Skip to content
Snippets Groups Projects
Normal view Permalink
gaptypes.json 5.5 MiB
Newer Older
  • Learn to ignore specific revisions
    • Markus Pfeiffer's avatar
    New gaptypes.json (exported with -A)  
    Markus Pfeiffer committed
    1 
    [{"name" : "IsObject","type" : "GAP_Category","implied" : []},{"name" : "IsMutable","type" : "GAP_Category","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"implied" : ["IsMutable","IsCopyable"],"aka" : ["IS_MUTABLE_OBJ","IsMutable"]},{"name" : "IsCopyable","type" : "GAP_Category","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"implied" : ["IsCopyable"],"aka" : ["IS_COPYABLE_OBJ","IsCopyable"]},{"name" : "IsFunction","type" : "GAP_Category","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"},"implied" : ["IsFunction"],"aka" : ["IS_FUNCTION","IsFunction"]},{"name" : "IsOperation","type" : "GAP_Category","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"},"implied" : ["IsFunction","IsOperation"],"aka" : ["IS_OPERATION","IsOperation"]},{"name" : "IsInt","type" : "GAP_Category","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"],"aka" : ["IS_INT","IsInt"]},{"name" : "IsRat","type" : "GAP_Category","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"],"aka" : ["IS_RAT","IsRat"]},{"name" : "IsCyc","type" : "GAP_Category","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"],"aka" : ["IS_CYC","IsCyc"]},{"name" : "IsFFE","type" : "GAP_Category","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsFFE","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement"],"aka" : ["IS_FFE","IsFFE"]},{"name" : "IsPerm","type" : "GAP_Category","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement"],"aka" : ["IS_PERM","IsPerm"]},{"name" : "IsTransformation","type" : "GAP_Category","location" : {"line" : 4,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.g"},"implied" : ["IsTransformation","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement"],"aka" : ["IS_TRANS","IsTransformation"]},{"name" : "IsPartialPerm","type" : "GAP_Category","location" : {"line" : 3,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.g"},"implied" : ["IsPartialPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement"],"aka" : ["IS_PPERM","IsPartialPerm"]},{"name" : "IsBool","type" : "GAP_Category","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"implied" : ["IsBool"],"aka" : ["IS_BOOL","IsBool"]},{"name" : "IsRecord","type" : "GAP_Category","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"implied" : ["IsRecord"],"aka" : ["IS_ATOMIC_RECORD","IS_REC","IsRecord"]},{"name" : "IsList","type" : "GAP_Category","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsList","IsListOrCollection"],"aka" : ["IS_LIST","IsList"]},{"name" : "IsDenseList","type" : "GAP_Category","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsList","IsDenseList","IsListOrCollection"],"aka" : ["IS_DENSE_LIST","IsDenseList"]},{"name" : "IsHomogeneousList","type" : "GAP_Category","location" : {"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection"],"aka" : ["IS_HOMOG_LIST","IsHomogeneousList"]},{"name" : "IsTable","type" : "GAP_Category","location" : {"line" : 598,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection"],"aka" : ["IS_TABLE_LIST","IsTable"]},{"name" : "Tester(IS_SSORT_LIST)","type" : "GAP_TrueProperty","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IS_SSORT_LIST)"],"aka" : ["HasIsSSortedList"]},{"name" : "Tester(IS_NSORT_LIST)","type" : "GAP_TrueProperty","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IS_NSORT_LIST)"],"aka" : ["HasIsNSortedList"]},{"name" : "Tester(IS_POSS_LIST)","type" : "GAP_TrueProperty","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IS_POSS_LIST)"],"aka" : ["HasIsPositionsList"]},{"name" : "IsPlistRep","type" : "GAP_Representation","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(LENGTH)","IsPlistRep","IsInternalRep"],"aka" : ["IS_PLIST_REP","IsPlistRep"]},{"name" : "IsBlist","type" : "GAP_Category","location" : {"line" : 744,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsBlist","IsListOrCollection"],"aka" : ["IS_BLIST","IsBlist"]},{"name" : "IsBlistRep","type" : "GAP_Representation","location" : {"line" : 784,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["IsBlistRep","IsInternalRep"],"aka" : ["IS_BLIST_REP","IsBlistRep"]},{"name" : "IsRange","type" : "GAP_Category","location" : {"line" : 528,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsRange","IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsCyclotomic)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IS_RANGE","IsRange"]},{"name" : "IsRangeRep","type" : "GAP_Representation","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["IsRangeRep","IsInternalRep"],"aka" : ["IS_RANGE_REP","IsRangeRep"]},{"name" : "IsString","type" : "GAP_Category","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsString","IsListOrCollection"],"aka" : ["IS_STRING","IsString"]},{"name" : "IsStringRep","type" : "GAP_Representation","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"implied" : ["IsStringRep","IsInternalRep"],"aka" : ["IS_STRING_REP","IsStringRep"]},{"name" : "IsWeakPointerObject","type" : "GAP_Category","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gd"},"implied" : ["IsList","IsWeakPointerObject","IsListOrCollection","IsFinite","Tester(IsFinite)","IsSmallList","Tester(IsSmallList)"],"aka" : ["IsWPObj","IsWeakPointerObject"]},{"name" : "IsNoImmediateMethodsObject","type" : "GAP_Filter","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/oper.g"},"implied" : ["IsNoImmediateMethodsObject"],"aka" : ["IsNoImmediateMethodsObject"]},{"name" : "IsInternalRep","type" : "GAP_Representation","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsInternalRep"],"aka" : ["IsInternalRep"]},{"name" : "IsPositionalObjectRep","type" : "GAP_Representation","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsPositionalObjectRep"],"aka" : ["IsPositionalObjectRep"]},{"name" : "IsComponentObjectRep","type" : "GAP_Representation","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsComponentObjectRep"],"aka" : ["IsComponentObjectRep"]},{"name" : "IsDataObjectRep","type" : "GAP_Representation","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsDataObjectRep"],"aka" : ["IsDataObjectRep"]},{"name" : "IsNonAtomicComponentObjectRep","type" : "GAP_Representation","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsComponentObjectRep","IsNonAtomicComponentObjectRep"],"aka" : ["IsNonAtomicComponentObjectRep"]},{"name" : "IsReadOnlyPositionalObjectRep","type" : "GAP_Representation","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsPositionalObjectRep","IsReadOnlyPositionalObjectRep"],"aka" : ["IsReadOnlyPositionalObjectRep"]},{"name" : "IsAtomicPositionalObjectRep","type" : "GAP_Representation","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsPositionalObjectRep","IsAtomicPositionalObjectRep"],"aka" : ["IsAtomicPositionalObjectRep"]},{"name" : "IsAttributeStoringRep","type" : "GAP_Representation","location" : {"line" : 354,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep"],"aka" : ["IsAttributeStoringRep"]},{"name" : "IsFamily","type" : "GAP_Category","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsFamily"],"aka" : ["IsFamily"]},{"name" : "IsType","type" : "GAP_Category","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsType"],"aka" : ["IsType"]},{"name" : "IsFamilyOfFamilies","type" : "GAP_Category","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsFamily","IsFamilyOfFamilies"],"aka" : ["IsFamilyOfFamilies"]},{"name" : "IsFamilyOfTypes","type" : "GAP_Category","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsFamily","IsFamilyOfTypes"],"aka" : ["IsFamilyOfTypes"]},{"name" : "IsFamilyDefaultRep","type" : "GAP_Representation","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsComponentObjectRep","IsFamilyDefaultRep"],"aka" : ["IsFamilyDefaultRep"]},{"name" : "IsTypeDefaultRep","type" : "GAP_Representation","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"implied" : ["IsPositionalObjectRep","IsTypeDefaultRep"],"aka" : ["IsTypeDefaultRep"]},{"name" : "IsPackedElementDefaultRep","type" : "GAP_Representation","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"implied" : ["IsPositionalObjectRep","IsPackedElementDefaultRep"],"aka" : ["IsPackedElementDefaultRep"]},{"name" : "IsToBeDefinedObj","type" : "GAP_Category","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/variable.g"},"implied" : ["IsToBeDefinedObj"],"aka" : ["IsToBeDefinedObj"]},{"name" : "IsLVarsBag","type" : "GAP_Category","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/variable.g"},"implied" : ["IsLVarsBag"],"aka" : ["IsLVarsBag"]},{"name" : "IsListOrCollection","type" : "GAP_Category","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["IsListOrCollection"],"aka" : ["IsListOrCollection"]},{"name" : "IsCollection","type" : "GAP_Category","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["IsListOrCollection","IsCollection"],"aka" : ["IsCollection"]},{"name" : "CategoryFamily(IsCollection)","type" : "GAP_Category","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["IsFamily","CategoryFamily(IsCollection)"],"aka" : ["IsCollectionFamily"]},{"name" : "IsStandardIterator","type" : "GAP_Filter","location" : {"line" : 1132,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["IsStandardIterator"],"aka" : ["IsStandardIterator"]},{"name" : "IsIterator","type" : "GAP_Category","location" : {"line" : 1175,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["IsIterator"],"aka" : ["IsIterator"]},{"name" : "Tester(IsEmpty)","type" : "GAP_TrueProperty","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(IsEmpty)"],"aka" : ["HasIsEmpty"]},{"name" : "Tester(IsTrivial)","type" : "GAP_TrueProperty","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(IsTrivial)"],"aka" : ["HasIsTrivial"]},{"name" : "Tester(IsNonTrivial)","type" : "GAP_TrueProperty","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(IsNonTrivial)"],"aka" : ["HasIsNonTrivial"]},{"name" : "Tester(IsFinite)","type" : "GAP_TrueProperty","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(IsFinite)"],"aka" : ["HasIsFinite"]},{"name" : "Tester(IsWholeFamily)","type" : "GAP_TrueProperty","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(IsWholeFamily)"],"aka" : ["HasIsWholeFamily"]},{"name" : "Tester(CanEasilyCompareElements)","type" : "GAP_TrueProperty","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(CanEasilyCompareElements)"],"aka" : ["HasCanEasilyCompareElements"]},{"name" : "Tester(CanEasilySortElements)","type" : "GAP_TrueProperty","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["Tester(CanEasilySortElements)"],"aka" : ["HasCanEasilySortElements"]},{"name" : "CanComputeSize","type" : "GAP_Filter","location" : {"line" : 3242,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"implied" : ["CanComputeSize"],"aka" : ["CanComputeSize"]},{"name" : "IsConstantTimeAccessList","type" : "GAP_Category","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsList","IsListOrCollection","IsConstantTimeAccessList"],"aka" : ["IsConstantTimeAccessList"]},{"name" : "Tester(IsSmallList)","type" : "GAP_TrueProperty","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IsSmallList)"],"aka" : ["HasIsSmallList"]},{"name" : "Tester(IsSortedList)","type" : "GAP_TrueProperty","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IsSortedList)"],"aka" : ["HasIsSortedList"]},{"name" : "Tester(IsDuplicateFree)","type" : "GAP_TrueProperty","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["Tester(IsDuplicateFree)"],"aka" : ["HasIsDuplicateFree"]},{"name" : "IsQuickPositionList","type" : "GAP_Filter","location" : {"line" : 997,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"implied" : ["IsQuickPositionList"],"aka" : ["IsQuickPositionList"]},{"name" : "IsExtAElement","type" : "GAP_Category","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement"],"aka" : ["IsExtAElement"]},{"name" : "CategoryCollections(IsExtAElement)","type" : "GAP_Category","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)"],"aka" : ["IsExtAElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsExtAElement))","type" : "GAP_Category","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsExtAElement))"],"aka" : ["IsExtAElementCollColl"]},{"name" : "IsNearAdditiveElement","type" : "GAP_Category","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement"],"aka" : ["IsNearAdditiveElement"]},{"name" : "CategoryCollections(IsNearAdditiveElement)","type" : "GAP_Category","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)"],"aka" : ["IsNearAdditiveElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsNearAdditiveElement))","type" : "GAP_Category","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))"],"aka" : ["IsNearAdditiveElementCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","type" : "GAP_Category","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))"],"aka" : ["IsNearAdditiveElementCollCollColl"]},{"name" : "IsNearAdditiveElementWithZero","type" : "GAP_Category","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero"],"aka" : ["IsNearAdditiveElementWithZero"]},{"name" : "CategoryCollections(IsNearAdditiveElementWithZero)","type" : "GAP_Category","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)"],"aka" : ["IsNearAdditiveElementWithZeroCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","type" : "GAP_Category","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))"],"aka" : ["IsNearAdditiveElementWithZeroCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","type" : "GAP_Category","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))"],"aka" : ["IsNearAdditiveElementWithZeroCollCollColl"]},{"name" : "IsNearAdditiveElementWithInverse","type" : "GAP_Category","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse"],"aka" : ["IsNearAdditiveElementWithInverse"]},{"name" : "CategoryCollections(IsNearAdditiveElementWithInverse)","type" : "GAP_Category","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)"],"aka" : ["IsNearAdditiveElementWithInverseCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","type" : "GAP_Category","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))"],"aka" : ["IsNearAdditiveElementWithInverseCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","type" : "GAP_Category","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))"],"aka" : ["IsNearAdditiveElementWithInverseCollCollColl"]},{"name" : "IsAdditiveElement","type" : "GAP_Category","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsAdditiveElement"],"aka" : ["IsAdditiveElement"]},{"name" : "CategoryCollections(IsAdditiveElement)","type" : "GAP_Category","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsAdditiveElement)"],"aka" : ["IsAdditiveElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsAdditiveElement))","type" : "GAP_Category","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsAdditiveElement))"],"aka" : ["IsAdditiveElementCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","type" : "GAP_Category","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"],"aka" : ["IsAdditiveElementCollCollColl"]},{"name" : "IsExtLElement","type" : "GAP_Category","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement"],"aka" : ["IsExtLElement"]},{"name" : "CategoryCollections(IsExtLElement)","type" : "GAP_Category","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)"],"aka" : ["IsExtLElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsExtLElement))","type" : "GAP_Category","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsExtLElement))"],"aka" : ["IsExtLElementCollColl"]},{"name" : "IsExtRElement","type" : "GAP_Category","location" : {"line" : 311,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtRElement"],"aka" : ["IsExtRElement"]},{"name" : "CategoryCollections(IsExtRElement)","type" : "GAP_Category","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtRElement","CategoryCollections(IsExtRElement)"],"aka" : ["IsExtRElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsExtRElement))","type" : "GAP_Category","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsExtRElement))"],"aka" : ["IsExtRElementCollColl"]},{"name" : "IsMultiplicativeElement","type" : "GAP_Category","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement"],"aka" : ["IsMultiplicativeElement"]},{"name" : "CategoryCollections(IsMultiplicativeElement)","type" : "GAP_Category","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["IsMultiplicativeElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsMultiplicativeElement))","type" : "GAP_Category","location" : {"line" : 341,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],"aka" : ["IsMultiplicativeElementCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","type" : "GAP_Category","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"],"aka" : ["IsMultiplicativeElementCollCollColl"]},{"name" : "IsMultiplicativeElementWithOne","type" : "GAP_Category","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne"],"aka" : ["IsMultiplicativeElementWithOne"]},{"name" : "CategoryCollections(IsMultiplicativeElementWithOne)","type" : "GAP_Category","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)"],"aka" : ["IsMultiplicativeElementWithOneCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","type" : "GAP_Category","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"],"aka" : ["IsMultiplicativeElementWithOneCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","type" : "GAP_Category","location" : {"line" : 370,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"],"aka" : ["IsMultiplicativeElementWithOneCollCollColl"]},{"name" : "IsMultiplicativeElementWithInverse","type" : "GAP_Category","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse"],"aka" : ["IsMultiplicativeElementWithInverse"]},{"name" : "CategoryCollections(IsMultiplicativeElementWithInverse)","type" : "GAP_Category","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)"],"aka" : ["IsMultiplicativeElementWithInverseCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","type" : "GAP_Category","location" : {"line" : 401,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"],"aka" : ["IsMultiplicativeElementWithInverseCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","type" : "GAP_Category","location" : {"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"],"aka" : ["IsMultiplicativeElementWithInverseCollCollColl"]},{"name" : "IsOddAdditiveNestingDepthFamily","type" : "GAP_Filter","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsOddAdditiveNestingDepthFamily"],"aka" : ["IsOddAdditiveNestingDepthFamily"]},{"name" : "IsOddAdditiveNestingDepthObject","type" : "GAP_Filter","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsOddAdditiveNestingDepthObject"],"aka" : ["IsOddAdditiveNestingDepthObject"]},{"name" : "IsGeneralizedRowVector","type" : "GAP_Category","location" : {"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsGeneralizedRowVector"],"aka" : ["IsGeneralizedRowVector"]},{"name" : "IsMultiplicativeGeneralizedRowVector","type" : "GAP_Category","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVector"],"aka" : ["IsMultiplicativeGeneralizedRowVector"]},{"name" : "CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","type" : "GAP_Category","location" : {"line" : 733,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))"],"aka" : ["IsNearRingElementFamily"]},{"name" : "CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","type" : "GAP_Category","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))"],"aka" : ["IsRingElementFamily"]},{"name" : "IsZDFRE","type" : "GAP_Category","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE"],"aka" : ["IsZDFRE"]},{"name" : "CategoryCollections(IsZDFRE)","type" : "GAP_Category","location" : {"line" : 956,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)"],"aka" : ["IsZDFRECollection"]},{"name" : "CategoryCollections(CategoryCollections(IsZDFRE))","type" : "GAP_Category","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))"],"aka" : ["IsZDFRECollColl"]},{"name" : "CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))","type" : "GAP_Category","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))"],"aka" : ["IsMatrixCollection"]},{"name" : "IsOrdinaryMatrix","type" : "GAP_Category","location" : {"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","IsMultiplicativeElement","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVector","IsOrdinaryMatrix"],"aka" : ["IsOrdinaryMatrix"]},{"name" : "CategoryCollections(IsOrdinaryMatrix)","type" : "GAP_Category","location" : {"line" : 1043,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))","CategoryCollections(IsOrdinaryMatrix)"],"aka" : ["IsOrdinaryMatrixCollection"]},{"name" : "IsLieMatrix","type" : "GAP_Category","location" : {"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","IsMultiplicativeElement","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVector","IsLieMatrix"],"aka" : ["IsLieMatrix"]},{"name" : "IsAssociativeElement","type" : "GAP_Category","location" : {"line" : 1106,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement"],"aka" : ["IsAssociativeElement"]},{"name" : "CategoryCollections(IsAssociativeElement)","type" : "GAP_Category","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsAssociativeElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsAssociativeElement))","type" : "GAP_Category","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsAssociativeElement))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsAssociativeElementCollColl"]},{"name" : "IsAdditivelyCommutativeElement","type" : "GAP_Category","location" : {"line" : 1151,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsAdditivelyCommutativeElement"],"aka" : ["IsAdditivelyCommutativeElement"]},{"name" : "CategoryCollections(IsAdditivelyCommutativeElement)","type" : "GAP_Category","location" : {"line" : 1152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsAdditivelyCommutativeElement)"],"aka" : ["IsAdditivelyCommutativeElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","type" : "GAP_Category","location" : {"line" : 1153,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))"],"aka" : ["IsAdditivelyCommutativeElementCollColl"]},{"name" : "CategoryFamily(IsAdditivelyCommutativeElement)","type" : "GAP_Category","location" : {"line" : 1155,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsFamily","CategoryFamily(IsAdditivelyCommutativeElement)"],"aka" : ["IsAdditivelyCommutativeElementFamily"]},{"name" : "IsCommutativeElement","type" : "GAP_Category","location" : {"line" : 1202,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsCommutativeElement"],"aka" : ["IsCommutativeElement"]},{"name" : "CategoryCollections(IsCommutativeElement)","type" : "GAP_Category","location" : {"line" : 1203,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsCommutativeElement)"],"aka" : ["IsCommutativeElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsCommutativeElement))","type" : "GAP_Category","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))"],"aka" : ["IsCommutativeElementCollColl"]},{"name" : "IsFiniteOrderElement","type" : "GAP_Category","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsFiniteOrderElement"],"aka" : ["IsFiniteOrderElement"]},{"name" : "CategoryCollections(IsFiniteOrderElement)","type" : "GAP_Category","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsFiniteOrderElement)"],"aka" : ["IsFiniteOrderElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsFiniteOrderElement))","type" : "GAP_Category","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsFiniteOrderElement))"],"aka" : ["IsFiniteOrderElementCollColl"]},{"name" : "IsJacobianElement","type" : "GAP_Category","location" : {"line" : 1268,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsJacobianElement"],"aka" : ["IsJacobianElement"]},{"name" : "CategoryCollections(IsJacobianElement)","type" : "GAP_Category","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)"],"aka" : ["IsJacobianElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsJacobianElement))","type" : "GAP_Category","location" : {"line" : 1270,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsJacobianElement))"],"aka" : ["IsJacobianElementCollColl"]},{"name" : "IsRestrictedJacobianElement","type" : "GAP_Category","location" : {"line" : 1272,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsJacobianElement","IsRestrictedJacobianElement"],"aka" : ["IsRestrictedJacobianElement"]},{"name" : "CategoryCollections(IsRestrictedJacobianElement)","type" : "GAP_Category","location" : {"line" : 1273,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)","CategoryCollections(IsRestrictedJacobianElement)"],"aka" : ["IsRestrictedJacobianElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsRestrictedJacobianElement))","type" : "GAP_Category","location" : {"line" : 1274,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsJacobianElement))","CategoryCollections(CategoryCollections(IsRestrictedJacobianElement))"],"aka" : ["IsRestrictedJacobianElementCollColl"]},{"name" : "IsZeroSquaredElement","type" : "GAP_Category","location" : {"line" : 1301,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsZeroSquaredElement"],"aka" : ["IsZeroSquaredElement"]},{"name" : "CategoryCollections(IsZeroSquaredElement)","type" : "GAP_Category","location" : {"line" : 1302,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsZeroSquaredElement)"],"aka" : ["IsZeroSquaredElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsZeroSquaredElement))","type" : "GAP_Category","location" : {"line" : 1303,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsZeroSquaredElement))"],"aka" : ["IsZeroSquaredElementCollColl"]},{"name" : "Tester(IsZero)","type" : "GAP_TrueProperty","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsZero)"],"aka" : ["HasIsZero"]},{"name" : "Tester(IsOne)","type" : "GAP_TrueProperty","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsOne)"],"aka" : ["HasIsOne"]},{"name" : "Tester(IsCommutativeFamily)","type" : "GAP_TrueProperty","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsCommutativeFamily)"],"aka" : ["HasIsCommutativeFamily"]},{"name" : "Tester(IsSkewFieldFamily)","type" : "GAP_TrueProperty","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsSkewFieldFamily)"],"aka" : ["HasIsSkewFieldFamily"]},{"name" : "Tester(IsUFDFamily)","type" : "GAP_TrueProperty","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsUFDFamily)"],"aka" : ["HasIsUFDFamily"]},{"name" : "IsAdditiveElementAsMultiplicativeElementRep","type" : "GAP_Representation","location" : {"line" : 2085,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAdditiveElementAsMultiplicativeElementRep"],"aka" : ["IsAdditiveElementAsMultiplicativeElementRep"]},{"name" : "Tester(IsIdempotent)","type" : "GAP_TrueProperty","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"implied" : ["Tester(IsIdempotent)"],"aka" : ["HasIsIdempotent"]},{"name" : "CategoryCollections(IsFFE)","type" : "GAP_Category","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsFFE)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsFFECollection"]},{"name" : "CategoryCollections(CategoryCollections(IsFFE))","type" : "GAP_Category","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsFFECollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","type" : "GAP_Category","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"],"aka" : ["IsFFECollCollColl"]},{"name" : "IsLexOrderedFFE","type" : "GAP_Category","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsFFE","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsLexOrderedFFE"],"aka" : ["IsLexOrderedFFE"]},{"name" : "IsLogOrderedFFE","type" : "GAP_Category","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsFFE","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsLogOrderedFFE"],"aka" : ["IsLogOrderedFFE"]},{"name" : "CategoryFamily(IsFFE)","type" : "GAP_Category","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsAdditivelyCommutativeElement)","CategoryFamily(IsFFE)"],"aka" : ["IsFFEFamily"]},{"name" : "IsGeneralizedDomain","type" : "GAP_Category","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"implied" : ["IsGeneralizedDomain"],"aka" : ["IsGeneralizedDomain"]},{"name" : "IsChar","type" : "GAP_Category","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"implied" : ["IsChar"],"aka" : ["IsChar"]},{"name" : "CategoryCollections(IsChar)","type" : "GAP_Category","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(IsChar)"],"aka" : ["IsCharCollection"]},{"name" : "IsCyclotomic","type" : "GAP_Category","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"],"aka" : ["IsCyclotomic"]},{"name" : "CategoryCollections(IsCyclotomic)","type" : "GAP_Category","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsCyclotomic)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsCyclotomicCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsCyclotomic))","type" : "GAP_Category","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsCyclotomicCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","type" : "GAP_Category","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"],"aka" : ["IsCyclotomicCollCollColl"]},{"name" : "IsPosRat","type" : "GAP_Category","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsPosRat"],"aka" : ["IsPosRat"]},{"name" : "IsNegRat","type" : "GAP_Category","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsNegRat"],"aka" : ["IsNegRat"]},{"name" : "IsZeroCyc","type" : "GAP_Category","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsZero","Tester(IsZero)","IsCyclotomic","IsZeroCyc"],"aka" : ["IsZeroCyc"]},{"name" : "IsSmallIntRep","type" : "GAP_Representation","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsInternalRep","IsSmallIntRep"],"aka" : ["IsSmallIntRep"]},{"name" : "IsInfinity","type" : "GAP_Category","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsInfinity"],"aka" : ["IsInfinity"]},{"name" : "IsNegInfinity","type" : "GAP_Category","location" : {"line" : 498,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsNegInfinity"],"aka" : ["IsNegInfinity"]},{"name" : "Tester(IsIntegralCyclotomic)","type" : "GAP_TrueProperty","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"implied" : ["Tester(IsIntegralCyclotomic)"],"aka" : ["HasIsCycInt","HasIsIntegralCyclotomic"]},{"name" : "CategoryCollections(IsRecord)","type" : "GAP_Category","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(IsRecord)"],"aka" : ["IsRecordCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsRecord))","type" : "GAP_Category","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsRecord))"],"aka" : ["IsRecordCollColl"]},{"name" : "IsEnumeratorByFunctionsRep","type" : "GAP_Representation","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"implied" : ["IsComponentObjectRep","IsEnumeratorByFunctionsRep"],"aka" : ["IsEnumeratorByFunctionsRep"]},{"name" : "IsIteratorByFunctionsRep","type" : "GAP_Representation","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"implied" : ["IsComponentObjectRep","IsIteratorByFunctionsRep"],"aka" : ["IsIteratorByFunctionsRep"]},{"name" : "IsListDefault","type" : "GAP_Category","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["IsList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVector","IsListDefault"],"aka" : ["IsListDefault"]},{"name" : "Tester(IsRectangularTable)","type" : "GAP_TrueProperty","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"implied" : ["Tester(IsRectangularTable)"],"aka" : ["HasIsRectangularTable"]},{"name" : "CategoryCollections(IsPerm)","type" : "GAP_Category","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsFiniteOrderElement)","CategoryCollections(IsPerm)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)"],"aka" : ["IsPermCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsPerm))","type" : "GAP_Category","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsFiniteOrderElement))","CategoryCollections(CategoryCollections(IsPerm))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsPermCollColl"]},{"name" : "IsPerm2Rep","type" : "GAP_Representation","location" : {"line" : 343,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"implied" : ["IsInternalRep","IsPerm2Rep"],"aka" : ["IsPerm2Rep"]},{"name" : "IsPerm4Rep","type" : "GAP_Representation","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"implied" : ["IsInternalRep","IsPerm4Rep"],"aka" : ["IsPerm4Rep"]},{"name" : "CategoryCollections(IsTransformation)","type" : "GAP_Category","location" : {"line" : 6,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsTransformation)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsTransformationCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsTransformation))","type" : "GAP_Category","location" : {"line" : 7,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsTransformation))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsTransformationCollColl"]},{"name" : "IsTrans2Rep","type" : "GAP_Representation","location" : {"line" : 12,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.g"},"implied" : ["IsInternalRep","IsTrans2Rep"],"aka" : ["IsTrans2Rep"]},{"name" : "IsTrans4Rep","type" : "GAP_Representation","location" : {"line" : 13,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.g"},"implied" : ["IsInternalRep","IsTrans4Rep"],"aka" : ["IsTrans4Rep"]},{"name" : "CategoryCollections(IsPartialPerm)","type" : "GAP_Category","location" : {"line" : 5,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsPartialPerm)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsGeneratorsOfInverseSemigroup","Tester(IsGeneratorsOfInverseSemigroup)"],"aka" : ["IsPartialPermCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsPartialPerm))","type" : "GAP_Category","location" : {"line" : 6,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.g"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsPartialPerm))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsPartialPermCollColl"]},{"name" : "IsPPerm2Rep","type" : "GAP_Representation","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.g"},"implied" : ["IsInternalRep","IsPPerm2Rep"],"aka" : ["IsPPerm2Rep"]},{"name" : "IsPPerm4Rep","type" : "GAP_Representation","location" : {"line" : 12,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.g"},"implied" : ["IsInternalRep","IsPPerm4Rep"],"aka" : ["IsPPerm4Rep"]},{"name" : "IsInfoClass","type" : "GAP_Category","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gd"},"implied" : ["IsInfoClass"],"aka" : ["IsInfoClass"]},{"name" : "CategoryCollections(IsInfoClass)","type" : "GAP_Category","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gd"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(IsInfoClass)"],"aka" : ["IsInfoClassCollection"]},{"name" : "IsDirectory","type" : "GAP_Category","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"},"implied" : ["IsDirectory"],"aka" : ["IsDirectory"]},{"name" : "IsInputTextStringRep","type" : "GAP_Representation","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsPositionalObjectRep","IsInputTextStringRep"],"aka" : ["IsInputTextStringRep"]},{"name" : "IsClosedStream","type" : "GAP_Category","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsClosedStream"],"aka" : ["IsClosedStream"]},{"name" : "IsStream","type" : "GAP_Category","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream"],"aka" : ["IsStream"]},{"name" : "IsInputStream","type" : "GAP_Category","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsInputStream"],"aka" : ["IsInputStream"]},{"name" : "IsInputTextStream","type" : "GAP_Category","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsInputStream","IsInputTextStream"],"aka" : ["IsInputTextStream"]},{"name" : "IsInputTextNone","type" : "GAP_Category","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsInputStream","IsInputTextStream","IsInputTextNone"],"aka" : ["IsInputTextNone"]},{"name" : "IsOutputStream","type" : "GAP_Category","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsOutputStream"],"aka" : ["IsOutputStream"]},{"name" : "IsOutputTextStream","type" : "GAP_Category","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsOutputStream","IsOutputTextStream"],"aka" : ["IsOutputTextStream"]},{"name" : "IsOutputTextNone","type" : "GAP_Category","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsOutputStream","IsOutputTextStream","IsOutputTextNone"],"aka" : ["IsOutputTextNone"]},{"name" : "IsInputOutputStream","type" : "GAP_Category","location" : {"line" : 848,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},"implied" : ["IsStream","IsInputStream","IsOutputStream","IsInputOutputStream"],"aka" : ["IsInputOutputStream"]},{"name" : "IsRowVectorObj","type" : "GAP_Category","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj1.gd"},"implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj"],"aka" : ["IsRowVectorObj"]},{"name" : "IsMatrixObj","type" : "GAP_Category","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj1.gd"},"implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj"],"aka" : ["IsMatrixObj"]},{"name" : "IsRowListMatrix","type" : "GAP_Category","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj1.gd"},"implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix"],"aka" : ["IsRowListMatrix"]},{"name" : "IsFlatMatrix","type" : "GAP_Category","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj1.gd"},"implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsFlatMatrix"],"aka" : ["IsFlatMatrix"]},{"name" : "IsGF2VectorRep","type" : "GAP_Representation","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gd"},"implied" : ["IsCopyable","IsDataObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","IsGF2VectorRep"],"aka" : ["IsGF2VectorRep"]},{"name" : "IsGF2MatrixRep","type" : "GAP_Representation","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gd"},"implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","IsGF2MatrixRep"],"aka" : ["IsGF2MatrixRep"]},{"name" : "Is8BitVectorRep","type" : "GAP_Representation","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gd"},"implied" : ["IsCopyable","IsDataObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","Is8BitVectorRep"],"aka" : ["Is8BitVectorRep"]},{"name" : "Is8BitMatrixRep","type" : "GAP_Representation","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gd"},"implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","Is8BitMatrixRep"],"aka" : ["Is8BitMatrixRep"]},{"name" : "IsInfoClassListRep","type" : "GAP_Representation","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"implied" : ["IsPositionalObjectRep","IsInfoClassListRep"],"aka" : ["IsInfoClassListRep"]},{"name" : "IsRandomSource","type" : "GAP_Category","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},"implied" : ["IsComponentObjectRep","IsRandomSource"],"aka" : ["IsRandomSource"]},{"name" : "IsGlobalRandomSource","type" : "GAP_Category","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},"implied" : ["IsComponentObjectRep","IsRandomSource","IsGlobalRandomSource"],"aka" : ["IsGlobalRandomSource"]},{"name" : "IsGAPRandomSource","type" : "GAP_Category","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},"implied" : ["IsComponentObjectRep","IsRandomSource","IsGAPRandomSource"],"aka" : ["IsGAPRandomSource"]},{"name" : "IsMersenneTwister","type" : "GAP_Category","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},"implied" : ["IsComponentObjectRep","IsRandomSource","IsMersenneTwister"],"aka" : ["IsMersenneTwister"]},{"name" : "IsObjSet","type" : "GAP_Filter","location" : {"line" : 2,"file" : "\/home\/makx\/ac\/gap\/lib\/objset.g"},"implied" : ["IsInternalRep","IsObjSet"],"aka" : ["IsObjSet"]},{"name" : "IsObjMap","type" : "GAP_Filter","location" : {"line" : 3,"file" : "\/home\/makx\/ac\/gap\/lib\/objset.g"},"implied" : ["IsInternalRep","IsObjMap"],"aka" : ["IsObjMap"]},{"name" : "IsFloat","type" : "GAP_Category","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat"],"aka" : ["IsFloat"]},{"name" : "IsFloatInterval","type" : "GAP_Category","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsFloatInterval"],"aka" : ["IsFloatInterval"]},{"name" : "IsComplexFloat","type" : "GAP_Category","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsComplexFloat"],"aka" : ["IsComplexFloat"]},{"name" : "IsComplexFloatInterval","type" : "GAP_Category","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsFloatInterval","IsComplexFloat","IsComplexFloatInterval"],"aka" : ["IsComplexFloatInterval"]},{"name" : "CategoryFamily(IsFloat)","type" : "GAP_Category","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsFloat)"],"aka" : ["IsFloatFamily"]},{"name" : "CategoryCollections(IsFloat)","type" : "GAP_Category","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsFloat)"],"aka" : ["IsFloatCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsFloat))","type" : "GAP_Category","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFloat))"],"aka" : ["IsFloatCollColl"]},{"name" : "Tester(IsPInfinity)","type" : "GAP_TrueProperty","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["Tester(IsPInfinity)"],"aka" : ["HasIsPInfinity"]},{"name" : "Tester(IsNInfinity)","type" : "GAP_TrueProperty","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["Tester(IsNInfinity)"],"aka" : ["HasIsNInfinity"]},{"name" : "Tester(IsXInfinity)","type" : "GAP_TrueProperty","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["Tester(IsXInfinity)"],"aka" : ["HasIsXInfinity"]},{"name" : "Tester(IsNaN)","type" : "GAP_TrueProperty","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"implied" : ["Tester(IsNaN)"],"aka" : ["HasIsNaN"]},{"name" : "IsIEEE754FloatRep","type" : "GAP_Representation","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/macfloat.g"},"implied" : ["IsInternalRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsIEEE754FloatRep"],"aka" : ["FLOAT_DEFAULT_REP","IsIEEE754FloatRep"]},{"name" : "IsDirectoryRep","type" : "GAP_Representation","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"implied" : ["IsPositionalObjectRep","IsDirectoryRep"],"aka" : ["IsDirectoryRep"]},{"name" : "IsInputTextFileRep","type" : "GAP_Representation","location" : {"line" : 611,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsInputTextFileRep"],"aka" : ["IsInputTextFileRep"]},{"name" : "IsInputTextNoneRep","type" : "GAP_Representation","location" : {"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsInputTextNoneRep"],"aka" : ["IsInputTextNoneRep"]},{"name" : "IsOutputTextStringRep","type" : "GAP_Representation","location" : {"line" : 923,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsOutputTextStringRep"],"aka" : ["IsOutputTextStringRep"]},{"name" : "IsOutputTextFileRep","type" : "GAP_Representation","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsOutputTextFileRep"],"aka" : ["IsOutputTextFileRep"]},{"name" : "IsOutputTextNoneRep","type" : "GAP_Representation","location" : {"line" : 1223,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsOutputTextNoneRep"],"aka" : ["IsOutputTextNoneRep"]},{"name" : "IsInputOutputStreamByPtyRep","type" : "GAP_Representation","location" : {"line" : 1370,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"implied" : ["IsPositionalObjectRep","IsInputOutputStreamByPtyRep"],"aka" : ["IsInputOutputStreamByPtyRep"]},{"name" : "IsDirectProductElement","type" : "GAP_Category","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"implied" : ["IsCopyable","IsList","IsDenseList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsDirectProductElement"],"aka" : ["IsDirectProductElement"]},{"name" : "CategoryFamily(IsDirectProductElement)","type" : "GAP_Category","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsDirectProductElement)"],"aka" : ["IsDirectProductElementFamily"]},{"name" : "CategoryCollections(IsDirectProductElement)","type" : "GAP_Category","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsDirectProductElement)"],"aka" : ["IsDirectProductElementCollection"]},{"name" : "IsDefaultDirectProductElementRep","type" : "GAP_Representation","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"implied" : ["IsCopyable","IsList","IsDenseList","IsPositionalObjectRep","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsDirectProductElement","IsDefaultDirectProductElementRep"],"aka" : ["IsDefaultDirectProductElementRep"]},{"name" : "IsExtASet","type" : "GAP_Category","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet"],"aka" : ["IsExtASet"]},{"name" : "IsAssociativeAOpDSum","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsAssociativeAOpDSum"],"aka" : ["IsAssociativeAOpDSum"]},{"name" : "IsAssociativeAOpESum","type" : "GAP_Category","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsAssociativeAOpESum"],"aka" : ["IsAssociativeAOpESum"]},{"name" : "IsTrivialAOpEZero","type" : "GAP_Category","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsTrivialAOpEZero"],"aka" : ["IsTrivialAOpEZero"]},{"name" : "IsExtLSet","type" : "GAP_Category","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet"],"aka" : ["IsExtLSet"]},{"name" : "IsAssociativeLOpDProd","type" : "GAP_Category","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd"],"aka" : ["IsAssociativeLOpDProd"]},{"name" : "IsAssociativeLOpEProd","type" : "GAP_Category","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd"],"aka" : ["IsAssociativeLOpEProd"]},{"name" : "IsDistributiveLOpDProd","type" : "GAP_Category","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpDProd"],"aka" : ["IsDistributiveLOpDProd"]},{"name" : "IsDistributiveLOpDSum","type" : "GAP_Category","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpDSum"],"aka" : ["IsDistributiveLOpDSum"]},{"name" : "IsDistributiveLOpEProd","type" : "GAP_Category","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpEProd"],"aka" : ["IsDistributiveLOpEProd"]},{"name" : "IsDistributiveLOpESum","type" : "GAP_Category","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpESum"],"aka" : ["IsDistributiveLOpESum"]},{"name" : "IsTrivialLOpEOne","type" : "GAP_Category","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsTrivialLOpEOne"],"aka" : ["IsTrivialLOpEOne"]},{"name" : "IsTrivialLOpEZero","type" : "GAP_Category","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsTrivialLOpEZero"],"aka" : ["IsTrivialLOpEZero"]},{"name" : "IsLeftActedOnByRing","type" : "GAP_Category","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsLeftActedOnByRing"],"aka" : ["IsLeftActedOnByRing"]},{"name" : "Tester(IsLeftActedOnByDivisionRing)","type" : "GAP_TrueProperty","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["Tester(IsLeftActedOnByDivisionRing)"],"aka" : ["HasIsLeftActedOnByDivisionRing"]},{"name" : "IsLeftActedOnBySuperset","type" : "GAP_Category","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsLeftActedOnBySuperset"],"aka" : ["IsLeftActedOnBySuperset"]},{"name" : "IsExtRSet","type" : "GAP_Category","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet"],"aka" : ["IsExtRSet"]},{"name" : "IsAssociativeROpDProd","type" : "GAP_Category","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsAssociativeROpDProd"],"aka" : ["IsAssociativeROpDProd"]},{"name" : "IsAssociativeROpEProd","type" : "GAP_Category","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsAssociativeROpEProd"],"aka" : ["IsAssociativeROpEProd"]},{"name" : "IsDistributiveROpDProd","type" : "GAP_Category","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpDProd"],"aka" : ["IsDistributiveROpDProd"]},{"name" : "IsDistributiveROpDSum","type" : "GAP_Category","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpDSum"],"aka" : ["IsDistributiveROpDSum"]},{"name" : "IsDistributiveROpEProd","type" : "GAP_Category","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpEProd"],"aka" : ["IsDistributiveROpEProd"]},{"name" : "IsDistributiveROpESum","type" : "GAP_Category","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpESum"],"aka" : ["IsDistributiveROpESum"]},{"name" : "IsTrivialROpEOne","type" : "GAP_Category","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsTrivialROpEOne"],"aka" : ["IsTrivialROpEOne"]},{"name" : "IsTrivialROpEZero","type" : "GAP_Category","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsTrivialROpEZero"],"aka" : ["IsTrivialROpEZero"]},{"name" : "IsRightActedOnByRing","type" : "GAP_Category","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsRightActedOnByRing"],"aka" : ["IsRightActedOnByRing"]},{"name" : "IsRightActedOnByDivisionRing","type" : "GAP_Category","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsRightActedOnByRing","IsRightActedOnByDivisionRing"],"aka" : ["IsRightActedOnByDivisionRing"]},{"name" : "IsRightActedOnBySuperset","type" : "GAP_Category","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsRightActedOnBySuperset"],"aka" : ["IsRightActedOnBySuperset"]},{"name" : "IsExtUSet","type" : "GAP_Category","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet"],"aka" : ["IsExtUSet"]},{"name" : "IsAssociativeUOpDProd","type" : "GAP_Category","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsAssociativeUOpDProd"],"aka" : ["IsAssociativeUOpDProd"]},{"name" : "IsAssociativeUOpEProd","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsAssociativeUOpEProd"],"aka" : ["IsAssociativeUOpEProd"]},{"name" : "IsDistributiveUOpDProd","type" : "GAP_Category","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpDProd"],"aka" : ["IsDistributiveUOpDProd"]},{"name" : "IsDistributiveUOpDSum","type" : "GAP_Category","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpDSum"],"aka" : ["IsDistributiveUOpDSum"]},{"name" : "IsDistributiveUOpEProd","type" : "GAP_Category","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpEProd"],"aka" : ["IsDistributiveUOpEProd"]},{"name" : "IsDistributiveUOpESum","type" : "GAP_Category","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpESum"],"aka" : ["IsDistributiveUOpESum"]},{"name" : "IsTrivialUOpEOne","type" : "GAP_Category","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsTrivialUOpEOne"],"aka" : ["IsTrivialUOpEOne"]},{"name" : "IsTrivialUOpEZero","type" : "GAP_Category","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsTrivialUOpEZero"],"aka" : ["IsTrivialUOpEZero"]},{"name" : "IsUpperActedOnByGroup","type" : "GAP_Category","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsUpperActedOnByGroup"],"aka" : ["IsUpperActedOnByGroup"]},{"name" : "IsUpperActedOnBySuperset","type" : "GAP_Category","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsUpperActedOnBySuperset"],"aka" : ["IsUpperActedOnBySuperset"]},{"name" : "IsDictionary","type" : "GAP_Category","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDictionary"],"aka" : ["IsDictionary"]},{"name" : "IsLookupDictionary","type" : "GAP_Category","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary"],"aka" : ["IsLookupDictionary"]},{"name" : "IsHash","type" : "GAP_Category","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsHash"],"aka" : ["IsHash"]},{"name" : "IsDictionaryDefaultRep","type" : "GAP_Representation","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsDictionaryDefaultRep"],"aka" : ["IsDictionaryDefaultRep"]},{"name" : "IsListDictionary","type" : "GAP_Representation","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsDictionaryDefaultRep","IsListDictionary"],"aka" : ["IsListDictionary"]},{"name" : "IsListLookupDictionary","type" : "GAP_Representation","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsDictionaryDefaultRep","IsListDictionary","IsListLookupDictionary"],"aka" : ["IsListLookupDictionary"]},{"name" : "IsSortDictionary","type" : "GAP_Representation","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsDictionaryDefaultRep","IsListDictionary","IsSortDictionary"],"aka" : ["IsSortDictionary"]},{"name" : "IsSortLookupDictionary","type" : "GAP_Representation","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsDictionaryDefaultRep","IsListDictionary","IsListLookupDictionary","IsSortDictionary","IsSortLookupDictionary"],"aka" : ["IsSortLookupDictionary"]},{"name" : "IsPositionDictionary","type" : "GAP_Representation","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsDictionaryDefaultRep","IsPositionDictionary"],"aka" : ["IsPositionDictionary"]},{"name" : "IsPositionLookupDictionary","type" : "GAP_Representation","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsDictionaryDefaultRep","IsPositionDictionary","IsPositionLookupDictionary"],"aka" : ["IsPositionLookupDictionary"]},{"name" : "TableHasIntKeyFun","type" : "GAP_Filter","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["TableHasIntKeyFun"],"aka" : ["TableHasIntKeyFun"]},{"name" : "IsDenseHashRep","type" : "GAP_Representation","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsHash","IsDenseHashRep"],"aka" : ["IsDenseHashRep"]},{"name" : "IsSparseHashRep","type" : "GAP_Representation","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},"implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsHash","IsSparseHashRep"],"aka" : ["IsSparseHashRep"]},{"name" : "IsGeneralMapping","type" : "GAP_Category","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping"],"aka" : ["IsGeneralMapping"]},{"name" : "IsSPGeneralMapping","type" : "GAP_Category","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping"],"aka" : ["IsSPGeneralMapping"]},{"name" : "IsNonSPGeneralMapping","type" : "GAP_Category","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping"],"aka" : ["IsNonSPGeneralMapping"]},{"name" : "CategoryCollections(IsGeneralMapping)","type" : "GAP_Category","location" : {"line" : 262,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsGeneralMapping)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"],"aka" : ["IsGeneralMappingCollection"]},{"name" : "CategoryFamily(IsGeneralMapping)","type" : "GAP_Category","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsFamily","CategoryFamily(IsGeneralMapping)"],"aka" : ["IsGeneralMappingFamily"]},{"name" : "Tester(IsConstantTimeAccessGeneralMapping)","type" : "GAP_TrueProperty","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsConstantTimeAccessGeneralMapping)"],"aka" : ["HasIsConstantTimeAccessGeneralMapping"]},{"name" : "Tester(IsEndoGeneralMapping)","type" : "GAP_TrueProperty","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsEndoGeneralMapping)"],"aka" : ["HasIsEndoGeneralMapping"]},{"name" : "Tester(IsTotal)","type" : "GAP_TrueProperty","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsTotal)"],"aka" : ["HasIsTotal"]},{"name" : "Tester(IsSingleValued)","type" : "GAP_TrueProperty","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsSingleValued)"],"aka" : ["HasIsSingleValued"]},{"name" : "Tester(IsInjective)","type" : "GAP_TrueProperty","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsInjective)"],"aka" : ["HasIsInjective"]},{"name" : "Tester(IsSurjective)","type" : "GAP_TrueProperty","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["Tester(IsSurjective)"],"aka" : ["HasIsSurjective"]},{"name" : "IsCompositionMappingRep","type" : "GAP_Representation","location" : {"line" : 1215,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsCompositionMappingRep"],"aka" : ["IsCompositionMappingRep"]},{"name" : "IsGeneralRestrictedMappingRep","type" : "GAP_Representation","location" : {"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsGeneralRestrictedMappingRep"],"aka" : ["IsGeneralRestrictedMappingRep"]},{"name" : "Tester(RespectsMultiplication)","type" : "GAP_TrueProperty","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsMultiplication)"],"aka" : ["HasRespectsMultiplication"]},{"name" : "Tester(RespectsOne)","type" : "GAP_TrueProperty","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsOne)"],"aka" : ["HasRespectsOne"]},{"name" : "Tester(RespectsInverses)","type" : "GAP_TrueProperty","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsInverses)"],"aka" : ["HasRespectsInverses"]},{"name" : "Tester(RespectsAddition)","type" : "GAP_TrueProperty","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsAddition)"],"aka" : ["HasRespectsAddition"]},{"name" : "Tester(RespectsZero)","type" : "GAP_TrueProperty","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsZero)"],"aka" : ["HasRespectsZero"]},{"name" : "Tester(RespectsAdditiveInverses)","type" : "GAP_TrueProperty","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsAdditiveInverses)"],"aka" : ["HasRespectsAdditiveInverses"]},{"name" : "Tester(RespectsScalarMultiplication)","type" : "GAP_TrueProperty","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(RespectsScalarMultiplication)"],"aka" : ["HasRespectsScalarMultiplication"]},{"name" : "Tester(IsFieldHomomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(IsFieldHomomorphism)"],"aka" : ["HasIsFieldHomomorphism"]},{"name" : "Tester(TransformsMultiplicationIntoAddition)","type" : "GAP_TrueProperty","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TransformsMultiplicationIntoAddition)"],"aka" : ["HasTransformsMultiplicationIntoAddition"]},{"name" : "Tester(TranformsOneIntoZero)","type" : "GAP_TrueProperty","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TranformsOneIntoZero)"],"aka" : ["HasTranformsOneIntoZero"]},{"name" : "Tester(TransformsInversesIntoAdditiveInverses)","type" : "GAP_TrueProperty","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TransformsInversesIntoAdditiveInverses)"],"aka" : ["HasTransformsInversesIntoAdditiveInverses"]},{"name" : "Tester(TransformsAdditionIntoMultiplication)","type" : "GAP_TrueProperty","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TransformsAdditionIntoMultiplication)"],"aka" : ["HasTransformsAdditionIntoMultiplication"]},{"name" : "Tester(TransformsZeroIntoOne)","type" : "GAP_TrueProperty","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TransformsZeroIntoOne)"],"aka" : ["HasTransformsZeroIntoOne"]},{"name" : "Tester(TransformsAdditiveInversesIntoInverses)","type" : "GAP_TrueProperty","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"implied" : ["Tester(TransformsAdditiveInversesIntoInverses)"],"aka" : ["HasTransformsAdditiveInversesIntoInverses"]},{"name" : "Tester(IsReflexiveBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsReflexiveBinaryRelation)"],"aka" : ["HasIsReflexiveBinaryRelation"]},{"name" : "Tester(IsSymmetricBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsSymmetricBinaryRelation)"],"aka" : ["HasIsSymmetricBinaryRelation"]},{"name" : "Tester(IsTransitiveBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsTransitiveBinaryRelation)"],"aka" : ["HasIsTransitiveBinaryRelation"]},{"name" : "Tester(IsAntisymmetricBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsAntisymmetricBinaryRelation)"],"aka" : ["HasIsAntisymmetricBinaryRelation"]},{"name" : "Tester(IsPreOrderBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsPreOrderBinaryRelation)"],"aka" : ["HasIsPreOrderBinaryRelation"]},{"name" : "Tester(IsPartialOrderBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsPartialOrderBinaryRelation)"],"aka" : ["HasIsPartialOrderBinaryRelation"]},{"name" : "Tester(IsLatticeOrderBinaryRelation)","type" : "GAP_TrueProperty","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsLatticeOrderBinaryRelation)"],"aka" : ["HasIsLatticeOrderBinaryRelation"]},{"name" : "Tester(IsEquivalenceRelation)","type" : "GAP_TrueProperty","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsEquivalenceRelation)"],"aka" : ["HasIsEquivalenceRelation"]},{"name" : "Tester(IsHasseDiagram)","type" : "GAP_TrueProperty","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["Tester(IsHasseDiagram)"],"aka" : ["HasIsHasseDiagram"]},{"name" : "IsEquivalenceClass","type" : "GAP_Category","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass"],"aka" : ["IsEquivalenceClass"]},{"name" : "IsMagma","type" : "GAP_Category","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma"],"aka" : ["IsMagma"]},{"name" : "IsMagmaWithOne","type" : "GAP_Category","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)"],"aka" : ["IsMagmaWithOne"]},{"name" : "IsMagmaWithInversesIfNonzero","type" : "GAP_Category","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","Tester(MultiplicativeNeutralElement)"],"aka" : ["IsMagmaWithInversesIfNonzero"]},{"name" : "IsMagmaWithInverses","type" : "GAP_Category","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","Tester(MultiplicativeNeutralElement)"],"aka" : ["IsMagmaWithInverses"]},{"name" : "Tester(IsGeneratorsOfMagmaWithInverses)","type" : "GAP_TrueProperty","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["Tester(IsGeneratorsOfMagmaWithInverses)"],"aka" : ["HasIsGeneratorsOfMagmaWithInverses"]},{"name" : "Tester(IsAssociative)","type" : "GAP_TrueProperty","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["Tester(IsAssociative)"],"aka" : ["HasIsAssociative"]},{"name" : "Tester(IsCommutative)","type" : "GAP_TrueProperty","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"implied" : ["Tester(IsCommutative)"],"aka" : ["HasIsAbelian","HasIsCommutative"]},{"name" : "IsMultiplicativeElementWithZero","type" : "GAP_Category","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithZero"],"aka" : ["IsMultiplicativeElementWithZero"]},{"name" : "CategoryCollections(IsMultiplicativeElementWithZero)","type" : "GAP_Category","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithZero)"],"aka" : ["IsMultiplicativeElementWithZeroCollection"]},{"name" : "IsMagmaWithZeroAdjoinedElementRep","type" : "GAP_Representation","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"],"aka" : ["IsMagmaWithZeroAdjoinedElementRep"]},{"name" : "IsMagmaWithZeroAdjoined","type" : "GAP_Category","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsMagmaWithZeroAdjoined"],"aka" : ["IsMagmaWithZeroAdjoined"]},{"name" : "IsLeftMagmaCongruence","type" : "GAP_Category","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsLeftMagmaCongruence"],"aka" : ["IsLeftMagmaCongruence"]},{"name" : "IsRightMagmaCongruence","type" : "GAP_Category","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsRightMagmaCongruence"],"aka" : ["IsRightMagmaCongruence"]},{"name" : "IsMagmaCongruence","type" : "GAP_Category","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","RespectsMultiplication","Tester(RespectsMultiplication)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsLeftMagmaCongruence","IsRightMagmaCongruence","IsMagmaCongruence"],"aka" : ["IsMagmaCongruence"]},{"name" : "IsCongruenceClass","type" : "GAP_Category","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsGeneralizedDomain","IsEquivalenceClass","IsCongruenceClass"],"aka" : ["IsCongruenceClass"]},{"name" : "Tester(IsLeftSemigroupCongruence)","type" : "GAP_TrueProperty","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"implied" : ["Tester(IsLeftSemigroupCongruence)"],"aka" : ["HasIsLeftSemigroupCongruence"]},{"name" : "Tester(IsRightSemigroupCongruence)","type" : "GAP_TrueProperty","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"implied" : ["Tester(IsRightSemigroupCongruence)"],"aka" : ["HasIsRightSemigroupCongruence"]},{"name" : "Tester(IsSemigroupCongruence)","type" : "GAP_TrueProperty","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"implied" : ["Tester(IsSemigroupCongruence)"],"aka" : ["HasIsSemigroupCongruence"]},{"name" : "Tester(IsReesCongruence)","type" : "GAP_TrueProperty","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"implied" : ["Tester(IsReesCongruence)"],"aka" : ["HasIsReesCongruence"]},{"name" : "Tester(IsGeneratorsOfSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsGeneratorsOfSemigroup)"],"aka" : ["HasIsGeneratorsOfSemigroup"]},{"name" : "Tester(IsZeroGroup)","type" : "GAP_TrueProperty","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsZeroGroup)"],"aka" : ["HasIsZeroGroup"]},{"name" : "Tester(IsSimpleSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsSimpleSemigroup)"],"aka" : ["HasIsSimpleSemigroup"]},{"name" : "Tester(IsZeroSimpleSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsZeroSimpleSemigroup)"],"aka" : ["HasIsZeroSimpleSemigroup"]},{"name" : "Tester(IsReesCongruenceSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsReesCongruenceSemigroup)"],"aka" : ["HasIsReesCongruenceSemigroup"]},{"name" : "Tester(IsRegularSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsRegularSemigroup)"],"aka" : ["HasIsRegularSemigroup"]},{"name" : "Tester(IsInverseSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsInverseSemigroup)"],"aka" : ["HasIsInverseSemigroup"]},{"name" : "Tester(IsBand)","type" : "GAP_TrueProperty","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsBand)"],"aka" : ["HasIsBand"]},{"name" : "Tester(IsBrandtSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsBrandtSemigroup)"],"aka" : ["HasIsBrandtSemigroup"]},{"name" : "Tester(IsCliffordSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsCliffordSemigroup)"],"aka" : ["HasIsCliffordSemigroup"]},{"name" : "Tester(IsCommutativeSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsCommutativeSemigroup)"],"aka" : ["HasIsCommutativeSemigroup"]},{"name" : "Tester(IsCompletelyRegularSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsCompletelyRegularSemigroup)"],"aka" : ["HasIsCompletelyRegularSemigroup"]},{"name" : "Tester(IsCompletelySimpleSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsCompletelySimpleSemigroup)"],"aka" : ["HasIsCompletelySimpleSemigroup"]},{"name" : "Tester(IsGroupAsSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsGroupAsSemigroup)"],"aka" : ["HasIsGroupAsSemigroup"]},{"name" : "Tester(IsIdempotentGenerated)","type" : "GAP_TrueProperty","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsIdempotentGenerated)"],"aka" : ["HasIsIdempotentGenerated"]},{"name" : "Tester(IsLeftZeroSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsLeftZeroSemigroup)"],"aka" : ["HasIsLeftZeroSemigroup"]},{"name" : "Tester(IsMonogenicSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsMonogenicSemigroup)"],"aka" : ["HasIsMonogenicSemigroup"]},{"name" : "Tester(IsMonoidAsSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsMonoidAsSemigroup)"],"aka" : ["HasIsMonoidAsSemigroup"]},{"name" : "Tester(IsNilpotentSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsNilpotentSemigroup)"],"aka" : ["HasIsNilpotentSemigroup"]},{"name" : "Tester(IsOrthodoxSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsOrthodoxSemigroup)"],"aka" : ["HasIsOrthodoxSemigroup"]},{"name" : "Tester(IsRectangularBand)","type" : "GAP_TrueProperty","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsRectangularBand)"],"aka" : ["HasIsRectangularBand"]},{"name" : "Tester(IsRightZeroSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsRightZeroSemigroup)"],"aka" : ["HasIsRightZeroSemigroup"]},{"name" : "Tester(IsSemiband)","type" : "GAP_TrueProperty","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsSemiband)"],"aka" : ["HasIsSemiband"]},{"name" : "Tester(IsSemilattice)","type" : "GAP_TrueProperty","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsSemilattice)"],"aka" : ["HasIsSemilattice","HasIsSemilatticeAsSemigroup"]},{"name" : "Tester(IsZeroSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"implied" : ["Tester(IsZeroSemigroup)"],"aka" : ["HasIsZeroSemigroup"]},{"name" : "Tester(IsLeftSemigroupIdeal)","type" : "GAP_TrueProperty","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"implied" : ["Tester(IsLeftSemigroupIdeal)"],"aka" : ["HasIsLeftSemigroupIdeal"]},{"name" : "Tester(IsRightSemigroupIdeal)","type" : "GAP_TrueProperty","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"implied" : ["Tester(IsRightSemigroupIdeal)"],"aka" : ["HasIsRightSemigroupIdeal"]},{"name" : "Tester(IsSemigroupIdeal)","type" : "GAP_TrueProperty","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"implied" : ["Tester(IsSemigroupIdeal)"],"aka" : ["HasIsSemigroupIdeal"]},{"name" : "Tester(IsCyclic)","type" : "GAP_TrueProperty","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsCyclic)"],"aka" : ["HasIsCyclic"]},{"name" : "Tester(IsElementaryAbelian)","type" : "GAP_TrueProperty","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsElementaryAbelian)"],"aka" : ["HasIsElementaryAbelian"]},{"name" : "Tester(IsFinitelyGeneratedGroup)","type" : "GAP_TrueProperty","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsFinitelyGeneratedGroup)"],"aka" : ["HasIsFinitelyGeneratedGroup"]},{"name" : "Tester(IsSubsetLocallyFiniteGroup)","type" : "GAP_TrueProperty","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsSubsetLocallyFiniteGroup)"],"aka" : ["HasIsSubsetLocallyFiniteGroup"]},{"name" : "CanEasilyTestMembership","type" : "GAP_Filter","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["CanEasilyTestMembership"],"aka" : ["CanEasilyTestMembership"]},{"name" : "CanEasilyComputeWithIndependentGensAbelianGroup","type" : "GAP_Filter","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["CanEasilyComputeWithIndependentGensAbelianGroup"],"aka" : ["CanEasilyComputeWithIndependentGensAbelianGroup"]},{"name" : "CanComputeSizeAnySubgroup","type" : "GAP_Filter","location" : {"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["CanComputeSize","CanComputeSizeAnySubgroup"],"aka" : ["CanComputeSizeAnySubgroup"]},{"name" : "Tester(KnowsHowToDecompose)","type" : "GAP_TrueProperty","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(KnowsHowToDecompose)"],"aka" : ["HasKnowsHowToDecompose"]},{"name" : "Tester(IsPGroup)","type" : "GAP_TrueProperty","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsPGroup)"],"aka" : ["HasIsPGroup"]},{"name" : "Tester(IsNilpotentGroup)","type" : "GAP_TrueProperty","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsNilpotentGroup)"],"aka" : ["HasIsNilpotentGroup"]},{"name" : "Tester(IsPerfectGroup)","type" : "GAP_TrueProperty","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsPerfectGroup)"],"aka" : ["HasIsPerfectGroup"]},{"name" : "Tester(IsSporadicSimpleGroup)","type" : "GAP_TrueProperty","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsSporadicSimpleGroup)"],"aka" : ["HasIsSporadicSimpleGroup"]},{"name" : "Tester(IsSimpleGroup)","type" : "GAP_TrueProperty","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsSimpleGroup)"],"aka" : ["HasIsSimpleGroup"]},{"name" : "Tester(IsAlmostSimpleGroup)","type" : "GAP_TrueProperty","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsAlmostSimpleGroup)"],"aka" : ["HasIsAlmostSimpleGroup"]},{"name" : "Tester(IsSupersolvableGroup)","type" : "GAP_TrueProperty","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsSupersolvableGroup)"],"aka" : ["HasIsSupersolvableGroup"]},{"name" : "Tester(IsMonomialGroup)","type" : "GAP_TrueProperty","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsMonomialGroup)"],"aka" : ["HasIsMonomialGroup"]},{"name" : "Tester(IsSolvableGroup)","type" : "GAP_TrueProperty","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsSolvableGroup)"],"aka" : ["HasIsSolvableGroup"]},{"name" : "Tester(IsPolycyclicGroup)","type" : "GAP_TrueProperty","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsPolycyclicGroup)"],"aka" : ["HasIsPolycyclicGroup"]},{"name" : "Tester(IsNormalInParent)","type" : "GAP_TrueProperty","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["Tester(IsNormalInParent)"],"aka" : ["HasIsNormalInParent"]},{"name" : "IsRightTransversal","type" : "GAP_Category","location" : {"line" : 3617,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsRightTransversal"],"aka" : ["IsRightTransversal"]},{"name" : "CategoryCollections(IsRightTransversal)","type" : "GAP_Category","location" : {"line" : 3618,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["IsListOrCollection","IsCollection","CategoryCollections(IsRightTransversal)"],"aka" : ["IsRightTransversalCollection"]},{"name" : "IsGroupOfFamily","type" : "GAP_Filter","location" : {"line" : 4363,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"implied" : ["IsGroupOfFamily"],"aka" : ["IsGroupOfFamily"]},{"name" : "Tester(IsGeneratorsOfInverseSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"implied" : ["Tester(IsGeneratorsOfInverseSemigroup)"],"aka" : ["HasIsGeneratorsOfInverseSemigroup"]},{"name" : "IsNearAdditiveMagma","type" : "GAP_Category","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","IsGeneralizedDomain","IsNearAdditiveMagma"],"aka" : ["IsNearAdditiveMagma"]},{"name" : "IsNearAdditiveMagmaWithZero","type" : "GAP_Category","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","IsGeneralizedDomain","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero"],"aka" : ["IsNearAdditiveMagmaWithZero"]},{"name" : "IsNearAdditiveGroup","type" : "GAP_Category","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","IsGeneralizedDomain","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup"],"aka" : ["IsNearAdditiveGroup","IsNearAdditiveMagmaWithInverses"]},{"name" : "Tester(IsAdditivelyCommutative)","type" : "GAP_TrueProperty","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"implied" : ["Tester(IsAdditivelyCommutative)"],"aka" : ["HasIsAdditivelyCommutative"]},{"name" : "IsAdditiveCoset","type" : "GAP_Category","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsAssociativeAOpESum","IsTrivialAOpEZero","IsAdditiveCoset"],"aka" : ["IsAdditiveCoset"]},{"name" : "Tester(IsLDistributive)","type" : "GAP_TrueProperty","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"implied" : ["Tester(IsLDistributive)"],"aka" : ["HasIsLDistributive"]},{"name" : "Tester(IsRDistributive)","type" : "GAP_TrueProperty","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"implied" : ["Tester(IsRDistributive)"],"aka" : ["HasIsRDistributive"]},{"name" : "IsUniqueFactorizationRing","type" : "GAP_Category","location" : {"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing"],"aka" : ["IsUniqueFactorizationRing"]},{"name" : "IsEuclideanRing","type" : "GAP_Category","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing"],"aka" : ["IsEuclideanRing"]},{"name" : "Tester(IsAnticommutative)","type" : "GAP_TrueProperty","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["Tester(IsAnticommutative)"],"aka" : ["HasIsAnticommutative"]},{"name" : "Tester(IsIntegralRing)","type" : "GAP_TrueProperty","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["Tester(IsIntegralRing)"],"aka" : ["HasIsIntegralRing"]},{"name" : "Tester(IsJacobianRing)","type" : "GAP_TrueProperty","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["Tester(IsJacobianRing)"],"aka" : ["HasIsJacobianRing"]},{"name" : "Tester(IsZeroSquaredRing)","type" : "GAP_TrueProperty","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["Tester(IsZeroSquaredRing)"],"aka" : ["HasIsZeroSquaredRing"]},{"name" : "Tester(IsZeroMultiplicationRing)","type" : "GAP_TrueProperty","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"implied" : ["Tester(IsZeroMultiplicationRing)"],"aka" : ["HasIsZeroMultiplicationRing"]},{"name" : "Tester(IsGeneralizedCartanMatrix)","type" : "GAP_TrueProperty","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"implied" : ["Tester(IsGeneralizedCartanMatrix)"],"aka" : ["HasIsGeneralizedCartanMatrix"]},{"name" : "Tester(IsMonomialMatrix)","type" : "GAP_TrueProperty","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"implied" : ["Tester(IsMonomialMatrix)"],"aka" : ["HasIsMonomialMatrix"]},{"name" : "Tester(IsTwoSidedIdealInParent)","type" : "GAP_TrueProperty","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"implied" : ["Tester(IsTwoSidedIdealInParent)"],"aka" : ["HasIsIdealInParent","HasIsTwoSidedIdealInParent"]},{"name" : "Tester(IsLeftIdealInParent)","type" : "GAP_TrueProperty","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"implied" : ["Tester(IsLeftIdealInParent)"],"aka" : ["HasIsLeftIdealInParent"]},{"name" : "Tester(IsRightIdealInParent)","type" : "GAP_TrueProperty","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"implied" : ["Tester(IsRightIdealInParent)"],"aka" : ["HasIsRightIdealInParent"]},{"name" : "IsFreeLeftModule","type" : "GAP_Category","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule"],"aka" : ["IsFreeLeftModule"]},{"name" : "Tester(IsFiniteDimensional)","type" : "GAP_TrueProperty","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["Tester(IsFiniteDimensional)"],"aka" : ["HasIsFiniteDimensional"]},{"name" : "Tester(IsFullRowModule)","type" : "GAP_TrueProperty","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["Tester(IsFullRowModule)"],"aka" : ["HasIsFullRowModule"]},{"name" : "Tester(IsFullMatrixModule)","type" : "GAP_TrueProperty","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["Tester(IsFullMatrixModule)"],"aka" : ["HasIsFullMatrixModule"]},{"name" : "IsHandledByNiceBasis","type" : "GAP_Category","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis"],"aka" : ["IsHandledByNiceBasis"]},{"name" : "Tester(IsRowModule)","type" : "GAP_TrueProperty","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["Tester(IsRowModule)"],"aka" : ["HasIsRowModule"]},{"name" : "Tester(IsMatrixModule)","type" : "GAP_TrueProperty","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"implied" : ["Tester(IsMatrixModule)"],"aka" : ["HasIsMatrixModule"]},{"name" : "IsBasis","type" : "GAP_Category","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis"],"aka" : ["IsBasis"]},{"name" : "Tester(IsCanonicalBasis)","type" : "GAP_TrueProperty","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsCanonicalBasis)"],"aka" : ["HasIsCanonicalBasis"]},{"name" : "Tester(IsCanonicalBasisFullRowModule)","type" : "GAP_TrueProperty","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsCanonicalBasisFullRowModule)"],"aka" : ["HasIsCanonicalBasisFullRowModule"]},{"name" : "Tester(IsCanonicalBasisFullMatrixModule)","type" : "GAP_TrueProperty","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsCanonicalBasisFullMatrixModule)"],"aka" : ["HasIsCanonicalBasisFullMatrixModule"]},{"name" : "Tester(IsIntegralBasis)","type" : "GAP_TrueProperty","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsIntegralBasis)"],"aka" : ["HasIsIntegralBasis"]},{"name" : "Tester(IsNormalBasis)","type" : "GAP_TrueProperty","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsNormalBasis)"],"aka" : ["HasIsNormalBasis"]},{"name" : "Tester(IsSemiEchelonized)","type" : "GAP_TrueProperty","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["Tester(IsSemiEchelonized)"],"aka" : ["HasIsSemiEchelonized"]},{"name" : "IsGenericFiniteSpace","type" : "GAP_Filter","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsGenericFiniteSpace"],"aka" : ["IsGenericFiniteSpace"]},{"name" : "IsSpaceOfRationalFunctions","type" : "GAP_Filter","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsSpaceOfRationalFunctions"],"aka" : ["IsSpaceOfRationalFunctions"]},{"name" : "IsBasisByNiceBasis","type" : "GAP_Category","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsFinite","Tester(IsFinite)","IsSmallList","Tester(IsSmallList)","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsBasisByNiceBasis"],"aka" : ["IsBasisByNiceBasis"]},{"name" : "IsMutableBasis","type" : "GAP_Category","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"},"implied" : ["IsMutableBasis"],"aka" : ["IsMutableBasis"]},{"name" : "IsGaussianSpace","type" : "GAP_Filter","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsGaussianSpace"],"aka" : ["IsGaussianSpace"]},{"name" : "IsNonGaussianRowSpace","type" : "GAP_Filter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsNonGaussianRowSpace"],"aka" : ["IsNonGaussianRowSpace"]},{"name" : "IsNonGaussianMatrixSpace","type" : "GAP_Filter","location" : {"line" : 382,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsNonGaussianMatrixSpace"],"aka" : ["IsNonGaussianMatrixSpace"]},{"name" : "IsSubspacesVectorSpace","type" : "GAP_Category","location" : {"line" : 718,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsSubspacesVectorSpace"],"aka" : ["IsSubspacesVectorSpace"]},{"name" : "Tester(IsVectorSpaceHomomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"implied" : ["Tester(IsVectorSpaceHomomorphism)"],"aka" : ["HasIsVectorSpaceHomomorphism"]},{"name" : "Tester(IsFullHomModule)","type" : "GAP_TrueProperty","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"implied" : ["Tester(IsFullHomModule)"],"aka" : ["HasIsFullHomModule"]},{"name" : "Tester(IsPseudoCanonicalBasisFullHomModule)","type" : "GAP_TrueProperty","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"implied" : ["Tester(IsPseudoCanonicalBasisFullHomModule)"],"aka" : ["HasIsPseudoCanonicalBasisFullHomModule"]},{"name" : "IsLinearMappingsModule","type" : "GAP_Filter","location" : {"line" : 359,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)","IsHandledByNiceBasis","IsLinearMappingsModule"],"aka" : ["IsLinearMappingsModule"]},{"name" : "Tester(IsSimpleAlgebra)","type" : "GAP_TrueProperty","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"implied" : ["Tester(IsSimpleAlgebra)"],"aka" : ["HasIsSimpleAlgebra"]},{"name" : "IsQuaternion","type" : "GAP_Category","location" : {"line" : 1756,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociative","Tester(IsAssociative)","IsQuaternion"],"aka" : ["IsQuaternion"]},{"name" : "CategoryCollections(IsQuaternion)","type" : "GAP_Category","location" : {"line" : 1757,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsQuaternion)"],"aka" : ["IsQuaternionCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsQuaternion))","type" : "GAP_Category","location" : {"line" : 1758,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsQuaternion))"],"aka" : ["IsQuaternionCollColl"]},{"name" : "IsElementOfMagmaRingModuloRelations","type" : "GAP_Category","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsElementOfMagmaRingModuloRelations"],"aka" : ["IsElementOfMagmaRingModuloRelations"]},{"name" : "CategoryCollections(IsElementOfMagmaRingModuloRelations)","type" : "GAP_Category","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsElementOfMagmaRingModuloRelations)"],"aka" : ["IsElementOfMagmaRingModuloRelationsCollection"]},{"name" : "CategoryFamily(IsElementOfMagmaRingModuloRelations)","type" : "GAP_Category","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)"],"aka" : ["IsElementOfMagmaRingModuloRelationsFamily"]},{"name" : "IsElementOfFreeMagmaRing","type" : "GAP_Category","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsElementOfMagmaRingModuloRelations","IsElementOfFreeMagmaRing"],"aka" : ["IsElementOfFreeMagmaRing"]},{"name" : "CategoryCollections(IsElementOfFreeMagmaRing)","type" : "GAP_Category","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsElementOfMagmaRingModuloRelations)","CategoryCollections(IsElementOfFreeMagmaRing)"],"aka" : ["IsElementOfFreeMagmaRingCollection"]},{"name" : "CategoryFamily(IsElementOfFreeMagmaRing)","type" : "GAP_Category","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)","CategoryFamily(IsElementOfFreeMagmaRing)"],"aka" : ["IsElementOfFreeMagmaRingFamily"]},{"name" : "IsMagmaRingModuloRelations","type" : "GAP_Category","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMagmaRingModuloRelations"],"aka" : ["IsMagmaRingModuloRelations"]},{"name" : "IsFreeMagmaRing","type" : "GAP_Category","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMagmaRingModuloRelations","IsFreeMagmaRing"],"aka" : ["IsFreeMagmaRing"]},{"name" : "Tester(IsGroupRing)","type" : "GAP_TrueProperty","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["Tester(IsGroupRing)"],"aka" : ["HasIsGroupRing"]},{"name" : "IsMagmaRingModuloSpanOfZero","type" : "GAP_Category","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMagmaRingModuloRelations","IsMagmaRingModuloSpanOfZero"],"aka" : ["IsMagmaRingModuloSpanOfZero"]},{"name" : "IsElementOfMagmaRingModuloSpanOfZeroFamily","type" : "GAP_Category","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)","IsElementOfMagmaRingModuloSpanOfZeroFamily"],"aka" : ["IsElementOfMagmaRingModuloSpanOfZeroFamily"]},{"name" : "IsSpaceOfElementsOfMagmaRing","type" : "GAP_Filter","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsSpaceOfElementsOfMagmaRing"],"aka" : ["IsSpaceOfElementsOfMagmaRing"]},{"name" : "IsElementOfFpAlgebra","type" : "GAP_Category","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsElementOfFpAlgebra"],"aka" : ["IsElementOfFpAlgebra"]},{"name" : "CategoryCollections(IsElementOfFpAlgebra)","type" : "GAP_Category","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsElementOfFpAlgebra)"],"aka" : ["IsElementOfFpAlgebraCollection"]},{"name" : "CategoryFamily(IsElementOfFpAlgebra)","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfFpAlgebra)"],"aka" : ["IsElementOfFpAlgebraFamily"]},{"name" : "IsSubalgebraFpAlgebra","type" : "GAP_Category","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsSubalgebraFpAlgebra"],"aka" : ["IsSubalgebraFpAlgebra"]},{"name" : "Tester(IsFullFpAlgebra)","type" : "GAP_TrueProperty","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["Tester(IsFullFpAlgebra)"],"aka" : ["HasIsFullFpAlgebra"]},{"name" : "Tester(IsNormalForm)","type" : "GAP_TrueProperty","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["Tester(IsNormalForm)"],"aka" : ["HasIsNormalForm"]},{"name" : "IsFpAlgebraElementsSpace","type" : "GAP_Filter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsFpAlgebraElementsSpace"],"aka" : ["IsFpAlgebraElementsSpace"]},{"name" : "Tester(IsLieAbelian)","type" : "GAP_TrueProperty","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["Tester(IsLieAbelian)"],"aka" : ["HasIsLieAbelian"]},{"name" : "Tester(IsLieNilpotent)","type" : "GAP_TrueProperty","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["Tester(IsLieNilpotent)"],"aka" : ["HasIsLieNilpotent"]},{"name" : "Tester(IsRestrictedLieAlgebra)","type" : "GAP_TrueProperty","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["Tester(IsRestrictedLieAlgebra)"],"aka" : ["HasIsRestrictedLieAlgebra"]},{"name" : "Tester(IsLieSolvable)","type" : "GAP_TrueProperty","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["Tester(IsLieSolvable)"],"aka" : ["HasIsLieSolvable"]},{"name" : "IsRootSystem","type" : "GAP_Category","location" : {"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["IsRootSystem"],"aka" : ["IsRootSystem"]},{"name" : "IsRootSystemFromLieAlgebra","type" : "GAP_Category","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["IsRootSystem","IsRootSystemFromLieAlgebra"],"aka" : ["IsRootSystemFromLieAlgebra"]},{"name" : "IsFamilyElementOfFreeLieAlgebra","type" : "GAP_Category","location" : {"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)","IsFamilyElementOfFreeLieAlgebra"],"aka" : ["IsFamilyElementOfFreeLieAlgebra"]},{"name" : "IsFptoSCAMorphism","type" : "GAP_Category","location" : {"line" : 1304,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsFptoSCAMorphism"],"aka" : ["IsFptoSCAMorphism"]},{"name" : "IsFamilyOverFullCoefficientsFamily","type" : "GAP_Category","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsFamily","IsFamilyOverFullCoefficientsFamily"],"aka" : ["IsFamilyOverFullCoefficientsFamily"]},{"name" : "IsSCAlgebraObj","type" : "GAP_Category","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsSCAlgebraObj"],"aka" : ["IsSCAlgebraObj"]},{"name" : "CategoryCollections(IsSCAlgebraObj)","type" : "GAP_Category","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsSCAlgebraObj)"],"aka" : ["IsSCAlgebraObjCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsSCAlgebraObj))","type" : "GAP_Category","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsSCAlgebraObj))"],"aka" : ["IsSCAlgebraObjCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsSCAlgebraObj)))","type" : "GAP_Category","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsSCAlgebraObj)))"],"aka" : ["IsSCAlgebraObjCollCollColl"]},{"name" : "CategoryFamily(IsSCAlgebraObj)","type" : "GAP_Category","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsSCAlgebraObj)"],"aka" : ["IsSCAlgebraObjFamily"]},{"name" : "Tester(IsFullSCAlgebra)","type" : "GAP_TrueProperty","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["Tester(IsFullSCAlgebra)"],"aka" : ["HasIsFullSCAlgebra"]},{"name" : "Tester(IsCanonicalBasisFullSCAlgebra)","type" : "GAP_TrueProperty","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["Tester(IsCanonicalBasisFullSCAlgebra)"],"aka" : ["HasIsCanonicalBasisFullSCAlgebra"]},{"name" : "IsSCAlgebraObjSpace","type" : "GAP_Filter","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsSCAlgebraObjSpace"],"aka" : ["IsSCAlgebraObjSpace"]},{"name" : "IsLieObject","type" : "GAP_Category","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsJacobianElement","IsZeroSquaredElement","IsLieObject"],"aka" : ["IsLieObject"]},{"name" : "CategoryCollections(IsLieObject)","type" : "GAP_Category","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)","CategoryCollections(IsZeroSquaredElement)","CategoryCollections(IsLieObject)"],"aka" : ["IsLieObjectCollection"]},{"name" : "CategoryCollections((IsLieObject and IsRestrictedJacobianElement))","type" : "GAP_Category","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)","CategoryCollections(IsRestrictedJacobianElement)","CategoryCollections(IsZeroSquaredElement)","CategoryCollections(IsLieObject)","CategoryCollections((IsLieObject and IsRestrictedJacobianElement))"],"aka" : ["IsRestrictedLieObjectCollection"]},{"name" : "IsLieObjectsModule","type" : "GAP_Filter","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsLieObjectsModule"],"aka" : ["IsLieObjectsModule"]},{"name" : "IsAlgebraModuleElement","type" : "GAP_Category","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsAlgebraModuleElement"],"aka" : ["IsAlgebraModuleElement"]},{"name" : "CategoryCollections(IsAlgebraModuleElement)","type" : "GAP_Category","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleElement)"],"aka" : ["IsAlgebraModuleElementCollection"]},{"name" : "CategoryFamily(IsAlgebraModuleElement)","type" : "GAP_Category","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsFamily","CategoryFamily(IsAlgebraModuleElement)"],"aka" : ["IsAlgebraModuleElementFamily"]},{"name" : "IsLeftAlgebraModuleElement","type" : "GAP_Category","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsAlgebraModuleElement","IsLeftAlgebraModuleElement"],"aka" : ["IsLeftAlgebraModuleElement"]},{"name" : "CategoryCollections(IsLeftAlgebraModuleElement)","type" : "GAP_Category","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleElement)","CategoryCollections(IsLeftAlgebraModuleElement)"],"aka" : ["IsLeftAlgebraModuleElementCollection"]},{"name" : "IsRightAlgebraModuleElement","type" : "GAP_Category","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsAlgebraModuleElement","IsRightAlgebraModuleElement"],"aka" : ["IsRightAlgebraModuleElement"]},{"name" : "CategoryCollections(IsRightAlgebraModuleElement)","type" : "GAP_Category","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleElement)","CategoryCollections(IsRightAlgebraModuleElement)"],"aka" : ["IsRightAlgebraModuleElementCollection"]},{"name" : "Tester(IsAlgebraModule)","type" : "GAP_TrueProperty","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["Tester(IsAlgebraModule)"],"aka" : ["HasIsAlgebraModule"]},{"name" : "Tester(IsLeftAlgebraModule)","type" : "GAP_TrueProperty","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["Tester(IsLeftAlgebraModule)"],"aka" : ["HasIsLeftAlgebraModule"]},{"name" : "Tester(IsRightAlgebraModule)","type" : "GAP_TrueProperty","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["Tester(IsRightAlgebraModule)"],"aka" : ["HasIsRightAlgebraModule"]},{"name" : "IsBasisOfAlgebraModuleElementSpace","type" : "GAP_Category","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsBasisOfAlgebraModuleElementSpace"],"aka" : ["IsBasisOfAlgebraModuleElementSpace"]},{"name" : "IsMonomialElement","type" : "GAP_Category","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMonomialElement"],"aka" : ["IsMonomialElement"]},{"name" : "CategoryCollections(IsMonomialElement)","type" : "GAP_Category","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMonomialElement)"],"aka" : ["IsMonomialElementCollection"]},{"name" : "CategoryFamily(IsMonomialElement)","type" : "GAP_Category","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsFamily","CategoryFamily(IsMonomialElement)"],"aka" : ["IsMonomialElementFamily"]},{"name" : "IsTensorElement","type" : "GAP_Category","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMonomialElement","IsTensorElement"],"aka" : ["IsTensorElement"]},{"name" : "CategoryCollections(IsTensorElement)","type" : "GAP_Category","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMonomialElement)","CategoryCollections(IsTensorElement)"],"aka" : ["IsTensorElementCollection"]},{"name" : "IsWedgeElement","type" : "GAP_Category","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMonomialElement","IsWedgeElement"],"aka" : ["IsWedgeElement"]},{"name" : "CategoryCollections(IsWedgeElement)","type" : "GAP_Category","location" : {"line" : 914,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMonomialElement)","CategoryCollections(IsWedgeElement)"],"aka" : ["IsWedgeElementCollection"]},{"name" : "IsSymmetricPowerElement","type" : "GAP_Category","location" : {"line" : 991,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMonomialElement","IsSymmetricPowerElement"],"aka" : ["IsSymmetricPowerElement"]},{"name" : "CategoryCollections(IsSymmetricPowerElement)","type" : "GAP_Category","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMonomialElement)","CategoryCollections(IsSymmetricPowerElement)"],"aka" : ["IsSymmetricPowerElementCollection"]},{"name" : "IsDirectSumElement","type" : "GAP_Category","location" : {"line" : 1054,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsDirectSumElement"],"aka" : ["IsDirectSumElement"]},{"name" : "CategoryCollections(IsDirectSumElement)","type" : "GAP_Category","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsDirectSumElement)"],"aka" : ["IsDirectSumElementCollection"]},{"name" : "CategoryFamily(IsDirectSumElement)","type" : "GAP_Category","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsFamily","CategoryFamily(IsDirectSumElement)"],"aka" : ["IsDirectSumElementFamily"]},{"name" : "IsSparseRowSpaceElement","type" : "GAP_Category","location" : {"line" : 1123,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsSparseRowSpaceElement"],"aka" : ["IsSparseRowSpaceElement"]},{"name" : "CategoryCollections(IsSparseRowSpaceElement)","type" : "GAP_Category","location" : {"line" : 1124,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsSparseRowSpaceElement)"],"aka" : ["IsSparseRowSpaceElementCollection"]},{"name" : "CategoryFamily(IsSparseRowSpaceElement)","type" : "GAP_Category","location" : {"line" : 1125,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsFamily","CategoryFamily(IsSparseRowSpaceElement)"],"aka" : ["IsSparseRowSpaceElementFamily"]},{"name" : "IsDirectSumElementsSpace","type" : "GAP_Filter","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsDirectSumElementsSpace"],"aka" : ["IsDirectSumElementsSpace"]},{"name" : "IsCochain","type" : "GAP_Category","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsCochain"],"aka" : ["IsCochain"]},{"name" : "CategoryCollections(IsCochain)","type" : "GAP_Category","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsCochain)"],"aka" : ["IsCochainCollection"]},{"name" : "Tester(IsWeylGroup)","type" : "GAP_TrueProperty","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["Tester(IsWeylGroup)"],"aka" : ["HasIsWeylGroup"]},{"name" : "IsUEALatticeElement","type" : "GAP_Category","location" : {"line" : 676,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsUEALatticeElement"],"aka" : ["IsUEALatticeElement"]},{"name" : "CategoryCollections(IsUEALatticeElement)","type" : "GAP_Category","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsUEALatticeElement)"],"aka" : ["IsUEALatticeElementCollection"]},{"name" : "CategoryFamily(IsUEALatticeElement)","type" : "GAP_Category","location" : {"line" : 678,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsUEALatticeElement)"],"aka" : ["IsUEALatticeElementFamily"]},{"name" : "IsWeightRepElement","type" : "GAP_Category","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsWeightRepElement"],"aka" : ["IsWeightRepElement"]},{"name" : "CategoryCollections(IsWeightRepElement)","type" : "GAP_Category","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsWeightRepElement)"],"aka" : ["IsWeightRepElementCollection"]},{"name" : "CategoryFamily(IsWeightRepElement)","type" : "GAP_Category","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsFamily","CategoryFamily(IsWeightRepElement)"],"aka" : ["IsWeightRepElementFamily"]},{"name" : "IsBasisOfWeightRepElementSpace","type" : "GAP_Category","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsBasisOfWeightRepElementSpace"],"aka" : ["IsBasisOfWeightRepElementSpace"]},{"name" : "IsCochainsSpace","type" : "GAP_Filter","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsCochainsSpace"],"aka" : ["IsCochainsSpace"]},{"name" : "IsSearchTable","type" : "GAP_Category","location" : {"line" : 944,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsSearchTable"],"aka" : ["IsSearchTable"]},{"name" : "IsVectorSearchTable","type" : "GAP_Category","location" : {"line" : 996,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"implied" : ["IsSearchTable","IsVectorSearchTable"],"aka" : ["IsVectorSearchTable"]},{"name" : "IsIntegers","type" : "GAP_Category","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsFreeLeftModule","IsIntegers"],"aka" : ["IsIntegers"]},{"name" : "IsPositiveIntegers","type" : "GAP_Category","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPositiveIntegers"],"aka" : ["IsPositiveIntegers"]},{"name" : "IsNonnegativeIntegers","type" : "GAP_Category","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsNonnegativeIntegers"],"aka" : ["IsNonnegativeIntegers"]},{"name" : "IsGaussianIntegers","type" : "GAP_Category","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)","IsGaussianIntegers"],"aka" : ["IsGaussianIntegers"]},{"name" : "IsSCRingObj","type" : "GAP_Category","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsSCRingObj"],"aka" : ["IsSCRingObj"]},{"name" : "CategoryCollections(IsSCRingObj)","type" : "GAP_Category","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsSCRingObj)"],"aka" : ["IsSCRingObjCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsSCRingObj))","type" : "GAP_Category","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsSCRingObj))"],"aka" : ["IsSCRingObjCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsSCRingObj)))","type" : "GAP_Category","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsSCRingObj)))"],"aka" : ["IsSCRingObjCollCollColl"]},{"name" : "CategoryFamily(IsSCRingObj)","type" : "GAP_Category","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsSCRingObj)"],"aka" : ["IsSCRingObjFamily"]},{"name" : "IsPolynomialFunction","type" : "GAP_Category","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction"],"aka" : ["IsPolynomialFunction"]},{"name" : "IsRationalFunction","type" : "GAP_Category","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction"],"aka" : ["IsRationalFunction"]},{"name" : "CategoryCollections(IsPolynomialFunction)","type" : "GAP_Category","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsPolynomialFunction)"],"aka" : ["IsPolynomialFunctionCollection"]},{"name" : "CategoryCollections(IsRationalFunction)","type" : "GAP_Category","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsPolynomialFunction)","CategoryCollections(IsRationalFunction)"],"aka" : ["IsRationalFunctionCollection"]},{"name" : "IsPolynomialFunctionsFamilyElement","type" : "GAP_Category","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsPolynomialFunctionsFamilyElement"],"aka" : ["IsPolynomialFunctionsFamilyElement"]},{"name" : "IsRationalFunctionsFamilyElement","type" : "GAP_Category","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsPolynomialFunctionsFamilyElement","IsRationalFunctionsFamilyElement"],"aka" : ["IsRationalFunctionsFamilyElement"]},{"name" : "IsPolynomialFunctionsFamily","type" : "GAP_Category","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsFamily","IsPolynomialFunctionsFamily"],"aka" : ["IsPolynomialFunctionsFamily"]},{"name" : "IsRationalFunctionsFamily","type" : "GAP_Category","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsFamily","IsUFDFamily","Tester(IsUFDFamily)","IsPolynomialFunctionsFamily","IsRationalFunctionsFamily"],"aka" : ["IsRationalFunctionsFamily"]},{"name" : "IsRationalFunctionOverField","type" : "GAP_Category","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsRationalFunctionOverField"],"aka" : ["IsRationalFunctionOverField"]},{"name" : "Tester(IsPolynomial)","type" : "GAP_TrueProperty","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["Tester(IsPolynomial)"],"aka" : ["HasIsPolynomial"]},{"name" : "Tester(IsUnivariateRationalFunction)","type" : "GAP_TrueProperty","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["Tester(IsUnivariateRationalFunction)"],"aka" : ["HasIsUnivariateRationalFunction"]},{"name" : "Tester(IsLaurentPolynomial)","type" : "GAP_TrueProperty","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["Tester(IsLaurentPolynomial)"],"aka" : ["HasIsLaurentPolynomial"]},{"name" : "Tester(IsConstantRationalFunction)","type" : "GAP_TrueProperty","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["Tester(IsConstantRationalFunction)"],"aka" : ["HasIsConstantRationalFunction"]},{"name" : "IsRationalFunctionDefaultRep","type" : "GAP_Representation","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsRationalFunctionDefaultRep"],"aka" : ["IsRationalFunctionDefaultRep"]},{"name" : "IsPolynomialDefaultRep","type" : "GAP_Representation","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)","IsPolynomialDefaultRep"],"aka" : ["IsPolynomialDefaultRep"]},{"name" : "IsLaurentPolynomialDefaultRep","type" : "GAP_Representation","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)","IsLaurentPolynomialDefaultRep"],"aka" : ["IsLaurentPolynomialDefaultRep"]},{"name" : "IsUnivariateRationalFunctionDefaultRep","type" : "GAP_Representation","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsUnivariateRationalFunctionDefaultRep"],"aka" : ["IsUnivariateRationalFunctionDefaultRep"]},{"name" : "IsLaurentPolynomialsFamilyElement","type" : "GAP_Category","location" : {"line" : 1692,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsLaurentPolynomialsFamilyElement"],"aka" : ["IsLaurentPolynomialsFamilyElement"]},{"name" : "IsUnivariatePolynomialsFamilyElement","type" : "GAP_Category","location" : {"line" : 1707,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsUnivariatePolynomialsFamilyElement"],"aka" : ["IsUnivariatePolynomialsFamilyElement"]},{"name" : "IsLaurentPolynomialsFamily","type" : "GAP_Category","location" : {"line" : 1725,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsFamily","Tester(OneImmutable)","IsCommutativeFamily","Tester(IsCommutativeFamily)","IsLaurentPolynomialsFamily"],"aka" : ["IsLaurentPolynomialsFamily"]},{"name" : "IsUnivariatePolynomialsFamily","type" : "GAP_Category","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"implied" : ["IsFamily","IsUnivariatePolynomialsFamily"],"aka" : ["IsUnivariatePolynomialsFamily"]},{"name" : "Tester(IsPrimeField)","type" : "GAP_TrueProperty","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"implied" : ["Tester(IsPrimeField)"],"aka" : ["HasIsPrimeField"]},{"name" : "IsFieldControlledByGaloisGroup","type" : "GAP_Category","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"implied" : ["IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsFieldControlledByGaloisGroup"],"aka" : ["IsFieldControlledByGaloisGroup"]},{"name" : "IsFieldElementsSpace","type" : "GAP_Filter","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsFieldElementsSpace"],"aka" : ["IsFieldElementsSpace"]},{"name" : "IsZmodnZObj","type" : "GAP_Category","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsZmodnZObj"],"aka" : ["IsZmodnZObj"]},{"name" : "IsZmodnZObjNonprime","type" : "GAP_Category","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsZmodnZObj","IsZmodnZObjNonprime"],"aka" : ["IsZmodnZObjNonprime"]},{"name" : "CategoryFamily(IsZmodnZObjNonprime)","type" : "GAP_Category","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsAdditivelyCommutativeElement)","CategoryFamily(IsZmodnZObjNonprime)"],"aka" : ["IsZmodnZObjNonprimeFamily"]},{"name" : "CategoryCollections(IsZmodnZObjNonprime)","type" : "GAP_Category","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsZmodnZObjNonprime)"],"aka" : ["IsZmodnZObjNonprimeCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))","type" : "GAP_Category","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"],"aka" : ["IsZmodnZObjNonprimeCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsZmodnZObjNonprime)))","type" : "GAP_Category","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsZmodnZObjNonprime)))"],"aka" : ["IsZmodnZObjNonprimeCollCollColl"]},{"name" : "IsZmodnZepsObj","type" : "GAP_Category","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZmodnZepsObj"],"aka" : ["IsZmodnZepsObj"]},{"name" : "CategoryCollections(IsZmodnZepsObj)","type" : "GAP_Category","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZmodnZepsObj)"],"aka" : ["IsZmodnZepsObjCollection"]},{"name" : "IsZmodnZepsRep","type" : "GAP_Representation","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"implied" : ["IsPositionalObjectRep","IsZmodnZepsRep"],"aka" : ["IsZmodnZepsRep"]},{"name" : "Tester(IsNumberField)","type" : "GAP_TrueProperty","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"implied" : ["Tester(IsNumberField)"],"aka" : ["HasIsNumberField"]},{"name" : "Tester(IsAbelianNumberField)","type" : "GAP_TrueProperty","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"implied" : ["Tester(IsAbelianNumberField)"],"aka" : ["HasIsAbelianNumberField"]},{"name" : "Tester(IsCyclotomicField)","type" : "GAP_TrueProperty","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"implied" : ["Tester(IsCyclotomicField)"],"aka" : ["HasIsCyclotomicField"]},{"name" : "IsGaussianRationals","type" : "GAP_Category","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"implied" : ["IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneralizedDomain","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsGaussianRationals"],"aka" : ["IsGaussianRationals"]},{"name" : "IsPadicNumber","type" : "GAP_Category","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsCommutativeElement","IsPadicNumber"],"aka" : ["IsPadicNumber"]},{"name" : "CategoryCollections(IsPadicNumber)","type" : "GAP_Category","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsPadicNumber)"],"aka" : ["IsPadicNumberCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsPadicNumber))","type" : "GAP_Category","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCollections(IsPadicNumber))"],"aka" : ["IsPadicNumberCollColl"]},{"name" : "CategoryFamily(IsPadicNumber)","type" : "GAP_Category","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)"],"aka" : ["IsPadicNumberFamily"]},{"name" : "IsPurePadicNumber","type" : "GAP_Category","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsCommutativeElement","IsPadicNumber","IsPurePadicNumber"],"aka" : ["IsPurePadicNumber"]},{"name" : "CategoryFamily(IsPurePadicNumber)","type" : "GAP_Category","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)","CategoryFamily(IsPurePadicNumber)"],"aka" : ["IsPurePadicNumberFamily"]},{"name" : "IsPadicExtensionNumber","type" : "GAP_Category","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsCommutativeElement","IsPadicNumber","IsPadicExtensionNumber"],"aka" : ["IsPadicExtensionNumber"]},{"name" : "CategoryFamily(IsPadicExtensionNumber)","type" : "GAP_Category","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)","CategoryFamily(IsPadicExtensionNumber)"],"aka" : ["IsPadicExtensionNumberFamily"]},{"name" : "IsPolynomialRing","type" : "GAP_Category","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing"],"aka" : ["IsPolynomialRing"]},{"name" : "IsFunctionField","type" : "GAP_Category","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFunctionField"],"aka" : ["IsFunctionField"]},{"name" : "IsUnivariatePolynomialRing","type" : "GAP_Category","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsUnivariatePolynomialRing"],"aka" : ["IsUnivariatePolynomialRing"]},{"name" : "IsFiniteFieldPolynomialRing","type" : "GAP_Category","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsFiniteFieldPolynomialRing"],"aka" : ["IsFiniteFieldPolynomialRing"]},{"name" : "IsAbelianNumberFieldPolynomialRing","type" : "GAP_Category","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsAbelianNumberFieldPolynomialRing"],"aka" : ["IsAbelianNumberFieldPolynomialRing"]},{"name" : "IsAlgebraicExtensionPolynomialRing","type" : "GAP_Category","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsAlgebraicExtensionPolynomialRing"],"aka" : ["IsAlgebraicExtensionPolynomialRing"]},{"name" : "IsRationalsPolynomialRing","type" : "GAP_Category","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsAbelianNumberFieldPolynomialRing","IsRationalsPolynomialRing"],"aka" : ["IsRationalsPolynomialRing"]},{"name" : "IsAlgebraicElement","type" : "GAP_Category","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsAlgebraicElement"],"aka" : ["IsAlgebraicElement"]},{"name" : "CategoryCollections(IsAlgebraicElement)","type" : "GAP_Category","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsAlgebraicElement)"],"aka" : ["IsAlgebraicElementCollection"]},{"name" : "CategoryCollections(CategoryCollections(IsAlgebraicElement))","type" : "GAP_Category","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCollections(IsAlgebraicElement))"],"aka" : ["IsAlgebraicElementCollColl"]},{"name" : "CategoryCollections(CategoryCollections(CategoryCollections(IsAlgebraicElement)))","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAlgebraicElement)))"],"aka" : ["IsAlgebraicElementCollCollColl"]},{"name" : "CategoryFamily(IsAlgebraicElement)","type" : "GAP_Category","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsAdditivelyCommutativeElement)","CategoryFamily(IsAlgebraicElement)"],"aka" : ["IsAlgebraicElementFamily"]},{"name" : "IsAlgebraicExtension","type" : "GAP_Category","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"implied" : ["IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsAlgebraicExtension"],"aka" : ["IsAlgebraicExtension"]},{"name" : "IsUnknown","type" : "GAP_Category","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gd"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsUnknown"],"aka" : ["IsUnknown"]},{"name" : "IsWord","type" : "GAP_Category","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsWord"],"aka" : ["IsWord"]},{"name" : "CategoryCollections(IsWord)","type" : "GAP_Category","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsWord)"],"aka" : ["IsWordCollection"]},{"name" : "IsNonassocWord","type" : "GAP_Category","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsWord","IsNonassocWord"],"aka" : ["IsNonassocWord"]},{"name" : "CategoryCollections(IsNonassocWord)","type" : "GAP_Category","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsWord)","CategoryCollections(IsNonassocWord)"],"aka" : ["IsNonassocWordCollection"]},{"name" : "CategoryCollections((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))","type" : "GAP_Category","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsWord)","CategoryCollections(IsNonassocWord)","CategoryCollections((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))"],"aka" : ["IsNonassocWordWithOneCollection"]},{"name" : "CategoryFamily(IsNonassocWord)","type" : "GAP_Category","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsFamily","CategoryFamily(IsNonassocWord)"],"aka" : ["IsNonassocWordFamily"]},{"name" : "CategoryFamily((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))","type" : "GAP_Category","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"},"implied" : ["IsFamily","CategoryFamily(IsNonassocWord)","CategoryFamily((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))"],"aka" : ["IsNonassocWordWithOneFamily"]},{"name" : "CategoryCollections((IsWord and IsAssociativeElement))","type" : "GAP_Category","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWord)","CategoryCollections((IsWord and IsAssociativeElement))"],"aka" : ["IsAssocWordCollection"]},{"name" : "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","type" : "GAP_Category","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWord)","CategoryCollections((IsWord and IsAssociativeElement))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"],"aka" : ["IsAssocWordWithOneCollection"]},{"name" : "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","type" : "GAP_Category","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWord)","CategoryCollections((IsWord and IsAssociativeElement))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],"aka" : ["IsAssocWordWithInverseCollection"]},{"name" : "CategoryFamily((IsWord and IsAssociativeElement))","type" : "GAP_Category","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],"aka" : ["IsAssocWordFamily"]},{"name" : "CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","type" : "GAP_Category","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"],"aka" : ["IsAssocWordWithOneFamily"]},{"name" : "CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","type" : "GAP_Category","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],"aka" : ["IsAssocWordWithInverseFamily","IsElementOfFreeGroupFamily"]},{"name" : "IsSyllableWordsFamily","type" : "GAP_Category","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily"],"aka" : ["IsSyllableWordsFamily"]},{"name" : "Is8BitsFamily","type" : "GAP_Category","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","Is8BitsFamily"],"aka" : ["Is8BitsFamily"]},{"name" : "Is16BitsFamily","type" : "GAP_Category","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","Is16BitsFamily"],"aka" : ["Is16BitsFamily"]},{"name" : "Is32BitsFamily","type" : "GAP_Category","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","Is32BitsFamily"],"aka" : ["Is32BitsFamily"]},{"name" : "IsInfBitsFamily","type" : "GAP_Category","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","IsInfBitsFamily"],"aka" : ["IsInfBitsFamily"]},{"name" : "IsSyllableAssocWordRep","type" : "GAP_Representation","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],"aka" : ["IsSyllableAssocWordRep"]},{"name" : "IsLetterAssocWordRep","type" : "GAP_Representation","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsLetterAssocWordRep"],"aka" : ["IsLetterAssocWordRep"]},{"name" : "IsBLetterAssocWordRep","type" : "GAP_Representation","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsLetterAssocWordRep","IsBLetterAssocWordRep"],"aka" : ["IsBLetterAssocWordRep"]},{"name" : "IsWLetterAssocWordRep","type" : "GAP_Representation","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsLetterAssocWordRep","IsWLetterAssocWordRep"],"aka" : ["IsWLetterAssocWordRep"]},{"name" : "IsLetterWordsFamily","type" : "GAP_Category","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily"],"aka" : ["IsLetterWordsFamily"]},{"name" : "IsBLetterWordsFamily","type" : "GAP_Category","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily","IsBLetterWordsFamily"],"aka" : ["IsBLetterWordsFamily"]},{"name" : "IsWLetterWordsFamily","type" : "GAP_Category","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily","IsWLetterWordsFamily"],"aka" : ["IsWLetterWordsFamily"]},{"name" : "Tester(IsFreeSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["Tester(IsFreeSemigroup)"],"aka" : ["HasIsFreeSemigroup"]},{"name" : "Tester(IsFreeMonoid)","type" : "GAP_TrueProperty","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"implied" : ["Tester(IsFreeMonoid)"],"aka" : ["HasIsFreeMonoid"]},{"name" : "IsPlistVectorRep","type" : "GAP_Representation","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","IsPlistVectorRep"],"aka" : ["IsPlistVectorRep"]},{"name" : "IsPlistMatrixRep","type" : "GAP_Representation","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","IsPlistMatrixRep"],"aka" : ["IsPlistMatrixRep"]},{"name" : "IsIntVector","type" : "GAP_Filter","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsIntVector"],"aka" : ["IsIntVector"]},{"name" : "IsFFEVector","type" : "GAP_Filter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsFFEVector"],"aka" : ["IsFFEVector"]},{"name" : "IsCheckingVector","type" : "GAP_Filter","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsCheckingVector"],"aka" : ["IsCheckingVector"]},{"name" : "IsCheckingMatrix","type" : "GAP_Filter","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gd"},"implied" : ["IsCheckingMatrix"],"aka" : ["IsCheckingMatrix"]},{"name" : "IsRewritingSystem","type" : "GAP_Category","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["IsCopyable","IsRewritingSystem"],"aka" : ["IsRewritingSystem"]},{"name" : "IsReducedConfluentRewritingSystem","type" : "GAP_Category","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["IsCopyable","IsRewritingSystem","IsReducedConfluentRewritingSystem"],"aka" : ["IsReducedConfluentRewritingSystem"]},{"name" : "Tester(IsBuiltFromAdditiveMagmaWithInverses)","type" : "GAP_TrueProperty","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromAdditiveMagmaWithInverses)"],"aka" : ["HasIsBuiltFromAdditiveMagmaWithInverses"]},{"name" : "Tester(IsBuiltFromMagma)","type" : "GAP_TrueProperty","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromMagma)"],"aka" : ["HasIsBuiltFromMagma"]},{"name" : "Tester(IsBuiltFromMagmaWithOne)","type" : "GAP_TrueProperty","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromMagmaWithOne)"],"aka" : ["HasIsBuiltFromMagmaWithOne"]},{"name" : "Tester(IsBuiltFromMagmaWithInverses)","type" : "GAP_TrueProperty","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromMagmaWithInverses)"],"aka" : ["HasIsBuiltFromMagmaWithInverses"]},{"name" : "Tester(IsBuiltFromGroup)","type" : "GAP_TrueProperty","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromGroup)"],"aka" : ["HasIsBuiltFromGroup"]},{"name" : "Tester(IsBuiltFromSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromSemigroup)"],"aka" : ["HasIsBuiltFromSemigroup"]},{"name" : "Tester(IsBuiltFromMonoid)","type" : "GAP_TrueProperty","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsBuiltFromMonoid)"],"aka" : ["HasIsBuiltFromMonoid"]},{"name" : "Tester(IsConfluent)","type" : "GAP_TrueProperty","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsConfluent)"],"aka" : ["HasIsConfluent"]},{"name" : "Tester(IsReduced)","type" : "GAP_TrueProperty","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"implied" : ["Tester(IsReduced)"],"aka" : ["HasIsReduced"]},{"name" : "IsPolycyclicCollector","type" : "GAP_Category","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"implied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector"],"aka" : ["IsPolycyclicCollector"]},{"name" : "IsPowerConjugateCollector","type" : "GAP_Category","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"implied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector","IsPowerConjugateCollector"],"aka" : ["IsPowerConjugateCollector"]},{"name" : "IsPowerCommutatorCollector","type" : "GAP_Category","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"implied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector","IsPowerCommutatorCollector"],"aka" : ["IsPowerCommutatorCollector"]},{"name" : "IsUpToDatePolycyclicCollector","type" : "GAP_Filter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"implied" : ["IsUpToDatePolycyclicCollector"],"aka" : ["IsUpToDatePolycyclicCollector"]},{"name" : "IsElementsFamilyByRws","type" : "GAP_Category","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"},"implied" : ["IsFamily","IsElementsFamilyByRws"],"aka" : ["IsElementsFamilyByRws"]},{"name" : "IsMultiplicativeElementWithInverseByRws","type" : "GAP_Category","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMultiplicativeElementWithInverseByRws"],"aka" : ["IsMultiplicativeElementWithInverseByRws"]},{"name" : "IsElementFinitePolycyclicGroup","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsElementFinitePolycyclicGroup"],"aka" : ["IsElementFinitePolycyclicGroup"]},{"name" : "CategoryCollections(IsElementFinitePolycyclicGroup)","type" : "GAP_Category","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)","CategoryCollections(IsElementFinitePolycyclicGroup)"],"aka" : ["IsElementFinitePolycyclicGroupCollection"]},{"name" : "IsMultiplicativeElementWithInverseByPolycyclicCollector","type" : "GAP_Category","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsMultiplicativeElementWithInverseByRws","IsMultiplicativeElementWithInverseByPolycyclicCollector"],"aka" : ["IsMultiplicativeElementWithInverseByPolycyclicCollector"]},{"name" : "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","type" : "GAP_Category","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],"aka" : ["IsMultiplicativeElementWithInverseByPolycyclicCollectorCollection"]},{"name" : "IsKernelPcWord","type" : "GAP_Filter","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsKernelPcWord"],"aka" : ["IsKernelPcWord"]},{"name" : "IsElementsFamilyBy8BitsSingleCollector","type" : "GAP_Category","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsFamily","IsElementsFamilyByRws","IsElementsFamilyBy8BitsSingleCollector"],"aka" : ["IsElementsFamilyBy8BitsSingleCollector"]},{"name" : "IsElementsFamilyBy16BitsSingleCollector","type" : "GAP_Category","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsFamily","IsElementsFamilyByRws","IsElementsFamilyBy16BitsSingleCollector"],"aka" : ["IsElementsFamilyBy16BitsSingleCollector"]},{"name" : "IsElementsFamilyBy32BitsSingleCollector","type" : "GAP_Category","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"implied" : ["IsFamily","IsElementsFamilyByRws","IsElementsFamilyBy32BitsSingleCollector"],"aka" : ["IsElementsFamilyBy32BitsSingleCollector"]},{"name" : "IsMonomialOrdering","type" : "GAP_Category","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"implied" : ["IsMonomialOrdering"],"aka" : ["IsMonomialOrdering"]},{"name" : "IsMonomialOrderingDefaultRep","type" : "GAP_Representation","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"implied" : ["IsPositionalObjectRep","IsComponentObjectRep","IsAttributeStoringRep","IsMonomialOrdering","IsMonomialOrderingDefaultRep"],"aka" : ["IsMonomialOrderingDefaultRep"]},{"name" : "IsGeneralPcgs","type" : "GAP_Category","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs"],"aka" : ["IsGeneralPcgs"]},{"name" : "IsModuloPcgs","type" : "GAP_Category","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs"],"aka" : ["IsModuloPcgs"]},{"name" : "IsPcgs","type" : "GAP_Category","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs","IsPcgs"],"aka" : ["IsPcgs"]},{"name" : "IsPcgsFamily","type" : "GAP_Category","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["IsFamily","IsPcgsFamily"],"aka" : ["IsPcgsFamily"]},{"name" : "IsPcgsDefaultRep","type" : "GAP_Representation","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep"],"aka" : ["IsPcgsDefaultRep"]},{"name" : "Tester(IsPcgsElementaryAbelianSeries)","type" : "GAP_TrueProperty","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsPcgsElementaryAbelianSeries)"],"aka" : ["HasIsPcgsElementaryAbelianSeries"]},{"name" : "Tester(IsPcgsCentralSeries)","type" : "GAP_TrueProperty","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsPcgsCentralSeries)"],"aka" : ["HasIsPcgsCentralSeries"]},{"name" : "Tester(IsPcgsPCentralSeriesPGroup)","type" : "GAP_TrueProperty","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsPcgsPCentralSeriesPGroup)"],"aka" : ["HasIsPcgsPCentralSeriesPGroup"]},{"name" : "Tester(IsPcgsChiefSeries)","type" : "GAP_TrueProperty","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsPcgsChiefSeries)"],"aka" : ["HasIsPcgsChiefSeries"]},{"name" : "Tester(IsPrimeOrdersPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsPrimeOrdersPcgs)"],"aka" : ["HasIsPrimeOrdersPcgs"]},{"name" : "Tester(IsFiniteOrdersPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"implied" : ["Tester(IsFiniteOrdersPcgs)"],"aka" : ["HasIsFiniteOrdersPcgs"]},{"name" : "IsInducedPcgs","type" : "GAP_Category","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs","IsPcgs","IsInducedPcgs"],"aka" : ["IsInducedPcgs"]},{"name" : "Tester(IsCanonicalPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"implied" : ["Tester(IsCanonicalPcgs)"],"aka" : ["HasIsCanonicalPcgs"]},{"name" : "Tester(IsParentPcgsFamilyPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"implied" : ["Tester(IsParentPcgsFamilyPcgs)"],"aka" : ["HasIsParentPcgsFamilyPcgs"]},{"name" : "Tester(IsFamilyPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"},"implied" : ["Tester(IsFamilyPcgs)"],"aka" : ["HasIsFamilyPcgs"]},{"name" : "Tester(IsNumeratorParentPcgsFamilyPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"implied" : ["Tester(IsNumeratorParentPcgsFamilyPcgs)"],"aka" : ["HasIsNumeratorParentPcgsFamilyPcgs"]},{"name" : "IsPcgsPermGroupRep","type" : "GAP_Representation","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)","IsPcgsPermGroupRep"],"aka" : ["IsPcgsPermGroupRep"]},{"name" : "IsModuloPcgsPermGroupRep","type" : "GAP_Representation","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)","IsPcgsPermGroupRep","IsModuloPcgsPermGroupRep"],"aka" : ["IsModuloPcgsPermGroupRep"]},{"name" : "Tester(IsSpecialPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"implied" : ["Tester(IsSpecialPcgs)"],"aka" : ["HasIsSpecialPcgs"]},{"name" : "Tester(IsInducedPcgsWrtSpecialPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"implied" : ["Tester(IsInducedPcgsWrtSpecialPcgs)"],"aka" : ["HasIsInducedPcgsWrtSpecialPcgs"]},{"name" : "Tester(IsCanonicalPcgsWrtSpecialPcgs)","type" : "GAP_TrueProperty","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"implied" : ["Tester(IsCanonicalPcgsWrtSpecialPcgs)"],"aka" : ["HasIsCanonicalPcgsWrtSpecialPcgs"]},{"name" : "CanEasilyComputePcgs","type" : "GAP_Filter","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"implied" : ["IsListOrCollection","IsCollection","CanComputeSize","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","CanComputeSizeAnySubgroup","IsSolvableGroup","Tester(IsSolvableGroup)","CanEasilyComputePcgs"],"aka" : ["CanEasilyComputePcgs"]},{"name" : "IsGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages"],"aka" : ["IsGroupGeneralMappingByImages"]},{"name" : "IsPreimagesByAsGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages"],"aka" : ["IsPreimagesByAsGroupGeneralMappingByImages"]},{"name" : "IsGroupGeneralMappingByAsGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsGroupGeneralMappingByAsGroupGeneralMappingByImages"],"aka" : ["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]},{"name" : "Tester(IsConjugatorIsomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"implied" : ["Tester(IsConjugatorIsomorphism)"],"aka" : ["HasIsConjugatorIsomorphism"]},{"name" : "Tester(IsInnerAutomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"implied" : ["Tester(IsInnerAutomorphism)"],"aka" : ["HasIsInnerAutomorphism"]},{"name" : "IsGroupGeneralMappingByPcgs","type" : "GAP_Representation","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGroupGeneralMappingByPcgs"],"aka" : ["IsGroupGeneralMappingByPcgs"]},{"name" : "IsPcGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGroupGeneralMappingByPcgs","IsPcGroupGeneralMappingByImages"],"aka" : ["IsPcGroupGeneralMappingByImages"]},{"name" : "IsToPcGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsToPcGroupGeneralMappingByImages"],"aka" : ["IsToPcGroupGeneralMappingByImages"]},{"name" : "IsNaturalHomomorphismPcGroupRep","type" : "GAP_Representation","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsNaturalHomomorphismPcGroupRep"],"aka" : ["IsNaturalHomomorphismPcGroupRep"]},{"name" : "IsPcgsToPcgsGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGroupGeneralMappingByPcgs","IsPcGroupGeneralMappingByImages","IsToPcGroupGeneralMappingByImages","IsPcgsToPcgsGeneralMappingByImages"],"aka" : ["IsPcgsToPcgsGeneralMappingByImages"]},{"name" : "IsWreathProductElement","type" : "GAP_Category","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWreathProductElement"],"aka" : ["IsWreathProductElement"]},{"name" : "CategoryCollections(IsWreathProductElement)","type" : "GAP_Category","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWreathProductElement)"],"aka" : ["IsWreathProductElementCollection"]},{"name" : "IsWreathProductElementDefaultRep","type" : "GAP_Representation","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWreathProductElement","IsWreathProductElementDefaultRep"],"aka" : ["IsWreathProductElementDefaultRep"]},{"name" : "IsPermGroupGeneralMapping","type" : "GAP_Representation","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPermGroupGeneralMapping"],"aka" : ["IsPermGroupGeneralMapping"]},{"name" : "IsPermGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsPermGroupGeneralMapping","IsPermGroupGeneralMappingByImages"],"aka" : ["IsPermGroupGeneralMappingByImages"]},{"name" : "IsToPermGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsToPermGroupGeneralMappingByImages"],"aka" : ["IsToPermGroupGeneralMappingByImages"]},{"name" : "Tester(IsNaturalSymmetricGroup)","type" : "GAP_TrueProperty","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"implied" : ["Tester(IsNaturalSymmetricGroup)"],"aka" : ["HasIsNaturalSymmetricGroup"]},{"name" : "Tester(IsNaturalAlternatingGroup)","type" : "GAP_TrueProperty","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"implied" : ["Tester(IsNaturalAlternatingGroup)"],"aka" : ["HasIsNaturalAlternatingGroup"]},{"name" : "Tester(IsAlternatingGroup)","type" : "GAP_TrueProperty","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"implied" : ["Tester(IsAlternatingGroup)"],"aka" : ["HasIsAlternatingGroup"]},{"name" : "Tester(IsSymmetricGroup)","type" : "GAP_TrueProperty","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"implied" : ["Tester(IsSymmetricGroup)"],"aka" : ["HasIsSymmetricGroup"]},{"name" : "Tester(IsDihedralGroup)","type" : "GAP_TrueProperty","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"implied" : ["Tester(IsDihedralGroup)"],"aka" : ["HasIsDihedralGroup"]},{"name" : "Tester(IsQuaternionGroup)","type" : "GAP_TrueProperty","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"implied" : ["Tester(IsQuaternionGroup)"],"aka" : ["HasIsQuaternionGroup"]},{"name" : "Tester(IsQuasiDihedralGroup)","type" : "GAP_TrueProperty","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"implied" : ["Tester(IsQuasiDihedralGroup)"],"aka" : ["HasIsQuasiDihedralGroup"]},{"name" : "Tester(IsPSL)","type" : "GAP_TrueProperty","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"implied" : ["Tester(IsPSL)"],"aka" : ["HasIsPSL"]},{"name" : "IsQuotientSystem","type" : "GAP_Category","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"implied" : ["IsQuotientSystem"],"aka" : ["IsQuotientSystem"]},{"name" : "Tester(IsPQuotientSystem)","type" : "GAP_TrueProperty","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"implied" : ["Tester(IsPQuotientSystem)"],"aka" : ["HasIsPQuotientSystem"]},{"name" : "Tester(IsNilpQuotientSystem)","type" : "GAP_TrueProperty","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"implied" : ["Tester(IsNilpQuotientSystem)"],"aka" : ["HasIsNilpQuotientSystem"]},{"name" : "IsExternalSet","type" : "GAP_Category","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet"],"aka" : ["IsExternalSet"]},{"name" : "IsExternalSubset","type" : "GAP_Representation","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset"],"aka" : ["IsExternalSubset"]},{"name" : "IsExternalOrbit","type" : "GAP_Representation","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit"],"aka" : ["IsExternalOrbit"]},{"name" : "IsExternalSetByPcgs","type" : "GAP_Category","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetByPcgs"],"aka" : ["IsExternalSetByPcgs"]},{"name" : "IsExternalSetDefaultRep","type" : "GAP_Representation","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetDefaultRep"],"aka" : ["IsExternalSetDefaultRep"]},{"name" : "IsExternalSetByActorsRep","type" : "GAP_Representation","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetByActorsRep"],"aka" : ["IsExternalSetByActorsRep","IsExternalSetByOperatorsRep"]},{"name" : "IsActionHomomorphism","type" : "GAP_Representation","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism"],"aka" : ["IsActionHomomorphism"]},{"name" : "IsActionHomomorphismByActors","type" : "GAP_Representation","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByActors"],"aka" : ["IsActionHomomorphismByActors"]},{"name" : "IsActionHomomorphismSubset","type" : "GAP_Representation","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismSubset"],"aka" : ["IsActionHomomorphismSubset"]},{"name" : "IsActionHomomorphismByBase","type" : "GAP_Representation","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByBase"],"aka" : ["IsActionHomomorphismByBase"]},{"name" : "IsConstituentHomomorphism","type" : "GAP_Representation","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsConstituentHomomorphism"],"aka" : ["IsConstituentHomomorphism"]},{"name" : "IsBlocksHomomorphism","type" : "GAP_Representation","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsBlocksHomomorphism"],"aka" : ["IsBlocksHomomorphism"]},{"name" : "IsLinearActionHomomorphism","type" : "GAP_Representation","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsLinearActionHomomorphism"],"aka" : ["IsLinearActionHomomorphism"]},{"name" : "IsProjectiveActionHomomorphism","type" : "GAP_Representation","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsProjectiveActionHomomorphism"],"aka" : ["IsProjectiveActionHomomorphism"]},{"name" : "Tester(IsTransitive)","type" : "GAP_TrueProperty","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["Tester(IsTransitive)"],"aka" : ["HasIsTransitive"]},{"name" : "Tester(IsPrimitive)","type" : "GAP_TrueProperty","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["Tester(IsPrimitive)"],"aka" : ["HasIsPrimitive"]},{"name" : "Tester(IsPrimitiveAffine)","type" : "GAP_TrueProperty","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["Tester(IsPrimitiveAffine)"],"aka" : ["HasIsPrimitiveAffine"]},{"name" : "Tester(IsSemiRegular)","type" : "GAP_TrueProperty","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["Tester(IsSemiRegular)"],"aka" : ["HasIsSemiRegular"]},{"name" : "Tester(IsRegular)","type" : "GAP_TrueProperty","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"implied" : ["Tester(IsRegular)"],"aka" : ["HasIsRegular"]},{"name" : "IsPermOnEnumerator","type" : "GAP_Category","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement","IsPermOnEnumerator"],"aka" : ["IsPermOnEnumerator"]},{"name" : "IsExternalOrbitByStabilizerRep","type" : "GAP_Representation","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsExternalOrbitByStabilizerRep"],"aka" : ["IsExternalOrbitByStabiliserRep","IsExternalOrbitByStabilizerRep"]},{"name" : "IsConjugacyClassGroupRep","type" : "GAP_Representation","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsConjugacyClassGroupRep"],"aka" : ["IsConjugacyClassGroupRep"]},{"name" : "IsConjugacyClassPermGroupRep","type" : "GAP_Representation","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsExternalOrbitByStabilizerRep","IsConjugacyClassGroupRep","IsConjugacyClassPermGroupRep"],"aka" : ["IsConjugacyClassPermGroupRep"]},{"name" : "IsRationalClassGroupRep","type" : "GAP_Representation","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsRationalClassGroupRep"],"aka" : ["IsRationalClassGroupRep"]},{"name" : "IsRationalClassPermGroupRep","type" : "GAP_Representation","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsRationalClassGroupRep","IsRationalClassPermGroupRep"],"aka" : ["IsRationalClassPermGroupRep"]},{"name" : "IsDoubleCoset","type" : "GAP_Category","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsExtRSet","IsDoubleCoset"],"aka" : ["IsDoubleCoset"]},{"name" : "IsRightCoset","type" : "GAP_Category","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsRightCoset"],"aka" : ["IsRightCoset"]},{"name" : "Tester(IsCentralFactor)","type" : "GAP_TrueProperty","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"implied" : ["Tester(IsCentralFactor)"],"aka" : ["HasIsCentralFactor"]},{"name" : "IsConjugacyClassSubgroupsRep","type" : "GAP_Representation","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsConjugacyClassSubgroupsRep"],"aka" : ["IsConjugacyClassSubgroupsRep"]},{"name" : "IsConjugacyClassSubgroupsByStabilizerRep","type" : "GAP_Representation","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsExternalOrbitByStabilizerRep","IsConjugacyClassSubgroupsRep","IsConjugacyClassSubgroupsByStabilizerRep"],"aka" : ["IsConjugacyClassSubgroupsByStabiliserRep","IsConjugacyClassSubgroupsByStabilizerRep"]},{"name" : "IsLatticeSubgroupsRep","type" : "GAP_Representation","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLatticeSubgroupsRep"],"aka" : ["IsLatticeSubgroupsRep"]},{"name" : "Tester(IsFrattiniFree)","type" : "GAP_TrueProperty","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"implied" : ["Tester(IsFrattiniFree)"],"aka" : ["HasIsFrattiniFree"]},{"name" : "IsStraightLineProgram","type" : "GAP_Category","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"implied" : ["IsStraightLineProgram"],"aka" : ["IsStraightLineProgram"]},{"name" : "StraightLineProgramElmRankFilter","type" : "GAP_Filter","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"implied" : ["StraightLineProgramElmRankFilter"],"aka" : ["StraightLineProgramElmRankFilter"]},{"name" : "IsStraightLineProgElm","type" : "GAP_Representation","location" : {"line" : 536,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","StraightLineProgramElmRankFilter","IsStraightLineProgElm"],"aka" : ["IsStraightLineProgElm"]},{"name" : "IsObjWithMemoryRankFilter","type" : "GAP_Filter","location" : {"line" : 13,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"implied" : ["IsObjWithMemoryRankFilter"],"aka" : ["IsObjWithMemoryRankFilter"]},{"name" : "IsObjWithMemory","type" : "GAP_Representation","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"implied" : ["IsComponentObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsObjWithMemoryRankFilter","IsObjWithMemory"],"aka" : ["IsObjWithMemory"]},{"name" : "IsSubgroupFgGroup","type" : "GAP_Category","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsSubgroupFgGroup"],"aka" : ["IsSubgroupFgGroup"]},{"name" : "IsSubgroupFpGroup","type" : "GAP_Category","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsSubgroupFgGroup","IsSubgroupFpGroup"],"aka" : ["IsSubgroupFpGroup"]},{"name" : "IsElementOfFpGroup","type" : "GAP_Category","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsElementOfFpGroup"],"aka" : ["IsElementOfFpGroup"]},{"name" : "CategoryCollections(IsElementOfFpGroup)","type" : "GAP_Category","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsElementOfFpGroup)"],"aka" : ["IsElementOfFpGroupCollection"]},{"name" : "CategoryFamily(IsElementOfFpGroup)","type" : "GAP_Category","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsFamily","CategoryFamily(IsElementOfFpGroup)"],"aka" : ["IsElementOfFpGroupFamily"]},{"name" : "IsSubgroupOfWholeGroupByQuotientRep","type" : "GAP_Representation","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsSubgroupFgGroup","IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],"aka" : ["IsSubgroupOfWholeGroupByQuotientRep"]},{"name" : "IsPresentation","type" : "GAP_Category","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"implied" : ["IsCopyable","IsPresentation"],"aka" : ["IsPresentation"]},{"name" : "Extrarankfilter","type" : "GAP_Filter","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["Extrarankfilter"]},{"name" : "IsFromFpGroupGeneralMapping","type" : "GAP_Category","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","Extrarankfilter","IsFromFpGroupGeneralMapping"],"aka" : ["IsFromFpGroupGeneralMapping"]},{"name" : "IsFromFpGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","Extrarankfilter","IsFromFpGroupGeneralMapping","IsFromFpGroupGeneralMappingByImages"],"aka" : ["IsFromFpGroupGeneralMappingByImages"]},{"name" : "IsFromFpGroupStdGensGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","Extrarankfilter","IsFromFpGroupGeneralMapping","IsFromFpGroupGeneralMappingByImages","IsFromFpGroupStdGensGeneralMappingByImages"],"aka" : ["IsFromFpGroupStdGensGeneralMappingByImages"]},{"name" : "IsToFpGroupGeneralMappingByImages","type" : "GAP_Representation","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsToFpGroupGeneralMappingByImages"],"aka" : ["IsToFpGroupGeneralMappingByImages"]},{"name" : "Tester(IsWordDecompHomomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"implied" : ["Tester(IsWordDecompHomomorphism)"],"aka" : ["HasIsWordDecompHomomorphism"]},{"name" : "IsCanonicalBasisIntegersRep","type" : "GAP_Representation","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisIntegersRep"],"aka" : ["IsCanonicalBasisIntegersRep"]},{"name" : "IsNiceMonomorphism","type" : "GAP_Filter","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"implied" : ["IsNiceMonomorphism"],"aka" : ["IsNiceMonomorphism"]},{"name" : "Tester(IsCanonicalNiceMonomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"implied" : ["Tester(IsCanonicalNiceMonomorphism)"],"aka" : ["HasIsCanonicalNiceMonomorphism"]},{"name" : "Tester(IsHandledByNiceMonomorphism)","type" : "GAP_TrueProperty","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"implied" : ["Tester(IsHandledByNiceMonomorphism)"],"aka" : ["HasIsHandledByNiceMonomorphism"]},{"name" : "Tester(IsGroupOfAutomorphisms)","type" : "GAP_TrueProperty","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"implied" : ["Tester(IsGroupOfAutomorphisms)"],"aka" : ["HasIsGroupOfAutomorphisms"]},{"name" : "Tester(IsGroupOfAutomorphismsFiniteGroup)","type" : "GAP_TrueProperty","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"implied" : ["Tester(IsGroupOfAutomorphismsFiniteGroup)"],"aka" : ["HasIsGroupOfAutomorphismsFiniteGroup"]},{"name" : "Tester(IsAutomorphismGroup)","type" : "GAP_TrueProperty","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"implied" : ["Tester(IsAutomorphismGroup)"],"aka" : ["HasIsAutomorphismGroup"]},{"name" : "Tester(IsGeneralLinearGroup)","type" : "GAP_TrueProperty","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsGeneralLinearGroup)"],"aka" : ["HasIsGL","HasIsGeneralLinearGroup"]},{"name" : "Tester(IsNaturalGL)","type" : "GAP_TrueProperty","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsNaturalGL)"],"aka" : ["HasIsNaturalGL"]},{"name" : "Tester(IsSpecialLinearGroup)","type" : "GAP_TrueProperty","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsSpecialLinearGroup)"],"aka" : ["HasIsSL","HasIsSpecialLinearGroup"]},{"name" : "Tester(IsNaturalSL)","type" : "GAP_TrueProperty","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsNaturalSL)"],"aka" : ["HasIsNaturalSL"]},{"name" : "Tester(IsSubgroupSL)","type" : "GAP_TrueProperty","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsSubgroupSL)"],"aka" : ["HasIsSubgroupSL"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingBilinearForm)","type" : "GAP_TrueProperty","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"],"aka" : ["HasIsFullSubgroupGLorSLRespectingBilinearForm"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)","type" : "GAP_TrueProperty","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"],"aka" : ["HasIsFullSubgroupGLorSLRespectingSesquilinearForm"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingQuadraticForm)","type" : "GAP_TrueProperty","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"implied" : ["Tester(IsFullSubgroupGLorSLRespectingQuadraticForm)"],"aka" : ["HasIsFullSubgroupGLorSLRespectingQuadraticForm"]},{"name" : "CanComputeFittingFree","type" : "GAP_Filter","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"implied" : ["IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsFiniteOrderElement)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsCompletelySimpleSemigroup","Tester(IsCompletelySimpleSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsFinitelyGeneratedGroup","Tester(IsFinitelyGeneratedGroup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)","CanComputeFittingFree"],"aka" : ["CanComputeFittingFree"]},{"name" : "Tester(IsRationalMatrixGroup)","type" : "GAP_TrueProperty","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"implied" : ["Tester(IsRationalMatrixGroup)"],"aka" : ["HasIsRationalMatrixGroup"]},{"name" : "Tester(IsIntegerMatrixGroup)","type" : "GAP_TrueProperty","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"implied" : ["Tester(IsIntegerMatrixGroup)"],"aka" : ["HasIsIntegerMatrixGroup"]},{"name" : "Tester(IsBravaisGroup)","type" : "GAP_TrueProperty","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"implied" : ["Tester(IsBravaisGroup)"],"aka" : ["HasIsBravaisGroup"]},{"name" : "IsPerfectLibraryGroup","type" : "GAP_Category","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsPerfectLibraryGroup"],"aka" : ["IsPerfectLibraryGroup"]},{"name" : "IsImfMatrixGroup","type" : "GAP_Filter","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"implied" : ["IsImfMatrixGroup"],"aka" : ["IsImfMatrixGroup"]},{"name" : "IsOrdering","type" : "GAP_Category","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["IsOrdering"],"aka" : ["IsOrdering"]},{"name" : "Tester(IsWellFoundedOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsWellFoundedOrdering)"],"aka" : ["HasIsWellFoundedOrdering"]},{"name" : "Tester(IsTotalOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsTotalOrdering)"],"aka" : ["HasIsTotalOrdering"]},{"name" : "Tester(IsOrderingOnFamilyOfAssocWords)","type" : "GAP_TrueProperty","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsOrderingOnFamilyOfAssocWords)"],"aka" : ["HasIsOrderingOnFamilyOfAssocWords"]},{"name" : "Tester(IsTranslationInvariantOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsTranslationInvariantOrdering)"],"aka" : ["HasIsTranslationInvariantOrdering"]},{"name" : "Tester(IsShortLexOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsShortLexOrdering)"],"aka" : ["HasIsShortLexOrdering"]},{"name" : "Tester(IsWeightLexOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsWeightLexOrdering)"],"aka" : ["HasIsWeightLexOrdering"]},{"name" : "Tester(IsBasicWreathProductOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsBasicWreathProductOrdering)"],"aka" : ["HasIsBasicWreathProductOrdering"]},{"name" : "Tester(IsWreathProductOrdering)","type" : "GAP_TrueProperty","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"implied" : ["Tester(IsWreathProductOrdering)"],"aka" : ["HasIsWreathProductOrdering"]},{"name" : "Tester(IsFlatKernelOfTransformation)","type" : "GAP_TrueProperty","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"implied" : ["Tester(IsFlatKernelOfTransformation)"],"aka" : ["HasIsFlatKernelOfTransformation"]},{"name" : "IsElementOfFpSemigroup","type" : "GAP_Category","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsElementOfFpSemigroup"],"aka" : ["IsElementOfFpSemigroup"]},{"name" : "CategoryCollections(IsElementOfFpSemigroup)","type" : "GAP_Category","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsElementOfFpSemigroup)"],"aka" : ["IsElementOfFpSemigroupCollection"]},{"name" : "CategoryFamily(IsElementOfFpSemigroup)","type" : "GAP_Category","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"implied" : ["IsFamily","CategoryFamily(IsElementOfFpSemigroup)"],"aka" : ["IsElementOfFpSemigroupFamily"]},{"name" : "IsElementOfFpMonoid","type" : "GAP_Category","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsAssociativeElement","IsElementOfFpMonoid"],"aka" : ["IsElementOfFpMonoid"]},{"name" : "CategoryCollections(IsElementOfFpMonoid)","type" : "GAP_Category","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsElementOfFpMonoid)"],"aka" : ["IsElementOfFpMonoidCollection"]},{"name" : "CategoryFamily(IsElementOfFpMonoid)","type" : "GAP_Category","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"implied" : ["IsFamily","CategoryFamily(IsElementOfFpMonoid)"],"aka" : ["IsElementOfFpMonoidFamily"]},{"name" : "IsKnuthBendixRewritingSystem","type" : "GAP_Category","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"},"implied" : ["IsCopyable","IsRewritingSystem","IsKnuthBendixRewritingSystem"],"aka" : ["IsKnuthBendixRewritingSystem"]},{"name" : "IsMonoidByAdjoiningIdentityElt","type" : "GAP_Category","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsAssociativeElement","IsMonoidByAdjoiningIdentityElt"],"aka" : ["IsMonoidByAdjoiningIdentityElt"]},{"name" : "IsMonoidByAdjoiningIdentity","type" : "GAP_Category","location" : {"line" : 12,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsMonoidByAdjoiningIdentity"],"aka" : ["IsMonoidByAdjoiningIdentity"]},{"name" : "IsMonoidByAdjoiningIdentityEltRep","type" : "GAP_Representation","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"implied" : ["IsPositionalObjectRep","IsMonoidByAdjoiningIdentityEltRep"],"aka" : ["IsMonoidByAdjoiningIdentityEltRep"]},{"name" : "IsGreensRelation","type" : "GAP_Category","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation"],"aka" : ["IsGreensRelation"]},{"name" : "IsGreensRRelation","type" : "GAP_Category","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensRRelation"],"aka" : ["IsGreensRRelation"]},{"name" : "IsGreensLRelation","type" : "GAP_Category","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensLRelation"],"aka" : ["IsGreensLRelation"]},{"name" : "IsGreensJRelation","type" : "GAP_Category","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensJRelation"],"aka" : ["IsGreensJRelation"]},{"name" : "IsGreensHRelation","type" : "GAP_Category","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensHRelation"],"aka" : ["IsGreensHRelation"]},{"name" : "IsGreensDRelation","type" : "GAP_Category","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensDRelation"],"aka" : ["IsGreensDRelation"]},{"name" : "Tester(IsFiniteSemigroupGreensRelation)","type" : "GAP_TrueProperty","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["Tester(IsFiniteSemigroupGreensRelation)"],"aka" : ["HasIsFiniteSemigroupGreensRelation"]},{"name" : "IsGreensClass","type" : "GAP_Category","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass"],"aka" : ["IsGreensClass"]},{"name" : "IsGreensRClass","type" : "GAP_Category","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensRClass"],"aka" : ["IsGreensRClass"]},{"name" : "IsGreensLClass","type" : "GAP_Category","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensLClass"],"aka" : ["IsGreensLClass"]},{"name" : "IsGreensJClass","type" : "GAP_Category","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensJClass"],"aka" : ["IsGreensJClass"]},{"name" : "IsGreensHClass","type" : "GAP_Category","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensHClass"],"aka" : ["IsGreensHClass"]},{"name" : "IsGreensDClass","type" : "GAP_Category","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensDClass"],"aka" : ["IsGreensDClass"]},{"name" : "Tester(IsRegularDClass)","type" : "GAP_TrueProperty","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["Tester(IsRegularDClass)"],"aka" : ["HasIsRegularDClass"]},{"name" : "Tester(IsGroupHClass)","type" : "GAP_TrueProperty","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["Tester(IsGroupHClass)"],"aka" : ["HasIsGroupHClass"]},{"name" : "IsSemigroupGeneralMappingRep","type" : "GAP_Representation","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupGeneralMappingRep"],"aka" : ["IsSemigroupGeneralMappingRep"]},{"name" : "IsSemigroupHomomorphismByImagesRep","type" : "GAP_Representation","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSemigroupHomomorphismByImagesRep"],"aka" : ["IsSemigroupHomomorphismByImagesRep"]},{"name" : "Tester(IsFpSemigpReducedElt)","type" : "GAP_TrueProperty","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["Tester(IsFpSemigpReducedElt)"],"aka" : ["HasIsFpSemigpReducedElt"]},{"name" : "Tester(IsFpMonoidReducedElt)","type" : "GAP_TrueProperty","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"implied" : ["Tester(IsFpMonoidReducedElt)"],"aka" : ["HasIsFpMonoidReducedElt"]},{"name" : "Tester(IsFullTransformationSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"implied" : ["Tester(IsFullTransformationSemigroup)"],"aka" : ["HasIsFullTransformationSemigroup"]},{"name" : "IsReesMatrixSemigroupElement","type" : "GAP_Category","location" : {"line" : 13,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsReesMatrixSemigroupElement"],"aka" : ["IsReesMatrixSemigroupElement"]},{"name" : "IsReesZeroMatrixSemigroupElement","type" : "GAP_Category","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsReesZeroMatrixSemigroupElement"],"aka" : ["IsReesZeroMatrixSemigroupElement"]},{"name" : "CategoryCollections(IsReesMatrixSemigroupElement)","type" : "GAP_Category","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["IsReesMatrixSemigroupElementCollection"]},{"name" : "CategoryCollections(IsReesZeroMatrixSemigroupElement)","type" : "GAP_Category","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],"aka" : ["IsReesZeroMatrixSemigroupElementCollection"]},{"name" : "Tester(IsReesMatrixSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["Tester(IsReesMatrixSemigroup)"],"aka" : ["HasIsReesMatrixSemigroup"]},{"name" : "Tester(IsReesZeroMatrixSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"implied" : ["Tester(IsReesZeroMatrixSemigroup)"],"aka" : ["HasIsReesZeroMatrixSemigroup"]},{"name" : "IsQuotientSemigroup","type" : "GAP_Category","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsAssociative","Tester(IsAssociative)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsQuotientSemigroup"],"aka" : ["IsQuotientSemigroup"]},{"name" : "Tester(IsSymmetricInverseSemigroup)","type" : "GAP_TrueProperty","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"implied" : ["Tester(IsSymmetricInverseSemigroup)"],"aka" : ["HasIsSymmetricInverseSemigroup"]},{"name" : "IsNearlyCharacterTable","type" : "GAP_Category","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable"],"aka" : ["IsNearlyCharacterTable"]},{"name" : "IsCharacterTable","type" : "GAP_Category","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable","IsCharacterTable"],"aka" : ["IsCharacterTable"]},{"name" : "IsOrdinaryTable","type" : "GAP_Category","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable","IsCharacterTable","IsOrdinaryTable"],"aka" : ["IsOrdinaryTable"]},{"name" : "IsBrauerTable","type" : "GAP_Category","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable","IsCharacterTable","IsBrauerTable"],"aka" : ["IsBrauerTable"]},{"name" : "IsCharacterTableInProgress","type" : "GAP_Category","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable","IsCharacterTableInProgress"],"aka" : ["IsCharacterTableInProgress"]},{"name" : "Tester(IsAlmostSimpleCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsAlmostSimpleCharacterTable)"],"aka" : ["HasIsAlmostSimpleCharacterTable"]},{"name" : "Tester(IsMonomialCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsMonomialCharacterTable)"],"aka" : ["HasIsMonomialCharacterTable"]},{"name" : "Tester(IsNilpotentCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsNilpotentCharacterTable)"],"aka" : ["HasIsNilpotentCharacterTable"]},{"name" : "Tester(IsPerfectCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsPerfectCharacterTable)"],"aka" : ["HasIsPerfectCharacterTable"]},{"name" : "Tester(IsSimpleCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsSimpleCharacterTable)"],"aka" : ["HasIsSimpleCharacterTable"]},{"name" : "Tester(IsSolvableCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsSolvableCharacterTable)"],"aka" : ["HasIsSolubleCharacterTable","HasIsSolvableCharacterTable"]},{"name" : "Tester(IsSporadicSimpleCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsSporadicSimpleCharacterTable)"],"aka" : ["HasIsSporadicSimpleCharacterTable"]},{"name" : "Tester(IsSupersolvableCharacterTable)","type" : "GAP_TrueProperty","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["Tester(IsSupersolvableCharacterTable)"],"aka" : ["HasIsSupersolubleCharacterTable","HasIsSupersolvableCharacterTable"]},{"name" : "IsLibraryCharacterTableRep","type" : "GAP_Representation","location" : {"line" : 4444,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLibraryCharacterTableRep"],"aka" : ["IsLibraryCharacterTableRep"]},{"name" : "IsGenericCharacterTableRep","type" : "GAP_Representation","location" : {"line" : 4478,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"implied" : ["IsNearlyCharacterTable","IsGenericCharacterTableRep"],"aka" : ["IsGenericCharacterTableRep"]},{"name" : "IsClassFunction","type" : "GAP_Category","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsExtAElement","CategoryCollections(IsExtAElement)","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","IsMultiplicativeElement","CategoryCollections(IsMultiplicativeElement)","IsMultiplicativeElementWithOne","CategoryCollections(IsMultiplicativeElementWithOne)","IsMultiplicativeElementWithInverse","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedRowVector","IsAssociativeElement","IsCommutativeElement","IsClassFunction"],"aka" : ["IsClassFunction"]},{"name" : "Tester(IsCharacter)","type" : "GAP_TrueProperty","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"implied" : ["Tester(IsCharacter)"],"aka" : ["HasIsCharacter"]},{"name" : "Tester(IsVirtualCharacter)","type" : "GAP_TrueProperty","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"implied" : ["Tester(IsVirtualCharacter)"],"aka" : ["HasIsVirtualCharacter"]},{"name" : "Tester(IsIrreducibleCharacter)","type" : "GAP_TrueProperty","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"implied" : ["Tester(IsIrreducibleCharacter)"],"aka" : ["HasIsIrreducibleCharacter"]},{"name" : "IsClassFunctionsSpace","type" : "GAP_Filter","location" : {"line" : 2854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsClassFunctionsSpace"],"aka" : ["IsClassFunctionsSpace"]},{"name" : "Tester(IsBergerCondition)","type" : "GAP_TrueProperty","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsBergerCondition)"],"aka" : ["HasIsBergerCondition"]},{"name" : "Tester(IsPrimitiveCharacter)","type" : "GAP_TrueProperty","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsPrimitiveCharacter)"],"aka" : ["HasIsPrimitiveCharacter"]},{"name" : "Tester(IsQuasiPrimitive)","type" : "GAP_TrueProperty","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsQuasiPrimitive)"],"aka" : ["HasIsQuasiPrimitive"]},{"name" : "Tester(IsInducedFromNormalSubgroup)","type" : "GAP_TrueProperty","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsInducedFromNormalSubgroup)"],"aka" : ["HasIsInducedFromNormalSubgroup"]},{"name" : "Tester(IsMonomialCharacter)","type" : "GAP_TrueProperty","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsMonomialCharacter)"],"aka" : ["HasIsMonomialCharacter"]},{"name" : "Tester(IsMonomialNumber)","type" : "GAP_TrueProperty","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsMonomialNumber)"],"aka" : ["HasIsMonomialNumber"]},{"name" : "Tester(IsSubnormallyMonomial)","type" : "GAP_TrueProperty","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsSubnormallyMonomial)"],"aka" : ["HasIsSubnormallyMonomial"]},{"name" : "Tester(IsRelativelySM)","type" : "GAP_TrueProperty","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsRelativelySM)"],"aka" : ["HasIsRelativelySM"]},{"name" : "Tester(IsMinimalNonmonomial)","type" : "GAP_TrueProperty","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"implied" : ["Tester(IsMinimalNonmonomial)"],"aka" : ["HasIsMinimalNonmonomial"]},{"name" : "IsTableOfMarks","type" : "GAP_Category","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["IsTableOfMarks"],"aka" : ["IsTableOfMarks"]},{"name" : "Tester(IsAbelianTom)","type" : "GAP_TrueProperty","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["Tester(IsAbelianTom)"],"aka" : ["HasIsAbelianTom"]},{"name" : "Tester(IsCyclicTom)","type" : "GAP_TrueProperty","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["Tester(IsCyclicTom)"],"aka" : ["HasIsCyclicTom"]},{"name" : "Tester(IsNilpotentTom)","type" : "GAP_TrueProperty","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["Tester(IsNilpotentTom)"],"aka" : ["HasIsNilpotentTom"]},{"name" : "Tester(IsPerfectTom)","type" : "GAP_TrueProperty","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["Tester(IsPerfectTom)"],"aka" : ["HasIsPerfectTom"]},{"name" : "Tester(IsSolvableTom)","type" : "GAP_TrueProperty","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["Tester(IsSolvableTom)"],"aka" : ["HasIsSolvableTom"]},{"name" : "IsTableOfMarksWithGens","type" : "GAP_Filter","location" : {"line" : 1952,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"implied" : ["IsTableOfMarksWithGens"],"aka" : ["IsTableOfMarksWithGens"]},{"name" : "IsUnicodeString","type" : "GAP_Filter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsString","IsListOrCollection","IsConstantTimeAccessList","IsUnicodeString"],"aka" : ["IsUnicodeString"]},{"name" : "IsUnicodeCharacter","type" : "GAP_Filter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"},"implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsChar","IsCyclotomic","IsUnicodeCharacter"],"aka" : ["IsUnicodeCharacter"]},{"name" : "IsObjToBePrinted","type" : "GAP_Filter","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/PrintUtil.gd"},"implied" : ["IsObjToBePrinted"],"aka" : ["IsObjToBePrinted"]},{"name" : "IsEmptyRowVectorRep","type" : "GAP_Representation","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"implied" : ["IsList","IsPositionalObjectRep","IsListOrCollection","IsConstantTimeAccessList","IsEmptyRowVectorRep"],"aka" : ["IsEmptyRowVectorRep"]},{"name" : "IsNullMapMatrix","type" : "GAP_Representation","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","IsMultiplicativeElement","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVector","IsNullMapMatrix"],"aka" : ["IsNullMapMatrix"]},{"name" : "IsBlockMatrixRep","type" : "GAP_Representation","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"implied" : ["IsComponentObjectRep","IsBlockMatrixRep"],"aka" : ["IsBlockMatrixRep"]},{"name" : "IsDefaultGeneralMappingRep","type" : "GAP_Representation","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","Tester(Range)","Tester(Source)","IsDefaultGeneralMappingRep"],"aka" : ["IsDefaultGeneralMappingRep"]},{"name" : "IsMappingByFunctionRep","type" : "GAP_Representation","location" : {"line" : 487,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep"],"aka" : ["IsMappingByFunctionRep"]},{"name" : "IsMappingByFunctionWithInverseRep","type" : "GAP_Representation","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingByFunctionWithInverseRep"],"aka" : ["IsMappingByFunctionWithInverseRep"]},{"name" : "IsNonSPMappingByFunctionRep","type" : "GAP_Representation","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep","IsNonSPMappingByFunctionRep"],"aka" : ["IsNonSPMappingByFunctionRep"]},{"name" : "IsNonSPMappingByFunctionWithInverseRep","type" : "GAP_Representation","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingByFunctionWithInverseRep","IsNonSPMappingByFunctionRep","IsNonSPMappingByFunctionWithInverseRep"],"aka" : ["IsNonSPMappingByFunctionWithInverseRep"]},{"name" : "IsSPMappingByFunctionRep","type" : "GAP_Representation","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep","IsSPMappingByFunctionRep"],"aka" : ["IsSPMappingByFunctionRep"]},{"name" : "IsSPMappingByFunctionWithInverseRep","type" : "GAP_Representation","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingByFunctionWithInverseRep","IsSPMappingByFunctionRep","IsSPMappingByFunctionWithInverseRep"],"aka" : ["IsSPMappingByFunctionWithInverseRep"]},{"name" : "IsInverseGeneralMappingRep","type" : "GAP_Representation","location" : {"line" : 847,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping","IsInverseGeneralMappingRep"],"aka" : ["IsInverseGeneralMappingRep"]},{"name" : "IsBinaryRelationDefaultRep","type" : "GAP_Representation","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBinaryRelationDefaultRep"],"aka" : ["IsBinaryRelationDefaultRep"]},{"name" : "IsBinaryRelationOnPointsRep","type" : "GAP_Representation","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBinaryRelationOnPointsRep"],"aka" : ["IsBinaryRelationOnPointsRep"]},{"name" : "IsEquivalenceRelationDefaultRep","type" : "GAP_Representation","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsEquivalenceRelationDefaultRep"],"aka" : ["IsEquivalenceRelationDefaultRep"]},{"name" : "IsEquivalenceClassDefaultRep","type" : "GAP_Representation","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsEquivalenceClassDefaultRep"],"aka" : ["IsEquivalenceClassDefaultRep"]},{"name" : "IsRightTransversalRep","type" : "GAP_Representation","location" : {"line" : 2509,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep"],"aka" : ["IsRightTransversalRep"]},{"name" : "IsAdditiveCosetDefaultRep","type" : "GAP_Representation","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"implied" : ["IsPositionalObjectRep","IsAdditiveCosetDefaultRep"],"aka" : ["IsAdditiveCosetDefaultRep"]},{"name" : "IsRelativeBasisDefaultRep","type" : "GAP_Representation","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsRelativeBasisDefaultRep"],"aka" : ["IsRelativeBasisDefaultRep"]},{"name" : "IsBasisWithReplacedLeftModuleRep","type" : "GAP_Representation","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBasisWithReplacedLeftModuleRep"],"aka" : ["IsBasisWithReplacedLeftModuleRep"]},{"name" : "IsMutableBasisByImmutableBasisRep","type" : "GAP_Representation","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"implied" : ["IsComponentObjectRep","IsMutableBasisByImmutableBasisRep"],"aka" : ["IsMutableBasisByImmutableBasisRep"]},{"name" : "IsMutableBasisViaNiceMutableBasisRep","type" : "GAP_Representation","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"implied" : ["IsComponentObjectRep","IsMutableBasisViaNiceMutableBasisRep"],"aka" : ["IsMutableBasisViaNiceMutableBasisRep"]},{"name" : "IsSubspacesVectorSpaceDefaultRep","type" : "GAP_Representation","location" : {"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"implied" : ["IsComponentObjectRep","IsSubspacesVectorSpaceDefaultRep"],"aka" : ["IsSubspacesVectorSpaceDefaultRep"]},{"name" : "IsSemiEchelonBasisOfGaussianRowSpaceRep","type" : "GAP_Representation","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSemiEchelonBasisOfGaussianRowSpaceRep"],"aka" : ["IsSemiEchelonBasisOfGaussianRowSpaceRep"]},{"name" : "IsSubspacesFullRowSpaceDefaultRep","type" : "GAP_Representation","location" : {"line" : 1174,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"implied" : ["IsComponentObjectRep","IsSubspacesVectorSpaceDefaultRep","IsSubspacesFullRowSpaceDefaultRep"],"aka" : ["IsSubspacesFullRowSpaceDefaultRep"]},{"name" : "IsMutableBasisOfGaussianRowSpaceRep","type" : "GAP_Representation","location" : {"line" : 1389,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"implied" : ["IsComponentObjectRep","IsMutableBasisOfGaussianRowSpaceRep"],"aka" : ["IsMutableBasisOfGaussianRowSpaceRep"]},{"name" : "IsSemiEchelonBasisOfGaussianMatrixSpaceRep","type" : "GAP_Representation","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSemiEchelonBasisOfGaussianMatrixSpaceRep"],"aka" : ["IsSemiEchelonBasisOfGaussianMatrixSpaceRep"]},{"name" : "IsMutableBasisOfGaussianMatrixSpaceRep","type" : "GAP_Representation","location" : {"line" : 825,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"implied" : ["IsComponentObjectRep","IsMutableBasisOfGaussianMatrixSpaceRep"],"aka" : ["IsMutableBasisOfGaussianMatrixSpaceRep"]},{"name" : "IsLinearGeneralMappingByImagesDefaultRep","type" : "GAP_Representation","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLinearGeneralMappingByImagesDefaultRep"],"aka" : ["IsLinearGeneralMappingByImagesDefaultRep"]},{"name" : "IsLinearMappingByMatrixDefaultRep","type" : "GAP_Representation","location" : {"line" : 1082,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLinearMappingByMatrixDefaultRep"],"aka" : ["IsLinearMappingByMatrixDefaultRep"]},{"name" : "IsMagmaRingObjDefaultRep","type" : "GAP_Representation","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"implied" : ["IsPositionalObjectRep","IsMagmaRingObjDefaultRep"],"aka" : ["IsMagmaRingObjDefaultRep"]},{"name" : "IsCanonicalBasisFreeMagmaRingRep","type" : "GAP_Representation","location" : {"line" : 849,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFreeMagmaRingRep"],"aka" : ["IsCanonicalBasisFreeMagmaRingRep"]},{"name" : "IsEmbeddingRingMagmaRing","type" : "GAP_Representation","location" : {"line" : 1159,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","IsEmbeddingRingMagmaRing"],"aka" : ["IsEmbeddingRingMagmaRing"]},{"name" : "IsEmbeddingMagmaMagmaRing","type" : "GAP_Representation","location" : {"line" : 1257,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","IsEmbeddingMagmaMagmaRing"],"aka" : ["IsEmbeddingMagmaMagmaRing"]},{"name" : "IsAlgebraGeneralMappingByImagesDefaultRep","type" : "GAP_Representation","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep"],"aka" : ["IsAlgebraGeneralMappingByImagesDefaultRep"]},{"name" : "IsPolynomialRingDefaultGeneratorMapping","type" : "GAP_Representation","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep","IsPolynomialRingDefaultGeneratorMapping"],"aka" : ["IsPolynomialRingDefaultGeneratorMapping"]},{"name" : "IsOperationAlgebraHomomorphismDefaultRep","type" : "GAP_Representation","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsOperationAlgebraHomomorphismDefaultRep"],"aka" : ["IsOperationAlgebraHomomorphismDefaultRep"]},{"name" : "IsAlgebraHomomorphismFromFpRep","type" : "GAP_Representation","location" : {"line" : 950,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraHomomorphismFromFpRep"],"aka" : ["IsAlgebraHomomorphismFromFpRep"]},{"name" : "IsSpaceOfUEAElements","type" : "GAP_Filter","location" : {"line" : 3555,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsSpaceOfUEAElements"],"aka" : ["IsSpaceOfUEAElements"]},{"name" : "IsDenseCoeffVectorRep","type" : "GAP_Representation","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"implied" : ["IsPositionalObjectRep","IsDenseCoeffVectorRep"],"aka" : ["IsDenseCoeffVectorRep"]},{"name" : "IsLieEmbeddingRep","type" : "GAP_Representation","location" : {"line" : 403,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLieEmbeddingRep"],"aka" : ["IsLieEmbeddingRep"]},{"name" : "IsMutableBasisViaUnderlyingMutableBasisRep","type" : "GAP_Representation","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"implied" : ["IsComponentObjectRep","IsMutableBasisViaUnderlyingMutableBasisRep"],"aka" : ["IsMutableBasisViaUnderlyingMutableBasisRep"]},{"name" : "IsMonomialElementRep","type" : "GAP_Representation","location" : {"line" : 1323,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"implied" : ["IsPositionalObjectRep","IsMonomialElementRep"],"aka" : ["IsMonomialElementRep"]},{"name" : "IsBasisOfMonomialSpaceRep","type" : "GAP_Representation","location" : {"line" : 1601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"implied" : ["IsComponentObjectRep","IsBasisOfMonomialSpaceRep"],"aka" : ["IsBasisOfMonomialSpaceRep"]},{"name" : "IsBasisOfSparseRowSpaceRep","type" : "GAP_Representation","location" : {"line" : 2967,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"implied" : ["IsComponentObjectRep","IsBasisOfSparseRowSpaceRep"],"aka" : ["IsBasisOfSparseRowSpaceRep"]},{"name" : "IsZeroCochainRep","type" : "GAP_Representation","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"implied" : ["IsPositionalObjectRep","IsPackedElementDefaultRep","IsZeroCochainRep"],"aka" : ["IsZeroCochainRep"]},{"name" : "IsVectorSearchTableDefaultRep","type" : "GAP_Representation","location" : {"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSearchTable","IsVectorSearchTable","IsVectorSearchTableDefaultRep"],"aka" : ["IsVectorSearchTableDefaultRep"]},{"name" : "IsRingGeneralMappingByImagesDefaultRep","type" : "GAP_Representation","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"],"aka" : ["IsRingGeneralMappingByImagesDefaultRep"]},{"name" : "IsSCRingGeneralMappingByImagesDefaultRep","type" : "GAP_Representation","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep","IsSCRingGeneralMappingByImagesDefaultRep"],"aka" : ["IsSCRingGeneralMappingByImagesDefaultRep"]},{"name" : "IsAlgebraicExtensionDefaultRep","type" : "GAP_Representation","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsAlgebraicExtension","IsAlgebraicExtensionDefaultRep"],"aka" : ["IsAlgebraicExtensionDefaultRep"]},{"name" : "IsAlgBFRep","type" : "GAP_Representation","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"implied" : ["IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsAlgebraicElement","IsAlgBFRep"],"aka" : ["IsAlgBFRep"]},{"name" : "IsKroneckerConstRep","type" : "GAP_Representation","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"implied" : ["IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsAlgebraicElement","IsKroneckerConstRep"],"aka" : ["IsAlgExtRep","IsKroneckerConstRep"]},{"name" : "IsCanonicalBasisAlgebraicExtension","type" : "GAP_Representation","location" : {"line" : 935,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisAlgebraicExtension"],"aka" : ["IsCanonicalBasisAlgebraicExtension"]},{"name" : "IsUnknownDefaultRep","type" : "GAP_Representation","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"implied" : ["IsPositionalObjectRep","IsUnknownDefaultRep"],"aka" : ["IsUnknownDefaultRep"]},{"name" : "IsBasisFiniteFieldRep","type" : "GAP_Representation","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBasisFiniteFieldRep"],"aka" : ["IsBasisFiniteFieldRep"]},{"name" : "IsFrobeniusAutomorphism","type" : "GAP_Representation","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsFrobeniusAutomorphism"],"aka" : ["IsFrobeniusAutomorphism"]},{"name" : "IsModulusRep","type" : "GAP_Representation","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"implied" : ["IsPositionalObjectRep","IsModulusRep"],"aka" : ["IsModulusRep"]},{"name" : "IsCoeffsModConwayPolRep","type" : "GAP_Representation","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"implied" : ["IsPositionalObjectRep","IsCoeffsModConwayPolRep"],"aka" : ["IsCoeffsModConwayPolRep"]},{"name" : "IsCanonicalBasisRationals","type" : "GAP_Representation","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisRationals"],"aka" : ["IsCanonicalBasisRationals"]},{"name" : "IsCanonicalBasisGaussianIntegersRep","type" : "GAP_Representation","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisGaussianIntegersRep"],"aka" : ["IsCanonicalBasisGaussianIntegersRep"]},{"name" : "IsCanonicalBasisAbelianNumberFieldRep","type" : "GAP_Representation","location" : {"line" : 1178,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisAbelianNumberFieldRep"],"aka" : ["IsCanonicalBasisAbelianNumberFieldRep"]},{"name" : "IsCanonicalBasisCyclotomicFieldRep","type" : "GAP_Representation","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisAbelianNumberFieldRep","IsCanonicalBasisCyclotomicFieldRep"],"aka" : ["IsCanonicalBasisCyclotomicFieldRep"]},{"name" : "IsANFAutomorphismRep","type" : "GAP_Representation","location" : {"line" : 1769,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsANFAutomorphismRep"],"aka" : ["IsANFAutomorphismRep"]},{"name" : "IsLockedRepresentationVector","type" : "GAP_Filter","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"implied" : ["IsLockedRepresentationVector"],"aka" : ["IsLockedRepresentationVector"]},{"name" : "IsBracketRep","type" : "GAP_Representation","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"implied" : ["IsPositionalObjectRep","IsBracketRep"],"aka" : ["IsBracketRep"]},{"name" : "Is8BitsAssocWord","type" : "GAP_Representation","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsDataObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","Is8BitsAssocWord"],"aka" : ["Is8BitsAssocWord"]},{"name" : "Is16BitsAssocWord","type" : "GAP_Representation","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsDataObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","Is16BitsAssocWord"],"aka" : ["Is16BitsAssocWord"]},{"name" : "Is32BitsAssocWord","type" : "GAP_Representation","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsDataObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","Is32BitsAssocWord"],"aka" : ["Is32BitsAssocWord"]},{"name" : "IsInfBitsAssocWord","type" : "GAP_Representation","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","IsInfBitsAssocWord"],"aka" : ["IsInfBitsAssocWord"]},{"name" : "IsInfiniteListOfNamesRep","type" : "GAP_Representation","location" : {"line" : 1079,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsPositionalObjectRep","IsInfiniteListOfNamesRep"],"aka" : ["IsInfiniteListOfNamesRep"]},{"name" : "IsInfiniteListOfGeneratorsRep","type" : "GAP_Representation","location" : {"line" : 1202,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"implied" : ["IsPositionalObjectRep","IsInfiniteListOfGeneratorsRep"],"aka" : ["IsInfiniteListOfGeneratorsRep"]},{"name" : "IsSingleCollectorRep","type" : "GAP_Representation","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"implied" : ["IsPositionalObjectRep","IsSingleCollectorRep"],"aka" : ["IsSingleCollectorRep"]},{"name" : "Is8BitsSingleCollectorRep","type" : "GAP_Representation","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"implied" : ["IsPositionalObjectRep","IsSingleCollectorRep","Is8BitsSingleCollectorRep"],"aka" : ["Is8BitsSingleCollectorRep"]},{"name" : "Is16BitsSingleCollectorRep","type" : "GAP_Representation","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"implied" : ["IsPositionalObjectRep","IsSingleCollectorRep","Is16BitsSingleCollectorRep"],"aka" : ["Is16BitsSingleCollectorRep"]},{"name" : "Is32BitsSingleCollectorRep","type" : "GAP_Representation","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"implied" : ["IsPositionalObjectRep","IsSingleCollectorRep","Is32BitsSingleCollectorRep"],"aka" : ["Is32BitsSingleCollectorRep"]},{"name" : "IsDefaultRhsTypeSingleCollector","type" : "GAP_Filter","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"implied" : ["IsDefaultRhsTypeSingleCollector"],"aka" : ["IsDefaultRhsTypeSingleCollector"]},{"name" : "IsCombinatorialCollectorRep","type" : "GAP_Representation","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"implied" : ["IsPositionalObjectRep","IsSingleCollectorRep","IsCombinatorialCollectorRep"],"aka" : ["IsCombinatorialCollectorRep"]},{"name" : "IsNBitsPcWordRep","type" : "GAP_Representation","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"implied" : ["IsDataObjectRep","IsNBitsPcWordRep"],"aka" : ["IsNBitsPcWordRep"]},{"name" : "Is8BitsPcWordRep","type" : "GAP_Representation","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"implied" : ["IsDataObjectRep","IsKernelPcWord","IsNBitsPcWordRep","Is8BitsPcWordRep"],"aka" : ["Is8BitsPcWordRep"]},{"name" : "Is16BitsPcWordRep","type" : "GAP_Representation","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"implied" : ["IsDataObjectRep","IsKernelPcWord","IsNBitsPcWordRep","Is16BitsPcWordRep"],"aka" : ["Is16BitsPcWordRep"]},{"name" : "Is32BitsPcWordRep","type" : "GAP_Representation","location" : {"line" : 701,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"implied" : ["IsDataObjectRep","IsKernelPcWord","IsNBitsPcWordRep","Is32BitsPcWordRep"],"aka" : ["Is32BitsPcWordRep"]},{"name" : "IsDeepThoughtCollectorRep","type" : "GAP_Representation","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"implied" : ["IsPositionalObjectRep","IsDeepThoughtCollectorRep"],"aka" : ["IsDeepThoughtCollectorRep"]},{"name" : "IsEnumeratorByPcgsRep","type" : "GAP_Representation","location" : {"line" : 1253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsEnumeratorByPcgsRep"],"aka" : ["IsEnumeratorByPcgsRep"]},{"name" : "IsPcgsByPcgsRep","type" : "GAP_Representation","location" : {"line" : 1665,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)","IsPcgsByPcgsRep"],"aka" : ["IsPcgsByPcgsRep"]},{"name" : "IsInducedPcgsRep","type" : "GAP_Representation","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsInducedPcgsRep"],"aka" : ["IsInducedPcgsRep"]},{"name" : "IsSubsetInducedPcgsRep","type" : "GAP_Representation","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsInducedPcgsRep","IsSubsetInducedPcgsRep"],"aka" : ["IsSubsetInducedPcgsRep"]},{"name" : "IsTailInducedPcgsRep","type" : "GAP_Representation","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsInducedPcgsRep","IsSubsetInducedPcgsRep","IsTailInducedPcgsRep"],"aka" : ["IsTailInducedPcgsRep"]},{"name" : "IsModuloPcgsRep","type" : "GAP_Representation","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep"],"aka" : ["IsModuloPcgsRep"]},{"name" : "IsModuloTailPcgsRep","type" : "GAP_Representation","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep"],"aka" : ["IsModuloTailPcgsRep"]},{"name" : "IsSubsetInducedNumeratorModuloTailPcgsRep","type" : "GAP_Representation","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep","IsSubsetInducedNumeratorModuloTailPcgsRep"],"aka" : ["IsSubsetInducedNumeratorModuloTailPcgsRep"]},{"name" : "IsModuloTailPcgsByListRep","type" : "GAP_Representation","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep","IsModuloTailPcgsByListRep"],"aka" : ["IsModuloTailPcgsByListRep"]},{"name" : "IsNumeratorParentForExponentsRep","type" : "GAP_Representation","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsNumeratorParentForExponentsRep"],"aka" : ["IsNumeratorParentForExponentsRep"]},{"name" : "IsNumeratorParentLayersForExponentsRep","type" : "GAP_Representation","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsNumeratorParentLayersForExponentsRep"],"aka" : ["IsNumeratorParentLayersForExponentsRep"]},{"name" : "IsUnsortedPcgsRep","type" : "GAP_Representation","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsUnsortedPcgsRep"],"aka" : ["IsUnsortedPcgsRep"]},{"name" : "IsSortedPcgsRep","type" : "GAP_Representation","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsUnsortedPcgsRep","IsSortedPcgsRep"],"aka" : ["IsSortedPcgsRep"]},{"name" : "IsMemberPcSeriesPermGroup","type" : "GAP_Representation","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"implied" : ["IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","CanEasilyCompareElements","Tester(CanEasilyCompareElements)","CanEasilySortElements","Tester(CanEasilySortElements)","CanComputeSize","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsFiniteOrderElement)","IsGeneralizedDomain","CategoryCollections(IsPerm)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsCompletelySimpleSemigroup","Tester(IsCompletelySimpleSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsFinitelyGeneratedGroup","Tester(IsFinitelyGeneratedGroup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)","CanEasilyTestMembership","CanComputeSizeAnySubgroup","KnowsHowToDecompose","Tester(KnowsHowToDecompose)","CanComputeFittingFree","IsMemberPcSeriesPermGroup"],"aka" : ["IsMemberPcSeriesPermGroup"]},{"name" : "IsMagmaByMultiplicationTableObj","type" : "GAP_Representation","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMagmaByMultiplicationTableObj"],"aka" : ["IsMagmaByMultiplicationTableObj"]},{"name" : "IsPcgsDirectProductRep","type" : "GAP_Representation","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsPcgsDirectProductRep"],"aka" : ["IsPcgsDirectProductRep"]},{"name" : "IsBlocksOfActionHomomorphism","type" : "GAP_Representation","location" : {"line" : 1806,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByBase","IsBlocksOfActionHomomorphism"],"aka" : ["IsBlocksOfActionHomomorphism"]},{"name" : "IsEmbeddingDirectProductPermGroup","type" : "GAP_Representation","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingDirectProductPermGroup"],"aka" : ["IsEmbeddingDirectProductPermGroup"]},{"name" : "IsEmbeddingWreathProductPermGroup","type" : "GAP_Representation","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingWreathProductPermGroup"],"aka" : ["IsEmbeddingWreathProductPermGroup"]},{"name" : "IsEmbeddingImprimitiveWreathProductPermGroup","type" : "GAP_Representation","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingWreathProductPermGroup","IsEmbeddingImprimitiveWreathProductPermGroup"],"aka" : ["IsEmbeddingImprimitiveWreathProductPermGroup"]},{"name" : "IsEmbeddingProductActionWreathProductPermGroup","type" : "GAP_Representation","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsGroupGeneralMappingByAsGroupGeneralMappingByImages","IsEmbeddingWreathProductPermGroup","IsEmbeddingProductActionWreathProductPermGroup"],"aka" : ["IsEmbeddingProductActionWreathProductPermGroup"]},{"name" : "IsProjectionDirectProductPermGroup","type" : "GAP_Representation","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsProjectionDirectProductPermGroup"],"aka" : ["IsProjectionDirectProductPermGroup"]},{"name" : "IsProjectionSubdirectProductPermGroup","type" : "GAP_Representation","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsProjectionSubdirectProductPermGroup"],"aka" : ["IsProjectionSubdirectProductPermGroup"]},{"name" : "IsEmbeddingDirectProductMatrixGroup","type" : "GAP_Representation","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingDirectProductMatrixGroup"],"aka" : ["IsEmbeddingDirectProductMatrixGroup"]},{"name" : "IsProjectionDirectProductMatrixGroup","type" : "GAP_Representation","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsProjectionDirectProductMatrixGroup"],"aka" : ["IsProjectionDirectProductMatrixGroup"]},{"name" : "IsEmbeddingImprimitiveWreathProductMatrixGroup","type" : "GAP_Representation","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingImprimitiveWreathProductMatrixGroup"],"aka" : ["IsEmbeddingImprimitiveWreathProductMatrixGroup"]},{"name" : "IsSlicedPerm","type" : "GAP_Representation","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement","IsSlicedPerm"],"aka" : ["IsSlicedPerm"]},{"name" : "IsSlicedPermInv","type" : "GAP_Representation","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement","IsSlicedPermInv"],"aka" : ["IsSlicedPermInv"]},{"name" : "IsRightCosetDefaultRep","type" : "GAP_Representation","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsRightCoset","IsRightCosetDefaultRep"],"aka" : ["IsRightCosetDefaultRep"]},{"name" : "IsDoubleCosetDefaultRep","type" : "GAP_Representation","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsExtRSet","IsDoubleCoset","IsDoubleCosetDefaultRep"],"aka" : ["IsDoubleCosetDefaultRep"]},{"name" : "IsRightTransversalViaCosetsRep","type" : "GAP_Representation","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalViaCosetsRep"],"aka" : ["IsRightTransversalViaCosetsRep"]},{"name" : "IsFactoredTransversalRep","type" : "GAP_Representation","location" : {"line" : 1168,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsFactoredTransversalRep"],"aka" : ["IsFactoredTransversalRep"]},{"name" : "IsRightTransversalPermGroupRep","type" : "GAP_Representation","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalPermGroupRep"],"aka" : ["IsRightTransversalPermGroupRep"]},{"name" : "IsRightTransversalPcGroupRep","type" : "GAP_Representation","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalPcGroupRep"],"aka" : ["IsRightTransversalPcGroupRep"]},{"name" : "IsEnumeratorByNiceomorphismRep","type" : "GAP_Representation","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsEnumeratorByNiceomorphismRep"],"aka" : ["IsEnumeratorByNiceomorphismRep"]},{"name" : "IsActionHomomorphismAutomGroup","type" : "GAP_Representation","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByBase","IsActionHomomorphismAutomGroup"],"aka" : ["IsActionHomomorphismAutomGroup"]},{"name" : "IsBlowUpIsomorphism","type" : "GAP_Filter","location" : {"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsBlowUpIsomorphism"],"aka" : ["IsBlowUpIsomorphism"]},{"name" : "IsRightTransversalFpGroupRep","type" : "GAP_Representation","location" : {"line" : 5131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalFpGroupRep"],"aka" : ["IsRightTransversalFpGroupRep"]},{"name" : "IsPresentationDefaultRep","type" : "GAP_Representation","location" : {"line" : 1381,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPresentationDefaultRep"],"aka" : ["IsPresentationDefaultRep"]},{"name" : "IsModuloPcgsFpGroupRep","type" : "GAP_Representation","location" : {"line" : 1135,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs","IsPcgsDefaultRep","IsModuloPcgsFpGroupRep"],"aka" : ["IsModuloPcgsFpGroupRep"]},{"name" : "IsTransformationRepOfEndo","type" : "GAP_Representation","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsTransformationRepOfEndo"],"aka" : ["IsTransformationRepOfEndo"]},{"name" : "IsKnuthBendixRewritingSystemRep","type" : "GAP_Representation","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"implied" : ["IsComponentObjectRep","IsKnuthBendixRewritingSystemRep"],"aka" : ["IsKnuthBendixRewritingSystemRep"]},{"name" : "IsFloatPseudoField","type" : "GAP_Category","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFloatPseudoField"],"aka" : ["IsFloatPseudoField"]},{"name" : "IsFloatRationalFunction","type" : "GAP_Category","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsFloatRationalFunction"],"aka" : ["IsFloatRationalFunction"]},{"name" : "IsIEEE754PseudoField","type" : "GAP_Category","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFloatPseudoField","IsIEEE754PseudoField"],"aka" : ["IsIEEE754PseudoField"]},{"name" : "Tester(IsPrimitiveMatrixGroup)","type" : "GAP_TrueProperty","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"implied" : ["Tester(IsPrimitiveMatrixGroup)"],"aka" : ["HasIsLinearlyPrimitive","HasIsPrimitiveMatrixGroup"]},{"name" : "IsPrimGrpIterRep","type" : "GAP_Representation","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"implied" : ["IsComponentObjectRep","IsPrimGrpIterRep"],"aka" : ["IsPrimGrpIterRep"]},{"name" : "IsFile","type" : "GAP_Category","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"implied" : ["IsFile"],"aka" : ["IsFile"]},{"name" : "IO_Result","type" : "GAP_Category","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"implied" : ["IsComponentObjectRep","IO_Result"],"aka" : ["IO_Result"]},{"name" : "IsRealRandomSource","type" : "GAP_Representation","location" : {"line" : 13,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gd"},"implied" : ["IsComponentObjectRep","IsRandomSource","IsRealRandomSource"],"aka" : ["IsRealRandomSource"]},{"name" : "IsBackgroundJob","type" : "GAP_Category","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBackgroundJob"],"aka" : ["IsBackgroundJob"]},{"name" : "IsBackgroundJobByFork","type" : "GAP_Representation","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBackgroundJob","IsBackgroundJobByFork"],"aka" : ["IsBackgroundJobByFork"]},{"name" : "IsWorkerFarm","type" : "GAP_Category","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsWorkerFarm"],"aka" : ["IsWorkerFarm"]},{"name" : "IsWorkerFarmByFork","type" : "GAP_Representation","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsWorkerFarm","IsWorkerFarmByFork"],"aka" : ["IsWorkerFarmByFork"]},{"name" : "IsIOHubCat","type" : "GAP_Category","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"},"implied" : ["IsComponentObjectRep","IsIOHubCat"],"aka" : ["IsIOHubCat"]},{"name" : "IsIOHub","type" : "GAP_Representation","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"},"implied" : ["IsComponentObjectRep","IsIOHubCat","IsIOHub"],"aka" : ["IsIOHub"]},{"name" : "Name","type" : "GAP_Attribute","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : ["IsObject"],"aka" : ["Name","SimsName"]},{"name" : "InfoText","type" : "GAP_Attribute","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : ["IsObject"],"aka" : ["InfoText"]},{"name" : "String","type" : "GAP_Attribute","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : ["IsObject"],"aka" : ["String"]},{"name" : "IsImpossible","type" : "GAP_Attribute","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : ["IsObject"],"aka" : ["IsImpossible"]},{"name" : "CollectionsFamily","type" : "GAP_Attribute","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsFamily"],"aka" : ["CollectionsFamily"]},{"name" : "ElementsFamily","type" : "GAP_Attribute","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsFamily"],"aka" : ["ElementsFamily"]},{"name" : "IsEmpty","type" : "GAP_Property","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["IsEmpty"]},{"name" : "IsTrivial","type" : "GAP_Property","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["IsTrivial"]},{"name" : "IsNonTrivial","type" : "GAP_Property","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["IsNonTrivial"]},{"name" : "IsFinite","type" : "GAP_Property","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["IsFinite"]},{"name" : "IsWholeFamily","type" : "GAP_Property","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["IsWholeFamily"]},{"name" : "Size","type" : "GAP_Attribute","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["Size"]},{"name" : "Representative","type" : "GAP_Attribute","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["Representative"]},{"name" : "RepresentativeSmallest","type" : "GAP_Attribute","location" : {"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["RepresentativeSmallest"]},{"name" : "PseudoRandomSeed","type" : "GAP_Attribute","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["PseudoRandomSeed"]},{"name" : "Enumerator","type" : "GAP_Attribute","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["Enumerator"]},{"name" : "EnumeratorSorted","type" : "GAP_Attribute","location" : {"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["EnumeratorSorted"]},{"name" : "UnderlyingCollection","type" : "GAP_Attribute","location" : {"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["UnderlyingCollection"]},{"name" : "AsList","type" : "GAP_Attribute","location" : {"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["AsList"]},{"name" : "AsSortedList","type" : "GAP_Attribute","location" : {"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["AsSortedList"]},{"name" : "AsSSortedList","type" : "GAP_Attribute","location" : {"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsListOrCollection"],"aka" : ["AsSSortedList","AsSet"]},{"name" : "CanEasilyCompareElements","type" : "GAP_Property","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsObject"],"aka" : ["CanEasilyCompareElements"]},{"name" : "CanEasilySortElements","type" : "GAP_Property","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsObject"],"aka" : ["CanEasilySortElements"]},{"name" : "RandomizerAttr","type" : "GAP_Attribute","location" : {"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["RandomizerAttr"]},{"name" : "CheapRandomizerAttr","type" : "GAP_Attribute","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : ["IsCollection"],"aka" : ["CheapRandomizerAttr"]},{"name" : "IsSmallList","type" : "GAP_Property","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["IsSmallList"]},{"name" : "Length","type" : "GAP_Attribute","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["LENGTH","Length"]},{"name" : "ConstantTimeAccessList","type" : "GAP_Attribute","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["ConstantTimeAccessList"]},{"name" : "IsSortedList","type" : "GAP_Property","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["IsSortedList"]},{"name" : "IsSSortedList","type" : "GAP_Property","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["IS_SSORT_LIST","IsSSortedList","IsSet"]},{"name" : "IsNSortedList","type" : "GAP_Property","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsDenseList"],"aka" : ["IS_NSORT_LIST","IsNSortedList"]},{"name" : "IsDuplicateFree","type" : "GAP_Property","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsListOrCollection"],"aka" : ["IsDuplicateFree"]},{"name" : "IsPositionsList","type" : "GAP_Property","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsDenseList"],"aka" : ["IS_POSS_LIST","IsPositionsList"]},{"name" : "AsDuplicateFreeList","type" : "GAP_Attribute","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["AsDuplicateFreeList"]},{"name" : "SortingPerm","type" : "GAP_Attribute","location" : {"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : ["IsList"],"aka" : ["SortingPerm"]},{"name" : "NestingDepthA","type" : "GAP_Attribute","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsObject"],"aka" : ["NestingDepthA"]},{"name" : "NestingDepthM","type" : "GAP_Attribute","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsObject"],"aka" : ["NestingDepthM"]},{"name" : "IsZero","type" : "GAP_Property","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsNearAdditiveElementWithZero","IsAdditiveElement"],"aka" : ["IsZero"]},{"name" : "IsOne","type" : "GAP_Property","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsMultiplicativeElementWithOne"],"aka" : ["IsOne"]},{"name" : "ZeroImmutable","type" : "GAP_Attribute","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsNearAdditiveElementWithZero","IsAdditiveElement"],"aka" : ["Zero","ZeroAttr","ZeroImmutable"]},{"name" : "AdditiveInverseImmutable","type" : "GAP_Attribute","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement"],"aka" : ["AdditiveInverse","AdditiveInverseAttr","AdditiveInverseImmutable"]},{"name" : "OneImmutable","type" : "GAP_Attribute","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsMultiplicativeElementWithOne"],"aka" : ["Identity","One","OneAttr","OneImmutable"]},{"name" : "InverseImmutable","type" : "GAP_Attribute","location" : {"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsMultiplicativeElementWithInverse"],"aka" : ["Inverse","InverseAttr","InverseImmutable"]},{"name" : "Int","type" : "GAP_Attribute","location" : {"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsObject"],"aka" : ["Int"]},{"name" : "Rat","type" : "GAP_Attribute","location" : {"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsObject"],"aka" : ["Rat"]},{"name" : "Characteristic","type" : "GAP_Attribute","location" : {"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsObject"],"aka" : ["Characteristic"]},{"name" : "Order","type" : "GAP_Attribute","location" : {"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsMultiplicativeElementWithOne"],"aka" : ["Order"]},{"name" : "NormedRowVector","type" : "GAP_Attribute","location" : {"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsHomogeneousList","IsOddAdditiveNestingDepthObject","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithInverse)"],"aka" : ["NormedRowVector"]},{"name" : "IsCommutativeFamily","type" : "GAP_Property","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsFamily"],"aka" : ["IsCommutativeFamily"]},{"name" : "IsSkewFieldFamily","type" : "GAP_Property","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsFamily"],"aka" : ["IsSkewFieldFamily"]},{"name" : "IsUFDFamily","type" : "GAP_Property","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsFamily"],"aka" : ["IsUFDFamily"]},{"name" : "AdditiveElementsAsMultiplicativeElementsFamily","type" : "GAP_Attribute","location" : {"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsFamily"],"aka" : ["AdditiveElementsAsMultiplicativeElementsFamily"]},{"name" : "AdditiveElementAsMultiplicativeElement","type" : "GAP_Attribute","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsAdditiveElement"],"aka" : ["AdditiveElementAsMultiplicativeElement"]},{"name" : "IsIdempotent","type" : "GAP_Property","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : ["IsMultiplicativeElement"],"aka" : ["IsIdempotent"]},{"name" : "DegreeFFE","type" : "GAP_Attribute","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : ["IsFFE"],"aka" : ["DegreeFFE"]},{"name" : "IntFFE","type" : "GAP_Attribute","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : ["IsFFE"],"aka" : ["IntFFE"]},{"name" : "IntFFESymm","type" : "GAP_Attribute","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : ["IsFFE"],"aka" : ["IntFFESymm"]},{"name" : "AsInternalFFE","type" : "GAP_Attribute","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : ["IsFFE"],"aka" : ["AsInternalFFE"]},{"name" : "GeneratorsOfDomain","type" : "GAP_Attribute","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : ["IsGeneralizedDomain","IsCollection"],"aka" : ["GeneratorsOfDomain"]},{"name" : "ParentAttr","type" : "GAP_Attribute","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : ["IsGeneralizedDomain","IsCollection"],"aka" : ["AssociatedSemigroup","ParentAttr"]},{"name" : "IsIntegralCyclotomic","type" : "GAP_Property","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : ["IsObject"],"aka" : ["IsCycInt","IsIntegralCyclotomic"]},{"name" : "Conductor","type" : "GAP_Attribute","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : ["IsCyc"],"aka" : ["CONDUCTOR","Conductor"]},{"name" : "RecNames","type" : "GAP_Attribute","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : ["IsRecord"],"aka" : ["RecFields","RecNames"]},{"name" : "IsRectangularTable","type" : "GAP_Property","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"filters" : ["IsList"],"aka" : ["IsRectangularTable"]},{"name" : "SmallestGeneratorPerm","type" : "GAP_Attribute","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["SmallestGeneratorPerm"]},{"name" : "SmallestMovedPoint","type" : "GAP_Attribute","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["SmallestMovedPoint","SmallestMovedPointPerm"]},{"name" : "LargestMovedPoint","type" : "GAP_Attribute","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["LargestMovedPoint","LargestMovedPointPerm"]},{"name" : "NrMovedPoints","type" : "GAP_Attribute","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["DegreeAction","DegreeOperation","NrMovedPoints","NrMovedPointsPerm"]},{"name" : "MovedPoints","type" : "GAP_Attribute","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["MovedPoints"]},{"name" : "SignPerm","type" : "GAP_Attribute","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["SignPerm"]},{"name" : "CycleStructurePerm","type" : "GAP_Attribute","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : ["IsPerm"],"aka" : ["CycleStructurePerm"]},{"name" : "Cos","type" : "GAP_Attribute","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Cos"]},{"name" : "Sin","type" : "GAP_Attribute","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Sin"]},{"name" : "Tan","type" : "GAP_Attribute","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Tan"]},{"name" : "Sec","type" : "GAP_Attribute","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Sec"]},{"name" : "Csc","type" : "GAP_Attribute","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Csc"]},{"name" : "Cot","type" : "GAP_Attribute","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Cot"]},{"name" : "Asin","type" : "GAP_Attribute","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Asin"]},{"name" : "Acos","type" : "GAP_Attribute","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Acos"]},{"name" : "Atan","type" : "GAP_Attribute","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Atan"]},{"name" : "Cosh","type" : "GAP_Attribute","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Cosh"]},{"name" : "Sinh","type" : "GAP_Attribute","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Sinh"]},{"name" : "Tanh","type" : "GAP_Attribute","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Tanh"]},{"name" : "Sech","type" : "GAP_Attribute","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Sech"]},{"name" : "Csch","type" : "GAP_Attribute","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Csch"]},{"name" : "Coth","type" : "GAP_Attribute","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Coth"]},{"name" : "Asinh","type" : "GAP_Attribute","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Asinh"]},{"name" : "Acosh","type" : "GAP_Attribute","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Acosh"]},{"name" : "Atanh","type" : "GAP_Attribute","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Atanh"]},{"name" : "Log2","type" : "GAP_Attribute","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Log2"]},{"name" : "Log10","type" : "GAP_Attribute","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Log10"]},{"name" : "Log1p","type" : "GAP_Attribute","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Log1p"]},{"name" : "Exp","type" : "GAP_Attribute","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Exp"]},{"name" : "Exp2","type" : "GAP_Attribute","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Exp2"]},{"name" : "Exp10","type" : "GAP_Attribute","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Exp10"]},{"name" : "Expm1","type" : "GAP_Attribute","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Expm1"]},{"name" : "CubeRoot","type" : "GAP_Attribute","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["CubeRoot"]},{"name" : "Square","type" : "GAP_Attribute","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Square"]},{"name" : "Ceil","type" : "GAP_Attribute","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Ceil"]},{"name" : "Floor","type" : "GAP_Attribute","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Floor"]},{"name" : "Round","type" : "GAP_Attribute","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Round"]},{"name" : "Trunc","type" : "GAP_Attribute","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Trunc"]},{"name" : "FrExp","type" : "GAP_Attribute","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["FrExp"]},{"name" : "Argument","type" : "GAP_Attribute","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Argument"]},{"name" : "AbsoluteValue","type" : "GAP_Attribute","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["AbsoluteValue"]},{"name" : "Frac","type" : "GAP_Attribute","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Frac"]},{"name" : "SinCos","type" : "GAP_Attribute","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["SinCos"]},{"name" : "Erf","type" : "GAP_Attribute","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Erf"]},{"name" : "Zeta","type" : "GAP_Attribute","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Zeta"]},{"name" : "Gamma","type" : "GAP_Attribute","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Gamma"]},{"name" : "ComplexI","type" : "GAP_Attribute","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["ComplexI"]},{"name" : "PrecisionFloat","type" : "GAP_Attribute","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["PrecisionFloat"]},{"name" : "SignFloat","type" : "GAP_Attribute","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["SignFloat"]},{"name" : "Sup","type" : "GAP_Attribute","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Sup"]},{"name" : "Inf","type" : "GAP_Attribute","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Inf"]},{"name" : "Mid","type" : "GAP_Attribute","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["Mid"]},{"name" : "AbsoluteDiameter","type" : "GAP_Attribute","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["AbsoluteDiameter"]},{"name" : "RelativeDiameter","type" : "GAP_Attribute","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["RelativeDiameter"]},{"name" : "IsPInfinity","type" : "GAP_Property","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["IsPInfinity"]},{"name" : "IsNInfinity","type" : "GAP_Property","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["IsNInfinity"]},{"name" : "IsXInfinity","type" : "GAP_Property","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["IsXInfinity"]},{"name" : "IsNaN","type" : "GAP_Property","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : ["IsFloat"],"aka" : ["IsNaN"]},{"name" : "ComponentsOfDirectProductElementsFamily","type" : "GAP_Attribute","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"filters" : ["CategoryFamily(IsDirectProductElement)"],"aka" : ["ComponentsOfDirectProductElementsFamily"]},{"name" : "EmptyRowVector","type" : "GAP_Attribute","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"},"filters" : ["IsFamily"],"aka" : ["EmptyRowVector"]},{"name" : "GeneratorsOfExtASet","type" : "GAP_Attribute","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : ["IsExtASet"],"aka" : ["GeneratorsOfExtASet"]},{"name" : "AdditivelyActingDomain","type" : "GAP_Attribute","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : ["IsExtASet"],"aka" : ["AdditivelyActingDomain"]},{"name" : "IsLeftActedOnByDivisionRing","type" : "GAP_Property","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : ["IsExtLSet","IsLeftActedOnByRing"],"aka" : ["IsLeftActedOnByDivisionRing"]},{"name" : "GeneratorsOfExtLSet","type" : "GAP_Attribute","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : ["IsExtLSet"],"aka" : ["GeneratorsOfExtLSet","GeneratorsOfLeftMagmaIdeal"]},{"name" : "LeftActingDomain","type" : "GAP_Attribute","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : ["IsExtLSet"],"aka" : ["LeftActingDomain"]},{"name" : "GeneratorsOfExtRSet","type" : "GAP_Attribute","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : ["IsExtRSet"],"aka" : ["GeneratorsOfExtRSet","GeneratorsOfRightMagmaIdeal"]},{"name" : "RightActingDomain","type" : "GAP_Attribute","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : ["IsExtRSet"],"aka" : ["RightActingDomain"]},{"name" : "GeneratorsOfExtUSet","type" : "GAP_Attribute","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : ["IsExtUSet"],"aka" : ["GeneratorsOfExtUSet"]},{"name" : "UpperActingDomain","type" : "GAP_Attribute","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : ["IsExtRSet"],"aka" : ["UpperActingDomain"]},{"name" : "FamilyRange","type" : "GAP_Attribute","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["CategoryFamily(IsGeneralMapping)"],"aka" : ["FamilyRange"]},{"name" : "FamilySource","type" : "GAP_Attribute","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["CategoryFamily(IsGeneralMapping)"],"aka" : ["FamilySource"]},{"name" : "FamiliesOfGeneralMappingsAndRanges","type" : "GAP_Attribute","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsFamily"],"aka" : ["FamiliesOfGeneralMappingsAndRanges"]},{"name" : "IsConstantTimeAccessGeneralMapping","type" : "GAP_Property","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsConstantTimeAccessGeneralMapping"]},{"name" : "IsEndoGeneralMapping","type" : "GAP_Property","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsBinaryRelation","IsEndoGeneralMapping"]},{"name" : "IsTotal","type" : "GAP_Property","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsTotal"]},{"name" : "IsSingleValued","type" : "GAP_Property","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsSingleValued"]},{"name" : "IsInjective","type" : "GAP_Property","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsInjective","IsOneToOne"]},{"name" : "IsSurjective","type" : "GAP_Property","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsOnto","IsSurjective"]},{"name" : "Range","type" : "GAP_Attribute","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["Range"]},{"name" : "Source","type" : "GAP_Attribute","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["Source","UnderlyingDomainOfBinaryRelation"]},{"name" : "UnderlyingRelation","type" : "GAP_Attribute","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["UnderlyingRelation"]},{"name" : "UnderlyingGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsCollection"],"aka" : ["UnderlyingGeneralMapping"]},{"name" : "IdentityMapping","type" : "GAP_Attribute","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsCollection"],"aka" : ["IdentityMapping"]},{"name" : "InverseGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["InverseGeneralMapping"]},{"name" : "ImagesSource","type" : "GAP_Attribute","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["ImagesSource"]},{"name" : "PreImagesRange","type" : "GAP_Attribute","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["PreImagesRange"]},{"name" : "MappingGeneratorsImages","type" : "GAP_Attribute","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["MappingGeneratorsImages"]},{"name" : "RespectsMultiplication","type" : "GAP_Property","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsMultiplication"]},{"name" : "RespectsOne","type" : "GAP_Property","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsOne"]},{"name" : "RespectsInverses","type" : "GAP_Property","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsInverses"]},{"name" : "KernelOfMultiplicativeGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["KernelOfMultiplicativeGeneralMapping"]},{"name" : "CoKernelOfMultiplicativeGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["CoKernelOfMultiplicativeGeneralMapping"]},{"name" : "RespectsAddition","type" : "GAP_Property","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsAddition"]},{"name" : "RespectsZero","type" : "GAP_Property","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsZero"]},{"name" : "RespectsAdditiveInverses","type" : "GAP_Property","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsAdditiveInverses"]},{"name" : "KernelOfAdditiveGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["KernelOfAdditiveGeneralMapping"]},{"name" : "CoKernelOfAdditiveGeneralMapping","type" : "GAP_Attribute","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["CoKernelOfAdditiveGeneralMapping"]},{"name" : "RespectsScalarMultiplication","type" : "GAP_Property","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["RespectsScalarMultiplication"]},{"name" : "IsFieldHomomorphism","type" : "GAP_Property","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsFieldHomomorphism"]},{"name" : "TransformsMultiplicationIntoAddition","type" : "GAP_Property","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TransformsMultiplicationIntoAddition"]},{"name" : "TranformsOneIntoZero","type" : "GAP_Property","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TranformsOneIntoZero"]},{"name" : "TransformsInversesIntoAdditiveInverses","type" : "GAP_Property","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TransformsInversesIntoAdditiveInverses"]},{"name" : "TransformsAdditionIntoMultiplication","type" : "GAP_Property","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TransformsAdditionIntoMultiplication"]},{"name" : "TransformsZeroIntoOne","type" : "GAP_Property","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TransformsZeroIntoOne"]},{"name" : "TransformsAdditiveInversesIntoInverses","type" : "GAP_Property","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["TransformsAdditiveInversesIntoInverses"]},{"name" : "Successors","type" : "GAP_Attribute","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["ImagesListOfBinaryRelation","Successors"]},{"name" : "DegreeOfBinaryRelation","type" : "GAP_Attribute","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["DegreeOfBinaryRelation"]},{"name" : "IsReflexiveBinaryRelation","type" : "GAP_Property","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsReflexiveBinaryRelation"]},{"name" : "IsSymmetricBinaryRelation","type" : "GAP_Property","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsSymmetricBinaryRelation"]},{"name" : "IsTransitiveBinaryRelation","type" : "GAP_Property","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsTransitiveBinaryRelation"]},{"name" : "IsAntisymmetricBinaryRelation","type" : "GAP_Property","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsAntisymmetricBinaryRelation"]},{"name" : "IsPreOrderBinaryRelation","type" : "GAP_Property","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsPreOrderBinaryRelation"]},{"name" : "IsPartialOrderBinaryRelation","type" : "GAP_Property","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsPartialOrderBinaryRelation"]},{"name" : "IsLatticeOrderBinaryRelation","type" : "GAP_Property","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsLatticeOrderBinaryRelation"]},{"name" : "IsEquivalenceRelation","type" : "GAP_Property","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsEquivalenceRelation"]},{"name" : "IsHasseDiagram","type" : "GAP_Property","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["IsHasseDiagram"]},{"name" : "PartialOrderOfHasseDiagram","type" : "GAP_Attribute","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEndoGeneralMapping"],"aka" : ["PartialOrderOfHasseDiagram"]},{"name" : "EquivalenceRelationPartition","type" : "GAP_Attribute","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEquivalenceRelation"],"aka" : ["EquivalenceRelationPartition"]},{"name" : "GeneratorsOfEquivalenceRelationPartition","type" : "GAP_Attribute","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEquivalenceRelation"],"aka" : ["GeneratorsOfEquivalenceRelationPartition"]},{"name" : "EquivalenceClassRelation","type" : "GAP_Attribute","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEquivalenceClass"],"aka" : ["EquivalenceClassRelation"]},{"name" : "EquivalenceClasses","type" : "GAP_Attribute","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : ["IsEquivalenceRelation"],"aka" : ["EquivalenceClasses"]},{"name" : "AsMagma","type" : "GAP_Attribute","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsCollection"],"aka" : ["AsMagma"]},{"name" : "GeneratorsOfMagma","type" : "GAP_Attribute","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["GeneratorsOfMagma","GeneratorsOfSemigroup"]},{"name" : "GeneratorsOfMagmaWithOne","type" : "GAP_Attribute","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagmaWithOne"],"aka" : ["GeneratorsOfMagmaWithOne","GeneratorsOfMonoid"]},{"name" : "GeneratorsOfMagmaWithInverses","type" : "GAP_Attribute","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagmaWithInverses"],"aka" : ["GeneratorsOfGroup","GeneratorsOfMagmaWithInverses"]},{"name" : "IsGeneratorsOfMagmaWithInverses","type" : "GAP_Property","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsListOrCollection"],"aka" : ["IsGeneratorsOfMagmaWithInverses"]},{"name" : "TrivialSubmagmaWithOne","type" : "GAP_Attribute","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagmaWithOne"],"aka" : ["TrivialSubgroup","TrivialSubmagmaWithOne","TrivialSubmonoid"]},{"name" : "IsAssociative","type" : "GAP_Property","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["IsAssociative"]},{"name" : "IsCommutative","type" : "GAP_Property","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["IsAbelian","IsCommutative"]},{"name" : "MultiplicativeNeutralElement","type" : "GAP_Attribute","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["MultiplicativeNeutralElement"]},{"name" : "Centre","type" : "GAP_Attribute","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["Center","Centre"]},{"name" : "Idempotents","type" : "GAP_Attribute","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsMagma"],"aka" : ["Idempotents"]},{"name" : "CentralizerInParent","type" : "GAP_Attribute","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsObject"],"aka" : ["CentraliserInParent","CentralizerInParent"]},{"name" : "MagmaGeneratorsOfFamily","type" : "GAP_Attribute","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : ["IsFamily"],"aka" : ["MagmaGeneratorsOfFamily"]},{"name" : "GeneratorsOfMagmaIdeal","type" : "GAP_Attribute","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"},"filters" : ["IsMagma","IsLeftActedOnBySuperset","IsMagma","IsRightActedOnBySuperset"],"aka" : ["GeneratorsOfMagmaIdeal"]},{"name" : "MultiplicativeZero","type" : "GAP_Attribute","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : ["IsMultiplicativeElementWithZero"],"aka" : ["MultiplicativeZero"]},{"name" : "InjectionZeroMagma","type" : "GAP_Attribute","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : ["IsMagma"],"aka" : ["InjectionZeroMagma"]},{"name" : "MagmaWithZeroAdjoined","type" : "GAP_Attribute","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : ["IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"],"aka" : ["MagmaWithZeroAdjoined"]},{"name" : "UnderlyingInjectionZeroMagma","type" : "GAP_Attribute","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : ["IsMagmaWithZeroAdjoined"],"aka" : ["UnderlyingInjectionZeroMagma"]},{"name" : "GeneratingPairsOfLeftMagmaCongruence","type" : "GAP_Attribute","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : ["IsLeftMagmaCongruence"],"aka" : ["GeneratingPairsOfLeftMagmaCongruence"]},{"name" : "PartialClosureOfCongruence","type" : "GAP_Attribute","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : ["IsLeftMagmaCongruence"],"aka" : ["PartialClosureOfCongruence"]},{"name" : "GeneratingPairsOfRightMagmaCongruence","type" : "GAP_Attribute","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : ["IsRightMagmaCongruence"],"aka" : ["GeneratingPairsOfRightMagmaCongruence"]},{"name" : "GeneratingPairsOfMagmaCongruence","type" : "GAP_Attribute","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : ["IsMagmaCongruence"],"aka" : ["GeneratingPairsOfMagmaCongruence","GeneratingPairsOfSemigroupCongruence"]},{"name" : "IsLeftSemigroupCongruence","type" : "GAP_Property","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : ["IsLeftMagmaCongruence"],"aka" : ["IsLeftSemigroupCongruence"]},{"name" : "IsRightSemigroupCongruence","type" : "GAP_Property","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : ["IsRightMagmaCongruence"],"aka" : ["IsRightSemigroupCongruence"]},{"name" : "IsSemigroupCongruence","type" : "GAP_Property","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : ["IsMagmaCongruence"],"aka" : ["IsSemigroupCongruence"]},{"name" : "IsReesCongruence","type" : "GAP_Property","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : ["IsSemigroupCongruence"],"aka" : ["IsReesCongruence"]},{"name" : "AsSemigroup","type" : "GAP_Attribute","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsCollection"],"aka" : ["AsSemigroup"]},{"name" : "IsGeneratorsOfSemigroup","type" : "GAP_Property","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsListOrCollection"],"aka" : ["IsGeneratorsOfSemigroup"]},{"name" : "CayleyGraphSemigroup","type" : "GAP_Attribute","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["CayleyGraphSemigroup","RightCayleyGraphSemigroup"]},{"name" : "CayleyGraphDualSemigroup","type" : "GAP_Attribute","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["CayleyGraphDualSemigroup","LeftCayleyGraphSemigroup"]},{"name" : "IsZeroGroup","type" : "GAP_Property","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsZeroGroup"]},{"name" : "IsSimpleSemigroup","type" : "GAP_Property","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsSimpleSemigroup"]},{"name" : "IsZeroSimpleSemigroup","type" : "GAP_Property","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsZeroSimpleSemigroup"]},{"name" : "ANonReesCongruenceOfSemigroup","type" : "GAP_Attribute","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["ANonReesCongruenceOfSemigroup"]},{"name" : "IsReesCongruenceSemigroup","type" : "GAP_Property","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsReesCongruenceSemigroup"]},{"name" : "IsRegularSemigroup","type" : "GAP_Property","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsRegularSemigroup"]},{"name" : "IsInverseSemigroup","type" : "GAP_Property","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsInverseSemigroup"]},{"name" : "NilpotencyDegree","type" : "GAP_Attribute","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["NilpotencyDegree"]},{"name" : "IsBand","type" : "GAP_Property","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsBand"]},{"name" : "IsBrandtSemigroup","type" : "GAP_Property","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsBrandtSemigroup"]},{"name" : "IsCliffordSemigroup","type" : "GAP_Property","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsCliffordSemigroup"]},{"name" : "IsCommutativeSemigroup","type" : "GAP_Property","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsCommutativeSemigroup"]},{"name" : "IsCompletelyRegularSemigroup","type" : "GAP_Property","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsCompletelyRegularSemigroup"]},{"name" : "IsCompletelySimpleSemigroup","type" : "GAP_Property","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsCompletelySimpleSemigroup"]},{"name" : "IsGroupAsSemigroup","type" : "GAP_Property","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsGroupAsSemigroup"]},{"name" : "IsIdempotentGenerated","type" : "GAP_Property","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsIdempotentGenerated"]},{"name" : "IsLeftZeroSemigroup","type" : "GAP_Property","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsLeftZeroSemigroup"]},{"name" : "IsMonogenicSemigroup","type" : "GAP_Property","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsMonogenicSemigroup"]},{"name" : "IsMonoidAsSemigroup","type" : "GAP_Property","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsMonoidAsSemigroup"]},{"name" : "IsNilpotentSemigroup","type" : "GAP_Property","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsNilpotentSemigroup"]},{"name" : "IsOrthodoxSemigroup","type" : "GAP_Property","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsOrthodoxSemigroup"]},{"name" : "IsRectangularBand","type" : "GAP_Property","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsRectangularBand"]},{"name" : "IsRightZeroSemigroup","type" : "GAP_Property","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsRightZeroSemigroup"]},{"name" : "IsSemiband","type" : "GAP_Property","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsSemiband"]},{"name" : "IsSemilattice","type" : "GAP_Property","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsSemilattice","IsSemilatticeAsSemigroup"]},{"name" : "IsZeroSemigroup","type" : "GAP_Property","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsZeroSemigroup"]},{"name" : "IsLeftSemigroupIdeal","type" : "GAP_Property","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : ["IsMagma","IsLeftActedOnBySuperset"],"aka" : ["IsLeftSemigroupIdeal"]},{"name" : "IsRightSemigroupIdeal","type" : "GAP_Property","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : ["IsMagma","IsRightActedOnBySuperset"],"aka" : ["IsRightSemigroupIdeal"]},{"name" : "IsSemigroupIdeal","type" : "GAP_Property","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : ["IsMagma","IsLeftActedOnBySuperset","IsMagma","IsRightActedOnBySuperset"],"aka" : ["IsSemigroupIdeal"]},{"name" : "ReesCongruenceOfSemigroupIdeal","type" : "GAP_Attribute","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : ["IsMagma","IsLeftActedOnBySuperset","IsMagma","IsRightActedOnBySuperset"],"aka" : ["ReesCongruenceOfSemigroupIdeal"]},{"name" : "AsMonoid","type" : "GAP_Attribute","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"},"filters" : ["IsCollection"],"aka" : ["AsMonoid"]},{"name" : "IsCyclic","type" : "GAP_Property","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsCyclic"]},{"name" : "IsElementaryAbelian","type" : "GAP_Property","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsElementaryAbelian"]},{"name" : "IsFinitelyGeneratedGroup","type" : "GAP_Property","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsFinitelyGeneratedGroup"]},{"name" : "IsSubsetLocallyFiniteGroup","type" : "GAP_Property","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSubsetLocallyFiniteGroup"]},{"name" : "KnowsHowToDecompose","type" : "GAP_Property","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["KnowsHowToDecompose"]},{"name" : "IsPGroup","type" : "GAP_Property","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsPGroup"]},{"name" : "PrimePGroup","type" : "GAP_Attribute","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsPGroup"],"aka" : ["PrimePGroup"]},{"name" : "PClassPGroup","type" : "GAP_Attribute","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsPGroup"],"aka" : ["PClassPGroup"]},{"name" : "RankPGroup","type" : "GAP_Attribute","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsPGroup"],"aka" : ["RankPGroup"]},{"name" : "IsNilpotentGroup","type" : "GAP_Property","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsNilpotentGroup"]},{"name" : "IsPerfectGroup","type" : "GAP_Property","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsPerfectGroup"]},{"name" : "IsSporadicSimpleGroup","type" : "GAP_Property","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSporadicSimpleGroup"]},{"name" : "IsSimpleGroup","type" : "GAP_Property","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSimpleGroup"]},{"name" : "IsAlmostSimpleGroup","type" : "GAP_Property","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsAlmostSimpleGroup"]},{"name" : "IsSupersolvableGroup","type" : "GAP_Property","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSupersolvableGroup"]},{"name" : "IsMonomialGroup","type" : "GAP_Property","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsMonomialGroup"]},{"name" : "IsSolvableGroup","type" : "GAP_Property","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSolubleGroup","IsSolvableGroup"]},{"name" : "IsPolycyclicGroup","type" : "GAP_Property","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsPolycyclicGroup"]},{"name" : "AbelianInvariants","type" : "GAP_Attribute","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AbelianInvariants"]},{"name" : "IsInfiniteAbelianizationGroup","type" : "GAP_Attribute","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsInfiniteAbelianizationGroup"]},{"name" : "AsGroup","type" : "GAP_Attribute","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsCollection"],"aka" : ["AsGroup"]},{"name" : "ChiefSeries","type" : "GAP_Attribute","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ChiefSeries"]},{"name" : "CommutatorFactorGroup","type" : "GAP_Attribute","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CommutatorFactorGroup"]},{"name" : "CompositionSeries","type" : "GAP_Attribute","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CompositionSeries"]},{"name" : "ConjugacyClasses","type" : "GAP_Attribute","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ConjugacyClasses"]},{"name" : "ConjugacyClassesMaximalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ConjugacyClassesMaximalSubgroups"]},{"name" : "MaximalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MaximalSubgroups"]},{"name" : "MaximalSubgroupClassReps","type" : "GAP_Attribute","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MaximalSubgroupClassReps"]},{"name" : "PerfectResiduum","type" : "GAP_Attribute","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PerfectResiduum"]},{"name" : "RepresentativesPerfectSubgroups","type" : "GAP_Attribute","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RepresentativesPerfectSubgroups"]},{"name" : "RepresentativesSimpleSubgroups","type" : "GAP_Attribute","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RepresentativesSimpleSubgroups"]},{"name" : "ConjugacyClassesPerfectSubgroups","type" : "GAP_Attribute","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ConjugacyClassesPerfectSubgroups"]},{"name" : "ConjugacyClassesSubgroups","type" : "GAP_Attribute","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ConjugacyClassesSubgroups"]},{"name" : "LatticeSubgroups","type" : "GAP_Attribute","location" : {"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["LatticeSubgroups"]},{"name" : "DerivedLength","type" : "GAP_Attribute","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DerivedLength"]},{"name" : "HirschLength","type" : "GAP_Attribute","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["HirschLength"]},{"name" : "DerivedSeriesOfGroup","type" : "GAP_Attribute","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DerivedSeriesOfGroup"]},{"name" : "DerivedSubgroup","type" : "GAP_Attribute","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DerivedSubgroup"]},{"name" : "MaximalAbelianQuotient","type" : "GAP_Attribute","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MaximalAbelianQuotient"]},{"name" : "CommutatorLength","type" : "GAP_Attribute","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CommutatorLength"]},{"name" : "DimensionsLoewyFactors","type" : "GAP_Attribute","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DimensionsLoewyFactors"]},{"name" : "ElementaryAbelianSeries","type" : "GAP_Attribute","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ElementaryAbelianSeries"]},{"name" : "ElementaryAbelianSeriesLargeSteps","type" : "GAP_Attribute","location" : {"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ElementaryAbelianSeriesLargeSteps"]},{"name" : "Exponent","type" : "GAP_Attribute","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Exponent"]},{"name" : "FittingSubgroup","type" : "GAP_Attribute","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FittingSubgroup"]},{"name" : "PrefrattiniSubgroup","type" : "GAP_Attribute","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PrefrattiniSubgroup"]},{"name" : "FrattiniSubgroup","type" : "GAP_Attribute","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FrattiniSubgroup"]},{"name" : "InvariantForm","type" : "GAP_Attribute","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["InvariantForm"]},{"name" : "JenningsSeries","type" : "GAP_Attribute","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["JenningsSeries"]},{"name" : "LowerCentralSeriesOfGroup","type" : "GAP_Attribute","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["LowerCentralSeriesOfGroup"]},{"name" : "NilpotencyClassOfGroup","type" : "GAP_Attribute","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NilpotencyClassOfGroup"]},{"name" : "MaximalNormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MaximalNormalSubgroups"]},{"name" : "NormalMaximalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NormalMaximalSubgroups"]},{"name" : "MinimalNormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MinimalNormalSubgroups"]},{"name" : "NormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NormalSubgroups"]},{"name" : "NrConjugacyClasses","type" : "GAP_Attribute","location" : {"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NrConjugacyClasses"]},{"name" : "ComputedOmegas","type" : "GAP_Attribute","location" : {"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedOmegas"]},{"name" : "ComputedAgemos","type" : "GAP_Attribute","location" : {"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedAgemos"]},{"name" : "RadicalGroup","type" : "GAP_Attribute","location" : {"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RadicalGroup"]},{"name" : "RationalClasses","type" : "GAP_Attribute","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RationalClasses"]},{"name" : "GeneratorsSmallest","type" : "GAP_Attribute","location" : {"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagma"],"aka" : ["GeneratorsSmallest"]},{"name" : "LargestElementGroup","type" : "GAP_Attribute","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["LargestElementGroup"]},{"name" : "MinimalGeneratingSet","type" : "GAP_Attribute","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["MinimalGeneratingSet"]},{"name" : "SmallGeneratingSet","type" : "GAP_Attribute","location" : {"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SmallGeneratingSet"]},{"name" : "SupersolvableResiduum","type" : "GAP_Attribute","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SupersolvableResiduum"]},{"name" : "ComplementSystem","type" : "GAP_Attribute","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComplementSystem"]},{"name" : "SylowSystem","type" : "GAP_Attribute","location" : {"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SylowSystem"]},{"name" : "HallSystem","type" : "GAP_Attribute","location" : {"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["HallSystem"]},{"name" : "Socle","type" : "GAP_Attribute","location" : {"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Socle"]},{"name" : "UpperCentralSeriesOfGroup","type" : "GAP_Attribute","location" : {"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["UpperCentralSeriesOfGroup"]},{"name" : "CoreInParent","type" : "GAP_Attribute","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CoreInParent"]},{"name" : "IndexInParent","type" : "GAP_Attribute","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IndexInParent"]},{"name" : "IndexInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IndexInWholeGroup"]},{"name" : "IndependentGeneratorsOfAbelianGroup","type" : "GAP_Attribute","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","IsCommutative"],"aka" : ["IndependentGeneratorsOfAbelianGroup"]},{"name" : "IsNormalInParent","type" : "GAP_Property","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsNormalInParent"]},{"name" : "ComputedIsPNilpotents","type" : "GAP_Attribute","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedIsPNilpotents"]},{"name" : "ComputedIsPSolvables","type" : "GAP_Attribute","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedIsPSolvables"]},{"name" : "NormalClosureInParent","type" : "GAP_Attribute","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NormalClosureInParent"]},{"name" : "NormalizerInParent","type" : "GAP_Attribute","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsObject"],"aka" : ["NormaliserInParent","NormalizerInParent"]},{"name" : "ComputedPCentralSeriess","type" : "GAP_Attribute","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedPCentralSeriess"]},{"name" : "ComputedPRumps","type" : "GAP_Attribute","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedPRumps"]},{"name" : "ComputedPCores","type" : "GAP_Attribute","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedPCores"]},{"name" : "SubnormalSeriesInParent","type" : "GAP_Attribute","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SubnormalSeriesInParent"]},{"name" : "ComputedSylowSubgroups","type" : "GAP_Attribute","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedSylowSubgroups"]},{"name" : "ComputedSylowComplements","type" : "GAP_Attribute","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedSylowComplements"]},{"name" : "ComputedHallSubgroups","type" : "GAP_Attribute","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedHallSubgroups"]},{"name" : "NormalHallSubgroups","type" : "GAP_Attribute","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NormalHallSubgroups"]},{"name" : "GrowthFunctionOfGroup","type" : "GAP_Attribute","location" : {"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","Tester(GeneratorsOfMagmaWithInverses)"],"aka" : ["GrowthFunctionOfGroup"]},{"name" : "ElementTestFunction","type" : "GAP_Attribute","location" : {"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ElementTestFunction"]},{"name" : "RightTransversalInParent","type" : "GAP_Attribute","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RightTransversalInParent"]},{"name" : "IsomorphismTypeInfoFiniteSimpleGroup","type" : "GAP_Attribute","location" : {"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsomorphismTypeInfoFiniteSimpleGroup"]},{"name" : "IsomorphismPcGroup","type" : "GAP_Attribute","location" : {"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsomorphismPcGroup"]},{"name" : "IsomorphismSpecialPcGroup","type" : "GAP_Attribute","location" : {"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsomorphismSpecialPcGroup"]},{"name" : "IsomorphismPermGroup","type" : "GAP_Attribute","location" : {"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismPermGroup"]},{"name" : "IsomorphismFpGroup","type" : "GAP_Attribute","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsomorphismFpGroup"]},{"name" : "PrimePowerComponents","type" : "GAP_Attribute","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : ["IsMultiplicativeElement"],"aka" : ["PrimePowerComponents"]},{"name" : "IsGeneratorsOfInverseSemigroup","type" : "GAP_Property","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsListOrCollection"],"aka" : ["IsGeneratorsOfInverseSemigroup"]},{"name" : "GeneratorsOfInverseMonoid","type" : "GAP_Attribute","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsInverseSemigroup"],"aka" : ["GeneratorsOfInverseMonoid"]},{"name" : "GeneratorsOfInverseSemigroup","type" : "GAP_Attribute","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsInverseSemigroup"],"aka" : ["GeneratorsOfInverseSemigroup"]},{"name" : "AsInverseSemigroup","type" : "GAP_Attribute","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsCollection"],"aka" : ["AsInverseSemigroup"]},{"name" : "AsInverseMonoid","type" : "GAP_Attribute","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsCollection"],"aka" : ["AsInverseMonoid"]},{"name" : "ReverseNaturalPartialOrder","type" : "GAP_Attribute","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["ReverseNaturalPartialOrder"]},{"name" : "NaturalPartialOrder","type" : "GAP_Attribute","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["NaturalPartialOrder"]},{"name" : "IsAdditivelyCommutative","type" : "GAP_Property","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveMagma"],"aka" : ["IsAdditivelyCommutative"]},{"name" : "GeneratorsOfNearAdditiveMagma","type" : "GAP_Attribute","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveMagma"],"aka" : ["GeneratorsOfAdditiveMagma","GeneratorsOfNearAdditiveMagma"]},{"name" : "GeneratorsOfNearAdditiveMagmaWithZero","type" : "GAP_Attribute","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveMagmaWithZero"],"aka" : ["GeneratorsOfAdditiveMagmaWithZero","GeneratorsOfNearAdditiveMagmaWithZero"]},{"name" : "GeneratorsOfNearAdditiveGroup","type" : "GAP_Attribute","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveGroup"],"aka" : ["GeneratorsOfAdditiveGroup","GeneratorsOfAdditiveMagmaWithInverses","GeneratorsOfNearAdditiveGroup","GeneratorsOfNearAdditiveMagmaWithInverses"]},{"name" : "TrivialSubnearAdditiveMagmaWithZero","type" : "GAP_Attribute","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveMagmaWithZero"],"aka" : ["TrivialSubFLMLOR","TrivialSubadditiveMagmaWithZero","TrivialSubalgebra","TrivialSubmodule","TrivialSubnearAdditiveMagmaWithZero","TrivialSubspace"]},{"name" : "AdditiveNeutralElement","type" : "GAP_Attribute","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : ["IsNearAdditiveMagma"],"aka" : ["AdditiveNeutralElement"]},{"name" : "IsLDistributive","type" : "GAP_Property","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["IsLDistributive"]},{"name" : "IsRDistributive","type" : "GAP_Property","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["IsRDistributive"]},{"name" : "GeneratorsOfSemiring","type" : "GAP_Attribute","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfSemiring"]},{"name" : "GeneratorsOfSemiringWithOne","type" : "GAP_Attribute","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagmaWithOne","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfSemiringWithOne"]},{"name" : "GeneratorsOfSemiringWithZero","type" : "GAP_Attribute","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["IsNearAdditiveMagmaWithZero","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfSemiringWithZero"]},{"name" : "GeneratorsOfSemiringWithOneAndZero","type" : "GAP_Attribute","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["IsNearAdditiveMagmaWithZero","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagmaWithOne","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfSemiringWithOneAndZero"]},{"name" : "AsSemiring","type" : "GAP_Attribute","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsSemiring"]},{"name" : "AsSemiringWithOne","type" : "GAP_Attribute","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsSemiringWithOne"]},{"name" : "AsSemiringWithZero","type" : "GAP_Attribute","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsSemiringWithZero"]},{"name" : "AsSemiringWithOneAndZero","type" : "GAP_Attribute","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsSemiringWithOneAndZero"]},{"name" : "CentralIdempotentsOfSemiring","type" : "GAP_Attribute","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : ["IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["CentralIdempotentsOfAlgebra","CentralIdempotentsOfSemiring"]},{"name" : "AsNearRing","type" : "GAP_Attribute","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsNearRing"]},{"name" : "AsRing","type" : "GAP_Attribute","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],"aka" : ["AsRing"]},{"name" : "GeneratorsOfRing","type" : "GAP_Attribute","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfRing"]},{"name" : "GeneratorsOfRingWithOne","type" : "GAP_Attribute","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne"],"aka" : ["GeneratorsOfRingWithOne"]},{"name" : "IsAnticommutative","type" : "GAP_Property","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsAnticommutative"]},{"name" : "IsIntegralRing","type" : "GAP_Property","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsIntegralRing"]},{"name" : "IsJacobianRing","type" : "GAP_Property","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsJacobianRing"]},{"name" : "IsZeroSquaredRing","type" : "GAP_Property","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsZeroSquaredRing"]},{"name" : "IsZeroMultiplicationRing","type" : "GAP_Property","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsZeroMultiplicationRing"]},{"name" : "Units","type" : "GAP_Attribute","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["Units"]},{"name" : "IsGeneralizedCartanMatrix","type" : "GAP_Property","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["IsGeneralizedCartanMatrix"]},{"name" : "BaseMat","type" : "GAP_Attribute","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["BaseMat"]},{"name" : "BaseOrthogonalSpaceMat","type" : "GAP_Attribute","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["BaseOrthogonalSpaceMat"]},{"name" : "DefaultFieldOfMatrix","type" : "GAP_Attribute","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["DefaultFieldOfMatrix"]},{"name" : "DepthOfUpperTriangularMatrix","type" : "GAP_Attribute","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["DepthOfUpperTriangularMatrix"]},{"name" : "DeterminantMat","type" : "GAP_Attribute","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["DeterminantMat"]},{"name" : "DimensionsMat","type" : "GAP_Attribute","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["DimensionsMat"]},{"name" : "NullspaceMat","type" : "GAP_Attribute","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["NullspaceMat"]},{"name" : "TriangulizedNullspaceMat","type" : "GAP_Attribute","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["TriangulizedNullspaceMat"]},{"name" : "ProjectiveOrder","type" : "GAP_Attribute","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["ProjectiveOrder"]},{"name" : "RankMat","type" : "GAP_Attribute","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["RankMat"]},{"name" : "SemiEchelonMat","type" : "GAP_Attribute","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["SemiEchelonMat"]},{"name" : "SemiEchelonMatTransformation","type" : "GAP_Attribute","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["SemiEchelonMatTransformation"]},{"name" : "TransposedMatImmutable","type" : "GAP_Attribute","location" : {"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["TransposedMat","TransposedMatAttr","TransposedMatImmutable"]},{"name" : "IsMonomialMatrix","type" : "GAP_Property","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["IsMonomialMatrix"]},{"name" : "JordanDecomposition","type" : "GAP_Attribute","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["JordanDecomposition"]},{"name" : "CharacteristicPolynomial","type" : "GAP_Attribute","location" : {"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["CharacteristicPolynomial"]},{"name" : "BaseIntMat","type" : "GAP_Attribute","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable","CategoryCollections(CategoryCollections(IsCyclotomic))"],"aka" : ["BaseIntMat"]},{"name" : "NullspaceIntMat","type" : "GAP_Attribute","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable","CategoryCollections(CategoryCollections(IsCyclotomic))"],"aka" : ["NullspaceIntMat"]},{"name" : "AbelianInvariantsOfList","type" : "GAP_Attribute","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : ["CategoryCollections(IsCyclotomic)"],"aka" : ["AbelianInvariantsOfList"]},{"name" : "MatrixByBlockMatrix","type" : "GAP_Attribute","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["MatrixByBlockMatrix"]},{"name" : "IsTwoSidedIdealInParent","type" : "GAP_Property","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsIdealInParent","IsTwoSidedIdealInParent"]},{"name" : "IsLeftIdealInParent","type" : "GAP_Property","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsLeftIdealInParent"]},{"name" : "IsRightIdealInParent","type" : "GAP_Property","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["IsRightIdealInParent"]},{"name" : "GeneratorsOfTwoSidedIdeal","type" : "GAP_Attribute","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfIdeal","GeneratorsOfTwoSidedIdeal"]},{"name" : "GeneratorsOfLeftIdeal","type" : "GAP_Attribute","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfLeftIdeal"]},{"name" : "GeneratorsOfRightIdeal","type" : "GAP_Attribute","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["GeneratorsOfRightIdeal"]},{"name" : "LeftActingRingOfIdeal","type" : "GAP_Attribute","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["LeftActingRingOfIdeal"]},{"name" : "RightActingRingOfIdeal","type" : "GAP_Attribute","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["RightActingRingOfIdeal"]},{"name" : "IsFiniteDimensional","type" : "GAP_Property","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsFiniteDimensional"]},{"name" : "IsFullRowModule","type" : "GAP_Property","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsFullRowModule"]},{"name" : "IsFullMatrixModule","type" : "GAP_Property","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsFullMatrixModule"]},{"name" : "Dimension","type" : "GAP_Attribute","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["Dimension"]},{"name" : "GeneratorsOfLeftOperatorAdditiveGroup","type" : "GAP_Attribute","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum"],"aka" : ["GeneratorsOfLeftModule","GeneratorsOfLeftOperatorAdditiveGroup","GeneratorsOfLeftVectorSpace","GeneratorsOfVectorSpace"]},{"name" : "GeneratorsOfRightOperatorAdditiveGroup","type" : "GAP_Attribute","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtRSet","IsDistributiveROpDSum"],"aka" : ["GeneratorsOfRightModule","GeneratorsOfRightOperatorAdditiveGroup"]},{"name" : "IsRowModule","type" : "GAP_Property","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsRowModule"]},{"name" : "IsMatrixModule","type" : "GAP_Property","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsMatrixModule"]},{"name" : "DimensionOfVectors","type" : "GAP_Attribute","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["DimensionOfVectors"]},{"name" : "IsCanonicalBasis","type" : "GAP_Property","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsCanonicalBasis"]},{"name" : "IsCanonicalBasisFullRowModule","type" : "GAP_Property","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsCanonicalBasisFullRowModule"]},{"name" : "IsCanonicalBasisFullMatrixModule","type" : "GAP_Property","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsCanonicalBasisFullMatrixModule"]},{"name" : "IsIntegralBasis","type" : "GAP_Property","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsIntegralBasis"]},{"name" : "IsNormalBasis","type" : "GAP_Property","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsNormalBasis"]},{"name" : "IsSemiEchelonized","type" : "GAP_Property","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["IsSemiEchelonized"]},{"name" : "BasisVectors","type" : "GAP_Attribute","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["BasisVectors"]},{"name" : "EnumeratorByBasis","type" : "GAP_Attribute","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["EnumeratorByBasis"]},{"name" : "StructureConstantsTable","type" : "GAP_Attribute","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["StructureConstantsTable"]},{"name" : "UnderlyingLeftModule","type" : "GAP_Attribute","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasis"],"aka" : ["UnderlyingLeftModule"]},{"name" : "Basis","type" : "GAP_Attribute","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["Basis"]},{"name" : "SemiEchelonBasis","type" : "GAP_Attribute","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["SemiEchelonBasis"]},{"name" : "NiceBasis","type" : "GAP_Attribute","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsBasisByNiceBasis"],"aka" : ["NiceBasis"]},{"name" : "NiceFreeLeftModule","type" : "GAP_Attribute","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["NiceFreeLeftModule"]},{"name" : "NiceFreeLeftModuleInfo","type" : "GAP_Attribute","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : ["IsFreeLeftModule","IsHandledByNiceBasis"],"aka" : ["NiceFreeLeftModuleInfo"]},{"name" : "CanonicalBasis","type" : "GAP_Attribute","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["CanonicalBasis"]},{"name" : "NormedRowVectors","type" : "GAP_Attribute","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : ["IsGaussianSpace"],"aka" : ["NormedRowVectors"]},{"name" : "Subspaces","type" : "GAP_Attribute","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne"],"aka" : ["Subspaces"]},{"name" : "OrthogonalSpaceInFullRowSpace","type" : "GAP_Attribute","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : ["IsGaussianSpace"],"aka" : ["OrthogonalSpaceInFullRowSpace"]},{"name" : "IsVectorSpaceHomomorphism","type" : "GAP_Property","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["IsVectorSpaceHomomorphism"]},{"name" : "AsLeftModuleGeneralMappingByImages","type" : "GAP_Attribute","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["AsLeftModuleGeneralMappingByImages"]},{"name" : "IsFullHomModule","type" : "GAP_Property","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : ["IsFreeLeftModule"],"aka" : ["IsFullHomModule"]},{"name" : "IsPseudoCanonicalBasisFullHomModule","type" : "GAP_Property","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : ["IsBasis"],"aka" : ["IsPseudoCanonicalBasisFullHomModule"]},{"name" : "IsSimpleAlgebra","type" : "GAP_Property","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["IsSimpleAlgebra"]},{"name" : "GeneratorsOfLeftOperatorRing","type" : "GAP_Attribute","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["GeneratorsOfAlgebra","GeneratorsOfFLMLOR","GeneratorsOfLeftOperatorRing"]},{"name" : "GeneratorsOfLeftOperatorRingWithOne","type" : "GAP_Attribute","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd"],"aka" : ["GeneratorsOfAlgebraWithOne","GeneratorsOfFLMLORWithOne","GeneratorsOfLeftOperatorRingWithOne"]},{"name" : "PowerSubalgebraSeries","type" : "GAP_Attribute","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["PowerSubalgebraSeries"]},{"name" : "AdjointBasis","type" : "GAP_Attribute","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsBasis"],"aka" : ["AdjointBasis"]},{"name" : "IndicesOfAdjointBasis","type" : "GAP_Attribute","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsBasis"],"aka" : ["IndicesOfAdjointBasis"]},{"name" : "RadicalOfAlgebra","type" : "GAP_Attribute","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["RadicalOfAlgebra"]},{"name" : "DirectSumDecomposition","type" : "GAP_Attribute","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["DirectSumDecomposition"]},{"name" : "NullAlgebra","type" : "GAP_Attribute","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["NullAlgebra"]},{"name" : "LieAlgebraByDomain","type" : "GAP_Attribute","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["LieAlgebraByDomain"]},{"name" : "LeviMalcevDecomposition","type" : "GAP_Attribute","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["LeviMalcevDecomposition"]},{"name" : "Grading","type" : "GAP_Attribute","location" : {"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["Grading"]},{"name" : "CoefficientsAndMagmaElements","type" : "GAP_Attribute","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : ["IsElementOfMagmaRingModuloRelations"],"aka" : ["CoefficientsAndMagmaElements"]},{"name" : "ZeroCoefficient","type" : "GAP_Attribute","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : ["IsElementOfMagmaRingModuloRelations"],"aka" : ["ZeroCoefficient"]},{"name" : "IsGroupRing","type" : "GAP_Property","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : ["IsFreeMagmaRing"],"aka" : ["IsGroupRing"]},{"name" : "UnderlyingMagma","type" : "GAP_Attribute","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : ["IsFreeMagmaRing"],"aka" : ["UnderlyingMagma"]},{"name" : "AugmentationIdeal","type" : "GAP_Attribute","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : ["IsFreeMagmaRing"],"aka" : ["AugmentationIdeal"]},{"name" : "IsFullFpAlgebra","type" : "GAP_Property","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsFreeLeftModule","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","CategoryCollections(IsElementOfFpAlgebra)"],"aka" : ["IsFullFpAlgebra"]},{"name" : "FreeGeneratorsOfFpAlgebra","type" : "GAP_Attribute","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsSubalgebraFpAlgebra","IsFullFpAlgebra"],"aka" : ["FreeGeneratorsOfFpAlgebra"]},{"name" : "RelatorsOfFpAlgebra","type" : "GAP_Attribute","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsSubalgebraFpAlgebra","IsFullFpAlgebra"],"aka" : ["RelatorsOfFpAlgebra"]},{"name" : "FreeAlgebraOfFpAlgebra","type" : "GAP_Attribute","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsSubalgebraFpAlgebra","IsFullFpAlgebra"],"aka" : ["FreeAlgebraOfFpAlgebra"]},{"name" : "IsNormalForm","type" : "GAP_Property","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsObject"],"aka" : ["IsNormalForm"]},{"name" : "NiceNormalFormByExtRepFunction","type" : "GAP_Attribute","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsFamily"],"aka" : ["NiceNormalFormByExtRepFunction"]},{"name" : "NiceAlgebraMonomorphism","type" : "GAP_Attribute","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : ["IsSubalgebraFpAlgebra"],"aka" : ["NiceAlgebraMonomorphism"]},{"name" : "IsLieAbelian","type" : "GAP_Property","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["IsLieAbelian"]},{"name" : "IsLieNilpotent","type" : "GAP_Property","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["IsLieNilpotent"]},{"name" : "IsRestrictedLieAlgebra","type" : "GAP_Property","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["IsRestrictedLieAlgebra"]},{"name" : "LieDerivedSubalgebra","type" : "GAP_Attribute","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieDerivedSubalgebra"]},{"name" : "LieDerivedSeries","type" : "GAP_Attribute","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieDerivedSeries"]},{"name" : "IsLieSolvable","type" : "GAP_Property","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["IsLieSoluble","IsLieSolvable"]},{"name" : "LieLowerCentralSeries","type" : "GAP_Attribute","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieLowerCentralSeries"]},{"name" : "LieUpperCentralSeries","type" : "GAP_Attribute","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieUpperCentralSeries"]},{"name" : "LieCentre","type" : "GAP_Attribute","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieCenter","LieCentre"]},{"name" : "RightDerivations","type" : "GAP_Attribute","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsBasis"],"aka" : ["Derivations","RightDerivations"]},{"name" : "LeftDerivations","type" : "GAP_Attribute","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsBasis"],"aka" : ["LeftDerivations"]},{"name" : "KillingMatrix","type" : "GAP_Attribute","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsBasis"],"aka" : ["KillingMatrix"]},{"name" : "CartanSubalgebra","type" : "GAP_Attribute","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["CartanSubalgebra"]},{"name" : "PthPowerImages","type" : "GAP_Attribute","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsBasis"],"aka" : ["PthPowerImages"]},{"name" : "NonNilpotentElement","type" : "GAP_Attribute","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["NonLieNilpotentElement","NonNilpotentElement"]},{"name" : "LieNilRadical","type" : "GAP_Attribute","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieNilRadical"]},{"name" : "LieSolvableRadical","type" : "GAP_Attribute","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieSolubleRadical","LieSolvableRadical"]},{"name" : "SemiSimpleType","type" : "GAP_Attribute","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["SemiSimpleType"]},{"name" : "LieCentralizerInParent","type" : "GAP_Attribute","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieCentraliserInParent","LieCentralizerInParent"]},{"name" : "LieNormalizerInParent","type" : "GAP_Attribute","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LieNormaliserInParent","LieNormalizerInParent"]},{"name" : "PowerS","type" : "GAP_Attribute","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["PowerS"]},{"name" : "UnderlyingLieAlgebra","type" : "GAP_Attribute","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystemFromLieAlgebra"],"aka" : ["UnderlyingLieAlgebra"]},{"name" : "RootSystem","type" : "GAP_Attribute","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["RootSystem"]},{"name" : "PositiveRoots","type" : "GAP_Attribute","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystem"],"aka" : ["PositiveRoots"]},{"name" : "NegativeRoots","type" : "GAP_Attribute","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystem"],"aka" : ["NegativeRoots"]},{"name" : "PositiveRootVectors","type" : "GAP_Attribute","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystemFromLieAlgebra"],"aka" : ["PositiveRootVectors"]},{"name" : "NegativeRootVectors","type" : "GAP_Attribute","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystemFromLieAlgebra"],"aka" : ["NegativeRootVectors"]},{"name" : "SimpleSystem","type" : "GAP_Attribute","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystem"],"aka" : ["SimpleSystem"]},{"name" : "CartanMatrix","type" : "GAP_Attribute","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystem"],"aka" : ["CartanMatrix"]},{"name" : "BilinearFormMat","type" : "GAP_Attribute","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystem"],"aka" : ["BilinearFormMat"]},{"name" : "CanonicalGenerators","type" : "GAP_Attribute","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsRootSystemFromLieAlgebra"],"aka" : ["CanonicalGenerators"]},{"name" : "ChevalleyBasis","type" : "GAP_Attribute","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["ChevalleyBasis"]},{"name" : "UniversalEnvelopingAlgebra","type" : "GAP_Attribute","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["UniversalEnvelopingAlgebra"]},{"name" : "JenningsLieAlgebra","type" : "GAP_Attribute","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["JenningsLieAlgebra"]},{"name" : "PCentralLieAlgebra","type" : "GAP_Attribute","location" : {"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PCentralLieAlgebra"]},{"name" : "NaturalHomomorphismOfLieAlgebraFromNilpotentGroup","type" : "GAP_Attribute","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["NaturalHomomorphismOfLieAlgebraFromNilpotentGroup"]},{"name" : "IsFullSCAlgebra","type" : "GAP_Property","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : ["IsFreeLeftModule","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","CategoryCollections(IsSCAlgebraObj)"],"aka" : ["IsFullSCAlgebra"]},{"name" : "IsCanonicalBasisFullSCAlgebra","type" : "GAP_Property","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : ["IsBasis"],"aka" : ["IsCanonicalBasisFullSCAlgebra"]},{"name" : "IsomorphismFpFLMLOR","type" : "GAP_Attribute","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : ["IsFreeLeftModule","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["IsomorphismFpAlgebra","IsomorphismFpFLMLOR"]},{"name" : "IsomorphismMatrixFLMLOR","type" : "GAP_Attribute","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : ["IsFreeLeftModule","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["IsomorphismMatrixAlgebra","IsomorphismMatrixFLMLOR"]},{"name" : "IsomorphismSCFLMLOR","type" : "GAP_Attribute","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : ["IsBasis"],"aka" : ["IsomorphismSCAlgebra","IsomorphismSCFLMLOR"]},{"name" : "LieFamily","type" : "GAP_Attribute","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : ["IsFamily"],"aka" : ["LieFamily"]},{"name" : "UnderlyingFamily","type" : "GAP_Attribute","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : ["IsObject"],"aka" : ["UnderlyingFamily"]},{"name" : "LieObject","type" : "GAP_Attribute","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],"aka" : ["LieObject"]},{"name" : "UnderlyingRingElement","type" : "GAP_Attribute","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : ["IsLieObject"],"aka" : ["UnderlyingRingElement"]},{"name" : "IsAlgebraModule","type" : "GAP_Property","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne"],"aka" : ["IsAlgebraModule"]},{"name" : "IsLeftAlgebraModule","type" : "GAP_Property","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne"],"aka" : ["IsLeftAlgebraModule"]},{"name" : "IsRightAlgebraModule","type" : "GAP_Property","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne"],"aka" : ["IsRightAlgebraModule"]},{"name" : "LeftActingAlgebra","type" : "GAP_Attribute","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsAlgebraModule"],"aka" : ["LeftActingAlgebra"]},{"name" : "RightActingAlgebra","type" : "GAP_Attribute","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsAlgebraModule"],"aka" : ["RightActingAlgebra"]},{"name" : "GeneratorsOfAlgebraModule","type" : "GAP_Attribute","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsAlgebraModule"],"aka" : ["GeneratorsOfAlgebraModule"]},{"name" : "AdjointModule","type" : "GAP_Attribute","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["AdjointModule"]},{"name" : "FaithfulModule","type" : "GAP_Attribute","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd"],"aka" : ["FaithfulModule"]},{"name" : "IsWeylGroup","type" : "GAP_Property","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsWeylGroup"]},{"name" : "WeylGroup","type" : "GAP_Attribute","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsRootSystem"],"aka" : ["WeylGroup"]},{"name" : "SparseCartanMatrix","type" : "GAP_Attribute","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsWeylGroup"],"aka" : ["SparseCartanMatrix"]},{"name" : "LongestWeylWordPerm","type" : "GAP_Attribute","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsWeylGroup"],"aka" : ["LongestWeylWordPerm"]},{"name" : "PositiveRootsAsWeights","type" : "GAP_Attribute","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsRootSystem"],"aka" : ["PositiveRootsAsWeights"]},{"name" : "LatticeGeneratorsInUEA","type" : "GAP_Attribute","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsAssociativeLOpDProd","IsZeroSquaredRing","IsJacobianRing"],"aka" : ["LatticeGeneratorsInUEA"]},{"name" : "PrimeDivisors","type" : "GAP_Attribute","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"filters" : ["IsInt"],"aka" : ["PrimeDivisors"]},{"name" : "StandardGeneratorsSubringSCRing","type" : "GAP_Attribute","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","CategoryCollections(IsSCRingObj)"],"aka" : ["StandardGeneratorsSubringSCRing"]},{"name" : "Subrings","type" : "GAP_Attribute","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["Subrings"]},{"name" : "Ideals","type" : "GAP_Attribute","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive"],"aka" : ["Ideals"]},{"name" : "DirectSumInfo","type" : "GAP_Attribute","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DirectSumInfo"]},{"name" : "Permanent","type" : "GAP_Attribute","location" : {"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["Permanent"]},{"name" : "RationalFunctionsFamily","type" : "GAP_Attribute","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsFamily"],"aka" : ["RationalFunctionsFamily"]},{"name" : "CoefficientsFamily","type" : "GAP_Attribute","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsFamily"],"aka" : ["CoefficientsFamily"]},{"name" : "NumeratorOfRationalFunction","type" : "GAP_Attribute","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction"],"aka" : ["NumeratorOfRationalFunction"]},{"name" : "DenominatorOfRationalFunction","type" : "GAP_Attribute","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsRationalFunction"],"aka" : ["DenominatorOfRationalFunction"]},{"name" : "IsPolynomial","type" : "GAP_Property","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction"],"aka" : ["IsPolynomial"]},{"name" : "AsPolynomial","type" : "GAP_Attribute","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction","IsPolynomial"],"aka" : ["AsPolynomial"]},{"name" : "IsUnivariateRationalFunction","type" : "GAP_Property","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsRationalFunction"],"aka" : ["IsUnivariateRationalFunction"]},{"name" : "IsLaurentPolynomial","type" : "GAP_Property","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction"],"aka" : ["IsLaurentPolynomial"]},{"name" : "IsConstantRationalFunction","type" : "GAP_Property","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction"],"aka" : ["IsConstantRationalFunction"]},{"name" : "ExtRepNumeratorRatFun","type" : "GAP_Attribute","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction"],"aka" : ["ExtRepNumeratorRatFun"]},{"name" : "ExtRepDenominatorRatFun","type" : "GAP_Attribute","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsRationalFunction"],"aka" : ["ExtRepDenominatorRatFun"]},{"name" : "ExtRepPolynomialRatFun","type" : "GAP_Attribute","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomialFunction","IsPolynomial"],"aka" : ["ExtRepPolynomialRatFun"]},{"name" : "CoefficientsOfLaurentPolynomial","type" : "GAP_Attribute","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsLaurentPolynomial"],"aka" : ["CoefficientsOfLaurentPolynomial","CoefficientsOfUnivariateLaurentPolynomial"]},{"name" : "IndeterminateNumberOfUnivariateRationalFunction","type" : "GAP_Attribute","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsUnivariateRationalFunction"],"aka" : ["IndeterminateNumberOfLaurentPolynomial","IndeterminateNumberOfUnivariateLaurentPolynomial","IndeterminateNumberOfUnivariateRationalFunction"]},{"name" : "IndeterminateOfUnivariateRationalFunction","type" : "GAP_Attribute","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsUnivariateRationalFunction"],"aka" : ["IndeterminateOfLaurentPolynomial","IndeterminateOfUnivariateRationalFunction"]},{"name" : "CoefficientsOfUnivariatePolynomial","type" : "GAP_Attribute","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomial","IsUnivariateRationalFunction"],"aka" : ["CoefficientsOfUnivariatePolynomial"]},{"name" : "DegreeOfLaurentPolynomial","type" : "GAP_Attribute","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsLaurentPolynomial"],"aka" : ["DegreeOfLaurentPolynomial","DegreeOfUnivariateLaurentPolynomial"]},{"name" : "CoefficientsOfUnivariateRationalFunction","type" : "GAP_Attribute","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsUnivariateRationalFunction"],"aka" : ["CoefficientsOfUnivariateRationalFunction"]},{"name" : "Derivative","type" : "GAP_Attribute","location" : {"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsUnivariateRationalFunction"],"aka" : ["Derivative"]},{"name" : "Discriminant","type" : "GAP_Attribute","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : ["IsPolynomial"],"aka" : ["Discriminant"]},{"name" : "PrimeField","type" : "GAP_Attribute","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing"],"aka" : ["PrimeField"]},{"name" : "IsPrimeField","type" : "GAP_Property","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing"],"aka" : ["IsPrimeField"]},{"name" : "DefiningPolynomial","type" : "GAP_Attribute","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["DefiningPolynomial"]},{"name" : "DegreeOverPrimeField","type" : "GAP_Attribute","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing"],"aka" : ["DegreeOverPrimeField"]},{"name" : "GeneratorsOfDivisionRing","type" : "GAP_Attribute","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing"],"aka" : ["GeneratorsOfDivisionRing","GeneratorsOfField"]},{"name" : "NormalBase","type" : "GAP_Attribute","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["NormalBase"]},{"name" : "PrimitiveElement","type" : "GAP_Attribute","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing"],"aka" : ["PrimitiveElement"]},{"name" : "PrimitiveRoot","type" : "GAP_Attribute","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative","IsFinite"],"aka" : ["PrimitiveRoot"]},{"name" : "RootOfDefiningPolynomial","type" : "GAP_Attribute","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["RootOfDefiningPolynomial"]},{"name" : "Subfields","type" : "GAP_Attribute","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["Subfields"]},{"name" : "Conjugates","type" : "GAP_Attribute","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["Conjugates"]},{"name" : "Norm","type" : "GAP_Attribute","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["Norm"]},{"name" : "Trace","type" : "GAP_Attribute","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["Trace"]},{"name" : "GaloisGroup","type" : "GAP_Attribute","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["GaloisGroup"]},{"name" : "ComplexConjugate","type" : "GAP_Attribute","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["ComplexConjugate"]},{"name" : "RealPart","type" : "GAP_Attribute","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["RealPart"]},{"name" : "ImaginaryPart","type" : "GAP_Attribute","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],"aka" : ["ImaginaryPart"]},{"name" : "FrobeniusAutomorphism","type" : "GAP_Attribute","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["FrobeniusAutomorphism"]},{"name" : "ModulusOfZmodnZObj","type" : "GAP_Attribute","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"filters" : ["IsZmodnZObj"],"aka" : ["ModulusOfZmodnZObj"]},{"name" : "Cyclotomic","type" : "GAP_Attribute","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : ["IsZmodnZepsObj"],"aka" : ["Cyclotomic"]},{"name" : "IsRingOfIntegralCyclotomics","type" : "GAP_Attribute","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne"],"aka" : ["IsRingOfIntegralCyclotomics"]},{"name" : "GaloisMat","type" : "GAP_Attribute","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["GaloisMat"]},{"name" : "RationalizedMat","type" : "GAP_Attribute","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["RationalizedMat"]},{"name" : "IsNumberField","type" : "GAP_Property","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["IsNumberField"]},{"name" : "IsAbelianNumberField","type" : "GAP_Property","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["IsAbelianNumberField"]},{"name" : "IsCyclotomicField","type" : "GAP_Property","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : ["IsMagmaWithInversesIfNonzero","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","IsMagmaWithOne","IsAssociativeLOpDProd","IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsExtLSet","IsDistributiveLOpDSum","IsLeftActedOnByRing","IsDistributiveLOpESum","IsAssociativeLOpEProd","IsTrivialLOpEOne","IsLeftActedOnByDivisionRing","IsNonTrivial","IsAssociative","IsEuclideanRing","IsCommutative"],"aka" : ["IsCyclotomicField"]},{"name" : "GaloisStabilizer","type" : "GAP_Attribute","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : ["IsAbelianNumberField"],"aka" : ["GaloisStabiliser","GaloisStabilizer"]},{"name" : "ExponentOfPowering","type" : "GAP_Attribute","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : ["IsGeneralMapping","IsTotal","IsSingleValued"],"aka" : ["ExponentOfPowering"]},{"name" : "CoefficientsRing","type" : "GAP_Attribute","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : ["IsPolynomialRing"],"aka" : ["CoefficientsRing"]},{"name" : "IndeterminatesOfPolynomialRing","type" : "GAP_Attribute","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : ["IsPolynomialRing"],"aka" : ["IndeterminatesOfFunctionField","IndeterminatesOfPolynomialRing"]},{"name" : "SplittingField","type" : "GAP_Attribute","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : ["IsPolynomial"],"aka" : ["SplittingField"]},{"name" : "IrrFacsPol","type" : "GAP_Attribute","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : ["IsPolynomial"],"aka" : ["IrrFacsPol"]},{"name" : "MinimizedBombieriNorm","type" : "GAP_Attribute","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"},"filters" : ["IsPolynomial","IsRationalFunctionsFamilyElement"],"aka" : ["MinimizedBombieriNorm"]},{"name" : "AlgebraicElementsFamilies","type" : "GAP_Attribute","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : ["IsPolynomial","IsUnivariateRationalFunction"],"aka" : ["AlgebraicElementsFamilies"]},{"name" : "DefectApproximation","type" : "GAP_Attribute","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : ["IsAlgebraicExtension"],"aka" : ["DefectApproximation"]},{"name" : "IsFreeSemigroup","type" : "GAP_Property","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : ["CategoryCollections((IsWord and IsAssociativeElement))","IsMagma","IsAssociative"],"aka" : ["IsFreeSemigroup"]},{"name" : "IsFreeMonoid","type" : "GAP_Property","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : ["CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","IsMagmaWithOne","IsAssociative"],"aka" : ["IsFreeMonoid"]},{"name" : "NumberSyllables","type" : "GAP_Attribute","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : ["IsWord","IsAssociativeElement"],"aka" : ["NrSyllables","NumberSyllables"]},{"name" : "BaseDomain","type" : "GAP_Attribute","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : ["IsRowVectorObj"],"aka" : ["BaseDomain"]},{"name" : "RowLength","type" : "GAP_Attribute","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : ["IsMatrixObj"],"aka" : ["RowLength"]},{"name" : "IsBuiltFromAdditiveMagmaWithInverses","type" : "GAP_Property","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromAdditiveMagmaWithInverses"]},{"name" : "IsBuiltFromMagma","type" : "GAP_Property","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromMagma"]},{"name" : "IsBuiltFromMagmaWithOne","type" : "GAP_Property","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromMagmaWithOne"]},{"name" : "IsBuiltFromMagmaWithInverses","type" : "GAP_Property","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromMagmaWithInverses"]},{"name" : "IsBuiltFromGroup","type" : "GAP_Property","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromGroup"]},{"name" : "IsBuiltFromSemigroup","type" : "GAP_Property","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromSemigroup"]},{"name" : "IsBuiltFromMonoid","type" : "GAP_Property","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsObject"],"aka" : ["IsBuiltFromMonoid"]},{"name" : "SemigroupOfRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["SemigroupOfRewritingSystem"]},{"name" : "MonoidOfRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["MonoidOfRewritingSystem"]},{"name" : "ConfluentRws","type" : "GAP_Attribute","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["ConfluentRws"]},{"name" : "GeneratorsOfRws","type" : "GAP_Attribute","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["GeneratorsOfRws"]},{"name" : "NumberGeneratorsOfRws","type" : "GAP_Attribute","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["NumberGeneratorsOfRws"]},{"name" : "Rules","type" : "GAP_Attribute","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["Rules"]},{"name" : "OrderingOfRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["OrderOfRewritingSystem","OrderingOfRewritingSystem"]},{"name" : "IsConfluent","type" : "GAP_Property","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["IsConfluent"]},{"name" : "IsReduced","type" : "GAP_Property","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : ["IsRewritingSystem","IsMutable"],"aka" : ["IsReduced"]},{"name" : "RelativeOrders","type" : "GAP_Attribute","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["RelativeOrders"]},{"name" : "DefiningPcgs","type" : "GAP_Attribute","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"filters" : ["IsObject"],"aka" : ["DefiningPcgs"]},{"name" : "MonomialComparisonFunction","type" : "GAP_Attribute","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : ["IsMonomialOrdering"],"aka" : ["MonomialComparisonFunction"]},{"name" : "MonomialExtrepComparisonFun","type" : "GAP_Attribute","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : ["IsObject"],"aka" : ["MonomialExtrepComparisonFun"]},{"name" : "OccuringVariableIndices","type" : "GAP_Attribute","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : ["IsMonomialOrdering"],"aka" : ["OccuringVariableIndices"]},{"name" : "StoredGroebnerBasis","type" : "GAP_Attribute","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : ["IsNearAdditiveGroup","IsNearAdditiveMagma","IsAdditivelyCommutative","IsMagma","IsLDistributive","IsRDistributive","CategoryCollections(IsRationalFunction)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"],"aka" : ["StoredGroebnerBasis"]},{"name" : "PcGroupWithPcgs","type" : "GAP_Attribute","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsModuloPcgs"],"aka" : ["GroupByPcgs","PcGroupWithPcgs"]},{"name" : "GroupOfPcgs","type" : "GAP_Attribute","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["GroupOfPcgs"]},{"name" : "OneOfPcgs","type" : "GAP_Attribute","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["OneOfPcgs"]},{"name" : "PcSeries","type" : "GAP_Attribute","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["PcSeries"]},{"name" : "IsPcgsElementaryAbelianSeries","type" : "GAP_Property","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IsPcgsElementaryAbelianSeries"]},{"name" : "PcgsElementaryAbelianSeries","type" : "GAP_Attribute","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PcgsElementaryAbelianSeries"]},{"name" : "IndicesEANormalSteps","type" : "GAP_Attribute","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IndicesEANormalSteps"]},{"name" : "EANormalSeriesByPcgs","type" : "GAP_Attribute","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["EANormalSeriesByPcgs"]},{"name" : "IsPcgsCentralSeries","type" : "GAP_Property","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IsPcgsCentralSeries"]},{"name" : "PcgsCentralSeries","type" : "GAP_Attribute","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PcgsCentralSeries"]},{"name" : "IndicesCentralNormalSteps","type" : "GAP_Attribute","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IndicesCentralNormalSteps"]},{"name" : "CentralNormalSeriesByPcgs","type" : "GAP_Attribute","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["CentralNormalSeriesByPcgs"]},{"name" : "IsPcgsPCentralSeriesPGroup","type" : "GAP_Property","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IsPcgsPCentralSeriesPGroup"]},{"name" : "PcgsPCentralSeriesPGroup","type" : "GAP_Attribute","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PcgsPCentralSeriesPGroup"]},{"name" : "IndicesPCentralNormalStepsPGroup","type" : "GAP_Attribute","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IndicesPCentralNormalStepsPGroup"]},{"name" : "PCentralNormalSeriesByPcgsPGroup","type" : "GAP_Attribute","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["PCentralNormalSeriesByPcgsPGroup"]},{"name" : "IsPcgsChiefSeries","type" : "GAP_Property","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IsPcgsChiefSeries"]},{"name" : "PcgsChiefSeries","type" : "GAP_Attribute","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PcgsChiefSeries"]},{"name" : "IndicesChiefNormalSteps","type" : "GAP_Attribute","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IndicesChiefNormalSteps"]},{"name" : "ChiefNormalSeriesByPcgs","type" : "GAP_Attribute","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["ChiefNormalSeriesByPcgs"]},{"name" : "IndicesNormalSteps","type" : "GAP_Attribute","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["IndicesNormalSteps"]},{"name" : "NormalSeriesByPcgs","type" : "GAP_Attribute","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsPcgs"],"aka" : ["NormalSeriesByPcgs"]},{"name" : "IsPrimeOrdersPcgs","type" : "GAP_Property","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsGeneralPcgs"],"aka" : ["IsPrimeOrdersPcgs"]},{"name" : "IsFiniteOrdersPcgs","type" : "GAP_Property","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsGeneralPcgs"],"aka" : ["IsFiniteOrdersPcgs"]},{"name" : "RefinedPcGroup","type" : "GAP_Attribute","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","IsMagmaWithInverses","IsAssociative"],"aka" : ["RefinedPcGroup"]},{"name" : "IsomorphismRefinedPcGroup","type" : "GAP_Attribute","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsomorphismRefinedPcGroup"]},{"name" : "LeadCoeffsIGS","type" : "GAP_Attribute","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsInducedPcgs"],"aka" : ["LeadCoeffsIGS"]},{"name" : "ParentPcgs","type" : "GAP_Attribute","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsInducedPcgs"],"aka" : ["ParentPcgs"]},{"name" : "CanonicalPcgs","type" : "GAP_Attribute","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsInducedPcgs"],"aka" : ["CanonicalPcgs"]},{"name" : "IsCanonicalPcgs","type" : "GAP_Property","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsInducedPcgs"],"aka" : ["IsCanonicalPcgs"]},{"name" : "IsParentPcgsFamilyPcgs","type" : "GAP_Property","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsInducedPcgs"],"aka" : ["IsParentPcgsFamilyPcgs"]},{"name" : "ElementaryAbelianSubseries","type" : "GAP_Attribute","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : ["IsPcgs"],"aka" : ["ElementaryAbelianSubseries"]},{"name" : "IsFamilyPcgs","type" : "GAP_Property","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"},"filters" : ["IsPcgs"],"aka" : ["IsFamilyPcgs"]},{"name" : "DenominatorOfModuloPcgs","type" : "GAP_Attribute","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : ["IsModuloPcgs"],"aka" : ["DenominatorOfModuloPcgs"]},{"name" : "NumeratorOfModuloPcgs","type" : "GAP_Attribute","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : ["IsModuloPcgs"],"aka" : ["NumeratorOfModuloPcgs"]},{"name" : "IsNumeratorParentPcgsFamilyPcgs","type" : "GAP_Property","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : ["IsModuloPcgs"],"aka" : ["IsNumeratorParentPcgsFamilyPcgs"]},{"name" : "IsSpecialPcgs","type" : "GAP_Property","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["IsSpecialPcgs"]},{"name" : "SpecialPcgs","type" : "GAP_Attribute","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["SpecialPcgs"]},{"name" : "LGHeads","type" : "GAP_Attribute","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["LGHeads"]},{"name" : "LGTails","type" : "GAP_Attribute","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["LGTails"]},{"name" : "LGWeights","type" : "GAP_Attribute","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["LGWeights"]},{"name" : "LGLayers","type" : "GAP_Attribute","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["LGLayers"]},{"name" : "LGFirst","type" : "GAP_Attribute","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["LGFirst"]},{"name" : "LGLength","type" : "GAP_Attribute","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["LGLength"]},{"name" : "InducedPcgsWrtSpecialPcgs","type" : "GAP_Attribute","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["InducedPcgsWrtSpecialPcgs"]},{"name" : "CanonicalPcgsWrtSpecialPcgs","type" : "GAP_Attribute","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CanonicalPcgsWrtSpecialPcgs"]},{"name" : "IsInducedPcgsWrtSpecialPcgs","type" : "GAP_Property","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["IsInducedPcgsWrtSpecialPcgs"]},{"name" : "IsCanonicalPcgsWrtSpecialPcgs","type" : "GAP_Property","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : ["IsPcgs"],"aka" : ["IsCanonicalPcgsWrtSpecialPcgs"]},{"name" : "CanonicalPcgsWrtFamilyPcgs","type" : "GAP_Attribute","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CanonicalPcgsWrtFamilyPcgs"]},{"name" : "CanonicalPcgsWrtHomePcgs","type" : "GAP_Attribute","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CanonicalPcgsWrtHomePcgs"]},{"name" : "FamilyPcgs","type" : "GAP_Attribute","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FamilyPcgs"]},{"name" : "HomePcgs","type" : "GAP_Attribute","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["HomePcgs"]},{"name" : "InducedPcgsWrtFamilyPcgs","type" : "GAP_Attribute","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["InducedPcgsWrtFamilyPcgs"]},{"name" : "ComputedInducedPcgses","type" : "GAP_Attribute","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedInducedPcgses"]},{"name" : "InducedPcgsWrtHomePcgs","type" : "GAP_Attribute","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["InducedPcgsWrtHomePcgs"]},{"name" : "Pcgs","type" : "GAP_Attribute","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Pcgs"]},{"name" : "GeneralizedPcgs","type" : "GAP_Attribute","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["GeneralizedPcgs"]},{"name" : "OmegaSeries","type" : "GAP_Attribute","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["OmegaSeries"]},{"name" : "NormalizerInHomePcgs","type" : "GAP_Attribute","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","Tester(HomePcgs)"],"aka" : ["NormalizerInHomePcgs"]},{"name" : "MultiplicationTable","type" : "GAP_Attribute","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"},"filters" : ["IsHomogeneousList"],"aka" : ["MultiplicationTable"]},{"name" : "AllBlocks","type" : "GAP_Attribute","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["AllBlocks"]},{"name" : "TransitiveIdentification","type" : "GAP_Attribute","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["TransitiveIdentification"]},{"name" : "PrimitiveIdentification","type" : "GAP_Attribute","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["PrimitiveIdentification"]},{"name" : "ONanScottType","type" : "GAP_Attribute","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["ONanScottType"]},{"name" : "SocleTypePrimitiveGroup","type" : "GAP_Attribute","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["SocleTypePrimitiveGroup"]},{"name" : "TwoClosure","type" : "GAP_Attribute","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["TwoClosure"]},{"name" : "AsGroupGeneralMappingByImages","type" : "GAP_Attribute","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["AsGroupGeneralMappingByImages"]},{"name" : "MappingOfWhichItIsAsGGMBI","type" : "GAP_Attribute","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["MappingOfWhichItIsAsGGMBI"]},{"name" : "NaturalHomomorphismByNormalSubgroupNCInParent","type" : "GAP_Attribute","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NaturalHomomorphismByNormalSubgroupInParent","NaturalHomomorphismByNormalSubgroupNCInParent"]},{"name" : "IsConjugatorIsomorphism","type" : "GAP_Property","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["IsConjugatorIsomorphism"]},{"name" : "IsInnerAutomorphism","type" : "GAP_Property","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["IsInnerAutomorphism"]},{"name" : "ConjugatorOfConjugatorIsomorphism","type" : "GAP_Attribute","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsConjugatorIsomorphism"],"aka" : ["ConjugatorInnerAutomorphism","ConjugatorOfConjugatorIsomorphism"]},{"name" : "ImagesSmallestGenerators","type" : "GAP_Attribute","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["ImagesSmallestGenerators"]},{"name" : "RegularActionHomomorphism","type" : "GAP_Attribute","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["RegularActionHomomorphism"]},{"name" : "DirectProductInfo","type" : "GAP_Attribute","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DirectProductInfo"]},{"name" : "SubdirectProductInfo","type" : "GAP_Attribute","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SubdirectProductInfo"]},{"name" : "SemidirectProductInfo","type" : "GAP_Attribute","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SemidirectProductInfo"]},{"name" : "WreathProductInfo","type" : "GAP_Attribute","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["WreathProductInfo"]},{"name" : "FreeProductInfo","type" : "GAP_Attribute","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FreeProductInfo"]},{"name" : "IsNaturalSymmetricGroup","type" : "GAP_Property","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["IsNaturalSymmetricGroup"]},{"name" : "IsNaturalAlternatingGroup","type" : "GAP_Property","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["IsNaturalAlternatingGroup"]},{"name" : "IsAlternatingGroup","type" : "GAP_Property","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsAlternatingGroup"]},{"name" : "IsSymmetricGroup","type" : "GAP_Property","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSymmetricGroup"]},{"name" : "SymmetricParentGroup","type" : "GAP_Attribute","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["SymmetricParentGroup"]},{"name" : "AlternatingSubgroup","type" : "GAP_Attribute","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["AlternatingSubgroup"]},{"name" : "OrbitStabilizingParentGroup","type" : "GAP_Attribute","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["OrbitStabilizingParentGroup"]},{"name" : "DirectFactorsOfGroup","type" : "GAP_Attribute","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DirectFactorsOfGroup"]},{"name" : "SemidirectFactorsOfGroup","type" : "GAP_Attribute","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SemidirectFactorsOfGroup"]},{"name" : "DecompositionTypesOfGroup","type" : "GAP_Attribute","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DecompositionTypes","DecompositionTypesOfGroup"]},{"name" : "IsDihedralGroup","type" : "GAP_Property","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsDihedralGroup"]},{"name" : "DihedralGenerators","type" : "GAP_Attribute","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DihedralGenerators"]},{"name" : "IsQuaternionGroup","type" : "GAP_Property","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsQuaternionGroup"]},{"name" : "QuaternionGenerators","type" : "GAP_Attribute","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["QuaternionGenerators"]},{"name" : "IsQuasiDihedralGroup","type" : "GAP_Property","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsQuasiDihedralGroup"]},{"name" : "QuasiDihedralGenerators","type" : "GAP_Attribute","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["QuasiDihedralGenerators"]},{"name" : "IsPSL","type" : "GAP_Property","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsPSL"]},{"name" : "ParametersOfGroupViewedAsPSL","type" : "GAP_Attribute","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ParametersOfGroupViewedAsPSL"]},{"name" : "ParametersOfGroupViewedAsSL","type" : "GAP_Attribute","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ParametersOfGroupViewedAsSL"]},{"name" : "ParametersOfGroupViewedAsGL","type" : "GAP_Attribute","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ParametersOfGroupViewedAsGL"]},{"name" : "AlternatingDegree","type" : "GAP_Attribute","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AlternatingDegree"]},{"name" : "SymmetricDegree","type" : "GAP_Attribute","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SymmetricDegree"]},{"name" : "PSLDegree","type" : "GAP_Attribute","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PSLDegree"]},{"name" : "PSLUnderlyingField","type" : "GAP_Attribute","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PSLUnderlyingField"]},{"name" : "SLDegree","type" : "GAP_Attribute","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SLDegree"]},{"name" : "SLUnderlyingField","type" : "GAP_Attribute","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SLUnderlyingField"]},{"name" : "GLDegree","type" : "GAP_Attribute","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["GLDegree"]},{"name" : "GLUnderlyingField","type" : "GAP_Attribute","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["GLUnderlyingField"]},{"name" : "StructureDescription","type" : "GAP_Attribute","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["StructureDescription"]},{"name" : "IsPQuotientSystem","type" : "GAP_Property","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : ["IsQuotientSystem"],"aka" : ["IsPQuotientSystem"]},{"name" : "IsNilpQuotientSystem","type" : "GAP_Property","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : ["IsQuotientSystem"],"aka" : ["IsNilpQuotientSystem"]},{"name" : "ActingDomain","type" : "GAP_Attribute","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ActingDomain"]},{"name" : "HomeEnumerator","type" : "GAP_Attribute","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["HomeEnumerator"]},{"name" : "ActionKernelExternalSet","type" : "GAP_Attribute","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ActionKernelExternalSet"]},{"name" : "LinearActionBasis","type" : "GAP_Attribute","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsLinearActionHomomorphism"],"aka" : ["LinearActionBasis"]},{"name" : "FunctionAction","type" : "GAP_Attribute","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["FunctionAction"]},{"name" : "StabilizerOfExternalSet","type" : "GAP_Attribute","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["StabiliserOfExternalSet","StabilizerOfExternalSet"]},{"name" : "CanonicalRepresentativeOfExternalSet","type" : "GAP_Attribute","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["CanonicalRepresentativeOfExternalSet"]},{"name" : "CanonicalRepresentativeDeterminatorOfExternalSet","type" : "GAP_Attribute","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["CanonicalRepresentativeDeterminatorOfExternalSet"]},{"name" : "CanEasilyDetermineCanonicalRepresentativeExternalSet","type" : "GAP_Attribute","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["CanEasilyDetermineCanonicalRepresentativeExternalSet"]},{"name" : "ActorOfExternalSet","type" : "GAP_Attribute","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ActorOfExternalSet","OperatorOfExternalSet"]},{"name" : "ActionHomomorphismAttr","type" : "GAP_Attribute","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ActionHomomorphismAttr"]},{"name" : "SurjectiveActionHomomorphismAttr","type" : "GAP_Attribute","location" : {"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["SurjectiveActionHomomorphismAttr"]},{"name" : "UnderlyingExternalSet","type" : "GAP_Attribute","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsActionHomomorphism"],"aka" : ["UnderlyingExternalSet"]},{"name" : "ExternalSet","type" : "GAP_Attribute","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ExternalSet"]},{"name" : "Orbits","type" : "GAP_Attribute","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["Orbits"]},{"name" : "OrbitsDomain","type" : "GAP_Attribute","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["OrbitsDomain"]},{"name" : "OrbitLengths","type" : "GAP_Attribute","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["OrbitLengths"]},{"name" : "OrbitLengthsDomain","type" : "GAP_Attribute","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["OrbitLengthsDomain"]},{"name" : "ExternalOrbits","type" : "GAP_Attribute","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ExternalOrbits"]},{"name" : "ExternalOrbitsStabilizers","type" : "GAP_Attribute","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["ExternalOrbitsStabilisers","ExternalOrbitsStabilizers"]},{"name" : "Transitivity","type" : "GAP_Attribute","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["Transitivity"]},{"name" : "BlocksAttr","type" : "GAP_Attribute","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["BlocksAttr"]},{"name" : "MaximalBlocksAttr","type" : "GAP_Attribute","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["MaximalBlocksAttr"]},{"name" : "RepresentativesMinimalBlocksAttr","type" : "GAP_Attribute","location" : {"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["RepresentativesMinimalBlocksAttr"]},{"name" : "Earns","type" : "GAP_Attribute","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["Earns"]},{"name" : "IsTransitive","type" : "GAP_Property","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["IsTransitive"]},{"name" : "IsPrimitive","type" : "GAP_Property","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["IsPrimitive"]},{"name" : "IsPrimitiveAffine","type" : "GAP_Property","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["IsPrimitiveAffine"]},{"name" : "IsSemiRegular","type" : "GAP_Property","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["IsSemiRegular"]},{"name" : "IsRegular","type" : "GAP_Property","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["IsRegular"]},{"name" : "RankAction","type" : "GAP_Attribute","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : ["IsExternalSet"],"aka" : ["RankAction"]},{"name" : "StabChainMutable","type" : "GAP_Attribute","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : ["IsObject"],"aka" : ["StabChainMutable"]},{"name" : "StabChainImmutable","type" : "GAP_Attribute","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : ["IsObject"],"aka" : ["StabChainImmutable"]},{"name" : "StabChainOptions","type" : "GAP_Attribute","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["StabChainOptions"]},{"name" : "BaseOfGroup","type" : "GAP_Attribute","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["BaseOfGroup"]},{"name" : "MinimalStabChain","type" : "GAP_Attribute","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["MinimalStabChain"]},{"name" : "DecomposedRationalClass","type" : "GAP_Attribute","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"filters" : ["IsRationalClassGroupRep"],"aka" : ["DecomposedRationalClass"]},{"name" : "StoredPermliftSeries","type" : "GAP_Attribute","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["StoredPermliftSeries"]},{"name" : "ComputedAscendingChains","type" : "GAP_Attribute","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ComputedAscendingChains"]},{"name" : "LeftActingGroup","type" : "GAP_Attribute","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : ["IsDoubleCoset"],"aka" : ["LeftActingGroup"]},{"name" : "RightActingGroup","type" : "GAP_Attribute","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : ["IsDoubleCoset"],"aka" : ["RightActingGroup"]},{"name" : "RepresentativesContainedRightCosets","type" : "GAP_Attribute","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : ["IsDoubleCoset"],"aka" : ["RepresentativesContainedRightCosets"]},{"name" : "NaturalHomomorphismsPool","type" : "GAP_Attribute","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NaturalHomomorphismsPool"]},{"name" : "SocleComplement","type" : "GAP_Attribute","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SocleComplement"]},{"name" : "SocleDimensions","type" : "GAP_Attribute","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SocleDimensions"]},{"name" : "ModuleOfExtension","type" : "GAP_Attribute","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ModuleOfExtension"]},{"name" : "OmegaAndLowerPCentralSeries","type" : "GAP_Attribute","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["OmegaAndLowerPCentralSeries"]},{"name" : "SchurCover","type" : "GAP_Attribute","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SchurCover"]},{"name" : "EpimorphismSchurCover","type" : "GAP_Attribute","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["EpimorphismSchurCover"]},{"name" : "AbelianInvariantsMultiplier","type" : "GAP_Attribute","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AbelianInvariantsMultiplier"]},{"name" : "Epicentre","type" : "GAP_Attribute","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Epicenter","Epicentre","ExteriorCenter","ExteriorCentre"]},{"name" : "IsCentralFactor","type" : "GAP_Property","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsCentralFactor"]},{"name" : "Zuppos","type" : "GAP_Attribute","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Zuppos"]},{"name" : "MaximalSubgroupsLattice","type" : "GAP_Attribute","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : ["IsLatticeSubgroupsRep"],"aka" : ["MaximalSubgroupsLattice"]},{"name" : "MinimalSupergroupsLattice","type" : "GAP_Attribute","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : ["IsLatticeSubgroupsRep"],"aka" : ["MinimalSupergroupsLattice"]},{"name" : "TomDataAlmostSimpleRecognition","type" : "GAP_Attribute","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["TomDataAlmostSimpleRecognition"]},{"name" : "IsFrattiniFree","type" : "GAP_Property","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsFrattiniFree"]},{"name" : "LinesOfStraightLineProgram","type" : "GAP_Attribute","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : ["IsStraightLineProgram"],"aka" : ["LinesOfStraightLineProgram"]},{"name" : "NrInputsOfStraightLineProgram","type" : "GAP_Attribute","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : ["IsStraightLineProgram"],"aka" : ["NrInputsOfStraightLineProgram"]},{"name" : "StraightLineProgElmType","type" : "GAP_Attribute","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : ["IsFamily"],"aka" : ["StraightLineProgElmType"]},{"name" : "SlotUsagePattern","type" : "GAP_Attribute","location" : {"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : ["IsStraightLineProgram"],"aka" : ["SlotUsagePattern"]},{"name" : "LargestNrSlots","type" : "GAP_Attribute","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : ["IsStraightLineProgram"],"aka" : ["LargestNrSlots"]},{"name" : "TypeOfObjWithMemory","type" : "GAP_Attribute","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"filters" : ["IsFamily"],"aka" : ["TypeOfObjWithMemory"]},{"name" : "FpElmEqualityMethod","type" : "GAP_Attribute","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["CategoryFamily(IsElementOfFpGroup)"],"aka" : ["FpElmEqualityMethod"]},{"name" : "FpElmComparisonMethod","type" : "GAP_Attribute","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["CategoryFamily(IsElementOfFpGroup)"],"aka" : ["FpElmComparisonMethod"]},{"name" : "FpElementNFFunction","type" : "GAP_Attribute","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["CategoryFamily(IsElementOfFpGroup)"],"aka" : ["FpElementNFFunction"]},{"name" : "CosetTableInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CosetTableInWholeGroup"]},{"name" : "CosetTableNormalClosureInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CosetTableNormalClosureInWholeGroup"]},{"name" : "AsSubgroupOfWholeGroupByQuotient","type" : "GAP_Attribute","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup"],"aka" : ["AsSubgroupOfWholeGroupByQuotient"]},{"name" : "FreeGeneratorsOfFpGroup","type" : "GAP_Attribute","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup","IsGroupOfFamily"],"aka" : ["FreeGeneratorsOfFpGroup"]},{"name" : "RelatorsOfFpGroup","type" : "GAP_Attribute","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup","IsGroupOfFamily"],"aka" : ["RelatorsOfFpGroup"]},{"name" : "FreeGroupOfFpGroup","type" : "GAP_Attribute","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup","IsGroupOfFamily"],"aka" : ["FreeGroupOfFpGroup"]},{"name" : "IndicesInvolutaryGenerators","type" : "GAP_Attribute","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup","IsGroupOfFamily"],"aka" : ["IndicesInvolutaryGenerators"]},{"name" : "StoredExcludedOrders","type" : "GAP_Attribute","location" : {"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsSubgroupFpGroup"],"aka" : ["StoredExcludedOrders"]},{"name" : "FPFaithHom","type" : "GAP_Attribute","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : ["IsFamily"],"aka" : ["FPFaithHom"]},{"name" : "AugmentedCosetTableMtcInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AugmentedCosetTableMtcInWholeGroup"]},{"name" : "AugmentedCosetTableRrsInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AugmentedCosetTableRrsInWholeGroup"]},{"name" : "AugmentedCosetTableNormalClosureInWholeGroup","type" : "GAP_Attribute","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["AugmentedCosetTableNormalClosureInWholeGroup"]},{"name" : "PrimaryGeneratorWords","type" : "GAP_Attribute","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : ["IsPresentation"],"aka" : ["PrimaryGeneratorWords"]},{"name" : "TietzeOrigin","type" : "GAP_Attribute","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : ["IsSubgroupFpGroup"],"aka" : ["TietzeOrigin"]},{"name" : "TzOptions","type" : "GAP_Attribute","location" : {"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : ["IsPresentation"],"aka" : ["TzOptions"]},{"name" : "IsWordDecompHomomorphism","type" : "GAP_Property","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : ["IsGroupGeneralMappingByImages"],"aka" : ["IsWordDecompHomomorphism"]},{"name" : "CosetTableFpHom","type" : "GAP_Attribute","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["CosetTableFpHom"]},{"name" : "IsomorphismSimplifiedFpGroup","type" : "GAP_Attribute","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : ["IsSubgroupFpGroup"],"aka" : ["IsomorphismSimplifiedFpGroup"]},{"name" : "EpimorphismFromFreeGroup","type" : "GAP_Attribute","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["EpimorphismFromFreeGroup"]},{"name" : "NiceMonomorphism","type" : "GAP_Attribute","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsObject"],"aka" : ["NiceMonomorphism"]},{"name" : "IsCanonicalNiceMonomorphism","type" : "GAP_Property","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsGeneralMapping","RespectsMultiplication","RespectsInverses"],"aka" : ["IsCanonicalNiceMonomorphism"]},{"name" : "CanonicalNiceMonomorphism","type" : "GAP_Attribute","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsObject"],"aka" : ["CanonicalNiceMonomorphism"]},{"name" : "NiceObject","type" : "GAP_Attribute","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsObject"],"aka" : ["NiceObject"]},{"name" : "IsHandledByNiceMonomorphism","type" : "GAP_Property","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsObject"],"aka" : ["IsHandledByNiceMonomorphism"]},{"name" : "SeedFaithfulAction","type" : "GAP_Attribute","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["SeedFaithfulAction"]},{"name" : "AutomorphismGroup","type" : "GAP_Attribute","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsGeneralizedDomain","IsCollection"],"aka" : ["AutomorphismGroup"]},{"name" : "IsGroupOfAutomorphisms","type" : "GAP_Property","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsGroupOfAutomorphisms"]},{"name" : "IsGroupOfAutomorphismsFiniteGroup","type" : "GAP_Property","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsGroupOfAutomorphismsFiniteGroup"]},{"name" : "AutomorphismDomain","type" : "GAP_Attribute","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsGroupOfAutomorphisms"],"aka" : ["AutomorphismDomain"]},{"name" : "IsAutomorphismGroup","type" : "GAP_Property","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsGroupOfAutomorphisms"],"aka" : ["IsAutomorphismGroup"]},{"name" : "InnerAutomorphismsAutomorphismGroup","type" : "GAP_Attribute","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["InnerAutomorphismsAutomorphismGroup"]},{"name" : "DefaultFieldOfMatrixGroup","type" : "GAP_Attribute","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["DefaultFieldOfMatrixGroup"]},{"name" : "DimensionOfMatrixGroup","type" : "GAP_Attribute","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["DegreeOfMatrixGroup","DimensionOfMatrixGroup"]},{"name" : "FieldOfMatrixGroup","type" : "GAP_Attribute","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["FieldOfMatrixGroup"]},{"name" : "TransposedMatrixGroup","type" : "GAP_Attribute","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["TransposedMatrixGroup"]},{"name" : "IsGeneralLinearGroup","type" : "GAP_Property","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsGL","IsGeneralLinearGroup"]},{"name" : "IsNaturalGL","type" : "GAP_Property","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsNaturalGL"]},{"name" : "IsSpecialLinearGroup","type" : "GAP_Property","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSL","IsSpecialLinearGroup"]},{"name" : "IsNaturalSL","type" : "GAP_Property","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsNaturalSL"]},{"name" : "IsSubgroupSL","type" : "GAP_Property","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSubgroupSL"]},{"name" : "InvariantBilinearForm","type" : "GAP_Attribute","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["InvariantBilinearForm"]},{"name" : "IsFullSubgroupGLorSLRespectingBilinearForm","type" : "GAP_Property","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsFullSubgroupGLorSLRespectingBilinearForm"]},{"name" : "InvariantSesquilinearForm","type" : "GAP_Attribute","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["InvariantSesquilinearForm"]},{"name" : "IsFullSubgroupGLorSLRespectingSesquilinearForm","type" : "GAP_Property","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsFullSubgroupGLorSLRespectingSesquilinearForm"]},{"name" : "InvariantQuadraticForm","type" : "GAP_Attribute","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["InvariantQuadraticForm"]},{"name" : "IsFullSubgroupGLorSLRespectingQuadraticForm","type" : "GAP_Property","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsFullSubgroupGLorSLRespectingQuadraticForm"]},{"name" : "FittingFreeLiftSetup","type" : "GAP_Attribute","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FittingFreeLiftSetup"]},{"name" : "RecogDecompinfoHomomorphism","type" : "GAP_Attribute","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : ["IsGeneralMapping","IsTotal","IsSingleValued"],"aka" : ["RecogDecompinfoHomomorphism"]},{"name" : "DirectFactorsFittingFreeSocle","type" : "GAP_Attribute","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DirectFactorsFittingFreeSocle"]},{"name" : "ChiefSeriesTF","type" : "GAP_Attribute","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ChiefSeriesTF"]},{"name" : "IsRationalMatrixGroup","type" : "GAP_Property","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsRationalMatrixGroup"]},{"name" : "IsIntegerMatrixGroup","type" : "GAP_Property","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsIntegerMatrixGroup"]},{"name" : "ZClassRepsQClass","type" : "GAP_Attribute","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["ZClassRepsQClass"]},{"name" : "NormalizerInGLnZ","type" : "GAP_Attribute","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["NormaliserInGLnZ","NormalizerInGLnZ"]},{"name" : "CentralizerInGLnZ","type" : "GAP_Attribute","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["CentraliserInGLnZ","CentralizerInGLnZ"]},{"name" : "IsBravaisGroup","type" : "GAP_Property","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsBravaisGroup"]},{"name" : "BravaisGroup","type" : "GAP_Attribute","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["BravaisGroup"]},{"name" : "BravaisSubgroups","type" : "GAP_Attribute","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["BravaisSubgroups"]},{"name" : "BravaisSupergroups","type" : "GAP_Attribute","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["BravaisSupergroups"]},{"name" : "NormalizerInGLnZBravaisGroup","type" : "GAP_Attribute","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["NormaliserInGLnZBravaisGroup","NormalizerInGLnZBravaisGroup"]},{"name" : "InvariantLattice","type" : "GAP_Attribute","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["InvariantLattice"]},{"name" : "PerfectIdentification","type" : "GAP_Attribute","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["PerfectIdentification"]},{"name" : "DataAboutSimpleGroup","type" : "GAP_Attribute","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DataAboutSimpleGroup"]},{"name" : "ImfRecord","type" : "GAP_Attribute","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["ImfRecord"]},{"name" : "OrderingsFamily","type" : "GAP_Attribute","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsFamily"],"aka" : ["OrderingsFamily"]},{"name" : "IsWellFoundedOrdering","type" : "GAP_Property","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["IsWellFoundedOrdering"]},{"name" : "IsTotalOrdering","type" : "GAP_Property","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["IsTotalOrdering"]},{"name" : "FamilyForOrdering","type" : "GAP_Attribute","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["FamilyForOrdering"]},{"name" : "LessThanFunction","type" : "GAP_Attribute","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["LessThanFunction"]},{"name" : "LessThanOrEqualFunction","type" : "GAP_Attribute","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["LessThanOrEqualFunction"]},{"name" : "IsOrderingOnFamilyOfAssocWords","type" : "GAP_Property","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["IsOrderingOnFamilyOfAssocWords"]},{"name" : "LetterRepWordsLessFunc","type" : "GAP_Attribute","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrderingOnFamilyOfAssocWords"],"aka" : ["LetterRepWordsLessFunc"]},{"name" : "IsTranslationInvariantOrdering","type" : "GAP_Property","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsOrderingOnFamilyOfAssocWords"],"aka" : ["IsTranslationInvariantOrdering"]},{"name" : "OrderingOnGenerators","type" : "GAP_Attribute","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsOrderingOnFamilyOfAssocWords"],"aka" : ["OrderingOnGenerators"]},{"name" : "IsShortLexOrdering","type" : "GAP_Property","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsOrderingOnFamilyOfAssocWords"],"aka" : ["IsShortLexOrdering"]},{"name" : "WeightOfGenerators","type" : "GAP_Attribute","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsOrderingOnFamilyOfAssocWords"],"aka" : ["WeightOfGenerators"]},{"name" : "IsWeightLexOrdering","type" : "GAP_Property","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsOrderingOnFamilyOfAssocWords"],"aka" : ["IsWeightLexOrdering"]},{"name" : "IsBasicWreathProductOrdering","type" : "GAP_Property","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["IsBasicWreathProductOrdering"]},{"name" : "IsWreathProductOrdering","type" : "GAP_Property","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering"],"aka" : ["IsWreathProductOrdering"]},{"name" : "LevelsOfGenerators","type" : "GAP_Attribute","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : ["IsOrdering","IsWreathProductOrdering"],"aka" : ["LevelsOfGenerators"]},{"name" : "LargestImageOfMovedPoint","type" : "GAP_Attribute","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["LargestImageOfMovedPoint"]},{"name" : "SmallestImageOfMovedPoint","type" : "GAP_Attribute","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["SmallestImageOfMovedPoint"]},{"name" : "RankOfTransformation","type" : "GAP_Attribute","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["RankOfTransformation"]},{"name" : "AsPermutation","type" : "GAP_Attribute","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsAssociativeElement"],"aka" : ["AsPermutation"]},{"name" : "AsTransformation","type" : "GAP_Attribute","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsAssociativeElement"],"aka" : ["AsTransformation"]},{"name" : "DegreeOfTransformationCollection","type" : "GAP_Attribute","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["CategoryCollections(IsTransformation)"],"aka" : ["DegreeOfTransformationCollection"]},{"name" : "FlatKernelOfTransformation","type" : "GAP_Attribute","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["FlatKernelOfTransformation"]},{"name" : "IsFlatKernelOfTransformation","type" : "GAP_Property","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsHomogeneousList"],"aka" : ["IsFlatKernelOfTransformation"]},{"name" : "ImageSetOfTransformation","type" : "GAP_Attribute","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["ImageSetOfTransformation"]},{"name" : "KernelOfTransformation","type" : "GAP_Attribute","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["KernelOfTransformation"]},{"name" : "SmallestIdempotentPower","type" : "GAP_Attribute","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsAssociativeElement"],"aka" : ["SmallestIdempotentPower"]},{"name" : "ComponentRepsOfTransformation","type" : "GAP_Attribute","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["ComponentRepsOfTransformation"]},{"name" : "NrComponentsOfTransformation","type" : "GAP_Attribute","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["NrComponentsOfTransformation"]},{"name" : "ComponentsOfTransformation","type" : "GAP_Attribute","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["ComponentsOfTransformation"]},{"name" : "CyclesOfTransformation","type" : "GAP_Attribute","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsTransformation"],"aka" : ["CyclesOfTransformation"]},{"name" : "LeftOne","type" : "GAP_Attribute","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsAssociativeElement"],"aka" : ["LeftOne"]},{"name" : "RightOne","type" : "GAP_Attribute","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : ["IsAssociativeElement"],"aka" : ["RightOne"]},{"name" : "DomainOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["DomainOfPartialPerm"]},{"name" : "ImageListOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["ImageListOfPartialPerm"]},{"name" : "ImageSetOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["ImageSetOfPartialPerm"]},{"name" : "IndexPeriodOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["IndexPeriodOfPartialPerm"]},{"name" : "ComponentRepsOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["ComponentRepsOfPartialPerm"]},{"name" : "NrComponentsOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["NrComponentsOfPartialPerm"]},{"name" : "ComponentsOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["ComponentsOfPartialPerm"]},{"name" : "FixedPointsOfPartialPerm","type" : "GAP_Attribute","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["FixedPointsOfPartialPerm"]},{"name" : "NrFixedPoints","type" : "GAP_Attribute","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["IsPartialPerm"],"aka" : ["NrFixedPoints"]},{"name" : "DegreeOfPartialPermCollection","type" : "GAP_Attribute","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["CategoryCollections(IsPartialPerm)"],"aka" : ["DegreeOfPartialPermCollection"]},{"name" : "CodegreeOfPartialPermCollection","type" : "GAP_Attribute","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["CategoryCollections(IsPartialPerm)"],"aka" : ["CodegreeOfPartialPermCollection"]},{"name" : "RankOfPartialPermCollection","type" : "GAP_Attribute","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["CategoryCollections(IsPartialPerm)"],"aka" : ["RankOfPartialPermCollection"]},{"name" : "DomainOfPartialPermCollection","type" : "GAP_Attribute","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["CategoryCollections(IsPartialPerm)"],"aka" : ["DomainOfPartialPermCollection"]},{"name" : "ImageOfPartialPermCollection","type" : "GAP_Attribute","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : ["CategoryCollections(IsPartialPerm)"],"aka" : ["ImageOfPartialPermCollection"]},{"name" : "TransformationRepresentation","type" : "GAP_Attribute","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"},"filters" : ["IsGeneralMapping","IsTotal","IsSingleValued","IsEndoGeneralMapping"],"aka" : ["TransformationRepresentation"]},{"name" : "FreeGeneratorsOfFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsElementOfFpSemigroup)","IsWholeFamily"],"aka" : ["FreeGeneratorsOfFpSemigroup"]},{"name" : "FreeSemigroupOfFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsElementOfFpSemigroup)","IsWholeFamily"],"aka" : ["FreeSemigroupOfFpSemigroup"]},{"name" : "RelationsOfFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsElementOfFpSemigroup)","IsWholeFamily"],"aka" : ["RelationsOfFpSemigroup"]},{"name" : "IsomorphismFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismFpSemigroup"]},{"name" : "FreeGeneratorsOfFpMonoid","type" : "GAP_Attribute","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : ["IsMagmaWithOne","IsAssociative","CategoryCollections(IsElementOfFpMonoid)","IsWholeFamily"],"aka" : ["FreeGeneratorsOfFpMonoid"]},{"name" : "FreeMonoidOfFpMonoid","type" : "GAP_Attribute","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : ["IsMagmaWithOne","IsAssociative","CategoryCollections(IsElementOfFpMonoid)","IsWholeFamily"],"aka" : ["FreeMonoidOfFpMonoid"]},{"name" : "RelationsOfFpMonoid","type" : "GAP_Attribute","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : ["IsMagmaWithOne","IsAssociative","CategoryCollections(IsElementOfFpMonoid)","IsWholeFamily"],"aka" : ["RelationsOfFpMonoid"]},{"name" : "IsomorphismFpMonoid","type" : "GAP_Attribute","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : ["IsMagmaWithOne","IsAssociative"],"aka" : ["IsomorphismFpMonoid"]},{"name" : "ReducedConfluentRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["ReducedConfluentRewritingSystem"]},{"name" : "FreeMonoidOfRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["FreeMonoidOfRewritingSystem"]},{"name" : "FamilyForRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["FamilyForRewritingSystem"]},{"name" : "FreeSemigroupOfRewritingSystem","type" : "GAP_Attribute","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : ["IsRewritingSystem"],"aka" : ["FreeSemigroupOfRewritingSystem"]},{"name" : "TzRules","type" : "GAP_Attribute","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"},"filters" : ["IsKnuthBendixRewritingSystem"],"aka" : ["TzRules"]},{"name" : "CosetTableOfFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"},"filters" : ["IsRightMagmaCongruence"],"aka" : ["CosetTableOfFpSemigroup"]},{"name" : "AdjoinedIdentityFamily","type" : "GAP_Attribute","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsFamily"],"aka" : ["AdjoinedIdentityFamily"]},{"name" : "UnderlyingSemigroupFamily","type" : "GAP_Attribute","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsFamily"],"aka" : ["UnderlyingSemigroupFamily"]},{"name" : "AdjoinedIdentityDefaultType","type" : "GAP_Attribute","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsFamily"],"aka" : ["AdjoinedIdentityDefaultType"]},{"name" : "MonoidByAdjoiningIdentity","type" : "GAP_Attribute","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["MonoidByAdjoiningIdentity"]},{"name" : "UnderlyingSemigroupOfMonoidByAdjoiningIdentity","type" : "GAP_Attribute","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsMonoidByAdjoiningIdentity"],"aka" : ["UnderlyingSemigroupOfMonoidByAdjoiningIdentity"]},{"name" : "MonoidByAdjoiningIdentityElt","type" : "GAP_Attribute","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsMultiplicativeElement","IsAssociativeElement"],"aka" : ["MonoidByAdjoiningIdentityElt"]},{"name" : "UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt","type" : "GAP_Attribute","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : ["IsMonoidByAdjoiningIdentityElt"],"aka" : ["UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt"]},{"name" : "IsFiniteSemigroupGreensRelation","type" : "GAP_Property","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensRelation"],"aka" : ["IsFiniteSemigroupGreensRelation"]},{"name" : "GreensRRelation","type" : "GAP_Attribute","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensRRelation"]},{"name" : "GreensLRelation","type" : "GAP_Attribute","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensLRelation"]},{"name" : "GreensJRelation","type" : "GAP_Attribute","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensJRelation"]},{"name" : "GreensDRelation","type" : "GAP_Attribute","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensDRelation"]},{"name" : "GreensHRelation","type" : "GAP_Attribute","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensHRelation"]},{"name" : "AssociatedConcreteSemigroup","type" : "GAP_Attribute","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsElementOfFpSemigroup)","IsWholeFamily"],"aka" : ["AssociatedConcreteSemigroup"]},{"name" : "AssociatedFpSemigroup","type" : "GAP_Attribute","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["AssociatedFpSemigroup"]},{"name" : "GreensRClasses","type" : "GAP_Attribute","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensRClasses"]},{"name" : "GreensLClasses","type" : "GAP_Attribute","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensLClasses"]},{"name" : "GreensJClasses","type" : "GAP_Attribute","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensJClasses"]},{"name" : "GreensDClasses","type" : "GAP_Attribute","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensDClasses"]},{"name" : "GreensHClasses","type" : "GAP_Attribute","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["GreensHClasses"]},{"name" : "RClassOfHClass","type" : "GAP_Attribute","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensHClass"],"aka" : ["RClassOfHClass"]},{"name" : "LClassOfHClass","type" : "GAP_Attribute","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensHClass"],"aka" : ["LClassOfHClass"]},{"name" : "DClassOfHClass","type" : "GAP_Attribute","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensHClass"],"aka" : ["DClassOfHClass"]},{"name" : "DClassOfLClass","type" : "GAP_Attribute","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensLClass"],"aka" : ["DClassOfLClass"]},{"name" : "DClassOfRClass","type" : "GAP_Attribute","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensRClass"],"aka" : ["DClassOfRClass"]},{"name" : "GroupHClassOfGreensDClass","type" : "GAP_Attribute","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensDClass"],"aka" : ["GroupHClassOfGreensDClass"]},{"name" : "IsRegularDClass","type" : "GAP_Property","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensDClass"],"aka" : ["IsRegularDClass"]},{"name" : "IsGroupHClass","type" : "GAP_Property","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensHClass"],"aka" : ["IsGroupHClass"]},{"name" : "EggBoxOfDClass","type" : "GAP_Attribute","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensDClass"],"aka" : ["EggBoxOfDClass"]},{"name" : "InternalRepGreensRelation","type" : "GAP_Attribute","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensRelation"],"aka" : ["InternalRepGreensRelation"]},{"name" : "CanonicalGreensClass","type" : "GAP_Attribute","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsGreensClass"],"aka" : ["CanonicalGreensClass"]},{"name" : "IsFpSemigpReducedElt","type" : "GAP_Property","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsElementOfFpSemigroup"],"aka" : ["IsFpSemigpReducedElt"]},{"name" : "IsFpMonoidReducedElt","type" : "GAP_Property","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : ["IsElementOfFpMonoid"],"aka" : ["IsFpMonoidReducedElt"]},{"name" : "IsFullTransformationSemigroup","type" : "GAP_Property","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsFullTransformationMonoid","IsFullTransformationSemigroup"]},{"name" : "DegreeOfTransformationSemigroup","type" : "GAP_Attribute","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsTransformation)"],"aka" : ["DegreeOfTransformationSemigroup"]},{"name" : "IsomorphismTransformationSemigroup","type" : "GAP_Attribute","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismTransformationSemigroup"]},{"name" : "IsomorphismTransformationMonoid","type" : "GAP_Attribute","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismTransformationMonoid"]},{"name" : "AntiIsomorphismTransformationSemigroup","type" : "GAP_Attribute","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["AntiIsomorphismTransformationSemigroup"]},{"name" : "IsReesMatrixSemigroup","type" : "GAP_Property","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsReesMatrixSemigroup"]},{"name" : "IsReesZeroMatrixSemigroup","type" : "GAP_Property","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsReesZeroMatrixSemigroup"]},{"name" : "Matrix","type" : "GAP_Attribute","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["Matrix","MatrixOfReesMatrixSemigroup","MatrixOfReesZeroMatrixSemigroup"]},{"name" : "Rows","type" : "GAP_Attribute","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["Rows","RowsOfReesMatrixSemigroup","RowsOfReesZeroMatrixSemigroup"]},{"name" : "Columns","type" : "GAP_Attribute","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["Columns","ColumnsOfReesMatrixSemigroup","ColumnsOfReesZeroMatrixSemigroup"]},{"name" : "UnderlyingSemigroup","type" : "GAP_Attribute","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["UnderlyingSemigroup","UnderlyingSemigroupOfReesMatrixSemigroup","UnderlyingSemigroupOfReesZeroMatrixSemigroup"]},{"name" : "AssociatedReesMatrixSemigroupOfDClass","type" : "GAP_Attribute","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsGreensDClass"],"aka" : ["AssociatedReesMatrixSemigroupOfDClass"]},{"name" : "IsomorphismReesMatrixSemigroup","type" : "GAP_Attribute","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismReesMatrixSemigroup"]},{"name" : "IsomorphismReesZeroMatrixSemigroup","type" : "GAP_Attribute","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismReesZeroMatrixSemigroup"]},{"name" : "ReesMatrixSemigroupOfFamily","type" : "GAP_Attribute","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsFamily"],"aka" : ["ReesMatrixSemigroupOfFamily"]},{"name" : "TypeReesMatrixSemigroupElements","type" : "GAP_Attribute","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsReesMatrixSemigroupElement)"],"aka" : ["TypeReesMatrixSemigroupElements"]},{"name" : "QuotientSemigroupPreimage","type" : "GAP_Attribute","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : ["IsQuotientSemigroup"],"aka" : ["QuotientSemigroupPreimage"]},{"name" : "QuotientSemigroupCongruence","type" : "GAP_Attribute","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : ["IsQuotientSemigroup"],"aka" : ["QuotientSemigroupCongruence"]},{"name" : "QuotientSemigroupHomomorphism","type" : "GAP_Attribute","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : ["IsQuotientSemigroup"],"aka" : ["QuotientSemigroupHomomorphism"]},{"name" : "DegreeOfPartialPermSemigroup","type" : "GAP_Attribute","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsPartialPerm)"],"aka" : ["DegreeOfPartialPermSemigroup"]},{"name" : "CodegreeOfPartialPermSemigroup","type" : "GAP_Attribute","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsPartialPerm)"],"aka" : ["CodegreeOfPartialPermSemigroup"]},{"name" : "RankOfPartialPermSemigroup","type" : "GAP_Attribute","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsPartialPerm)"],"aka" : ["RankOfPartialPermSemigroup"]},{"name" : "IsSymmetricInverseSemigroup","type" : "GAP_Property","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative","CategoryCollections(IsPartialPerm)"],"aka" : ["IsSymmetricInverseMonoid","IsSymmetricInverseSemigroup"]},{"name" : "IsomorphismPartialPermSemigroup","type" : "GAP_Attribute","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismPartialPermSemigroup"]},{"name" : "IsomorphismPartialPermMonoid","type" : "GAP_Attribute","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : ["IsMagma","IsAssociative"],"aka" : ["IsomorphismPartialPermMonoid"]},{"name" : "UnderlyingGroup","type" : "GAP_Attribute","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["UnderlyingGroup"]},{"name" : "IdentificationOfConjugacyClasses","type" : "GAP_Attribute","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["IdentificationOfConjugacyClasses"]},{"name" : "CharacterDegrees","type" : "GAP_Attribute","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["CharacterDegrees"]},{"name" : "Irr","type" : "GAP_Attribute","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Irr"]},{"name" : "LinearCharacters","type" : "GAP_Attribute","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["LinearCharacters"]},{"name" : "IBr","type" : "GAP_Attribute","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsBrauerTable"],"aka" : ["IBr"]},{"name" : "OrdinaryCharacterTable","type" : "GAP_Attribute","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["OrdinaryCharacterTable"]},{"name" : "IsAlmostSimpleCharacterTable","type" : "GAP_Property","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsAlmostSimpleCharacterTable"]},{"name" : "IsMonomialCharacterTable","type" : "GAP_Property","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsMonomialCharacterTable"]},{"name" : "IsNilpotentCharacterTable","type" : "GAP_Property","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsNilpotentCharacterTable"]},{"name" : "IsPerfectCharacterTable","type" : "GAP_Property","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsPerfectCharacterTable"]},{"name" : "IsSimpleCharacterTable","type" : "GAP_Property","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsSimpleCharacterTable"]},{"name" : "IsSolvableCharacterTable","type" : "GAP_Property","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsSolubleCharacterTable","IsSolvableCharacterTable"]},{"name" : "IsSporadicSimpleCharacterTable","type" : "GAP_Property","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsSporadicSimpleCharacterTable"]},{"name" : "IsSupersolvableCharacterTable","type" : "GAP_Property","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["IsSupersolubleCharacterTable","IsSupersolvableCharacterTable"]},{"name" : "OrdersClassRepresentatives","type" : "GAP_Attribute","location" : {"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["OrdersClassRepresentatives"]},{"name" : "SizesCentralizers","type" : "GAP_Attribute","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["SizesCentralisers","SizesCentralizers"]},{"name" : "SizesConjugacyClasses","type" : "GAP_Attribute","location" : {"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["SizesConjugacyClasses"]},{"name" : "AutomorphismsOfTable","type" : "GAP_Attribute","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["AutomorphismsOfTable"]},{"name" : "UnderlyingCharacteristic","type" : "GAP_Attribute","location" : {"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["UnderlyingCharacteristic"]},{"name" : "ClassNames","type" : "GAP_Attribute","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["ClassNames"]},{"name" : "CharacterNames","type" : "GAP_Attribute","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["CharacterNames"]},{"name" : "ClassParameters","type" : "GAP_Attribute","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["ClassParameters"]},{"name" : "CharacterParameters","type" : "GAP_Attribute","location" : {"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["CharacterParameters"]},{"name" : "Identifier","type" : "GAP_Attribute","location" : {"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["Identifier"]},{"name" : "InverseClasses","type" : "GAP_Attribute","location" : {"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["InverseClasses"]},{"name" : "RealClasses","type" : "GAP_Attribute","location" : {"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["RealClasses"]},{"name" : "ClassRoots","type" : "GAP_Attribute","location" : {"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsCharacterTable"],"aka" : ["ClassRoots"]},{"name" : "ClassPositionsOfNormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfNormalSubgroups"]},{"name" : "ClassPositionsOfMaximalNormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfMaximalNormalSubgroups"]},{"name" : "ClassPositionsOfMinimalNormalSubgroups","type" : "GAP_Attribute","location" : {"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfMinimalNormalSubgroups"]},{"name" : "ClassPositionsOfCentre","type" : "GAP_Attribute","location" : {"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfCenter","ClassPositionsOfCentre"]},{"name" : "ClassPositionsOfDirectProductDecompositions","type" : "GAP_Attribute","location" : {"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfDirectProductDecompositions"]},{"name" : "ClassPositionsOfDerivedSubgroup","type" : "GAP_Attribute","location" : {"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfDerivedSubgroup"]},{"name" : "ClassPositionsOfElementaryAbelianSeries","type" : "GAP_Attribute","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfElementaryAbelianSeries"]},{"name" : "ClassPositionsOfFittingSubgroup","type" : "GAP_Attribute","location" : {"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfFittingSubgroup"]},{"name" : "ClassPositionsOfSolvableRadical","type" : "GAP_Attribute","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfSolvableRadical"]},{"name" : "ClassPositionsOfLowerCentralSeries","type" : "GAP_Attribute","location" : {"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfLowerCentralSeries"]},{"name" : "ClassPositionsOfUpperCentralSeries","type" : "GAP_Attribute","location" : {"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfUpperCentralSeries"]},{"name" : "ClassPositionsOfSolvableResiduum","type" : "GAP_Attribute","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfSolubleResiduum","ClassPositionsOfSolvableResiduum"]},{"name" : "ClassPositionsOfSupersolvableResiduum","type" : "GAP_Attribute","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ClassPositionsOfSupersolvableResiduum"]},{"name" : "ComputedPrimeBlockss","type" : "GAP_Attribute","location" : {"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ComputedPrimeBlockss"]},{"name" : "BlocksInfo","type" : "GAP_Attribute","location" : {"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["BlocksInfo"]},{"name" : "DecompositionMatrix","type" : "GAP_Attribute","location" : {"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsBrauerTable"],"aka" : ["DecompositionMatrix"]},{"name" : "ComputedIsPSolvableCharacterTables","type" : "GAP_Attribute","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ComputedIsPSolubleCharacterTables","ComputedIsPSolvableCharacterTables"]},{"name" : "ComputedIndicators","type" : "GAP_Attribute","location" : {"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsCharacterTable"],"aka" : ["ComputedIndicators"]},{"name" : "ComputedBrauerTables","type" : "GAP_Attribute","location" : {"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["ComputedBrauerTables"]},{"name" : "DisplayOptions","type" : "GAP_Attribute","location" : {"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["DisplayOptions"]},{"name" : "FactorsOfDirectProduct","type" : "GAP_Attribute","location" : {"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["FactorsOfDirectProduct"]},{"name" : "CharacterTableIsoclinic","type" : "GAP_Attribute","location" : {"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["CharacterTableIsoclinic"]},{"name" : "SourceOfIsoclinicTable","type" : "GAP_Attribute","location" : {"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["SourceOfIsoclinicTable"]},{"name" : "ClassPermutation","type" : "GAP_Attribute","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["ClassPermutation"]},{"name" : "NormalSubgroupClassesInfo","type" : "GAP_Attribute","location" : {"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : ["IsOrdinaryTable"],"aka" : ["NormalSubgroupClassesInfo"]},{"name" : "UnderlyingCharacterTable","type" : "GAP_Attribute","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["UnderlyingCharacterTable"]},{"name" : "ValuesOfClassFunction","type" : "GAP_Attribute","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["ValuesOfClassFunction"]},{"name" : "GlobalPartitionOfClasses","type" : "GAP_Attribute","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["GlobalPartitionOfClasses"]},{"name" : "TrivialCharacter","type" : "GAP_Attribute","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["TrivialCharacter"]},{"name" : "NaturalCharacter","type" : "GAP_Attribute","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["NaturalCharacter"]},{"name" : "IsCharacter","type" : "GAP_Property","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsCharacter"]},{"name" : "IsVirtualCharacter","type" : "GAP_Property","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsVirtualCharacter"]},{"name" : "IsIrreducibleCharacter","type" : "GAP_Property","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsIrreducibleCharacter"]},{"name" : "CentreOfCharacter","type" : "GAP_Attribute","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["CenterOfCharacter","CentreOfCharacter"]},{"name" : "ConstituentsOfCharacter","type" : "GAP_Attribute","location" : {"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["ConstituentsOfCharacter"]},{"name" : "DegreeOfCharacter","type" : "GAP_Attribute","location" : {"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["DegreeOfCharacter"]},{"name" : "KernelOfCharacter","type" : "GAP_Attribute","location" : {"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["KernelOfCharacter"]},{"name" : "ClassPositionsOfKernel","type" : "GAP_Attribute","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsHomogeneousList"],"aka" : ["ClassPositionsOfKernel"]},{"name" : "CentralCharacter","type" : "GAP_Attribute","location" : {"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["CentralCharacter"]},{"name" : "DeterminantOfCharacter","type" : "GAP_Attribute","location" : {"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["IsClassFunction"],"aka" : ["DeterminantOfCharacter"]},{"name" : "BrauerCharacterValue","type" : "GAP_Attribute","location" : {"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsTable"],"aka" : ["BrauerCharacterValue"]},{"name" : "ComputedPowerMaps","type" : "GAP_Attribute","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["ComputedPowerMaps"]},{"name" : "FusionConjugacyClassesOp","type" : "GAP_Attribute","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : ["IsGeneralMapping"],"aka" : ["FusionConjugacyClassesOp"]},{"name" : "ComputedClassFusions","type" : "GAP_Attribute","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["ComputedClassFusions"]},{"name" : "NamesOfFusionSources","type" : "GAP_Attribute","location" : {"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : ["IsNearlyCharacterTable"],"aka" : ["NamesOfFusionSources"]},{"name" : "BaumClausenInfo","type" : "GAP_Attribute","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["BaumClausenInfo"]},{"name" : "IrreducibleRepresentations","type" : "GAP_Attribute","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","IsFinite"],"aka" : ["IrreducibleRepresentations"]},{"name" : "IrrBaumClausen","type" : "GAP_Attribute","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IrrBaumClausen"]},{"name" : "IrrConlon","type" : "GAP_Attribute","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IrrConlon"]},{"name" : "MolienSeriesInfo","type" : "GAP_Attribute","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"},"filters" : ["IsRationalFunction"],"aka" : ["MolienSeriesInfo"]},{"name" : "Alpha","type" : "GAP_Attribute","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Alpha"]},{"name" : "Delta","type" : "GAP_Attribute","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Delta"]},{"name" : "IsBergerCondition","type" : "GAP_Property","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsBergerCondition"]},{"name" : "IsPrimitiveCharacter","type" : "GAP_Property","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsPrimitiveCharacter"]},{"name" : "TestQuasiPrimitive","type" : "GAP_Attribute","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["TestQuasiPrimitive"]},{"name" : "IsQuasiPrimitive","type" : "GAP_Property","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsQuasiPrimitive"]},{"name" : "IsInducedFromNormalSubgroup","type" : "GAP_Property","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsInducedFromNormalSubgroup"]},{"name" : "IsMonomialCharacter","type" : "GAP_Property","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsMonomialCharacter"]},{"name" : "IsMonomialNumber","type" : "GAP_Property","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsInt","IsPosRat"],"aka" : ["IsMonomialNumber"]},{"name" : "TestMonomialQuick","type" : "GAP_Attribute","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["TestMonomialQuick"]},{"name" : "TestMonomial","type" : "GAP_Attribute","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["TestMonomial"]},{"name" : "TestSubnormallyMonomial","type" : "GAP_Attribute","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["TestSubnormallyMonomial"]},{"name" : "IsSubnormallyMonomial","type" : "GAP_Property","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsSubnormallyMonomial"]},{"name" : "TestRelativelySM","type" : "GAP_Attribute","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["TestRelativelySM"]},{"name" : "IsRelativelySM","type" : "GAP_Property","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsClassFunction"],"aka" : ["IsRelativelySM"]},{"name" : "IsMinimalNonmonomial","type" : "GAP_Property","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IsMinimalNonmonomial"]},{"name" : "DixonRecord","type" : "GAP_Attribute","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["DixonRecord"]},{"name" : "IrrDixonSchneider","type" : "GAP_Attribute","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IrrDixonSchneider"]},{"name" : "TableOfMarks","type" : "GAP_Attribute","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["TableOfMarks"]},{"name" : "PermutationTom","type" : "GAP_Attribute","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["PermutationTom"]},{"name" : "MarksTom","type" : "GAP_Attribute","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["MarksTom"]},{"name" : "SubsTom","type" : "GAP_Attribute","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["SubsTom"]},{"name" : "NrSubsTom","type" : "GAP_Attribute","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["NrSubsTom"]},{"name" : "OrdersTom","type" : "GAP_Attribute","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["OrdersTom"]},{"name" : "LengthsTom","type" : "GAP_Attribute","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["LengthsTom"]},{"name" : "ClassTypesTom","type" : "GAP_Attribute","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["ClassTypesTom"]},{"name" : "ClassNamesTom","type" : "GAP_Attribute","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["ClassNamesTom"]},{"name" : "FusionsTom","type" : "GAP_Attribute","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["FusionsTom"]},{"name" : "IdempotentsTom","type" : "GAP_Attribute","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IdempotentsTom"]},{"name" : "IdempotentsTomInfo","type" : "GAP_Attribute","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IdempotentsTomInfo"]},{"name" : "MatTom","type" : "GAP_Attribute","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["MatTom"]},{"name" : "MoebiusTom","type" : "GAP_Attribute","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["MoebiusTom"]},{"name" : "WeightsTom","type" : "GAP_Attribute","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["WeightsTom"]},{"name" : "IsAbelianTom","type" : "GAP_Property","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IsAbelianTom"]},{"name" : "IsCyclicTom","type" : "GAP_Property","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IsCyclicTom"]},{"name" : "IsNilpotentTom","type" : "GAP_Property","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IsNilpotentTom"]},{"name" : "IsPerfectTom","type" : "GAP_Property","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IsPerfectTom"]},{"name" : "IsSolvableTom","type" : "GAP_Property","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["IsSolubleTom","IsSolvableTom"]},{"name" : "DerivedSubgroupsTomPossible","type" : "GAP_Attribute","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["DerivedSubgroupsTomPossible"]},{"name" : "DerivedSubgroupsTomUnique","type" : "GAP_Attribute","location" : {"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["DerivedSubgroupsTomUnique"]},{"name" : "NormalizersTom","type" : "GAP_Attribute","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["NormalisersTom","NormalizersTom"]},{"name" : "CyclicExtensionsTom","type" : "GAP_Attribute","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["CyclicExtensionsTom"]},{"name" : "ComputedCyclicExtensionsTom","type" : "GAP_Attribute","location" : {"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["ComputedCyclicExtensionsTom"]},{"name" : "MaximalSubgroupsTom","type" : "GAP_Attribute","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["MaximalSubgroupsTom"]},{"name" : "GeneratorsSubgroupsTom","type" : "GAP_Attribute","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["GeneratorsSubgroupsTom"]},{"name" : "StraightLineProgramsTom","type" : "GAP_Attribute","location" : {"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : ["IsTableOfMarks"],"aka" : ["StraightLineProgramsTom"]},{"name" : "IdGroup","type" : "GAP_Attribute","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["IdGroup","IdSmallGroup"]},{"name" : "Gap3CatalogueIdGroup","type" : "GAP_Attribute","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["Gap3CatalogueIdGroup","IdGap3SolvableGroup"]},{"name" : "FrattinifactorSize","type" : "GAP_Attribute","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FrattinifactorSize"]},{"name" : "FrattinifactorId","type" : "GAP_Attribute","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative"],"aka" : ["FrattinifactorId"]},{"name" : "GaloisType","type" : "GAP_Attribute","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"},"filters" : ["IsRationalFunction"],"aka" : ["GaloisType"]},{"name" : "SimsNo","type" : "GAP_Attribute","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"},"filters" : ["IsMagmaWithInverses","IsAssociative","CategoryCollections(IsPerm)"],"aka" : ["SimsNo"]},{"name" : "MinimalBlockDimension","type" : "GAP_Attribute","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["MinimalBlockDimension"]},{"name" : "IsPrimitiveMatrixGroup","type" : "GAP_Property","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative"],"aka" : ["IsLinearlyPrimitive","IsPrimitiveMatrixGroup"]},{"name" : "ProcessID","type" : "GAP_Attribute","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"filters" : ["IsFile"],"aka" : ["ProcessID"]},{"name" : "ViewObj","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1454,"file" : "\/home\/makx\/ac\/gap\/lib\/oper.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10036,"comment" : "ViewObj: for groups with known structure description","location" : {"line" : 1756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(StructureDescription)"]]},{"rank" : 10036,"comment" : "ViewObj: for full hom space of linear mappings","location" : {"line" : 2006,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]],"aka" : ["ViewFullHomModule"]},{"rank" : 10033,"comment" : "ViewObj: for a Lie matrix in default representation","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieMatrix"]]},{"rank" : 10023,"comment" : "ViewObj: for full ring Z\/nZ","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 10017,"comment" : "ViewObj: for zero mapping","location" : {"line" : 1625,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 10017,"comment" : "ViewObj: for identity mapping","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"]]},{"rank" : 10009,"comment" : "ViewObj: for a canonical basis","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)"]]},{"rank" : 10001,"comment" : "ViewObj: for an object with name","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["Tester(Name)"]]},{"rank" : 10000,"comment" : "ViewObj","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/teaching.g"},"filters" : [[]]},{"rank" : 429,"comment" : "ViewObj: for a field of FFEs","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 136,"comment" : "ViewObj: subgroup by property","location" : {"line" : 4292,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ElementTestFunction)"]]},{"rank" : 129,"comment" : "ViewObj: for a two-sided ideal with known generators","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 128,"comment" : "ViewObj: for a right ideal with known generators","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 128,"comment" : "ViewObj: for a left ideal with known generators","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)","Tester(LeftActingRingOfIdeal)"]]},{"rank" : 110,"comment" : "ViewObj: for a restricted mapping","location" : {"line" : 1924,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"]]},{"rank" : 110,"comment" : "ViewObj: for a composition mapping","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 109,"comment" : "ViewObj: for an inverse mapping","location" : {"line" : 1100,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 107,"comment" : "ViewObj: objects with memory","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 107,"comment" : "ViewObj: straight line program elements","location" : {"line" : 1009,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]]},{"rank" : 67,"comment" : "ViewObj: for cyclotomic field of cyclotomics","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 65,"comment" : "ViewObj: for abelian number field of cyclotomics","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 62,"comment" : "ViewObj: for natural symmetric group","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 62,"comment" : "ViewObj: for natural alternating group","location" : {"line" : 1751,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 61,"comment" : "ViewObj: for function field","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsFunctionField"]]},{"rank" : 61,"comment" : "ViewObj: for a polynomial ring","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"]]},{"rank" : 57,"comment" : "ViewObj: for algebraic extension","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNumberField","Tester(IsNumberField)","IsAlgebraicExtension"]]},{"rank" : 48,"comment" : "ViewObj: for full matrix module","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "ViewObj: for full row module","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 47,"comment" : "ViewObj: fp group","location" : {"line" : 4956,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 46,"comment" : "ViewObj: for a matrix group with stored generators","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "ViewObj: for a matrix group","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "ViewObj: subgroup of free group","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 44,"comment" : "ViewObj: for GF2 matrix","location" : {"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "ViewObj: for a Lie algebra with known dimension","location" : {"line" : 2109,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","Tester(Dimension)"]]},{"rank" : 43,"comment" : "ViewObj: pc group","location" : {"line" : 2265,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 43,"comment" : "ViewObj: for a Lie algebra with known generators","location" : {"line" : 2117,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 42,"comment" : "ViewObj: for a Lie algebra","location" : {"line" : 2101,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : 41,"comment" : "ViewObj: for an algebra-with-one with known dimension","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(Dimension)"]]},{"rank" : 40,"comment" : "ViewObj: for an algebra-with-one with known generators","location" : {"line" : 2062,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRingWithOne)"]]},{"rank" : 39,"comment" : "ViewObj: for an algebra-with-one","location" : {"line" : 2046,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 39,"comment" : "ViewObj: for a FLMLOR-with-one with known dimension","location" : {"line" : 1941,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(Dimension)"]]},{"rank" : 38,"comment" : "ViewObj: for an algebra with known dimension","location" : {"line" : 1998,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(Dimension)"]]},{"rank" : 38,"comment" : "ViewObj: for a FLMLOR-with-one with known generators","location" : {"line" : 1951,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorRingWithOne)"]]},{"rank" : 37,"comment" : "ViewObj: for an algebra with known generators","location" : {"line" : 2006,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 37,"comment" : "ViewObj: for a FLMLOR-with-one","location" : {"line" : 1933,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 36,"comment" : "ViewObj: for an algebra","location" : {"line" : 1990,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 36,"comment" : "ViewObj: for a FLMLOR with known dimension","location" : {"line" : 1885,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(Dimension)"]]},{"rank" : 35,"comment" : "ViewObj: for a character","location" : {"line" : 1120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsCharacter","Tester(IsCharacter)"]]},{"rank" : 35,"comment" : "ViewObj: for a FLMLOR with known generators","location" : {"line" : 1894,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 35,"comment" : "ViewObj: for a group","location" : {"line" : 4005,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 34,"comment" : "ViewObj: for a FLMLOR","location" : {"line" : 1877,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 34,"comment" : "ViewObj: for an ordinary block matrix","location" : {"line" : 628,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 33,"comment" : "ViewObj: for a virtual character","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 33,"comment" : "ViewObj: for a semigroup Congruence with known generating pairs","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 32,"comment" : "ViewObj: for a semigroup congruence","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 32,"comment" : "ViewObj: for ranges","location" : {"line" : 3678,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsRange","IsFinite","Tester(IsFinite)"]]},{"rank" : 31,"comment" : "ViewObj: for a class function","location" : {"line" : 1098,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 31,"comment" : "ViewObj: for null map matrix","location" : {"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 30,"comment" : "ViewObj: for a ring-with-one with known generators","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 29,"comment" : "ViewObj: for an alg. hom. from f. p. algebra","location" : {"line" : 963,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsAlgebraHomomorphismFromFpRep"]]},{"rank" : 29,"comment" : "ViewObj: for an operation algebra homomorphism","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"]]},{"rank" : 29,"comment" : "ViewObj: for a ring-with-one","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 29,"comment" : "ViewObj: for a RightSemigroupCongruence with generators","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsRightSemigroupCongruence","Tester(IsRightSemigroupCongruence)"]]},{"rank" : 29,"comment" : "ViewObj: for a LeftSemigroupCongruence with known generating pairs","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsLeftSemigroupCongruence","Tester(IsLeftSemigroupCongruence)"]]},{"rank" : 28,"comment" : "ViewObj: For a compressed MatFFE","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitMatrixRep"]]},{"rank" : 28,"comment" : "ViewObj: for an empty row vector","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 27,"comment" : "ViewObj: for algebra module","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsAlgebraModule","Tester(IsAlgebraModule)"]]},{"rank" : 27,"comment" : "ViewObj: for vector space with known dimension","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(Dimension)"]]},{"rank" : 27,"comment" : "ViewObj: for a ring with known generators","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 27,"comment" : "ViewObj: for a magma congruence with generating pairs","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 27,"comment" : "ViewObj: for a RightMagmaCongruence with generators","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 27,"comment" : "ViewObj: for a LeftMagmaCongruence with known generating pairs","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 27,"comment" : "ViewObj: for an enumerator that perhaps has its own `ViewObj' function","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]]},{"rank" : 26,"comment" : "ViewObj: for vector space with known generators","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 26,"comment" : "ViewObj: for a ring","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 26,"comment" : "ViewObj: for a magma congruence","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"]]},{"rank" : 25,"comment" : "ViewObj: for a fp monoid with generators","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : 25,"comment" : "ViewObj: for a free monoid containing the whole family","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 25,"comment" : "ViewObj: for an algebra g.m.b.i","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 25,"comment" : "ViewObj: for vector space","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 24,"comment" : "ViewObj: pcgs","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"]]},{"rank" : 24,"comment" : "ViewObj: For a compressed VecFFE","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitVectorRep"]]},{"rank" : 24,"comment" : "ViewObj: for free left module with known generators","location" : {"line" : 508,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 24,"comment" : "ViewObj: for free left module with known dimension","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(Dimension)"]]},{"rank" : 24,"comment" : "ViewObj: for a RightSemigrouCongruence","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsRightSemigroupCongruence","Tester(IsRightSemigroupCongruence)"]]},{"rank" : 24,"comment" : "ViewObj: for a LeftSemigroupCongruence","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsLeftSemigroupCongruence","Tester(IsLeftSemigroupCongruence)"]]},{"rank" : 23,"comment" : "ViewObj: for GreensHRelation","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensHRelation"]]},{"rank" : 23,"comment" : "ViewObj: for GreensDRelation","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDRelation"]]},{"rank" : 23,"comment" : "ViewObj: for GreensJRelation","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensJRelation"]]},{"rank" : 23,"comment" : "ViewObj: for embedding into wreath product","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingWreathProductPermGroup"]]},{"rank" : 23,"comment" : "ViewObj: for projection from subdirect product","location" : {"line" : 519,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"]]},{"rank" : 23,"comment" : "ViewObj: for projection from a direct product","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"]]},{"rank" : 23,"comment" : "ViewObj: for embedding into direct product","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"]]},{"rank" : 23,"comment" : "ViewObj: for nat. hom. of pc group","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsNaturalHomomorphismPcGroupRep"]]},{"rank" : 23,"comment" : "ViewObj: for conjugator isomorphism","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 23,"comment" : "ViewObj: for an ring g.m.b.i","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "ViewObj: for a left module m.b.m.","location" : {"line" : 1256,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 23,"comment" : "ViewObj: for a left module g.m.b.i","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "ViewObj: for free left module","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 23,"comment" : "ViewObj: for a zero group","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsMagmaWithZeroAdjoined"]]},{"rank" : 23,"comment" : "ViewObj: for an iterator that perhaps has its own `ViewObj' function","location" : {"line" : 1028,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator","IsIteratorByFunctionsRep"]]},{"rank" : 22,"comment" : "ViewObj: for a Brauer table","location" : {"line" : 4435,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "ViewObj: for an ordinary table","location" : {"line" : 4420,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 22,"comment" : "ViewObj: for action homomorphism","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"]],"aka" : ["VPActionHom"]},{"rank" : 22,"comment" : "ViewObj: for GF2 vector","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsFinite","Tester(IsFinite)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 22,"comment" : "ViewObj: for a RightMagmaCongruence","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"]]},{"rank" : 22,"comment" : "ViewObj: for a LeftMagmaCongruence","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"]]},{"rank" : 21,"comment" : "ViewObj: for a free semigroup with generators","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 21,"comment" : "ViewObj: combinatorial collector rep (32 Bits, up to date)","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 21,"comment" : "ViewObj: combinatorial collector rep (16 Bits, up to date)","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 21,"comment" : "ViewObj: combinatorial collector rep (8 Bits, up to date)","location" : {"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj","location" : {"line" : 461,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeCharacter"]]},{"rank" : 20,"comment" : "ViewObj: for a Rees 0-matrix semigroup","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 20,"comment" : "ViewObj: for a Rees matrix semigroup","location" : {"line" : 352,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 20,"comment" : "ViewObj: for a fp semigroup with generators","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : 20,"comment" : "ViewObj: combinatorial collector rep (32 Bits)","location" : {"line" : 450,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is32BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj: combinatorial collector rep (16 Bits)","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is16BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj: combinatorial collector rep (8 Bits)","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is8BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj: combinatorial collector rep (up to date)","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj","location" : {"line" : 1351,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj","location" : {"line" : 1327,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj","location" : {"line" : 1303,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep"]]},{"rank" : 20,"comment" : "ViewObj: for a free semigroup containing the whole family","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 19,"comment" : "ViewObj: combinatorial collector rep","location" : {"line" : 370,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"]]},{"rank" : 19,"comment" : "ViewObj","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is32BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "ViewObj","location" : {"line" : 1315,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is16BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "ViewObj","location" : {"line" : 1291,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is8BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "ViewObj","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsSingleCollectorRep"]]},{"rank" : 19,"comment" : "ViewObj: for mapping by function with inverse","location" : {"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"]]},{"rank" : 18,"comment" : "ViewObj","location" : {"line" : 1267,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 18,"comment" : "ViewObj: for a semigroup ideal with known generators","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","Tester(GeneratorsOfMagmaIdeal)","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 18,"comment" : "ViewObj: empty strings","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "ViewObj: for a subsemigroup of a Rees 0-matrix semigroup","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/read1.g"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]],"aka" : ["PRINT_OBJ","PrintObj"]},{"rank" : 17,"comment" : "ViewObj: for a subsemigroup of a Rees matrix semigroup","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/read1.g"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "ViewObj: for semigroup homomorphism by images","location" : {"line" : 1323,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"]]},{"rank" : 17,"comment" : "ViewObj: for GHBI","location" : {"line" : 881,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "ViewObj: for a free magma-with-one containing the whole family","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","CategoryCollections(IsWord)"]]},{"rank" : 17,"comment" : "ViewObj: For large finite field elements","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "ViewObj: for an add. magma-with-inverses with generators","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 17,"comment" : "ViewObj: for a semigroup ideal","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 16,"comment" : "ViewObj: for a Molien series","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gi"},"filters" : [["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","Tester(MolienSeriesInfo)"]],"aka" : ["ViewMolienSeries"]},{"rank" : 16,"comment" : "ViewObj: for a quotient semigroup with generators","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gi"},"filters" : [["IsQuotientSemigroup"]]},{"rank" : 16,"comment" : "ViewObj: RightCoset","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "ViewObj: for a MagmaIdeal with generators","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","Tester(GeneratorsOfMagmaIdeal)"]]},{"rank" : 15,"comment" : "ViewObj: for a plist matrix","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "ViewObj: for an add. magma-with-zero with generators","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]},{"rank" : 15,"comment" : "ViewObj: for a MagmaIdeal","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]},{"rank" : 15,"comment" : "ViewObj: for a direct product element","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "ViewObj","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]},{"rank" : 14,"comment" : "ViewObj: for a free magma containing the whole family","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","CategoryCollections(IsWord)"]]},{"rank" : 14,"comment" : "ViewObj: for a RightMagmaIdeal with generators","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsRightActedOnBySuperset","Tester(GeneratorsOfExtRSet)","IsMagma"]]},{"rank" : 14,"comment" : "ViewObj: for a LeftMagmaIdeal with generators","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","Tester(GeneratorsOfExtLSet)","IsMagma"]]},{"rank" : 14,"comment" : "ViewObj: for mapping by function","location" : {"line" : 786,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"]]},{"rank" : 13,"comment" : "ViewObj: for floats","location" : {"line" : 439,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 13,"comment" : "ViewObj: for an add. magma with generators","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagma)"]]},{"rank" : 13,"comment" : "ViewObj: for a RightMagmaIdeal","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsRightActedOnBySuperset","IsMagma"]]},{"rank" : 13,"comment" : "ViewObj: for a LeftMagmaIdeal","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsMagma"]]},{"rank" : 12,"comment" : "ViewObj","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPowerCommutatorCollector"]]},{"rank" : 12,"comment" : "ViewObj","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPowerConjugateCollector"]]},{"rank" : 12,"comment" : "ViewObj: for an additive coset","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 12,"comment" : "ViewObj: for an add. magma","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 11,"comment" : "ViewObj","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "ViewObj","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"]]},{"rank" : 11,"comment" : "ViewObj: for a plist vector","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 10,"comment" : "ViewObj: for external orbit","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 10,"comment" : "ViewObj","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]]},{"rank" : 10,"comment" : "ViewObj: for a semi-echelonized basis with basis vectors","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsSemiEchelonized","Tester(IsSemiEchelonized)","Tester(BasisVectors)"]]},{"rank" : 10,"comment" : "ViewObj: method for a weak pointer object","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"]]},{"rank" : 9,"comment" : "ViewObj: for an element of an f.p. group (default repres.)","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 9,"comment" : "ViewObj: sliced perm","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsSlicedPermInv"]]},{"rank" : 9,"comment" : "ViewObj: sliced perm","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsSlicedPerm"]]},{"rank" : 9,"comment" : "ViewObj: for external subset","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSubset"]]},{"rank" : 9,"comment" : "ViewObj: for a semi-echelonized basis","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsSemiEchelonized","Tester(IsSemiEchelonized)"]]},{"rank" : 9,"comment" : "ViewObj: for right transversal","location" : {"line" : 2534,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsRightTransversalRep"]]},{"rank" : 8,"comment" : "ViewObj: IsString","location" : {"line" : 1180,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsString","IsFinite","Tester(IsFinite)"]]},{"rank" : 8,"comment" : "ViewObj: for a basis with basis vectors","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","Tester(BasisVectors)"]]},{"rank" : 8,"comment" : "ViewObj: IsString","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString","IsFinite","Tester(IsFinite)"]]},{"rank" : 8,"comment" : "ViewObj: for a permutation","location" : {"line" : 803,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "ViewObj","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"]]},{"rank" : 7,"comment" : "ViewObj: for sparse hash tables","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsSparseHashRep"]]},{"rank" : 7,"comment" : "ViewObj: for dense hash tables","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"]]},{"rank" : 7,"comment" : "ViewObj: for a basis","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]},{"rank" : 7,"comment" : "ViewObj: for finite lists","location" : {"line" : 3659,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 6,"comment" : "ViewObj","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 6,"comment" : "ViewObj: External Set","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]},{"rank" : 6,"comment" : "ViewObj: iostream","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 5,"comment" : "ViewObj: for a Knuth Bendix rewriting system","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)","IsKnuthBendixRewritingSystem"]]},{"rank" : 5,"comment" : "ViewObj: for a Knuth Bendix rewriting system","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)","IsKnuthBendixRewritingSystem"]]},{"rank" : 5,"comment" : "ViewObj: wrapped additive elements","location" : {"line" : 751,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 4,"comment" : "ViewObj: for a worker farm by fork","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"]]},{"rank" : 4,"comment" : "ViewObj: for a background job by fork","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]},{"rank" : 4,"comment" : "ViewObj: for a monoid rewriting system","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)"]]},{"rank" : 4,"comment" : "ViewObj: for a semigroup rewriting system","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"]]},{"rank" : 4,"comment" : "ViewObj: for an infinite list of generators","location" : {"line" : 1210,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"]]},{"rank" : 4,"comment" : "ViewObj: for an infinite list of names","location" : {"line" : 1095,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfNamesRep"]]},{"rank" : 3,"comment" : "ViewObj: for a tcp server","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]},{"rank" : 3,"comment" : "ViewObj: for a real random source","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"]]},{"rank" : 3,"comment" : "ViewObj: lattice","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsLatticeSubgroupsRep"]]},{"rank" : 3,"comment" : "ViewObj: for dictionaries","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDictionary"]]},{"rank" : 3,"comment" : "ViewObj: p-quotient system","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]},{"rank" : 3,"comment" : "ViewObj: for a mutable basis of a Gaussian matrix space","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"]]},{"rank" : 3,"comment" : "ViewObj: for a mutable basis of a Gaussian row space","location" : {"line" : 1484,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"]]},{"rank" : 3,"comment" : "ViewObj: for mutable basis represented by a nice mutable basis","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"]]},{"rank" : 3,"comment" : "ViewObj: for mutable basis represented by an immutable basis","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisByImmutableBasisRep"]]},{"rank" : 2,"comment" : "ViewObj: for an IO_Result","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gi"},"filters" : [["IO_Result"]]},{"rank" : 2,"comment" : "ViewObj","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem"]]},{"rank" : 2,"comment" : "ViewObj: for vector search tables","location" : {"line" : 2448,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsVectorSearchTable"]]},{"rank" : 2,"comment" : "ViewObj: default directory rep","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsDirectoryRep"]]},{"rank" : 2,"comment" : "ViewObj: for an operation","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"},"filters" : [["IsOperation"]],"aka" : ["PRINT_OPERATION"]},{"rank" : 1,"comment" : "ViewObj: for IsFile objects","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gi"},"filters" : [["IsFile"]]},{"rank" : 1,"comment" : "ViewObj","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/PrintUtil.gi"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "ViewObj: for a straight line program","location" : {"line" : 606,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]},{"rank" : 1,"comment" : "ViewObj","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]},{"rank" : 1,"comment" : "ViewObj: for an ordering","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering"]]},{"rank" : 1,"comment" : "ViewObj: stabilizer chain records","location" : {"line" : 1840,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "ViewObj: IsChar","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsChar"]]},{"rank" : 1,"comment" : "ViewObj: default method trying ViewString","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]},{"rank" : 1,"comment" : "ViewObj: record","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "ViewObj: for a function","location" : {"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"},"filters" : [["IsFunction"]]},{"rank" : 0,"comment" : "ViewObj: default method using `PrintObj'","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/read1.g"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["VIEW_OBJ","ViewObj"]},{"name" : "ViewString","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/oper.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10033,"comment" : "ViewString: for a group as semigroup","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 10031,"comment" : "ViewString: for a symmetric inverse monoid","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)","IsSymmetricInverseSemigroup","Tester(IsSymmetricInverseSemigroup)"]]},{"rank" : 10022,"comment" : "ViewString: for a full transformation semigroup","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","IsFullTransformationSemigroup","Tester(IsFullTransformationSemigroup)"]]},{"rank" : 10001,"comment" : "ViewString: for an object with name","location" : {"line" : 435,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["Tester(Name)"]]},{"rank" : 429,"comment" : "ViewString: for a field of FFEs","location" : {"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 62,"comment" : "ViewString: for natural symmetric group","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 62,"comment" : "ViewString: for natural alternating group","location" : {"line" : 1732,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 59,"comment" : "ViewString: for a permutation group","location" : {"line" : 2023,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 54,"comment" : "ViewString: for a field","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 48,"comment" : "ViewString: for full row modules","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 40,"comment" : "ViewString: for a group of partial perms","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "ViewString: for a group with generators and size","location" : {"line" : 3999,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "ViewString: for a group of transformations","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "ViewString: for a group with generators","location" : {"line" : 3986,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "ViewString: for a group with known generators (as a semigroup)","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "ViewString: for a group","location" : {"line" : 3973,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 28,"comment" : "ViewString: for a group as semigroup with known generators (as a semigroup)","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["Tester(GeneratorsOfMagma)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)"]]},{"rank" : 27,"comment" : "ViewString: for a polynomial ring","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"]]},{"rank" : 27,"comment" : "ViewString: for an inverse monoid with generators","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 26,"comment" : "ViewString: for a inverse monoid","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 22,"comment" : "ViewString: for an inverse semigroup with inverse semigroup generators","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 22,"comment" : "ViewString: for an inverse semigroup with semigroup generators","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["Tester(GeneratorsOfMagma)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 21,"comment" : "ViewString: for a inverse semigroup","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 21,"comment" : "ViewString: for a monoid with generators","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "ViewString: for a monoid","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 18,"comment" : "ViewString: for integer","location" : {"line" : 1976,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"]]},{"rank" : 17,"comment" : "ViewString: for rationals","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsRat"]]},{"rank" : 17,"comment" : "ViewString: For large finite field elements","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "ViewString: for an internal FFE delegating to String","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 17,"comment" : "ViewString: for a magma-with-inverses with generators","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 16,"comment" : "ViewString: RightCoset","location" : {"line" : 415,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "ViewString: for a semigroup with generators","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "ViewString: for macfloats","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 15,"comment" : "ViewString: for a semigroup","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 14,"comment" : "ViewString: for a magma-with-one with generators","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 13,"comment" : "ViewString: for floats","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"filters" : [["IsFloat"]]},{"rank" : 12,"comment" : "ViewString: for a magma with generators","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)"]]},{"rank" : 11,"comment" : "ViewString: for a magma","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]},{"rank" : 8,"comment" : "ViewString: DoubleCoset","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 8,"comment" : "ViewString: for a permutation","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "ViewString: for a Green's class","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]},{"rank" : 7,"comment" : "ViewString: for a partial perm","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "ViewString: for a transformation","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : 7,"comment" : "ViewString: call ViewString and incorporate hints","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 6,"comment" : "ViewString: for a boolean","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"filters" : [["IsBool"]]},{"rank" : 5,"comment" : "ViewString: for a Rees 0-matrix semigroup element","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 5,"comment" : "ViewString: for a Rees matrix semigroup element","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]},{"rank" : 1,"comment" : "ViewString: for a type","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/introspection.gi"},"filters" : [["IsType"]]},{"rank" : 1,"comment" : "ViewString: for a family","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/introspection.gi"},"filters" : [["IsFamily"]]},{"rank" : 1,"comment" : "ViewString: for a function","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/function.gi"},"filters" : [["IsFunction"]]},{"rank" : 1,"comment" : "ViewString: IsChar","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsChar"]]},{"rank" : 1,"comment" : "ViewString: generic default method","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ViewString"]},{"name" : "NameFunction","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NAME_FUNC","NameFunction"]},{"name" : "SetNameFunction","type" : "GAP_Operation","filters" : [[[],["IsString"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SET_NAME_FUNC","SetNameFunction"]},{"name" : "NumberArgumentsFunction","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NARG_FUNC","NumberArgumentsFunction"]},{"name" : "CallFuncList","type" : "GAP_Operation","filters" : [[[],["IsList"]]],"locations" : [{"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/function.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CALL_FUNC_LIST","CallFuncList"]},{"name" : "=","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10019,"comment" : "=: for two lists, the second being empty","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 10019,"comment" : "=: for two lists, the first being empty","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"]]},{"rank" : 738,"comment" : "=: handled by nice monomorphism: attribute CollColl","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 222,"comment" : "=: for 32 bits pc word rep","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is32BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is32BitsPcWordRep"]],"aka" : ["32Bits_Equal"]},{"rank" : 222,"comment" : "=: for 16 bits pc word rep","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is16BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is16BitsPcWordRep"]],"aka" : ["16Bits_Equal"]},{"rank" : 222,"comment" : "=: for 8 bits pc word rep","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is8BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is8BitsPcWordRep"]],"aka" : ["8Bits_Equal"]},{"rank" : 220,"comment" : "=: straight line program perms","location" : {"line" : 1870,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsPerm","IsStraightLineProgElm"]]},{"rank" : 214,"comment" : "=: two objects with memory","location" : {"line" : 262,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsObjWithMemory"]]},{"rank" : 118,"comment" : "=: perm with straight line program element","location" : {"line" : 1838,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm"],["IsPerm","IsStraightLineProgElm"]]},{"rank" : 118,"comment" : "=: straight line program element with perm","location" : {"line" : 1819,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsPerm"]]},{"rank" : 118,"comment" : "=: for two abelian number fields","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 116,"comment" : "=: for two finite fields in the same family","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 110,"comment" : "=: objects with memory with x","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsMultiplicativeElement"]]},{"rank" : 110,"comment" : "=: x with straight line program element","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsMultiplicativeElement"],["IsStraightLineProgElm"]]},{"rank" : 110,"comment" : "=: straight line program element with x","location" : {"line" : 1551,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"],["IsMultiplicativeElement"]]},{"rank" : 110,"comment" : "=: for two compressed 8 bit matrices","location" : {"line" : 896,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]],"aka" : ["EQ_MAT8BIT_MAT8BIT"]},{"rank" : 104,"comment" : "=: for two division rings","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 90,"comment" : "=: for GF2 matrix and GF2 matrix","location" : {"line" : 1082,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]],"aka" : ["EQ_GF2MAT_GF2MAT"]},{"rank" : 82,"comment" : "=: for certain cyclotomic semirings","location" : {"line" : 2027,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 74,"comment" : "=: subgroups of fp group","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 74,"comment" : "=: pcgs computable groups using family pcgs","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CanonicalPcgsWrtFamilyPcgs)","Tester(FamilyPcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CanonicalPcgsWrtFamilyPcgs)","Tester(FamilyPcgs)"]]},{"rank" : 74,"comment" : "=: pcgs computable groups using home pcgs","location" : {"line" : 534,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CanonicalPcgsWrtHomePcgs)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CanonicalPcgsWrtHomePcgs)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "=: generic method for two groups","location" : {"line" : 3120,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 68,"comment" : "=: for two ordinary block matrices","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 62,"comment" : "=: for two class functions","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsClassFunction"]]},{"rank" : 54,"comment" : "=: for two rings with known generators","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 52,"comment" : "=: for two ANF automorphisms","location" : {"line" : 1870,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 52,"comment" : "=: for two Frobenius automorphisms","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsFrobeniusAutomorphism"]]},{"rank" : 50,"comment" : "=: For 2 8 bit vectors","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["EQ_VEC8BIT_VEC8BIT"]},{"rank" : 47,"comment" : "=: pc group homomorphisms","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]]},{"rank" : 46,"comment" : "=: for two field homomorphisms","location" : {"line" : 1283,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 46,"comment" : "=: for two free left modules (at least one fin. dim.)","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 46,"comment" : "=: method for two s.v. gen. mappings that is a field homomorphism","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 44,"comment" : "=: for GreensRelation","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensRelation"],["IsGreensRelation"]]},{"rank" : 44,"comment" : "=: for GF2 vectors","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]],"aka" : ["EQ_GF2VEC_GF2VEC"]},{"rank" : 44,"comment" : "=: for an inverse semigroups with generators","location" : {"line" : 359,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"],["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 43,"comment" : "=: for ANF automorphism and identity mapping","location" : {"line" : 1890,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 43,"comment" : "=: for identity mapping and ANF automorphism","location" : {"line" : 1880,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 43,"comment" : "=: for Frobenius automorphism and identity mapping","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 43,"comment" : "=: for identity mapping and Frobenius automorphism","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsFrobeniusAutomorphism"]]},{"rank" : 42,"comment" : "=: for eqivalence relations","location" : {"line" : 1855,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]},{"rank" : 42,"comment" : "=: method for two s.v. gen. mappings that respect add.,add.inv.,mult.,one,scal. mult.","location" : {"line" : 1182,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 40,"comment" : "=","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeCharacter"],["IsUnicodeCharacter"]]},{"rank" : 40,"comment" : "=: for two underlying relations of general mappings","location" : {"line" : 1398,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"],["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 39,"comment" : "=: homomorphism by images with homomorphism: compare generator images","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 38,"comment" : "=: homomorphism with general mapping: test b=a","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages"]]},{"rank" : 38,"comment" : "=: for ring ring general mapping and ring g.m.b.i.","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 38,"comment" : "=: for ring g.m.b.i. and ring general mapping","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 38,"comment" : "=: method for two s.v. gen. mappings that respect add.,add.inv.,mult.,scal. mult.","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 38,"comment" : "=: method for two s.v. gen. mappings that respect mult.,one,add.,add.inv.","location" : {"line" : 1149,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 36,"comment" : "=: for two unknowns in default representation","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown","IsUnknownDefaultRep"],["IsUnknown","IsUnknownDefaultRep"]]},{"rank" : 35,"comment" : "=: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 35,"comment" : "=: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 34,"comment" : "=: for semigroup homomorphism by images","location" : {"line" : 1386,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"],["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"]]},{"rank" : 34,"comment" : "=","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "=: BFElm=BFElm","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "=: BFElm<AlgElm","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "=: AlgElm=BFElm","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "=: AlgElm=AlgElm","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "=: laurent","location" : {"line" : 804,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 34,"comment" : "=: method for two s.v. gen. mappings that respect add.,add.inv.,scal. mult.","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 34,"comment" : "=: method for two s.v. gen. mappings that respect mult.,add.,add.inv.","location" : {"line" : 1138,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 33,"comment" : "=: for a list and a class function","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsClassFunction"]]},{"rank" : 33,"comment" : "=: for a class function and a list","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsList"]]},{"rank" : 32,"comment" : "=: IsTransformationRepOfEndo, IsTransformationRepOfEndo","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 32,"comment" : "=: RightCosets","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"],["IsRightCoset"]]},{"rank" : 32,"comment" : "=","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 32,"comment" : "=","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE"]]},{"rank" : 32,"comment" : "=: for two elements in Z\/nZ (ModulusRep)","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 32,"comment" : "=: for cyclotomic and unknown","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"],["IsUnknown"]],"aka" : ["IsProtected","IsReadOnly","RETURN_FALSE","ReturnFalse"]},{"rank" : 32,"comment" : "=: for unknown and cyclotomic","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 32,"comment" : "=: for semigroup with generators and semigroup with generators","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"],["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "=: for `-infinity' and cyclotomic","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"],["IsCyclotomic"]]},{"rank" : 31,"comment" : "=: for cyclotomic and `-infinity'","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsNegInfinity"]]},{"rank" : 31,"comment" : "=: for `infinity' and cyclotomic","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"],["IsCyclotomic"]]},{"rank" : 31,"comment" : "=: for cyclotomic and `infinity'","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsInfinity"]]},{"rank" : 30,"comment" : "=: for two plist matrices","location" : {"line" : 1423,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 30,"comment" : "=: univariate = univariate","location" : {"line" : 1537,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 30,"comment" : "=: method for two s.v. gen. mappings that respect add. and add. inv.","location" : {"line" : 1127,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 30,"comment" : "=: method for two s.v. gen. mappings that respect mult. and inv.","location" : {"line" : 1097,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 30,"comment" : "=: for two direct product elements","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsDirectProductElement"]]},{"rank" : 30,"comment" : "=: for a collection, and an empty row vector in the same family","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsCollection"],["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 30,"comment" : "=: for an empty row vector, and a collection in the same family","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsCollection"]]},{"rank" : 29,"comment" : "=: for float and rational","location" : {"line" : 988,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]],"aka" : ["COMPARE_FLOAT_ANY"]},{"rank" : 29,"comment" : "=: for rational and float","location" : {"line" : 988,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 29,"comment" : "=: IsEndoMapping, IsTransformationRepOfEndo","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 29,"comment" : "=: IsTransformationRepOfEndo, IsEndoMapping","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 28,"comment" : "=","location" : {"line" : 1322,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPadicExtensionNumber"]]},{"rank" : 28,"comment" : "=","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPurePadicNumber"]]},{"rank" : 28,"comment" : "=: polynomial","location" : {"line" : 951,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 28,"comment" : "=: for additive group and additive coset","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsAdditiveCoset"]]},{"rank" : 28,"comment" : "=: for additive coset and additive group","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 26,"comment" : "=: classes for perm group","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsConjugacyClassPermGroupRep"],["IsConjugacyClassPermGroupRep"]]},{"rank" : 26,"comment" : "=: compare source generator images","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 26,"comment" : "=: zmodnze : for two elements in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 26,"comment" : "=: rational functions","location" : {"line" : 945,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"],["IsRationalFunction"]]},{"rank" : 26,"comment" : "=: for s. c. ring elements in dense vector rep.","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "=: for two Lie objects in default representation","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 26,"comment" : "=: for s. c. algebra elements in dense vector rep.","location" : {"line" : 304,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "=: method for two s.v. gen. mappings that respect add. and zero","location" : {"line" : 1117,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 26,"comment" : "=: method for two s.v. gen. mappings that respect mult. and one","location" : {"line" : 1087,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 25,"comment" : "=: for floats","location" : {"line" : 991,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "=: FElm=BFElm","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsAlgBFRep"]]},{"rank" : 25,"comment" : "=: BFElm=FElm","location" : {"line" : 765,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "=: FElm=AlgElm","location" : {"line" : 760,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsKroneckerConstRep"]]},{"rank" : 25,"comment" : "=: AlgElm=FElm","location" : {"line" : 748,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 24,"comment" : "=","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsRationalClassPermGroupRep"],["IsRationalClassPermGroupRep"]]},{"rank" : 24,"comment" : "=: xorbs which know their size","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["Tester(Size)","IsExternalOrbit"],["Tester(Size)","IsExternalOrbit"]]},{"rank" : 24,"comment" : "=: for two UEALattice elements","location" : {"line" : 1474,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"],["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 24,"comment" : "=: for two additive cosets","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"],["IsAdditiveCoset"]]},{"rank" : 24,"comment" : "=: for binary relss over [1..n] with images list","location" : {"line" : 1167,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 22,"comment" : "=","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"],["IsConjugacyClassSubgroupsRep"]]},{"rank" : 22,"comment" : "=","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"],["IsRationalClassGroupRep"]]},{"rank" : 22,"comment" : "=: xorbs with canonicalRepresentativeDeterminator","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit","Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"],["IsExternalOrbit","Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"]]},{"rank" : 22,"comment" : "=: for two plist vectors","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsPlistVectorRep"]]},{"rank" : 22,"comment" : "=: for s. c. algebra elements","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsSCAlgebraObj"]]},{"rank" : 22,"comment" : "=: for two normalized f.p. algebra elements","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsElementOfFpAlgebra","IsNormalForm","Tester(IsNormalForm)"],["IsElementOfFpAlgebra","IsNormalForm","Tester(IsNormalForm)"]]},{"rank" : 22,"comment" : "=: for two free magma ring elements","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 22,"comment" : "=: method for two s.v. gen. mappings that respect add.","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)"]]},{"rank" : 22,"comment" : "=: method for two s.v. gen. mappings that respect mult.","location" : {"line" : 1077,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"]]},{"rank" : 20,"comment" : "=: xorbs","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"],["IsExternalOrbit"]]},{"rank" : 20,"comment" : "=: for two weight rep elements","location" : {"line" : 2890,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 20,"comment" : "=: for two cochains","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"],["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 20,"comment" : "=: for direct sum elements","location" : {"line" : 3321,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"],["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 20,"comment" : "=: for sparse rowspace elements","location" : {"line" : 2948,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"],["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 20,"comment" : "=: for monomial elements","location" : {"line" : 1479,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"],["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 20,"comment" : "=: for two algebra module elements in packed representation","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 18,"comment" : "=: for two f.p. algebra elements (try nice monomorphism)","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsElementOfFpAlgebra"],["IsElementOfFpAlgebra"]]},{"rank" : 18,"comment" : "=: method for two s.v. gen. mappings","location" : {"line" : 1067,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 18,"comment" : "=: for two small lists","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],["IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["EQ_LIST_LIST_DEFAULT"]},{"rank" : 16,"comment" : "=: for fp monoid elts produced by the Froidure-Pin algorithm","location" : {"line" : 1422,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFpMonoidReducedElt","Tester(IsFpMonoidReducedElt)"],["IsFpMonoidReducedElt","Tester(IsFpMonoidReducedElt)"]]},{"rank" : 16,"comment" : "=: DoubleCosets","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"],["IsDoubleCoset"]]},{"rank" : 16,"comment" : "=: for two inf. bits assoc. words","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"],["IsInfBitsAssocWord"]],"aka" : ["InfBits_Equal"]},{"rank" : 16,"comment" : "=: for two 32 bits assoc. words","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["Is32BitsAssocWord"]]},{"rank" : 16,"comment" : "=: for two 16 bits assoc. words","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 16,"comment" : "=: for two 8 bits assoc. words","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 14,"comment" : "=","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsUnicodeString"]]},{"rank" : 14,"comment" : "=: for fp semigp elts produced by the Froidure-Pin algorithm","location" : {"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFpSemigpReducedElt","Tester(IsFpSemigpReducedElt)"],["IsFpSemigpReducedElt","Tester(IsFpSemigpReducedElt)"]]},{"rank" : 14,"comment" : "=: for Green's classes","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"],["IsGreensClass"]]},{"rank" : 14,"comment" : "=: for two f.p. group elements","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"],["IsElementOfFpGroup"]]},{"rank" : 14,"comment" : "=: wreath elements","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"],["IsWreathProductElement"]]},{"rank" : 14,"comment" : "=: for two elements of magma by mult. table","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"],["IsMagmaByMultiplicationTableObj"]]},{"rank" : 14,"comment" : "=: for two elements of a magma with zero adjoined","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"],["IsMagmaWithZeroAdjoinedElementRep"]]},{"rank" : 14,"comment" : "=: for two general mappings","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 14,"comment" : "=: for two finite lists (not necessarily small)","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"],["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 12,"comment" : "=","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"],["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 12,"comment" : "=: for two elements of a f.p. monoid","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"],["IsElementOfFpMonoid"]]},{"rank" : 12,"comment" : "=","location" : {"line" : 262,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 12,"comment" : "=: assoc words in letter rep","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 12,"comment" : "=: for two equivalence classes","location" : {"line" : 2160,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceClass"],["IsEquivalenceClass"]]},{"rank" : 10,"comment" : "=: for elements of a Rees 0-matrix semigroup","location" : {"line" : 959,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"],["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "=: for elements of a Rees matrix semigroup","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"],["IsReesMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "=: for two Knuth-Bendix rewriting systems","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"],["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]},{"rank" : 10,"comment" : "=: for two elements of a f.p. semigroup","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"],["IsElementOfFpSemigroup"]]},{"rank" : 10,"comment" : "=: for two domains","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 10,"comment" : "=: for a domain and a list","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsList","IsCollection"]]},{"rank" : 10,"comment" : "=: for a list and a domain","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsList","IsCollection"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 10,"comment" : "=: wrapped additive elements","location" : {"line" : 846,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"],["IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 8,"comment" : "=: for two words","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsWord"],["IsWord"]]},{"rank" : 6,"comment" : "=: for two lists with length - last resort","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","Tester(LENGTH)"],["IsList","Tester(LENGTH)"]]},{"rank" : 4,"comment" : "=: for two IO_Results","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gi"},"filters" : [["IO_Result"],["IO_Result"]]},{"rank" : 4,"comment" : "=: for two lists - last resort","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"]]},{"rank" : 4,"comment" : "=: for two info classes","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClassListRep"],["IsInfoClassListRep"]]},{"rank" : 2,"comment" : "=: for two IsFile objects","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gi"},"filters" : [["IsFile"],["IsFile"]]},{"rank" : 2,"comment" : "=: for another object and an IO_Result","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [[],["IO_Result"]]},{"rank" : 2,"comment" : "=: for an IO_Result and another object","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IO_Result"],[]]},{"rank" : 2,"comment" : "=: for two directories","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsDirectory"],["IsDirectory"]]},{"rank" : 2,"comment" : "=: for two families: delegate to `IsIdenticalObj'","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsFamily"],["IsFamily"]],"aka" : ["IS_IDENTICAL_OBJ","IsIdenticalObj"]},{"rank" : 2,"comment" : "=: record = record","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord"],["IsRecord"]],"aka" : ["EQ_PREC"]},{"rank" : 0,"comment" : "=:  fallback method to test conditions","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "=: for two objects in different families","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["=","EQ"]},{"name" : "<","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 222,"comment" : "<: for 32 bits pc word rep","location" : {"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is32BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is32BitsPcWordRep"]],"aka" : ["32Bits_Less"]},{"rank" : 222,"comment" : "<: for 16 bits pc word rep","location" : {"line" : 556,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is16BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is16BitsPcWordRep"]],"aka" : ["16Bits_Less"]},{"rank" : 222,"comment" : "<: method for 8 bits pc word rep","location" : {"line" : 463,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is8BitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","Is8BitsPcWordRep"]],"aka" : ["8Bits_Less"]},{"rank" : 220,"comment" : "<: straight line program perms","location" : {"line" : 1895,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsPerm","IsStraightLineProgElm"]]},{"rank" : 214,"comment" : "<: two objects with memory","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsObjWithMemory"]]},{"rank" : 134,"comment" : "<: RightCosets of perm group","location" : {"line" : 519,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsRightCoset"],["CategoryCollections(IsPerm)","IsRightCoset"]]},{"rank" : 118,"comment" : "<: for two abelian number fields","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 116,"comment" : "<: for two inf. bits assoc. words","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"],["IsInfBitsAssocWord"]],"aka" : ["InfBits_Less"]},{"rank" : 110,"comment" : "<: x with objects with memory","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsMultiplicativeElement"]]},{"rank" : 110,"comment" : "<: objects with memory with x","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsMultiplicativeElement"]]},{"rank" : 110,"comment" : "<: x with straight line program element","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsMultiplicativeElement"],["IsStraightLineProgElm"]]},{"rank" : 110,"comment" : "<: straight line program element with x","location" : {"line" : 1557,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"],["IsMultiplicativeElement"]]},{"rank" : 110,"comment" : "<: for two compressed 8 bit matrices","location" : {"line" : 887,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]],"aka" : ["LT_MAT8BIT_MAT8BIT"]},{"rank" : 90,"comment" : "<: for GF2 matrix and GF2 matrix","location" : {"line" : 1069,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]],"aka" : ["LT_GF2MAT_GF2MAT"]},{"rank" : 86,"comment" : "<: cgs comparison","location" : {"line" : 1724,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 70,"comment" : "<: groups by smallest generating sets","location" : {"line" : 4698,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 62,"comment" : "<: for two class functions","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsClassFunction"]]},{"rank" : 52,"comment" : "<: for two ANF automorphisms","location" : {"line" : 1906,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 52,"comment" : "<: for two Frobenius automorphisms","location" : {"line" : 888,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsFrobeniusAutomorphism"]]},{"rank" : 50,"comment" : "<: For 2 8 bit vectors","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["LT_VEC8BIT_VEC8BIT"]},{"rank" : 46,"comment" : "<: for two free left modules","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 44,"comment" : "<: for GF2 vectors","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]],"aka" : ["LT_GF2VEC_GF2VEC"]},{"rank" : 43,"comment" : "<: for ANF automorphism and identity mapping","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 43,"comment" : "<: for identity mapping and ANF automorphism","location" : {"line" : 1917,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 43,"comment" : "<: for a Frobenius automorphism, and an identity mapping","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 43,"comment" : "<: for an identity mapping, and a Frobenius automorphism","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsFrobeniusAutomorphism"]]},{"rank" : 40,"comment" : "<: for two underlying relations of general mappings","location" : {"line" : 1432,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"],["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 38,"comment" : "<: for transformation semigroups","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "<: for two elements in Z\/pZ (ModulusRep, small)","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 38,"comment" : "<: for two elements in Z\/pZ (ModulusRep, large)","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLexOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsLexOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "<","location" : {"line" : 1077,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsLexOrderedFFE","IsCoeffsModConwayPolRep"],["IsLexOrderedFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 36,"comment" : "<: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "<: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 36,"comment" : "<: for two unknowns in default representation","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown","IsUnknownDefaultRep"],["IsUnknown","IsUnknownDefaultRep"]]},{"rank" : 34,"comment" : "<: group homomorphisms: Images of smallest generators","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 34,"comment" : "<: for two elements in Z\/nZ (ModulusRep, nonprime)","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObjNonprime","IsModulusRep"],["IsZmodnZObjNonprime","IsModulusRep"]]},{"rank" : 34,"comment" : "<: BFElm<BFElm","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "<: BFElm<AlgElm","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "<: AlgElm<BFElm","location" : {"line" : 624,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "<: AlgElm<AlgElm","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "<: Univariate Polynomials","location" : {"line" : 868,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 33,"comment" : "<: for a list and a class function","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsList"]]},{"rank" : 33,"comment" : "<: for a class function and a list","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsList"]]},{"rank" : 32,"comment" : "<: IsTransformationRepOfEndo, IsTransformationRepOfEndo","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 32,"comment" : "<: for cyclotomic and unknown","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"],["IsUnknown"]],"aka" : ["IsLockable","IsShared","RETURN_TRUE","ReturnTrue"]},{"rank" : 32,"comment" : "<: for unknown and cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 31,"comment" : "<: for `-infinity' and cyclotomic","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"],["IsCyclotomic"]]},{"rank" : 31,"comment" : "<: for cyclotomic and `-infinity'","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsNegInfinity"]]},{"rank" : 31,"comment" : "<: for `infinity' and cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"],["IsCyclotomic"]]},{"rank" : 31,"comment" : "<: for cyclotomic and `infinity'","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsInfinity"]]},{"rank" : 30,"comment" : "<: for two plist matrices","location" : {"line" : 1429,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 30,"comment" : "<: for two direct product elements","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsDirectProductElement"]]},{"rank" : 30,"comment" : "<: for two finite field elements in different characteristic","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsFFE"],["IsFFE"]]},{"rank" : 30,"comment" : "<: for a finite field element, and a cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsCyclotomic"]]},{"rank" : 30,"comment" : "<: for a cyclotomic, and a finite field element","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsFFE"]]},{"rank" : 29,"comment" : "<: for float and rational","location" : {"line" : 983,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "<: for rational and float","location" : {"line" : 983,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 29,"comment" : "<: IsTransformationRepOfEndo, IsEndoMapping","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 29,"comment" : "<: IsEndoMapping, IsTransformationRepOfEndo","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 28,"comment" : "<","location" : {"line" : 1361,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPadicExtensionNumber"]]},{"rank" : 28,"comment" : "<","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPurePadicNumber"]]},{"rank" : 26,"comment" : "<: zmodnze : for two elements in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 26,"comment" : "<: for s. c. ring elements in dense vector rep.","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "<: for two Lie objects in default representation","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 26,"comment" : "<: for s. c. algebra elements in dense vector rep.","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 25,"comment" : "<: for floats","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "<: FElm<BFElm","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsAlgBFRep"]]},{"rank" : 25,"comment" : "<: BFElm<FElm","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "<: FElm<AlgElm","location" : {"line" : 686,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsKroneckerConstRep"]]},{"rank" : 25,"comment" : "<: AlgElm<FElm","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 24,"comment" : "<: rational functions","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsPolynomialFunction"]],"aka" : ["SMALLER_RATFUN"]},{"rank" : 24,"comment" : "<: for two UEALattice elements","location" : {"line" : 1464,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"],["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 24,"comment" : "<: for binary rels over [1..n] with images list","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 23,"comment" : "<: for a permutation, and a finite field element","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsPerm"],["IsFFE"]]},{"rank" : 23,"comment" : "<: for a permutation, and a cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsPerm"],["IsCyclotomic"]]},{"rank" : 23,"comment" : "<: for a finite field element, and a permutation","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsPerm"]]},{"rank" : 23,"comment" : "<: for a cyclotomic, and a permutation","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsPerm"]]},{"rank" : 22,"comment" : "<: for a transformation and finite field element","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsTransformation"],["IsFFE"]]},{"rank" : 22,"comment" : "<: for a finite field element and transformation","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsTransformation"]]},{"rank" : 22,"comment" : "<: for a cyclotomic and transformation","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsTransformation"]]},{"rank" : 22,"comment" : "<: for a transformation and cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsTransformation"],["IsCyclotomic"]]},{"rank" : 22,"comment" : "<: for two plist vectors","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsPlistVectorRep"]]},{"rank" : 22,"comment" : "<: for s. c. algebra elements","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsSCAlgebraObj"]]},{"rank" : 22,"comment" : "<: for two normalized f.p. algebra elements","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsElementOfFpAlgebra","IsNormalForm","Tester(IsNormalForm)"],["IsElementOfFpAlgebra","IsNormalForm","Tester(IsNormalForm)"]]},{"rank" : 22,"comment" : "<: for two free magma ring elements","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 20,"comment" : "<: xorbs, via AsSSortedList","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"],["IsExternalOrbit"]]},{"rank" : 20,"comment" : "<: for two weight rep elements","location" : {"line" : 2898,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 20,"comment" : "<: for two cochains","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"],["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 20,"comment" : "<: for direct sum elements","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"],["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 20,"comment" : "<: for sparse rowspace elements","location" : {"line" : 2939,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"],["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 20,"comment" : "<: for monomial elements","location" : {"line" : 1465,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"],["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 20,"comment" : "<: for two algebra module elements in packed representation","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 19,"comment" : "<","location" : {"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsModulusRep"],["IsCoeffsModConwayPolRep"]]},{"rank" : 19,"comment" : "<","location" : {"line" : 1121,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsCoeffsModConwayPolRep"],["IsFFE","IsModulusRep"]]},{"rank" : 19,"comment" : "<","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsCoeffsModConwayPolRep"]]},{"rank" : 19,"comment" : "<","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsCoeffsModConwayPolRep"],["IsFFE","IsInternalRep"]]},{"rank" : 18,"comment" : "<: for two f.p. algebra elements (try nice monomorphism)","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsElementOfFpAlgebra"],["IsElementOfFpAlgebra"]]},{"rank" : 18,"comment" : "<: for two small homogeneous lists","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsHomogeneousList","IsSmallList","Tester(IsSmallList)"],["IsHomogeneousList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["LT_LIST_LIST_DEFAULT"]},{"rank" : 18,"comment" : "<: for two small lists, possibly in different families","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],["IsList","IsSmallList","Tester(IsSmallList)"]]},{"rank" : 17,"comment" : "<: for a list, and a finite field element","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList"],["IsFFE"]]},{"rank" : 17,"comment" : "<: for a list, and a cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList"],["IsCyclotomic"]]},{"rank" : 17,"comment" : "<: for a finite field element, and a list","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsList"]]},{"rank" : 17,"comment" : "<: for a cyclotomic, and a list","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsList"]]},{"rank" : 16,"comment" : "<: for fp monoid elts produced by the Froidure-Pin algorithm","location" : {"line" : 1417,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFpMonoidReducedElt","Tester(IsFpMonoidReducedElt)"],["IsFpMonoidReducedElt","Tester(IsFpMonoidReducedElt)"]]},{"rank" : 16,"comment" : "<: for two 32 bits assoc. words","location" : {"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["Is32BitsAssocWord"]]},{"rank" : 16,"comment" : "<: for two 16 bits assoc. words","location" : {"line" : 556,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 16,"comment" : "<: for two 8 bits assoc. words","location" : {"line" : 463,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 16,"comment" : "<: for a character, and a finite field element","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsChar"],["IsFFE"]]},{"rank" : 16,"comment" : "<: for a character, and a cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsChar"],["IsCyclotomic"]]},{"rank" : 16,"comment" : "<: for a boolean, and a finite field element","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsBool"],["IsFFE"]]},{"rank" : 16,"comment" : "<: for a boolean, and a cyclotomic","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsBool"],["IsCyclotomic"]]},{"rank" : 16,"comment" : "<: for a finite field element, and a character","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsChar"]]},{"rank" : 16,"comment" : "<: for a finite field element, and a boolean","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsFFE"],["IsBool"]]},{"rank" : 16,"comment" : "<: for a cyclotomic, and a character","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsChar"]]},{"rank" : 16,"comment" : "<: for a cyclotomic, and a boolean","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyclotomic"],["IsBool"]]},{"rank" : 14,"comment" : "<: for fp semigp elts produced by the Froidure-Pin algorithm","location" : {"line" : 1403,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFpSemigpReducedElt","Tester(IsFpSemigpReducedElt)"],["IsFpSemigpReducedElt","Tester(IsFpSemigpReducedElt)"]]},{"rank" : 14,"comment" : "<: for two f.p. group elements","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"],["IsElementOfFpGroup"]]},{"rank" : 14,"comment" : "<: wreath elements","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"],["IsWreathProductElement"]]},{"rank" : 14,"comment" : "<: for two elements of magma by mult. table","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"],["IsMagmaByMultiplicationTableObj"]]},{"rank" : 14,"comment" : "<: for two elements of magmas with zero adjoined","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"],["IsMagmaWithZeroAdjoinedElementRep"]]},{"rank" : 14,"comment" : "<: for two general mappings","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 14,"comment" : "<: for two finite homogeneous lists (not necessarily small)","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsHomogeneousList","IsFinite","Tester(IsFinite)"],["IsHomogeneousList","IsFinite","Tester(IsFinite)"]],"aka" : ["LT_LIST_LIST_FINITE"]},{"rank" : 12,"comment" : "<","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"],["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 12,"comment" : "<: for two elements of a f.p. monoid","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"],["IsElementOfFpMonoid"]]},{"rank" : 12,"comment" : "<","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 12,"comment" : "<: assoc words in letter rep","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 12,"comment" : "<: for two equivalence classes","location" : {"line" : 2176,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceClass"],["IsEquivalenceClass"]]},{"rank" : 10,"comment" : "<: for elements of a Rees 0-matrix semigroup","location" : {"line" : 938,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"],["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "<: for elements of a Rees matrix semigroup","location" : {"line" : 922,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"],["IsReesMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "<: for two elements of a f.p. semigroup","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"],["IsElementOfFpSemigroup"]]},{"rank" : 10,"comment" : "<: assoc words","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 10,"comment" : "<: for a domain and a list","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsList","IsCollection"]]},{"rank" : 10,"comment" : "<: for a list and a domain","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsList","IsCollection"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 10,"comment" : "<: for a list, and a permutation","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList"],["IsPerm"]]},{"rank" : 10,"comment" : "<: for a permutation, and a list","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsPerm"],["IsList"]]},{"rank" : 10,"comment" : "<: wrapped additive elements","location" : {"line" : 835,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"],["IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 9,"comment" : "<: for a character, and a permutation","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsChar"],["IsPerm"]]},{"rank" : 9,"comment" : "<: for a boolean, and a permutation","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsBool"],["IsPerm"]]},{"rank" : 9,"comment" : "<: for a permutation, and a character","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsPerm"],["IsChar"]]},{"rank" : 9,"comment" : "<: for a permutation, and a boolean","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsPerm"],["IsBool"]]},{"rank" : 8,"comment" : "<: nonassoc words","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsWord"],["IsWord"]]},{"rank" : 4,"comment" : "<: for two info classes","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClassListRep"],["IsInfoClassListRep"]]},{"rank" : 4,"comment" : "<: for two finite lists, possibly in different families","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsList"],["IsList"]]},{"rank" : 3,"comment" : "<: for a list, and a character","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList"],["IsChar"]]},{"rank" : 3,"comment" : "<: for a list, and a boolean","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList"],["IsBool"]]},{"rank" : 3,"comment" : "<: for a character, and a list","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsChar"],["IsList"]]},{"rank" : 3,"comment" : "<: for a boolean, and a list","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsBool"],["IsList"]]},{"rank" : 2,"comment" : "<: for two IsFile objects","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gi"},"filters" : [["IsFile"],["IsFile"]]},{"rank" : 2,"comment" : "<: for a character, and a boolean","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsChar"],["IsBool"]]},{"rank" : 2,"comment" : "<: for a boolean, and a character","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsBool"],["IsChar"]]},{"rank" : 2,"comment" : "<: record < record","location" : {"line" : 341,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord"],["IsRecord"]],"aka" : ["LT_PREC"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["<","LT"]},{"name" : "in","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10004,"comment" : "in: for an object, and a collection that contains the whole family","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsCollection","IsWholeFamily","Tester(IsWholeFamily)"]]},{"rank" : 10002,"comment" : "in: for wrong family relation","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsCollection"]]},{"rank" : 438,"comment" : "in: TF method, use tree","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"]]},{"rank" : 434,"comment" : "in: for a FFE, and a field of FFEs","location" : {"line" : 680,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 429,"comment" : "in: special linear group","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalSL","Tester(IsNaturalSL)"]]},{"rank" : 427,"comment" : "in: general linear group","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"]]},{"rank" : 410,"comment" : "in: respecting sesquilinear form","location" : {"line" : 783,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFullSubgroupGLorSLRespectingSesquilinearForm","Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"]]},{"rank" : 410,"comment" : "in: respecting bilinear form","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFullSubgroupGLorSLRespectingBilinearForm","Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"]]},{"rank" : 410,"comment" : "in: for groups of FFE","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFFE"],["CategoryCollections(IsFFE)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 374,"comment" : "in: by nice monomorphism","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 136,"comment" : "in: subgroup by property","location" : {"line" : 4298,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ElementTestFunction)"]]},{"rank" : 88,"comment" : "in: for matrix and SL(n,Z)","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNaturalSL","Tester(IsNaturalSL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]]},{"rank" : 86,"comment" : "in: for matrix and GL(n,Z)","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNaturalGL","Tester(IsNaturalGL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]]},{"rank" : 84,"comment" : "in: for cyclotomic and Rationals","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsCyclotomic"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 84,"comment" : "in: for subgroups of Z\/p^aZ, p<>2","location" : {"line" : 950,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObjNonprime"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 83,"comment" : "in: for cyclotomic and cyclotomic field","location" : {"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsCyc"],["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 81,"comment" : "in: for cyclotomic and abelian number field","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsCyc"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 70,"comment" : "in: perm in natsymmetric group","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsPerm"],["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 70,"comment" : "in: alternating","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsPerm"],["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 70,"comment" : "in: Alg in Ext","location" : {"line" : 786,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement"],["IsAlgebraicExtension"]]},{"rank" : 67,"comment" : "in: for a permutation, and a permutation group","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsPerm"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 63,"comment" : "in: FElm in Ext","location" : {"line" : 792,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsAlgebraicExtension"]]},{"rank" : 60,"comment" : "in: for full row module","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 58,"comment" : "in: for Gaussian integers","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsCyc"],["IsGaussianIntegers"]]},{"rank" : 54,"comment" : "in: for integers","location" : {"line" : 1856,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsCyclotomic"],["IsIntegers"]]},{"rank" : 53,"comment" : "in","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754PseudoField"]]},{"rank" : 52,"comment" : "in: for s. c. algebra element, and full s. c. algebra","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsFullSCAlgebra","Tester(IsFullSCAlgebra)"]]},{"rank" : 51,"comment" : "in: generic direct product","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsDirectProductElement"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 49,"comment" : "in: generic wreath product","location" : {"line" : 1058,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)","CategoryCollections(IsWreathProductElement)"],["IsWreathProductElement"]]},{"rank" : 48,"comment" : "in: for full matrix module","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [[],["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 47,"comment" : "in: polynomial ideal","location" : {"line" : 1168,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]]},{"rank" : 46,"comment" : "in","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsConjugacyClassSubgroupsRep"]]},{"rank" : 46,"comment" : "in: for ring element, and magma ring","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsMagmaRingModuloRelations"]]},{"rank" : 44,"comment" : "in: for pc group","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)","CanEasilyComputePcgs"]]},{"rank" : 43,"comment" : "in: subgroup of fp group by quotient rep","location" : {"line" : 513,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 43,"comment" : "in: for pcgs computable groups with home pcgs","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(InducedPcgsWrtHomePcgs)","CanEasilyComputePcgs"]]},{"rank" : 43,"comment" : "in: for full hom space of linear mappings","location" : {"line" : 2031,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping"],["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 43,"comment" : "in: for nonnegative integers","location" : {"line" : 1882,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsCyclotomic"],["IsNonnegativeIntegers"]]},{"rank" : 42,"comment" : "in: subgroup of fp group","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsSubgroupFpGroup"]]},{"rank" : 42,"comment" : "in: for pcgs computable groups with induced pcgs","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ComputedInducedPcgses)","CanEasilyComputePcgs"]]},{"rank" : 42,"comment" : "in: for row vector and Gaussian row space","location" : {"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 42,"comment" : "in: for positive integers","location" : {"line" : 1869,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsCyclotomic"],["IsPositiveIntegers"]]},{"rank" : 41,"comment" : "in: SC Rings","location" : {"line" : 812,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 41,"comment" : "in: default method, checking for <g> being among the generators","location" : {"line" : 4261,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "in: ratfun in fctfield","location" : {"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsRationalFunction"],["IsFunctionField"]]},{"rank" : 39,"comment" : "in: polynomial in polynomial ring","location" : {"line" : 498,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialFunction"],["IsPolynomialRing"]]},{"rank" : 35,"comment" : "in: for an element and an underlying relation of a general mapping","location" : {"line" : 1506,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsDirectProductElement"],["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 33,"comment" : "in: for vector and free left module that is handled by a nice basis","location" : {"line" : 1260,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 32,"comment" : "in: for vector and fin. dim. free left module","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)"]]},{"rank" : 25,"comment" : "in: for eq relation with partition","location" : {"line" : 1896,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsList"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","Tester(EquivalenceRelationPartition)"]]},{"rank" : 24,"comment" : "in: for a transformation and a full transformation semigroup","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsTransformation"],["IsFullTransformationSemigroup","Tester(IsFullTransformationSemigroup)"]]},{"rank" : 21,"comment" : "in: perm class rep","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsPerm"],["IsConjugacyClassPermGroupRep"]]},{"rank" : 20,"comment" : "in: for a right coset with representative","location" : {"line" : 1159,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [[],["Tester(Representative)","Tester(ActingDomain)","Tester(FunctionAction)","IsRightCosetDefaultRep"]]},{"rank" : 20,"comment" : "in","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsPerm"],["IsRationalClassPermGroupRep"]]},{"rank" : 17,"comment" : "in: xset: Test representative equal","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["Tester(Representative)","IsExternalSet"]]},{"rank" : 17,"comment" : "in: for an object, and an empty list","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "in: for additive element and additive coset","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveElement"],["IsAdditiveCoset"]]},{"rank" : 14,"comment" : "in: for binary rels over [1..n] with images list","location" : {"line" : 1182,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsList"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 13,"comment" : "in: double coset","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsDoubleCoset"]]},{"rank" : 13,"comment" : "in: by CanonicalRepresentativeDeterminator","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsExternalOrbit","Tester(CanonicalRepresentativeDeterminatorOfExternalSet)"]]},{"rank" : 13,"comment" : "in: xorb HasAsSSortedList","location" : {"line" : 534,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["Tester(AsSSortedList)","IsExternalOrbit"]]},{"rank" : 12,"comment" : "in: xorb HasAsList","location" : {"line" : 524,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["Tester(AsList)","IsExternalOrbit"]]},{"rank" : 12,"comment" : "in: very small xorbs: test in AsList","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["Tester(Size)","IsExternalOrbit"]]},{"rank" : 11,"comment" : "in","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [[],["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "in: xorb: HasEnumerator","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["Tester(Enumerator)","IsExternalOrbit"]]},{"rank" : 10,"comment" : "in: xorb: RepresentativeAction","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsExternalOrbit"]]},{"rank" : 10,"comment" : "in: for a magma congruence class","location" : {"line" : 925,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [[],["IsCongruenceClass"]]},{"rank" : 9,"comment" : "in: for an object, and a small list","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["IN_LIST_DEFAULT"]},{"rank" : 7,"comment" : "in: membership test of Green's class","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [[],["IsGreensClass"]]},{"rank" : 7,"comment" : "in: for an enumerator that perhaps has its own membership test function","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [[],["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]]},{"rank" : 6,"comment" : "in: for element and equivalence class","location" : {"line" : 2115,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [[],["IsEquivalenceClass"]]},{"rank" : 5,"comment" : "in: for a domain, and an element","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "in: for an object, and a list","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsList"]]},{"rank" : 0,"comment" : "in:  fallback method to test conditions","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IN","in"]},{"name" : "ShallowCopy","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 44,"comment" : "ShallowCopy: for GF2 matrix","location" : {"line" : 718,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]],"aka" : ["SHALLOWCOPY_GF2MAT"]},{"rank" : 31,"comment" : "ShallowCopy: for class function","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 28,"comment" : "ShallowCopy: For a compressed MatFFE","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitMatrixRep"]]},{"rank" : 28,"comment" : "ShallowCopy: for an empty row vector","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 24,"comment" : "ShallowCopy: For a compressed VecFFE","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitVectorRep"]],"aka" : ["SHALLOWCOPY_VEC8BIT"]},{"rank" : 22,"comment" : "ShallowCopy: for GF2 vectors","location" : {"line" : 1621,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]],"aka" : ["SHALLOWCOPY_GF2VEC"]},{"rank" : 19,"comment" : "ShallowCopy: combinatorial collector rep","location" : {"line" : 352,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"]]},{"rank" : 18,"comment" : "ShallowCopy","location" : {"line" : 1206,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]],"aka" : ["ShallowCopy_SingleCollector"]},{"rank" : 15,"comment" : "ShallowCopy: for a plist matrix","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "ShallowCopy","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsSortLookupDictionary"]]},{"rank" : 11,"comment" : "ShallowCopy: for a plist vector","location" : {"line" : 338,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 10,"comment" : "ShallowCopy: method for a weak pointer object","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"]]},{"rank" : 9,"comment" : "ShallowCopy","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","TableHasIntKeyFun","IsSparseHashRep"]]},{"rank" : 9,"comment" : "ShallowCopy","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsPositionLookupDictionary"]]},{"rank" : 9,"comment" : "ShallowCopy","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsListLookupDictionary"]]},{"rank" : 9,"comment" : "ShallowCopy: for a strictly sorted dense list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList","IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 8,"comment" : "ShallowCopy","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsSparseHashRep"]]},{"rank" : 8,"comment" : "ShallowCopy","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsSortDictionary"]]},{"rank" : 8,"comment" : "ShallowCopy: for a strictly sorted list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 7,"comment" : "ShallowCopy","location" : {"line" : 625,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"]]},{"rank" : 7,"comment" : "ShallowCopy","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsPositionDictionary"]]},{"rank" : 7,"comment" : "ShallowCopy","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsCopyable","IsListDictionary"]]},{"rank" : 5,"comment" : "ShallowCopy: for a Knuth Bendix rewriting system","location" : {"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]},{"rank" : 5,"comment" : "ShallowCopy: for a presentation in default representation","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gi"},"filters" : [["IsPresentation","IsPresentationDefaultRep"]],"aka" : ["DEEP_COPY_OBJ","StructuralCopy"]},{"rank" : 3,"comment" : "ShallowCopy: for a dense list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList"]]},{"rank" : 3,"comment" : "ShallowCopy: for `IsIteratorByFunctions'","location" : {"line" : 1011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator","IsIteratorByFunctionsRep"]]},{"rank" : 2,"comment" : "ShallowCopy: for a list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 1,"comment" : "ShallowCopy: generic method for mutable basis","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis"]]},{"rank" : 0,"comment" : "ShallowCopy: for a (not copyable) object","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SHALLOW_COPY_OBJ","ShallowCopy"]},{"name" : "Name","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "Name: system getter","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep","Tester(Name)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Name)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10001,"comment" : "Setter(Name): generic test routine","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],[]]},{"rank" : 22,"comment" : "Setter(Name): set name of indeterminate","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsString"]]},{"rank" : 2,"comment" : "Setter(Name): system setter","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Name): default method, does nothing","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [[],[]],"aka" : ["DO_NOTHING_SETTER"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetName"]},{"name" : "Tester(Name)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasName"]},{"name" : "InfoText","type" : "GAP_Operation","filters" : [[[]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "InfoText: system getter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep","Tester(InfoText)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InfoText)","type" : "GAP_Operation","filters" : [[[],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InfoText): system mutable setter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InfoText): default method, does nothing","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInfoText"]},{"name" : "Tester(InfoText)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInfoText"]},{"name" : "String","type" : "GAP_Operation","filters" : [[[]],[[],["IsInt"]]],"locations" : [{"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "String: system getter","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep","Tester(String)"]]},{"rank" : 10000,"comment" : "String","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/teaching.g"},"filters" : [[]]},{"rank" : 429,"comment" : "String: for a field of FFEs","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 67,"comment" : "String: for cyclotomic field of cyclotomics","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 65,"comment" : "String: for abelian number field of cyclotomics","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 62,"comment" : "String: for natural alternating group","location" : {"line" : 1785,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "String: for natural symmetric group","location" : {"line" : 1774,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 61,"comment" : "String: for a polynomial ring","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"]]},{"rank" : 48,"comment" : "String: for full row modules","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 36,"comment" : "String: for a group with generators","location" : {"line" : 3951,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "String: for a group","location" : {"line" : 3929,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "String: for a range","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"]]},{"rank" : 27,"comment" : "String: for a inverse monoid with known generators","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 26,"comment" : "String: for a inverse monoid","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 23,"comment" : "String: for conjugator isomorphism","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 22,"comment" : "String: for a inverse semigroup with known generators","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 21,"comment" : "String: for a inverse semigroup","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 21,"comment" : "String: for monoid with known generators","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "String: for monoid","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 18,"comment" : "String: for element in Z\/pZ (ModulusRep)","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 18,"comment" : "String: for an unknown in default representation","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown","IsUnknownDefaultRep"]]},{"rank" : 18,"comment" : "String: for an integer","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInt"]]},{"rank" : 17,"comment" : "String: for GHBI","location" : {"line" : 893,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "String: For large finite field elements","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "String: for an internal FFE","location" : {"line" : 950,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 17,"comment" : "String: AlgElm","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "String: BFElm","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"]]},{"rank" : 17,"comment" : "String: laurent polynomial","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 17,"comment" : "String: for a rational","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsRat"]]},{"rank" : 16,"comment" : "String: for element in Z\/nZ (ModulusRep)","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 16,"comment" : "String: for a semigroup with known generators","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 16,"comment" : "String: for -infinity","location" : {"line" : 1105,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"]]},{"rank" : 16,"comment" : "String: for infinity","location" : {"line" : 1100,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"]]},{"rank" : 16,"comment" : "String: for a cyclotomic","location" : {"line" : 1095,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"]]},{"rank" : 15,"comment" : "String: for macfloats","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 15,"comment" : "String: for plist matrix","location" : {"line" : 1304,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "String: univar","location" : {"line" : 1349,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "String: for a semigroup","location" : {"line" : 380,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 14,"comment" : "String: polynomial","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 13,"comment" : "String: rational function","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]},{"rank" : 11,"comment" : "String: for a plist vector","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "String: for s. c. ring element","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "String: for s. c. algebra element","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "String: for magma ring element","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "String: pcword","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]]},{"rank" : 9,"comment" : "String: for an element of an f.p. group (default repres.)","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 8,"comment" : "String: for a permutation","location" : {"line" : 706,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "String: for a partial perm","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "String: for a transformation","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : 6,"comment" : "String: for an fp monoid element","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]},{"rank" : 5,"comment" : "String: for an f.p. semigroup element","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"]]},{"rank" : 5,"comment" : "String: for an associative word","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord"]],"aka" : ["NiceStringAssocWord"]},{"rank" : 5,"comment" : "String: for a nonassociative word","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord"]]},{"rank" : 5,"comment" : "String: for a string (do nothing)","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"filters" : [["IsString"]]},{"rank" : 2,"comment" : "String: for a (finite) list","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 1,"comment" : "String: for a boolean","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/boolean.g"},"filters" : [["IsBool"]]},{"rank" : 1,"comment" : "String: record","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "String: for a character","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/string.g"},"filters" : [["IsChar"]]},{"rank" : 0,"comment" : "String","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [{"rank" : 21,"comment" : "String: for an object, and zero","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsZeroCyc"]]},{"rank" : 19,"comment" : "String: for an object, and a negative integer","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsInt","IsNegRat"]]},{"rank" : 19,"comment" : "String: for an object, and a positive integer","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(String)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(String): system setter","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(String): default method, does nothing","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetString"]},{"name" : "Tester(String)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasString"]},{"name" : "PrintObj","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10036,"comment" : "PrintObj: for full hom space of linear mappings","location" : {"line" : 2012,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 10023,"comment" : "PrintObj: for full ring Z\/nZ","location" : {"line" : 835,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 10017,"comment" : "PrintObj: for zero mapping","location" : {"line" : 1633,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 10017,"comment" : "PrintObj: for identity mapping","location" : {"line" : 1352,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"]]},{"rank" : 10013,"comment" : "PrintObj: for a Lie object in default representation","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 10009,"comment" : "PrintObj: for a canonical basis","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)"]]},{"rank" : 10001,"comment" : "PrintObj: for an object with name","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["Tester(Name)"]]},{"rank" : 429,"comment" : "PrintObj: for a field of FFEs","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 136,"comment" : "PrintObj: subgroup by property","location" : {"line" : 4284,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ElementTestFunction)"]]},{"rank" : 110,"comment" : "PrintObj: for a restricted mapping","location" : {"line" : 1933,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"]]},{"rank" : 110,"comment" : "PrintObj: for a composition mapping","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 109,"comment" : "PrintObj: for an inverse mapping","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 107,"comment" : "PrintObj: objects with memory","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 67,"comment" : "PrintObj: for cyclotomic field of cyclotomics","location" : {"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 65,"comment" : "PrintObj: for abelian number field of cyclotomics","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 62,"comment" : "PrintObj: for natural symmetric group","location" : {"line" : 1801,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 62,"comment" : "PrintObj: for natural alternating group","location" : {"line" : 1793,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 61,"comment" : "PrintObj: for a function field","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsFunctionField"]]},{"rank" : 61,"comment" : "PrintObj: for a polynomial ring","location" : {"line" : 372,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"]]},{"rank" : 57,"comment" : "PrintObj: for algebraic extension","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNumberField","Tester(IsNumberField)","IsAlgebraicExtension"]]},{"rank" : 55,"comment" : "PrintObj: for a field with known generators","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","Tester(GeneratorsOfDivisionRing)"]]},{"rank" : 54,"comment" : "PrintObj: for a field","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 48,"comment" : "PrintObj: for full matrix module","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "PrintObj: for full row module","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 45,"comment" : "PrintObj: for a matrix group","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "PrintObj: for a semigroup with known generators","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsMagmaWithInverses","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "PrintObj: for an algebra-with-one with known generators","location" : {"line" : 2087,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 39,"comment" : "PrintObj: for an algebra-with-one","location" : {"line" : 2074,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 38,"comment" : "PrintObj: for a semigroup with known generators","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsMagmaWithInverses","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "PrintObj: for a FLMLOR-with-one with known generators","location" : {"line" : 1976,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 37,"comment" : "PrintObj: for an algebra with known generators","location" : {"line" : 2030,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 37,"comment" : "PrintObj: for a FLMLOR-with-one","location" : {"line" : 1963,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 36,"comment" : "PrintObj: for an algebra","location" : {"line" : 2018,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 36,"comment" : "PrintObj: for a free magma ring","location" : {"line" : 679,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 36,"comment" : "PrintObj: for a group with generators","location" : {"line" : 3940,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "PrintObj: for a character","location" : {"line" : 1149,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsCharacter","Tester(IsCharacter)"]]},{"rank" : 35,"comment" : "PrintObj: for a FLMLOR with known generators","location" : {"line" : 1918,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 35,"comment" : "PrintObj: for a group","location" : {"line" : 3922,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 34,"comment" : "PrintObj: for a FLMLOR","location" : {"line" : 1906,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 34,"comment" : "PrintObj: for an ordinary block matrix","location" : {"line" : 641,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 33,"comment" : "PrintObj: for a virtual character","location" : {"line" : 1141,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 33,"comment" : "PrintObj: for a semigroup Congruence with known generating pairs","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 32,"comment" : "PrintObj: for a semigroup congruence","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 31,"comment" : "PrintObj: for a class function","location" : {"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 31,"comment" : "PrintObj: for an algebra-with-one hom. b.i","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsOne","Tester(RespectsOne)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 31,"comment" : "PrintObj: for null map matrix","location" : {"line" : 338,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 30,"comment" : "PrintObj: for a ring-with-one with generators","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 29,"comment" : "PrintObj: for an alg. hom. from f. p. algebra","location" : {"line" : 977,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsAlgebraHomomorphismFromFpRep"]]},{"rank" : 29,"comment" : "PrintObj: for an operation algebra homomorphism","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"]]},{"rank" : 29,"comment" : "PrintObj: for an algebra hom. b.i.","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 29,"comment" : "PrintObj: for a two-sided ideal with known generators","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 29,"comment" : "PrintObj: for a ring-with-one","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 29,"comment" : "PrintObj: for a right semigroup congruence with known generating pairs","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsRightSemigroupCongruence","Tester(IsRightSemigroupCongruence)"]]},{"rank" : 29,"comment" : "PrintObj: for a left semigroup congruence with known generating pairs","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["Tester(GeneratingPairsOfMagmaCongruence)","IsLeftSemigroupCongruence","Tester(IsLeftSemigroupCongruence)"]]},{"rank" : 28,"comment" : "PrintObj: For a compressed MatFFE","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitMatrixRep"]]},{"rank" : 28,"comment" : "PrintObj: for a right ideal with known generators","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 28,"comment" : "PrintObj: for a left ideal with known generators","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)","Tester(LeftActingRingOfIdeal)"]]},{"rank" : 27,"comment" : "PrintObj: for inner automorphism","location" : {"line" : 1273,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsInnerAutomorphism","Tester(IsInnerAutomorphism)"]]},{"rank" : 27,"comment" : "PrintObj: for an ring hom. b.i.","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 27,"comment" : "PrintObj: for algebra module","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsAlgebraModule","Tester(IsAlgebraModule)"]]},{"rank" : 27,"comment" : "PrintObj: for an algebra-with-one g.m.b.i","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","RespectsOne","Tester(RespectsOne)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 27,"comment" : "PrintObj: for a left module hom. b.i","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 27,"comment" : "PrintObj: for a ring with generators","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 27,"comment" : "PrintObj: for a inverse monoid with known generators","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 27,"comment" : "PrintObj: for a magma Congruence with known generating pairs","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 27,"comment" : "PrintObj: for a right magma congruence with known generating pairs","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 27,"comment" : "PrintObj: for a left magma congruence with known generating pairs","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence","Tester(GeneratingPairsOfMagmaCongruence)"]]},{"rank" : 26,"comment" : "PrintObj: for ANF automorphism","location" : {"line" : 2082,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 26,"comment" : "PrintObj: for a Frobenius automorphism","location" : {"line" : 900,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"]]},{"rank" : 26,"comment" : "PrintObj: method for vector space with left module generators","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 26,"comment" : "PrintObj: for a ring","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 26,"comment" : "PrintObj: for a magma congruence","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"]]},{"rank" : 25,"comment" : "PrintObj: for an algebra g.m.b.i","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 25,"comment" : "PrintObj: method for vector space","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 24,"comment" : "PrintObj: pcgs","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"]]},{"rank" : 24,"comment" : "PrintObj: For a compressed VecFFE","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitVectorRep"]]},{"rank" : 24,"comment" : "PrintObj: for free left module with known generators","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 24,"comment" : "PrintObj: for a right semigroup congruence","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsRightSemigroupCongruence","Tester(IsRightSemigroupCongruence)"]]},{"rank" : 24,"comment" : "PrintObj: for a left semigroup congruence","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsLeftSemigroupCongruence","Tester(IsLeftSemigroupCongruence)"]]},{"rank" : 23,"comment" : "PrintObj: for embedding into wreath product","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingImprimitiveWreathProductMatrixGroup"]]},{"rank" : 23,"comment" : "PrintObj: for projection from a direct product","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsProjectionDirectProductMatrixGroup"]]},{"rank" : 23,"comment" : "PrintObj: for embedding into direct product","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingDirectProductMatrixGroup"]]},{"rank" : 23,"comment" : "PrintObj: for embedding into wreath product","location" : {"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingWreathProductPermGroup"]]},{"rank" : 23,"comment" : "PrintObj: for projection from subdirect product","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"]]},{"rank" : 23,"comment" : "PrintObj: for projection from a direct product","location" : {"line" : 341,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"]]},{"rank" : 23,"comment" : "PrintObj: for embedding into direct product","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"]]},{"rank" : 23,"comment" : "PrintObj: method for a PcGroupHomomorphisms","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]]},{"rank" : 23,"comment" : "PrintObj: for nat. hom. of pc group","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsNaturalHomomorphismPcGroupRep"]]},{"rank" : 23,"comment" : "PrintObj: for conjugator isomorphism","location" : {"line" : 1259,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 23,"comment" : "PrintObj: for an ring g.m.b.i","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "PrintObj: for a left module m.b.m.","location" : {"line" : 1270,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 23,"comment" : "PrintObj: for a left module g.m.b.i","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "PrintObj: for free left module","location" : {"line" : 540,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 23,"comment" : "PrintObj: for a magma with zero adjoined","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsMagmaWithZeroAdjoined"]]},{"rank" : 22,"comment" : "PrintObj: for a Brauer table","location" : {"line" : 4466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "PrintObj: for an ordinary table","location" : {"line" : 4451,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 22,"comment" : "PrintObj: for action homomorphism","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"]]},{"rank" : 22,"comment" : "PrintObj: for a inverse semigroup with known generators","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 22,"comment" : "PrintObj: for a right magma congruence","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"]]},{"rank" : 22,"comment" : "PrintObj: for a left magma congruence","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"]]},{"rank" : 21,"comment" : "PrintObj: for a Rees 0-matrix semigroup","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 21,"comment" : "PrintObj: for a Rees matrix semigroup","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 21,"comment" : "PrintObj: for GHBI","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsGroupGeneralMappingByImages"]]},{"rank" : 21,"comment" : "PrintObj: combinatorial collector rep (32 Bits, up to date)","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 21,"comment" : "PrintObj: combinatorial collector rep (16 Bits, up to date)","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 21,"comment" : "PrintObj: combinatorial collector rep (8 Bits, up to date)","location" : {"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 21,"comment" : "PrintObj: for monoid with known generators","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "PrintObj: for an equivalence relation","location" : {"line" : 1963,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]},{"rank" : 20,"comment" : "PrintObj","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeCharacter"]]},{"rank" : 20,"comment" : "PrintObj: modulo pcgs","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]},{"rank" : 20,"comment" : "PrintObj: combinatorial collector rep (32 Bits)","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is32BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj: combinatorial collector rep (16 Bits)","location" : {"line" : 540,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is16BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj: combinatorial collector rep (8 Bits)","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is8BitsSingleCollectorRep","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj: combinatorial collector (up to date)","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsCombinatorialCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj","location" : {"line" : 1459,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj","location" : {"line" : 1433,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep"]]},{"rank" : 20,"comment" : "PrintObj","location" : {"line" : 1407,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj: combinatorial collector","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is32BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is16BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj","location" : {"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","Is8BitsSingleCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj","location" : {"line" : 1381,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsSingleCollectorRep"]]},{"rank" : 19,"comment" : "PrintObj: for mapping by function with inverse","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"]]},{"rank" : 18,"comment" : "PrintObj: for a subsemigroup of a Rees 0-matrix semigroup","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "PrintObj: for a subsemigroup of a Rees matrix semigroup","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "PrintObj","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 18,"comment" : "PrintObj: zmodnze : for full collection Z\/nZ(m)","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZepsObj)"]]},{"rank" : 18,"comment" : "PrintObj: for element in Z\/pZ (ModulusRep)","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 18,"comment" : "PrintObj: for unknown in default representation","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown","IsUnknownDefaultRep"]]},{"rank" : 18,"comment" : "PrintObj: for a semigroup ideal with known generators","location" : {"line" : 425,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","Tester(GeneratorsOfMagmaIdeal)","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 17,"comment" : "PrintObj: for semigroup homomorphism by images","location" : {"line" : 1332,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"]]},{"rank" : 17,"comment" : "PrintObj: for group general mapping b.i.","location" : {"line" : 908,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "PrintObj: for large finite field elements (use String)","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "PrintObj: AlgElm","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "PrintObj: BFElm","location" : {"line" : 332,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"]]},{"rank" : 17,"comment" : "PrintObj: laurent polynomial","location" : {"line" : 1270,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 17,"comment" : "PrintObj: for an add. magma-with-inverses with generators","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 17,"comment" : "PrintObj: for a semigroup ideal","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 16,"comment" : "PrintObj: for a Molien series","location" : {"line" : 673,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gi"},"filters" : [["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","Tester(MolienSeriesInfo)"]]},{"rank" : 16,"comment" : "PrintObj: RightCoset","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "PrintObj: for element in Z\/nZ (ModulusRep)","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 16,"comment" : "PrintObj: for a semigroup with known generators","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 16,"comment" : "PrintObj: for a magma ideal with known generators","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","Tester(GeneratorsOfMagmaIdeal)"]]},{"rank" : 16,"comment" : "PrintObj: for -infinity","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"]]},{"rank" : 16,"comment" : "PrintObj: for infinity","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"]]},{"rank" : 15,"comment" : "PrintObj: for a plist matrix","location" : {"line" : 1263,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "PrintObj: for GF2 matrix","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 15,"comment" : "PrintObj: univar","location" : {"line" : 1333,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "PrintObj: for an add. magma-with-zero with generators","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]},{"rank" : 15,"comment" : "PrintObj: for a magma ideal","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]},{"rank" : 15,"comment" : "PrintObj: for a direct product element","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "PrintObj","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]},{"rank" : 14,"comment" : "PrintObj","location" : {"line" : 896,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"]]},{"rank" : 14,"comment" : "PrintObj","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"]]},{"rank" : 14,"comment" : "PrintObj: polynomial","location" : {"line" : 611,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 14,"comment" : "PrintObj: for a right magma ideal with known generators","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsRightActedOnBySuperset","Tester(GeneratorsOfExtRSet)","IsMagma"]]},{"rank" : 14,"comment" : "PrintObj: for a left magma ideal with known generators","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","Tester(GeneratorsOfExtLSet)","IsMagma"]]},{"rank" : 14,"comment" : "PrintObj: for mapping by function","location" : {"line" : 796,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"]]},{"rank" : 13,"comment" : "PrintObj: for floats","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 13,"comment" : "PrintObj: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 13,"comment" : "PrintObj: rational function","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]},{"rank" : 13,"comment" : "PrintObj: for an add. magma with generators","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagma)"]]},{"rank" : 13,"comment" : "PrintObj: for a right magma ideal","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsRightActedOnBySuperset","IsMagma"]]},{"rank" : 13,"comment" : "PrintObj: for a left magma ideal","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsMagma"]]},{"rank" : 12,"comment" : "PrintObj","location" : {"line" : 397,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPowerCommutatorCollector"]]},{"rank" : 12,"comment" : "PrintObj","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPowerConjugateCollector"]]},{"rank" : 12,"comment" : "PrintObj: for UEALattice element","location" : {"line" : 1427,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 12,"comment" : "PrintObj: for an additive coset","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 12,"comment" : "PrintObj: for an add. magma","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 12,"comment" : "PrintObj: for a binary relation on  n points","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 11,"comment" : "PrintObj","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"]]},{"rank" : 11,"comment" : "PrintObj","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "PrintObj","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "PrintObj","location" : {"line" : 379,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"]]},{"rank" : 11,"comment" : "PrintObj: for a plist vector","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "PrintObj: for GF2 vector","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]},{"rank" : 11,"comment" : "PrintObj: for s. c. ring element","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "PrintObj: for symmetric elements","location" : {"line" : 2505,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsSymmetricPowerElement","IsMonomialElementRep"]]},{"rank" : 11,"comment" : "PrintObj: for wedge elements","location" : {"line" : 2170,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsWedgeElement","IsMonomialElementRep"]]},{"rank" : 11,"comment" : "PrintObj: for tensor elements","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsTensorElement","IsMonomialElementRep"]]},{"rank" : 11,"comment" : "PrintObj: for s. c. algebra element","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "PrintObj: fp algebra elements","location" : {"line" : 463,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 11,"comment" : "PrintObj: for magma ring element","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 11,"comment" : "PrintObj: for a mapping","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 10,"comment" : "PrintObj: for external orbit","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 10,"comment" : "PrintObj: pcword","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]]},{"rank" : 10,"comment" : "PrintObj","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]]},{"rank" : 10,"comment" : "PrintObj: for weight rep element","location" : {"line" : 2755,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 10,"comment" : "PrintObj: for direct sum elements","location" : {"line" : 3238,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 10,"comment" : "PrintObj: for algebra module element in packed representation","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 10,"comment" : "PrintObj: method for a subspaces domain","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsSubspacesVectorSpace","IsSubspacesVectorSpaceDefaultRep"]]},{"rank" : 10,"comment" : "PrintObj: for a semi-echelonized basis with basis vectors","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsSemiEchelonized","Tester(IsSemiEchelonized)","Tester(BasisVectors)"]]},{"rank" : 10,"comment" : "PrintObj: method for a weak pointer object","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"]]},{"rank" : 9,"comment" : "PrintObj: for an element of an f.p. group (default repres.)","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 9,"comment" : "PrintObj: sliced perm","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsSlicedPermInv"]]},{"rank" : 9,"comment" : "PrintObj: sliced perm","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsSlicedPerm"]]},{"rank" : 9,"comment" : "PrintObj: for external subset","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSubset"]]},{"rank" : 9,"comment" : "PrintObj: for a semi-echelonized basis","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsSemiEchelonized","Tester(IsSemiEchelonized)"]]},{"rank" : 9,"comment" : "PrintObj: for right transversal","location" : {"line" : 2516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsRightTransversalRep"]]},{"rank" : 8,"comment" : "PrintObj","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsPackedElementDefaultRep","IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 8,"comment" : "PrintObj: for a cochain","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsCochain"]]},{"rank" : 8,"comment" : "PrintObj: for a sparse rowspace element","location" : {"line" : 2839,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsSparseRowSpaceElement"]]},{"rank" : 8,"comment" : "PrintObj: for a basis with basis vectors","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","Tester(BasisVectors)"]]},{"rank" : 7,"comment" : "PrintObj","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"]]},{"rank" : 7,"comment" : "PrintObj: for a Green's class","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]},{"rank" : 7,"comment" : "PrintObj: for a partial perm","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "PrintObj: wreath elements","location" : {"line" : 891,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"]]},{"rank" : 7,"comment" : "PrintObj: for element of magma by mult. table","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"]]},{"rank" : 7,"comment" : "PrintObj: for sparse hash tables","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsSparseHashRep"]]},{"rank" : 7,"comment" : "PrintObj: for dense hash tables","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"]]},{"rank" : 7,"comment" : "PrintObj: for a basis","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]},{"rank" : 7,"comment" : "PrintObj: for an element of a magma with zero adjoined","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"]]},{"rank" : 7,"comment" : "PrintObj: for a general mapping","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 7,"comment" : "PrintObj: for an enumerator that perhaps has its own `PrintObj' function","location" : {"line" : 540,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]]},{"rank" : 6,"comment" : "PrintObj","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 6,"comment" : "PrintObj: for an fp monoid element","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]},{"rank" : 6,"comment" : "PrintObj: External Set","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]},{"rank" : 6,"comment" : "PrintObj: assoc word in letter rep","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 6,"comment" : "PrintObj: for an eq. class","location" : {"line" : 2087,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceClass"]]},{"rank" : 6,"comment" : "PrintObj: iostream","location" : {"line" : 1436,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 5,"comment" : "PrintObj: for a Rees 0-matrix semigroup element","location" : {"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 5,"comment" : "PrintObj: for a Rees matrix semigroup element","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]},{"rank" : 5,"comment" : "PrintObj: for an f.p. semigroup element","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"]]},{"rank" : 5,"comment" : "PrintObj: for a presentation in default representation","location" : {"line" : 380,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gi"},"filters" : [["IsPresentation","IsPresentationDefaultRep"]]},{"rank" : 5,"comment" : "PrintObj: for an associative word","location" : {"line" : 304,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord"]]},{"rank" : 5,"comment" : "PrintObj: for a nonassociative word","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord"]]},{"rank" : 5,"comment" : "PrintObj: wrapped additive elements","location" : {"line" : 741,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 4,"comment" : "PrintObj: for an infinite list of generators","location" : {"line" : 1218,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"]]},{"rank" : 4,"comment" : "PrintObj: for an infinite list of names","location" : {"line" : 1087,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfNamesRep"]]},{"rank" : 4,"comment" : "PrintObj: for an enumerator","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsAttributeStoringRep"]]},{"rank" : 3,"comment" : "PrintObj: lattice","location" : {"line" : 1250,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsLatticeSubgroupsRep"]]},{"rank" : 3,"comment" : "PrintObj: for mutable basis with underlying mutable basis","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaUnderlyingMutableBasisRep"]]},{"rank" : 3,"comment" : "PrintObj: for a mutable basis of a Gaussian matrix space","location" : {"line" : 985,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"]]},{"rank" : 3,"comment" : "PrintObj: for a mutable basis of a Gaussian row space","location" : {"line" : 1501,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"]]},{"rank" : 3,"comment" : "PrintObj: for mutable basis represented by a nice mutable basis","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"]]},{"rank" : 3,"comment" : "PrintObj: for mutable basis represented by an immutable basis","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisByImmutableBasisRep"]]},{"rank" : 3,"comment" : "PrintObj: for an iterator that perhaps has its own `PrintObj' function","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator","IsIteratorByFunctionsRep"]]},{"rank" : 2,"comment" : "PrintObj","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem"]]},{"rank" : 2,"comment" : "PrintObj","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsRandomSource"]]},{"rank" : 2,"comment" : "PrintObj: output text none","location" : {"line" : 1253,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextNoneRep"]]},{"rank" : 2,"comment" : "PrintObj: output text file","location" : {"line" : 1128,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextFileRep"]]},{"rank" : 2,"comment" : "PrintObj: output text string","location" : {"line" : 976,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStringRep"]]},{"rank" : 2,"comment" : "PrintObj: input text none","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNoneRep"]]},{"rank" : 2,"comment" : "PrintObj: input text file","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextFileRep"]]},{"rank" : 2,"comment" : "PrintObj: input text string","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep"]]},{"rank" : 2,"comment" : "PrintObj: default directory rep","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsDirectoryRep"]]},{"rank" : 2,"comment" : "PrintObj: for an info class","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClassListRep"]]},{"rank" : 2,"comment" : "PrintObj: for an operation","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsOperation"]]},{"rank" : 1,"comment" : "PrintObj","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/PrintUtil.gi"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "PrintObj: IsObjToBePrinted","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/PrintUtil.gi"},"filters" : [["IsObjToBePrinted"]]},{"rank" : 1,"comment" : "PrintObj: for a straight line program","location" : {"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]},{"rank" : 1,"comment" : "PrintObj","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]},{"rank" : 1,"comment" : "PrintObj: for a root system","location" : {"line" : 2804,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsRootSystem"]]},{"rank" : 1,"comment" : "PrintObj: closed stream","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsClosedStream"]]},{"rank" : 1,"comment" : "PrintObj: for an iterator","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator"]]},{"rank" : 1,"comment" : "PrintObj: record","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord"]]},{"rank" : 1,"comment" : "PrintObj: for 'to be defined' objects","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/variable.g"},"filters" : [["IsToBeDefinedObj"]]},{"rank" : 1,"comment" : "PRINT_OBJ: for a type","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"filters" : [["IsType"]]},{"rank" : 1,"comment" : "PRINT_OBJ: for a family","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/type.g"},"filters" : [["IsFamily"]]},{"rank" : 0,"comment" : "PrintObj: default method delegating to PrintString","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PrintString","type" : "GAP_Operation","filters" : [[[]],[[],["IsInt"]]],"locations" : [{"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "PrintString: for a group with generators","location" : {"line" : 3962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 27,"comment" : "PrintString: for a inverse monoid with known generators","location" : {"line" : 442,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 22,"comment" : "PrintString: for a inverse semigroup with known generators","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 21,"comment" : "PrintString: for monoid with known generators","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "PrintString: for a magma-with-inverses with generators","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 16,"comment" : "PrintString: RightCoset","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "PrintString: for a semigroup with known generators","location" : {"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 14,"comment" : "PrintString: for a magma-with-one with generators","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 12,"comment" : "PrintString: for a magma with generators","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)"]]},{"rank" : 11,"comment" : "PrintString: for a magma","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]},{"rank" : 9,"comment" : "PrintString: for right transversal","location" : {"line" : 2523,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsRightTransversalRep"]]},{"rank" : 7,"comment" : "PrintString: for a Green's class","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]},{"rank" : 7,"comment" : "PrintString: for a partial perm","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "PrintString: for a transformation","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : -1,"comment" : "PrintString: default method delegating to String","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [{"rank" : 21,"comment" : "PrintString: for an object, and zero","location" : {"line" : 293,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsZeroCyc"]]},{"rank" : 19,"comment" : "PrintString: for an object, and a negative integer","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsInt","IsNegRat"]]},{"rank" : 19,"comment" : "PrintString: for an object, and a positive integer","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrintString"]},{"name" : "Display","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 548,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 52,"comment" : "Display: for matrix of FFEs (for larger fields)","location" : {"line" : 1645,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 42,"comment" : "Display: for matrix of FFEs","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 41,"comment" : "Display: for matrix over Integers mod n","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]]},{"rank" : 38,"comment" : "Display: for finitely presented groups","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 31,"comment" : "Display: for a class function","location" : {"line" : 1162,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 30,"comment" : "Display: for a matrix","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],"aka" : ["PrintArray"]},{"rank" : 20,"comment" : "Display: for a nearly character table","location" : {"line" : 5079,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]},{"rank" : 17,"comment" : "Display: For large finite field elements","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 15,"comment" : "Display: for a plist matrix","location" : {"line" : 1281,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 13,"comment" : "Display: for floats","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 11,"comment" : "Display: for a plist vector","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 5,"comment" : "Display: for vector search tables in default representation","location" : {"line" : 2493,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsVectorSearchTableDefaultRep"]]},{"rank" : 2,"comment" : "Display: for a (finite) list","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 1,"comment" : "Display: for a straight line program","location" : {"line" : 380,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]},{"rank" : 1,"comment" : "Display: for a table of marks (add empty options record)","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]},{"rank" : 0,"comment" : "Display: generic: use DisplayString or otherwise PrintObj","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [{"rank" : 32,"comment" : "Display: for a class function, and a record","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsRecord"]]},{"rank" : 22,"comment" : "Display: for a nearly character table, and a list","location" : {"line" : 5086,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsList"]]},{"rank" : 21,"comment" : "Display: for a nearly character table, and a record","location" : {"line" : 5097,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsRecord"]]},{"rank" : 2,"comment" : "Display: for a straight line program, and a record","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"],["IsRecord"]]},{"rank" : 2,"comment" : "Display: for a table of marks and an options record","location" : {"line" : 1130,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsRecord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Display"]},{"name" : "DisplayString","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "DisplayString: for a partial perm semigroup with generators","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "DisplayString: for a transformation semigroup with generators","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "DisplayString: For large finite field elements","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]],"aka" : ["DisplayStringForLargeFiniteFieldElements"]},{"rank" : 17,"comment" : "DisplayString: for an internal FFE via String","location" : {"line" : 956,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 13,"comment" : "DisplayString: for floats","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 7,"comment" : "DisplayString: for a transformation","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : 7,"comment" : "DisplayString: IsList","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 1,"comment" : "DisplayString: IsChar","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsChar"]]},{"rank" : -1,"comment" : "DisplayString: generic: return default string","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DisplayString"]},{"name" : "IsInternallyConsistent","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 598,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "IsInternallyConsistent: for a Brauer table","location" : {"line" : 3694,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "IsInternallyConsistent: for an ordinary character table","location" : {"line" : 3560,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 1,"comment" : "IsInternallyConsistent: for a straight line program","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]},{"rank" : 1,"comment" : "IsInternallyConsistent: for a table of marks, decomposition test","location" : {"line" : 1975,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]},{"rank" : 0,"comment" : "IsInternallyConsistent: default method 'ReturnTrue'","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsInternallyConsistent"]},{"name" : "IsImpossible","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsImpossible: system getter","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsImpossible)"]]},{"rank" : 33,"comment" : "IsImpossible","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsOrdinaryMatrix","IsLieMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsImpossible)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsImpossible): system setter","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsImpossible): default method, does nothing","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsImpossible"]},{"name" : "Tester(IsImpossible)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsImpossible"]},{"name" : "ExtRepOfObj","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 109,"comment" : "ExtRepOfObj: for a straight line program word","location" : {"line" : 1980,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"]]},{"rank" : 103,"comment" : "ExtRepOfObj: using 32Bits_ExtRepOfObj","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsPcWordRep"]],"aka" : ["32Bits_ExtRepOfObj"]},{"rank" : 103,"comment" : "ExtRepOfObj: using 16Bits_ExtRepOfObj","location" : {"line" : 544,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsPcWordRep"]],"aka" : ["16Bits_ExtRepOfObj"]},{"rank" : 103,"comment" : "ExtRepOfObj: using 8Bits_ExtRepOfObj","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsPcWordRep"]],"aka" : ["8Bits_ExtRepOfObj"]},{"rank" : 17,"comment" : "ExtRepOfObj: for an internal cyclotomic","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsCyc","IsInternalRep"]],"aka" : ["COEFFS_CYC"]},{"rank" : 17,"comment" : "ExtRepOfObj: for element in Z\/nZ (ModulusRep, nonprime)","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObjNonprime","IsModulusRep"]]},{"rank" : 17,"comment" : "ExtRepOfObj: ExtElm","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement","IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "ExtRepOfObj: baseFieldElm","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement","IsAlgBFRep"]]},{"rank" : 13,"comment" : "ExtRepOfObj: for s. c. ring element in dense coeff. vector rep.","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 13,"comment" : "ExtRepOfObj: for s. c. algebra element in dense coeff. vector rep.","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 12,"comment" : "ExtRepOfObj: for floats","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 11,"comment" : "ExtRepOfObj: for f.p. algebra element","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 11,"comment" : "ExtRepOfObj: for magma ring element","location" : {"line" : 1374,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for weight rep element","location" : {"line" : 2728,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for an UEALattice element","location" : {"line" : 1372,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsUEALatticeElement"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for a cochain","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for a direct sum element","location" : {"line" : 3258,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for a sparse rowspace element","location" : {"line" : 2816,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for a monomial element","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 10,"comment" : "ExtRepOfObj: for algebra module element in packed element rep","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 9,"comment" : "ExtRepOfObj: for an element of an f.p. group (default repres.)","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 8,"comment" : "ExtRepOfObj: for a inf. bits assoc. word","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"]],"aka" : ["InfBits_ExtRepOfObj"]},{"rank" : 8,"comment" : "ExtRepOfObj: for a 32 bits assoc. word","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"]]},{"rank" : 8,"comment" : "ExtRepOfObj: for a 16 bits assoc. word","location" : {"line" : 544,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"]]},{"rank" : 8,"comment" : "ExtRepOfObj: for an 8 bits assoc. word","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"]]},{"rank" : 7,"comment" : "ExtRepOfObj: for a nonassoc. word","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord","IsBracketRep"]]},{"rank" : 6,"comment" : "ExtRepOfObj","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 6,"comment" : "ExtRepOfObj: assoc word in letter rep","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]],"aka" : ["ERepLettWord"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtRepOfObj"]},{"name" : "ObjByExtRep","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 25,"comment" : "ObjByExtRep: for floats","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["CategoryFamily(IsFloat)"],["CategoryCollections(IsCyclotomic)"]]},{"rank" : 23,"comment" : "ObjByExtRep: for family of elements in Z\/nZ (nonprime), and integer","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["CategoryFamily(IsZmodnZObjNonprime)"],["IsInt"]]},{"rank" : 20,"comment" : "ObjByExtRep: for a family of nonassociative words, and an integer","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["CategoryFamily(IsNonassocWord)"],["IsInt"]]},{"rank" : 13,"comment" : "ObjByExtRep: baseFieldElm","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["CategoryFamily(IsAlgebraicElement)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 9,"comment" : "ObjByExtRep: for s. c. alg. elms. family with coefficients family","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsFamilyOverFullCoefficientsFamily","CategoryFamily(IsSCAlgebraObj)"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for a InfBits-family of associative words, and a homogeneous list","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsInfBitsFamily"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for a 32Bits-family of associative words, and a homogeneous list","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is32BitsFamily"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for a 16Bits-family of associative words, and a homogeneous list","location" : {"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is16BitsFamily"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for a 8Bits-family of associative words, and a homogeneous list","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is8BitsFamily"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for s. c. ring elements family","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["CategoryFamily(IsSCRingObj)"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ObjByExtRep: for s. c. algebra elements family","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["CategoryFamily(IsSCAlgebraObj)"],["IsHomogeneousList"]]},{"rank" : 7,"comment" : "ObjByExtRep: letter rep family","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily"],["IsHomogeneousList"]]},{"rank" : 7,"comment" : "ObjByExtRep: for a family of associative words, and a homogeneous list","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily"],["IsHomogeneousList"]],"aka" : ["SyllableWordObjByExtRep"]},{"rank" : 7,"comment" : "ObjByExtRep: ExtElm","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["CategoryFamily(IsAlgebraicElement)"],["IsList"]]},{"rank" : 7,"comment" : "ObjByExtRep: for family of f.p. algebra elements with normal form","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpAlgebra)","Tester(NiceNormalFormByExtRepFunction)"],["IsList"]]},{"rank" : 6,"comment" : "ObjByExtRep: for family of UEALattice elements, and list","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["CategoryFamily(IsUEALatticeElement)"],["IsList"]]},{"rank" : 6,"comment" : "ObjByExtRep: for magma ring elements family, and list","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["CategoryFamily(IsElementOfMagmaRingModuloRelations)"],["IsList"]]},{"rank" : 5,"comment" : "ObjByExtRep: using 32Bits_AssocWord","location" : {"line" : 833,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy32BitsSingleCollector"],["IsList"]]},{"rank" : 5,"comment" : "ObjByExtRep: using 16Bits_AssocWord","location" : {"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy16BitsSingleCollector"],["IsList"]]},{"rank" : 5,"comment" : "ObjByExtRep: using 8Bits_AssocWord","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy8BitsSingleCollector"],["IsList"]]},{"rank" : 4,"comment" : "ObjByExtRep: for a family of nonassociative words, and a list","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["CategoryFamily(IsNonassocWord)"],["IsList"]]},{"rank" : 4,"comment" : "ObjByExtRep: for a family of weight rep elements and a list","location" : {"line" : 2719,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["CategoryFamily(IsWeightRepElement)"],["IsList"]]},{"rank" : 4,"comment" : "ObjByExtRep: for a family of direct sum elements and a list","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["CategoryFamily(IsDirectSumElement)"],["IsList"]]},{"rank" : 4,"comment" : "ObjByExtRep: for a sparse rowspace element family and a list","location" : {"line" : 2809,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["CategoryFamily(IsSparseRowSpaceElement)"],["IsList"]]},{"rank" : 4,"comment" : "ObjByExtRep: for a family of monomial elements and a list","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["CategoryFamily(IsMonomialElement)"],["IsList"]]},{"rank" : 2,"comment" : "ObjByExtRep: for algebra module elements family, object","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["CategoryFamily(IsAlgebraModuleElement)"],[]]}],"3args" : [],"4args" : [{"rank" : 44,"comment" : "ObjByExtRep: for a 32 bits assoc. words family, two integers, and a list","location" : {"line" : 950,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is32BitsFamily"],["IsInt"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 44,"comment" : "ObjByExtRep: for a 16 bits assoc. words family, two integers, and a list","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is16BitsFamily"],["IsInt"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 44,"comment" : "ObjByExtRep: for an 8 bits assoc. words family, two integers, and a list","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","Is8BitsFamily"],["IsInt"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 43,"comment" : "ObjByExtRep: letter rep family,integers (ignored)","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily"],["IsInt"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 41,"comment" : "ObjByExtRep: for an inf. bits assoc. words family, two integers, and a list","location" : {"line" : 959,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsInfBitsFamily"],["IsCyclotomic"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 40,"comment" : "ObjByExtRep: for a fam. of assoc. words, a cyclotomic, an int., and a homog. list","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily"],["IsCyclotomic"],["IsInt"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["NonassocWord","ObjByExtRep"]},{"name" : "KnownAttributesOfObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 676,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "KnownAttributesOfObject: for an object","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KnownAttributesOfObject"]},{"name" : "KnownPropertiesOfObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "KnownPropertiesOfObject: for an object","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KnownPropertiesOfObject"]},{"name" : "KnownTruePropertiesOfObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "KnownTruePropertiesOfObject: for an object","location" : {"line" : 553,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KnownTruePropertiesOfObject"]},{"name" : "CategoriesOfObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "CategoriesOfObject: for an object","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CategoriesOfObject"]},{"name" : "RepresentationsOfObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 802,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "RepresentationsOfObject: for an object","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RepresentationsOfObject"]},{"name" : "PostMakeImmutable","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 844,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "PostMakeImmutable: for a plist matrix","location" : {"line" : 1025,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "PostMakeImmutable","location" : {"line" : 1044,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "PostMakeImmutable","location" : {"line" : 2088,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "PostMakeImmutable: for a plist vector","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 0,"comment" : "PostMakeImmutable: unless otherwise directed, do nothing","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PostMakeImmutable"]},{"name" : "MemoryUsage","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 881,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "MemoryUsage: for a plist","location" : {"line" : 810,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsList","IsPlistRep"]]},{"rank" : 17,"comment" : "MemoryUsage: for a rational","location" : {"line" : 887,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsRat"]]},{"rank" : 1,"comment" : "MemoryUsage: for a type","location" : {"line" : 908,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsType"]]},{"rank" : 1,"comment" : "MemoryUsage: for a family","location" : {"line" : 904,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsFamily"]]},{"rank" : 1,"comment" : "MemoryUsage: for a function","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsFunction"]]},{"rank" : 1,"comment" : "MemoryUsage: for a component object","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsComponentObjectRep"]]},{"rank" : 1,"comment" : "MemoryUsage: for a positional object","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsPositionalObjectRep"]]},{"rank" : 1,"comment" : "MemoryUsage: for a record","location" : {"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [["IsRecord"]]},{"rank" : 0,"comment" : "MemoryUsage: fallback method for objs without subobjs","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/object.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MemoryUsage"]},{"name" : "FlushCaches","type" : "GAP_Operation","filters" : [[]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/variable.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FlushCaches"]},{"name" : "CollectionsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "CollectionsFamily: system getter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(CollectionsFamily)"]]},{"rank" : 91,"comment" : "CollectionsFamily: for a family","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CollectionsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CollectionsFamily): system setter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CollectionsFamily): default method, does nothing","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCollectionsFamily"]},{"name" : "Tester(CollectionsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCollectionsFamily"]},{"name" : "ElementsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ElementsFamily: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(ElementsFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ElementsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "Setter(ElementsFamily): method to inherit `Characteristic' to collections families","location" : {"line" : 609,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAttributeStoringRep","IsFamily"],["IsFamily"]]},{"rank" : 2,"comment" : "Setter(ElementsFamily): system setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ElementsFamily): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetElementsFamily"]},{"name" : "Tester(ElementsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasElementsFamily"]},{"name" : "UseSubsetRelation","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsCollection"]]],"locations" : [{"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 0,"comment" : "UseSubsetRelation: default method that checks maintenances and then returns `true'","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsCollection"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UseSubsetRelation"]},{"name" : "UseIsomorphismRelation","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsCollection"]]],"locations" : [{"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 0,"comment" : "UseIsomorphismRelation: default method that checks maintenances and then returns `true'","location" : {"line" : 751,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsCollection"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UseIsomorphismRelation"]},{"name" : "UseFactorRelation","type" : "GAP_Operation","filters" : [[["IsCollection"],[],["IsCollection"]]],"locations" : [{"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 95,"comment" : "UseFactorRelation","location" : {"line" : 1425,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "UseFactorRelation: default method that checks maintenances and then returns `true'","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsCollection"],[],["IsCollection"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UseFactorRelation"]},{"name" : "Iterator","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10006,"comment" : "Iterator: for a trivial collection","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","IsTrivial","Tester(IsTrivial)"]]},{"rank" : 432,"comment" : "Iterator","location" : {"line" : 1523,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 86,"comment" : "Iterator: for a trivial permutation group","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 69,"comment" : "Iterator: for `Rationals'","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 58,"comment" : "Iterator: for a permutation group","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 47,"comment" : "Iterator: for a free group","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 39,"comment" : "Iterator: for `Integers'","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"]]},{"rank" : 27,"comment" : "Iterator: for `PositiveIntegers'","location" : {"line" : 1625,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsPositiveIntegers"]]},{"rank" : 23,"comment" : "Iterator: for free left module (delegate to 'IteratorByBasis')","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 19,"comment" : "Iterator: more helpful error for integers","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt","IsPosRat"]]},{"rank" : 16,"comment" : "Iterator: for a free monoid","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 14,"comment" : "Iterator: for a free semigroup","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 11,"comment" : "Iterator: for subspaces collection of a (finite) full row module","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsSubspacesVectorSpace","IsSubspacesFullRowSpaceDefaultRep"]]},{"rank" : 10,"comment" : "Iterator: for a subspaces domain","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsSubspacesVectorSpace","IsSubspacesVectorSpaceDefaultRep"]]},{"rank" : 5,"comment" : "Iterator: for a collection that is a list","location" : {"line" : 906,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 3,"comment" : "Iterator: for a mutable iterator","location" : {"line" : 911,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsMutable","IsIterator"]],"aka" : ["ADOPT","ADOPT_NORECURSE","AdoptObj","AdoptSingleObj","AutoReadLock","CLONE_REACHABLE","CopyFromRegion","CopyRegion","CopyToRegion","FromAtomicComObj","FromAtomicList","FromAtomicRecord","ID_FUNC","IdFunc","LockAndAdoptObj","MakeProjectedObj","MakeProtected","MakeReadOnly","MakeReadOnlyObj","MakeReadOnlyRaw","MakeStrictWriteOnceAtomic","MakeThreadLocal","MakeWriteOnceAtomic","REACHABLE","RegionSubObjects","ShareAutoReadObj"]},{"rank" : 2,"comment" : "Iterator: for a list","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]],"aka" : ["IteratorList"]},{"rank" : 2,"comment" : "Iterator: for a collection","location" : {"line" : 901,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Iterator"]},{"name" : "IteratorSorted","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1158,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "IteratorSorted: for a collection that is a list","location" : {"line" : 942,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 2,"comment" : "IteratorSorted: for a list","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "IteratorSorted: for a collection","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IteratorSorted"]},{"name" : "IsDoneIterator","type" : "GAP_Operation","filters" : [[["IsIterator"]]],"locations" : [{"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "IsDoneIterator: primitive groups iterator","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["IsMutable","IsIterator","IsPrimGrpIterRep"]]},{"rank" : 3,"comment" : "IsDoneIterator: for `IsIteratorByFunctions'","location" : {"line" : 988,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator","IsIteratorByFunctionsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsDoneIterator"]},{"name" : "NextIterator","type" : "GAP_Operation","filters" : [[["IsMutable","IsIterator"]]],"locations" : [{"line" : 1243,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "NextIterator: primitive groups iterator","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["IsMutable","IsIterator","IsPrimGrpIterRep"]]},{"rank" : 5,"comment" : "NextIterator: for `IsIteratorByFunctions'","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsMutable","IsIterator","IsIteratorByFunctionsRep"]]},{"rank" : 1,"comment" : "NextIterator: for an immutable iterator (print a reasonable error message)","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NextIterator"]},{"name" : "IsEmpty","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsEmpty: system getter","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsEmpty)"]]},{"rank" : 4,"comment" : "IsEmpty","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(Size)"]]},{"rank" : 2,"comment" : "IsEmpty: for a list","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "IsEmpty: for a collection","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsEmpty)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsBool"]]],"locations" : [{"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsEmpty): system setter","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsEmpty): default method, does nothing","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsEmpty"]},{"name" : "Tester(IsEmpty)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsTrivial","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsTrivial: system getter","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTrivial)"]]},{"rank" : 52,"comment" : "IsTrivial: for a division ring","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 38,"comment" : "IsTrivial: for finitely presented groups","location" : {"line" : 2135,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "IsTrivial: for a FLMLOR-with-one","location" : {"line" : 2799,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 35,"comment" : "IsTrivial","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 34,"comment" : "IsTrivial: for a FLMLOR","location" : {"line" : 2786,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 24,"comment" : "IsTrivial","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(Dimension)"]]},{"rank" : 23,"comment" : "IsTrivial: for a free left module","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 17,"comment" : "IsTrivial","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 17,"comment" : "IsTrivial","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 15,"comment" : "IsTrivial","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]},{"rank" : 14,"comment" : "IsTrivial","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 4,"comment" : "IsTrivial","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(Size)"]]},{"rank" : 3,"comment" : "IsTrivial","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(IsNonTrivial)"]]},{"rank" : 2,"comment" : "IsTrivial: for a collection","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTrivial)","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsBool"]]],"locations" : [{"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTrivial): system setter","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTrivial): default method, does nothing","location" : {"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTrivial"]},{"name" : "Tester(IsTrivial)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1363,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNonTrivial","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsNonTrivial: system getter","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNonTrivial)"]]},{"rank" : 3,"comment" : "IsNonTrivial","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(IsTrivial)"]]},{"rank" : 2,"comment" : "IsNonTrivial: for a collection","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNonTrivial)","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsBool"]]],"locations" : [{"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNonTrivial): system setter","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNonTrivial): default method, does nothing","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNonTrivial"]},{"name" : "Tester(IsNonTrivial)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFinite","type" : "GAP_Operation","filters" : [[["IsCollection"]],[["IsFloat"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsFinite: system getter","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFinite)"]]},{"rank" : 52,"comment" : "IsFinite: via Minkowski kernel (short but not too efficient)","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]]},{"rank" : 48,"comment" : "IsFinite: cyclotomic matrix group","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "IsFinite: pcgs computable groups","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 36,"comment" : "IsFinite: for a magma ring modulo the span of ``zero''","location" : {"line" : 1619,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagmaRingModuloSpanOfZero"]]},{"rank" : 36,"comment" : "IsFinite: for a free magma ring","location" : {"line" : 931,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 24,"comment" : "IsFinite","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(IsFiniteDimensional)"]]},{"rank" : 23,"comment" : "IsFinite: for a free left module","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 22,"comment" : "IsFinite: for an ordinary character table","location" : {"line" : 1212,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 20,"comment" : "IsFinite: for an underlying relation of a general mapping","location" : {"line" : 1452,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 18,"comment" : "IsFinite: for a semigroup of assoc. words","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 17,"comment" : "IsFinite: for a Rees 0-matrix subsemigroup","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "IsFinite: for a Rees matrix subsemigroup","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "IsFinite","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "IsFinite","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 13,"comment" : "IsFinite: for a magma of nonassoc. words","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","CategoryCollections(IsNonassocWord)"]]},{"rank" : 12,"comment" : "IsFinite: for floats","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 12,"comment" : "IsFinite: for an additive coset","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 11,"comment" : "IsFinite: for a conjugacy class","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "IsFinite: method for an ext. orbit by stabilizer","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsExternalOrbitByStabilizerRep"]]},{"rank" : 4,"comment" : "IsFinite","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(Size)"]]},{"rank" : 2,"comment" : "IsFinite: for a collection","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFinite)","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsBool"]]],"locations" : [{"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFinite): system setter","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFinite): default method, does nothing","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFinite"]},{"name" : "Tester(IsFinite)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsWholeFamily","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsWholeFamily: system getter","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWholeFamily)"]]},{"rank" : 44,"comment" : "IsWholeFamily: for a free group","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 36,"comment" : "IsWholeFamily: for a free magma ring","location" : {"line" : 1101,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 33,"comment" : "IsWholeFamily: for s. c. algebra elements collection","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"]]},{"rank" : 24,"comment" : "IsWholeFamily: for a free monoid","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 18,"comment" : "IsWholeFamily: for a free semigroup","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 17,"comment" : "IsWholeFamily: for a subsemigroup of a Rees 0-matrix semigroup","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "IsWholeFamily: for a subsemigroup of a Rees matrix semigroup","location" : {"line" : 997,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 13,"comment" : "IsWholeFamily: for a free magma","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","CategoryCollections(IsNonassocWord)"]]},{"rank" : 2,"comment" : "IsWholeFamily: default for a collection, print an error message","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWholeFamily)","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsBool"]]],"locations" : [{"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWholeFamily): system setter","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWholeFamily): default method, does nothing","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWholeFamily"]},{"name" : "Tester(IsWholeFamily)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Size","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "Size: system getter","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(Size)"]]},{"rank" : 399,"comment" : "Size: natural SL","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalSL","Tester(IsNaturalSL)"]]},{"rank" : 397,"comment" : "Size: general linear group","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"]]},{"rank" : 395,"comment" : "Size: for groups of FFE","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["CategoryCollections(IsFFE)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 370,"comment" : "Size: handled by nice monomorphism: Attribute","location" : {"line" : 829,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 62,"comment" : "Size","location" : {"line" : 848,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "Size","location" : {"line" : 755,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 59,"comment" : "Size: for a permutation group that knows to be a direct product","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 58,"comment" : "Size: for a permutation group","location" : {"line" : 487,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 48,"comment" : "Size: cyclotomic matrix group not known to be finite","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 46,"comment" : "Size: for a matrix group that knows to be a wreath product","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)"]]},{"rank" : 46,"comment" : "Size: for a matrix group that knows to be a direct product","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 44,"comment" : "Size: for a free group","location" : {"line" : 341,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 40,"comment" : "Size: pcgs computable groups","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 38,"comment" : "Size: infinite abelianization","location" : {"line" : 3833,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["Tester(AbelianInvariants)","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "Size: for finitely presented groups","location" : {"line" : 3804,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "Size: subgroups of finitely presented groups","location" : {"line" : 3823,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 36,"comment" : "Size: for a group with known ordinary character table","location" : {"line" : 1570,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(OrdinaryCharacterTable)"]]},{"rank" : 36,"comment" : "Size: subdirect product","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SubdirectProductInfo)"]]},{"rank" : 36,"comment" : "Size: group direct product","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 30,"comment" : "Size: for sc rings and their subrings","location" : {"line" : 803,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 28,"comment" : "Size: characteristic zero ring is infinite","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["Tester(Characteristic)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 24,"comment" : "Size: for a free monoid","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 23,"comment" : "Size: for a free left module","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 20,"comment" : "Size: for a character table","location" : {"line" : 1557,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]},{"rank" : 20,"comment" : "Size: for a free semigroup","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 20,"comment" : "Size: for a free semigroup","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 20,"comment" : "Size: for an underlying relation of a general mapping","location" : {"line" : 1528,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 19,"comment" : "Size","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 18,"comment" : "Size: zmodnze : for full ring Z\/nZ(m)","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZepsObj)"]]},{"rank" : 17,"comment" : "Size: for a Rees 0-matrix semigroup","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 17,"comment" : "Size: for a Rees matrix semigroup","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 13,"comment" : "Size: for a free magma","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","CategoryCollections(IsNonassocWord)"]]},{"rank" : 12,"comment" : "Size: for an additive coset","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 12,"comment" : "Size: for a magma with a zero adjoined","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoined"]]},{"rank" : 11,"comment" : "Size: method for a rational class","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "Size: for a conjugacy class","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "Size: method for an ext. orbit by stabilizer","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsExternalOrbitByStabilizerRep"]]},{"rank" : 10,"comment" : "Size: method for a subspaces domain","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsSubspacesVectorSpace","IsSubspacesVectorSpaceDefaultRep"]]},{"rank" : 10,"comment" : "Size: for a trivial domain","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsTrivial","Tester(IsTrivial)","IsGeneralizedDomain"]]},{"rank" : 8,"comment" : "Size: double coset","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 7,"comment" : "Size: for Green's classes","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]},{"rank" : 7,"comment" : "Size: for sparse hash tables","location" : {"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"]]},{"rank" : 7,"comment" : "Size: for dense hash tables","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"]]},{"rank" : 5,"comment" : "Size: for a list that is a collection","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 5,"comment" : "Size","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsList)"]]},{"rank" : 5,"comment" : "Size","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(IsFinite)"]]},{"rank" : 2,"comment" : "Size: for a list","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "Size: for a collection","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Size)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Size): system setter","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Size): default method, does nothing","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSize"]},{"name" : "Tester(Size)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSize"]},{"name" : "Representative","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "Representative: system getter","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(Representative)"]]},{"rank" : 10018,"comment" : "Representative: for additive-magma-with-zero with known zero","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["Tester(ZeroImmutable)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 10016,"comment" : "Representative: for magma-with-one with known one","location" : {"line" : 877,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["Tester(OneImmutable)","IsMagmaWithOne"]]},{"rank" : 10014,"comment" : "Representative: for additive coset in default repres.","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset","IsAdditiveCosetDefaultRep"]]},{"rank" : 61,"comment" : "Representative","location" : {"line" : 2117,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 53,"comment" : "Representative: for a division ring with known generators","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","Tester(GeneratorsOfDivisionRing)"]]},{"rank" : 48,"comment" : "Representative: for full matrix module","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "Representative: for full row module","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 36,"comment" : "Representative: for full hom space of linear mappings","location" : {"line" : 1914,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 33,"comment" : "Representative: for left operator ring-with-one with known generators","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRingWithOne)"]]},{"rank" : 30,"comment" : "Representative: for left operator ring with known generators","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 30,"comment" : "Representative: for a ring-with-one with generators","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 27,"comment" : "Representative: for a ring with generators","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 20,"comment" : "Representative: for a subsemigroup of Rees 0-matrix semigroup with generators","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 20,"comment" : "Representative: for a subsemigroup of Rees matrix semigroup with generators","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 19,"comment" : "Representative: for right operator additive group with known generators","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfRightOperatorAdditiveGroup)"]]},{"rank" : 19,"comment" : "Representative: for left operator additive group with known generators","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 17,"comment" : "Representative: for a Rees 0-matrix semigroup","location" : {"line" : 492,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 17,"comment" : "Representative: for a Rees matrix semigroup","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 17,"comment" : "Representative: for additive-magma-with-inverses with known generators","location" : {"line" : 522,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 17,"comment" : "Representative: for magma-with-inverses with generators","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 15,"comment" : "Representative: for additive-magma-with-zero with stored parent","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["Tester(ParentAttr)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 15,"comment" : "Representative: for additive-magma-with-zero with known generators","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]},{"rank" : 14,"comment" : "Representative: for magma-with-one with stored parent","location" : {"line" : 887,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["Tester(ParentAttr)","IsMagmaWithOne"]]},{"rank" : 14,"comment" : "Representative: for magma-with-one with generators","location" : {"line" : 865,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 13,"comment" : "Representative: for additive magma with known generators","location" : {"line" : 512,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagma)"]]},{"rank" : 12,"comment" : "Representative: for magma with generators","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)"]]},{"rank" : 6,"comment" : "Representative: External Set","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]},{"rank" : 6,"comment" : "Representative: for a domain with known domain generators","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","Tester(GeneratorsOfDomain)"]]},{"rank" : 6,"comment" : "Representative: for a domain with known elements list","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","Tester(AsList)","IsGeneralizedDomain"]]},{"rank" : 5,"comment" : "Representative: for a collection that is a list","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 2,"comment" : "Representative: for a list","location" : {"line" : 425,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Representative)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Representative): system setter","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Representative): default method, does nothing","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentative"]},{"name" : "Tester(Representative)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentative"]},{"name" : "RepresentativeSmallest","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "RepresentativeSmallest: system getter","location" : {"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(RepresentativeSmallest)"]]},{"rank" : 17,"comment" : "RepresentativeSmallest: for an empty list","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 8,"comment" : "RepresentativeSmallest: for a strictly sorted list","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 5,"comment" : "RepresentativeSmallest","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsSSortedList)"]]},{"rank" : 5,"comment" : "RepresentativeSmallest","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(EnumeratorSorted)"]]},{"rank" : 2,"comment" : "RepresentativeSmallest: for a list","location" : {"line" : 450,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]],"aka" : ["MinimumList"]},{"rank" : 2,"comment" : "RepresentativeSmallest: for a collection","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RepresentativeSmallest)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RepresentativeSmallest): system setter","location" : {"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RepresentativeSmallest): default method, does nothing","location" : {"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentativeSmallest"]},{"name" : "Tester(RepresentativeSmallest)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1575,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentativeSmallest"]},{"name" : "Random","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]],[["IsInt"],["IsInt"]],[["IsRandomSource"],["IsList"]],[["IsRandomSource"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 1636,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},{"line" : 1637,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},{"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 432,"comment" : "Random","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 399,"comment" : "Random: for natural SL","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalSL","Tester(IsNaturalSL)"]]},{"rank" : 397,"comment" : "Random: for natural GL","location" : {"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"]]},{"rank" : 370,"comment" : "Random: handled by nice monomorphism","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 119,"comment" : "Random: for an internal list","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsList","IsInternalRep"]]},{"rank" : 107,"comment" : "Random: for sparse hash tables","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"]]},{"rank" : 107,"comment" : "Random: for dense hash tables","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsDenseHashRep"]]},{"rank" : 72,"comment" : "Random: alternating group: floyd's algorithm","location" : {"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 72,"comment" : "Random: symmetric group: floyd's algorithm","location" : {"line" : 803,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 69,"comment" : "Random: for Rationals","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 68,"comment" : "Random: for a permutation group","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 60,"comment" : "Random: for a finite prime field","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 59,"comment" : "Random: for a finite field with known primitive root","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","Tester(PrimitiveRoot)"]]},{"rank" : 55,"comment" : "Random: Alg","location" : {"line" : 888,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtension"]]},{"rank" : 49,"comment" : "Random: for full ring Z\/nZ","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 48,"comment" : "Random: for full matrix module","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "Random: for full row module","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 46,"comment" : "Random: fp group","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsSubgroupFpGroup"]]},{"rank" : 45,"comment" : "Random: pcgs computable groups","location" : {"line" : 1299,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 44,"comment" : "Random: for a free group","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 39,"comment" : "Random: for `Integers'","location" : {"line" : 1756,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"]]},{"rank" : 36,"comment" : "Random: for full hom space of linear mappings","location" : {"line" : 1888,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 24,"comment" : "Random: for a free monoid","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 23,"comment" : "Random: for a free left module","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 18,"comment" : "Random: for a free semigroup","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 18,"comment" : "Random: zmodnze : for full collection Z\/nZ(m)","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZepsObj)"]]},{"rank" : 16,"comment" : "Random: RightCoset","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 13,"comment" : "Random: for a free magma","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","CategoryCollections(IsNonassocWord)"]]},{"rank" : 12,"comment" : "Random: for an additive coset","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 10,"comment" : "Random: for external orbit: via acting domain","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 9,"comment" : "Random: for a dense small list","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["RandomList"]},{"rank" : 8,"comment" : "Random: double coset","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 5,"comment" : "Random","location" : {"line" : 925,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPadicExtensionNumber)"]]},{"rank" : 5,"comment" : "Random","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPurePadicNumber)"]]},{"rank" : 4,"comment" : "Random: for an infinite list of generators","location" : {"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"]]},{"rank" : 4,"comment" : "Random: for a (finite) collection","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","IsFinite","Tester(IsFinite)"]]},{"rank" : 3,"comment" : "Random: for a dense (small) list","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList"]]},{"rank" : 0,"comment" : "Random:  fallback method to test conditions","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 36,"comment" : "Random: for two integers","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsInt"],["IsInt"]]},{"rank" : 5,"comment" : "Random: for a real random source and a list","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"],["IsList"]]},{"rank" : 5,"comment" : "Random","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsMersenneTwister"],["IsList"]]},{"rank" : 5,"comment" : "Random","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGAPRandomSource"],["IsList"]]},{"rank" : 5,"comment" : "Random","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGlobalRandomSource"],["IsList"]]},{"rank" : 4,"comment" : "Random","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsRandomSource"],["IsList"]]}],"3args" : [{"rank" : 39,"comment" : "Random: for a real random source and two integers","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"],["IsInt"],["IsInt"]]},{"rank" : 39,"comment" : "Random","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsMersenneTwister"],["IsInt"],["IsInt"]]},{"rank" : 38,"comment" : "Random","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsRandomSource"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Random"]},{"name" : "PseudoRandom","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1729,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 111,"comment" : "PseudoRandom: for an internal list","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsInternalRep"]]},{"rank" : 37,"comment" : "PseudoRandom: subgroups fp group: force generators","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 36,"comment" : "PseudoRandom: product replacement","location" : {"line" : 4951,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]],"aka" : ["Group_PseudoRandom"]},{"rank" : 27,"comment" : "PseudoRandom: polynomial ring","location" : {"line" : 610,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"]]},{"rank" : 16,"comment" : "PseudoRandom: RightCoset","location" : {"line" : 442,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 8,"comment" : "PseudoRandom: double coset","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 1,"comment" : "PseudoRandom: for a list or collection (delegate to `Random')","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PseudoRandom"]},{"name" : "PseudoRandomSeed","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "PseudoRandomSeed: system getter","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(PseudoRandomSeed)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PseudoRandomSeed)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PseudoRandomSeed): system mutable setter","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PseudoRandomSeed): default method, does nothing","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPseudoRandomSeed"]},{"name" : "Tester(PseudoRandomSeed)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPseudoRandomSeed"]},{"name" : "Enumerator","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "Enumerator: system getter","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(Enumerator)"]]},{"rank" : 10023,"comment" : "Enumerator: for full ring Z\/nZ","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]],"aka" : ["EnumeratorOfZmodnZ"]},{"rank" : 10003,"comment" : "Enumerator: for a collection with known `AsSSortedList' value","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(AsSSortedList)"]]},{"rank" : 10003,"comment" : "Enumerator: for a collection with known `AsList' value","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(AsList)"]]},{"rank" : 432,"comment" : "Enumerator","location" : {"line" : 1499,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 379,"comment" : "Enumerator: use nice monomorphism","location" : {"line" : 1036,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 71,"comment" : "Enumerator: for trivial magma-with-one","location" : {"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","IsMagmaWithOne"]],"aka" : ["EnumeratorOfTrivialMagmaWithOne"]},{"rank" : 69,"comment" : "Enumerator: for `Rationals'","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 60,"comment" : "Enumerator: for a finite prime field","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]],"aka" : ["EnumeratorOfPrimeField"]},{"rank" : 58,"comment" : "Enumerator: for a permutation group","location" : {"line" : 585,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 47,"comment" : "Enumerator: for enumerator of a free group","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 46,"comment" : "Enumerator: fp gp.","location" : {"line" : 5225,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsSubgroupFpGroup"]]},{"rank" : 45,"comment" : "Enumerator: finite pc computable groups","location" : {"line" : 1877,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 39,"comment" : "Enumerator: for integers","location" : {"line" : 1476,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"]]},{"rank" : 37,"comment" : "Enumerator: generic method for a group","location" : {"line" : 3242,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsAttributeStoringRep","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["GroupEnumeratorByClosure"]},{"rank" : 30,"comment" : "Enumerator: generic method for a ring-with-one with known generators","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]],"aka" : ["EnumeratorOfRing"]},{"rank" : 27,"comment" : "Enumerator: generic method for a two-sided ideal with known generators","location" : {"line" : 1413,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)"]],"aka" : ["EnumeratorOfIdeal"]},{"rank" : 27,"comment" : "Enumerator: generic method for a right ideal with known generators","location" : {"line" : 1413,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)"]]},{"rank" : 27,"comment" : "Enumerator: generic method for a left ideal with known generators","location" : {"line" : 1413,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)"]]},{"rank" : 27,"comment" : "Enumerator: generic method for a two-sided ideal with known generators","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)"]]},{"rank" : 27,"comment" : "Enumerator: generic method for a right ideal with known generators","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)"]]},{"rank" : 27,"comment" : "Enumerator: generic method for a left ideal with known generators","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)"]]},{"rank" : 27,"comment" : "Enumerator: generic method for a ring with known generators","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 26,"comment" : "Enumerator: for a free monoid","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 23,"comment" : "Enumerator: for free left module (delegate to 'EnumeratorByBasis')","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 22,"comment" : "Enumerator: for a full transformation semigroup","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsFullTransformationSemigroup","Tester(IsFullTransformationSemigroup)"]]},{"rank" : 20,"comment" : "Enumerator: for a Rees 0-matrix semigroup","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)","Tester(UnderlyingSemigroup)"]]},{"rank" : 20,"comment" : "Enumerator: for a free semigroup","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 20,"comment" : "Enumerator: for an underlying relation of a general mapping","location" : {"line" : 1492,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"]]},{"rank" : 19,"comment" : "Enumerator: for trivial add. magma-with-zero","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]],"aka" : ["EnumeratorOfTrivialAdditiveMagmaWithZero"]},{"rank" : 18,"comment" : "Enumerator: zmodnze : for full collection Z\/nZ(m)","location" : {"line" : 371,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZepsObj)"]]},{"rank" : 18,"comment" : "Enumerator: for a semigroup ideal","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["Tester(GeneratorsOfMagmaIdeal)","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]},{"rank" : 17,"comment" : "Enumerator: for a Rees matrix semigroup","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 17,"comment" : "Enumerator: generic method for a magma ideal","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsAttributeStoringRep","IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]],"aka" : ["EnumeratorOfMagmaIdeal"]},{"rank" : 16,"comment" : "Enumerator: for a right coset","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "Enumerator: for a left semigroup ideal","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["Tester(GeneratorsOfExtLSet)","IsLeftSemigroupIdeal","Tester(IsLeftSemigroupIdeal)"]]},{"rank" : 16,"comment" : "Enumerator: for a right semigroup ideal","location" : {"line" : 371,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["Tester(GeneratorsOfExtRSet)","IsRightSemigroupIdeal","Tester(IsRightSemigroupIdeal)"]]},{"rank" : 16,"comment" : "Enumerator: for a generic semigroup","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 14,"comment" : "Enumerator: for a free magma","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","CategoryCollections(IsWord)"]]},{"rank" : 14,"comment" : "Enumerator: generic method for an add. magma","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsAttributeStoringRep","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]],"aka" : ["EnumeratorOfAdditiveMagma"]},{"rank" : 13,"comment" : "Enumerator","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsConjugacyClassPermGroupRep"]]},{"rank" : 13,"comment" : "Enumerator: generic method for a magma","location" : {"line" : 1101,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsAttributeStoringRep","IsMagma"]],"aka" : ["EnumeratorOfMagma"]},{"rank" : 12,"comment" : "Enumerator","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/clasperm.gi"},"filters" : [["IsRationalClassPermGroupRep"]]},{"rank" : 12,"comment" : "Enumerator: for an additive coset","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"]]},{"rank" : 11,"comment" : "Enumerator","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "Enumerator: xorb by stabilizer","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsExternalOrbitByStabilizerRep"]]},{"rank" : 11,"comment" : "Enumerator: <xorb by pcgs>","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsExternalOrbit","IsExternalSetByPcgs"]]},{"rank" : 10,"comment" : "Enumerator: for external orbit: compute orbit","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 10,"comment" : "Enumerator: for external subset with home enumerator","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSubset","Tester(HomeEnumerator)"]]},{"rank" : 10,"comment" : "Enumerator: method for a subspaces domain","location" : {"line" : 524,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsSubspacesVectorSpace","IsSubspacesVectorSpaceDefaultRep"]]},{"rank" : 10,"comment" : "Enumerator: for a magma congruence class","location" : {"line" : 952,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsCongruenceClass"]]},{"rank" : 8,"comment" : "Enumerator: for a double coset","location" : {"line" : 354,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 8,"comment" : "Enumerator","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(EnumeratorSorted)","IsGeneralizedDomain"]]},{"rank" : 7,"comment" : "Enumerator: for sparse hash tables","location" : {"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"]]},{"rank" : 7,"comment" : "Enumerator: for dense hash tables","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"]]},{"rank" : 6,"comment" : "Enumerator: external set -> HomeEnumerator","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]},{"rank" : 6,"comment" : "Enumerator: for list dictionaries","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsListDictionary"]]},{"rank" : 6,"comment" : "Enumerator: for equivalence classes","location" : {"line" : 2148,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceClass"]]},{"rank" : 6,"comment" : "Enumerator: for a domain with stored domain generators","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","Tester(GeneratorsOfDomain)"]]},{"rank" : 5,"comment" : "Enumerator: for a collection that is a list","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]],"aka" : ["IMMUTABLE_COPY_OBJ","Immutable"]},{"rank" : 5,"comment" : "Enumerator","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsList)"]]},{"rank" : 2,"comment" : "Enumerator: for a list","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Enumerator)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Enumerator): system setter","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Enumerator): default method, does nothing","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEnumerator"]},{"name" : "Tester(Enumerator)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEnumerator"]},{"name" : "EnumeratorSorted","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "EnumeratorSorted: system getter","location" : {"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(EnumeratorSorted)"]]},{"rank" : 10003,"comment" : "EnumeratorSorted: for a collection with known `AsSSortedList' value","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(AsSSortedList)"]]},{"rank" : 60,"comment" : "EnumeratorSorted: for a finite prime field","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 21,"comment" : "EnumeratorSorted: for a plist","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsPlistRep"]]},{"rank" : 5,"comment" : "EnumeratorSorted: for a domain","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"]]},{"rank" : 5,"comment" : "EnumeratorSorted","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsSSortedList)"]]},{"rank" : 2,"comment" : "EnumeratorSorted: for a list","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EnumeratorSorted)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EnumeratorSorted): system setter","location" : {"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EnumeratorSorted): default method, does nothing","location" : {"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEnumeratorSorted"]},{"name" : "Tester(EnumeratorSorted)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1821,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEnumeratorSorted"]},{"name" : "UnderlyingCollection","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "UnderlyingCollection: system getter","location" : {"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingCollection)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingCollection)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingCollection): system setter","location" : {"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingCollection): default method, does nothing","location" : {"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingCollection"]},{"name" : "Tester(UnderlyingCollection)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingCollection"]},{"name" : "ListOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]],[["IsListOrCollection"],["IsFunction"]],[["IsRowVectorObj"]],[["IsRowVectorObj"],["IsFunction"]],[["IsRowListMatrix"]],[["IsRowListMatrix"],["IsFunction"]]],"locations" : [{"line" : 2081,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},{"line" : 2082,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},{"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "ListOp: for a plist matrix","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "ListOp: for a plist vector","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 5,"comment" : "ListOp: for a collection that is a list","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 2,"comment" : "ListOp: for a list","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "ListOp: for a collection","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]},{"rank" : 1,"comment" : "ListOp","location" : {"line" : 928,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsIterator"]]}],"2args" : [{"rank" : 16,"comment" : "ListOp: for a plist matrix and a function","location" : {"line" : 1037,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsFunction"]]},{"rank" : 12,"comment" : "ListOp: for a plist vector and a function","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsFunction"]]},{"rank" : 4,"comment" : "ListOp: for a dense list, and a function","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 3,"comment" : "ListOp: for a list, and a function","location" : {"line" : 815,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsFunction"]]},{"rank" : 2,"comment" : "ListOp: for a list\/collection, and a function","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ListOp"]},{"name" : "SortedList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2121,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 1,"comment" : "SortedList: for a list or collection","location" : {"line" : 844,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SortedList"]},{"name" : "SSortedList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2168,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "SSortedList: for a plist","location" : {"line" : 867,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsPlistRep"]],"aka" : ["LIST_SORTED_LIST","SSortedListList"]},{"rank" : 9,"comment" : "SSortedList: for a collection that is a small list","location" : {"line" : 867,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection","IsSmallList","Tester(IsSmallList)"]]},{"rank" : 5,"comment" : "SSortedList: for a collection that is a list","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"]]},{"rank" : 2,"comment" : "SSortedList: for a list","location" : {"line" : 687,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "SSortedList: for a collection","location" : {"line" : 862,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "SSortedList: for a list, and a function","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"]]},{"rank" : 3,"comment" : "SSortedList: for a collection, and a function","location" : {"line" : 891,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SSortedList","Set"]},{"name" : "AsList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AsList: system getter","location" : {"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsList)"]]},{"rank" : 432,"comment" : "AsList","location" : {"line" : 1514,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 60,"comment" : "AsList: for a finite prime field","location" : {"line" : 519,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 58,"comment" : "AsList: permgp: AsSSortedList","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 49,"comment" : "AsList: for full ring Z\/nZ","location" : {"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 46,"comment" : "AsList: pc group","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]],"aka" : ["AsSSortedListNonstored"]},{"rank" : 24,"comment" : "AsList: pcgs","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"]]},{"rank" : 23,"comment" : "AsList: for a free left module","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]],"aka" : ["AsListOfFreeLeftModule"]},{"rank" : 11,"comment" : "AsList: for classes of subgroups","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"]]},{"rank" : 11,"comment" : "AsList","location" : {"line" : 651,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "AsList: xorb by stabilizer","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsExternalOrbitByStabilizerRep"]]},{"rank" : 10,"comment" : "AsList: for Pc transversals","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsList","IsRightTransversalPcGroupRep"]]},{"rank" : 10,"comment" : "AsList: external orbit","location" : {"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 8,"comment" : "AsList: double coset","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]},{"rank" : 8,"comment" : "AsList","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsSSortedList)","IsGeneralizedDomain"]]},{"rank" : 7,"comment" : "AsList: for an enumerator that perhaps has its own `AsList' function","location" : {"line" : 508,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]]},{"rank" : 6,"comment" : "AsList: for a domain with stored domain generators","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","Tester(GeneratorsOfDomain)"]]},{"rank" : 6,"comment" : "AsList: for collections that are constant time access lists","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","IsConstantTimeAccessList"]]},{"rank" : 3,"comment" : "AsList: for a constant time access list","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsConstantTimeAccessList"]]},{"rank" : 2,"comment" : "AsList: for a list","location" : {"line" : 591,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "AsList: for a collection","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "Setter(AsList): for an underlying relation and a list of direct product elements","location" : {"line" : 1343,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"],["CategoryCollections(IsDirectProductElement)"]]},{"rank" : 2,"comment" : "Setter(AsList): system setter","location" : {"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsList): default method, does nothing","location" : {"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsList"]},{"name" : "Tester(AsList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsList"]},{"name" : "AsSortedList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AsSortedList: system getter","location" : {"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSortedList)"]]},{"rank" : 1,"comment" : "AsSortedList: for a list or collection","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSortedList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSortedList): system setter","location" : {"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSortedList): default method, does nothing","location" : {"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSortedList"]},{"name" : "Tester(AsSortedList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSortedList"]},{"name" : "AsSSortedList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AsSSortedList: system getter","location" : {"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSSortedList)"]]},{"rank" : 58,"comment" : "AsSSortedList: via stabchain","location" : {"line" : 2040,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "AsSSortedList: pcgs computable groups","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 49,"comment" : "AsSSortedList: for full ring Z\/nZ","location" : {"line" : 866,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 23,"comment" : "AsSSortedList: for a free left module","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 21,"comment" : "AsSSortedList: for a plist","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsPlistRep"]],"aka" : ["AS_LIST_SORTED_LIST","AsSSortedListList"]},{"rank" : 14,"comment" : "AsSSortedList: for a left magma ideal","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsLeftActedOnBySuperset","Tester(GeneratorsOfExtLSet)","IsMagma"]]},{"rank" : 14,"comment" : "AsSSortedList: for a right magma ideal","location" : {"line" : 338,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsRightActedOnBySuperset","Tester(GeneratorsOfExtRSet)","IsMagma"]]},{"rank" : 10,"comment" : "AsSSortedList: external orbit","location" : {"line" : 391,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalOrbit"]]},{"rank" : 7,"comment" : "AsSSortedList: for a Green's class","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]},{"rank" : 6,"comment" : "AsSSortedList: for a collection that is a constant time access list","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","IsConstantTimeAccessList"]]},{"rank" : 2,"comment" : "AsSSortedList: for a list","location" : {"line" : 641,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "AsSSortedList: for a list","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 2,"comment" : "AsSSortedList: for a collection","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSSortedList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],[]]],"locations" : [{"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSSortedList): system setter","location" : {"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSSortedList): default method, does nothing","location" : {"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSSortedList"]},{"name" : "Tester(AsSSortedList)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2320,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSSortedList"]},{"name" : "AsSSortedListNonstored","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2345,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10002,"comment" : "AsSSortedListNonstored: if `AsSSortedList' is known","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection","Tester(AsSSortedList)"]]},{"rank" : 2502,"comment" : "AsSSortedListNonstored: if `AsList' is known:sort","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection","Tester(AsList)"]]},{"rank" : 58,"comment" : "AsSSortedListNonstored: via stabchain","location" : {"line" : 2045,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "AsSSortedListNonstored: pcgs computable groups","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 35,"comment" : "AsSSortedListNonstored: generic method for groups","location" : {"line" : 3242,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SumOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2449,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "SumOp: for a dense list","location" : {"line" : 826,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"]]},{"rank" : 1,"comment" : "SumOp: for a list\/collection","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [{"rank" : 6,"comment" : "SumOp: for a list, and initial value","location" : {"line" : 842,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsAdditiveElement"]]},{"rank" : 5,"comment" : "SumOp: for a dense list, and a function","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 4,"comment" : "SumOp: for a list\/collection, and init. value","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsAdditiveElement"]]},{"rank" : 2,"comment" : "SumOp: for a list\/collection, and a function","location" : {"line" : 1217,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [{"rank" : 7,"comment" : "SumOp: for a list, a function, and initial value","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"],["IsAdditiveElement"]]},{"rank" : 5,"comment" : "SumOp: for a list\/collection, and a function, and an initial value","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"],["IsAdditiveElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SumOp"]},{"name" : "ProductOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 2527,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "ProductOp: for a dense list","location" : {"line" : 900,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"]]},{"rank" : 1,"comment" : "ProductOp: for a list\/collection","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [{"rank" : 6,"comment" : "ProductOp: for a list, and initial value","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsMultiplicativeElement"]]},{"rank" : 5,"comment" : "ProductOp: for a dense list and a function","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 4,"comment" : "ProductOp: for a list\/collection, and initial value","location" : {"line" : 1366,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsMultiplicativeElement"]]},{"rank" : 2,"comment" : "ProductOp: for a list\/collection, and a function","location" : {"line" : 1350,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [{"rank" : 7,"comment" : "ProductOp: for a list, a function, and initial value","location" : {"line" : 953,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"],["IsMultiplicativeElement"]]},{"rank" : 5,"comment" : "ProductOp: for a list\/collection, a function, and an initial value","location" : {"line" : 1382,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"],["IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProductOp"]},{"name" : "FilteredOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2595,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10004,"comment" : "FilteredOp: for an empty list\/collection, and a function","location" : {"line" : 1483,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsFunction"]]},{"rank" : 4,"comment" : "FilteredOp: for a dense list, and a function","location" : {"line" : 1474,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 3,"comment" : "FilteredOp: for a list, and a function","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsFunction"]]},{"rank" : 2,"comment" : "FilteredOp: for a list\/collection, and a function","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FilteredOp"]},{"name" : "NumberOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2666,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "NumberOp: for a dense list","location" : {"line" : 1600,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList"]]},{"rank" : 2,"comment" : "NumberOp: for a list","location" : {"line" : 1597,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"]]},{"rank" : 1,"comment" : "NumberOp: for a list\/collection","location" : {"line" : 1584,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [{"rank" : 4,"comment" : "NumberOp: for a dense list, and a function","location" : {"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 3,"comment" : "NumberOp: for a list, and a function","location" : {"line" : 1554,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsFunction"]]},{"rank" : 2,"comment" : "NumberOp: for a list\/collection, and a function","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NumberOp"]},{"name" : "ForAllOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2712,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10004,"comment" : "ForAllOp: for an empty list\/collection, and a function","location" : {"line" : 1671,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsFunction"]]},{"rank" : 8,"comment" : "ForAllOp: for a dense list, and a function","location" : {"line" : 1665,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList","IsFinite","Tester(IsFinite)"],["IsFunction"]]},{"rank" : 8,"comment" : "ForAllOp: for a list, and a function","location" : {"line" : 1653,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"],["IsFunction"]]},{"rank" : 2,"comment" : "ForAllOp: for a list\/collection, and a function","location" : {"line" : 1639,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ForAllOp"]},{"name" : "ForAnyOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2760,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10004,"comment" : "ForAnyOp: for an empty list\/collection, and a function","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsFunction"]]},{"rank" : 8,"comment" : "ForAnyOp: for a dense list, and a function","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsDenseList","IsFinite","Tester(IsFinite)"],["IsFunction"]]},{"rank" : 8,"comment" : "ForAnyOp: for a list, and a function","location" : {"line" : 1725,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"],["IsFunction"]]},{"rank" : 2,"comment" : "ForAnyOp: for a list\/collection, and a function","location" : {"line" : 1710,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ForAnyOp"]},{"name" : "IsSubset","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsListOrCollection"]]],"locations" : [{"line" : 2971,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10120,"comment" : "IsSubset: permgrp of natsymmetric group","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 10011,"comment" : "IsSubset: test whether domain is parent of the other","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection","IsGeneralizedDomain","Tester(ParentAttr)"]]},{"rank" : 10008,"comment" : "IsSubset: for two collections with known sizes, check sizes","location" : {"line" : 2315,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(Size)"],["IsCollection","Tester(Size)"]]},{"rank" : 10008,"comment" : "IsSubset: for two collections, the first containing the whole family","location" : {"line" : 2276,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","IsWholeFamily","Tester(IsWholeFamily)"],["IsCollection"]]},{"rank" : 10005,"comment" : "IsSubset: for two collections, check for identity","location" : {"line" : 2300,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 740,"comment" : "IsSubset: handled by nice monomorphism: attribute CollColl","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 475,"comment" : "IsSubset: field, 8bit-vector","location" : {"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","Is8BitVectorRep"]]},{"rank" : 472,"comment" : "IsSubset: field, 8bit-vector","location" : {"line" : 1700,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","IsGF2VectorRep"]]},{"rank" : 129,"comment" : "IsSubset: polynomial rings","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"],["IsCollection"]]},{"rank" : 116,"comment" : "IsSubset: for two finite fields in the same family","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 104,"comment" : "IsSubset: for two division rings","location" : {"line" : 562,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]],"aka" : ["DivisionRing_IsSubset"]},{"rank" : 82,"comment" : "IsSubset: for certain cyclotomic semirings","location" : {"line" : 2038,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 80,"comment" : "IsSubset: 2-sided ideal in ring, naive","location" : {"line" : 873,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 76,"comment" : "IsSubset: subgroups of fp group by quot. rep","location" : {"line" : 597,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 75,"comment" : "IsSubset: subgroups of fp group: test generators","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["Tester(GeneratorsOfMagmaWithInverses)","IsSubgroupFpGroup"]]},{"rank" : 74,"comment" : "IsSubset: subgp fp group: via quotient rep","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 74,"comment" : "IsSubset: for two FLMLORs-with-one","location" : {"line" : 1863,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 72,"comment" : "IsSubset: pcgs computable groups","location" : {"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "IsSubset: generic method for two groups","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 68,"comment" : "IsSubset: for two FLMLORs","location" : {"line" : 1845,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 56,"comment" : "IsSubset: for two rings-with-one","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 53,"comment" : "IsSubset: for two rings","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 46,"comment" : "IsSubset: for two free left modules","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 34,"comment" : "IsSubset: for two magmas with inverses","location" : {"line" : 1174,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses"],["IsMagmaWithInverses"]]},{"rank" : 32,"comment" : "IsSubset: for two additive magmas with inverses","location" : {"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 28,"comment" : "IsSubset: for two additive magmas with zero","location" : {"line" : 746,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 28,"comment" : "IsSubset: for two magmas with one","location" : {"line" : 1161,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne"],["IsMagmaWithOne"]]},{"rank" : 24,"comment" : "IsSubset: for two additive magmas","location" : {"line" : 733,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 22,"comment" : "IsSubset: for two magmas","location" : {"line" : 1148,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],["IsMagma"]]},{"rank" : 22,"comment" : "IsSubset: for two collections that are internal lists","location" : {"line" : 2322,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsInternalRep","IsCollection"],["IsList","IsInternalRep","IsCollection"]],"aka" : ["IsSubsetSet"]},{"rank" : 22,"comment" : "IsSubset: for two internal lists","location" : {"line" : 2322,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsInternalRep"],["IsList","IsInternalRep"]]},{"rank" : 19,"comment" : "IsSubset: for collection and empty list","location" : {"line" : 2276,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 19,"comment" : "IsSubset: for empty list and collection","location" : {"line" : 2270,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsCollection"]]},{"rank" : 6,"comment" : "IsSubset: for two collections with known `AsSSortedList'","location" : {"line" : 2340,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection","Tester(AsSSortedList)"],["IsCollection","Tester(AsSSortedList)"]]},{"rank" : 4,"comment" : "IsSubset: for two collections (loop over the elements of the second)","location" : {"line" : 2350,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "IsSubset: for two collections in different families","location" : {"line" : 2262,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSubset"]},{"name" : "Intersection2","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsListOrCollection"]]],"locations" : [{"line" : 3047,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10009,"comment" : "Intersection2: domain and whole family","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection","IsWholeFamily","Tester(IsWholeFamily)"]]},{"rank" : 10009,"comment" : "Intersection2: whole family and domain","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsWholeFamily","Tester(IsWholeFamily)"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 838,"comment" : "Intersection2: for two fields of FFEs","location" : {"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 740,"comment" : "Intersection2: handled by nice monomorphism:group CollColl","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 134,"comment" : "Intersection2: for two cyclotomic fields of cyclotomics","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"],["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 132,"comment" : "Intersection2: for abelian number field and cyclotomic field","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 132,"comment" : "Intersection2: for cyclotomic field and abelian number field","location" : {"line" : 461,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 130,"comment" : "Intersection2: for two abelian number fields","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 124,"comment" : "Intersection2","location" : {"line" : 873,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 124,"comment" : "Intersection2","location" : {"line" : 868,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 124,"comment" : "Intersection2","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 124,"comment" : "Intersection2","location" : {"line" : 858,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 120,"comment" : "Intersection2","location" : {"line" : 894,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 120,"comment" : "Intersection2","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 120,"comment" : "Intersection2","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 120,"comment" : "Intersection2","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "Intersection2: perm groups","location" : {"line" : 3004,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 82,"comment" : "Intersection2: for certain cyclotomic semirings","location" : {"line" : 2051,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsCyclotomic)","IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 76,"comment" : "Intersection2: subgroups of fp group by quotient","location" : {"line" : 1984,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 74,"comment" : "Intersection2: subgroups of fp group","location" : {"line" : 1920,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 74,"comment" : "Intersection2: generic method for two FLMLORs-with-one","location" : {"line" : 1091,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 72,"comment" : "Intersection2: groups with pcgs","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcint.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "Intersection2: for two spaces in a common s.c. algebra","location" : {"line" : 1140,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","CategoryCollections(IsSCAlgebraObj)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","CategoryCollections(IsSCAlgebraObj)"]]},{"rank" : 70,"comment" : "Intersection2: generic method for two groups","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 68,"comment" : "Intersection2: generic method for two FLMLORs","location" : {"line" : 1079,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 60,"comment" : "Intersection2: for two Gaussian row spaces","location" : {"line" : 882,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 50,"comment" : "Intersection2: method for two vector spaces","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 24,"comment" : "Intersection2: for two additive cosets","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"],["IsAdditiveCoset"]]},{"rank" : 10,"comment" : "Intersection2: for two collections in the same family, both lists","location" : {"line" : 2372,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsList","IsCollection"]],"aka" : ["IntersectionSet"]},{"rank" : 7,"comment" : "Intersection2: for two collections in the same family, the first being a list","location" : {"line" : 2434,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsCollection"]]},{"rank" : 7,"comment" : "Intersection2: for two collections in the same family, the second being a list","location" : {"line" : 2414,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsList","IsCollection"]]},{"rank" : 4,"comment" : "Intersection2: for two collections in the same family","location" : {"line" : 2465,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "Intersection2: for two collections in different families","location" : {"line" : 2394,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "Intersection2: for two lists or collections, the first being empty","location" : {"line" : 2382,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection","IsEmpty","Tester(IsEmpty)"],["IsListOrCollection"]]},{"rank" : 4,"comment" : "Intersection2: for two lists or collections, the second being empty","location" : {"line" : 2377,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsListOrCollection"],["IsListOrCollection","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 4,"comment" : "Intersection2: for two lists (not necessarily in the same family)","location" : {"line" : 2372,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Intersection2"]},{"name" : "Union2","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsListOrCollection"]]],"locations" : [{"line" : 3105,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "Union2: for two collections that are lists","location" : {"line" : 2527,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsList","IsCollection"]],"aka" : ["UnionSet"]},{"rank" : 7,"comment" : "Union2: for two collections, the first being a list","location" : {"line" : 2560,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsCollection"]]},{"rank" : 7,"comment" : "Union2: for two collections, the second being a list","location" : {"line" : 2546,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsList","IsCollection"]]},{"rank" : 4,"comment" : "Union2: for two collections","location" : {"line" : 2580,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "Union2: for two lists","location" : {"line" : 2527,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Union2"]},{"name" : "Difference","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsListOrCollection"]]],"locations" : [{"line" : 3140,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "Difference: for collection, and empty list","location" : {"line" : 3098,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 18,"comment" : "Difference: for empty list, and collection","location" : {"line" : 3091,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsListOrCollection"]]},{"rank" : 10,"comment" : "Difference: for two collections that are lists","location" : {"line" : 3116,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsList","IsCollection"]]},{"rank" : 7,"comment" : "Difference: for two collections, the second being a list","location" : {"line" : 3172,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsList","IsCollection"]]},{"rank" : 7,"comment" : "Difference: for two collections, the first being a list","location" : {"line" : 3158,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "Difference: for two collections","location" : {"line" : 3139,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsCollection"],["IsCollection"]]},{"rank" : 4,"comment" : "Difference: for two lists (assume one can produce a sorted result)","location" : {"line" : 3107,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Difference"]},{"name" : "CanEasilyCompareElements","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "CanEasilyCompareElements: system getter","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanEasilyCompareElements)"]]},{"rank" : 17,"comment" : "CanEasilyCompareElements: empty homogeneous list","location" : {"line" : 3776,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "CanEasilyCompareElements: for direct product element","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 4,"comment" : "CanEasilyCompareElements: homogeneous list","location" : {"line" : 3770,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"]]},{"rank" : 1,"comment" : "CanEasilyCompareElements: family: default false","location" : {"line" : 3200,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsFamily"]]},{"rank" : 0,"comment" : "CanEasilyCompareElements: generic: inherit `true' from family","location" : {"line" : 3186,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanEasilyCompareElements)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanEasilyCompareElements): system setter","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 1,"comment" : "Setter(CanEasilyCompareElements): family setter","location" : {"line" : 3211,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsFamily"],[]]},{"rank" : 0,"comment" : "Setter(CanEasilyCompareElements): default method, does nothing","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanEasilyCompareElements"]},{"name" : "Tester(CanEasilyCompareElements)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CanEasilySortElements","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "CanEasilySortElements: system getter","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanEasilySortElements)"]]},{"rank" : 17,"comment" : "CanEasilySortElements: empty homogeneous list","location" : {"line" : 3792,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 4,"comment" : "CanEasilySortElements: homogeneous list","location" : {"line" : 3786,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"]]},{"rank" : 1,"comment" : "CanEasilySortElements: family: default false","location" : {"line" : 3235,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsFamily"]]},{"rank" : 0,"comment" : "CanEasilySortElements: generic: inherit `true' from family","location" : {"line" : 3224,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanEasilySortElements)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanEasilySortElements): system setter","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 1,"comment" : "Setter(CanEasilySortElements): family setter","location" : {"line" : 3246,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsFamily"],[]]},{"rank" : 0,"comment" : "Setter(CanEasilySortElements): default method, does nothing","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanEasilySortElements"]},{"name" : "Tester(CanEasilySortElements)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CanComputeIsSubset","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 3222,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 77,"comment" : "CanComputeIsSubset: whole fp family group","location" : {"line" : 610,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 42,"comment" : "CanComputeIsSubset: if membership test works","location" : {"line" : 4994,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection","IsGeneralizedDomain","CanEasilyTestMembership"],["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 10,"comment" : "CanComputeIsSubset: default for domains: no unless identical","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 0,"comment" : "CanComputeIsSubset: default: no, unless identical","location" : {"line" : 3249,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CanComputeIsSubset"]},{"name" : "Randomizer","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3247,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Randomizer"]},{"name" : "CheapRandomizer","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3248,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CheapRandomizer"]},{"name" : "RandomizerAttr","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "RandomizerAttr: system getter","location" : {"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(RandomizerAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RandomizerAttr)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RandomizerAttr): system setter","location" : {"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RandomizerAttr): default method, does nothing","location" : {"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRandomizerAttr"]},{"name" : "Tester(RandomizerAttr)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3250,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRandomizerAttr"]},{"name" : "CheapRandomizerAttr","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "CheapRandomizerAttr: system getter","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep","Tester(CheapRandomizerAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CheapRandomizerAttr)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CheapRandomizerAttr): system setter","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CheapRandomizerAttr): default method, does nothing","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCheapRandomizerAttr"]},{"name" : "Tester(CheapRandomizerAttr)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCheapRandomizerAttr"]},{"name" : "IsSmallList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsSmallList: system getter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSmallList)"]]},{"rank" : 10,"comment" : "IsSmallList","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsAttributeStoringRep","IsBasis","Tester(UnderlyingLeftModule)"]]},{"rank" : 10,"comment" : "IsSmallList","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsAttributeStoringRep","IsBasis","Tester(BasisVectors)"]]},{"rank" : 2,"comment" : "IsSmallList: for a list","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 0,"comment" : "IsSmallList: for a non-list","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSmallList)","type" : "GAP_Operation","filters" : [[["IsList"],["IsBool"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSmallList): system setter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSmallList): default method, does nothing","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSmallList"]},{"name" : "Tester(IsSmallList)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Length","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsAssociativeElement","IsWord"]],[["IsRowVectorObj"]],[["IsMatrixObj"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "Length: system getter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["Tester(LENGTH)","IsAttributeStoringRep"]]},{"rank" : 134,"comment" : "Length: for a matrix with memory","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"]]},{"rank" : 109,"comment" : "Length: for a straight line program word","location" : {"line" : 2030,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"]]},{"rank" : 108,"comment" : "Length: for a word with memory","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsWord","IsObjWithMemory"]]},{"rank" : 44,"comment" : "Length: for GF2 matrix","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]]},{"rank" : 34,"comment" : "Length: for an ordinary block matrix","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 33,"comment" : "Length: for Lie matrix in default representation","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieMatrix"]]},{"rank" : 31,"comment" : "Length: for class function","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 31,"comment" : "Length: for null map matrix","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 28,"comment" : "Length: For a compressed MatFFE","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsList","Is8BitMatrixRep"]]},{"rank" : 28,"comment" : "Length: for an empty row vector","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 24,"comment" : "Length: pcgs","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"]]},{"rank" : 24,"comment" : "Length: For a compressed VecFFE","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","Is8BitVectorRep"]],"aka" : ["LEN_VEC8BIT"]},{"rank" : 21,"comment" : "Length: for GF2 vector","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"]],"aka" : ["LEN_GF2VEC"]},{"rank" : 20,"comment" : "Length: modulo pcgs","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]},{"rank" : 17,"comment" : "Length: for a direct product element in default representation","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDefaultDirectProductElementRep"]]},{"rank" : 15,"comment" : "Length: for a plist matrix","location" : {"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "Length: for a plist vector","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 10,"comment" : "Length: for a right transversal in cosets representation","location" : {"line" : 1152,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsRightTransversalViaCosetsRep"]]},{"rank" : 10,"comment" : "Length: for a right transversal in cosets representation","location" : {"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsRightTransversalViaCosetsRep"]]},{"rank" : 10,"comment" : "Length: method for a weak pointer object","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"]],"aka" : ["LengthWPObj"]},{"rank" : 9,"comment" : "Length: for an element of an f.p. group (default repres.)","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 9,"comment" : "Length: for right transversal","location" : {"line" : 2539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsRightTransversalRep"]]},{"rank" : 8,"comment" : "Length: for a 32 bits assoc. word","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"]],"aka" : ["32Bits_LengthWord"]},{"rank" : 8,"comment" : "Length: for a 16 bits assoc. word","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"]],"aka" : ["16Bits_LengthWord"]},{"rank" : 8,"comment" : "Length: for an 8 bits assoc. word","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"]],"aka" : ["8Bits_LengthWord"]},{"rank" : 7,"comment" : "Length","location" : {"line" : 593,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"]]},{"rank" : 7,"comment" : "Length: for a basis","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]},{"rank" : 7,"comment" : "Length: for an enumerator that perhaps has its own `Length' function","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]]},{"rank" : 6,"comment" : "Length: assoc word in letter rep","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 6,"comment" : "Length: for an assoc. word in syllable rep","location" : {"line" : 1470,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]]},{"rank" : 5,"comment" : "Length: enum-by-niceomorphism","location" : {"line" : 1044,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsList","IsEnumeratorByNiceomorphismRep"]]},{"rank" : 5,"comment" : "Length: enum-by-pcgs","location" : {"line" : 1291,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList","IsEnumeratorByPcgsRep"]]},{"rank" : 5,"comment" : "Length: for a nonassoc. word","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord"]]},{"rank" : 4,"comment" : "Length: for an infinite list of generators","location" : {"line" : 1224,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"]]},{"rank" : 4,"comment" : "Length: for an infinite list of names","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfNamesRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LENGTH)","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsAssociativeElement","IsWord"],[]],[["IsRowVectorObj"],[]],[["IsMatrixObj"],[]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LENGTH): system setter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LENGTH): default method, does nothing","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLength"]},{"name" : "Tester(LENGTH)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLength"]},{"name" : "IsBound[]","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsRowListMatrix"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 711,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "IsBound[]: for Lie matrix in default representation, and integer","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieMatrix"],["IsInt","IsPosRat"]]},{"rank" : 50,"comment" : "IsBound[]: for class function and positive integer","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]]},{"rank" : 47,"comment" : "IsBound[]: for an empty row vector, and a positive integer","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "IsBound[]: pcgs","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsInt","IsPosRat"]]},{"rank" : 39,"comment" : "IsBound[]","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "IsBound[]: for a plist matrix, and a position","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "IsBound[]: method for a weak pointer object","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"],["IsInt","IsPosRat"]],"aka" : ["IsBoundElmWPObj"]},{"rank" : 26,"comment" : "IsBound[]: for an enumerator that perhaps has its own `IsBound' function","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"],["IsInt","IsPosRat"]]},{"rank" : 22,"comment" : "IsBound[]: for a dense list and positive integer","location" : {"line" : 2788,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ISB_LIST","IsBound[]"]},{"name" : "[]","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsRowVectorObj"],["IsInt","IsPosRat"]],[["IsMatrixObj"],["IsInt","IsPosRat"]],[["IsReesMatrixSemigroupElement"],["IsInt","IsPosRat"]],[["IsReesZeroMatrixSemigroupElement"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 153,"comment" : "[]: for a matrix with memory","location" : {"line" : 380,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"],["IsInt","IsPosRat"]]},{"rank" : 63,"comment" : "[]: for GF2 matrix","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 53,"comment" : "[]: for an ordinary block matrix and a positive integer","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 52,"comment" : "[]: for Lie matrix in default representation, and positive integer","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieMatrix"],["IsInt","IsPosRat"]]},{"rank" : 50,"comment" : "[]: for class function and positive integer","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]]},{"rank" : 47,"comment" : "[]: For a compressed MatFFE","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsList","Is8BitMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 43,"comment" : "[]: pcgs, pos int","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"],["IsInt","IsPosRat"]]},{"rank" : 43,"comment" : "[]: For a compressed VecFFE","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","Is8BitVectorRep"],["IsInt","IsPosRat"]],"aka" : ["ELM_VEC8BIT"]},{"rank" : 40,"comment" : "[]: for GF2 vector","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsInt","IsPosRat"]],"aka" : ["ELM_GF2VEC"]},{"rank" : 39,"comment" : "[]: modulo pcgs","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsInt","IsPosRat"]]},{"rank" : 36,"comment" : "[]: for a direct product element in default repres., and a pos. integer","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDefaultDirectProductElementRep"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "[]: for a plist matrix and a positive integer","location" : {"line" : 850,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 30,"comment" : "[]: for classes of subgroups","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"],["IsInt","IsPosRat"]],"aka" : ["ClassElementLattice"]},{"rank" : 30,"comment" : "[]: for a plist vector and a positive integer","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: right transversal fp group","location" : {"line" : 5199,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsList","IsRightTransversalFpGroupRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: for Pc transversals","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsList","IsRightTransversalPcGroupRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: for right transversal of perm. group, and pos. integer","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["IsList","IsRightTransversalPermGroupRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: factored transversal","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsFactoredTransversalRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: rt via coset","location" : {"line" : 1100,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsRightTransversalViaCosetsRep"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "[]: method for a weak pointer object","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsWeakPointerObject"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "[]","location" : {"line" : 597,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "[]: for a basis and a positive integer","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "[]: for enumerator by functions","location" : {"line" : 439,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"],["IsInt","IsPosRat"]]},{"rank" : 24,"comment" : "[]: for a Rees 0-matrix semigroup element","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"],["IsInt","IsPosRat"]]},{"rank" : 24,"comment" : "[]: for a Rees matrix semigroup element","location" : {"line" : 849,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"],["IsInt","IsPosRat"]]},{"rank" : 24,"comment" : "[]: enum-by-niceo","location" : {"line" : 1057,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsList","IsEnumeratorByNiceomorphismRep"],["IsInt","IsPosRat"]]},{"rank" : 24,"comment" : "[]: enum-by-pcgs","location" : {"line" : 1316,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList","IsEnumeratorByPcgsRep"],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "[]: for an infinite list of generators","location" : {"line" : 1242,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "[]: for an infinite list of names","location" : {"line" : 1110,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfNamesRep"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ELM_LIST","[]"]},{"name" : "{}","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]],[["IsRowVectorObj"],["IsList"]],[["IsRowListMatrix"],["IsList"]],[["IsFlatMatrix"],["IsList"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "{}: For an 8 bit vector and a range","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","Is8BitVectorRep"],["IsRange","IsInternalRep"]],"aka" : ["ELMS_VEC8BIT_RANGE"]},{"rank" : 45,"comment" : "{}: For an 8 bit vector and a plain list","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","Is8BitVectorRep"],["IsDenseList","IsPlistRep"]],"aka" : ["ELMS_VEC8BIT"]},{"rank" : 40,"comment" : "{}: for GF2 vector","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsList","IsDenseList","IsInternalRep"]],"aka" : ["ELMS_GF2VEC"]},{"rank" : 24,"comment" : "{}: pcgs, range","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsDenseList"]]},{"rank" : 18,"comment" : "{}: for a small list and a small dense list","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],["IsDenseList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["ELMS_LIST_DEFAULT"]},{"rank" : 17,"comment" : "{}: for a plist matrix and a list","location" : {"line" : 885,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsList"]]},{"rank" : 13,"comment" : "{}: for a plist vector and a list","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsList"]]},{"rank" : 9,"comment" : "{}","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsList"]]},{"rank" : 5,"comment" : "{}: for a list and a dense list","location" : {"line" : 1006,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsDenseList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ELMS_LIST","{}"]},{"name" : "Elm0List","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 47,"comment" : "Elm0List: For an 8 bit matrix","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsList","Is8BitMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 43,"comment" : "Elm0List: For an 8 bit vector","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","Is8BitVectorRep"],["IsInt","IsPosRat"]],"aka" : ["ELM0_VEC8BIT"]},{"rank" : 40,"comment" : "Elm0List: for GF2 vector","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsInt","IsPosRat"]],"aka" : ["ELM0_GF2VEC"]},{"rank" : 20,"comment" : "Elm0List","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ELM0_LIST","Elm0List"]},{"name" : "Unbind[]","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[]],[["IsRowListMatrix"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 48,"comment" : "Unbind[]: For a compressed MatFFE","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsList","Is8BitMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "Unbind[]: for GF2 matrix","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsList","IsGF2MatrixRep"],["IsInt","IsPosRat"]],"aka" : ["UNB_GF2MAT"]},{"rank" : 44,"comment" : "Unbind[]: For a compressed VecFFE","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsList","Is8BitVectorRep"],["IsInt","IsPosRat"]],"aka" : ["UNB_VEC8BIT"]},{"rank" : 44,"comment" : "Unbind[]: for GF2 matrix","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2MatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "Unbind[]: for GF2 vector","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsInt","IsPosRat"]],"aka" : ["UNB_GF2VEC"]},{"rank" : 35,"comment" : "Unbind[]: for a plist matrix, and a position","location" : {"line" : 959,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 31,"comment" : "Unbind[]: method for a weak pointer object","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsMutable","IsWeakPointerObject"],["IsInt","IsPosRat"]],"aka" : ["UnbindElmWPObj"]},{"rank" : 28,"comment" : "Unbind[]","location" : {"line" : 620,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsMutable","IsUnicodeString"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UNB_LIST","Unbind[]"]},{"name" : "[]:=","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[],[]],[["IsRowVectorObj"],["IsInt","IsPosRat"],[]],[["IsRowListMatrix"],["IsInt","IsPosRat"],[]],[["IsFlatMatrix"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 697,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 48,"comment" : "[]:=","location" : {"line" : 608,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsMutable","IsUnicodeString"],["IsInt","IsPosRat"],["IsUnicodeCharacter"]]},{"rank" : 48,"comment" : "[]:=: For a compressed MatFE","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsList","Is8BitMatrixRep"],["IsInt","IsPosRat"],[]],"aka" : ["ASS_MAT8BIT"]},{"rank" : 47,"comment" : "[]:=: for a checking plist matrix, a positive integer, and a plist vector","location" : {"line" : 877,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsInt","IsPosRat"],["IsPlistVectorRep"]]},{"rank" : 46,"comment" : "[]:=: for a plist matrix, a positive integer, and a plist vector","location" : {"line" : 857,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsInt","IsPosRat"],["IsPlistVectorRep"]]},{"rank" : 45,"comment" : "[]:=: for GF2 matrix","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsList","IsGF2MatrixRep"],["IsInt","IsPosRat"],[]],"aka" : ["ASS_GF2MAT"]},{"rank" : 44,"comment" : "[]:=: For a compressed VecFFE","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsList","Is8BitVectorRep"],["IsInt","IsPosRat"],[]],"aka" : ["ASS_VEC8BIT"]},{"rank" : 44,"comment" : "[]:=: for GF2 matrix","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2MatrixRep"],["IsInt","IsPosRat"],[]]},{"rank" : 42,"comment" : "[]:=: for plain list and external objects","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"filters" : [["IsMutable","IsList","IsPlistRep"],["IsInt","IsPosRat"],[]],"aka" : ["ASS_PLIST_DEFAULT"]},{"rank" : 40,"comment" : "[]:=: for GF2 vector","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsInt","IsPosRat"],[]],"aka" : ["ASS_GF2VEC"]},{"rank" : 31,"comment" : "[]:=: for a checking plist vector, a positive integer, and an obj","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsInt","IsPosRat"],[]]},{"rank" : 31,"comment" : "[]:=: method for a weak pointer object","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/wpobj.gi"},"filters" : [["IsMutable","IsWeakPointerObject"],["IsInt","IsPosRat"],[]],"aka" : ["SetElmWPObj"]},{"rank" : 30,"comment" : "[]:=: for a plist vector, a positive integer, and an obj","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsInt","IsPosRat"],[]]},{"rank" : -79,"comment" : "[]:=: error message for immutable list","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ASS_LIST","[]:="]},{"name" : "{}:=","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"],["IsList"]],[["IsRowListMatrix"],["IsList"],["IsRowListMatrix"]]],"locations" : [{"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 34,"comment" : "{}:=: for a checking plist matrix, a list, and a plist matrix","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsList"],["IsPlistMatrixRep"]]},{"rank" : 33,"comment" : "{}:=: for a plist matrix, a list, and a plist matrix","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsList"],["IsPlistMatrixRep"]]},{"rank" : 29,"comment" : "{}:=: for a small mutable list, a small dense list, and a small list","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSmallList","Tester(IsSmallList)"],["IsDenseList","IsSmallList","Tester(IsSmallList)"],["IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["ASSS_LIST_DEFAULT"]},{"rank" : 9,"comment" : "{}:=: for a mutable list, a dense list, and a list","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsDenseList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ASSS_LIST","{}:="]},{"name" : "ConstantTimeAccessList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "ConstantTimeAccessList: system getter","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConstantTimeAccessList)"]]},{"rank" : 10003,"comment" : "ConstantTimeAccessList: for a constant time access list","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsConstantTimeAccessList"]]},{"rank" : 9,"comment" : "ConstantTimeAccessList: for a strictly sorted dense list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList","IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 8,"comment" : "ConstantTimeAccessList: for a strictly sorted list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 3,"comment" : "ConstantTimeAccessList: for a dense list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDenseList"]]},{"rank" : 2,"comment" : "ConstantTimeAccessList: for a list","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConstantTimeAccessList)","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConstantTimeAccessList): system setter","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConstantTimeAccessList): default method, does nothing","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConstantTimeAccessList"]},{"name" : "Tester(ConstantTimeAccessList)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConstantTimeAccessList"]},{"name" : "AsPlist","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "AsPlist: for a plist","location" : {"line" : 606,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsPlistRep"]]},{"rank" : 2,"comment" : "AsPlist: for a list","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsPlist"]},{"name" : "IsSortedList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsSortedList: system getter","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSortedList)"]]},{"rank" : 7,"comment" : "IsSortedList: for a finite list","location" : {"line" : 1111,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 2,"comment" : "IsSortedList: for a list (not nec. finite)","location" : {"line" : 1129,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]},{"rank" : 0,"comment" : "IsSortedList: for non-lists","location" : {"line" : 1145,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSortedList)","type" : "GAP_Operation","filters" : [[["IsList"],["IsBool"]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSortedList): system setter","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSortedList): default method, does nothing","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSortedList"]},{"name" : "Tester(IsSortedList)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSSortedList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsSSortedList: system getter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["Tester(IS_SSORT_LIST)","IsAttributeStoringRep"]]},{"rank" : 9,"comment" : "IsSSortedList: for a small homogeneous list","location" : {"line" : 1067,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["IS_SSORT_LIST_DEFAULT"]},{"rank" : 4,"comment" : "IsSSortedList: for a homogeneous list (not nec. finite)","location" : {"line" : 1085,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"]]},{"rank" : 0,"comment" : "IsSSortedList: for non-lists","location" : {"line" : 1057,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IS_SSORT_LIST)","type" : "GAP_Operation","filters" : [[["IsList"],["IsBool"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "Setter(IS_SSORT_LIST): method for an internal list and a Boolean","location" : {"line" : 3694,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsInternalRep"],["IsBool"]]},{"rank" : 2,"comment" : "Setter(IS_SSORT_LIST): system setter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IS_SSORT_LIST): default method, does nothing","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSSortedList"]},{"name" : "Tester(IS_SSORT_LIST)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNSortedList","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsNSortedList: system getter","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["Tester(IS_NSORT_LIST)","IsAttributeStoringRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IS_NSORT_LIST)","type" : "GAP_Operation","filters" : [[["IsDenseList"],["IsBool"]]],"locations" : [{"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IS_NSORT_LIST): system setter","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IS_NSORT_LIST): default method, does nothing","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNSortedList"]},{"name" : "Tester(IS_NSORT_LIST)","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsDuplicateFree","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsDuplicateFree: system getter","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsDuplicateFree)"]]},{"rank" : 2,"comment" : "IsDuplicateFree: for a finite list","location" : {"line" : 1168,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsDuplicateFree)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsBool"]]],"locations" : [{"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsDuplicateFree): system setter","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsDuplicateFree): default method, does nothing","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsDuplicateFree"]},{"name" : "Tester(IsDuplicateFree)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPositionsList","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsPositionsList: system getter","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["Tester(IS_POSS_LIST)","IsAttributeStoringRep"]]},{"rank" : 9,"comment" : "IsPositionsList: for a small homogeneous list","location" : {"line" : 1199,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["IS_POSS_LIST_DEFAULT"]},{"rank" : 4,"comment" : "IsPositionsList: for a homogeneous list","location" : {"line" : 1210,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"]]},{"rank" : 0,"comment" : "IsPositionsList: for non-lists","location" : {"line" : 1226,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IS_POSS_LIST)","type" : "GAP_Operation","filters" : [[["IsDenseList"],["IsBool"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IS_POSS_LIST): system setter","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IS_POSS_LIST): default method, does nothing","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPositionsList"]},{"name" : "Tester(IS_POSS_LIST)","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Position","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsList"],[],["IsInt"]],[["IsMatrixObj"],["IsRowVectorObj"]],[["IsMatrixObj"],["IsRowVectorObj"],["IsInt"]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "Position","location" : {"line" : 646,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsUnicodeCharacter"]]},{"rank" : 26,"comment" : "Position: for a plist matrix, and a plist vector","location" : {"line" : 1110,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistVectorRep"]]}],"3args" : [{"rank" : 65,"comment" : "Position: for class function, cyclotomic, and nonnegative integer","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsCyc"],["IsInt"]]},{"rank" : 63,"comment" : "Position: for Lie matrix in default representation, row vector, and integer","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieMatrix"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsInt"]]},{"rank" : 45,"comment" : "Position","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsUnicodeCharacter"],["IsInt"]]},{"rank" : 44,"comment" : "Position: for a plist matrix, and a plist vector","location" : {"line" : 1125,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistVectorRep"],["IsInt"]]},{"rank" : 42,"comment" : "Position: pcgs, object, int","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsDefaultRep"],[],["IsInt"]]},{"rank" : 38,"comment" : "Position: modulo pcgs","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[],["IsInt"]]},{"rank" : 37,"comment" : "Position: for enumerator by functions","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"],[],["IsZeroCyc"]]},{"rank" : 36,"comment" : "Position: right transversal fp gp.","location" : {"line" : 5214,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsList","IsRightTransversalFpGroupRep"],["IsMultiplicativeElementWithInverse"],["IsZeroCyc"]]},{"rank" : 33,"comment" : "Position: for a small sorted list, an object, and an integer","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)","IsSmallList","Tester(IsSmallList)"],[],["IsInt"]]},{"rank" : 32,"comment" : "Position: right transversal: Use PositionCanonical","location" : {"line" : 2553,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsRightTransversalRep"],["IsMultiplicativeElementWithInverse"],["IsInt"]]},{"rank" : 31,"comment" : "Position: enum-by-niceo","location" : {"line" : 1071,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsList","IsEnumeratorByNiceomorphismRep"],["IsMultiplicativeElementWithInverse"],["IsZeroCyc"]]},{"rank" : 31,"comment" : "Position: enum-by-pcgs","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList","IsEnumeratorByPcgsRep"],["IsMultiplicativeElementWithInverse"],["IsZeroCyc"]]},{"rank" : 27,"comment" : "Position: for a small list, an object, and an integer","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],[],["IsInt"]],"aka" : ["POS_LIST_DEFAULT"]},{"rank" : 26,"comment" : "Position: for a sorted list, an object, and an integer","location" : {"line" : 1302,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"],[],["IsInt"]]},{"rank" : 25,"comment" : "Position: for an infinite list of generators, an object, and zero","location" : {"line" : 1271,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfGeneratorsRep"],[],["IsZeroCyc"]]},{"rank" : 25,"comment" : "Position: for an infinite list of names, an object, and zero","location" : {"line" : 1153,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsList","IsInfiniteListOfNamesRep"],[],["IsZeroCyc"]]},{"rank" : 25,"comment" : "Position: for a basis, an object, and a nonnegative integer","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"],[],["IsInt"]]},{"rank" : 23,"comment" : "Position: for duplicate free list, object, and positive integer","location" : {"line" : 1327,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsDuplicateFree","Tester(IsDuplicateFree)"],[],["IsInt","IsPosRat"]]},{"rank" : 22,"comment" : "Position: for a homog. list, an object not in the elements family, and an int.","location" : {"line" : 1258,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"],[],["IsInt"]],"aka" : ["LOCKS_FUNC","RETURN_FAIL","ReturnFail"]},{"rank" : 20,"comment" : "Position: for a (small) list, an object, and an integer","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["POS_LIST","Position"]},{"name" : "PositionsOp","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "PositionsOp","location" : {"line" : 1366,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionsOp"]},{"name" : "PositionCanonical","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "PositionCanonical: for 8bit matrices lists, fall back on `Position'","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsList","Is8BitMatrixRep"],[]]},{"rank" : 25,"comment" : "PositionCanonical: for internally represented lists, fall back on `Position'","location" : {"line" : 1612,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsGF2MatrixRep"],[]]},{"rank" : 25,"comment" : "PositionCanonical: internal small sorted lists, use `POSITION_SORTED_LIST'","location" : {"line" : 1390,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSSortedList","Tester(IS_SSORT_LIST)","IsInternalRep","IsSmallList","Tester(IsSmallList)"],[]]},{"rank" : 19,"comment" : "PositionCanonical: for internally represented lists, fall back on `Position'","location" : {"line" : 1377,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsInternalRep"],[]]},{"rank" : 18,"comment" : "PositionCanonical: for right transversal of perm. group, and permutation","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["IsList","IsRightTransversalPermGroupRep"],["IsPerm"]]},{"rank" : 15,"comment" : "PositionCanonical: right transversal fp gp.","location" : {"line" : 5222,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsList","IsRightTransversalFpGroupRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 15,"comment" : "PositionCanonical: RT","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsList","IsRightTransversalPcGroupRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 15,"comment" : "PositionCanonical: factored transversal","location" : {"line" : 1219,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsFactoredTransversalRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 15,"comment" : "PositionCanonical: rt via coset","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsList","IsRightTransversalViaCosetsRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 10,"comment" : "PositionCanonical: enum-by-niceo","location" : {"line" : 1087,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsList","IsEnumeratorByNiceomorphismRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 10,"comment" : "PositionCanonical: enum-by-pcgs","location" : {"line" : 1374,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList","IsEnumeratorByPcgsRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 7,"comment" : "PositionCanonical: for enumerator by functions","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/coll.gi"},"filters" : [["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionCanonical"]},{"name" : "PositionNthOccurrence","type" : "GAP_Operation","filters" : [[["IsList"],[],["IsInt"]]],"locations" : [{"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 24,"comment" : "PositionNthOccurrence: for boolean list, boolean, integer","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsBlist"],["IsBool"],["IsInt"]]},{"rank" : 20,"comment" : "PositionNthOccurrence: for list, object, integer","location" : {"line" : 1411,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionNthOccurrence"]},{"name" : "PositionSortedOp","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsList"],[],["IsFunction"]],[["IsMatrixObj"],["IsRowVectorObj"]],[["IsMatrixObj"],["IsRowVectorObj"],["IsFunction"]]],"locations" : [{"line" : 797,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "PositionSortedOp: for a plist matrix, and a plist vector","location" : {"line" : 1131,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistVectorRep"]]},{"rank" : 9,"comment" : "PositionSortedOp: for small list, and object","location" : {"line" : 1448,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],[]],"aka" : ["POSITION_SORTED_LIST"]},{"rank" : 2,"comment" : "PositionSortedOp","location" : {"line" : 1458,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[]]}],"3args" : [{"rank" : 27,"comment" : "PositionSortedOp: for a plist matrix, and a plist vector","location" : {"line" : 1137,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistVectorRep"],["IsFunction"]]},{"rank" : 10,"comment" : "PositionSortedOp: for small list, object, and function","location" : {"line" : 1463,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","IsSmallList","Tester(IsSmallList)"],[],["IsFunction"]],"aka" : ["POSITION_SORTED_LIST_COMP"]},{"rank" : 3,"comment" : "PositionSortedOp: for list, object, and function","location" : {"line" : 1474,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionSortedOp"]},{"name" : "PositionProperty","type" : "GAP_Operation","filters" : [[["IsList"],["IsFunction"]],[["IsList"],["IsFunction"],["IsInt"]]],"locations" : [{"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 870,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "PositionProperty: for dense list and function","location" : {"line" : 1554,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsFunction"]]},{"rank" : 3,"comment" : "PositionProperty: for list and function","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"]]}],"3args" : [{"rank" : 22,"comment" : "PositionProperty: for dense list, function, and integer","location" : {"line" : 1571,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsFunction"],["IsInt"]]},{"rank" : 21,"comment" : "PositionProperty: for list, function, and integer","location" : {"line" : 1541,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionProperty"]},{"name" : "PositionsProperty","type" : "GAP_Operation","filters" : [[["IsDenseList"],["IsFunction"]]],"locations" : [{"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "PositionsProperty: for dense list and function","location" : {"line" : 1592,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionsProperty"]},{"name" : "PositionBound","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 925,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "PositionBound: for a list","location" : {"line" : 1610,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionBound"]},{"name" : "PositionSublist","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"],["IsInt"]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 14,"comment" : "PositionSublist","location" : {"line" : 655,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsUnicodeString"]]},{"rank" : 4,"comment" : "PositionSublist: for two args in IsStringRep","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsStringRep"],["IsStringRep"]]},{"rank" : 0,"comment" : "PositionSublist: list, sub","location" : {"line" : 1691,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],[]]}],"3args" : [{"rank" : 32,"comment" : "PositionSublist","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsUnicodeString"],["IsInt"]]},{"rank" : 23,"comment" : "PositionSublist: list,empty,pos","location" : {"line" : 1703,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsEmpty","Tester(IsEmpty)"],["IsInt"]]},{"rank" : 23,"comment" : "PositionSublist: empty list,sub,pos","location" : {"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsList"],["IsInt"]]},{"rank" : 22,"comment" : "PositionSublist: for two args in IsStringRep and offset","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsStringRep"],["IsStringRep"],["IsInt"]]},{"rank" : 22,"comment" : "PositionSublist: list,sub,pos","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionSublist"]},{"name" : "IsMatchingSublist","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"],["IsInt"]]],"locations" : [{"line" : 977,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 0,"comment" : "IsMatchingSublist: list, sub","location" : {"line" : 1727,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],[]]}],"3args" : [{"rank" : 23,"comment" : "IsMatchingSublist: list,empty,pos","location" : {"line" : 1739,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsEmpty","Tester(IsEmpty)"],["IsInt"]]},{"rank" : 23,"comment" : "IsMatchingSublist: empty list,sub,pos","location" : {"line" : 1734,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsList"],["IsInt"]]},{"rank" : 22,"comment" : "IsMatchingSublist: list,sub,pos","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsMatchingSublist"]},{"name" : "Add","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[]],[["IsMutable","IsList"],[],["IsInt"]],[["IsRowListMatrix"],["IsRowVectorObj"]],[["IsRowListMatrix"],["IsRowVectorObj"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1027,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 706,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "Add: for a checking plist matrix and a plist vector","location" : {"line" : 906,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsPlistVectorRep"]]},{"rank" : 27,"comment" : "Add: for a plist matrix and a plist vector","location" : {"line" : 891,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsPlistVectorRep"]]},{"rank" : 4,"comment" : "Add: for mutable list and list","location" : {"line" : 1749,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],[]],"aka" : ["ADD_LIST_DEFAULT"]}],"3args" : [{"rank" : 48,"comment" : "Add: three arguments fast version sorted","location" : {"line" : 1776,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsSSortedList","Tester(IS_SSORT_LIST)","IsPlistRep"],[],["IsInt","IsPosRat"]]},{"rank" : 47,"comment" : "Add: for a checking plist matrix, a plist vector, and a pos","location" : {"line" : 931,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsPlistVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 46,"comment" : "Add: for a plist matrix, a plist vector, and a pos. int","location" : {"line" : 912,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsPlistVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 42,"comment" : "Add: three arguments fast version","location" : {"line" : 1761,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsPlistRep"],[],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "Add: three arguments general version","location" : {"line" : 1788,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],[],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ADD_LIST","Add"]},{"name" : "Remove","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]],[["IsMutable","IsList"],["IsInt"]],[["IsRowListMatrix"]],[["IsRowListMatrix"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1072,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1073,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 16,"comment" : "Remove: for a plist matrix","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"]]},{"rank" : 4,"comment" : "Remove: one argument","location" : {"line" : 1806,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"]]}],"2args" : [{"rank" : 42,"comment" : "Remove: two arguments, fast","location" : {"line" : 1823,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsPlistRep"],["IsInt","IsPosRat"]]},{"rank" : 35,"comment" : "Remove: for a plist matrix, and a position","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "Remove: two arguments, general","location" : {"line" : 1840,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["REM_LIST","Remove","RemoveElmList"]},{"name" : "Append","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"]],[["IsRowListMatrix"],["IsRowListMatrix"]]],"locations" : [{"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "Append: for 8bitm vectors","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsList","Is8BitVectorRep"],["IsList","Is8BitVectorRep"]],"aka" : ["APPEND_VEC8BIT"]},{"rank" : 43,"comment" : "Append: for GF2 vectors","location" : {"line" : 1600,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsList","IsGF2VectorRep"],["IsList","IsGF2VectorRep"]],"aka" : ["APPEND_GF2VEC"]},{"rank" : 32,"comment" : "Append: for a checking plist matrix, and a plist matrix","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsPlistMatrixRep"]]},{"rank" : 32,"comment" : "Append: for mutable list in plist representation, and small list","location" : {"line" : 1875,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsPlistRep"],["IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["APPEND_LIST_INTR"]},{"rank" : 31,"comment" : "Append: for two plist matrices","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 16,"comment" : "Append","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsMutable","IsUnicodeString"],["IsUnicodeString"]]},{"rank" : 6,"comment" : "Append: for mutable list and list","location" : {"line" : 1869,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsList"]],"aka" : ["APPEND_LIST_DEFAULT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["APPEND_LIST","Append"]},{"name" : "Compacted","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1211,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "Compacted: for a list","location" : {"line" : 1931,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Compacted"]},{"name" : "Collected","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1245,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "Collected: for a list","location" : {"line" : 1970,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Collected"]},{"name" : "DuplicateFreeList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "DuplicateFreeList: for a list","location" : {"line" : 1989,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DuplicateFreeList","Unique"]},{"name" : "AsDuplicateFreeList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsDuplicateFreeList: system getter","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsDuplicateFreeList)"]]},{"rank" : 2,"comment" : "AsDuplicateFreeList: for a list","location" : {"line" : 1999,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsDuplicateFreeList)","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsDuplicateFreeList): system setter","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsDuplicateFreeList): default method, does nothing","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsDuplicateFreeList"]},{"name" : "Tester(AsDuplicateFreeList)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsDuplicateFreeList"]},{"name" : "DifferenceLists","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 1322,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "DifferenceLists: homogeneous lists","location" : {"line" : 1189,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DifferenceLists"]},{"name" : "Flat","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1362,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "Flat: for a list","location" : {"line" : 2021,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Flat"]},{"name" : "ReversedOp","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 1412,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "ReversedOp: for a range","location" : {"line" : 2076,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"]]},{"rank" : 6,"comment" : "ReversedOp: for an assoc. word in letter rep","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 6,"comment" : "ReversedOp: for an assoc. word in syllable rep","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]]},{"rank" : 3,"comment" : "ReversedOp: for a dense list","location" : {"line" : 2061,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReversedOp"]},{"name" : "Shuffle","type" : "GAP_Operation","filters" : [[["IsMutable","IsDenseList"]]],"locations" : [{"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "Shuffle","location" : {"line" : 2093,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Shuffle"]},{"name" : "Sort","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]],[["IsMutable","IsList"],["IsFunction"]]],"locations" : [{"line" : 1530,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1531,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10006,"comment" : "Sort: for a mutable set","location" : {"line" : 2134,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSortedList","Tester(IsSortedList)"]],"aka" : ["DeclareAutoPackage","DeclarePackage","DeclarePackageAutoDocumentation","DeclarePackageDocumentation","INFO_OWA","Ignore","InfoRead1","InfoRead2"]},{"rank" : 11,"comment" : "Sort: for a mutable small list","location" : {"line" : 2102,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["SORT_LIST"]},{"rank" : 4,"comment" : "Sort: for a mutable list","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 2,"comment" : "Sort: for an immutable list","location" : {"line" : 2220,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]],"aka" : ["SORT_MUTABILITY_ERROR_HANDLER"]}],"2args" : [{"rank" : 12,"comment" : "Sort: for a mutable small list and a function","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSmallList","Tester(IsSmallList)"],["IsFunction"]],"aka" : ["SORT_LIST_COMP"]},{"rank" : 5,"comment" : "Sort: for a mutable list and a function","location" : {"line" : 2160,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsFunction"]]},{"rank" : 3,"comment" : "Sort: for an immutable list and a function","location" : {"line" : 2220,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Sort"]},{"name" : "SortBy","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsFunction"]]],"locations" : [{"line" : 1532,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "SortBy: for a mutable list and a function","location" : {"line" : 2185,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SortBy"]},{"name" : "StableSort","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]],[["IsMutable","IsList"],["IsFunction"]]],"locations" : [{"line" : 1534,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1535,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10006,"comment" : "StableSort: for a mutable set","location" : {"line" : 2139,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSortedList","Tester(IsSortedList)"]]},{"rank" : 11,"comment" : "StableSort: for a mutable small list","location" : {"line" : 2107,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSmallList","Tester(IsSmallList)"]],"aka" : ["STABLE_SORT_LIST"]},{"rank" : 4,"comment" : "StableSort: for a mutable list","location" : {"line" : 2129,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 2,"comment" : "StableSort: for an immutable list","location" : {"line" : 2225,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 12,"comment" : "StableSort: for a mutable small list and a function","location" : {"line" : 2149,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList","IsSmallList","Tester(IsSmallList)"],["IsFunction"]],"aka" : ["STABLE_SORT_LIST_COMP"]},{"rank" : 5,"comment" : "StableSort: for a mutable list and a function","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsFunction"]]},{"rank" : 3,"comment" : "StableSort: for an immutable list and a function","location" : {"line" : 2225,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StableSort"]},{"name" : "StableSortBy","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsFunction"]]],"locations" : [{"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "StableSortBy: for a mutable list and a function","location" : {"line" : 2194,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StableSortBy"]},{"name" : "Sortex","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]],[["IsMutable","IsList"],["IsFunction"]]],"locations" : [{"line" : 1573,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1574,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10007,"comment" : "Sortex: for a mutable sorted list","location" : {"line" : 2298,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList","IsSortedList","Tester(IsSortedList)"]]},{"rank" : 4,"comment" : "Sortex: for a mutable list","location" : {"line" : 2275,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 2,"comment" : "Sortex: for an immutable list","location" : {"line" : 2303,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 5,"comment" : "Sortex: for a mutable list and a function","location" : {"line" : 2293,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Sortex"]},{"name" : "SortingPerm","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "SortingPerm: system getter","location" : {"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep","Tester(SortingPerm)"]]},{"rank" : 10005,"comment" : "SortingPerm: for a dense and sorted list","location" : {"line" : 2363,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList","IsSortedList","Tester(IsSortedList)"]]},{"rank" : 3,"comment" : "SortingPerm","location" : {"line" : 2358,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsDenseList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SortingPerm)","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SortingPerm): system setter","location" : {"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SortingPerm): default method, does nothing","location" : {"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSortingPerm"]},{"name" : "Tester(SortingPerm)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSortingPerm"]},{"name" : "SortParallel","type" : "GAP_Operation","filters" : [[["IsMutable","IsDenseList"],["IsMutable","IsDenseList"]],[["IsMutable","IsDenseList"],["IsMutable","IsDenseList"],["IsFunction"]]],"locations" : [{"line" : 1666,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1668,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10012,"comment" : "SortParallel: for a mutable set and a dense mutable list","location" : {"line" : 2391,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList","IsSortedList","Tester(IsSortedList)"],["IsMutable","IsDenseList"]]},{"rank" : 10,"comment" : "SortParallel: for two dense and mutable lists","location" : {"line" : 2374,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList"],["IsMutable","IsDenseList"]],"aka" : ["SORT_PARA_LIST"]},{"rank" : 4,"comment" : "SortParallel: for two immutable lists","location" : {"line" : 2421,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [{"rank" : 11,"comment" : "SortParallel: for two dense and mutable lists, and function","location" : {"line" : 2409,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList"],["IsMutable","IsDenseList"],["IsFunction"]],"aka" : ["SORT_PARA_LIST_COMP"]},{"rank" : 5,"comment" : "SortParallel: for two immutable lists and function","location" : {"line" : 2421,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SortParallel"]},{"name" : "StableSortParallel","type" : "GAP_Operation","filters" : [[["IsMutable","IsDenseList"],["IsMutable","IsDenseList"]],[["IsMutable","IsDenseList"],["IsMutable","IsDenseList"],["IsFunction"]]],"locations" : [{"line" : 1671,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1673,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10012,"comment" : "StableSortParallel: for a mutable set and a dense mutable list","location" : {"line" : 2398,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList","IsSortedList","Tester(IsSortedList)"],["IsMutable","IsDenseList"]]},{"rank" : 10,"comment" : "StableSortParallel: for two dense and mutable lists","location" : {"line" : 2380,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList"],["IsMutable","IsDenseList"]],"aka" : ["STABLE_SORT_PARA_LIST"]},{"rank" : 4,"comment" : "StableSortParallel: for two immutable lists","location" : {"line" : 2426,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [{"rank" : 11,"comment" : "StableSortParallel: for two dense and mutable lists, and function","location" : {"line" : 2416,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsDenseList"],["IsMutable","IsDenseList"],["IsFunction"]],"aka" : ["STABLE_SORT_PARA_LIST_COMP"]},{"rank" : 5,"comment" : "StableSortParallel: for two immutable lists and function","location" : {"line" : 2426,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StableSortParallel"]},{"name" : "MaximumList","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsList"],[]]],"locations" : [{"line" : 1783,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "MaximumList: for a range","location" : {"line" : 2506,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"]]},{"rank" : 8,"comment" : "MaximumList: for a sorted list","location" : {"line" : 2533,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 2,"comment" : "MaximumList: for a list","location" : {"line" : 2478,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 30,"comment" : "MaximumList: for a range and a seed","location" : {"line" : 2521,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"],[]]},{"rank" : 8,"comment" : "MaximumList: for a sorted list and a seed","location" : {"line" : 2545,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"],[]]},{"rank" : 2,"comment" : "MaximumList: for a list and a seed","location" : {"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MaximumList"]},{"name" : "MinimumList","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsList"],[]]],"locations" : [{"line" : 1786,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 1787,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "MinimumList: for a range","location" : {"line" : 2617,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"]]},{"rank" : 8,"comment" : "MinimumList: for a sorted list","location" : {"line" : 2642,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"]]},{"rank" : 2,"comment" : "MinimumList: for a list","location" : {"line" : 2588,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 30,"comment" : "MinimumList: for a range and a seed","location" : {"line" : 2632,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsRange"],[]]},{"rank" : 8,"comment" : "MinimumList: for a sorted list and a seed","location" : {"line" : 2652,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"],[]]},{"rank" : 2,"comment" : "MinimumList: for a list","location" : {"line" : 2601,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Permuted","type" : "GAP_Operation","filters" : [[["IsList"],["IsPerm"]]],"locations" : [{"line" : 1875,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 39,"comment" : "Permuted: for a class function, and a permutation","location" : {"line" : 1074,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsPerm"]]},{"rank" : 10,"comment" : "Permuted: for a list and a permutation","location" : {"line" : 2694,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsPerm"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Permuted"]},{"name" : "FirstOp","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 1959,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "FirstOp: for a list or collection and a function","location" : {"line" : 2733,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsListOrCollection"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FirstOp"]},{"name" : "Iterated","type" : "GAP_Operation","filters" : [[["IsList"],["IsFunction"]]],"locations" : [{"line" : 1987,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 3,"comment" : "Iterated: for a list and a function","location" : {"line" : 2753,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Iterated"]},{"name" : "PlainListCopyOp","type" : "GAP_Operation","filters" : [[["IsSmallList","Tester(IsSmallList)"]]],"locations" : [{"line" : 2167,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 28,"comment" : "PlainListCopyOp: For an 8 bit vector","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitMatrixRep"]]},{"rank" : 25,"comment" : "PlainListCopyOp: for a GF2 matrix","location" : {"line" : 1562,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsGF2MatrixRep"]]},{"rank" : 24,"comment" : "PlainListCopyOp: For an 8 bit vector","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","Is8BitVectorRep"]]},{"rank" : 21,"comment" : "PlainListCopyOp: for a GF2 vector","location" : {"line" : 1550,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PlainListCopyOp"]},{"name" : "PositionNot","type" : "GAP_Operation","filters" : [[["IsList"],[]],[["IsList"],[],["IsInt"]]],"locations" : [{"line" : 2198,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 2199,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "PositionNot: for 8-bit vector and 0*Z(p)","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsZero","Tester(IsZero)"]],"aka" : ["POSITION_NONZERO_VEC8BIT"]},{"rank" : 39,"comment" : "PositionNot: for GF(2) vector and 0*Z(2)","location" : {"line" : 1583,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE","IsZero","Tester(IsZero)"]],"aka" : ["POSITION_NONZERO_GF2VEC"]},{"rank" : 2,"comment" : "PositionNot: default value of third argument ","location" : {"line" : 3742,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[]]}],"3args" : [{"rank" : 60,"comment" : "PositionNot: for 8-bit vector and 0*Z(p) and starting ix","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsZero","Tester(IsZero)"],["IsInt"]],"aka" : ["POSITION_NONZERO_VEC8BIT3"]},{"rank" : 57,"comment" : "PositionNot: for GF(2) vector and 0*Z(2) and offset","location" : {"line" : 1590,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE","IsZero","Tester(IsZero)"],["IsInt"]]},{"rank" : 20,"comment" : "PositionNot: default method ","location" : {"line" : 3735,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"],[],["IsInt"]],"aka" : ["POSITION_NOT"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionNot"]},{"name" : "PositionNonZero","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]],[["IsHomogeneousList"],["IsInt"]],[["IsRowVectorObj"]],[["IsMatrixObj"]],[["IsMatrixObj"],["IsInt"]]],"locations" : [{"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 2238,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gd"},{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 25,"comment" : "PositionNonZero: for 8-bit vector","location" : {"line" : 602,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 22,"comment" : "PositionNonZero: for GF(2) vector","location" : {"line" : 1630,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 15,"comment" : "PositionNonZero: for a plist matrix","location" : {"line" : 1054,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 12,"comment" : "PositionNonZero: General method for a row vector","location" : {"line" : 1654,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 11,"comment" : "PositionNonZero: for a plist vector","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 4,"comment" : "PositionNonZero: default method","location" : {"line" : 3751,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [{"rank" : 43,"comment" : "PositionNonZero: for 8-bit vector and starting point","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"]]},{"rank" : 40,"comment" : "PositionNonZero: for GF(2) vector and offset","location" : {"line" : 1637,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"]]},{"rank" : 33,"comment" : "PositionNonZero: for a plist matrix, and a position","location" : {"line" : 1069,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsInt"]]},{"rank" : 22,"comment" : "PositionNonZero: default method with start","location" : {"line" : 3759,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsHomogeneousList"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionNonZero"]},{"name" : "NestingDepthA","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "NestingDepthA: system getter","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(NestingDepthA)"]]},{"rank" : 33,"comment" : "NestingDepthA","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 33,"comment" : "NestingDepthA","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 30,"comment" : "NestingDepthA","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector","CategoryCollections(IsFFE)"]]},{"rank" : 30,"comment" : "NestingDepthA","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector","CategoryCollections(IsCyclotomic)"]]},{"rank" : 15,"comment" : "NestingDepthA","location" : {"line" : 1034,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "NestingDepthA","location" : {"line" : 2078,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "NestingDepthA","location" : {"line" : 1036,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "NestingDepthA","location" : {"line" : 2080,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]},{"rank" : 0,"comment" : "NestingDepthA","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NestingDepthA)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NestingDepthA): system setter","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NestingDepthA): default method, does nothing","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNestingDepthA"]},{"name" : "Tester(NestingDepthA)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNestingDepthA"]},{"name" : "NestingDepthM","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "NestingDepthM: system getter","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(NestingDepthM)"]]},{"rank" : 45,"comment" : "NestingDepthM","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 45,"comment" : "NestingDepthM","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 31,"comment" : "NestingDepthM","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector","CategoryCollections(IsFFE)"]]},{"rank" : 31,"comment" : "NestingDepthM","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector","CategoryCollections(IsCyclotomic)"]]},{"rank" : 15,"comment" : "NestingDepthM","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "NestingDepthM","location" : {"line" : 2077,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "NestingDepthM","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "NestingDepthM","location" : {"line" : 2079,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]},{"rank" : 0,"comment" : "NestingDepthM","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NestingDepthM)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NestingDepthM): system setter","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NestingDepthM): default method, does nothing","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNestingDepthM"]},{"name" : "Tester(NestingDepthM)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNestingDepthM"]},{"name" : "IsZero","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]]],"locations" : [{"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "IsZero: system getter","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZero)"]]},{"rank" : 31,"comment" : "IsZero: for null map matrix","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 30,"comment" : "IsZero: method for a matrix","location" : {"line" : 1132,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 17,"comment" : "IsZero","location" : {"line" : 952,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 15,"comment" : "IsZero: for a plist matrix","location" : {"line" : 1507,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 14,"comment" : "IsZero","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"]]},{"rank" : 14,"comment" : "IsZero","location" : {"line" : 528,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"]]},{"rank" : 12,"comment" : "IsZero: for a row vector","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 11,"comment" : "IsZero: for a plist vector","location" : {"line" : 701,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 7,"comment" : "IsZero: for general mapping","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 4,"comment" : "IsZero: for an additive-element-with-zero","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"],["IsBool"]]],"locations" : [{"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZero): system setter","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZero): default method, does nothing","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZero"]},{"name" : "Tester(IsZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]]],"locations" : [{"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsOne","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]],[["IsReesMatrixSemigroupElement"]],[["IsReesZeroMatrixSemigroupElement"]]],"locations" : [{"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "IsOne: system getter","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsOne)"]]},{"rank" : 110,"comment" : "IsOne: straight line program perms","location" : {"line" : 1920,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"]]},{"rank" : 107,"comment" : "IsOne: object with memory","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 23,"comment" : "IsOne: method for s.v. gen. mapping that is a field homomorphism","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 21,"comment" : "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,mult.,one,scal. mult.","location" : {"line" : 1182,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 19,"comment" : "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,mult.,scal. mult.","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 19,"comment" : "IsOne: method for s.v. gen. mapping that respect mult.,one,add.,add.inv.","location" : {"line" : 1149,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 18,"comment" : "IsOne: using `MappingGeneratorsImages'","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","Tester(MappingGeneratorsImages)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 17,"comment" : "IsOne","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,scal. mult.","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 17,"comment" : "IsOne: method for s.v. gen. mapping that respect mult.,add.,add.inv.","location" : {"line" : 1138,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 15,"comment" : "IsOne: for a plist matrix","location" : {"line" : 1528,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "IsOne: method for s.v. gen. mapping that respect add. and add. inv.","location" : {"line" : 1127,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 15,"comment" : "IsOne: method for s.v. gen. mapping that respect mult. and inv.","location" : {"line" : 1097,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 13,"comment" : "IsOne: method for s.v. gen. mapping that respect add. and zero","location" : {"line" : 1117,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 13,"comment" : "IsOne: method for s.v. gen. mapping that respect mult. and one","location" : {"line" : 1087,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 11,"comment" : "IsOne: method for s.v. gen. mapping that respect add.","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)"]]},{"rank" : 11,"comment" : "IsOne: method for s.v. gen. mapping that respect mult.","location" : {"line" : 1077,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"]]},{"rank" : 9,"comment" : "IsOne: method for s.v. gen. mapping","location" : {"line" : 1067,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 7,"comment" : "IsOne: for a partial perm","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["IS_IDEM_PPERM"]},{"rank" : 7,"comment" : "IsOne: for a transformation","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["IS_ID_TRANS"]},{"rank" : 5,"comment" : "IsOne: for a Rees 0-matrix semigroup element","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 5,"comment" : "IsOne: for a Rees matrix semigroup element","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]},{"rank" : 4,"comment" : "IsOne: for a multiplicative-element-with-one","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsOne)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"],["IsBool"]]],"locations" : [{"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsOne): system setter","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsOne): default method, does nothing","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsOne"]},{"name" : "Tester(IsOne)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ZeroImmutable","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]],[["IsFamily"]],[["IsCollection","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain"]]],"locations" : [{"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "ZeroImmutable: system getter","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(ZeroImmutable)"]]},{"rank" : 10014,"comment" : "ZeroImmutable: for additive magma with zero (look at family)","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 45,"comment" : "ZeroImmutable: for GF2 Matrix","location" : {"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "ZeroImmutable: 8 bit matrix","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 30,"comment" : "ZeroImmutable","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsInternalRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsRectangularTable","Tester(IsRectangularTable)"]],"aka" : ["ZERO_ATTR_MAT"]},{"rank" : 29,"comment" : "ZeroImmutable: for a matrix space","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)"]]},{"rank" : 29,"comment" : "ZeroImmutable: for a row space","location" : {"line" : 753,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)"]]},{"rank" : 27,"comment" : "ZeroImmutable: for a right ideal","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 27,"comment" : "ZeroImmutable: for a left ideal","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)"]]},{"rank" : 17,"comment" : "ZeroImmutable","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 15,"comment" : "ZeroImmutable: for macfloats","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 15,"comment" : "ZeroImmutable: for a plist matrix","location" : {"line" : 1483,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "ZeroImmutable: univariate","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["ZERO_MUT","ZeroMutable","ZeroOp"]},{"rank" : 15,"comment" : "ZeroImmutable: for an add. magma-with-zero with parent (ask the parent)","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["Tester(ParentAttr)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 14,"comment" : "ZeroImmutable: for additive magma with zero","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 12,"comment" : "ZeroImmutable: for floats","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 12,"comment" : "ZeroImmutable: for additive magma","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 11,"comment" : "ZeroImmutable: for a plist vector","location" : {"line" : 687,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 6,"comment" : "ZeroImmutable: for a zero element","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement","IsZero","Tester(IsZero)"]]},{"rank" : 5,"comment" : "ZeroImmutable","location" : {"line" : 940,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPadicExtensionNumber)"]]},{"rank" : 5,"comment" : "ZeroImmutable","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPurePadicNumber)"]]},{"rank" : 5,"comment" : "ZeroImmutable: for a family of FFEs","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryFamily(IsFFE)"]]},{"rank" : 4,"comment" : "ZeroImmutable: for an additive-element-with-zero (look at the family)","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement"]]},{"rank" : 0,"comment" : "ZeroImmutable: for any object (call `ZERO')","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ZeroImmutable)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"],[]],[["IsFamily"],[]],[["IsCollection","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ZeroImmutable): system setter","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ZeroImmutable): default method, does nothing","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetZero","SetZeroAttr","SetZeroImmutable"]},{"name" : "Tester(ZeroImmutable)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]]],"locations" : [{"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasZero","HasZeroAttr","HasZeroImmutable"]},{"name" : "ZeroMutable","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]],[["IsReesMatrixSemigroupElement"]],[["IsReesZeroMatrixSemigroupElement"]]],"locations" : [{"line" : 1422,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10013,"comment" : "ZeroMutable: for Lie object in default representation","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 45,"comment" : "ZeroMutable: for GF2 Matrix","location" : {"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "ZeroMutable: 8 bit matrix","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 31,"comment" : "ZeroMutable: for a class function","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 28,"comment" : "ZeroMutable: for empty row vector","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 25,"comment" : "ZeroMutable: For an 8 bit vector","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["ZERO_VEC8BIT"]},{"rank" : 25,"comment" : "ZeroMutable: for GF2 vector","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]],"aka" : ["ZERO_GF2VEC"]},{"rank" : 23,"comment" : "ZeroMutable: for a partial perm semigroup","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "ZeroMutable","location" : {"line" : 998,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "ZeroMutable","location" : {"line" : 2810,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"]],"aka" : ["ZERO_MUT_LIST_DEFAULT"]},{"rank" : 15,"comment" : "ZeroMutable: for a partial perm coll","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]],"aka" : ["MeetOfPartialPerms"]},{"rank" : 15,"comment" : "ZeroMutable: for a plist matrix","location" : {"line" : 1495,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "ZeroMutable: univariate","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "ZeroMutable: for a direct product element","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "ZeroMutable: for element in Z\/nZ (ModulusRep)","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj"]]},{"rank" : 13,"comment" : "ZeroMutable: for a p-adic number","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicNumber"]]},{"rank" : 12,"comment" : "ZeroMutable: defer to family","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"]]},{"rank" : 12,"comment" : "ZeroMutable: for UEALattice element","location" : {"line" : 1455,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 11,"comment" : "ZeroMutable: for a plist vector","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "ZeroMutable: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj"]]},{"rank" : 11,"comment" : "ZeroMutable: for s. c. ring element","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "ZeroMutable: for a 0-cochain","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsCochain","IsZeroCochainRep"]]},{"rank" : 11,"comment" : "ZeroMutable: for s. c. algebra element","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "ZeroMutable: for an f.p. algebra element","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 11,"comment" : "ZeroMutable: for magma ring element","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "ZeroMutable: for weight rep element","location" : {"line" : 2869,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 10,"comment" : "ZeroMutable: for a cochain","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 10,"comment" : "ZeroMutable: for direct sum elements","location" : {"line" : 3267,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 10,"comment" : "ZeroMutable: for sparse rowspace elements","location" : {"line" : 2858,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 10,"comment" : "ZeroMutable: for monomial elements","location" : {"line" : 1365,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 10,"comment" : "ZeroMutable: for an algebra module element in packed representation","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 7,"comment" : "ZeroMutable: for a general mapping","location" : {"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 6,"comment" : "ZeroMutable: for a (non-copyable) zero element","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement","IsZero","Tester(IsZero)"]]},{"rank" : 5,"comment" : "ZeroMutable: for a Rees 0-matrix semigroup element","location" : {"line" : 876,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 5,"comment" : "ZeroMutable: for a Rees matrix semigroup element","location" : {"line" : 868,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]},{"rank" : 4,"comment" : "ZeroMutable: for an additive-element-with-zero (look at the family)","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ZeroSameMutability","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithZero","IsAdditiveElement"]]],"locations" : [{"line" : 1426,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 45,"comment" : "ZeroSameMutability: for GF2 Matrix","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "ZeroSameMutability: 8 bit matrix","location" : {"line" : 642,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 31,"comment" : "ZeroSameMutability: for null map matrix","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 26,"comment" : "ZeroSameMutability: for GF2 vector, mutable","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 25,"comment" : "ZeroSameMutability: For an 8 bit vector","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 25,"comment" : "ZeroSameMutability: for GF2 vector, immutable","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 17,"comment" : "ZeroSameMutability","location" : {"line" : 2814,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"]],"aka" : ["ZERO_LIST_DEFAULT"]},{"rank" : 15,"comment" : "ZeroSameMutability: for a plist matrix","location" : {"line" : 1473,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "ZeroSameMutability: for a plist vector","location" : {"line" : 679,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 0,"comment" : "ZeroSameMutability: for an (immutable) object","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZERO","ZeroSM","ZeroSameMutability"]},{"name" : "+","type" : "GAP_Operation","filters" : [[["IsExtAElement"],["IsExtAElement"]],[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 1434,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 90,"comment" : "+: for GF2 matrix and GF2 matrix","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]],"aka" : ["SUM_GF2MAT_GF2MAT"]},{"rank" : 88,"comment" : "+: For two 8 bit matrices in same characteristic","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]],"aka" : ["SUM_MAT8BIT_MAT8BIT"]},{"rank" : 84,"comment" : "+: for two empty matrices","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 70,"comment" : "+: for two characters","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsCharacter","Tester(IsCharacter)"],["IsClassFunction","IsCharacter","Tester(IsCharacter)"]]},{"rank" : 68,"comment" : "+: for two ordinary block matrices","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 66,"comment" : "+: for two virtual characters","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"],["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 62,"comment" : "+: for two null map matrices","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"],["IsNullMapMatrix"]]},{"rank" : 60,"comment" : "+: for two Gaussian row spaces","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 56,"comment" : "+: method for two two-sided ideals","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 56,"comment" : "+: for two empty row vectors in the same family","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 54,"comment" : "+: for linear m.b.i. and linear m.b.m.","location" : {"line" : 1608,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearGeneralMappingByImagesDefaultRep"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearMappingByMatrixDefaultRep"]],"aka" : ["SumOfMappingAndMBM"]},{"rank" : 54,"comment" : "+: for linear m.b.m. and linear m.b.i.","location" : {"line" : 1601,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearMappingByMatrixDefaultRep"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearGeneralMappingByImagesDefaultRep"]],"aka" : ["SumOfMBMAndMapping"]},{"rank" : 54,"comment" : "+: method for two right ideals","location" : {"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(RightActingRingOfIdeal)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 54,"comment" : "+: method for two left ideals","location" : {"line" : 679,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)"]]},{"rank" : 52,"comment" : "+: for two rings","location" : {"line" : 1175,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 50,"comment" : "+: For two 8 bit vectors in same characteristic","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["SUM_VEC8BIT_VEC8BIT"]},{"rank" : 50,"comment" : "+: for GF2 vectors","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]],"aka" : ["SUM_GF2VEC_GF2VEC"]},{"rank" : 47,"comment" : "+: For an 8 bit vector of char 2 and a GF2 vector","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 47,"comment" : "+: For a GF2 vector and an 8 bit vector of char 2","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 44,"comment" : "+: for two left modules","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 42,"comment" : "+: for a grv, and an ordinary block matrix","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsGeneralizedRowVector"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 42,"comment" : "+: for an ordinary block matrix, and a grv","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsGeneralizedRowVector"]]},{"rank" : 38,"comment" : "+: for ring ring general mapping and ring g.m.b.i.","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 38,"comment" : "+: for ring g.m.b.i. and ring general mapping","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 38,"comment" : "+: for mapping and linear m.b.m.","location" : {"line" : 1608,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 38,"comment" : "+: for linear m.b.m. and mapping","location" : {"line" : 1601,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearMappingByMatrixDefaultRep"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 38,"comment" : "+: for mapping and linear m.b.i.","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 38,"comment" : "+: for linear m.b.i. and mapping","location" : {"line" : 944,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearGeneralMappingByImagesDefaultRep"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 36,"comment" : "+: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "+: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 311,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 34,"comment" : "+","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "+: for integer and element in Z\/nZ (ModulusRep)","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 34,"comment" : "+: for element in Z\/nZ (ModulusRep) and integer","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsInt"]]},{"rank" : 34,"comment" : "+: BFElm+BFElm","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "+: BFElm+AlgElm","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "+: AlgElm+BFElm","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "+: AlgElm+AlgElm","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "+: laurent + laurent","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]],"aka" : ["SUM_LAURPOLS"]},{"rank" : 34,"comment" : "+","location" : {"line" : 3008,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 33,"comment" : "+: for rational and element in Z\/nZ (ModulusRep)","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsRat"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 33,"comment" : "+: for element in Z\/nZ (ModulusRep) and rational","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsRat"]]},{"rank" : 32,"comment" : "+: for two checking plist matrices","location" : {"line" : 1344,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsPlistMatrixRep","IsCheckingMatrix"]]},{"rank" : 32,"comment" : "+","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 32,"comment" : "+","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE"]]},{"rank" : 32,"comment" : "+: for a rational and a FFE","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsRat"],["IsFFE"]]},{"rank" : 32,"comment" : "+: for a FFE and a rational","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"],["IsRat"]]},{"rank" : 32,"comment" : "+: for two elements in Z\/nZ (ModulusRep)","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 32,"comment" : "+: for two unknowns","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsUnknown"]]},{"rank" : 32,"comment" : "+: for cyclotomic and unknown","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsCyc"],["IsUnknown"]]},{"rank" : 32,"comment" : "+: for unknown and cyclotomic","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 32,"comment" : "+: for general mapping and algebra g.m.b.i.","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 32,"comment" : "+: for an algebra g.m.b.i. and general mapping","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"],["IsGeneralMapping"]]},{"rank" : 32,"comment" : "+: for `-infinity' and `-infinity'","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"],["IsNegInfinity"]]},{"rank" : 32,"comment" : "+: for cyclotomic and `-infinity'","location" : {"line" : 551,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"],["IsNegInfinity"]]},{"rank" : 32,"comment" : "+: for `-infinity' and cyclotomic","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"],["IsCyc"]]},{"rank" : 32,"comment" : "+: for `infinity' and `infinity'","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"],["IsInfinity"]]},{"rank" : 32,"comment" : "+: for cyclotomic and `infinity'","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"],["IsInfinity"]]},{"rank" : 32,"comment" : "+: for `infinity' and cyclotomic","location" : {"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"],["IsCyc"]]},{"rank" : 31,"comment" : "+: for object, and class function","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [[],["IsClassFunction"]]},{"rank" : 31,"comment" : "+: for class function, and object","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],[]]},{"rank" : 30,"comment" : "+: for two plist matrices","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 30,"comment" : "+","location" : {"line" : 733,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE"]]},{"rank" : 30,"comment" : "+: univariate + univariate","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["SUM_UNIVFUNCS"]},{"rank" : 30,"comment" : "+: for general mapping and linear g.m.b.i.","location" : {"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 30,"comment" : "+: for linear g.m.b.i. and general mapping","location" : {"line" : 802,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"],["IsGeneralMapping"]]},{"rank" : 30,"comment" : "+: for two direct product elements","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsDirectProductElement"]]},{"rank" : 29,"comment" : "+: for float and rational","location" : {"line" : 996,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "+: for rational and float","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 28,"comment" : "+","location" : {"line" : 1167,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPadicExtensionNumber"]]},{"rank" : 28,"comment" : "+","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPurePadicNumber"]]},{"rank" : 28,"comment" : "+: zmodnze : for cyclotomic and element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsCyclotomic"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 28,"comment" : "+: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep) and cyclotomic","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsCyclotomic"]]},{"rank" : 28,"comment" : "+: polynomial + polynomial","location" : {"line" : 883,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 26,"comment" : "+: zmodnze : for two elements in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 26,"comment" : "+: rat-fun + rat-fun","location" : {"line" : 1226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"],["IsRationalFunction"]]},{"rank" : 26,"comment" : "+: for s. c. ring elements in dense vector rep.","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "+: for two Lie objects in default representation","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 26,"comment" : "+: for s. c. algebra elements in dense vector rep.","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 25,"comment" : "+: for floats","location" : {"line" : 998,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "+: FElm+BFElm","location" : {"line" : 442,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsAlgBFRep"]]},{"rank" : 25,"comment" : "+: BFElm+FElm","location" : {"line" : 433,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "+: FElm+AlgElm","location" : {"line" : 424,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsKroneckerConstRep"]]},{"rank" : 25,"comment" : "+: AlgElm+FElm","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "+: laurent + coeff","location" : {"line" : 548,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "+: coeff + laurent","location" : {"line" : 544,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]],"aka" : ["SumCoeffLaurpol"]},{"rank" : 25,"comment" : "+: laurent + coeff(embed)","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "+: coeff(embed) + laurent","location" : {"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 25,"comment" : "+: for a default list, and a direct product element","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsListDefault"],["IsDirectProductElement"]],"aka" : ["SUM_LIST_SCL_DEFAULT"]},{"rank" : 25,"comment" : "+: for a direct product element, and a default list","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsListDefault"]],"aka" : ["SUM_SCL_LIST_DEFAULT"]},{"rank" : 24,"comment" : "+: for two checking plist vectors","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsPlistVectorRep","IsCheckingVector"]]},{"rank" : 24,"comment" : "+: for two UEALattice elements","location" : {"line" : 1484,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"],["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 24,"comment" : "+: for binary relations on points","location" : {"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 24,"comment" : "+: for zero mapping and general mapping","location" : {"line" : 796,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 24,"comment" : "+: for general mapping and zero mapping","location" : {"line" : 783,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 24,"comment" : "+: for two info selectors","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"],["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"]]},{"rank" : 23,"comment" : "+: univariate + coeff","location" : {"line" : 1609,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 23,"comment" : "+: coeff + univariate","location" : {"line" : 1605,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["SumCoeffUnivfunc"]},{"rank" : 22,"comment" : "+: for two plist vectors","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsPlistVectorRep"]]},{"rank" : 22,"comment" : "+: coeff + polynomial ","location" : {"line" : 1044,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 22,"comment" : "+: polynomial + coeff","location" : {"line" : 1038,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 22,"comment" : "+: for two 0-cochains","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsCochain","IsZeroCochainRep"],["IsCochain","IsZeroCochainRep"]]},{"rank" : 22,"comment" : "+: for s. c. algebra elements","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsSCAlgebraObj"]]},{"rank" : 22,"comment" : "+: fp algebra elements","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"],["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 22,"comment" : "+: for two magma ring elements","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 21,"comment" : "+: for ring element, and Lie object in default representation","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 21,"comment" : "+: for Lie object in default representation, and ring element","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 20,"comment" : "+: coeff + ratfun ","location" : {"line" : 1267,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPolynomialFunction"]]},{"rank" : 20,"comment" : "+: ratfun + coeff","location" : {"line" : 1261,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 20,"comment" : "+: for weight rep elements","location" : {"line" : 2808,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 20,"comment" : "+: for two cochains","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"],["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 20,"comment" : "+: for direct sum elements","location" : {"line" : 3277,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"],["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 20,"comment" : "+: for sparse rowspace elements","location" : {"line" : 2876,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"],["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 20,"comment" : "+: for monomial elements","location" : {"line" : 1396,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"],["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 20,"comment" : "+: for two algebra module elements in packed representation","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 19,"comment" : "+: for additive element and additive group","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveElement"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 19,"comment" : "+: for additive group and additive element","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsAdditiveElement"]]},{"rank" : 17,"comment" : "+: for a vector and an algebra module element in packed representation","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 17,"comment" : "+: for an algebra module element in packed representation and a vector","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 17,"comment" : "+","location" : {"line" : 2861,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 17,"comment" : "+","location" : {"line" : 2851,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],[]]},{"rank" : 15,"comment" : "+: univariate + rat","location" : {"line" : 1620,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRat"]]},{"rank" : 15,"comment" : "+: rat + univariate","location" : {"line" : 1615,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRat"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "+: for additive element and additive coset","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveElement"],["IsAdditiveCoset"]]},{"rank" : 15,"comment" : "+: for additive coset and additive element","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset"],["IsAdditiveElement"]]},{"rank" : 15,"comment" : "+: for a non-list, and a direct product element","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [[],["IsDirectProductElement"]]},{"rank" : 15,"comment" : "+: for a direct product element, and a non-list","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],[]]},{"rank" : 14,"comment" : "+: for magma ring element and magma element","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsMultiplicativeElement"]]},{"rank" : 14,"comment" : "+: for magma element and magma ring element","location" : {"line" : 551,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMultiplicativeElement"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 13,"comment" : "+: for info selector and info class","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"],["IsInfoClass"]]},{"rank" : 13,"comment" : "+: for info class and info selector","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClass"],["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"]]},{"rank" : 12,"comment" : "+: rat + ratfun ","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRat"],["IsPolynomialFunction"]]},{"rank" : 12,"comment" : "+: ratfun + rat","location" : {"line" : 1273,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsRat"]]},{"rank" : 2,"comment" : "+: for two info classes","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClass"],["IsInfoClass"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["+","SUM"]},{"name" : "AdditiveInverseImmutable","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]],"locations" : [{"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "AdditiveInverseImmutable: system getter","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdditiveInverseImmutable)"]]},{"rank" : 45,"comment" : "AdditiveInverseImmutable: for GF2 matrix","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "AdditiveInverseImmutable: 8 bit matrix","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 25,"comment" : "AdditiveInverseImmutable: For an 8 bit vector","location" : {"line" : 442,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["AINV_VEC8BIT_IMMUTABLE"]},{"rank" : 25,"comment" : "AdditiveInverseImmutable: for GF2 vector","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 15,"comment" : "AdditiveInverseImmutable: for a plist matrix","location" : {"line" : 1450,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "AdditiveInverseImmutable: for a plist vector","location" : {"line" : 664,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 7,"comment" : "AdditiveInverseImmutable: for a zero element","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsZero","Tester(IsZero)"]]},{"rank" : 0,"comment" : "AdditiveInverseImmutable: for any object (call `AINV')","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdditiveInverseImmutable)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement"],[]]],"locations" : [{"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdditiveInverseImmutable): system setter","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdditiveInverseImmutable): default method, does nothing","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdditiveInverse","SetAdditiveInverseAttr","SetAdditiveInverseImmutable"]},{"name" : "Tester(AdditiveInverseImmutable)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]],"locations" : [{"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdditiveInverse","HasAdditiveInverseAttr","HasAdditiveInverseImmutable"]},{"name" : "AdditiveInverseMutable","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]],"locations" : [{"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 45,"comment" : "AdditiveInverseMutable: for GF2 matrix","location" : {"line" : 747,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "AdditiveInverseMutable: 8 bit matrix","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 34,"comment" : "AdditiveInverseMutable: for an ordinary block matrix","location" : {"line" : 360,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 33,"comment" : "AdditiveInverseMutable: for a virtual character","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 31,"comment" : "AdditiveInverseMutable: for a class function","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 31,"comment" : "AdditiveInverseMutable: for a null map matrix","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 28,"comment" : "AdditiveInverseMutable: for empty row vector","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 25,"comment" : "AdditiveInverseMutable: For an 8 bit vector","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["AINV_VEC8BIT_MUTABLE"]},{"rank" : 25,"comment" : "AdditiveInverseMutable: for GF2 vector","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 25,"comment" : "AdditiveInverseMutable: for algebra g.m.b.i.","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "AdditiveInverseMutable: for ring g.m.b.i.","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "AdditiveInverseMutable: for linear m.b.m.","location" : {"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 23,"comment" : "AdditiveInverseMutable: for linear g.m.b.i.","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 17,"comment" : "AdditiveInverseMutable","location" : {"line" : 881,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "AdditiveInverseMutable: BFElm","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"]]},{"rank" : 17,"comment" : "AdditiveInverseMutable: AlgElm","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "AdditiveInverseMutable: laurent polynomial","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 17,"comment" : "AdditiveInverseMutable","location" : {"line" : 2827,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"]],"aka" : ["AINV_MUT_LIST_DEFAULT"]},{"rank" : 16,"comment" : "AdditiveInverseMutable: for element in Z\/nZ (ModulusRep)","location" : {"line" : 591,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 16,"comment" : "AdditiveInverseMutable: for an unknown","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"]]},{"rank" : 16,"comment" : "AdditiveInverseMutable: for `-infinity'","location" : {"line" : 531,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsNegInfinity"]]},{"rank" : 16,"comment" : "AdditiveInverseMutable: for `infinity'","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInfinity"]]},{"rank" : 15,"comment" : "AdditiveInverseMutable: for a plist matrix","location" : {"line" : 1462,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "AdditiveInverseMutable: univariate","location" : {"line" : 1452,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "AdditiveInverseMutable: for a direct product element","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "AdditiveInverseMutable","location" : {"line" : 1046,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"]]},{"rank" : 14,"comment" : "AdditiveInverseMutable","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"]]},{"rank" : 14,"comment" : "AdditiveInverseMutable: polynomial","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]],"aka" : ["ADDITIVE_INV_POLYNOMIAL"]},{"rank" : 13,"comment" : "AdditiveInverseMutable: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 13,"comment" : "AdditiveInverseMutable: rational function","location" : {"line" : 833,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]],"aka" : ["ADDITIVE_INV_RATFUN"]},{"rank" : 13,"comment" : "AdditiveInverseMutable: for Lie object in default representation","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 12,"comment" : "AdditiveInverseMutable: for UEALattice element","location" : {"line" : 1500,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: for a plist vector","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: for s. c. ring element","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: for a 0-cochain","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsCochain","IsZeroCochainRep"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: for s. c. algebra element","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: fp algebra element","location" : {"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 11,"comment" : "AdditiveInverseMutable: for magma ring element","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for a weight rep element","location" : {"line" : 2824,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for a cochain","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for a direct sum element","location" : {"line" : 3285,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for a sparse rowspace element","location" : {"line" : 2892,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for a monomial element","location" : {"line" : 1414,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 10,"comment" : "AdditiveInverseMutable: for an algebra module element in packed representation","location" : {"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 7,"comment" : "AdditiveInverseMutable: for a (non-copyable) zero element","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsZero","Tester(IsZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AINV_MUT","AdditiveInverseMutable","AdditiveInverseOp"]},{"name" : "AdditiveInverseSameMutability","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]],"locations" : [{"line" : 1506,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 45,"comment" : "AdditiveInverseSameMutability: for GF2 matrix","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 44,"comment" : "AdditiveInverseSameMutability: 8 bit matrix","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithZero","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 31,"comment" : "AdditiveInverseSameMutability: for a null map matrix","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"]]},{"rank" : 26,"comment" : "AdditiveInverseSameMutability: for GF2 vector, mutable","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 25,"comment" : "AdditiveInverseSameMutability: For an 8 bit vector","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["AINV_VEC8BIT_SAME_MUTABILITY"]},{"rank" : 25,"comment" : "AdditiveInverseSameMutability: for GF2 vector, immutable","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 17,"comment" : "AdditiveInverseSameMutability","location" : {"line" : 2831,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"]],"aka" : ["AINV_LIST_DEFAULT"]},{"rank" : 15,"comment" : "AdditiveInverseSameMutability: for a plist matrix","location" : {"line" : 1440,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 11,"comment" : "AdditiveInverseSameMutability: for a plist vector","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 0,"comment" : "AdditiveInverseSameMutability: for an (immutable) object","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AINV","AdditiveInverseSM","AdditiveInverseSameMutability"]},{"name" : "-","type" : "GAP_Operation","filters" : [[["IsExtAElement"],["IsNearAdditiveElementWithInverse"]],[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 664,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 90,"comment" : "-: for GF2 matrix and GF2 matrix","location" : {"line" : 1096,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 88,"comment" : "-: For two 8 bit matrices in same characteristic","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]],"aka" : ["DIFF_MAT8BIT_MAT8BIT"]},{"rank" : 50,"comment" : "-: For two 8bit vectors","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["DIFF_VEC8BIT_VEC8BIT"]},{"rank" : 50,"comment" : "-: for GF2 vectors","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]]},{"rank" : 47,"comment" : "-: For an 8 bit vector of char 2 and a GF2 vector","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 47,"comment" : "-: For a GF2 vector and an 8 bit vector of char 2","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 36,"comment" : "-: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 391,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "-: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 36,"comment" : "-: for two unknowns in default representation","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown","IsUnknownDefaultRep"],["IsUnknown","IsUnknownDefaultRep"]]},{"rank" : 34,"comment" : "-","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "-: for integer and element in Z\/nZ (ModulusRep)","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 34,"comment" : "-: for element in Z\/nZ (ModulusRep) and integer","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsInt"]]},{"rank" : 34,"comment" : "-: laurent - laurent","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]],"aka" : ["DIFF_LAURPOLS"]},{"rank" : 34,"comment" : "-","location" : {"line" : 3065,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 33,"comment" : "-: for rational and element in Z\/nZ (ModulusRep)","location" : {"line" : 379,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsRat"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 33,"comment" : "-: for element in Z\/nZ (ModulusRep) and rational","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsRat"]]},{"rank" : 32,"comment" : "-: for two checking plist matrices","location" : {"line" : 1380,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsPlistMatrixRep","IsCheckingMatrix"]]},{"rank" : 32,"comment" : "-","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 32,"comment" : "-","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE"]]},{"rank" : 32,"comment" : "-: for two elements in Z\/nZ (ModulusRep)","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 32,"comment" : "-: for cyclotomic and unknown","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsCyc"],["IsUnknown"]]},{"rank" : 32,"comment" : "-: for unknown and cyclotomic","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 30,"comment" : "-: for two plist matrices","location" : {"line" : 1357,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 30,"comment" : "-","location" : {"line" : 797,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE"]]},{"rank" : 30,"comment" : "-: univariate - univariate","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["DIFF_UNIVFUNCS"]},{"rank" : 29,"comment" : "-: for float and rational","location" : {"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "-: for rational and float","location" : {"line" : 1001,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 28,"comment" : "-","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPadicExtensionNumber"]]},{"rank" : 26,"comment" : "-: for s. c. ring elements in dense vector rep.","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "-: for two Lie objects in default representation","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 26,"comment" : "-: for s. c. algebra elements in dense vector rep.","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 25,"comment" : "-: for floats","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 24,"comment" : "-: for two checking plist vectors","location" : {"line" : 420,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsPlistVectorRep","IsCheckingVector"]]},{"rank" : 24,"comment" : "-: for binary relations on points","location" : {"line" : 1299,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 22,"comment" : "-: for two plist vectors","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsPlistVectorRep"]]},{"rank" : 22,"comment" : "-: for s. c. algebra elements","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsSCAlgebraObj"]]},{"rank" : 22,"comment" : "-: fp algebra elements","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"],["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 21,"comment" : "-: for ring element, and Lie object in default representation","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 21,"comment" : "-: for Lie object in default representation, and ring element","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 16,"comment" : "-","location" : {"line" : 3028,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector"],["IsGeneralizedRowVector"]]},{"rank" : 14,"comment" : "-: for magma ring element and magma element","location" : {"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMultiplicativeElement"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 14,"comment" : "-: for magma ring element and magma element","location" : {"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsMultiplicativeElement"]]},{"rank" : 8,"comment" : "-","location" : {"line" : 3046,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsGeneralizedRowVector"]]},{"rank" : 8,"comment" : "-","location" : {"line" : 3037,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsGeneralizedRowVector"],[]]},{"rank" : 5,"comment" : "-: for external add. element, and additive-element-with-zero","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsExtAElement"],["IsNearAdditiveElementWithInverse"]],"aka" : ["DIFF_DEFAULT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["-","DIFF"]},{"name" : "*","type" : "GAP_Operation","filters" : [[["IsExtRElement"],["IsExtLElement"]]],"locations" : [{"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10024,"comment" : "*: additive element with zero * zero integer","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero"],["IsInt","IsZeroCyc"]]},{"rank" : 10024,"comment" : "*: zero integer * additive element with zero","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsInt","IsZeroCyc"],["IsNearAdditiveElementWithZero"]],"aka" : ["PROD_INT_OBJ"]},{"rank" : 214,"comment" : "*: objects with memory","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsObjWithMemory"]]},{"rank" : 214,"comment" : "*: straight line program elements","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"],["IsStraightLineProgElm"]]},{"rank" : 151,"comment" : "*: for a row vector and a matrix with memory","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"]]},{"rank" : 144,"comment" : "*: for a matrix with memory and a scalar","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 144,"comment" : "*: for a scalar and a matrix with memory","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"]]},{"rank" : 110,"comment" : "*: x with straight line program element","location" : {"line" : 1073,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsMultiplicativeElement"],["IsStraightLineProgElm"]]},{"rank" : 110,"comment" : "*: straight line program element with x","location" : {"line" : 1066,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"],["IsMultiplicativeElement"]]},{"rank" : 96,"comment" : "*: More efficient non-recursive kernel method for vector*matrix of cyclotomics","location" : {"line" : 3369,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(IsCyclotomic)","IsListDefault"],["IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsCyclotomic))","IsListDefault","IsRectangularTable","Tester(IsRectangularTable)"]]},{"rank" : 95,"comment" : "*: More efficient non-recursive method for matrix*matrix of cyclotomics","location" : {"line" : 3387,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsCyclotomic))","IsListDefault"],["IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsCyclotomic))","IsListDefault","IsRectangularTable","Tester(IsRectangularTable)"]]},{"rank" : 90,"comment" : "*: for GF2 matrix and GF2 matrix","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]],"aka" : ["PROD_GF2MAT_GF2MAT"]},{"rank" : 88,"comment" : "*: 8 bit matrix * 8 bit matrix","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]],"aka" : ["PROD_MAT8BIT_MAT8BIT"]},{"rank" : 84,"comment" : "*: for two empty matrices","location" : {"line" : 1503,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 78,"comment" : "*: for GF2 vector and GF2 matrix","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]],"aka" : ["PROD_GF2VEC_GF2MAT"]},{"rank" : 77,"comment" : "*: 8 bit matrix * 8 bit vector","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["PROD_MAT8BIT_VEC8BIT"]},{"rank" : 77,"comment" : "*: 8 bit vector * 8 bit matrix","location" : {"line" : 439,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]],"aka" : ["PROD_VEC8BIT_MAT8BIT"]},{"rank" : 74,"comment" : "*: For an 8 bit vector and a compatible matrix","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","IsHomogeneousList","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],"aka" : ["PROD_VEC8BIT_MATRIX"]},{"rank" : 74,"comment" : "*: for two ordinary block matrices","location" : {"line" : 421,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 71,"comment" : "*: For a GF2 vector and a compatible matrix","location" : {"line" : 1123,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsHomogeneousList","IsSmallList","Tester(IsSmallList)","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],"aka" : ["PROD_GF2VEC_ANYMAT"]},{"rank" : 70,"comment" : "*: for two characters","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacter","Tester(IsCharacter)"],["IsCharacter","Tester(IsCharacter)"]]},{"rank" : 70,"comment" : "*: for GF2 matrix and GF2 vector","location" : {"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]],"aka" : ["PROD_GF2MAT_GF2VEC"]},{"rank" : 66,"comment" : "*: for two virtual characters","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsVirtualCharacter","Tester(IsVirtualCharacter)"],["IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 66,"comment" : "*: for GF2 vectors","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"],["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsListDefault","IsGF2VectorRep"]],"aka" : ["PROD_GF2VEC_GF2VEC"]},{"rank" : 64,"comment" : "*: For 2 8 bit vectors","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)","Is8BitVectorRep"],["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)","Is8BitVectorRep"]],"aka" : ["PROD_VEC8BIT_VEC8BIT"]},{"rank" : 62,"comment" : "*: for two class functions","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsClassFunction"]]},{"rank" : 62,"comment" : "*: for ffe and ordinary block matrix of integers","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsFFE"],["IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCyclotomic))","IsBlockMatrixRep"]]},{"rank" : 62,"comment" : "*: for ordinary block matrix of integers and ffe","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCyclotomic))","IsBlockMatrixRep"],["IsFFE"]]},{"rank" : 62,"comment" : "*: for two null map matrices","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"],["IsNullMapMatrix"]]},{"rank" : 61,"comment" : "*: for matrix and null map matrix","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNullMapMatrix"]]},{"rank" : 60,"comment" : "*: for GF2 matrix and GF2 element","location" : {"line" : 1190,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"],["IsFFE"]]},{"rank" : 60,"comment" : "*: for GF2 element and GF2 matrix","location" : {"line" : 1170,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsFFE"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsListDefault","IsGF2MatrixRep"]]},{"rank" : 59,"comment" : "*: scalar * 8 bit matrix","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsFFE"]]},{"rank" : 59,"comment" : "*: scalar * 8 bit matrix","location" : {"line" : 488,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsFFE"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 59,"comment" : "*: for empty list, and empty matrix","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 59,"comment" : "*: for empty matrix, and empty list","location" : {"line" : 1509,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 59,"comment" : "*","location" : {"line" : 461,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 56,"comment" : "*: for two empty row vectors in the same family","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 55,"comment" : "*: for GF2 vector and FFE","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE"]]},{"rank" : 55,"comment" : "*: for FFE and GF2 vector","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsFFE"],["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 54,"comment" : "*: for character, and positive integer","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacter","Tester(IsCharacter)"],["IsInt","IsPosRat"]]},{"rank" : 54,"comment" : "*: for positive integer, and character","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsInt","IsPosRat"],["IsCharacter","Tester(IsCharacter)"]]},{"rank" : 53,"comment" : "*: for ring and right ideal (construct a two-sided ideal)","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 53,"comment" : "*: for left ideal and ring (construct a two-sided ideal)","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 52,"comment" : "*: for integer and ordinary block matrix","location" : {"line" : 523,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsInt"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 52,"comment" : "*: for ordinary block matrix and integer","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsInt"]]},{"rank" : 51,"comment" : "*: for virtual character, and integer","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsVirtualCharacter","Tester(IsVirtualCharacter)"],["IsInt"]]},{"rank" : 51,"comment" : "*: for integer, and virtual character","location" : {"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsInt"],["IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 50,"comment" : "*: for ring element, and empty matrix","location" : {"line" : 1527,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 50,"comment" : "*: for empty matrix, and ring element","location" : {"line" : 1521,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 48,"comment" : "*: for empty list and null map matrix","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsNullMapMatrix"]]},{"rank" : 47,"comment" : "*: for class function, and cyclotomic","location" : {"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsCyc"]]},{"rank" : 47,"comment" : "*: for cyclotomic, and class function","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCyc"],["IsClassFunction"]]},{"rank" : 47,"comment" : "*: For an 8 bit vector of char 2 and a GF2 vector","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 47,"comment" : "*: For a GF2 vector and an 8 bit vector of char 2","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 46,"comment" : "*: for vector and ordinary block matrix","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 46,"comment" : "*: for ordinary block matrix and vector","location" : {"line" : 450,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 46,"comment" : "*: for empty row vector, and integer","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsInt"]]},{"rank" : 46,"comment" : "*: for integer, and empty row vector","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsInt"],["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 45,"comment" : "*: for FFE and GF2 vector","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsFFE"],["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 45,"comment" : "*: for FFE and GF2 vector","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsFFE"],["IsList","IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElement)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 44,"comment" : "*","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsRat"],["IsList","CategoryCollections(IsPadicNumber)"]]},{"rank" : 44,"comment" : "*","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsList","CategoryCollections(IsPadicNumber)"],["IsRat"]]},{"rank" : 43,"comment" : "*: for a mgrv, and an ordinary block matrix","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 43,"comment" : "*: for an ordinary block matrix, and a mgrv","location" : {"line" : 564,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsMultiplicativeGeneralizedRowVector"]]},{"rank" : 42,"comment" : "*: For an FFE and an 8 bit vector ","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["PROD_FFE_VEC8BIT"]},{"rank" : 42,"comment" : "*: For an 8 bit vector and an FFE","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsInternalRep"]],"aka" : ["PROD_VEC8BIT_FFE"]},{"rank" : 42,"comment" : "*: for ring element and ordinary block matrix","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 42,"comment" : "*: for ordinary block matrix and ring element","location" : {"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 41,"comment" : "*: for list in `IsListDefault', and class function","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsListDefault"],["IsClassFunction"]]},{"rank" : 41,"comment" : "*: for class function, and list in `IsListDefault'","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsListDefault"]]},{"rank" : 41,"comment" : "*: for a null map matrix and a scalar","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNullMapMatrix"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 41,"comment" : "*: for a scalar and a null map matrix","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsNullMapMatrix"]]},{"rank" : 40,"comment" : "*: for two nearly character tables (call `CharacterTableDirectProduct')","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]],"aka" : ["CharacterTableDirectProduct"]},{"rank" : 40,"comment" : "*: group times element","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 38,"comment" : "*: for vector and null map matrix","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsNullMapMatrix"]]},{"rank" : 36,"comment" : "*: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "*: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 35,"comment" : "*: internal ffe * (large) integer","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"],["IsInt"]]},{"rank" : 34,"comment" : "*","location" : {"line" : 838,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "*: for integer and element in Z\/nZ (ModulusRep)","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 34,"comment" : "*: for element in Z\/nZ (ModulusRep) and integer","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsInt"]]},{"rank" : 34,"comment" : "*: BFElm*BFElm","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "*: BFElm*AlgElm","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "*: AlgElm*BFElm","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsAlgBFRep"]]},{"rank" : 34,"comment" : "*: AlgElm*AlgElm","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"],["IsKroneckerConstRep"]]},{"rank" : 34,"comment" : "*: laurent * laurent","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]],"aka" : ["PRODUCT_LAURPOLS"]},{"rank" : 34,"comment" : "*: for ring and ring element (construct a left ideal)","location" : {"line" : 769,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 34,"comment" : "*: for ring element and ring (construct a right ideal)","location" : {"line" : 746,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 34,"comment" : "*","location" : {"line" : 3350,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 33,"comment" : "*: for rational and element in Z\/nZ (ModulusRep)","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsRat"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 33,"comment" : "*: for element in Z\/nZ (ModulusRep) and rational","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsRat"]]},{"rank" : 33,"comment" : "*: for list and null map matrix","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"],["IsNullMapMatrix"]]},{"rank" : 32,"comment" : "*: RightCosets","location" : {"line" : 463,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"],["IsRightCoset"]]},{"rank" : 32,"comment" : "*","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE"]]},{"rank" : 32,"comment" : "*","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 32,"comment" : "*: for a rational and a FFE","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsRat"],["IsFFE"]]},{"rank" : 32,"comment" : "*: for a FFE and a rational","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"],["IsRat"]]},{"rank" : 32,"comment" : "*: for two elements in Z\/nZ (ModulusRep)","location" : {"line" : 403,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 32,"comment" : "*: for two unknowns","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsUnknown"]]},{"rank" : 32,"comment" : "*: for cyclotomic and unknown","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsCyc"],["IsUnknown"]]},{"rank" : 32,"comment" : "*: for unknown and cyclotomic","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 31,"comment" : "*: for s. c. ring element in dense vector rep. and integer","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsInt"]]},{"rank" : 31,"comment" : "*: for integer and s. c. ring element in dense vector rep.","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsInt"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 31,"comment" : "*: for s. c. algebra element in dense vector rep. and integer","location" : {"line" : 433,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsInt"]]},{"rank" : 31,"comment" : "*: for integer and s. c. algebra element in dense vector rep.","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsInt"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 31,"comment" : "*: for empty row vector, and multiplicative element","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"],["IsMultiplicativeElement"]]},{"rank" : 31,"comment" : "*: for multiplicative element, and empty row vector","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsMultiplicativeElement"],["IsHomogeneousList","IsEmpty","Tester(IsEmpty)","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsEmptyRowVectorRep"]]},{"rank" : 30,"comment" : "*: for two plist matrices","location" : {"line" : 1417,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistMatrixRep"]]},{"rank" : 30,"comment" : "*","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsRat"],["IsPadicNumber"]]},{"rank" : 30,"comment" : "*","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicNumber"],["IsRat"]]},{"rank" : 30,"comment" : "*","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE"]]},{"rank" : 30,"comment" : "*: univariate * univariate","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["PRODUCT_UNIVFUNCS"]},{"rank" : 30,"comment" : "*: for two direct product elements","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsDirectProductElement"]]},{"rank" : 29,"comment" : "*: for float and rational","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "*: for rational and float","location" : {"line" : 1008,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 29,"comment" : "*: zmodnze : for element x in Z\/nZ and y in Z\/nZ(m)","location" : {"line" : 252,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 29,"comment" : "*: zmodnze : for element x in Z\/nZ(m) and y in Z\/nZ","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 29,"comment" : "*: for s. c. algebra element and integer","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsInt"]]},{"rank" : 29,"comment" : "*: for integer and s. c. algebra element","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsInt"],["IsSCAlgebraObj"]]},{"rank" : 28,"comment" : "*","location" : {"line" : 1288,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPadicExtensionNumber"]]},{"rank" : 28,"comment" : "*","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"],["IsPurePadicNumber"]]},{"rank" : 28,"comment" : "*","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPadicExtensionNumber"]]},{"rank" : 28,"comment" : "*","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPurePadicNumber"]]},{"rank" : 28,"comment" : "*: zmodnze : for element x in Z\/nZ(m) (ZmodnZepsRep) and cyclotomic y","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsCyclotomic"]]},{"rank" : 28,"comment" : "*: zmodnze : for cyclotomic x and element y in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsCyclotomic"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 28,"comment" : "*: polynomial * polynomial","location" : {"line" : 915,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 28,"comment" : "*: for scalar and algebra g.m.b.i.","location" : {"line" : 590,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsMultiplicativeElement"],["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 28,"comment" : "*: for rational, and magma ring element","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsRat"],["IsElementOfMagmaRingModuloRelations"]],"aka" : ["RingElmTimesElm"]},{"rank" : 28,"comment" : "*: for magma ring element, and rational","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsRat"]],"aka" : ["ElmTimesRingElm"]},{"rank" : 26,"comment" : "*: for a plist vector and a plist matrix","location" : {"line" : 1748,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsPlistMatrixRep"]]},{"rank" : 26,"comment" : "*: zmodnze : for two elements in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 26,"comment" : "*: univariate * coeff","location" : {"line" : 1572,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 26,"comment" : "*: coeff * univariate","location" : {"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["ProdCoeffUnivfunc"]},{"rank" : 26,"comment" : "*: rat-fun * rat-fun","location" : {"line" : 1130,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"],["IsRationalFunction"]]},{"rank" : 26,"comment" : "*: for s. c. ring elements in dense vector rep.","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj","IsDenseCoeffVectorRep"],["IsSCRingObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "*: for two Lie objects in default representation","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 26,"comment" : "*: for s. c. algebra elements in dense vector rep.","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 26,"comment" : "*: for scalar and linear m.b.m.","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsMultiplicativeElement"],["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 26,"comment" : "*: for scalar and linear g.m.b.i.","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsMultiplicativeElement"],["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 25,"comment" : "*: for floats","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "*: laurent * coeff","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 25,"comment" : "*: coeff * laurent","location" : {"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]],"aka" : ["ProdCoeffLaurpol"]},{"rank" : 25,"comment" : "*: for row vector and Lie object","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 25,"comment" : "*: for Lie object and row vector","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 25,"comment" : "*: for a default list, and a direct product element","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsListDefault"],["IsDirectProductElement"]],"aka" : ["PROD_LIST_SCL_DEFAULT"]},{"rank" : 25,"comment" : "*: for a direct product element, and a default list","location" : {"line" : 439,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsListDefault"]],"aka" : ["PROD_SCL_LIST_DEFAULT"]},{"rank" : 24,"comment" : "*: for two UEALattice elements","location" : {"line" : 2199,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"],["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 24,"comment" : "*: for binary relations on points","location" : {"line" : 1220,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 23,"comment" : "*: FElm*Alg","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsAlgebraicElement"]]},{"rank" : 23,"comment" : "*: Alg*FElm","location" : {"line" : 524,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 23,"comment" : "*: rat-fun * coeff","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 23,"comment" : "*: coeff * rat-fun","location" : {"line" : 1014,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPolynomialFunction"]]},{"rank" : 23,"comment" : "*: additive element with inverse * negative integer","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithInverse"],["IsInt","IsNegRat"]]},{"rank" : 23,"comment" : "*: negative integer * additive element with inverse","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsInt","IsNegRat"],["IsNearAdditiveElementWithInverse"]]},{"rank" : 22,"comment" : "*: for UEALattice element and scalar","location" : {"line" : 1535,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "*: for scalar and UEALattice element","location" : {"line" : 1520,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 22,"comment" : "*: for cochain and scalar","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse","IsZero","Tester(IsZero)"]]},{"rank" : 22,"comment" : "*: for scalar and cochain","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse","IsZero","Tester(IsZero)"],["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 22,"comment" : "*: for s. c. algebra elements","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsSCAlgebraObj"]]},{"rank" : 22,"comment" : "*: fp algebra elements","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"],["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 22,"comment" : "*: for two magma ring elements","location" : {"line" : 360,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 21,"comment" : "*: RightCoset with element","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "*: for a scalar and a checking plist vector","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsPlistVectorRep"]]},{"rank" : 21,"comment" : "*: for a scalar and a plist vector","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsPlistVectorRep"]]},{"rank" : 21,"comment" : "*: for a checking plist vector and a scalar","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "*: for a plist vector and a scalar","location" : {"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "*: for 0-cochain and scalar","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsCochain","IsZeroCochainRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "*: for scalar and 0-cochain","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsCochain","IsZeroCochainRep"]]},{"rank" : 21,"comment" : "*: for ring element, and Lie object in default representation","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 21,"comment" : "*: for Lie object in default representation, and ring element","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 21,"comment" : "*: for s. c. algebra element in dense vector rep. and ring element","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 21,"comment" : "*: for ring element and s. c. algebra element in dense vector rep.","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsSCAlgebraObj","IsDenseCoeffVectorRep"]]},{"rank" : 21,"comment" : "*: additive element * positive integer","location" : {"line" : 551,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElement"],["IsInt","IsPosRat"]]},{"rank" : 21,"comment" : "*: positive integer * additive element","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsInt","IsPosRat"],["IsNearAdditiveElement"]]},{"rank" : 20,"comment" : "*: generic method for n bits pc word rep","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]],"aka" : ["NBitsPcWord_Product"]},{"rank" : 20,"comment" : "*: for cochain and scalar","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsCochain"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 20,"comment" : "*: for scalar and cochain","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsPackedElementDefaultRep","IsCochain"]]},{"rank" : 20,"comment" : "*: for a scalar and an algebra module element in packed representation","location" : {"line" : 676,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 20,"comment" : "*: for an algebra module element in packed representation and a scalar","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsAlgebraModuleElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 20,"comment" : "*: for two magma congruence classes","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsCongruenceClass"],["IsCongruenceClass"]]},{"rank" : 20,"comment" : "*: for permutation and binary relation on points","location" : {"line" : 1252,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsPerm"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 20,"comment" : "*: for binary relation on points and permutation","location" : {"line" : 1246,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsPerm"]]},{"rank" : 19,"comment" : "*: for s. c. algebra element and ring element","location" : {"line" : 397,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 19,"comment" : "*: for ring element and s. c. algebra element","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsSCAlgebraObj"]]},{"rank" : 19,"comment" : "*: fp algebra el*ring el","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 19,"comment" : "*: ring el *fp algebra el","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 19,"comment" : "*: for ring element, and magma ring element","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 19,"comment" : "*: for magma ring element, and ring element","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 19,"comment" : "*: for binary relation on points and transformation","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsTransformation"]]},{"rank" : 19,"comment" : "*: for transformation and binary relation on points","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsTransformation"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 19,"comment" : "*: for zero and total general mapping","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement","IsZero","Tester(IsZero)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)"]]},{"rank" : 18,"comment" : "*: for weight rep element and a scalar","location" : {"line" : 2859,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 18,"comment" : "*: for weight rep element and a scalar","location" : {"line" : 2842,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsWeightRepElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 18,"comment" : "*: for a direct sum element and a scalar","location" : {"line" : 3302,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsDirectSumElement"]]},{"rank" : 18,"comment" : "*: for a direct sum element and a scalar","location" : {"line" : 3294,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsDirectSumElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 18,"comment" : "*: for a scalar and a sparse rowspace element","location" : {"line" : 2929,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsSparseRowSpaceElement"]]},{"rank" : 18,"comment" : "*: for a sparse rowspace element and a scalar","location" : {"line" : 2910,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsSparseRowSpaceElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 18,"comment" : "*: for a scalar and a monomial element","location" : {"line" : 1451,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 18,"comment" : "*: for a monomial element and a scalar","location" : {"line" : 1433,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMonomialElement","IsMonomialElementRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 17,"comment" : "*: List*Alg","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsList"],["IsAlgebraicElement"]]},{"rank" : 17,"comment" : "*: Alg*List","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement"],["IsList"]]},{"rank" : 17,"comment" : "*","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 17,"comment" : "*","location" : {"line" : 3191,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],[]]},{"rank" : 16,"comment" : "*: for two 32 bits assoc. words","location" : {"line" : 655,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["Is32BitsAssocWord"]],"aka" : ["32Bits_Product"]},{"rank" : 16,"comment" : "*: for two 16 bits assoc. words","location" : {"line" : 562,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["Is16BitsAssocWord"]],"aka" : ["16Bits_Product"]},{"rank" : 16,"comment" : "*: for two 8 bits assoc. words","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["Is8BitsAssocWord"]],"aka" : ["8Bits_Product"]},{"rank" : 15,"comment" : "*: univariate * rat","location" : {"line" : 1583,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRat"]]},{"rank" : 15,"comment" : "*: rat * univariate","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRat"],["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "*: for a non-list, and a direct product element","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [[],["IsDirectProductElement"]]},{"rank" : 15,"comment" : "*: for a direct product element, and a non-list","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],[]]},{"rank" : 14,"comment" : "*: for two f.p. group elements","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"],["IsElementOfFpGroup"]]},{"rank" : 14,"comment" : "*: wreath elements","location" : {"line" : 938,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"],["IsWreathProductElement"]]},{"rank" : 14,"comment" : "*: for two elements of magma by mult. table","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"],["IsMagmaByMultiplicationTableObj"]]},{"rank" : 14,"comment" : "*: assoc words in B letter rep","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsBLetterAssocWordRep"],["IsAssociativeElement","IsWord","IsBLetterAssocWordRep"]]},{"rank" : 14,"comment" : "*: assoc words in W letter rep","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsWLetterAssocWordRep"],["IsAssociativeElement","IsWord","IsWLetterAssocWordRep"]]},{"rank" : 14,"comment" : "*: for magma ring element and magma element","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsMultiplicativeElement"]]},{"rank" : 14,"comment" : "*: for magma element and magma ring element","location" : {"line" : 513,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMultiplicativeElement"],["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 14,"comment" : "*: for two elements of a magma with zero adjoined","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"],["IsMagmaWithZeroAdjoinedElementRep"]]},{"rank" : 14,"comment" : "*: for two general mappings","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 13,"comment" : "*: for list and binary relation on points","location" : {"line" : 1264,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsListOrCollection"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 13,"comment" : "*: for binary relation on points and list","location" : {"line" : 1258,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsListOrCollection"]]},{"rank" : 12,"comment" : "*","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"],["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 12,"comment" : "*: for two elements of a fp monoid","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"],["IsElementOfFpMonoid"]]},{"rank" : 12,"comment" : "*: rws-element * rws-element","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 12,"comment" : "*: for two assoc. words in syllable rep","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]],"aka" : ["AssocWord_Product"]},{"rank" : 10,"comment" : "*: for elements of a Rees 0-matrix semigroup","location" : {"line" : 912,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"],["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "*: for elements of a Rees matrix semigroup","location" : {"line" : 891,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"],["IsReesMatrixSemigroupElement"]]},{"rank" : 10,"comment" : "*: for two elements of a f.p. semigroup","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"],["IsElementOfFpSemigroup"]]},{"rank" : 10,"comment" : "*: for two assoc. words: force syllable rep","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 10,"comment" : "*: for two nonassoc. words","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord"],["IsNonassocWord"]]},{"rank" : 10,"comment" : "*: wrapped additive elements","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"],["IsAdditiveElementAsMultiplicativeElementRep"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["*","PROD"]},{"name" : "OneImmutable","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]],[["IsFamily"]],[["IsCollection","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain"]]],"locations" : [{"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "OneImmutable: system getter","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(OneImmutable)"]]},{"rank" : 10015,"comment" : "OneImmutable: for a magma-with-one that has a parent","location" : {"line" : 983,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["Tester(ParentAttr)","IsMagmaWithOne"]]},{"rank" : 136,"comment" : "OneImmutable: partial method for a group (beats to ask family)","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsMagmaWithOne","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 114,"comment" : "OneImmutable: partial method for a magma-with-one (ask family)","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne"]]},{"rank" : 107,"comment" : "OneImmutable: objects with memory","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 56,"comment" : "OneImmutable: 8 bit matrix","location" : {"line" : 755,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 45,"comment" : "OneImmutable: for matrix group, call `IdentityMat'","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "OneImmutable: for GF2 Matrix","location" : {"line" : 925,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsOrdinaryMatrix","IsGF2MatrixRep"]]},{"rank" : 26,"comment" : "OneImmutable: for a partial perm monoid with generators","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagmaWithOne","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 26,"comment" : "OneImmutable: for SC Rings -- try generators","location" : {"line" : 881,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 26,"comment" : "OneImmutable: for finite SC Rings","location" : {"line" : 865,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 22,"comment" : "OneImmutable: for a partial perm semigroup with generators","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "OneImmutable","location" : {"line" : 1034,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 15,"comment" : "OneImmutable: for macfloats","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 15,"comment" : "OneImmutable: for a partial perm coll","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 15,"comment" : "OneImmutable: for a plist matrix","location" : {"line" : 1569,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "OneImmutable: univariate","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["ONE","OneMutable","OneOp"]},{"rank" : 14,"comment" : "OneImmutable: for a magma-with-one","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne"]]},{"rank" : 12,"comment" : "OneImmutable: for floats","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 12,"comment" : "OneImmutable: for binary relation on points and a set of integers","location" : {"line" : 1376,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 11,"comment" : "OneImmutable: One(<congruence class>)","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsCongruenceClass"]]},{"rank" : 11,"comment" : "OneImmutable: for a magma","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]},{"rank" : 8,"comment" : "OneImmutable: for a multiplicative element with one collection","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["CategoryCollections(IsMultiplicativeElementWithOne)"]]},{"rank" : 7,"comment" : "OneImmutable: for an f.p. group element","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"]]},{"rank" : 6,"comment" : "OneImmutable","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"]]},{"rank" : 6,"comment" : "OneImmutable: for an fp monoid element","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]},{"rank" : 6,"comment" : "OneImmutable: for an identity element","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsOne","Tester(IsOne)"]]},{"rank" : 5,"comment" : "OneImmutable","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPadicExtensionNumber)"]]},{"rank" : 5,"comment" : "OneImmutable","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPurePadicNumber)"]]},{"rank" : 5,"comment" : "OneImmutable: for a family of FFEs","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryFamily(IsFFE)"]]},{"rank" : 4,"comment" : "OneImmutable: for family of s. c. algebra elements","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["CategoryFamily(IsSCAlgebraObj)"]]},{"rank" : 4,"comment" : "OneImmutable: for a multiplicative-element-with-one (look at the family)","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]},{"rank" : 3,"comment" : "OneImmutable: for a family of free monoid elements","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 2,"comment" : "OneImmutable: for a family of fp monoid elements","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["CategoryFamily(IsElementOfFpMonoid)"]]},{"rank" : 2,"comment" : "OneImmutable: for a family of f.p. group elements","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"]]},{"rank" : 0,"comment" : "OneImmutable: for any object (call `OneOp' and make immutable)","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OneImmutable)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"],[]],[["IsFamily"],[]],[["IsCollection","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OneImmutable): system setter","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OneImmutable): default method, does nothing","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdentity","SetOne","SetOneAttr","SetOneImmutable"]},{"name" : "Tester(OneImmutable)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdentity","HasOne","HasOneAttr","HasOneImmutable"]},{"name" : "OneMutable","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 1615,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "OneMutable: objects with memory","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 107,"comment" : "OneMutable: straight line program elements","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]]},{"rank" : 56,"comment" : "OneMutable: 8 bit matrix","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 44,"comment" : "OneMutable: for GF2 Matrix","location" : {"line" : 906,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsOrdinaryMatrix","IsGF2MatrixRep"]]},{"rank" : 37,"comment" : "OneMutable: for an ordinary block matrix","location" : {"line" : 597,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 31,"comment" : "OneMutable: for class function","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 25,"comment" : "OneMutable: for a quaternion","location" : {"line" : 784,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsQuaternion","IsSCAlgebraObj"]]},{"rank" : 23,"comment" : "OneMutable: for a partial perm semigroup","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "OneMutable","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 16,"comment" : "OneMutable: Right cosets","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 15,"comment" : "OneMutable: for a partial perm coll","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 15,"comment" : "OneMutable: for a plist matrix","location" : {"line" : 1555,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "OneMutable: univariate","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "OneMutable: for a direct product element","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "OneMutable: for element in Z\/nZ (ModulusRep)","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj"]]},{"rank" : 13,"comment" : "OneMutable: for a transformation collection","location" : {"line" : 354,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 13,"comment" : "OneMutable: for a p-adic number","location" : {"line" : 359,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicNumber"]]},{"rank" : 12,"comment" : "OneMutable: defer to family","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"]]},{"rank" : 12,"comment" : "OneMutable: for UEALattice element","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsPackedElementDefaultRep","IsUEALatticeElement"]]},{"rank" : 11,"comment" : "OneMutable: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj"]]},{"rank" : 11,"comment" : "OneMutable: for s. c. ring element","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "OneMutable: for Lie object","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsLieObject"]]},{"rank" : 11,"comment" : "OneMutable: for s. c. algebra element","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "OneMutable: for an f.p. algebra element","location" : {"line" : 522,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpAlgebra"]]},{"rank" : 11,"comment" : "OneMutable: for magma ring element","location" : {"line" : 639,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "OneMutable","location" : {"line" : 3081,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsListDefault"]]},{"rank" : 9,"comment" : "OneMutable: for an inf. bits assoc. word-with-one","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","IsInfBitsAssocWord"]],"aka" : ["InfBits_One"]},{"rank" : 9,"comment" : "OneMutable: for a 32 bits assoc. word-with-one","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","Is32BitsAssocWord"]]},{"rank" : 9,"comment" : "OneMutable: for a 16 bits assoc. word-with-one","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","Is16BitsAssocWord"]]},{"rank" : 9,"comment" : "OneMutable: for an 8 bits assoc. word-with-one","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","Is8BitsAssocWord"]]},{"rank" : 8,"comment" : "OneMutable: assoc word in B letter rep","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","IsBLetterAssocWordRep"]]},{"rank" : 8,"comment" : "OneMutable: assoc word in W letter rep","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord","IsWLetterAssocWordRep"]]},{"rank" : 8,"comment" : "OneMutable: for an element of a magma with zero adjoined","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsMagmaWithZeroAdjoinedElementRep"]]},{"rank" : 7,"comment" : "OneMutable: for an f.p. group element","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"]]},{"rank" : 7,"comment" : "OneMutable: wreath elements","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"]]},{"rank" : 7,"comment" : "OneMutable: for an element in a magma by mult. table","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"]]},{"rank" : 7,"comment" : "OneMutable: for a general mapping","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 6,"comment" : "OneMutable: for an fp monoid element","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]},{"rank" : 6,"comment" : "OneMutable: rws-element","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 6,"comment" : "OneMutable: for a nonassoc. word-with-one","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsWord","IsNonassocWord"]]},{"rank" : 6,"comment" : "OneMutable: wrapped additive elements","location" : {"line" : 810,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 6,"comment" : "OneMutable: for a (non-copyable) identity element","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsOne","Tester(IsOne)"]]},{"rank" : 4,"comment" : "OneMutable: for finite SC Rings family","location" : {"line" : 890,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["CategoryFamily(IsSCRingObj)"]]},{"rank" : 4,"comment" : "OneMutable: for a multiplicative-element-with-one (look at the family)","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "OneSameMutability","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 1619,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 56,"comment" : "OneSameMutability: 8 bit matrix","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 44,"comment" : "OneSameMutability: for GF2 Matrix","location" : {"line" : 951,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMultiplicativeElementWithOne","IsOrdinaryMatrix","IsGF2MatrixRep"]]},{"rank" : 15,"comment" : "OneSameMutability: for a plist matrix","location" : {"line" : 1544,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 10,"comment" : "OneSameMutability","location" : {"line" : 3091,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsListDefault"]]},{"rank" : 0,"comment" : "OneSameMutability: for an (immutable) object","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ONE_MUT","OneSM","OneSameMutability"]},{"name" : "InverseImmutable","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "InverseImmutable: system getter","location" : {"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(InverseImmutable)"]]},{"rank" : 107,"comment" : "InverseImmutable: straight line program elements","location" : {"line" : 1040,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]],"aka" : ["InverseSLPElm"]},{"rank" : 15,"comment" : "InverseImmutable: for a plist matrix","location" : {"line" : 1606,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 7,"comment" : "InverseImmutable: for an identity element","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsOne","Tester(IsOne)"]]},{"rank" : 0,"comment" : "InverseImmutable: for any object (call `InverseOp' and make immutable)","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InverseImmutable)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"],[]]],"locations" : [{"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InverseImmutable): system setter","location" : {"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InverseImmutable): default method, does nothing","location" : {"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInverse","SetInverseAttr","SetInverseImmutable"]},{"name" : "Tester(InverseImmutable)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 1696,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInverse","HasInverseAttr","HasInverseImmutable"]},{"name" : "InverseMutable","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"]],[["IsTransformation"]]],"locations" : [{"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "InverseMutable: objects with memory","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 107,"comment" : "InverseMutable: straight line program elements","location" : {"line" : 1043,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]]},{"rank" : 56,"comment" : "InverseMutable: 8 bit matrix","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]],"aka" : ["INV_MAT8BIT_MUTABLE"]},{"rank" : 55,"comment" : "InverseMutable: for GF2 matrix","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]],"aka" : ["INV_GF2MAT_MUTABLE"]},{"rank" : 54,"comment" : "InverseMutable: for plain list of GF2 vectors","location" : {"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 44,"comment" : "InverseMutable: for an ordinary matrix over a ring Z\/nZ","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]]},{"rank" : 44,"comment" : "InverseMutable: for default list whose rows are vectors of FFEs","location" : {"line" : 3115,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsListDefault"]]},{"rank" : 34,"comment" : "InverseMutable: for an ordinary block matrix","location" : {"line" : 609,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 31,"comment" : "InverseMutable: for a class function","location" : {"line" : 498,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 29,"comment" : "InverseMutable: for default list over a ring without zero divisors","location" : {"line" : 3130,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["CategoryCollections(CategoryCollections(IsZDFRE))","IsListDefault"]]},{"rank" : 25,"comment" : "InverseMutable: for a quaternion","location" : {"line" : 813,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsQuaternion","IsSCAlgebraObj"]]},{"rank" : 17,"comment" : "InverseMutable","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "InverseMutable: BFElm","location" : {"line" : 593,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgBFRep"]]},{"rank" : 17,"comment" : "InverseMutable: AlgElm","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "InverseMutable: try to express as laurent polynomial","location" : {"line" : 379,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 16,"comment" : "InverseMutable: Right cosets","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsRightCoset"]]},{"rank" : 16,"comment" : "InverseMutable: for element in Z\/nZ (ModulusRep)","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 15,"comment" : "InverseMutable: for a plist matrix","location" : {"line" : 1588,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "InverseMutable: univariate","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "InverseMutable: rational function","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunctionsFamilyElement"]]},{"rank" : 15,"comment" : "InverseMutable: for a direct product element","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"]]},{"rank" : 14,"comment" : "InverseMutable","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"]]},{"rank" : 14,"comment" : "InverseMutable","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"]]},{"rank" : 13,"comment" : "InverseMutable: zmodnze : for element in Z\/nZ(m) (ZModnZepsRep)","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 12,"comment" : "InverseMutable: for binary relation on points and a set of integers","location" : {"line" : 1365,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 11,"comment" : "InverseMutable: for s. c. ring element","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsSCRingObj"]]},{"rank" : 11,"comment" : "InverseMutable: for Lie object","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsLieObject"]]},{"rank" : 11,"comment" : "InverseMutable: for s. c. algebra element","location" : {"line" : 490,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"]]},{"rank" : 11,"comment" : "InverseMutable: for magma ring element","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"]]},{"rank" : 10,"comment" : "InverseMutable: generic method for n bits pc word rep","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]]},{"rank" : 9,"comment" : "InverseMutable: assoc word in B letter rep","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord","IsBLetterAssocWordRep"]]},{"rank" : 9,"comment" : "InverseMutable: assoc word in W letter rep","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord","IsWLetterAssocWordRep"]]},{"rank" : 8,"comment" : "InverseMutable: for an assoc. word with inverse in syllable rep","location" : {"line" : 536,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]],"aka" : ["AssocWordWithInverse_Inverse"]},{"rank" : 7,"comment" : "InverseMutable: for a transformation","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : 7,"comment" : "InverseMutable: for an element of an f.p. group","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"]]},{"rank" : 7,"comment" : "InverseMutable: wreath elements","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsWreathProductElement"]]},{"rank" : 7,"comment" : "InverseMutable: for an element in a magma by mult. table","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagmaByMultiplicationTableObj"]]},{"rank" : 7,"comment" : "InverseMutable: for a general mapping","location" : {"line" : 890,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 7,"comment" : "InverseMutable: wrapped additive elements","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 7,"comment" : "InverseMutable: for a (non-copyable) identity element","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsOne","Tester(IsOne)"]]},{"rank" : 6,"comment" : "InverseMutable: rws-element","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["INV","InverseMutable","InverseOp"]},{"name" : "InverseSameMutability","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 1705,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 56,"comment" : "InverseSameMutability: 8 bit matrix","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","IsSmallList","Tester(IsSmallList)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]],"aka" : ["INV_MAT8BIT_SAME_MUTABILITY"]},{"rank" : 55,"comment" : "InverseSameMutability: for GF2 matrix","location" : {"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsMultiplicativeElementWithInverse","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]],"aka" : ["INV_GF2MAT_SAME_MUTABILITY"]},{"rank" : 54,"comment" : "InverseSameMutability: for plain list of GF2 vectors","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 44,"comment" : "InverseSameMutability: for an ordinary matrix over a ring Z\/nZ","location" : {"line" : 800,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]]},{"rank" : 44,"comment" : "InverseSameMutability: for default list whose rows are vectors of FFEs","location" : {"line" : 3145,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsListDefault"]]},{"rank" : 29,"comment" : "InverseSameMutability: for default list over a ring without zero divisors","location" : {"line" : 3160,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["CategoryCollections(CategoryCollections(IsZDFRE))","IsListDefault"]]},{"rank" : 15,"comment" : "InverseSameMutability: for a plist matrix","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 7,"comment" : "InverseSameMutability: for a (non-copyable) identity element","location" : {"line" : 433,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsOne","Tester(IsOne)"]]},{"rank" : 0,"comment" : "InverseSameMutability: for an (immutable) object","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["INV_MUT","InverseSM","InverseSameMutability"]},{"name" : "\/","type" : "GAP_Operation","filters" : [[["IsExtRElement"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 1715,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 129,"comment" : "\/: x with straight line perm","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsInt","IsPosRat"],["IsPerm","IsStraightLineProgElm"]]},{"rank" : 128,"comment" : "\/: integer and permutation with memory","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsInt"],["IsPerm","IsObjWithMemory"]]},{"rank" : 70,"comment" : "\/: generic method for two groups","location" : {"line" : 2310,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["FactorGroup"]},{"rank" : 68,"comment" : "\/: generic method for two FLMLORs","location" : {"line" : 1129,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 52,"comment" : "\/: generic method for two rings","location" : {"line" : 627,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 51,"comment" : "\/: for two algebra modules","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsAlgebraModule","Tester(IsAlgebraModule)"],["IsAlgebraModule","Tester(IsAlgebraModule)"]]},{"rank" : 51,"comment" : "\/: for FLMLOR and empty list","location" : {"line" : 1121,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 50,"comment" : "\/: generic method for two vector spaces","location" : {"line" : 252,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 49,"comment" : "\/: for char. table, and positions list (call `CharacterTableFactorGroup')","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsList","CategoryCollections(IsCyclotomic)"]],"aka" : ["CharacterTableFactorGroup"]},{"rank" : 47,"comment" : "\/: for a free group and an empty list of relators","location" : {"line" : 1583,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsEmpty","Tester(IsEmpty)"]],"aka" : ["FactorFreeGroupByRelators"]},{"rank" : 47,"comment" : "\/: for a semigroup and a congruence","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]],"aka" : ["FactorSemigroup"]},{"rank" : 46,"comment" : "\/: for free groups and relators","location" : {"line" : 1583,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsCollection"]]},{"rank" : 40,"comment" : "\/: upol\/upol","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 36,"comment" : "\/: for internal FFE and element in Z\/pZ (ModulusRep)","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 36,"comment" : "\/: for element in Z\/pZ (ModulusRep) and internal FFE","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsLogOrderedFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsInternalRep"]]},{"rank" : 36,"comment" : "\/: for FLMLOR and collection","location" : {"line" : 1112,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 34,"comment" : "\/: for integer and element in Z\/nZ (ModulusRep)","location" : {"line" : 518,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 34,"comment" : "\/: for element in Z\/nZ (ModulusRep) and integer","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsInt"]]},{"rank" : 33,"comment" : "\/: for rational and element in Z\/nZ (ModulusRep)","location" : {"line" : 548,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsRat"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 33,"comment" : "\/: for element in Z\/nZ (ModulusRep) and rational","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsRat"]]},{"rank" : 32,"comment" : "\/: for two elements in Z\/nZ (ModulusRep)","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 32,"comment" : "\/: for unknown and cyclotomic","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsCyc"]]},{"rank" : 30,"comment" : "\/","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"],["IsFFE"]]},{"rank" : 30,"comment" : "\/: univariate \/ univariate","location" : {"line" : 1496,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["QUOT_UNIVFUNCS"]},{"rank" : 29,"comment" : "\/: for float and rational","location" : {"line" : 1017,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "\/: for rational and float","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 29,"comment" : "\/: for an algebra module and collection","location" : {"line" : 1261,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsAlgebraModule","Tester(IsAlgebraModule)"],["IsCollection"]]},{"rank" : 29,"comment" : "\/: for magma ring element, and integer","location" : {"line" : 616,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsInt"]],"aka" : ["ElmDivRingElm"]},{"rank" : 28,"comment" : "\/","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"],["IsPurePadicNumber"]]},{"rank" : 27,"comment" : "\/: method for vector space and collection","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsCollection"]]},{"rank" : 25,"comment" : "\/: for floats","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 23,"comment" : "\/: for s. c. algebra element in dense vector rep. and scalar","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj","IsDenseCoeffVectorRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "\/: for a checking plist vector and a scalar","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "\/: for a plist vector and a scalar","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "\/: for s. c. algebra element and scalar","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsSCAlgebraObj"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 20,"comment" : "\/: generic method for n bits pc word rep","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]],"aka" : ["NBitsPcWord_Quotient"]},{"rank" : 19,"comment" : "\/: for magma ring element, and ring element","location" : {"line" : 616,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 18,"comment" : "\/: for a semigroup and an empty list","location" : {"line" : 1212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsEmpty","Tester(IsEmpty)"]],"aka" : ["FactorSemigroupByClosure"]},{"rank" : 18,"comment" : "\/: for multiplicative grvs which might not be IsExtRElement","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector"],["IsMultiplicativeGeneralizedRowVector"]],"aka" : ["QUO_DEFAULT"]},{"rank" : 17,"comment" : "\/: for semigroup and list of pairs","location" : {"line" : 1212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 16,"comment" : "\/: for empty list","location" : {"line" : 1029,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsFloat"]]},{"rank" : 12,"comment" : "\/: rws-element, rws-element","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 12,"comment" : "\/: wrapped additive elements","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"],["IsMultiplicativeElementWithInverse","IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 11,"comment" : "\/: for element, and inj. & surj. general mapping","location" : {"line" : 920,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [[],["IsGeneralMapping","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)"]]},{"rank" : 9,"comment" : "\/: sliced perm","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [[],["IsSlicedPerm"]]},{"rank" : 6,"comment" : "\/: for ext. r elm., and multiplicative-element-with-inverse","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsExtRElement"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["\/","QUO"]},{"name" : "LeftQuotient","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"],["IsExtLElement"]]],"locations" : [{"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "LeftQuotient: for float and rational","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "LeftQuotient: for rational and float","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 25,"comment" : "LeftQuotient: for floats","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 20,"comment" : "LeftQuotient: generic method for n bits pc word rep","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]],"aka" : ["NBitsPcWord_LeftQuotient"]},{"rank" : 18,"comment" : "LeftQuotient","location" : {"line" : 3526,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector"],["IsMultiplicativeGeneralizedRowVector"]]},{"rank" : 12,"comment" : "LeftQuotient: rws-element, rws-element","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 9,"comment" : "LeftQuotient","location" : {"line" : 3544,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsMultiplicativeGeneralizedRowVector"]]},{"rank" : 9,"comment" : "LeftQuotient","location" : {"line" : 3535,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMultiplicativeGeneralizedRowVector"],[]]},{"rank" : 6,"comment" : "LeftQuotient: for multiplicative-element-with-inverse, and ext. l elm.","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsExtLElement"]],"aka" : ["LQUO_DEFAULT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LQUO","LeftQuotient"]},{"name" : "^","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsMultiplicativeElement"]],[["IsListOrCollection"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 1746,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10036,"comment" : "^: for zero mapping and positive integer","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],["IsInt","IsPosRat"]]},{"rank" : 10035,"comment" : "^: for identity mapping and integer","location" : {"line" : 1206,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],["IsInt"]]},{"rank" : 128,"comment" : "^: integer and permutation with memory","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsInt"],["IsPerm","IsObjWithMemory"]]},{"rank" : 128,"comment" : "^: int with straight line perm","location" : {"line" : 1756,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsInt"],["IsPerm","IsStraightLineProgElm"]]},{"rank" : 125,"comment" : "^: objects with memory","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"],["IsInt"]]},{"rank" : 125,"comment" : "^: power straight line program elements","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"],["IsInt"]]},{"rank" : 70,"comment" : "^: conjugacy class of a subgroup of a group","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 66,"comment" : "^: for class function and group","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["InducedClassFunction"]},{"rank" : 62,"comment" : "^: for two class functions (conjugation, trivial action)","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsClassFunction"]]},{"rank" : 60,"comment" : "^: for empty matrix, and integer","location" : {"line" : 1533,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsTable","IsEmpty","Tester(IsEmpty)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt"]]},{"rank" : 59,"comment" : "^","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 55,"comment" : "^: for ring and list of integers (delegate to `FullMatrixModule')","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 52,"comment" : "^: for group homomorphism and group (induction)","location" : {"line" : 2242,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "^: for block matrix and integer","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"],["IsInt"]],"aka" : ["POW_OBJ_INT"]},{"rank" : 51,"comment" : "^: for class function and nearly character table","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 50,"comment" : "^: for class function and positive integer (pointwise powering)","location" : {"line" : 512,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]]},{"rank" : 50,"comment" : "^: using `PROD' for ring element list and ring element table","location" : {"line" : 3171,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 49,"comment" : "^: for matrices, use char. poly. for large exponents","location" : {"line" : 4292,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]],"aka" : ["POW_MAT_INT"]},{"rank" : 44,"comment" : "^: for ANF automorphism and integer","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsInt"]]},{"rank" : 44,"comment" : "^: for a Frobenius automorphism, and an integer","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsInt"]]},{"rank" : 44,"comment" : "^: for ring and integer (delegate to `FullRowModule')","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]],"aka" : ["FullRowModule","FullRowSpace","RowSpace"]},{"rank" : 40,"comment" : "^: generic method for groups and element","location" : {"line" : 2184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]],"aka" : ["ConjugateGroup"]},{"rank" : 38,"comment" : "^: for class function and Galois automorphism","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsGeneralMapping"]]},{"rank" : 38,"comment" : "^: conjugacy class of an element of a group","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMultiplicativeElement"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 37,"comment" : "^: for unknown and zero","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsZeroCyc"]]},{"rank" : 36,"comment" : "^","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsClassFunction"]]},{"rank" : 36,"comment" : "^: for class function and group element","location" : {"line" : 534,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 35,"comment" : "^: orbit of a point under the action of a group","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "^: for unknown and positive integer","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsUnknown"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "^: for element in Z\/nZ (ModulusRep), and integer","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"],["IsInt"]]},{"rank" : 33,"comment" : "^: for binary relation on points and Zero","location" : {"line" : 1345,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsZeroCyc"]]},{"rank" : 33,"comment" : "^: for direct product element, and integer","location" : {"line" : 354,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsDirectProductElement"],["IsInt"]]},{"rank" : 32,"comment" : "^: for a 32 bits assoc. word, and zero (in small integer rep)","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","Is32BitsAssocWord"],["IsZeroCyc","IsSmallIntRep"]],"aka" : ["32Bits_Power"]},{"rank" : 32,"comment" : "^: for a 16 bits assoc. word, and zero (in small integer rep)","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","Is16BitsAssocWord"],["IsZeroCyc","IsSmallIntRep"]],"aka" : ["16Bits_Power"]},{"rank" : 32,"comment" : "^: for an 8 bits assoc. word, and zero (in small integer rep)","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithOne","Is8BitsAssocWord"],["IsZeroCyc","IsSmallIntRep"]],"aka" : ["8Bits_Power"]},{"rank" : 32,"comment" : "^: for Lie object in default representation, and positive integer","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"],["IsInt","IsPosRat"]]},{"rank" : 31,"comment" : "^: for a 32 bits assoc. word, and a small negative integer","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverse","Is32BitsAssocWord"],["IsInt","IsNegRat","IsSmallIntRep"]]},{"rank" : 31,"comment" : "^: for a 16 bits assoc. word, and a small negative integer","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverse","Is16BitsAssocWord"],["IsInt","IsNegRat","IsSmallIntRep"]]},{"rank" : 31,"comment" : "^: for an 8 bits assoc. word, and a small negative integer","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMultiplicativeElementWithInverse","Is8BitsAssocWord"],["IsInt","IsNegRat","IsSmallIntRep"]]},{"rank" : 31,"comment" : "^: for binary relation on points and a positive int","location" : {"line" : 1319,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsInt","IsPosRat"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 30,"comment" : "^: generic method for n bits pc word rep and small int","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsInt","IsSmallIntRep"]],"aka" : ["NBitsPcWord_PowerSmallInt"]},{"rank" : 29,"comment" : "^: for float and rational","location" : {"line" : 1037,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsRat"]]},{"rank" : 29,"comment" : "^: for rational and float","location" : {"line" : 1032,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsRat"],["IsFloat"]]},{"rank" : 29,"comment" : "^: for a 32 bits assoc. word, and a small positive integer","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["IsInt","IsPosRat","IsSmallIntRep"]]},{"rank" : 29,"comment" : "^: for a 16 bits assoc. word, and a small positive integer","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["IsInt","IsPosRat","IsSmallIntRep"]]},{"rank" : 29,"comment" : "^: for an 8 bits assoc. word, and a small positive integer","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["IsInt","IsPosRat","IsSmallIntRep"]]},{"rank" : 27,"comment" : "^: sliced perm","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsInt"],["IsSlicedPerm"]]},{"rank" : 26,"comment" : "^: assoc word in B letter rep and negative integer","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsBLetterAssocWordRep"],["IsInt","IsNegRat"]],"aka" : ["AssocBWorLetRepPow"]},{"rank" : 26,"comment" : "^: assoc word in B letter rep and positive integer","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsBLetterAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "^: assoc word in W letter rep and negative integer","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsWLetterAssocWordRep"],["IsInt","IsNegRat"]],"aka" : ["AssocWWorLetRepPow"]},{"rank" : 26,"comment" : "^: assoc word in W letter rep and positive integer","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsWLetterAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "^: for an assoc. word with inverse in syllable rep, and an integer","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsInt"]],"aka" : ["AssocWordWithInverse_Power"]},{"rank" : 25,"comment" : "^: for floats","location" : {"line" : 1039,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "^: for an assoc. word in syllable rep, and a positive integer","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 25,"comment" : "^: for mult. element-with-one, and zero","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne"],["IsZeroCyc"]]},{"rank" : 24,"comment" : "^: rws-element ^ int","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsInt"]]},{"rank" : 24,"comment" : "^: for mult. element-with-inverse, and negative integer","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsInt","IsNegRat"]]},{"rank" : 22,"comment" : "^: for mult. element, and positive integer","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElement"],["IsInt","IsPosRat"]]},{"rank" : 20,"comment" : "^: generic method for n bits pc word rep","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]],"aka" : ["NBitsPcWord_Conjugate"]},{"rank" : 20,"comment" : "^: catch wrong root taking","location" : {"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElement"],["IsRat"]]},{"rank" : 19,"comment" : "^: for an algebra element and an element of an algebra module","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsPackedElementDefaultRep","IsRightAlgebraModuleElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 19,"comment" : "^: for an algebra element and an element of an algebra module","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsLeftAlgebraModuleElement"]]},{"rank" : 18,"comment" : "^: for a Lie algebra element and a weight rep element","location" : {"line" : 3022,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 17,"comment" : "^: sliced perm","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["IsPerm"],["IsSlicedPerm"]]},{"rank" : 14,"comment" : "^: for two general mappings","location" : {"line" : 822,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 13,"comment" : "^: for binary relation on points and a set of integers","location" : {"line" : 1332,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsListOrCollection"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 12,"comment" : "^: rws-element ^ rws-element","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 12,"comment" : "^: wrapped additive elements","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"],["IsMultiplicativeElementWithInverse","IsAdditiveElementAsMultiplicativeElementRep"]]},{"rank" : 10,"comment" : "^: for two mult.-elm.-with-inverse","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]],"aka" : ["POW_DEFAULT"]},{"rank" : 9,"comment" : "^: sliced perm","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [[],["IsSlicedPermInv"]]},{"rank" : 7,"comment" : "^: for element in the source, and general mapping","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [[],["IsGeneralMapping"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["POW","^"]},{"name" : "Comm","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "Comm: generic method for n bits pc word rep","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"],["IsMultiplicativeElementWithInverseByPolycyclicCollector","IsNBitsPcWordRep"]],"aka" : ["NBitsPcWord_Comm"]},{"rank" : 12,"comment" : "Comm: rws-element, rws-element","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsMultiplicativeElementWithInverseByRws"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 10,"comment" : "Comm: for two mult.-elm.-with-inverse","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]],"aka" : ["COMM_DEFAULT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["COMM","Comm"]},{"name" : "LieBracket","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1802,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "LieBracket: for two ring elements","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LieBracket"]},{"name" : "mod","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 1809,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 58,"comment" : "mod: for `Integers', and integer","location" : {"line" : 1121,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 49,"comment" : "mod: zmodnze : for RingOfIntegralCyclotomics and a positive integer","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["Tester(IsRingOfIntegralCyclotomics)"],["IsInt","IsPosRat"]]},{"rank" : 44,"comment" : "mod: two induced pcgs","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsInducedPcgs"],["IsInducedPcgs"]]},{"rank" : 43,"comment" : "mod: parent pcgs mod induced pcgs","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"],["IsInducedPcgs"]]},{"rank" : 42,"comment" : "mod: two induced pcgs","location" : {"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"],["IsPcgs"]]},{"rank" : 42,"comment" : "mod: two parent pcgs","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"],["IsPcgs"]]},{"rank" : 41,"comment" : "mod: for ord. char. table, and pos. integer (call `BrauerTable')","location" : {"line" : 625,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]],"aka" : ["BrauerTable"]},{"rank" : 40,"comment" : "mod: two modulo pcgs","location" : {"line" : 487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsModuloPcgs"]]},{"rank" : 38,"comment" : "mod: laurent","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["MOD_UPOLY"]},{"rank" : 37,"comment" : "mod: reduction of univariate rational polynomial at a prime","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsInt"]]},{"rank" : 34,"comment" : "mod: AlgElm","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "mod","location" : {"line" : 3507,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 32,"comment" : "mod: reduction of general rational polynomial at a prime","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsInt"]]},{"rank" : 17,"comment" : "mod","location" : {"line" : 3481,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [[],["IsSmallList","Tester(IsSmallList)","IsListDefault"]]},{"rank" : 17,"comment" : "mod","location" : {"line" : 3471,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsSmallList","Tester(IsSmallList)","IsListDefault"],[]]},{"rank" : 0,"comment" : "mod:  fallback method to test conditions","location" : {"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MOD","mod"]},{"name" : "Int","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "Int: system getter","location" : {"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(Int)"]]},{"rank" : 20,"comment" : "Int","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeCharacter"]]},{"rank" : 18,"comment" : "Int: for an integer","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInt"]]},{"rank" : 17,"comment" : "Int: for a rational","location" : {"line" : 953,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsRat"]]},{"rank" : 16,"comment" : "Int: for element in Z\/nZ (ModulusRep)","location" : {"line" : 693,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 16,"comment" : "Int: for a cyclotomic","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"]]},{"rank" : 15,"comment" : "Int: for macfloats","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["INTFLOOR_MACFLOAT"]},{"rank" : 15,"comment" : "Int: for an FFE","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"]]},{"rank" : 5,"comment" : "Int: for strings","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"]],"aka" : ["INT_STRING"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Int)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Int): system setter","location" : {"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Int): default method, does nothing","location" : {"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInt"]},{"name" : "Tester(Int)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1858,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInt"]},{"name" : "Rat","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "Rat: system getter","location" : {"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(Rat)"]]},{"rank" : 16,"comment" : "Rat: for float intervals","location" : {"line" : 528,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatInterval"]]},{"rank" : 13,"comment" : "Rat: for floats","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 5,"comment" : "Rat: for strings","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Rat)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Rat): system setter","location" : {"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Rat): default method, does nothing","location" : {"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRat"]},{"name" : "Tester(Rat)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRat"]},{"name" : "Sqrt","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 1914,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "Sqrt: for a rational","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsRat"]],"aka" : ["ER"]},{"rank" : 15,"comment" : "Sqrt: for macfloats","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["SQRT_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Sqrt"]},{"name" : "Root","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsInt"]]],"locations" : [{"line" : 1930,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "Root: for two integers","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"],["IsInt"]],"aka" : ["RootInt"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Root"]},{"name" : "Log","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsMultiplicativeElement"]],[["IsFloat"]]],"locations" : [{"line" : 1945,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},{"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "Log: for macfloats","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["LOG_MACFLOAT"]}],"2args" : [{"rank" : 36,"comment" : "Log: for two integers","location" : {"line" : 1649,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"],["IsInt"]],"aka" : ["LogInt"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Log"]},{"name" : "Characteristic","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "Characteristic: system getter","location" : {"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(Characteristic)"]]},{"rank" : 30,"comment" : "Characteristic: for sc rings and their subrings","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 17,"comment" : "Characteristic: for internal FFE","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"]],"aka" : ["CHAR_FFE_DEFAULT"]},{"rank" : 15,"comment" : "Characteristic: alg elm","location" : {"line" : 1004,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement"]]},{"rank" : 14,"comment" : "Characteristic: delegate to family (magma)","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 5,"comment" : "Characteristic: for an elements family of a magma ring quotient","location" : {"line" : 1572,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloSpanOfZeroFamily"]]},{"rank" : 4,"comment" : "Characteristic: for an elements family of an fp subalgebra","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpAlgebra)"]]},{"rank" : 4,"comment" : "Characteristic: delegate to family (element)","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement"]]},{"rank" : 2,"comment" : "Characteristic: for family delegate to elements family","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsFamily","Tester(ElementsFamily)"]]},{"rank" : 0,"comment" : "Characteristic: ask the family","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]},{"rank" : -10000,"comment" : "Characteristic: return fail","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Characteristic)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Characteristic): system setter","location" : {"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Characteristic): default method, does nothing","location" : {"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacteristic"]},{"name" : "Tester(Characteristic)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 1985,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacteristic"]},{"name" : "Order","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "Order: system getter","location" : {"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(Order)"]]},{"rank" : 117,"comment" : "Order: straight line program elements","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]]},{"rank" : 107,"comment" : "Order: object with memory","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 45,"comment" : "Order: ordinary matrix of finite field elements","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 45,"comment" : "Order: for a matrix of cyclotomics, with Minkowski kernel","location" : {"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 35,"comment" : "Order: for a group","location" : {"line" : 5459,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 32,"comment" : "Order: generic method for ordinary matrices","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix"]]},{"rank" : 31,"comment" : "Order: for a class function","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 17,"comment" : "Order: for automorphisms","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 17,"comment" : "Order: for an internal FFE","location" : {"line" : 813,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 16,"comment" : "Order: for element in Z\/nZ (ModulusRep)","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 16,"comment" : "Order: for a cyclotomic","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsCyc"]]},{"rank" : 15,"comment" : "Order","location" : {"line" : 1401,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE"]]},{"rank" : 15,"comment" : "Order: for a general FFE","location" : {"line" : 834,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"]]},{"rank" : 8,"comment" : "Order: for a permutation","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]],"aka" : ["ORDER_PERM"]},{"rank" : 7,"comment" : "Order: for a transformation","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]},{"rank" : 7,"comment" : "Order: fp group element","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"]]},{"rank" : 7,"comment" : "Order: method for a pc-element","location" : {"line" : 1345,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]},{"rank" : 7,"comment" : "Order: free group element","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]]},{"rank" : 4,"comment" : "Order: for a mult. element-with-one","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Order)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"],[]]],"locations" : [{"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Order): system setter","location" : {"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Order): default method, does nothing","location" : {"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrder"]},{"name" : "Tester(Order)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithOne"]]],"locations" : [{"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrder"]},{"name" : "NormedRowVector","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElementWithInverse)","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "NormedRowVector: system getter","location" : {"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormedRowVector)"]]},{"rank" : 32,"comment" : "NormedRowVector: for GF(2) vector","location" : {"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElementWithInverse)","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 23,"comment" : "NormedRowVector: for a row vector of scalars","location" : {"line" : 1703,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElementWithInverse)","IsOddAdditiveNestingDepthObject"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormedRowVector)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElementWithInverse)","IsOddAdditiveNestingDepthObject"],[]]],"locations" : [{"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormedRowVector): system setter","location" : {"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormedRowVector): default method, does nothing","location" : {"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormedRowVector"]},{"name" : "Tester(NormedRowVector)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","CategoryCollections(IsMultiplicativeElementWithInverse)","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 2032,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormedRowVector"]},{"name" : "IsCommutativeFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsCommutativeFamily: system getter","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCommutativeFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCommutativeFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsBool"]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCommutativeFamily): system setter","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCommutativeFamily): default method, does nothing","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCommutativeFamily"]},{"name" : "Tester(IsCommutativeFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSkewFieldFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsSkewFieldFamily: system getter","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSkewFieldFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSkewFieldFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsBool"]]],"locations" : [{"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSkewFieldFamily): system setter","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSkewFieldFamily): default method, does nothing","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSkewFieldFamily"]},{"name" : "Tester(IsSkewFieldFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsUFDFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsUFDFamily: system getter","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsUFDFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsUFDFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsBool"]]],"locations" : [{"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsUFDFamily): system setter","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsUFDFamily): default method, does nothing","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsUFDFamily"]},{"name" : "Tester(IsUFDFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AdditiveElementsAsMultiplicativeElementsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AdditiveElementsAsMultiplicativeElementsFamily: system getter","location" : {"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdditiveElementsAsMultiplicativeElementsFamily)"]]},{"rank" : 1,"comment" : "AdditiveElementsAsMultiplicativeElementsFamily: for families of additive elements","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdditiveElementsAsMultiplicativeElementsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdditiveElementsAsMultiplicativeElementsFamily): system setter","location" : {"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdditiveElementsAsMultiplicativeElementsFamily): default method, does nothing","location" : {"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdditiveElementsAsMultiplicativeElementsFamily"]},{"name" : "Tester(AdditiveElementsAsMultiplicativeElementsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 2099,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdditiveElementsAsMultiplicativeElementsFamily"]},{"name" : "AdditiveElementAsMultiplicativeElement","type" : "GAP_Operation","filters" : [[["IsAdditiveElement"]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "AdditiveElementAsMultiplicativeElement: system getter","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdditiveElementAsMultiplicativeElement)"]]},{"rank" : 5,"comment" : "AdditiveElementAsMultiplicativeElement: for additive elements with inverse","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]},{"rank" : 4,"comment" : "AdditiveElementAsMultiplicativeElement: for additive elements with zero","location" : {"line" : 723,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsNearAdditiveElementWithZero","IsAdditiveElement"]]},{"rank" : 3,"comment" : "AdditiveElementAsMultiplicativeElement: for additive elements","location" : {"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdditiveElementAsMultiplicativeElement)","type" : "GAP_Operation","filters" : [[["IsAdditiveElement"],[]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdditiveElementAsMultiplicativeElement): system setter","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdditiveElementAsMultiplicativeElement): default method, does nothing","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdditiveElementAsMultiplicativeElement"]},{"name" : "Tester(AdditiveElementAsMultiplicativeElement)","type" : "GAP_Operation","filters" : [[["IsAdditiveElement"]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdditiveElementAsMultiplicativeElement"]},{"name" : "UnderlyingElement","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 2134,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 103,"comment" : "UnderlyingElement: using 16Bits_ExtRepOfObj","location" : {"line" : 806,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["Is32BitsPcWordRep"]]},{"rank" : 103,"comment" : "UnderlyingElement: using 16Bits_ExtRepOfObj","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["Is16BitsPcWordRep"]]},{"rank" : 103,"comment" : "UnderlyingElement: using 8Bits_ExtRepOfObj","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["Is8BitsPcWordRep"]]},{"rank" : 9,"comment" : "UnderlyingElement: for an element of an f.p. group (default repres.)","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 8,"comment" : "UnderlyingElement: for an element of an fp monoid (default repres.)","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpMonoid"]]},{"rank" : 8,"comment" : "UnderlyingElement","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsPackedElementDefaultRep","IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 7,"comment" : "UnderlyingElement: for an element of an f.p. semigroup (default repres.)","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpSemigroup"]]},{"rank" : 7,"comment" : "UnderlyingElement: for an element of a free group","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]]},{"rank" : 5,"comment" : "UnderlyingElement: wrapped additive elements","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsAdditiveElementAsMultiplicativeElementRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnderlyingElement"]},{"name" : "IsIdempotent","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsIdempotent: system getter","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIdempotent)"]]},{"rank" : 7,"comment" : "IsIdempotent: for a partial perm","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "IsIdempotent: for a transformation","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["IS_IDEM_TRANS"]},{"rank" : 5,"comment" : "IsIdempotent: for a Rees 0-matrix semigroup element","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]},{"rank" : 3,"comment" : "IsIdempotent: multiplicative element","location" : {"line" : 856,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gi"},"filters" : [["IsMultiplicativeElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIdempotent)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsBool"]]],"locations" : [{"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIdempotent): system setter","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIdempotent): default method, does nothing","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIdempotent"]},{"name" : "Tester(IsIdempotent)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/arith.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LargeGaloisField","type" : "GAP_Operation","filters" : [[["IsInt"]],[["IsInt"],["IsInt"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "LargeGaloisField","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [{"rank" : 38,"comment" : "LargeGaloisField","location" : {"line" : 1433,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 38,"comment" : "LargeGaloisField","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LargeGaloisField"]},{"name" : "DegreeFFE","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "DegreeFFE: system getter","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeFFE)"]]},{"rank" : 43,"comment" : "DegreeFFE: for 8 bit vectors","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","Is8BitVectorRep"]]},{"rank" : 42,"comment" : "DegreeFFE: for a matrix of FFEs","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 40,"comment" : "DegreeFFE: for GF(2) vectors","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","IsGF2VectorRep"]]},{"rank" : 31,"comment" : "DegreeFFE: for a row vector of FFEs","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 18,"comment" : "DegreeFFE: for element in Z\/pZ (ModulusRep)","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 17,"comment" : "DegreeFFE","location" : {"line" : 544,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "DegreeFFE: for internal FFE","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"]],"aka" : ["DEGREE_FFE_DEFAULT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"],[]]],"locations" : [{"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeFFE): system setter","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeFFE): default method, does nothing","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeFFE"]},{"name" : "Tester(DegreeFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeFFE"]},{"name" : "LogFFE","type" : "GAP_Operation","filters" : [[["IsFFE"],["IsFFE"]]],"locations" : [{"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "LogFFE: for two elements in Z\/pZ (ModulusRep)","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"],["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 34,"comment" : "LogFFE","location" : {"line" : 1361,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsInternalRep"]]},{"rank" : 34,"comment" : "LogFFE","location" : {"line" : 1361,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "LogFFE","location" : {"line" : 1361,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 34,"comment" : "LogFFE: for two internal FFEs","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]],"aka" : ["LOG_FFE_DEFAULT"]},{"rank" : 30,"comment" : "LogFFE: for two FFEs (in a prime field)","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"],["IsFFE"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LogFFE"]},{"name" : "IntFFE","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IntFFE: system getter","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep","Tester(IntFFE)"]]},{"rank" : 18,"comment" : "IntFFE","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 17,"comment" : "IntFFE","location" : {"line" : 1153,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "IntFFE: for internal FFE","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"]],"aka" : ["INT_FFE_DEFAULT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IntFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"],[]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IntFFE): system setter","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IntFFE): default method, does nothing","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIntFFE"]},{"name" : "Tester(IntFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIntFFE"]},{"name" : "IntFFESymm","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IntFFESymm: system getter","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep","Tester(IntFFESymm)"]]},{"rank" : 31,"comment" : "IntFFESymm: vector","location" : {"line" : 924,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 16,"comment" : "IntFFESymm: Z\/nZ (ModulusRep)","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObj","IsModulusRep"]]},{"rank" : 15,"comment" : "IntFFESymm: FFE","location" : {"line" : 915,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IntFFESymm)","type" : "GAP_Operation","filters" : [[["IsFFE"],[]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IntFFESymm): system setter","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IntFFESymm): default method, does nothing","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIntFFESymm"]},{"name" : "Tester(IntFFESymm)","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIntFFESymm"]},{"name" : "IntVecFFE","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]],"locations" : [{"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 31,"comment" : "IntVecFFE: for a row vector of FFEs","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IntVecFFE"]},{"name" : "AsInternalFFE","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "AsInternalFFE: system getter","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsInternalFFE)"]]},{"rank" : 17,"comment" : "AsInternalFFE","location" : {"line" : 1690,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 17,"comment" : "AsInternalFFE","location" : {"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 16,"comment" : "AsInternalFFE","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj"]]},{"rank" : 0,"comment" : "AsInternalFFE","location" : {"line" : 1146,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsInternalFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"],[]]],"locations" : [{"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsInternalFFE): system setter","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsInternalFFE): default method, does nothing","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsInternalFFE"]},{"name" : "Tester(AsInternalFFE)","type" : "GAP_Operation","filters" : [[["IsFFE"]]],"locations" : [{"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsInternalFFE"]},{"name" : "RootFFE","type" : "GAP_Operation","filters" : [[[],["IsFFE"],[]]],"locations" : [{"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "RootFFE: for modulus rep","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj","IsModulusRep"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "RootFFE: without field","location" : {"line" : 1179,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsFFE"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 88,"comment" : "RootFFE: use field order","location" : {"line" : 1156,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"],["IsInt","IsPosRat"]]},{"rank" : 56,"comment" : "RootFFE: for modulus rep, using RootMod","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt","IsPosRat"],["IsFFE","IsZmodnZObj","IsModulusRep"],["IsInt","IsPosRat"]]},{"rank" : 53,"comment" : "RootFFE: use LogFFE","location" : {"line" : 1173,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsInt","IsPosRat"],["IsFFE"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RootFFE"]},{"name" : "GeneratorsOfDomain","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "GeneratorsOfDomain: system getter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfDomain)"]]},{"rank" : 8,"comment" : "GeneratorsOfDomain","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsList)","IsGeneralizedDomain"]]},{"rank" : 5,"comment" : "GeneratorsOfDomain: for a domain (delegate to `AsList')","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfDomain)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "Setter(GeneratorsOfDomain): for an underlying relation and a list of direct product elements","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)","Tester(UnderlyingGeneralMapping)"],["CategoryCollections(IsDirectProductElement)"]]},{"rank" : 2,"comment" : "Setter(GeneratorsOfDomain): system setter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfDomain): default method, does nothing","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfDomain"]},{"name" : "Tester(GeneratorsOfDomain)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfDomain"]},{"name" : "DomainByGenerators","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "DomainByGenerators: for a collection","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 18,"comment" : "DomainByGenerators: for family and empty list","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsFamily"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 6,"comment" : "DomainByGenerators: for family and list & collection","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsFamily"],["IsList","IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DomainByGenerators"]},{"name" : "ParentAttr","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "ParentAttr: system getter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [["IsAttributeStoringRep","Tester(ParentAttr)"]]},{"rank" : 17,"comment" : "ParentAttr: for a subsemigroup of a Rees 0-matrix semigroup","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "ParentAttr: for a subsemigroup of a Rees matrix semigroup","location" : {"line" : 967,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ParentAttr)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "Setter(ParentAttr): method that calls 'UseSubsetRelation'","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "Setter(ParentAttr): system setter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ParentAttr): default method, does nothing","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAssociatedSemigroup","SetParent","SetParentAttr"]},{"name" : "Tester(ParentAttr)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/domain.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAssociatedSemigroup","HasParent","HasParentAttr"]},{"name" : "IsIntegralCyclotomic","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsIntegralCyclotomic: system getter","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsAttributeStoringRep","Tester(IsIntegralCyclotomic)"]]},{"rank" : 1,"comment" : "IsIntegralCyclotomic: for an internally represented cyclotomic","location" : {"line" : 606,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsInternalRep"]],"aka" : ["IS_CYC_INT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIntegralCyclotomic)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIntegralCyclotomic): system setter","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIntegralCyclotomic): default method, does nothing","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCycInt","SetIsIntegralCyclotomic"]},{"name" : "Tester(IsIntegralCyclotomic)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Conductor","type" : "GAP_Operation","filters" : [[["IsCyc"]],[["CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20019,"comment" : "Conductor: system getter","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["Tester(CONDUCTOR)","IsAttributeStoringRep"]]},{"rank" : 65,"comment" : "Conductor: for abelian number field of cyclotomics","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 2,"comment" : "Conductor: for a list","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CONDUCTOR)","type" : "GAP_Operation","filters" : [[["IsCyc"],[]],[["CategoryCollections(IsCyclotomic)"],[]]],"locations" : [{"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CONDUCTOR): system setter","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CONDUCTOR): default method, does nothing","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConductor"]},{"name" : "Tester(CONDUCTOR)","type" : "GAP_Operation","filters" : [[["IsCyc"]]],"locations" : [{"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConductor"]},{"name" : "GaloisCyc","type" : "GAP_Operation","filters" : [[["IsCyc"],["IsInt"]],[["CategoryCollections(IsCyclotomic)"],["IsInt"]],[["CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsInt"]]],"locations" : [{"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},{"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "GaloisCyc: for a class function, and an integer","location" : {"line" : 1061,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsClassFunction"],["IsInt"]]},{"rank" : 45,"comment" : "GaloisCyc: for a list of cyclotomics, and an integer","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList","CategoryCollections(IsCyclotomic)"],["IsInt"]]},{"rank" : 44,"comment" : "GaloisCyc: for a list of lists of cyclotomics, and an integer","location" : {"line" : 697,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.g"},"filters" : [["IsList","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GALOIS_CYC","GaloisCyc"]},{"name" : "IsEqualSet","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "IsEqualSet: for two internally represented lists","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsList","IsInternalRep"],["IsList","IsInternalRep"]],"aka" : ["IS_EQUAL_SET"]},{"rank" : 4,"comment" : "IsEqualSet: for two lists","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsEqualSet"]},{"name" : "IsSubsetSet","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "IsSubsetSet: for two internally represented lists","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsList","IsInternalRep"],["IsList","IsInternalRep"]],"aka" : ["IS_SUBSET_SET"]},{"rank" : 4,"comment" : "IsSubsetSet: for two lists","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AddSet","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[]]],"locations" : [{"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "AddSet: for mutable internally represented list, and object","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList","IsInternalRep"],[]],"aka" : ["ADD_SET"]},{"rank" : 4,"comment" : "AddSet: for mutable list, and object","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddSet"]},{"name" : "RemoveSet","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "RemoveSet: for mutable internally represented list, and object","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList","IsInternalRep"],[]],"aka" : ["REM_SET"]},{"rank" : 4,"comment" : "RemoveSet: for mutable list, and object","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RemoveSet"]},{"name" : "UniteSet","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "UniteSet: for two internally represented lists, the first being mutable","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList","IsInternalRep"],["IsList","IsInternalRep"]],"aka" : ["UNITE_SET"]},{"rank" : 6,"comment" : "UniteSet: for two lists, the first being mutable","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UniteSet"]},{"name" : "IntersectSet","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"]]],"locations" : [{"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 82,"comment" : "IntersectSet: for two ranges","location" : {"line" : 3973,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsMutable","IsRange","IsRangeRep"],["IsRange","IsRangeRep"]],"aka" : ["INTER_RANGE"]},{"rank" : 40,"comment" : "IntersectSet: for two internally represented lists, the first being mutable","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList","IsInternalRep"],["IsList","IsInternalRep"]],"aka" : ["INTER_SET"]},{"rank" : 6,"comment" : "IntersectSet: for two lists, the first being mutable","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IntersectSet"]},{"name" : "SubtractSet","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "SubtractSet: for two internally represented lists, the first being mutable","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList","IsInternalRep"],["IsList","IsInternalRep"]],"aka" : ["SUBTR_SET"]},{"rank" : 6,"comment" : "SubtractSet: for two lists, the first being mutable","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/lib\/set.gi"},"filters" : [["IsMutable","IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubtractSet"]},{"name" : ".","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : ".: generators of a free group containing the whole family","location" : {"line" : 609,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : 61,"comment" : ".: generators of a s.c. algebra containing the whole family","location" : {"line" : 678,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["Tester(GeneratorsOfLeftOperatorRing)","CategoryCollections(IsSCAlgebraObj)","IsFullSCAlgebra","Tester(IsFullSCAlgebra)"],["IsInt","IsPosRat"]]},{"rank" : 58,"comment" : ".: generators of a magma ring-with-one containing the whole family","location" : {"line" : 3415,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftOperatorRingWithOne)","IsMagmaRingModuloRelations"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : ".: generators of a magma ring containing the whole family","location" : {"line" : 3411,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["Tester(GeneratorsOfLeftOperatorRing)","IsMagmaRingModuloRelations"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : ".: group generators","location" : {"line" : 4390,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 51,"comment" : ".: generators of a whole SC ring","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)","CategoryCollections(IsSCRingObj)"],["IsInt","IsPosRat"]]},{"rank" : 46,"comment" : ".: polynomial ring indeterminates","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"],["IsInt","IsPosRat"]]},{"rank" : 46,"comment" : ".: for an inverse monoid with generators and pos int","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseMonoid)"],["IsInt","IsPosRat"]]},{"rank" : 41,"comment" : ".: for an inverse semigroup with generators and pos int","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : ".: for a monoid with generators and pos int","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 38,"comment" : ".: for class names of a nearly character table","location" : {"line" : 1860,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsInt"]]},{"rank" : 37,"comment" : ".: generators of a free magma-with-one containing the whole family","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","CategoryCollections(IsWord)"],["IsInt","IsPosRat"]]},{"rank" : 35,"comment" : ".: for a semigroup with generators and pos int","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : ".: generators of a free magma containing the whole family","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","Tester(GeneratorsOfMagma)","CategoryCollections(IsWord)"],["IsInt","IsPosRat"]]},{"rank" : 24,"comment" : ".: for a presentation in default representation","location" : {"line" : 1396,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsPresentation","IsPresentationDefaultRep"],["IsInt","IsPosRat"]]},{"rank" : 1,"comment" : ".: for a root system and a record component","location" : {"line" : 2829,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsRootSystem"],[]]},{"rank" : 0,"comment" : ".: catch error","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : [".","ELM_REC"]},{"name" : "IsBound.","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "IsBound.: for a presentation in default representation","location" : {"line" : 1410,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsPresentation","IsPresentationDefaultRep"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "IsBound.: catch error","location" : {"line" : 372,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ISB_REC","IsBound."]},{"name" : ".:=","type" : "GAP_Operation","filters" : [[[],[],[]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 25,"comment" : ".:=: for a mutable presentation in default representation","location" : {"line" : 1425,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsMutable","IsPresentation","IsPresentationDefaultRep"],["IsInt","IsPosRat"],[]]},{"rank" : 0,"comment" : ".:=: catch error","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [[],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : [".:=","ASS_REC"]},{"name" : "Unbind.","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 25,"comment" : "Unbind.: for a mutable presentation in default representation","location" : {"line" : 1440,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsMutable","IsPresentation","IsPresentationDefaultRep"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "Unbind.: catch error","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UNB_REC","Unbind."]},{"name" : "RecNames","type" : "GAP_Operation","filters" : [[["IsRecord"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "RecNames: system getter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsAttributeStoringRep","Tester(RecNames)"]]},{"rank" : 2,"comment" : "RecNames: for a record in internal representation","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsRecord","IsInternalRep"]],"aka" : ["REC_NAMES"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RecNames)","type" : "GAP_Operation","filters" : [[["IsRecord"],[]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RecNames): system setter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RecNames): default method, does nothing","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRecNames"]},{"name" : "Tester(RecNames)","type" : "GAP_Operation","filters" : [[["IsRecord"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/record.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRecNames"]},{"name" : "SUM_FFE_LARGE","type" : "GAP_Operation","filters" : [[["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]],"locations" : [{"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "SUM_FFE_LARGE","location" : {"line" : 723,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]},{"rank" : 30,"comment" : "SUM_FFE_LARGE","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE"],["IsFFE"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SUM_FFE_LARGE"]},{"name" : "DIFF_FFE_LARGE","type" : "GAP_Operation","filters" : [[["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "DIFF_FFE_LARGE","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]},{"rank" : 30,"comment" : "DIFF_FFE_LARGE","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE"],["IsFFE"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DIFF_FFE_LARGE"]},{"name" : "PROD_FFE_LARGE","type" : "GAP_Operation","filters" : [[["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]],"locations" : [{"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "PROD_FFE_LARGE","location" : {"line" : 857,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]},{"rank" : 30,"comment" : "PROD_FFE_LARGE","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE"],["IsFFE"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PROD_FFE_LARGE"]},{"name" : "QUO_FFE_LARGE","type" : "GAP_Operation","filters" : [[["IsFFE"],["IsFFE"]]],"locations" : [{"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "QUO_FFE_LARGE","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]},{"rank" : 34,"comment" : "QUO_FFE_LARGE","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"},"filters" : [["IsFFE","IsInternalRep"],["IsFFE","IsInternalRep"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["QUO_FFE_LARGE"]},{"name" : "ZOp","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "ZOp","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsInt","IsPosRat"]]},{"rank" : 19,"comment" : "ZOp","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [{"rank" : 38,"comment" : "ZOp","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZOp"]},{"name" : "IsRectangularTable","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsRectangularTable: system getter","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"filters" : [["IsAttributeStoringRep","Tester(IsRectangularTable)"]]},{"rank" : 22,"comment" : "IsRectangularTable: kernel method for a plain list","location" : {"line" : 3818,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsTable","IsPlistRep"]],"aka" : ["IsRectangularTablePlist"]},{"rank" : 2,"comment" : "IsRectangularTable: generic","location" : {"line" : 3838,"file" : "\/home\/makx\/ac\/gap\/lib\/list.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRectangularTable)","type" : "GAP_Operation","filters" : [[["IsList"],["IsBool"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRectangularTable): system setter","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRectangularTable): default method, does nothing","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRectangularTable"]},{"name" : "Tester(IsRectangularTable)","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/list.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SmallestGeneratorPerm","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "SmallestGeneratorPerm: system getter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(SmallestGeneratorPerm)"]]},{"rank" : 9,"comment" : "SmallestGeneratorPerm: for internally represented permutation","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"]],"aka" : ["SMALLEST_GENERATOR_PERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SmallestGeneratorPerm)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SmallestGeneratorPerm): system setter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SmallestGeneratorPerm): default method, does nothing","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSmallestGeneratorPerm"]},{"name" : "Tester(SmallestGeneratorPerm)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSmallestGeneratorPerm"]},{"name" : "SmallestMovedPoint","type" : "GAP_Operation","filters" : [[["IsPerm"]],[["CategoryCollections(IsPerm)"]],[["IsList","IsEmpty","Tester(IsEmpty)"]],[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "SmallestMovedPoint: system getter","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(SmallestMovedPoint)"]]},{"rank" : 58,"comment" : "SmallestMovedPoint: for a permutation group","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "SmallestMovedPoint: for a collection of permutations","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)"]],"aka" : ["SmallestMovedPointPerms"]},{"rank" : 23,"comment" : "SmallestMovedPoint: for a partial perm semigroup","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "SmallestMovedPoint: for a transformation semigroup","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "SmallestMovedPoint: for an empty list","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "SmallestMovedPoint: for a partial perm collection","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "SmallestMovedPoint: for a transformation collection","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 8,"comment" : "SmallestMovedPoint: for a permutation","location" : {"line" : 590,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "SmallestMovedPoint: for a partial perm","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "SmallestMovedPoint: for a transformation","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SmallestMovedPoint)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]],[["CategoryCollections(IsPerm)"],[]],[["IsList","IsEmpty","Tester(IsEmpty)"],[]],[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SmallestMovedPoint): system setter","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SmallestMovedPoint): default method, does nothing","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSmallestMovedPoint","SetSmallestMovedPointPerm"]},{"name" : "Tester(SmallestMovedPoint)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSmallestMovedPoint","HasSmallestMovedPointPerm"]},{"name" : "LargestMovedPoint","type" : "GAP_Operation","filters" : [[["IsPerm"]],[["CategoryCollections(IsPerm)"]],[["IsList","IsEmpty","Tester(IsEmpty)"]],[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "LargestMovedPoint: system getter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(LargestMovedPoint)"]]},{"rank" : 110,"comment" : "LargestMovedPoint: permutation with memory","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"]]},{"rank" : 110,"comment" : "LargestMovedPoint: straight line program permutation","location" : {"line" : 1800,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"]]},{"rank" : 58,"comment" : "LargestMovedPoint: for a permutation group","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "LargestMovedPoint: for a collection of permutations","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)"]],"aka" : ["LargestMovedPointPerms"]},{"rank" : 23,"comment" : "LargestMovedPoint: for a partial perm semigroup","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "LargestMovedPoint: for a transformation semigroup","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "LargestMovedPoint: for an empty list","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "LargestMovedPoint: for a partial perm collection","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "LargestMovedPoint: for a transformation collection","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 9,"comment" : "LargestMovedPoint: for an internal permutation","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"]],"aka" : ["LARGEST_MOVED_POINT_PERM"]},{"rank" : 7,"comment" : "LargestMovedPoint: for a partial perm","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["LARGEST_MOVED_PT_PPERM"]},{"rank" : 7,"comment" : "LargestMovedPoint: for a transformation","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["LARGEST_MOVED_PT_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LargestMovedPoint)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]],[["CategoryCollections(IsPerm)"],[]],[["IsList","IsEmpty","Tester(IsEmpty)"],[]],[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LargestMovedPoint): system setter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LargestMovedPoint): default method, does nothing","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLargestMovedPoint","SetLargestMovedPointPerm"]},{"name" : "Tester(LargestMovedPoint)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLargestMovedPoint","HasLargestMovedPointPerm"]},{"name" : "NrMovedPoints","type" : "GAP_Operation","filters" : [[["IsPerm"]],[["CategoryCollections(IsPerm)"]],[["IsList","IsEmpty","Tester(IsEmpty)"]],[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "NrMovedPoints: system getter","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(NrMovedPoints)"]]},{"rank" : 58,"comment" : "NrMovedPoints: for a permutation group","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "NrMovedPoints: for a collection of permutations","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)"]],"aka" : ["NrMovedPointsPerms"]},{"rank" : 23,"comment" : "NrMovedPoints: for a partial perm semigroup","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "NrMovedPoints: for a transformation semigroup","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "NrMovedPoints: for an empty list","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "NrMovedPoints: for a partial perm coll","location" : {"line" : 746,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "NrMovedPoints: for a transformation collection","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 8,"comment" : "NrMovedPoints: for a permutation","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "NrMovedPoints: for a partial perm","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["NR_MOVED_PTS_PPERM"]},{"rank" : 7,"comment" : "NrMovedPoints: for a tranformation","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["NR_MOVED_PTS_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrMovedPoints)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]],[["CategoryCollections(IsPerm)"],[]],[["IsList","IsEmpty","Tester(IsEmpty)"],[]],[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrMovedPoints): system setter","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrMovedPoints): default method, does nothing","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeAction","SetDegreeOperation","SetNrMovedPoints","SetNrMovedPointsPerm"]},{"name" : "Tester(NrMovedPoints)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeAction","HasDegreeOperation","HasNrMovedPoints","HasNrMovedPointsPerm"]},{"name" : "MovedPoints","type" : "GAP_Operation","filters" : [[["IsPerm"]],[["CategoryCollections(IsPerm)"]],[["IsList","IsEmpty","Tester(IsEmpty)"]],[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "MovedPoints: system getter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(MovedPoints)"]]},{"rank" : 58,"comment" : "MovedPoints: for a permutation group","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "MovedPoints: for a collection of permutations","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)"]],"aka" : ["MovedPointsPerms"]},{"rank" : 23,"comment" : "MovedPoints: for a partial perm semigroup","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "MovedPoints: for a transformation semigroup","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "MovedPoints: for an empty list","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 15,"comment" : "MovedPoints: for a partial perm coll","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "MovedPoints: for a transformation collection","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 8,"comment" : "MovedPoints: for a permutation","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "MovedPoints: for a partial perm","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["MOVED_PTS_PPERM"]},{"rank" : 7,"comment" : "MovedPoints: for a tranformation","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["MOVED_PTS_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MovedPoints)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]],[["CategoryCollections(IsPerm)"],[]],[["IsList","IsEmpty","Tester(IsEmpty)"],[]],[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MovedPoints): system setter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MovedPoints): default method, does nothing","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMovedPoints"]},{"name" : "Tester(MovedPoints)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMovedPoints"]},{"name" : "SignPerm","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "SignPerm: system getter","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(SignPerm)"]]},{"rank" : 111,"comment" : "SignPerm: straight line program perms","location" : {"line" : 1960,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"]]},{"rank" : 110,"comment" : "SignPerm: for a permutation with memory","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"]]},{"rank" : 9,"comment" : "SignPerm: for internally represented permutation","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"]],"aka" : ["SIGN_PERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SignPerm)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]]],"locations" : [{"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SignPerm): system setter","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SignPerm): default method, does nothing","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSignPerm"]},{"name" : "Tester(SignPerm)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSignPerm"]},{"name" : "CycleStructurePerm","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "CycleStructurePerm: system getter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep","Tester(CycleStructurePerm)"]]},{"rank" : 111,"comment" : "CycleStructurePerm: straight line program perms","location" : {"line" : 1954,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"]]},{"rank" : 110,"comment" : "CycleStructurePerm: for a permutation with memory","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"]]},{"rank" : 9,"comment" : "CycleStructurePerm: internal","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"]],"aka" : ["CYCLE_STRUCT_PERM"]},{"rank" : 8,"comment" : "CycleStructurePerm: generic method","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CycleStructurePerm)","type" : "GAP_Operation","filters" : [[["IsPerm"],[]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CycleStructurePerm): system setter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CycleStructurePerm): default method, does nothing","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCycleStructurePerm"]},{"name" : "Tester(CycleStructurePerm)","type" : "GAP_Operation","filters" : [[["IsPerm"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCycleStructurePerm"]},{"name" : "RestrictedPerm","type" : "GAP_Operation","filters" : [[["IsPerm"],["IsList"]]],"locations" : [{"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 112,"comment" : "RestrictedPerm: for a permutation with memory and a list of integers","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"],["IsList"]]},{"rank" : 11,"comment" : "RestrictedPerm: use kernel method, test","location" : {"line" : 546,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedPerm"]},{"name" : "RestrictedPermNC","type" : "GAP_Operation","filters" : [[["IsPerm"],["IsList"]]],"locations" : [{"line" : 522,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 113,"comment" : "RestrictedPermNC: straight line program perms","location" : {"line" : 1966,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsList"]]},{"rank" : 11,"comment" : "RestrictedPermNC: kernel method","location" : {"line" : 534,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedPermNC"]},{"name" : "DistancePerms","type" : "GAP_Operation","filters" : [[["IsPerm"],["IsPerm"]]],"locations" : [{"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 18,"comment" : "DistancePerms: for kernel permutations","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm","IsInternalRep"],["IsPerm","IsInternalRep"]],"aka" : ["DISTANCE_PERMS"]},{"rank" : 16,"comment" : "DistancePerms: for general permutations","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/permutat.g"},"filters" : [["IsPerm"],["IsPerm"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DistancePerms"]},{"name" : "AddRowVector","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"],["IsMultiplicativeElement"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsMutable","IsRowVectorObj"],["IsRowVectorObj"]],[["IsMutable","IsRowVectorObj"],["IsRowVectorObj"],[]],[["IsMutable","IsRowVectorObj"],["IsRowVectorObj"],[],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"},{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 86,"comment" : "AddRowVector: kernel method for vecffe (2 args)","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]],"aka" : ["ADD_ROWVECTOR_VECFFES_2"]},{"rank" : 82,"comment" : "AddRowVector: kernel method for plain lists of cyclotomics (2 args)","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(IsCyclotomic)"],["IsDenseList","IsPlistRep","CategoryCollections(IsCyclotomic)"]],"aka" : ["ADD_ROW_VECTOR_2_FAST"]},{"rank" : 50,"comment" : "AddRowVector: For 2 8 bit vectors","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["ADD_ROWVECTOR_VEC8BITS_2"]},{"rank" : 45,"comment" : "AddRowVector: kernel method for GF2 (2 args)","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]],"aka" : ["ADDCOEFFS_GF2VEC_GF2VEC"]},{"rank" : 25,"comment" : "AddRowVector: for two plist vectors","location" : {"line" : 461,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsIntVector"],["IsPlistVectorRep","IsIntVector"]]},{"rank" : 25,"comment" : "AddRowVector: for two checking plist vectors","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsCheckingVector"],["IsPlistVectorRep","IsCheckingVector"]]},{"rank" : 23,"comment" : "AddRowVector: for two plist vectors","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"],["IsPlistVectorRep"]]},{"rank" : 23,"comment" : "AddRowVector: kernel method for GF2 (2 args)","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsGF2VectorRep"],["IsGF2VectorRep"]]},{"rank" : 14,"comment" : "AddRowVector: kernel method for small lists (2 args)","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsSmallList","Tester(IsSmallList)"],["IsDenseList"]],"aka" : ["ADD_ROW_VECTOR_2"]},{"rank" : 8,"comment" : "AddRowVector: generic method (2 args)","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"]]},{"rank" : 2,"comment" : "AddRowVector: error if immutable","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]],"aka" : ["L1_IMMUTABLE_ERROR"]}],"3args" : [{"rank" : 10008,"comment" : "AddRowVector: do nothing if mult is zero","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],["IsZero","Tester(IsZero)"]]},{"rank" : 103,"comment" : "AddRowVector: kernel method for vecffe (3 args)","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsFFE","IsInternalRep"]],"aka" : ["ADD_ROWVECTOR_VECFFES_3"]},{"rank" : 97,"comment" : "AddRowVector: kernel method for plain lists of cyclotomics(3 args)","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(IsCyclotomic)"],["IsDenseList","IsPlistRep","CategoryCollections(IsCyclotomic)"],["IsCyclotomic"]],"aka" : ["ADD_ROW_VECTOR_3_FAST"]},{"rank" : 67,"comment" : "AddRowVector: For 2 8 bit vectors and a field element","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsInternalRep"]],"aka" : ["ADD_ROWVECTOR_VEC8BITS_3"]},{"rank" : 40,"comment" : "AddRowVector: kernel method for GF2 (3 args)","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsGF2VectorRep"],["IsGF2VectorRep"],["IsFFE","IsInternalRep"]],"aka" : ["ADDCOEFFS_GF2VEC_GF2VEC_MULT"]},{"rank" : 25,"comment" : "AddRowVector: for two plist vectors, and a scalar","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsIntVector"],["IsPlistVectorRep","IsIntVector"],[]]},{"rank" : 25,"comment" : "AddRowVector: for two checking plist vectors, and a scalar","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsCheckingVector"],["IsPlistVectorRep","IsCheckingVector"],[]]},{"rank" : 23,"comment" : "AddRowVector: for two plist vectors, and a scalar","location" : {"line" : 467,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"],["IsPlistVectorRep"],[]]},{"rank" : 17,"comment" : "AddRowVector: kernel method for small lists (3 args)","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsSmallList","Tester(IsSmallList)"],["IsDenseList"],["IsMultiplicativeElement"]],"aka" : ["ADD_ROW_VECTOR_3"]},{"rank" : 11,"comment" : "AddRowVector: generic method 3 args","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsMultiplicativeElement"]]},{"rank" : 2,"comment" : "AddRowVector: error if immutable","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[]]}],"4args" : [],"5args" : [{"rank" : 141,"comment" : "AddRowVector: kernel method for vecffe (5 args -- ignores last 2)","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsFFE","IsInternalRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 135,"comment" : "AddRowVector: kernel method for plain lists of cyclotomics","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(IsCyclotomic)"],["IsDenseList","IsPlistRep","CategoryCollections(IsCyclotomic)"],["IsCyclotomic"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],"aka" : ["ADD_ROW_VECTOR_5_FAST"]},{"rank" : 105,"comment" : "AddRowVector: For 2 8 bit vectors and a field element and from and to","location" : {"line" : 546,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsInternalRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],"aka" : ["ADD_ROWVECTOR_VEC8BITS_5"]},{"rank" : 76,"comment" : "AddRowVector: kernel method for GF2 (5 args, last 2 ignored)","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsGF2VectorRep"],["IsGF2VectorRep"],["IsFFE"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 63,"comment" : "AddRowVector: for two integer plist vectors, a scalar, and two positions","location" : {"line" : 531,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsIntVector"],["IsPlistVectorRep","IsIntVector"],[],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 63,"comment" : "AddRowVector: for two checking plist vectors, a scalar, and two positions","location" : {"line" : 518,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsCheckingVector"],["IsPlistVectorRep","IsCheckingVector"],[],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 61,"comment" : "AddRowVector: for two plist vectors, a scalar, and two positions","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"],["IsPlistVectorRep"],[],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "AddRowVector: kernel method for small lists","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsSmallList","Tester(IsSmallList)"],["IsDenseList"],["IsMultiplicativeElement"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],"aka" : ["ADD_ROW_VECTOR_5"]},{"rank" : 49,"comment" : "AddRowVector: generic method","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsMultiplicativeElement"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "AddRowVector: error if immutable","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"6args" : []},"aka" : ["AddRowVector"]},{"name" : "AddCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"],["IsList"],["IsList"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 50,"comment" : "AddCoeffs: two 8 bit vectors","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["ADD_COEFFS_VEC8BIT_2"]},{"rank" : 47,"comment" : "AddCoeffs: GF2 vector and 8 bit vector","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 47,"comment" : "AddCoeffs: 8 bit vector and GF2 vector","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 45,"comment" : "AddCoeffs: for GF2 vectors","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 41,"comment" : "AddCoeffs: for empty list, GF2 vector","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsList","IsEmpty","Tester(IsEmpty)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 22,"comment" : "AddCoeffs: generic method (2nd arg empty)","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 8,"comment" : "AddCoeffs: generic method (2 args)","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"]]},{"rank" : 2,"comment" : "AddCoeffs: error if immutable","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [{"rank" : 65,"comment" : "AddCoeffs: two 8 bit vectors","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE"]],"aka" : ["ADD_COEFFS_VEC8BIT_3"]},{"rank" : 62,"comment" : "AddCoeffs: GF2 vector and 8 bit vector","location" : {"line" : 701,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE"]]},{"rank" : 62,"comment" : "AddCoeffs: 8 bit vector and GF2 vector","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE"]]},{"rank" : 60,"comment" : "AddCoeffs: for GF2 vectors and FFE","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE"]]},{"rank" : 56,"comment" : "AddCoeffs: for empty list, GF2 vector and FFE","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsList","IsEmpty","Tester(IsEmpty)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE"]]},{"rank" : 11,"comment" : "AddCoeffs: generic method 3args","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsMultiplicativeElement"]],"aka" : ["ADDCOEFFS_GENERIC_3"]},{"rank" : 2,"comment" : "AddCoeffs: error if immutable","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[]]}],"4args" : [],"5args" : [{"rank" : 17,"comment" : "AddCoeffs: generic method (5 args)","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsDenseList"],["IsDenseList"],["IsMultiplicativeElement"]]},{"rank" : 2,"comment" : "AddCoeffs: error if immutable","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[],[],[]]}],"6args" : []},"aka" : ["AddCoeffs"]},{"name" : "MultRowVector","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"],["IsList"],["IsList"],["IsMultiplicativeElement"]],[["IsMutable","IsRowVectorObj"],[]],[["IsMutable","IsRowVectorObj"],["IsList"],["IsRowVectorObj"],["IsList"],[]]],"locations" : [{"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"},{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 59,"comment" : "MultRowVector: kernel method for vecffe (2 args)","location" : {"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsPlistRep","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsFFE"]],"aka" : ["MULT_ROWVECTOR_VECFFES"]},{"rank" : 57,"comment" : "MultRowVector: Two argument kernel method for plain list of cyclotomics and an integer","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsPlistRep","IsSmallList","Tester(IsSmallList)","CategoryCollections(IsCyclotomic)"],["IsCyclotomic"]],"aka" : ["MULT_ROW_VECTOR_2_FAST"]},{"rank" : 42,"comment" : "MultRowVector: For an 8 bit vector and an ffe","location" : {"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsInternalRep"]],"aka" : ["MULT_ROWVECTOR_VEC8BITS"]},{"rank" : 38,"comment" : "MultRowVector: for GF(2) vector and char 2 scalar","location" : {"line" : 1573,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE"]],"aka" : ["MULT_ROW_VECTOR_GF2VECS_2"]},{"rank" : 14,"comment" : "MultRowVector: Two argument kernel method for small list","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList","IsSmallList","Tester(IsSmallList)"],["IsMultiplicativeElement"]],"aka" : ["MULT_ROW_VECTOR_2"]},{"rank" : 13,"comment" : "MultRowVector: for a plist vector, and a scalar","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsIntVector"],[]]},{"rank" : 13,"comment" : "MultRowVector: for a checking plist vector, and a scalar","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsCheckingVector"],[]]},{"rank" : 12,"comment" : "MultRowVector: for a plist vector, and a scalar","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"],[]]},{"rank" : 8,"comment" : "MultRowVector: two argument generic method","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsMultiplicativeElement"]]},{"rank" : 2,"comment" : "MultRowVector: error if immutable","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [{"rank" : 29,"comment" : "MultRowVector: for a checking plist vector, a list, a ch. plist vector, a list, a scalar","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep","IsCheckingVector"],["IsList"],["IsPlistVectorRep","IsCheckingVector"],["IsList"],[]]},{"rank" : 27,"comment" : "MultRowVector: for a plist vector, a list, a plist vector, a list, and a scalar","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"],["IsList"],["IsPlistVectorRep"],["IsList"],[]]},{"rank" : 17,"comment" : "MultRowVector: generic method","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsDenseList"],["IsDenseList"],["IsMultiplicativeElement"]]},{"rank" : 2,"comment" : "MultRowVector: error if immutable","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[],[],[]]}],"6args" : []},"aka" : ["MultRowVector"]},{"name" : "CoeffsMod","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "CoeffsMod","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"]]}],"3args" : [{"rank" : 39,"comment" : "CoeffsMod: call `ReduceCoeffsMod'","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CoeffsMod"]},{"name" : "MultCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsList"],["IsInt"],["IsList"],["IsInt"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 46,"comment" : "MultCoeffs: generic method","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList"],["IsDenseList"],["IsInt"],["IsDenseList"],["IsInt"]]},{"rank" : 38,"comment" : "MultCoeffs: error if immutable","location" : {"line" : 585,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],["IsInt"],[],["IsInt"]]}],"6args" : []},"aka" : ["MultCoeffs"]},{"name" : "PowerModCoeffs","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsInt"],["IsList"],["IsInt"]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 24,"comment" : "PowerModCoeffs: default, 3 argt","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"],["IsDenseList"]]}],"4args" : [],"5args" : [{"rank" : 105,"comment" : "PowerModCoeffs: for 8 bit vectors","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"],["IsInt","IsPosRat"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"]]},{"rank" : 99,"comment" : "PowerModCoeffs: for gf2vectors","location" : {"line" : 1853,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"],["IsInt","IsPosRat"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"]]},{"rank" : 60,"comment" : "PowerModCoeffs: default five argt method","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"],["IsInt"],["IsDenseList"],["IsInt"]]}],"6args" : []},"aka" : ["PowerModCoeffs"]},{"name" : "ProductCoeffs","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsList"],["IsInt"]]],"locations" : [{"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 50,"comment" : "ProductCoeffs: 8 bit vectors, kernel method (2 arg)","location" : {"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 44,"comment" : "ProductCoeffs: Gf2 vectors, kernel method (2 arg)","location" : {"line" : 1791,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 6,"comment" : "ProductCoeffs: call PRODUCT_COEFFS_GENERIC_LISTS with lengths","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsDenseList"]]}],"3args" : [],"4args" : [{"rank" : 86,"comment" : "ProductCoeffs: 8 bit vectors, kernel method","location" : {"line" : 810,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"]],"aka" : ["PROD_COEFFS_VEC8BIT"]},{"rank" : 80,"comment" : "ProductCoeffs: GF2 vectors, kernel method","location" : {"line" : 1783,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"]],"aka" : ["PROD_COEFFS_GF2VEC"]},{"rank" : 42,"comment" : "ProductCoeffs: call PRODUCT_COEFFS_GENERIC_LISTS","location" : {"line" : 942,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"],["IsDenseList"],["IsInt"]],"aka" : ["PRODUCT_COEFFS_GENERIC_LISTS"]}],"5args" : [],"6args" : []},"aka" : ["ProductCoeffs"]},{"name" : "ReduceCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsInt"],["IsList"],["IsInt"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 51,"comment" : "ReduceCoeffs: 8 bit vectors, kernel method (2 arg)","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 45,"comment" : "ReduceCoeffs: Gf2 vectors, kernel method (2 arg)","location" : {"line" : 1810,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 8,"comment" : "ReduceCoeffs","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"]]},{"rank" : 2,"comment" : "ReduceCoeffs: error if immutable","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [{"rank" : 87,"comment" : "ReduceCoeffs: 8 bit vectors, kernel method","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"]]},{"rank" : 81,"comment" : "ReduceCoeffs: GF2 vectors, kernel method","location" : {"line" : 1802,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"]],"aka" : ["REDUCE_COEFFS_GF2VEC"]},{"rank" : 72,"comment" : "ReduceCoeffs: for float vectors","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["CategoryCollections(IsFloat)"],["IsInt"],["CategoryCollections(IsFloat)"],["IsInt"]]},{"rank" : 44,"comment" : "ReduceCoeffs: generic method","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsInt"],["IsDenseList"],["IsInt"]]},{"rank" : 38,"comment" : "ReduceCoeffs: error if immutable","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt"],[],["IsInt"]]}],"5args" : [],"6args" : []},"aka" : ["ReduceCoeffs"]},{"name" : "ReduceCoeffsMod","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsInt"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "ReduceCoeffsMod","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsInt"]]},{"rank" : 20,"comment" : "ReduceCoeffsMod: error if immutable","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt"]]}],"3args" : [{"rank" : 41,"comment" : "ReduceCoeffsMod: generic: list, int,int","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsInt"],["IsInt"]]},{"rank" : 38,"comment" : "ReduceCoeffsMod: error if immutable","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt"],["IsInt"]]},{"rank" : 26,"comment" : "ReduceCoeffsMod: generic: list,list,int","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsDenseList"],["IsInt"]]},{"rank" : 20,"comment" : "ReduceCoeffsMod: error if immutable","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],["IsInt"]]}],"4args" : [],"5args" : [{"rank" : 62,"comment" : "ReduceCoeffsMod: generic method (5 args)","location" : {"line" : 698,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsInt"],["IsDenseList"],["IsInt"],["IsInt"]]},{"rank" : 56,"comment" : "ReduceCoeffsMod: error if immutable","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt"],[],["IsInt"],["IsInt"]]}],"6args" : []},"aka" : ["ReduceCoeffsMod"]},{"name" : "QuotRemCoeffs","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsList"],["IsInt"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 51,"comment" : "QuotRemCoeffs: 8 bit vectors, kernel method (2 arg)","location" : {"line" : 905,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 6,"comment" : "QuotRemCoeffs: generic, use list lengths","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsDenseList"]]}],"3args" : [],"4args" : [{"rank" : 87,"comment" : "QuotRemCoeffs: 8 bit vectors, kernel method","location" : {"line" : 893,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt"]]},{"rank" : 80,"comment" : "QuotRemCoeffs: GF2 vectors","location" : {"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt"]],"aka" : ["QUOTREM_COEFFS_GF2VEC"]},{"rank" : 40,"comment" : "QuotRemCoeffs: generic","location" : {"line" : 812,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt"],["IsList"],["IsInt"]]}],"5args" : [],"6args" : []},"aka" : ["QuotRemCoeffs"]},{"name" : "ValuePol","type" : "GAP_Operation","filters" : [[["IsList"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 370,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "ValuePol: special code for rational values","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsRat"]]},{"rank" : 10,"comment" : "ValuePol: generic","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ValuePol"]},{"name" : "RemoveOuterCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],[]]],"locations" : [{"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 43,"comment" : "RemoveOuterCoeffs: vec8bit and zero","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsFFE","IsZero","Tester(IsZero)"]]},{"rank" : 40,"comment" : "RemoveOuterCoeffs: gf2vec and zero","location" : {"line" : 1772,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsFFE","IsZero","Tester(IsZero)"]]},{"rank" : 5,"comment" : "RemoveOuterCoeffs: generic method","location" : {"line" : 835,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],[]],"aka" : ["REMOVE_OUTER_COEFFS_GENERIC"]},{"rank" : 2,"comment" : "RemoveOuterCoeffs: error if immutable","location" : {"line" : 839,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RemoveOuterCoeffs"]},{"name" : "ShiftedCoeffs","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"]]],"locations" : [{"line" : 431,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 35,"comment" : "ShiftedCoeffs: empty list","location" : {"line" : 984,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsInt"]]},{"rank" : 21,"comment" : "ShiftedCoeffs: call ShiftRowVektor","location" : {"line" : 978,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShiftedCoeffs"]},{"name" : "LeftShiftRowVector","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10024,"comment" : "LeftShiftRowVector","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsDenseList"],["IsInt","IsZeroCyc"]]},{"rank" : 45,"comment" : "LeftShiftRowVector: 8bit vector","location" : {"line" : 743,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt","IsPosRat"]],"aka" : ["SHIFT_VEC8BIT_LEFT"]},{"rank" : 42,"comment" : "LeftShiftRowVector: gf2 vector","location" : {"line" : 1729,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt","IsPosRat"]],"aka" : ["SHIFT_LEFT_GF2VEC"]},{"rank" : 24,"comment" : "LeftShiftRowVector: generic method","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsDenseList"],["IsInt","IsPosRat"]]},{"rank" : 2,"comment" : "LeftShiftRowVector: error if immutable","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftShiftRowVector"]},{"name" : "RightShiftRowVector","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "RightShiftRowVector: error if immutable","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[]]}],"3args" : [{"rank" : 10023,"comment" : "RightShiftRowVector","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsInt","IsZeroCyc"],[]]},{"rank" : 62,"comment" : "RightShiftRowVector: 8bit vector, fill with zeros","location" : {"line" : 753,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt","IsPosRat"],["IsFFE","IsZero","Tester(IsZero)"]],"aka" : ["SHIFT_VEC8BIT_RIGHT"]},{"rank" : 59,"comment" : "RightShiftRowVector: gf2 vector, fill with zeros","location" : {"line" : 1739,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt","IsPosRat"],["IsFFE","IsZero","Tester(IsZero)"]],"aka" : ["SHIFT_RIGHT_GF2VEC"]},{"rank" : 23,"comment" : "RightShiftRowVector: generic method","location" : {"line" : 352,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList"],["IsInt","IsPosRat"],[]]},{"rank" : 2,"comment" : "RightShiftRowVector: error if immutable","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightShiftRowVector"]},{"name" : "ShrinkRowVector","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]]],"locations" : [{"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "ShrinkRowVector: 8 bit vector","location" : {"line" : 779,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 23,"comment" : "ShrinkRowVector: GF2 vector","location" : {"line" : 1752,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 4,"comment" : "ShrinkRowVector: generic method","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 2,"comment" : "ShrinkRowVector: error if immutable","location" : {"line" : 403,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShrinkRowVector"]},{"name" : "PadCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"],["IsInt","IsPosRat"],[]],[["IsMutable","IsList","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"},{"line" : 518,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "PadCoeffs: 8 bit vector","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","IsHomogeneousList","CategoryCollections(IsNearAdditiveElementWithZero)","IsNearAdditiveElementWithInverse","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 46,"comment" : "PadCoeffs: for GF2 vector","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsHomogeneousList","CategoryCollections(IsNearAdditiveElementWithZero)","IsNearAdditiveElementWithInverse","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"],["IsInt","IsPosRat"]]},{"rank" : 34,"comment" : "PadCoeffs: pad with zero","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 23,"comment" : "PadCoeffs: pad with supplied value","location" : {"line" : 421,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PadCoeffs"]},{"name" : "WeightVecFFE","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "WeightVecFFE: gf2 vectors","location" : {"line" : 1066,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList","IsGF2VectorRep"]]},{"rank" : 2,"comment" : "WeightVecFFE: generic","location" : {"line" : 1061,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WeightVecFFE"]},{"name" : "DistanceVecFFE","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 50,"comment" : "DistanceVecFFE: 8bit-vector","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]],"aka" : ["DISTANCE_VEC8BIT_VEC8BIT"]},{"rank" : 42,"comment" : "DistanceVecFFE: gf2 vectors","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList","IsGF2VectorRep"],["IsList","IsGF2VectorRep"]],"aka" : ["DIST_GF2VEC_GF2VEC"]},{"rank" : 4,"comment" : "DistanceVecFFE: generic","location" : {"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DistanceVecFFE"]},{"name" : "DistancesDistributionVecFFEsVecFFE","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "DistancesDistributionVecFFEsVecFFE: generic","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DistancesDistributionVecFFEsVecFFE"]},{"name" : "DistancesDistributionMatFFEVecFFE","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["CategoryCollections(IsFFE)"],["IsList"]]],"locations" : [{"line" : 616,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 114,"comment" : "DistancesDistributionMatFFEVecFFE: generic","location" : {"line" : 1218,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DistancesDistributionMatFFEVecFFE"]},{"name" : "AClosestVectorCombinationsMatFFEVecFFE","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["CategoryCollections(IsFFE)"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 150,"comment" : "AClosestVectorCombinationsMatFFEVecFFE: generic","location" : {"line" : 1410,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList"],["IsInt"],["IsInt"]]}],"6args" : []},"aka" : ["AClosestVectorCombinationsMatFFEVecFFE"]},{"name" : "AClosestVectorCombinationsMatFFEVecFFECoords","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["CategoryCollections(IsFFE)"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 150,"comment" : "AClosestVectorCombinationsMatFFEVecFFECoords: generic","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList"],["IsInt"],["IsInt"]]}],"6args" : []},"aka" : ["AClosestVectorCombinationsMatFFEVecFFECoords"]},{"name" : "CosetLeadersMatFFE","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["CategoryCollections(IsFFE)"]]],"locations" : [{"line" : 680,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 112,"comment" : "CosetLeadersMatFFE: generic","location" : {"line" : 1583,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CosetLeadersMatFFE"]},{"name" : "AddToListEntries","type" : "GAP_Operation","filters" : [[["IsMutable","IsList","CategoryCollections(IsExtAElement)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsExtAElement"]]],"locations" : [{"line" : 698,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 100,"comment" : "AddToListEntries: fast kernel method","location" : {"line" : 1598,"file" : "\/home\/makx\/ac\/gap\/lib\/listcoef.gi"},"filters" : [["IsMutable","IsList","IsPlistRep","CategoryCollections(IsCyclotomic)"],["IsRange","IsRangeRep"],["IsInt"]],"aka" : ["ADD_TO_LIST_ENTRIES_PLIST_RANGE"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddToListEntries"]},{"name" : "NewInfoClass","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "NewInfoClass","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsString"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewInfoClass"]},{"name" : "SetInfoLevel","type" : "GAP_Operation","filters" : [[["IsInfoClass"],["IsInt"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "SetInfoLevel","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClass","IsInfoClassListRep"],["IsZeroCyc"]]},{"rank" : 22,"comment" : "SetInfoLevel","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClass","IsInfoClassListRep"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInfoLevel"]},{"name" : "InfoLevel","type" : "GAP_Operation","filters" : [[["IsInfoClass"]]],"locations" : [{"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "InfoLevel","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/info.gi"},"filters" : [["IsInfoClass","IsInfoClassListRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InfoLevel"]},{"name" : "Directory","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "Directory: string","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsString"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Directory"]},{"name" : "Filename","type" : "GAP_Operation","filters" : [[["IsDirectory"],["IsString"]],[["IsList"],["IsString"]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"},{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "Filename: for a list and a string","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsList"],["IsString"]]},{"rank" : 6,"comment" : "Filename: for a directory and a string","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsDirectory"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Filename"]},{"name" : "ExternalFilename","type" : "GAP_Operation","filters" : [[["IsDirectory"],["IsString"]],[["IsList"],["IsString"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"},{"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "ExternalFilename: for a directory list and a string","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsList"],["IsString"]]},{"rank" : 6,"comment" : "ExternalFilename: for a directory and a string","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsDirectory"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExternalFilename"]},{"name" : "Read","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "Read: string","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsString"]]},{"rank" : 2,"comment" : "Read: input stream","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Read"]},{"name" : "ReadAsFunction","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "ReadAsFunction: string","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/files.gi"},"filters" : [["IsString"]]},{"rank" : 2,"comment" : "ReadAsFunction: input stream","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"]],"aka" : ["READ_AS_FUNC_STREAM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReadAsFunction"]},{"name" : "IsEndOfStream","type" : "GAP_Operation","filters" : [[["IsInputStream"]]],"locations" : [{"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "IsEndOfStream: iostream","location" : {"line" : 1582,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 6,"comment" : "IsEndOfStream: input text none","location" : {"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "IsEndOfStream: input text string","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]},{"rank" : 4,"comment" : "IsEndOfStream: input text file","location" : {"line" : 685,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream","IsInputTextFileRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsEndOfStream"]},{"name" : "PositionStream","type" : "GAP_Operation","filters" : [[["IsInputStream"]]],"locations" : [{"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "PositionStream: input text none","location" : {"line" : 829,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "PositionStream: input text file","location" : {"line" : 697,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"]]},{"rank" : 5,"comment" : "PositionStream: input text string","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionStream"]},{"name" : "ReadAll","type" : "GAP_Operation","filters" : [[["IsInputStream"]],[["IsInputStream"],["IsInt"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"},{"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "ReadAll: iostream","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 6,"comment" : "ReadAll: input text none","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "ReadAll: input text file","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"]]},{"rank" : 5,"comment" : "ReadAll: input text string","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]},{"rank" : 2,"comment" : "ReadAll: input stream","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"]]}],"2args" : [{"rank" : 24,"comment" : "ReadAll: iostream","location" : {"line" : 1531,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"],["IsInt"]]},{"rank" : 24,"comment" : "ReadAll: input text none and limit","location" : {"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"],["IsInt"]]},{"rank" : 23,"comment" : "ReadAll: input text file and limit","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"],["IsInt"]]},{"rank" : 23,"comment" : "ReadAll: input text string and limit","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"],["IsInt"]]},{"rank" : 20,"comment" : "ReadAll: input stream, length limit","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReadAll"]},{"name" : "ReadByte","type" : "GAP_Operation","filters" : [[["IsInputStream"]]],"locations" : [{"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "ReadByte: iostream","location" : {"line" : 1455,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 6,"comment" : "ReadByte: input text none","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "ReadByte: input text file","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"]]},{"rank" : 5,"comment" : "ReadByte: input text string","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReadByte"]},{"name" : "ReadLine","type" : "GAP_Operation","filters" : [[["IsInputStream"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "ReadLine: iostream","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 6,"comment" : "ReadLine: input text none","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "ReadLine: input text file","location" : {"line" : 733,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"]]},{"rank" : 5,"comment" : "ReadLine: input text string","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]},{"rank" : 2,"comment" : "ReadLine: generic, call ReadByte","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReadLine"]},{"name" : "ReadAllLine","type" : "GAP_Operation","filters" : [[["IsInputStream"],["IsBool"],["IsFunction"]]],"locations" : [{"line" : 439,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "ReadAllLine: iostream","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream"]]},{"rank" : 2,"comment" : "ReadAllLine: stream","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"]]}],"2args" : [{"rank" : 5,"comment" : "ReadAllLine: iostream,function","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream"],["IsFunction"]]},{"rank" : 5,"comment" : "ReadAllLine: iostream,boolean","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream"],["IsBool"]]},{"rank" : 3,"comment" : "ReadAllLine: stream,function","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"],["IsFunction"]]},{"rank" : 3,"comment" : "ReadAllLine: stream,boolean","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"],["IsBool"]]}],"3args" : [{"rank" : 6,"comment" : "ReadAllLine: iostream,boolean,function","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream"],["IsBool"],["IsFunction"]]},{"rank" : 4,"comment" : "ReadAllLine: stream,boolean,function","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream"],["IsBool"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReadAllLine"]},{"name" : "RewindStream","type" : "GAP_Operation","filters" : [[["IsInputStream"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "RewindStream: input text none","location" : {"line" : 894,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"]]},{"rank" : 5,"comment" : "RewindStream: input text string","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"]]},{"rank" : 3,"comment" : "RewindStream: input text stream","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RewindStream"]},{"name" : "SeekPositionStream","type" : "GAP_Operation","filters" : [[["IsInputStream"],["IsInt"]]],"locations" : [{"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "SeekPositionStream: input text none","location" : {"line" : 905,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextNone","IsInputTextNoneRep"],["IsInt"]]},{"rank" : 23,"comment" : "SeekPositionStream: input text file","location" : {"line" : 769,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"],["IsInt"]]},{"rank" : 23,"comment" : "SeekPositionStream: input text string","location" : {"line" : 593,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStringRep","IsInputTextStream"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SeekPositionStream"]},{"name" : "WriteAll","type" : "GAP_Operation","filters" : [[["IsOutputStream"],["IsString"]]],"locations" : [{"line" : 523,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "WriteAll: iostream","location" : {"line" : 1571,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"],["IsString"]]},{"rank" : 11,"comment" : "WriteAll: output text none","location" : {"line" : 1266,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextNone","IsOutputTextNoneRep"],["IsString"]]},{"rank" : 10,"comment" : "WriteAll: output text file","location" : {"line" : 1158,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextFileRep"],["IsString"]]},{"rank" : 10,"comment" : "WriteAll: output text string","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextStringRep"],["IsString"]]},{"rank" : 7,"comment" : "WriteAll: output stream","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputStream"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WriteAll"]},{"name" : "WriteByte","type" : "GAP_Operation","filters" : [[["IsOutputStream"],["IsInt"]]],"locations" : [{"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "WriteByte: iostream","location" : {"line" : 1554,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"],["IsInt"]]},{"rank" : 24,"comment" : "WriteByte: output text none","location" : {"line" : 1282,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextNone","IsOutputTextNoneRep"],["IsInt"]]},{"rank" : 23,"comment" : "WriteByte: output text file","location" : {"line" : 1144,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextFileRep"],["IsInt"]]},{"rank" : 23,"comment" : "WriteByte: output text string","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextStringRep"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WriteByte"]},{"name" : "WriteLine","type" : "GAP_Operation","filters" : [[["IsOutputStream"],["IsString"]]],"locations" : [{"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "WriteLine: output stream","location" : {"line" : 415,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputStream"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WriteLine"]},{"name" : "CloseStream","type" : "GAP_Operation","filters" : [[["IsStream"]]],"locations" : [{"line" : 593,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "CloseStream: iostream","location" : {"line" : 1595,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 4,"comment" : "CloseStream: output text file","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputStream","IsOutputTextFileRep"]]},{"rank" : 4,"comment" : "CloseStream: input text file","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputStream","IsInputTextFileRep"]]},{"rank" : 2,"comment" : "CloseStream: non-process streams","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsPositionalObjectRep","IsStream"]]},{"rank" : 2,"comment" : "CloseStream: non-process streams","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsComponentObjectRep","IsStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CloseStream"]},{"name" : "InputTextString","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "InputTextString: input text stream from string","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InputTextString"]},{"name" : "InputTextFile","type" : "GAP_Operation","filters" : [[["IsString"]]],"locations" : [{"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "InputTextFile: input text stream from file","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InputTextFile"]},{"name" : "OutputTextString","type" : "GAP_Operation","filters" : [[["IsList"],["IsBool"]]],"locations" : [{"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : -9995,"comment" : "OutputTextString: error catching method, append not given","location" : {"line" : 964,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]}],"2args" : [{"rank" : 3,"comment" : "OutputTextString: output text stream from string","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsList"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OutputTextString"]},{"name" : "OutputTextFile","type" : "GAP_Operation","filters" : [[["IsString"],["IsBool"]]],"locations" : [{"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : -9995,"comment" : "OutputTextFile: error catching method, append not given","location" : {"line" : 1094,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]}],"2args" : [{"rank" : 6,"comment" : "OutputTextFile: output text stream from file","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OutputTextFile"]},{"name" : "SetPrintFormattingStatus","type" : "GAP_Operation","filters" : [[["IsOutputStream"],["IsBool"]]],"locations" : [{"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "SetPrintFormattingStatus: output text none","location" : {"line" : 1304,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextNone","IsOutputTextNoneRep"],["IsBool"]]},{"rank" : 6,"comment" : "SetPrintFormattingStatus: for stdout","location" : {"line" : 1205,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"],["IsBool"]]},{"rank" : 6,"comment" : "SetPrintFormattingStatus: output text file","location" : {"line" : 1181,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextFileRep"],["IsBool"]]},{"rank" : 6,"comment" : "SetPrintFormattingStatus: output text string","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextStringRep"],["IsBool"]]},{"rank" : 3,"comment" : "SetPrintFormattingStatus: for non-text output stream","location" : {"line" : 1628,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputStream"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrintFormattingStatus"]},{"name" : "PrintFormattingStatus","type" : "GAP_Operation","filters" : [[["IsOutputStream"]]],"locations" : [{"line" : 982,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "PrintFormattingStatus: output text none","location" : {"line" : 1291,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextNone","IsOutputTextNoneRep"]]},{"rank" : 5,"comment" : "PrintFormattingStatus: for stdout","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]},{"rank" : 5,"comment" : "PrintFormattingStatus: output text file","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextFileRep"]]},{"rank" : 5,"comment" : "PrintFormattingStatus: output text string","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextStringRep"]]},{"rank" : 2,"comment" : "PrintFormattingStatus: for non-text output stream","location" : {"line" : 1609,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrintFormattingStatus"]},{"name" : "LogTo","type" : "GAP_Operation","filters" : [[["IsOutputStream"]]],"locations" : [{"line" : 1073,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "LogTo: for output file","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]},{"rank" : 3,"comment" : "LogTo: for output stream","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LogTo"]},{"name" : "InputLogTo","type" : "GAP_Operation","filters" : [[["IsOutputStream"]]],"locations" : [{"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "InputLogTo: for output file","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]},{"rank" : 3,"comment" : "InputLogTo: for output stream","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InputLogTo","LogInputTo"]},{"name" : "OutputLogTo","type" : "GAP_Operation","filters" : [[["IsOutputStream"]]],"locations" : [{"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "OutputLogTo: for output file","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsString"]]},{"rank" : 3,"comment" : "OutputLogTo: for output stream","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LogOutputTo","OutputLogTo"]},{"name" : "FileDescriptorOfStream","type" : "GAP_Operation","filters" : [[["IsStream"]]],"locations" : [{"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "FileDescriptorOfStream","location" : {"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputOutputStream","IsInputOutputStreamByPtyRep"]]},{"rank" : 5,"comment" : "FileDescriptorOfStream","location" : {"line" : 1646,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsOutputTextStream","IsOutputTextFileRep"]]},{"rank" : 5,"comment" : "FileDescriptorOfStream","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/streams.gi"},"filters" : [["IsInputTextStream","IsInputTextFileRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FileDescriptorOfStream"]},{"name" : "ImmutableMatrix","type" : "GAP_Operation","filters" : [[[],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 69,"comment" : "ImmutableMatrix: field,gf2","location" : {"line" : 1509,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsGF2MatrixRep"]]},{"rank" : 69,"comment" : "ImmutableMatrix: field,8bit","location" : {"line" : 1501,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["Is8BitMatrixRep"]]},{"rank" : 34,"comment" : "ImmutableMatrix: fieldsize,gf2","location" : {"line" : 1525,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt","IsPosRat"],["IsGF2MatrixRep"]]},{"rank" : 34,"comment" : "ImmutableMatrix: fieldsize,8bit","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt","IsPosRat"],["Is8BitMatrixRep"]]},{"rank" : 30,"comment" : "ImmutableMatrix: general,2","location" : {"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [[],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "ImmutableMatrix: empty","location" : {"line" : 1530,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [[],["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "ImmutableMatrix: transposed empty","location" : {"line" : 1538,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [[],["IsList"]]}],"3args" : [{"rank" : 31,"comment" : "ImmutableMatrix: general,3","location" : {"line" : 1493,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [[],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsBool"]],"aka" : ["DoImmutableMatrix"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImmutableMatrix"]},{"name" : "NumberFFVector","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 62,"comment" : "NumberFFVector: 8bit-vector","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","Is8BitVectorRep"],["IsInt","IsPosRat"]]},{"rank" : 59,"comment" : "NumberFFVector: GF2-Vector","location" : {"line" : 1666,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)","IsGF2VectorRep"],["IsInt","IsPosRat"]]},{"rank" : 50,"comment" : "NumberFFVector: uncompressed vecffe","location" : {"line" : 1688,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NumberFFVector"]},{"name" : "State","type" : "GAP_Operation","filters" : [[["IsRandomSource"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "State: for a real random source","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"]]},{"rank" : 3,"comment" : "State","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsMersenneTwister"]]},{"rank" : 3,"comment" : "State","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGAPRandomSource"]]},{"rank" : 3,"comment" : "State","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGlobalRandomSource"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["State"]},{"name" : "Reset","type" : "GAP_Operation","filters" : [[["IsRandomSource"]],[["IsRandomSource"],[]]],"locations" : [{"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},{"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "Reset: for a real random source","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"]]},{"rank" : 2,"comment" : "Reset","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsRandomSource"]]}],"2args" : [{"rank" : 3,"comment" : "Reset: for a real random source and an object","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"],[]]},{"rank" : 3,"comment" : "Reset","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsMersenneTwister"],[]]},{"rank" : 3,"comment" : "Reset","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGAPRandomSource"],[]]},{"rank" : 3,"comment" : "Reset","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGlobalRandomSource"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Reset"]},{"name" : "Init","type" : "GAP_Operation","filters" : [[["IsRandomSource"]],[["IsRandomSource"],[]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "Init: for a real random source","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsRealRandomSource"],["IsString"]]},{"rank" : 3,"comment" : "Init","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsMersenneTwister"],[]]},{"rank" : 3,"comment" : "Init","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGAPRandomSource"],[]]},{"rank" : 3,"comment" : "Init","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsGlobalRandomSource"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Init"]},{"name" : "RandomSource","type" : "GAP_Operation","filters" : [[["IsOperation"]],[["IsOperation"],[]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"},{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "RandomSource","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsOperation"]]}],"2args" : [{"rank" : 2,"comment" : "RandomSource","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/random.gi"},"filters" : [["IsOperation"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RandomSource"]},{"name" : "SplitString","type" : "GAP_Operation","filters" : [[["IsString"],[],[]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "SplitString: for two strings","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsString"]]},{"rank" : 6,"comment" : "SplitString: for a string and a character","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsChar"]]}],"3args" : [{"rank" : 15,"comment" : "SplitString: for three strings","location" : {"line" : 556,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsString"],["IsString"]],"aka" : ["SplitStringInternal"]},{"rank" : 11,"comment" : "SplitString: for a string, a character and a string","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsChar"],["IsString"]]},{"rank" : 11,"comment" : "SplitString: for two strings and a character","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsString"],["IsChar"]]},{"rank" : 7,"comment" : "SplitString: for a string and two characters","location" : {"line" : 564,"file" : "\/home\/makx\/ac\/gap\/lib\/string.gi"},"filters" : [["IsString"],["IsChar"],["IsChar"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SplitString"]},{"name" : "NewFloat","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -15,"comment" : "NewFloat: for IsIEEE754FloatRep and string","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsString"]]},{"rank" : -15,"comment" : "NewFloat: for IsIEEE754FloatRep and integer","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsInt"]]},{"rank" : -16,"comment" : "NewFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754FloatRep"]]},{"rank" : -16,"comment" : "NewFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsList"]]},{"rank" : -16,"comment" : "NewFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsInfinity"]]},{"rank" : -16,"comment" : "NewFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewFloat"]},{"name" : "MakeFloat","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "MakeFloat: for IsIEEE754FloatRep and integer","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsInt"]]},{"rank" : 31,"comment" : "MakeFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsRat"]]},{"rank" : 30,"comment" : "MakeFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsInfinity"]]},{"rank" : 29,"comment" : "MakeFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754FloatRep"]]},{"rank" : 20,"comment" : "MakeFloat: for IsIEEE754FloatRep and string","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsString"]]},{"rank" : 16,"comment" : "MakeFloat","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MakeFloat"]},{"name" : "Cos","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Cos: system getter","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Cos)"]]},{"rank" : 15,"comment" : "Cos: for macfloats","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["COS_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Cos)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Cos): system setter","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Cos): default method, does nothing","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCos"]},{"name" : "Tester(Cos)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCos"]},{"name" : "Sin","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Sin: system getter","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Sin)"]]},{"rank" : 15,"comment" : "Sin: for macfloats","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["SIN_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Sin)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Sin): system setter","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Sin): default method, does nothing","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSin"]},{"name" : "Tester(Sin)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSin"]},{"name" : "Tan","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Tan: system getter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Tan)"]]},{"rank" : 15,"comment" : "Tan: for macfloats","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["TAN_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Tan)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Tan): system setter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Tan): default method, does nothing","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTan"]},{"name" : "Tester(Tan)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTan"]},{"name" : "Sec","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Sec: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Sec)"]]},{"rank" : 12,"comment" : "Sec: for floats","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Sec)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Sec): system setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Sec): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSec"]},{"name" : "Tester(Sec)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSec"]},{"name" : "Csc","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Csc: system getter","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Csc)"]]},{"rank" : 12,"comment" : "Csc: for floats","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Csc)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Csc): system setter","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Csc): default method, does nothing","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCsc"]},{"name" : "Tester(Csc)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCsc"]},{"name" : "Cot","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Cot: system getter","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Cot)"]]},{"rank" : 12,"comment" : "Cot: for floats","location" : {"line" : 304,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Cot)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Cot): system setter","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Cot): default method, does nothing","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCot"]},{"name" : "Tester(Cot)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCot"]},{"name" : "Asin","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Asin: system getter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Asin)"]]},{"rank" : 15,"comment" : "Asin: for macfloats","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["ASIN_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Asin)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Asin): system setter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Asin): default method, does nothing","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsin"]},{"name" : "Tester(Asin)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsin"]},{"name" : "Acos","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Acos: system getter","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Acos)"]]},{"rank" : 15,"comment" : "Acos: for macfloats","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["ACOS_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Acos)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Acos): system setter","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Acos): default method, does nothing","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAcos"]},{"name" : "Tester(Acos)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAcos"]},{"name" : "Atan","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Atan: system getter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Atan)"]]},{"rank" : 15,"comment" : "Atan: for macfloats","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["ATAN_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Atan)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Atan): system setter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Atan): default method, does nothing","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAtan"]},{"name" : "Tester(Atan)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAtan"]},{"name" : "Cosh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Cosh: system getter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Cosh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Cosh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Cosh): system setter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Cosh): default method, does nothing","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCosh"]},{"name" : "Tester(Cosh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCosh"]},{"name" : "Sinh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Sinh: system getter","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Sinh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Sinh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Sinh): system setter","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Sinh): default method, does nothing","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSinh"]},{"name" : "Tester(Sinh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSinh"]},{"name" : "Tanh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Tanh: system getter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Tanh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Tanh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Tanh): system setter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Tanh): default method, does nothing","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTanh"]},{"name" : "Tester(Tanh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTanh"]},{"name" : "Sech","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Sech: system getter","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Sech)"]]},{"rank" : 12,"comment" : "Sech: for floats","location" : {"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Sech)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Sech): system setter","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Sech): default method, does nothing","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSech"]},{"name" : "Tester(Sech)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSech"]},{"name" : "Csch","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Csch: system getter","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Csch)"]]},{"rank" : 12,"comment" : "Csch: for floats","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Csch)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Csch): system setter","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Csch): default method, does nothing","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCsch"]},{"name" : "Tester(Csch)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCsch"]},{"name" : "Coth","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Coth: system getter","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Coth)"]]},{"rank" : 12,"comment" : "Coth: for floats","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Coth)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Coth): system setter","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Coth): default method, does nothing","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoth"]},{"name" : "Tester(Coth)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoth"]},{"name" : "Asinh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Asinh: system getter","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Asinh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Asinh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Asinh): system setter","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Asinh): default method, does nothing","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsinh"]},{"name" : "Tester(Asinh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsinh"]},{"name" : "Acosh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Acosh: system getter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Acosh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Acosh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Acosh): system setter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Acosh): default method, does nothing","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAcosh"]},{"name" : "Tester(Acosh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAcosh"]},{"name" : "Atanh","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Atanh: system getter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Atanh)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Atanh)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Atanh): system setter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Atanh): default method, does nothing","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAtanh"]},{"name" : "Tester(Atanh)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAtanh"]},{"name" : "Log2","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Log2: system getter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Log2)"]]},{"rank" : 12,"comment" : "Log2: for floats","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Log2)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Log2): system setter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Log2): default method, does nothing","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLog2"]},{"name" : "Tester(Log2)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLog2"]},{"name" : "Log10","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Log10: system getter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Log10)"]]},{"rank" : 12,"comment" : "Log10: for floats","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Log10)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Log10): system setter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Log10): default method, does nothing","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLog10"]},{"name" : "Tester(Log10)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLog10"]},{"name" : "Log1p","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Log1p: system getter","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Log1p)"]]},{"rank" : 12,"comment" : "Log1p: for floats","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Log1p)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Log1p): system setter","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Log1p): default method, does nothing","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLog1p"]},{"name" : "Tester(Log1p)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLog1p"]},{"name" : "Exp","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Exp: system getter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Exp)"]]},{"rank" : 15,"comment" : "Exp: for macfloats","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["EXP_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Exp)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Exp): system setter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Exp): default method, does nothing","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExp"]},{"name" : "Tester(Exp)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExp"]},{"name" : "Exp2","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Exp2: system getter","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Exp2)"]]},{"rank" : 12,"comment" : "Exp2: for floats","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Exp2)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Exp2): system setter","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Exp2): default method, does nothing","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExp2"]},{"name" : "Tester(Exp2)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExp2"]},{"name" : "Exp10","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Exp10: system getter","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Exp10)"]]},{"rank" : 12,"comment" : "Exp10: for floats","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Exp10)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Exp10): system setter","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Exp10): default method, does nothing","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExp10"]},{"name" : "Tester(Exp10)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExp10"]},{"name" : "Expm1","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Expm1: system getter","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Expm1)"]]},{"rank" : 12,"comment" : "Expm1: for floats","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Expm1)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Expm1): system setter","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Expm1): default method, does nothing","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExpm1"]},{"name" : "Tester(Expm1)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExpm1"]},{"name" : "CubeRoot","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "CubeRoot: system getter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(CubeRoot)"]]},{"rank" : 12,"comment" : "CubeRoot: for floats","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CubeRoot)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CubeRoot): system setter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CubeRoot): default method, does nothing","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCubeRoot"]},{"name" : "Tester(CubeRoot)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCubeRoot"]},{"name" : "Square","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Square: system getter","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Square)"]]},{"rank" : 12,"comment" : "Square: for floats","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Square)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Square): system setter","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Square): default method, does nothing","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSquare"]},{"name" : "Tester(Square)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSquare"]},{"name" : "Ceil","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Ceil: system getter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Ceil)"]]},{"rank" : 15,"comment" : "Ceil: for macfloats","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["CEIL_MACFLOAT"]},{"rank" : 12,"comment" : "Ceil: for floats","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Ceil)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Ceil): system setter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Ceil): default method, does nothing","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCeil"]},{"name" : "Tester(Ceil)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCeil"]},{"name" : "Floor","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Floor: system getter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Floor)"]]},{"rank" : 15,"comment" : "Floor: for macfloats","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["FLOOR_MACFLOAT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Floor)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Floor): system setter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Floor): default method, does nothing","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFloor"]},{"name" : "Tester(Floor)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFloor"]},{"name" : "Round","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Round: system getter","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Round)"]]},{"rank" : 15,"comment" : "Round: for macfloats","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["RINT_MACFLOAT"]},{"rank" : 12,"comment" : "Round: for floats","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Round)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Round): system setter","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Round): default method, does nothing","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRound"]},{"name" : "Tester(Round)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRound"]},{"name" : "Trunc","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Trunc: system getter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Trunc)"]]},{"rank" : 12,"comment" : "Trunc: for floats","location" : {"line" : 359,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Trunc)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Trunc): system setter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Trunc): default method, does nothing","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTrunc"]},{"name" : "Tester(Trunc)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTrunc"]},{"name" : "Atan2","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "Atan2: for macfloats","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754FloatRep"]],"aka" : ["ATAN2_MACFLOAT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Atan2"]},{"name" : "FrExp","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "FrExp: system getter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(FrExp)"]]},{"rank" : 15,"comment" : "FrExp: for macfloat","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["FREXP_MACFLOAT"]},{"rank" : 12,"comment" : "FrExp: for floats","location" : {"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FrExp)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FrExp): system setter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FrExp): default method, does nothing","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrExp"]},{"name" : "Tester(FrExp)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrExp"]},{"name" : "LdExp","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsInt"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "LdExp: for macfloat,int","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsInt"]],"aka" : ["LDEXP_MACFLOAT"]},{"rank" : 30,"comment" : "LdExp: for floats","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LdExp"]},{"name" : "Argument","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Argument: system getter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Argument)"]]},{"rank" : 12,"comment" : "Argument: for floats","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Argument)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Argument): system setter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Argument): default method, does nothing","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetArgument"]},{"name" : "Tester(Argument)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasArgument"]},{"name" : "AbsoluteValue","type" : "GAP_Operation","filters" : [[["IsFloat"]],[["IsCyclotomic"]]],"locations" : [{"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AbsoluteValue: system getter","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(AbsoluteValue)"]]},{"rank" : 17,"comment" : "AbsoluteValue: rationals","location" : {"line" : 1298,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsRat"]],"aka" : ["AbsInt"]},{"rank" : 15,"comment" : "AbsoluteValue: for macfloats","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]],"aka" : ["ABS_MACFLOAT"]},{"rank" : 12,"comment" : "AbsoluteValue: for floats","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AbsoluteValue)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]],[["IsCyclotomic"],[]]],"locations" : [{"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AbsoluteValue): system setter","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AbsoluteValue): default method, does nothing","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAbsoluteValue"]},{"name" : "Tester(AbsoluteValue)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAbsoluteValue"]},{"name" : "Hypothenuse","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "Hypothenuse: for macfloats","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754FloatRep"]],"aka" : ["HYPOT_MACFLOAT"]},{"rank" : 25,"comment" : "Hypothenuse: for floats","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]},{"rank" : 25,"comment" : "Hypothenuse: for floats","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Hypothenuse"]},{"name" : "Frac","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Frac: system getter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Frac)"]]},{"rank" : 12,"comment" : "Frac: for floats","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Frac)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Frac): system setter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Frac): default method, does nothing","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrac"]},{"name" : "Tester(Frac)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrac"]},{"name" : "SinCos","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "SinCos: system getter","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(SinCos)"]]},{"rank" : 12,"comment" : "SinCos: for floats","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SinCos)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SinCos): system setter","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SinCos): default method, does nothing","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSinCos"]},{"name" : "Tester(SinCos)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSinCos"]},{"name" : "Erf","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Erf: system getter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Erf)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Erf)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Erf): system setter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Erf): default method, does nothing","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetErf"]},{"name" : "Tester(Erf)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasErf"]},{"name" : "Zeta","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Zeta: system getter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Zeta)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Zeta)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Zeta): system setter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Zeta): default method, does nothing","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetZeta"]},{"name" : "Tester(Zeta)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasZeta"]},{"name" : "Gamma","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Gamma: system getter","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Gamma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Gamma)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Gamma): system setter","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Gamma): default method, does nothing","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGamma"]},{"name" : "Tester(Gamma)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGamma"]},{"name" : "ComplexI","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "ComplexI: system getter","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComplexI)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComplexI)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComplexI): system setter","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComplexI): default method, does nothing","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComplexI"]},{"name" : "Tester(ComplexI)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComplexI"]},{"name" : "PrecisionFloat","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "PrecisionFloat: system getter","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrecisionFloat)"]]},{"rank" : 15,"comment" : "PrecisionFloat: for macfloats","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrecisionFloat)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrecisionFloat): system setter","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrecisionFloat): default method, does nothing","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrecisionFloat"]},{"name" : "Tester(PrecisionFloat)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrecisionFloat"]},{"name" : "SignFloat","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "SignFloat: system getter","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(SignFloat)"]]},{"rank" : 12,"comment" : "SignFloat: for floats","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SignFloat)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SignFloat): system setter","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SignFloat): default method, does nothing","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSignFloat"]},{"name" : "Tester(SignFloat)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSignFloat"]},{"name" : "Sup","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Sup: system getter","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Sup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Sup)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Sup): system setter","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Sup): default method, does nothing","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSup"]},{"name" : "Tester(Sup)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSup"]},{"name" : "Inf","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Inf: system getter","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Inf)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Inf)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Inf): system setter","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Inf): default method, does nothing","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInf"]},{"name" : "Tester(Inf)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInf"]},{"name" : "Mid","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "Mid: system getter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(Mid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Mid)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Mid): system setter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Mid): default method, does nothing","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMid"]},{"name" : "Tester(Mid)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMid"]},{"name" : "AbsoluteDiameter","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AbsoluteDiameter: system getter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(AbsoluteDiameter)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AbsoluteDiameter)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AbsoluteDiameter): system setter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AbsoluteDiameter): default method, does nothing","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAbsoluteDiameter"]},{"name" : "Tester(AbsoluteDiameter)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAbsoluteDiameter"]},{"name" : "RelativeDiameter","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "RelativeDiameter: system getter","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelativeDiameter)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelativeDiameter)","type" : "GAP_Operation","filters" : [[["IsFloat"],[]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RelativeDiameter): system setter","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelativeDiameter): default method, does nothing","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelativeDiameter"]},{"name" : "Tester(RelativeDiameter)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelativeDiameter"]},{"name" : "Overlaps","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Overlaps"]},{"name" : "IsDisjoint","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsDisjoint"]},{"name" : "EqFloat","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "EqFloat: for macfloats","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"],["IsIEEE754FloatRep"]],"aka" : ["EQ_MACFLOAT"]},{"rank" : 25,"comment" : "EqFloat: for floats","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsFloat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EqFloat"]},{"name" : "IncreaseInterval","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IncreaseInterval"]},{"name" : "BlowupInterval","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BlowupInterval"]},{"name" : "BisectInterval","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsFloat"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BisectInterval"]},{"name" : "IsPInfinity","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsPInfinity: system getter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPInfinity)"]]},{"rank" : 12,"comment" : "IsPInfinity: for floats","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsBool"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPInfinity): system setter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPInfinity): default method, does nothing","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPInfinity"]},{"name" : "Tester(IsPInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNInfinity","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsNInfinity: system getter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNInfinity)"]]},{"rank" : 12,"comment" : "IsNInfinity: for floats","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsBool"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNInfinity): system setter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNInfinity): default method, does nothing","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNInfinity"]},{"name" : "Tester(IsNInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsXInfinity","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsXInfinity: system getter","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsXInfinity)"]]},{"rank" : 12,"comment" : "IsXInfinity: for floats","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsXInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsBool"]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsXInfinity): system setter","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsXInfinity): default method, does nothing","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsXInfinity"]},{"name" : "Tester(IsXInfinity)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNaN","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsNaN: system getter","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNaN)"]]},{"rank" : 12,"comment" : "IsNaN: for floats","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNaN)","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsBool"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNaN): system setter","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNaN): default method, does nothing","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNaN"]},{"name" : "Tester(IsNaN)","type" : "GAP_Operation","filters" : [[["IsFloat"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Cyc","type" : "GAP_Operation","filters" : [[["IsFloat"],["IsInt","IsPosRat"]],[["IsFloat"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"},{"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "Cyc: for intervals","location" : {"line" : 610,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatInterval"]]},{"rank" : 12,"comment" : "Cyc: for floats","location" : {"line" : 598,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]}],"2args" : [{"rank" : 34,"comment" : "Cyc: for intervals, degree","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatInterval"],["IsInt","IsPosRat"]]},{"rank" : 31,"comment" : "Cyc: for floats, degree","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Cyc"]},{"name" : "Process","type" : "GAP_Operation","filters" : [[["IsDirectory"],["IsString"],["IsInputStream"],["IsOutputStream"],["IsList"]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 20,"comment" : "Process","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gi"},"filters" : [["IsDirectory","IsDirectoryRep"],["IsString"],["IsInputTextStream","IsInputTextFileRep"],["IsOutputTextStream","IsOutputTextFileRep"],["IsList"]],"aka" : ["EXECUTE_PROCESS_FILE_STREAM"]},{"rank" : 19,"comment" : "Process","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gi"},"filters" : [["IsDirectory","IsDirectoryRep"],["IsString"],["IsInputTextNone"],["IsOutputTextStream","IsOutputTextFileRep"],["IsList"]]},{"rank" : 19,"comment" : "Process","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gi"},"filters" : [["IsDirectory","IsDirectoryRep"],["IsString"],["IsInputTextStream","IsInputTextFileRep"],["IsOutputTextNone"],["IsList"]]},{"rank" : 18,"comment" : "Process","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gi"},"filters" : [["IsDirectory","IsDirectoryRep"],["IsString"],["IsInputTextNone"],["IsOutputTextNone"],["IsList"]]},{"rank" : 16,"comment" : "Process","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/process.gi"},"filters" : [["IsDirectory","IsDirectoryRep"],["IsString"],["IsInputTextStream"],["IsOutputTextStream"],["IsList"]]}],"6args" : []},"aka" : ["Process"]},{"name" : "DirectProductElementsFamily","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "DirectProductElementsFamily: for an empty list","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "DirectProductElementsFamily: for a collection (of families)","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectProductElementsFamily"]},{"name" : "ComponentsOfDirectProductElementsFamily","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsDirectProductElement)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "ComponentsOfDirectProductElementsFamily: system getter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComponentsOfDirectProductElementsFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComponentsOfDirectProductElementsFamily)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsDirectProductElement)"],[]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComponentsOfDirectProductElementsFamily): system setter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComponentsOfDirectProductElementsFamily): default method, does nothing","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComponentsOfDirectProductElementsFamily"]},{"name" : "Tester(ComponentsOfDirectProductElementsFamily)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsDirectProductElement)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComponentsOfDirectProductElementsFamily"]},{"name" : "DirectProductElement","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "DirectProductElement: for a list","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 6,"comment" : "DirectProductElement: for a direct product elements family, and a list","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["CategoryFamily(IsDirectProductElement)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectProductElement"]},{"name" : "DirectProductElementNC","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsDirectProductElement)"],["IsList"]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 6,"comment" : "DirectProductElementNC: for a direct product elements family, and a list","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["CategoryFamily(IsDirectProductElement)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectProductElementNC"]},{"name" : "EmptyRowVector","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "EmptyRowVector: system getter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"},"filters" : [["IsAttributeStoringRep","Tester(EmptyRowVector)"]]},{"rank" : 1,"comment" : "EmptyRowVector: for a family","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EmptyRowVector)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EmptyRowVector): system setter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EmptyRowVector): default method, does nothing","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEmptyRowVector"]},{"name" : "Tester(EmptyRowVector)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/rvecempt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEmptyRowVector"]},{"name" : "GeneratorsOfExtASet","type" : "GAP_Operation","filters" : [[["IsExtASet"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "GeneratorsOfExtASet: system getter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfExtASet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfExtASet)","type" : "GAP_Operation","filters" : [[["IsExtASet"],[]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfExtASet): system setter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfExtASet): default method, does nothing","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfExtASet"]},{"name" : "Tester(GeneratorsOfExtASet)","type" : "GAP_Operation","filters" : [[["IsExtASet"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfExtASet"]},{"name" : "AdditivelyActingDomain","type" : "GAP_Operation","filters" : [[["IsExtASet"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "AdditivelyActingDomain: system getter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdditivelyActingDomain)"]]},{"rank" : 10014,"comment" : "AdditivelyActingDomain: for additive coset in default repres.","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsAdditiveCoset","IsAdditiveCosetDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdditivelyActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtASet"],[]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdditivelyActingDomain): system setter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdditivelyActingDomain): default method, does nothing","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdditivelyActingDomain"]},{"name" : "Tester(AdditivelyActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtASet"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/extaset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdditivelyActingDomain"]},{"name" : "IsLeftActedOnByDivisionRing","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsLeftActedOnByRing"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsLeftActedOnByDivisionRing: system getter","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftActedOnByDivisionRing)"]]},{"rank" : 7,"comment" : "IsLeftActedOnByDivisionRing: method for external left set that is left acted on by a ring","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsLeftActedOnByRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftActedOnByDivisionRing)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsLeftActedOnByRing"],["IsBool"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftActedOnByDivisionRing): system setter","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftActedOnByDivisionRing): default method, does nothing","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftActedOnByDivisionRing"]},{"name" : "Tester(IsLeftActedOnByDivisionRing)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsLeftActedOnByRing"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GeneratorsOfExtLSet","type" : "GAP_Operation","filters" : [[["IsExtLSet"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "GeneratorsOfExtLSet: system getter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfExtLSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfExtLSet)","type" : "GAP_Operation","filters" : [[["IsExtLSet"],[]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfExtLSet): system setter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfExtLSet): default method, does nothing","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfExtLSet","SetGeneratorsOfLeftMagmaIdeal"]},{"name" : "Tester(GeneratorsOfExtLSet)","type" : "GAP_Operation","filters" : [[["IsExtLSet"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfExtLSet","HasGeneratorsOfLeftMagmaIdeal"]},{"name" : "LeftActingDomain","type" : "GAP_Operation","filters" : [[["IsExtLSet"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "LeftActingDomain: system getter","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftActingDomain)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtLSet"],[]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "Setter(LeftActingDomain): method to set also 'IsLeftActedOnByDivisionRing'","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsAttributeStoringRep","IsLeftActedOnByRing"],[]]},{"rank" : 2,"comment" : "Setter(LeftActingDomain): system setter","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftActingDomain): default method, does nothing","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftActingDomain"]},{"name" : "Tester(LeftActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtLSet"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/extlset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftActingDomain"]},{"name" : "GeneratorsOfExtRSet","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "GeneratorsOfExtRSet: system getter","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfExtRSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfExtRSet)","type" : "GAP_Operation","filters" : [[["IsExtRSet"],[]]],"locations" : [{"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfExtRSet): system setter","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfExtRSet): default method, does nothing","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfExtRSet","SetGeneratorsOfRightMagmaIdeal"]},{"name" : "Tester(GeneratorsOfExtRSet)","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfExtRSet","HasGeneratorsOfRightMagmaIdeal"]},{"name" : "RightActingDomain","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "RightActingDomain: system getter","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightActingDomain)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtRSet"],[]]],"locations" : [{"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightActingDomain): system setter","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightActingDomain): default method, does nothing","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightActingDomain"]},{"name" : "Tester(RightActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/extrset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightActingDomain"]},{"name" : "GeneratorsOfExtUSet","type" : "GAP_Operation","filters" : [[["IsExtUSet"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "GeneratorsOfExtUSet: system getter","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfExtUSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfExtUSet)","type" : "GAP_Operation","filters" : [[["IsExtUSet"],[]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfExtUSet): system setter","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfExtUSet): default method, does nothing","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfExtUSet"]},{"name" : "Tester(GeneratorsOfExtUSet)","type" : "GAP_Operation","filters" : [[["IsExtUSet"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfExtUSet"]},{"name" : "UpperActingDomain","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "UpperActingDomain: system getter","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [["IsAttributeStoringRep","Tester(UpperActingDomain)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UpperActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtRSet"],[]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UpperActingDomain): system setter","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UpperActingDomain): default method, does nothing","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUpperActingDomain"]},{"name" : "Tester(UpperActingDomain)","type" : "GAP_Operation","filters" : [[["IsExtRSet"]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/extuset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUpperActingDomain"]},{"name" : "KnowsDictionary","type" : "GAP_Operation","filters" : [[["IsDictionary"],[]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "KnowsDictionary: for lookup sort dictionaries","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsSortLookupDictionary"],[]]},{"rank" : 8,"comment" : "KnowsDictionary: for list lookup dictionaries","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsListLookupDictionary"],[]]},{"rank" : 6,"comment" : "KnowsDictionary: for position dictionaries","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsPositionDictionary"],[]]},{"rank" : 6,"comment" : "KnowsDictionary: for list dictionaries","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsListDictionary"],[]]},{"rank" : 5,"comment" : "KnowsDictionary: for hash tables","location" : {"line" : 873,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KnowsDictionary"]},{"name" : "AddDictionary","type" : "GAP_Operation","filters" : [[["IsMutable","IsDictionary"],[]],[["IsMutable","IsDictionary"],[],[]]],"locations" : [{"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"},{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "AddDictionary: for sort dictionaries","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsSortDictionary"],[]]},{"rank" : 8,"comment" : "AddDictionary: for position dictionaries","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsPositionDictionary"],[]]},{"rank" : 8,"comment" : "AddDictionary: for list dictionaries","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsListDictionary"],[]]},{"rank" : 7,"comment" : "AddDictionary: for hash tables, no value given","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsHash"],[]]}],"3args" : [{"rank" : 12,"comment" : "AddDictionary: for lookup sort dictionaries","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsSortLookupDictionary"],[],[]]},{"rank" : 10,"comment" : "AddDictionary: for hash tables","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsHash","TableHasIntKeyFun","IsSparseHashRep"],[],[]],"aka" : ["HashDictAddDictionary"]},{"rank" : 10,"comment" : "AddDictionary: for lookup position dictionaries","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsPositionLookupDictionary"],[],[]]},{"rank" : 10,"comment" : "AddDictionary: for lookup list dictionaries","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsListLookupDictionary"],[],[]]},{"rank" : 9,"comment" : "AddDictionary: for hash tables","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsHash","IsSparseHashRep"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddDictionary","AddHashEntry"]},{"name" : "RemoveDictionary","type" : "GAP_Operation","filters" : [[["IsMutable","IsDictionary"],[]]],"locations" : [{"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "RemoveDictionary: for lookup list dictionaries","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsListLookupDictionary"],[]]},{"rank" : 8,"comment" : "RemoveDictionary: for list dictionaries","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsMutable","IsListDictionary"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RemoveDictionary"]},{"name" : "LookupDictionary","type" : "GAP_Operation","filters" : [[["IsDictionary"],[]]],"locations" : [{"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "LookupDictionary: for lookup sort dictionaries","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsSortLookupDictionary"],[]]},{"rank" : 8,"comment" : "LookupDictionary: for hash tables that know their int key","location" : {"line" : 895,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","TableHasIntKeyFun","IsSparseHashRep"],[]]},{"rank" : 8,"comment" : "LookupDictionary: for position dictionaries","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsPositionLookupDictionary"],[]]},{"rank" : 8,"comment" : "LookupDictionary: for list dictionaries","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsListLookupDictionary"],[]]},{"rank" : 7,"comment" : "LookupDictionary: for hash tables","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetHashEntry","LookupDictionary"]},{"name" : "ListKeyEnumerator","type" : "GAP_Operation","filters" : [[["IsListDictionary"]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "ListKeyEnumerator: for list dictionaries","location" : {"line" : 397,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsListDictionary"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ListKeyEnumerator"]},{"name" : "PrintHashWithNames","type" : "GAP_Operation","filters" : [[["IsHash"],["IsString"],["IsString"]]],"locations" : [{"line" : 380,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 17,"comment" : "PrintHashWithNames: for sparse hash tables","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsSparseHashRep"],["IsString"],["IsString"]]},{"rank" : 17,"comment" : "PrintHashWithNames: for dense hash tables","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"],["IsString"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrintHashWithNames"]},{"name" : "RandomHashKey","type" : "GAP_Operation","filters" : [[["IsHash"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "RandomHashKey: for sparse hash tables","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"]]},{"rank" : 107,"comment" : "RandomHashKey: for dense hash tables","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsDenseHashRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RandomHashKey"]},{"name" : "HashKeyEnumerator","type" : "GAP_Operation","filters" : [[["IsHash"]]],"locations" : [{"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "HashKeyEnumerator: for sparse hash tables","location" : {"line" : 679,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsHash","IsSparseHashRep"]]},{"rank" : 7,"comment" : "HashKeyEnumerator: for dense hash tables","location" : {"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gi"},"filters" : [["IsDenseHashRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HashKeyEnumerator"]},{"name" : "DenseIntKey","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "DenseIntKey: integers","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "DenseIntKey: default fail","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DenseIntKey"]},{"name" : "SparseIntKey","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 627,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 51,"comment" : "SparseIntKey: for finite Gaussian row spaces","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [["CategoryCollections(CategoryCollections(IsFFE))","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],[]]},{"rank" : 42,"comment" : "SparseIntKey: pcgs element lists: i.e. pcgs","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsList","CategoryCollections(IsElementFinitePolycyclicGroup)"]]},{"rank" : 42,"comment" : "SparseIntKey: for matrices over finite field vector spaces","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["SparseIntKeyVecListAndMatrix"]},{"rank" : 29,"comment" : "SparseIntKey: for row spaces over finite fields","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)"]]},{"rank" : 28,"comment" : "SparseIntKey: for vector listsover finite field vector spaces","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsList","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 25,"comment" : "SparseIntKey: for lists of vectors","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [["CategoryCollections(CategoryCollections(IsFFE))"],[]]},{"rank" : 9,"comment" : "SparseIntKey: kernel pc group elements","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsDataObjectRep","IsElementFinitePolycyclicGroup","IsNBitsPcWordRep"]]},{"rank" : 9,"comment" : "SparseIntKey: permutations, arbitrary domain","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsPerm","IsInternalRep"]]},{"rank" : 7,"comment" : "SparseIntKey: for an object and transformation","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],["IsTransformation"]]},{"rank" : 0,"comment" : "SparseIntKey: defaults to DenseIntKey","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/dicthf.gi"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SparseIntKey"]},{"name" : "GetHashEntryAtLastIndex","type" : "GAP_Operation","filters" : [[["IsHash"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetHashEntryAtLastIndex"]},{"name" : "SetHashEntryAtLastIndex","type" : "GAP_Operation","filters" : [[["IsMutable","IsHash"],[]]],"locations" : [{"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHashEntryAtLastIndex"]},{"name" : "SetHashEntry","type" : "GAP_Operation","filters" : [[["IsMutable","IsHash"],[],[]]],"locations" : [{"line" : 685,"file" : "\/home\/makx\/ac\/gap\/lib\/dict.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHashEntry"]},{"name" : "FamilyRange","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FamilyRange: system getter","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamilyRange)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamilyRange)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"],[]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamilyRange): system setter","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamilyRange): default method, does nothing","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamilyRange"]},{"name" : "Tester(FamilyRange)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamilyRange"]},{"name" : "FamilySource","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FamilySource: system getter","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamilySource)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamilySource)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"],[]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamilySource): system setter","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamilySource): default method, does nothing","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamilySource"]},{"name" : "Tester(FamilySource)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsGeneralMapping)"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamilySource"]},{"name" : "FamiliesOfGeneralMappingsAndRanges","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "FamiliesOfGeneralMappingsAndRanges: system getter","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamiliesOfGeneralMappingsAndRanges)"]]},{"rank" : 1,"comment" : "FamiliesOfGeneralMappingsAndRanges: for a family (return empty list)","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamiliesOfGeneralMappingsAndRanges)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamiliesOfGeneralMappingsAndRanges): system mutable setter","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamiliesOfGeneralMappingsAndRanges): default method, does nothing","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamiliesOfGeneralMappingsAndRanges"]},{"name" : "Tester(FamiliesOfGeneralMappingsAndRanges)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamiliesOfGeneralMappingsAndRanges"]},{"name" : "IsConstantTimeAccessGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsConstantTimeAccessGeneralMapping: system getter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsConstantTimeAccessGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsConstantTimeAccessGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsConstantTimeAccessGeneralMapping): system setter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsConstantTimeAccessGeneralMapping): default method, does nothing","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsConstantTimeAccessGeneralMapping"]},{"name" : "Tester(IsConstantTimeAccessGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsEndoGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsEndoGeneralMapping: system getter","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsEndoGeneralMapping)"]]},{"rank" : 7,"comment" : "IsEndoGeneralMapping: for general mapping","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsEndoGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsEndoGeneralMapping): system setter","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsEndoGeneralMapping): default method, does nothing","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsEndoGeneralMapping"]},{"name" : "Tester(IsEndoGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsTotal","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsTotal: system getter","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTotal)"]]},{"rank" : 10013,"comment" : "IsTotal: get delayed set attribute values","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 23,"comment" : "IsTotal: for ring g.m.b.i.","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 18,"comment" : "IsTotal: via `AsGroupGeneralMappingByImages'","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 10,"comment" : "IsTotal: for a composition mapping","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 9,"comment" : "IsTotal: for an inverse mapping","location" : {"line" : 931,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 7,"comment" : "IsTotal: for a general mapping","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTotal)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTotal): system setter","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTotal): default method, does nothing","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTotal"]},{"name" : "Tester(IsTotal)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSingleValued","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsSingleValued: system getter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSingleValued)"]]},{"rank" : 10013,"comment" : "IsSingleValued: get delayed set attribute values","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 31,"comment" : "IsSingleValued: map from whole fp group or free group to perm, std. gens: test relators","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsToPermGroupGeneralMappingByImages","IsFromFpGroupStdGensGeneralMappingByImages"]]},{"rank" : 30,"comment" : "IsSingleValued: map from whole fp group or free group, given on std. gens: test relators","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsFromFpGroupStdGensGeneralMappingByImages"]]},{"rank" : 30,"comment" : "IsSingleValued: map from fp group or free group on arbitrary gens: rewrite","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["Tester(MappingGeneratorsImages)","IsFromFpGroupGeneralMappingByImages"]]},{"rank" : 26,"comment" : "IsSingleValued: for algebra g.m.b.i.","location" : {"line" : 498,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsPolynomialRingDefaultGeneratorMapping"]]},{"rank" : 25,"comment" : "IsSingleValued: for algebra g.m.b.i.","location" : {"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 24,"comment" : "IsSingleValued: for sc ring g.m.b.i.","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsSCRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "IsSingleValued: for left module g.m.b.i.","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 19,"comment" : "IsSingleValued","location" : {"line" : 991,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages"]]},{"rank" : 18,"comment" : "IsSingleValued: for GMBPCGS: test relations","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGroupGeneralMappingByPcgs"]]},{"rank" : 18,"comment" : "IsSingleValued: via `AsGroupGeneralMappingByImages'","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 13,"comment" : "IsSingleValued: method for a gen. mapping that respects add. and add. inverses","location" : {"line" : 628,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 13,"comment" : "IsSingleValued: method for a gen. mapping that respects mult. and inverses","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 10,"comment" : "IsSingleValued: for a composition mapping","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 9,"comment" : "IsSingleValued: for an inverse mapping","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 7,"comment" : "IsSingleValued: for a general mapping","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSingleValued)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSingleValued): system setter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSingleValued): default method, does nothing","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSingleValued"]},{"name" : "Tester(IsSingleValued)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsInjective","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsInjective: system getter","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInjective)"]]},{"rank" : 10013,"comment" : "IsInjective: get delayed set attribute values","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 25,"comment" : "IsInjective: for algebra g.m.b.i.","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "IsInjective: for a linear action homomorphism","location" : {"line" : 3397,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsLinearActionHomomorphism"]]},{"rank" : 23,"comment" : "IsInjective: method for homs from pc group","location" : {"line" : 488,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]]},{"rank" : 23,"comment" : "IsInjective: for a field homomorphism","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 23,"comment" : "IsInjective: for ring g.m.b.i.","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "IsInjective: for left module m.b.m.","location" : {"line" : 1201,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 23,"comment" : "IsInjective: for left module g.m.b.i.","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 18,"comment" : "IsInjective: via `AsGroupGeneralMappingByImages'","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "IsInjective: for GHBI","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "IsInjective: for zero mapping","location" : {"line" : 1672,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 13,"comment" : "IsInjective: method for a gen. mapping that respects add. and add. inverses","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 13,"comment" : "IsInjective: method for a gen. mapping that respects mult. and one","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 11,"comment" : "IsInjective: for a mapping","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 10,"comment" : "IsInjective: for a composition mapping","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 9,"comment" : "IsInjective: for an inverse mapping","location" : {"line" : 909,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 7,"comment" : "IsInjective: for a general mapping","location" : {"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInjective)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInjective): system setter","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInjective): default method, does nothing","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInjective"]},{"name" : "Tester(IsInjective)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSurjective","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsSurjective: system getter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSurjective)"]]},{"rank" : 10013,"comment" : "IsSurjective: get delayed set attribute values","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 23,"comment" : "IsSurjective: for a field homomorphism","location" : {"line" : 1256,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 18,"comment" : "IsSurjective: via `AsGroupGeneralMappingByImages'","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "IsSurjective: for zero mapping","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 10,"comment" : "IsSurjective: for a composition mapping","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"]]},{"rank" : 9,"comment" : "IsSurjective: for an inverse mapping","location" : {"line" : 920,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]},{"rank" : 7,"comment" : "IsSurjective: for a general mapping","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSurjective)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSurjective): system setter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSurjective): default method, does nothing","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSurjective"]},{"name" : "Tester(IsSurjective)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Range","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "Range: for default general mapping","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsDefaultGeneralMappingRep"]]},{"rank" : 20010,"comment" : "Range: system getter","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(Range)"]]},{"rank" : 29,"comment" : "Range: for operation algebra homomorphism (set full matrix FLMLOR)","location" : {"line" : 1164,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"]]},{"rank" : 25,"comment" : "Range: surjective blocks homomorphism","location" : {"line" : 1681,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsSurjective","Tester(IsSurjective)","IsBlocksHomomorphism"]],"aka" : ["RanImgSrcSurjBloho"]},{"rank" : 25,"comment" : "Range: surjective constituent homomorphism","location" : {"line" : 1476,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsSurjective","Tester(IsSurjective)","IsActionHomomorphism","IsConstituentHomomorphism"]],"aka" : ["RanImgSrcSurjTraho"]},{"rank" : 24,"comment" : "Range: surjective action homomorphism","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsSurjective","Tester(IsSurjective)","IsActionHomomorphism"]]},{"rank" : 23,"comment" : "Range: perm subdirect product projection","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"]]},{"rank" : 23,"comment" : "Range: perm direct product projection","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"]]},{"rank" : 22,"comment" : "Range: ophom: S(domain)","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Range)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Range): system setter","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Range): default method, does nothing","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRange"]},{"name" : "Tester(Range)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRange"]},{"name" : "Source","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "Source: for default general mapping","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsDefaultGeneralMappingRep"]]},{"rank" : 20010,"comment" : "Source: system getter","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(Source)"]]},{"rank" : 23,"comment" : "Source: perm wreath product embedding","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingWreathProductPermGroup"]]},{"rank" : 23,"comment" : "Source: perm direct product embedding","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"]]},{"rank" : 22,"comment" : "Source: action homomorphism","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Source)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Source): system setter","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Source): default method, does nothing","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSource"]},{"name" : "Tester(Source)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSource"]},{"name" : "UnderlyingRelation","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "UnderlyingRelation: system getter","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingRelation)"]]},{"rank" : 7,"comment" : "UnderlyingRelation: for a general mapping","location" : {"line" : 1288,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingRelation)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingRelation): system setter","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingRelation): default method, does nothing","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingRelation"]},{"name" : "Tester(UnderlyingRelation)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingRelation"]},{"name" : "UnderlyingGeneralMapping","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "UnderlyingGeneralMapping: system getter","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "Setter(UnderlyingGeneralMapping): for an underlying relation and a general mapping","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","IsGeneralizedDomain","Tester(GeneratorsOfDomain)","CategoryCollections(IsDirectProductElement)"],["IsGeneralMapping"]]},{"rank" : 29,"comment" : "Setter(UnderlyingGeneralMapping): for an underlying relation and a general mapping","location" : {"line" : 1310,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsAttributeStoringRep","IsCollection","Tester(AsList)","IsGeneralizedDomain","CategoryCollections(IsDirectProductElement)"],["IsGeneralMapping"]]},{"rank" : 2,"comment" : "Setter(UnderlyingGeneralMapping): system setter","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingGeneralMapping): default method, does nothing","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingGeneralMapping"]},{"name" : "Tester(UnderlyingGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingGeneralMapping"]},{"name" : "IdentityMapping","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IdentityMapping: system getter","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(IdentityMapping)"]]},{"rank" : 2,"comment" : "IdentityMapping: for a collection","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IdentityMapping)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IdentityMapping): system setter","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IdentityMapping): default method, does nothing","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdentityMapping"]},{"name" : "Tester(IdentityMapping)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdentityMapping"]},{"name" : "InverseGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "InverseGeneralMapping: system getter","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(InverseGeneralMapping)"]]},{"rank" : 27,"comment" : "InverseGeneralMapping: for inner automorphism","location" : {"line" : 1112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsInnerAutomorphism","Tester(IsInnerAutomorphism)"]]},{"rank" : 26,"comment" : "InverseGeneralMapping: for ANF automorphism","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 26,"comment" : "InverseGeneralMapping: for a Frobenius automorphism","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"]]},{"rank" : 25,"comment" : "InverseGeneralMapping: for conjugator automorphism","location" : {"line" : 1100,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 25,"comment" : "InverseGeneralMapping: for bijective GHBI","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsGroupGeneralMappingByImages"]]},{"rank" : 23,"comment" : "InverseGeneralMapping: for conjugator isomorphism","location" : {"line" : 1088,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 23,"comment" : "InverseGeneralMapping: for an ring g.m.b.i.","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 21,"comment" : "InverseGeneralMapping: for semigroup homomorphism by images","location" : {"line" : 1373,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"]]},{"rank" : 19,"comment" : "InverseGeneralMapping: for mapping by function","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"]]},{"rank" : 13,"comment" : "InverseGeneralMapping: via generators\/images","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 10,"comment" : "InverseGeneralMapping","location" : {"line" : 862,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsAttributeStoringRep","Tester(InverseImmutable)","IsGeneralMapping"]]},{"rank" : 7,"comment" : "InverseGeneralMapping: for a general mapping","location" : {"line" : 887,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InverseGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "Setter(InverseGeneralMapping): transfer the AsGHBI","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages","Tester(AsGroupGeneralMappingByImages)"],["IsGeneralMapping"]]},{"rank" : 2,"comment" : "Setter(InverseGeneralMapping): system setter","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InverseGeneralMapping): default method, does nothing","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInverseGeneralMapping"]},{"name" : "Tester(InverseGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInverseGeneralMapping"]},{"name" : "ImagesSource","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ImagesSource: system getter","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImagesSource)"]]},{"rank" : 10017,"comment" : "ImagesSource: for zero mapping","location" : {"line" : 1504,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 10017,"comment" : "ImagesSource: for identity mapping","location" : {"line" : 1258,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"]]},{"rank" : 10013,"comment" : "ImagesSource: get delayed set attribute values","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 10009,"comment" : "ImagesSource: for surjective general mapping (delegate to `Range')","location" : {"line" : 1028,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsSurjective","Tester(IsSurjective)"]]},{"rank" : 25,"comment" : "ImagesSource: for an algebra g.m.b.i.","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "ImagesSource: actionHomomorphismByBase","location" : {"line" : 3089,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphismByBase"]]},{"rank" : 23,"comment" : "ImagesSource: perm direct product embedding","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"]]},{"rank" : 23,"comment" : "ImagesSource: blocks homomorphism","location" : {"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"]]},{"rank" : 23,"comment" : "ImagesSource: constituent homomorphism","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsActionHomomorphism","IsConstituentHomomorphism"]]},{"rank" : 23,"comment" : "ImagesSource: for an ring g.m.b.i.","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "ImagesSource: for a linear g.m.b.i.","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 21,"comment" : "ImagesSource: for group homomorphism","location" : {"line" : 640,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 18,"comment" : "ImagesSource: via `AsGroupGeneralMappingByImages'","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "ImagesSource: for GHBI","location" : {"line" : 648,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 7,"comment" : "ImagesSource: for general mapping","location" : {"line" : 1016,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImagesSource)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImagesSource): system setter","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImagesSource): default method, does nothing","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImagesSource"]},{"name" : "Tester(ImagesSource)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImagesSource"]},{"name" : "PreImagesRange","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "PreImagesRange: system getter","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(PreImagesRange)"]]},{"rank" : 10013,"comment" : "PreImagesRange: get delayed set attribute values","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 10009,"comment" : "PreImagesRange: for total general mapping (delegate to `Source')","location" : {"line" : 1184,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)"]]},{"rank" : 25,"comment" : "PreImagesRange: for an algebra g.m.b.i.","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "PreImagesRange: for an ring g.m.b.i.","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "PreImagesRange: for a linear g.m.b.i.","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 18,"comment" : "PreImagesRange: via `AsGroupGeneralMappingByImages'","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "PreImagesRange: for GHBI","location" : {"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 7,"comment" : "PreImagesRange: for general mapping","location" : {"line" : 1172,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PreImagesRange)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PreImagesRange): system setter","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PreImagesRange): default method, does nothing","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPreImagesRange"]},{"name" : "Tester(PreImagesRange)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPreImagesRange"]},{"name" : "ImagesElm","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "ImagesElm: for zero mapping and object","location" : {"line" : 1530,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],[]]},{"rank" : 10017,"comment" : "ImagesElm: for identity mapping and object","location" : {"line" : 1234,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 36,"comment" : "ImagesElm: for ANF automorphism and scalar","location" : {"line" : 1952,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 33,"comment" : "ImagesElm: for embedding of ring into magma ring, and ring element","location" : {"line" : 1200,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingRingMagmaRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 31,"comment" : "ImagesElm: for binary relations over [1..n] with images list","location" : {"line" : 1107,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "ImagesElm: for Frobenius automorphism and source element","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],[]]},{"rank" : 26,"comment" : "ImagesElm: for magma congruence and element","location" : {"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"],[]]},{"rank" : 22,"comment" : "ImagesElm: for a Green's equivalence","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensRelation"],[]]},{"rank" : 22,"comment" : "ImagesElm: for embedding of magma into magma ring, and mult. element","location" : {"line" : 1303,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingMagmaMagmaRing"],["IsMultiplicativeElement"]]},{"rank" : 22,"comment" : "ImagesElm: for magma congruence and element","location" : {"line" : 1106,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"],[]]},{"rank" : 22,"comment" : "ImagesElm: for magma congruence and element","location" : {"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"],[]]},{"rank" : 22,"comment" : "ImagesElm: for equivalence relation with partition and element","location" : {"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","Tester(EquivalenceRelationPartition)"],[]]},{"rank" : 20,"comment" : "ImagesElm: for semigroup homomorphism by images","location" : {"line" : 1342,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"],["IsMultiplicativeElement"]]},{"rank" : 16,"comment" : "ImagesElm: IsTransformationRepOfEndo","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],[]]},{"rank" : 14,"comment" : "ImagesElm: method for s.p. gen. mapping respecting add. & add.inv., and element","location" : {"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],[]]},{"rank" : 14,"comment" : "ImagesElm: method for s.p. general mapping respecting mult. & inv., and element","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]},{"rank" : 14,"comment" : "ImagesElm: for mapping by function","location" : {"line" : 605,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"],[]]},{"rank" : 10,"comment" : "ImagesElm: for Lie embedding and object","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsGeneralMapping","IsLieEmbeddingRep"],[]]},{"rank" : 10,"comment" : "ImagesElm: for a restricted mapping, and an element","location" : {"line" : 1742,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],[]]},{"rank" : 10,"comment" : "ImagesElm: for a composition mapping, and an element","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],[]]},{"rank" : 9,"comment" : "ImagesElm: for an inverse mapping and an element","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"],[]]},{"rank" : 9,"comment" : "ImagesElm: for constant time access general mapping, and element","location" : {"line" : 976,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsConstantTimeAccessGeneralMapping","Tester(IsConstantTimeAccessGeneralMapping)"],[]]},{"rank" : 8,"comment" : "ImagesElm: for non s.p. general mapping, and element","location" : {"line" : 956,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsNonSPGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImagesElm"]},{"name" : "ImagesRepresentative","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "ImagesRepresentative: for zero mapping and object","location" : {"line" : 1556,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],[]]},{"rank" : 10017,"comment" : "ImagesRepresentative: for identity mapping and object","location" : {"line" : 1272,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 125,"comment" : "ImagesRepresentative: for total GGMBPCGS, and mult.-elm.-with-inverse","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsTotal","Tester(IsTotal)","IsGroupGeneralMappingByPcgs"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 47,"comment" : "ImagesRepresentative: for a blow up isomorphism, and a matrix in the source","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsBlowUpIsomorphism"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 37,"comment" : "ImagesRepresentative: for an alg. hom. from f. p. algebra, and an element","location" : {"line" : 1065,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsAlgebraHomomorphismFromFpRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 37,"comment" : "ImagesRepresentative: for an operation algebra homomorphism, and an element","location" : {"line" : 890,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 36,"comment" : "ImagesRepresentative: for ANF automorphism and scalar","location" : {"line" : 1978,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 35,"comment" : "ImagesRepresentative: simple tests on equal words to check whether the `generators' are mapped","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGroupGeneralMappingByImages","IsFromFpGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 35,"comment" : "ImagesRepresentative: map from fp group or free group, use 'MappedWord'","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsFromFpGroupStdGensGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 34,"comment" : "ImagesRepresentative: map from (sub)fp group, rewrite","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGroupGeneralMappingByImages","IsFromFpGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 33,"comment" : "ImagesRepresentative: for embedding of ring into magma ring, and ring element","location" : {"line" : 1211,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingRingMagmaRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 31,"comment" : "ImagesRepresentative: for Fp to SCA mapping, and element","location" : {"line" : 4027,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFptoSCAMorphism"],["IsElementOfFpAlgebra"]],"aka" : ["FptoSCAMorphismImageElm"]},{"rank" : 30,"comment" : "ImagesRepresentative","location" : {"line" : 608,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcgsToPcgsGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 29,"comment" : "ImagesRepresentative: using `RepresentativeAction'","location" : {"line" : 3067,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["Tester(ImagesSource)","IsActionHomomorphismByBase"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 29,"comment" : "ImagesRepresentative: imprim perm wreath product embedding","location" : {"line" : 741,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingImprimitiveWreathProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: restricted perm","location" : {"line" : 3105,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphismSubset"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: for action hom that is `ByAsGroup'","location" : {"line" : 3010,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages","IsActionHomomorphism"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: imprim matrix wreath product embedding","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingImprimitiveWreathProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: matrix direct product projection","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsProjectionDirectProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: matrix direct product embedding","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingDirectProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: perm subdirect product projection","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: perm direct product projection","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: perm direct product embedding","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: blocks homomorphism","location" : {"line" : 1580,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: Constituent homomorphism","location" : {"line" : 1417,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsConstituentHomomorphism"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "ImagesRepresentative: for conjugator isomorphism","location" : {"line" : 1179,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 27,"comment" : "ImagesRepresentative: for action hom","location" : {"line" : 3002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"],["IsMultiplicativeElementWithInverse"]],"aka" : ["ImageElmActionHomomorphism"]},{"rank" : 26,"comment" : "ImagesRepresentative: for Frobenius automorphism and source element","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],[]]},{"rank" : 26,"comment" : "ImagesRepresentative: for polring g.m.b.i., and element","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsGeneralMapping","IsPolynomialRingDefaultGeneratorMapping"],[]]},{"rank" : 25,"comment" : "ImagesRepresentative: for algebra g.m.b.i., and element","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 24,"comment" : "ImagesRepresentative: word decomp hom","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["IsGroupGeneralMappingByImages","IsWordDecompHomomorphism","Tester(IsWordDecompHomomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 24,"comment" : "ImagesRepresentative: perm group hom","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 24,"comment" : "ImagesRepresentative: for SC ring g.m.b.i., and element","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsSCRingGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 23,"comment" : "ImagesRepresentative: for `ByAsGroupGeneralMapping' hom","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 23,"comment" : "ImagesRepresentative: for left module m.b.m., and element","location" : {"line" : 1219,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"],[]]},{"rank" : 23,"comment" : "ImagesRepresentative: for left module g.m.b.i., and element","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 22,"comment" : "ImagesRepresentative: parallel enumeration of source and range","location" : {"line" : 849,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]],"aka" : ["ImagesRepresentativeGMBIByElementsList"]},{"rank" : 22,"comment" : "ImagesRepresentative: for embedding of magma into magma ring, and mult. element","location" : {"line" : 1315,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingMagmaMagmaRing"],["IsMultiplicativeElement"]]},{"rank" : 21,"comment" : "ImagesRepresentative: equivalence relations","location" : {"line" : 1906,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]},{"rank" : 20,"comment" : "ImagesRepresentative: for semigroup homomorphism by images","location" : {"line" : 1288,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"],["IsMultiplicativeElement"]]},{"rank" : 14,"comment" : "ImagesRepresentative: for mapping by function","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"],[]]},{"rank" : 10,"comment" : "ImagesRepresentative: for a restricted mapping, and an element","location" : {"line" : 1787,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],[]]},{"rank" : 10,"comment" : "ImagesRepresentative: for a composition mapping, and an element","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],[]]},{"rank" : 9,"comment" : "ImagesRepresentative: for an inverse mapping and an element","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"],[]]},{"rank" : 8,"comment" : "ImagesRepresentative: for non s.p. general mapping, and element","location" : {"line" : 1066,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsNonSPGeneralMapping"],[]]},{"rank" : 8,"comment" : "ImagesRepresentative: for s.p. general mapping, and element","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsSPGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImagesRepresentative"]},{"name" : "ImagesSet","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsCollection"]]],"locations" : [{"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10019,"comment" : "ImagesSet: for zero mapping and collection","location" : {"line" : 1543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],["IsCollection"]]},{"rank" : 10019,"comment" : "ImagesSet: for identity mapping and collection","location" : {"line" : 1248,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],["IsCollection"]]},{"rank" : 80,"comment" : "ImagesSet: for ANF automorphism and field","location" : {"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 80,"comment" : "ImagesSet: for Frobenius automorphism and field contained in the source","location" : {"line" : 744,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 79,"comment" : "ImagesSet: constituent homomorphism","location" : {"line" : 1445,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsConstituentHomomorphism"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(StabChainMutable)"]]},{"rank" : 78,"comment" : "ImagesSet: for blocks homomorphism and perm. group","location" : {"line" : 1660,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 77,"comment" : "ImagesSet: for field homomorphism and field","location" : {"line" : 1299,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 58,"comment" : "ImagesSet: for conjugator isomorphism, and group","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 56,"comment" : "ImagesSet: method for algebra-with-one hom. and FLMLOR-with-one","location" : {"line" : 982,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 54,"comment" : "ImagesSet: method for injective s.p. mapping respecting mult. & inv., and group","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "ImagesSet: for polring g.m.b.i., and ring","location" : {"line" : 873,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsGeneralMapping","IsPolynomialRingDefaultGeneratorMapping"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 52,"comment" : "ImagesSet: method for algebra hom. and FLMLOR","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 48,"comment" : "ImagesSet: method for s.p. general mapping respecting mult. & inv., and group","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "ImagesSet: method for linear mapping and left module","location" : {"line" : 888,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 30,"comment" : "ImagesSet: method for s.p. gen. mapping resp. add. & add.inv., and add. group","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 24,"comment" : "ImagesSet: for general mapping, and empty list","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 12,"comment" : "ImagesSet: for a restricted mapping, and an collection","location" : {"line" : 1761,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],["IsCollection"]]},{"rank" : 12,"comment" : "ImagesSet: for a composition mapping, and an collection","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],["IsCollection"]]},{"rank" : 11,"comment" : "ImagesSet: for an inverse mapping and a collection","location" : {"line" : 1018,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"],["IsCollection"]]},{"rank" : 9,"comment" : "ImagesSet: for general mapping, and finite collection","location" : {"line" : 997,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImagesSet"]},{"name" : "ImageElm","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],[]]],"locations" : [{"line" : 822,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "ImageElm: for zero mapping and object","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],[]]},{"rank" : 10017,"comment" : "ImageElm: for identity mapping and object","location" : {"line" : 1220,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 42,"comment" : "ImageElm: for ANF automorphism and scalar","location" : {"line" : 1939,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsCyc"]]},{"rank" : 31,"comment" : "ImageElm: for Fp to SCA mapping, and element","location" : {"line" : 4021,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFptoSCAMorphism"],["IsElementOfFpAlgebra"]]},{"rank" : 26,"comment" : "ImageElm: for Frobenius automorphism and source element","location" : {"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],[]]},{"rank" : 14,"comment" : "ImageElm: for mapping by function","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"],[]]},{"rank" : 13,"comment" : "ImageElm: for an inverse mapping and an element","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInverseGeneralMappingRep"],[]]},{"rank" : 11,"comment" : "ImageElm: for mapping, and element","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],[]]},{"rank" : 7,"comment" : "ImageElm: for general mapping, and element","location" : {"line" : 936,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImageElm"]},{"name" : "PreImagesElm","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "PreImagesElm: for zero mapping and object","location" : {"line" : 1573,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],[]]},{"rank" : 10017,"comment" : "PreImagesElm: for identity mapping and object","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 37,"comment" : "PreImagesElm: for embedding of ring into magma ring, and free magma ring element","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingRingMagmaRing"],["IsElementOfFreeMagmaRing"]]},{"rank" : 36,"comment" : "PreImagesElm: for ANF automorphism and scalar","location" : {"line" : 2007,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 31,"comment" : "PreImagesElm: for embedding of magma into magma ring, and free magma ring element","location" : {"line" : 1332,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingMagmaMagmaRing"],["IsElementOfFreeMagmaRing"]]},{"rank" : 31,"comment" : "PreImagesElm: for binary rels over [1..n] with images list","location" : {"line" : 1121,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "PreImagesElm: for field homomorphism and element","location" : {"line" : 1318,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"],[]]},{"rank" : 23,"comment" : "PreImagesElm: for Lie embedding and Lie object in default representation","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsGeneralMapping","IsLieEmbeddingRep"],["IsPackedElementDefaultRep","IsLieObject"]]},{"rank" : 22,"comment" : "PreImagesElm: equivalence relations with parition and element","location" : {"line" : 1953,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","Tester(EquivalenceRelationPartition)"],[]]},{"rank" : 19,"comment" : "PreImagesElm: for mapping by function","location" : {"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"],[]]},{"rank" : 14,"comment" : "PreImagesElm: method for s.p. gen. mapping respecting add. & add.inv., and element","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],[]]},{"rank" : 14,"comment" : "PreImagesElm: method for s.p. general mapping respecting mult. & inv., and element","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]},{"rank" : 10,"comment" : "PreImagesElm: for a restricted mapping, and an element","location" : {"line" : 1806,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],[]]},{"rank" : 10,"comment" : "PreImagesElm: for a composition mapping, and an element","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],[]]},{"rank" : 9,"comment" : "PreImagesElm: for an inverse mapping and an element","location" : {"line" : 1058,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"],[]]},{"rank" : 9,"comment" : "PreImagesElm: for constant time access general mapping, and element","location" : {"line" : 1132,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsConstantTimeAccessGeneralMapping","Tester(IsConstantTimeAccessGeneralMapping)"],[]]},{"rank" : 7,"comment" : "PreImagesElm: for general mapping with finite source, and element","location" : {"line" : 1112,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreImagesElm"]},{"name" : "PreImageElm","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)"],[]]],"locations" : [{"line" : 973,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "PreImageElm: for identity mapping and object","location" : {"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 40,"comment" : "PreImageElm: for ANF automorphism and scalar","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 19,"comment" : "PreImageElm: for mapping by function","location" : {"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"],[]]},{"rank" : 13,"comment" : "PreImageElm: for an inj. & surj. inverse mapping, and an element","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsInverseGeneralMappingRep"],[]]},{"rank" : 11,"comment" : "PreImageElm: for inj. & surj. general mapping, and element","location" : {"line" : 1088,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)"],[]],"aka" : ["PreImagesRepresentative"]},{"rank" : 7,"comment" : "PreImageElm: for general mapping, and element","location" : {"line" : 1082,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreImageElm"]},{"name" : "PreImagesRepresentative","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10017,"comment" : "PreImagesRepresentative: for zero mapping and object","location" : {"line" : 1607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],[]]},{"rank" : 10017,"comment" : "PreImagesRepresentative: for identity mapping and object","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],[]]},{"rank" : 59,"comment" : "PreImagesRepresentative: for an alg. hom. from f. p. algebra, and an element","location" : {"line" : 912,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsAlgebraHomomorphismFromFpRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],"aka" : ["PreImagesRepresentativeOperationAlgebraHomomorphism"]},{"rank" : 59,"comment" : "PreImagesRepresentative: for an operation algebra homomorphism, and an element","location" : {"line" : 912,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 47,"comment" : "PreImagesRepresentative: for a blow up isomorphism, and a matrix in the range","location" : {"line" : 1052,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsBlowUpIsomorphism"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 37,"comment" : "PreImagesRepresentative: for embedding of ring into magma ring, and free magma ring element","location" : {"line" : 1244,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingRingMagmaRing"],["IsElementOfFreeMagmaRing"]]},{"rank" : 36,"comment" : "PreImagesRepresentative: for ANF automorphism and scalar","location" : {"line" : 2034,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 33,"comment" : "PreImagesRepresentative: for Fp to SCA mapping, and element","location" : {"line" : 4146,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFptoSCAMorphism"],["IsSCAlgebraObj"]]},{"rank" : 32,"comment" : "PreImagesRepresentative: AutomGroup Niceomorphism","location" : {"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsActionHomomorphismAutomGroup"],["IsPerm"]]},{"rank" : 31,"comment" : "PreImagesRepresentative: IsProjectiveActionHomomorphism","location" : {"line" : 3188,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsProjectiveActionHomomorphism"],["IsPerm"]]},{"rank" : 31,"comment" : "PreImagesRepresentative: IsLinearActionHomomorphism","location" : {"line" : 3143,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsLinearActionHomomorphism"],["IsPerm"]]},{"rank" : 31,"comment" : "PreImagesRepresentative: constituent homomorphism","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsConstituentHomomorphism"],["IsPerm"]]},{"rank" : 31,"comment" : "PreImagesRepresentative: for embedding of magma into magma ring, and free magma ring element","location" : {"line" : 1348,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsEmbeddingMagmaMagmaRing"],["IsElementOfFreeMagmaRing"]]},{"rank" : 30,"comment" : "PreImagesRepresentative","location" : {"line" : 620,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcgsToPcgsGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 29,"comment" : "PreImagesRepresentative: imprim perm wreath product embedding","location" : {"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingImprimitiveWreathProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: hom. to standard generators of fp group, using 'MappedWord'","location" : {"line" : 726,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsToFpGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: imprim matrix wreath product embedding","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingImprimitiveWreathProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: matrix direct product projection","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsProjectionDirectProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: matrix direct product embedding","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsEmbeddingDirectProductMatrixGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: perm subdirect product projection","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: perm direct product projection","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: perm direct product embedding","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsEmbeddingDirectProductPermGroup"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: blocks homomorphism","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "PreImagesRepresentative: for conjugator isomorphism","location" : {"line" : 1205,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 27,"comment" : "PreImagesRepresentative: method for pcgs hom","location" : {"line" : 513,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsToPcGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 26,"comment" : "PreImagesRepresentative: for algebra g.m.b.i. knowing inverse, and element","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","Tester(InverseGeneralMapping)","IsAlgebraGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 25,"comment" : "PreImagesRepresentative: for algebra g.m.b.i., and element","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 23,"comment" : "PreImagesRepresentative: for PBG-Niceo","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsPreimagesByAsGroupGeneralMappingByImages","IsNiceMonomorphism"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 23,"comment" : "PreImagesRepresentative","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsToPermGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 23,"comment" : "PreImagesRepresentative: for ring g.m.b.i., and element","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 23,"comment" : "PreImagesRepresentative: for left module m.b.m., and element","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"],[]]},{"rank" : 23,"comment" : "PreImagesRepresentative: for left module g.m.b.i., and element","location" : {"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"],[]]},{"rank" : 22,"comment" : "PreImagesRepresentative: for GHBI and mult.-elm.-with-inverse","location" : {"line" : 866,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "PreImagesRepresentative: for PBG-Hom","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsPreimagesByAsGroupGeneralMappingByImages"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 21,"comment" : "PreImagesRepresentative: equivalence relations","location" : {"line" : 1916,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]},{"rank" : 20,"comment" : "PreImagesRepresentative: for semigroup homomorphism by images","location" : {"line" : 1314,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"],["IsMultiplicativeElement"]]},{"rank" : 19,"comment" : "PreImagesRepresentative: for mapping by function with inverse","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionWithInverseRep"],[]]},{"rank" : 14,"comment" : "PreImagesRepresentative: for mapping by function","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsMappingByFunctionRep"],[]]},{"rank" : 10,"comment" : "PreImagesRepresentative: for a restricted mapping, and an element","location" : {"line" : 1850,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],[]]},{"rank" : 10,"comment" : "PreImagesRepresentative: for a composition mapping, and an element","location" : {"line" : 371,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],[]]},{"rank" : 9,"comment" : "PreImagesRepresentative: for an inverse mapping and an element","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsInverseGeneralMappingRep"],[]]},{"rank" : 8,"comment" : "PreImagesRepresentative: for total non-s.p. general mapping, and element","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsNonSPGeneralMapping"],[]]},{"rank" : 8,"comment" : "PreImagesRepresentative: for s.p. general mapping, and element","location" : {"line" : 1197,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsSPGeneralMapping"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PreImagesSet","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsCollection"]]],"locations" : [{"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10019,"comment" : "PreImagesSet: for zero mapping and collection","location" : {"line" : 1590,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],["IsCollection"]]},{"rank" : 10019,"comment" : "PreImagesSet: for identity mapping and collection","location" : {"line" : 1314,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],["IsCollection"]]},{"rank" : 80,"comment" : "PreImagesSet: for ANF automorphism and scalar","location" : {"line" : 2020,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 78,"comment" : "PreImagesSet","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 78,"comment" : "PreImagesSet: constituent homomorphism","location" : {"line" : 1530,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsConstituentHomomorphism"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 77,"comment" : "PreImagesSet: for field homomorphism and field","location" : {"line" : 1334,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 63,"comment" : "PreImagesSet: map from (sub)group of fp group","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsFromFpGroupGeneralMapping"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "PreImagesSet: for conjugator isomorphism, and group","location" : {"line" : 1218,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 56,"comment" : "PreImagesSet: method for algebra-with-one hom. and FLMLOR-with-one","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 54,"comment" : "PreImagesSet: method for injective s.p. mapping respecting mult. & inv., and group","location" : {"line" : 401,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 53,"comment" : "PreImagesSet: method for permgroup homs","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPermGroupGeneralMapping"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "PreImagesSet: method for algebra hom. and FLMLOR","location" : {"line" : 1008,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 48,"comment" : "PreImagesSet: method for s.p. general mapping respecting mult. & inv., and group","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 38,"comment" : "PreImagesSet: method for linear mapping and left module","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 30,"comment" : "PreImagesSet: method for s.p. gen. mapping resp. add. & add.inv., and add. group","location" : {"line" : 727,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsSPGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 24,"comment" : "PreImagesSet: for general mapping, and empty list","location" : {"line" : 1161,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 12,"comment" : "PreImagesSet: for a restricted mapping, and an collection","location" : {"line" : 1825,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralRestrictedMappingRep"],["IsCollection"]]},{"rank" : 12,"comment" : "PreImagesSet: for a composition mapping, and an collection","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCompositionMappingRep"],["IsCollection"]]},{"rank" : 11,"comment" : "PreImagesSet: for an inverse mapping and a collection","location" : {"line" : 1071,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"],["IsCollection"]]},{"rank" : 9,"comment" : "PreImagesSet: for general mapping, and finite collection","location" : {"line" : 1153,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["IsGeneralMapping"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreImagesSet"]},{"name" : "CompositionMapping2","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsGeneralMapping"]]],"locations" : [{"line" : 1157,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10028,"comment" : "CompositionMapping2: for zero mapping and single-valued gen. mapping that resp. zero","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping"],["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 10025,"comment" : "CompositionMapping2: for identity mapping and general mapping","location" : {"line" : 1390,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping"],["IsGeneralMapping"]]},{"rank" : 10025,"comment" : "CompositionMapping2: for general mapping and identity mapping","location" : {"line" : 1370,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping"],["IsOne","Tester(IsOne)","IsGeneralMapping"]]},{"rank" : 10024,"comment" : "CompositionMapping2: for general mapping and zero mapping","location" : {"line" : 1646,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping"],["IsZero","Tester(IsZero)","IsGeneralMapping"]]},{"rank" : 56,"comment" : "CompositionMapping2: method for two pc group automorphisms","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsPcGroupGeneralMappingByImages","IsToPcGroupGeneralMappingByImages"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsPcGroupGeneralMappingByImages","IsToPcGroupGeneralMappingByImages"]]},{"rank" : 54,"comment" : "CompositionMapping2: for two inner automorphisms","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsInnerAutomorphism","Tester(IsInnerAutomorphism)"],["IsInnerAutomorphism","Tester(IsInnerAutomorphism)"]]},{"rank" : 52,"comment" : "CompositionMapping2: for two ANF automorphisms","location" : {"line" : 2048,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"],["IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]]},{"rank" : 52,"comment" : "CompositionMapping2: for two Frobenius automorphisms","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsFrobeniusAutomorphism"],["IsFrobeniusAutomorphism"]]},{"rank" : 51,"comment" : "CompositionMapping2: for gp. hom. and fp. hom, transferring the coset table","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsFromFpGroupGeneralMappingByImages","Tester(CosetTableFpHom)"]]},{"rank" : 50,"comment" : "CompositionMapping2: for two conjugator automorphisms","location" : {"line" : 1148,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 47,"comment" : "CompositionMapping2: fp hom. with perm group hom.","location" : {"line" : 1090,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsToFpGroupGeneralMappingByImages"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsPermGroupGeneralMappingByImages"]]},{"rank" : 46,"comment" : "CompositionMapping2: for two conjugator isomorphisms","location" : {"line" : 1130,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 46,"comment" : "CompositionMapping2: for left module hom. and algebra g.m.b.i.","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 46,"comment" : "CompositionMapping2: for left module hom. and linear m.b.m.","location" : {"line" : 1508,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 45,"comment" : "CompositionMapping2: for action homomorphism with blocks homomorphism","location" : {"line" : 1861,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsBlocksHomomorphism"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsActionHomomorphism"]]},{"rank" : 44,"comment" : "CompositionMapping2: for left module hom. and algebra g.m.b.i.","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 42,"comment" : "CompositionMapping2: for left module hom. and linear g.m.b.i.","location" : {"line" : 732,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"],["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 40,"comment" : "CompositionMapping2: group hom. with perm group hom.","location" : {"line" : 1069,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsPermGroupGeneralMappingByImages"]]},{"rank" : 39,"comment" : "CompositionMapping2: method for hom2 from pc group","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsGroupGeneralMappingByPcgs"]]},{"rank" : 34,"comment" : "CompositionMapping2: for semigroup homomorphism by images","location" : {"line" : 1361,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"],["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupHomomorphismByImagesRep"]]},{"rank" : 32,"comment" : "CompositionMapping2: IsTransformationRepOfEndo, IsTransformationRepOfEndo","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 30,"comment" : "CompositionMapping2: for gp. hom. and gp. gen. mapp., using `MappingGeneratorsImages'","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 29,"comment" : "CompositionMapping2: IsTransformationRepOfEndo, IsEndoMapping","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 29,"comment" : "CompositionMapping2: IsEndoMapping, IsTransformationRepOfEndo","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 14,"comment" : "CompositionMapping2: for two general mappings","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping"],["IsGeneralMapping"]],"aka" : ["CompositionMapping2General"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CompositionMapping2"]},{"name" : "ZeroMapping","type" : "GAP_Operation","filters" : [[["IsCollection"],["IsCollection"]]],"locations" : [{"line" : 1255,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "ZeroMapping: for collection and additive-magma-with-zero","location" : {"line" : 1470,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsCollection"],["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZeroMapping"]},{"name" : "RestrictedMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 1275,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10048,"comment" : "RestrictedMapping: try if restriction is proper","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 10015,"comment" : "RestrictedMapping: for mapping that is already restricted","location" : {"line" : 1946,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsGeneralRestrictedMappingRep"],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 57,"comment" : "RestrictedMapping: action homomorphism","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 54,"comment" : "RestrictedMapping: injective case: use GeneralRestrictedMapping","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "RestrictedMapping: create new GHBI","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 12,"comment" : "RestrictedMapping: use GeneralRestrictedMapping","location" : {"line" : 1957,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping"],["IsCollection","IsGeneralizedDomain"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedMapping"]},{"name" : "Embedding","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 1327,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 78,"comment" : "Embedding: generic method for perm semidirect products","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SemidirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 78,"comment" : "Embedding: perm wreath product","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 78,"comment" : "Embedding: perm direct product","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 66,"comment" : "Embedding: of semidirect pc group and integer","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","Tester(SemidirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 66,"comment" : "Embedding: of pc group and integer","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 65,"comment" : "Embedding: matrix wreath product","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 65,"comment" : "Embedding: matrix direct product","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 62,"comment" : "Embedding: for ring and magma ring","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFreeMagmaRing"]]},{"rank" : 59,"comment" : "Embedding: generic wreath product","location" : {"line" : 1018,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)","CategoryCollections(IsWreathProductElement)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Embedding: free products","location" : {"line" : 1541,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FreeProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Embedding: vectorspace semidirect products","location" : {"line" : 1379,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SemidirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Embedding: of semidirect product and integer","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SemidirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Embedding: group direct product and integer","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 47,"comment" : "Embedding: for magma and magma ring","location" : {"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagma"],["IsFreeMagmaRing"]]},{"rank" : 3,"comment" : "Embedding: for two families, the first with known Lie family","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsFamily","Tester(LieFamily)"],["IsFamily"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Embedding"]},{"name" : "Projection","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 1360,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 59,"comment" : "Projection: generic method for perm semidirect products","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SemidirectProductInfo)"]]},{"rank" : 59,"comment" : "Projection: perm wreath product","location" : {"line" : 812,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)"]]},{"rank" : 47,"comment" : "Projection: of semidirect pc group","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","Tester(SemidirectProductInfo)"]]},{"rank" : 46,"comment" : "Projection: matrix wreath product","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)"]]},{"rank" : 40,"comment" : "Projection: generic wreath product","location" : {"line" : 1047,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(WreathProductInfo)","CategoryCollections(IsWreathProductElement)"]]},{"rank" : 36,"comment" : "Projection: of semidirect product","location" : {"line" : 1203,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SemidirectProductInfo)"]]}],"2args" : [{"rank" : 78,"comment" : "Projection: perm subdirect product","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SubdirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 78,"comment" : "Projection: perm direct product","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 66,"comment" : "Projection: of pc group and integer","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 65,"comment" : "Projection: matrix direct product","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Projection: pc subdirect product","location" : {"line" : 563,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SubdirectProductInfo)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "Projection: group direct product and integer","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Projection"]},{"name" : "MappingGeneratorsImages","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "MappingGeneratorsImages: system getter","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep","Tester(MappingGeneratorsImages)"]]},{"rank" : 23,"comment" : "MappingGeneratorsImages: for action hom that is `ByAsGroup'","location" : {"line" : 3024,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages","IsActionHomomorphism"]]},{"rank" : 23,"comment" : "MappingGeneratorsImages: for conjugator isomorphism","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 17,"comment" : "MappingGeneratorsImages: for group homomorphism","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 0,"comment" : "MappingGeneratorsImages:  fallback method to test conditions","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MappingGeneratorsImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MappingGeneratorsImages): system setter","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MappingGeneratorsImages): default method, does nothing","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMappingGeneratorsImages"]},{"name" : "Tester(MappingGeneratorsImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMappingGeneratorsImages"]},{"name" : "RespectsMultiplication","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsMultiplication: system getter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsMultiplication)"]]},{"rank" : 7,"comment" : "RespectsMultiplication: method for a general mapping","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsMultiplication): system setter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsMultiplication): default method, does nothing","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsMultiplication"]},{"name" : "Tester(RespectsMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RespectsOne","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsOne: system getter","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsOne)"]]},{"rank" : 7,"comment" : "RespectsOne: method for a general mapping","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsOne)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsOne): system setter","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsOne): default method, does nothing","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsOne"]},{"name" : "Tester(RespectsOne)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RespectsInverses","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsInverses: system getter","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsInverses)"]]},{"rank" : 7,"comment" : "RespectsInverses: method for a general mapping","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsInverses): system setter","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsInverses): default method, does nothing","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsInverses"]},{"name" : "Tester(RespectsInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "KernelOfMultiplicativeGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "KernelOfMultiplicativeGeneralMapping: system getter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(KernelOfMultiplicativeGeneralMapping)"]]},{"rank" : 10013,"comment" : "KernelOfMultiplicativeGeneralMapping: get delayed set attribute values","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 10013,"comment" : "KernelOfMultiplicativeGeneralMapping: method for an injective gen. mapping that respects mult. and one","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 29,"comment" : "KernelOfMultiplicativeGeneralMapping: from fp\/free group, std. gens., to perm group","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsToPermGroupGeneralMappingByImages","IsFromFpGroupGeneralMapping"]]},{"rank" : 24,"comment" : "KernelOfMultiplicativeGeneralMapping: hom from fp grp","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsFromFpGroupGeneralMapping"]]},{"rank" : 24,"comment" : "KernelOfMultiplicativeGeneralMapping: method for homs from pc group into pc group or perm group","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages","IsToPcGroupGeneralMappingByImages"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: matrix direct product projection","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsProjectionDirectProductMatrixGroup"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: perm subdirect product projection","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionSubdirectProductPermGroup"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: perm direct product projection","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsProjectionDirectProductPermGroup"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: blocks homomorphism","location" : {"line" : 1803,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: for constituent homomorphism","location" : {"line" : 1542,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsConstituentHomomorphism"]]},{"rank" : 23,"comment" : "KernelOfMultiplicativeGeneralMapping: method for homs from pc group","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]]},{"rank" : 22,"comment" : "KernelOfMultiplicativeGeneralMapping: for action homomorphism","location" : {"line" : 3045,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsActionHomomorphism"]]},{"rank" : 20,"comment" : "KernelOfMultiplicativeGeneralMapping: for perm to perm group homs, compute stab chain, try again","location" : {"line" : 1385,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages","IsToPermGroupGeneralMappingByImages"]]},{"rank" : 20,"comment" : "KernelOfMultiplicativeGeneralMapping: hom by function","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsMappingByFunctionRep"]]},{"rank" : 18,"comment" : "KernelOfMultiplicativeGeneralMapping: via `AsGroupGeneralMappingByImages'","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "KernelOfMultiplicativeGeneralMapping: for GHBI","location" : {"line" : 797,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 16,"comment" : "KernelOfMultiplicativeGeneralMapping: for a restricted mapping that resp. mult. and inv.","location" : {"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsGeneralRestrictedMappingRep","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 16,"comment" : "KernelOfMultiplicativeGeneralMapping: for a composition mapping that resp. mult. and inv.","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsCompositionMappingRep","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 11,"comment" : "KernelOfMultiplicativeGeneralMapping: method for a finite general mapping","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 9,"comment" : "KernelOfMultiplicativeGeneralMapping: for an inverse mapping","location" : {"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KernelOfMultiplicativeGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KernelOfMultiplicativeGeneralMapping): system setter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KernelOfMultiplicativeGeneralMapping): default method, does nothing","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKernelOfMultiplicativeGeneralMapping"]},{"name" : "Tester(KernelOfMultiplicativeGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasKernelOfMultiplicativeGeneralMapping"]},{"name" : "CoKernelOfMultiplicativeGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "CoKernelOfMultiplicativeGeneralMapping: system getter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoKernelOfMultiplicativeGeneralMapping)"]]},{"rank" : 10013,"comment" : "CoKernelOfMultiplicativeGeneralMapping: get delayed set attribute values","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 10013,"comment" : "CoKernelOfMultiplicativeGeneralMapping: method for a single-valued gen. mapping that respects mult. and one","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 29,"comment" : "CoKernelOfMultiplicativeGeneralMapping: GHBI from fp grp","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGroupGeneralMappingByImages","IsFromFpGroupGeneralMappingByImages"]]},{"rank" : 20,"comment" : "CoKernelOfMultiplicativeGeneralMapping","location" : {"line" : 1397,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages","IsToPermGroupGeneralMappingByImages"]]},{"rank" : 19,"comment" : "CoKernelOfMultiplicativeGeneralMapping","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages"]]},{"rank" : 18,"comment" : "CoKernelOfMultiplicativeGeneralMapping: for GMBPCGS: evaluate relations","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsGroupGeneralMappingByPcgs"]]},{"rank" : 18,"comment" : "CoKernelOfMultiplicativeGeneralMapping: via `AsGroupGeneralMappingByImages'","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByAsGroupGeneralMappingByImages"]]},{"rank" : 17,"comment" : "CoKernelOfMultiplicativeGeneralMapping: for GHBI","location" : {"line" : 786,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 16,"comment" : "CoKernelOfMultiplicativeGeneralMapping: for a restricted mapping that resp. mult. and inv.","location" : {"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsGeneralRestrictedMappingRep","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 16,"comment" : "CoKernelOfMultiplicativeGeneralMapping: for a composition mapping that resp. mult. and inv.","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsCompositionMappingRep","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 11,"comment" : "CoKernelOfMultiplicativeGeneralMapping: method for a finite general mapping","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"]]},{"rank" : 9,"comment" : "CoKernelOfMultiplicativeGeneralMapping: for an inverse mapping","location" : {"line" : 967,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoKernelOfMultiplicativeGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoKernelOfMultiplicativeGeneralMapping): system setter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoKernelOfMultiplicativeGeneralMapping): default method, does nothing","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoKernelOfMultiplicativeGeneralMapping"]},{"name" : "Tester(CoKernelOfMultiplicativeGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoKernelOfMultiplicativeGeneralMapping"]},{"name" : "RespectsAddition","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsAddition: system getter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsAddition)"]]},{"rank" : 7,"comment" : "RespectsAddition: method for a general mapping","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsAddition)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsAddition): system setter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsAddition): default method, does nothing","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsAddition"]},{"name" : "Tester(RespectsAddition)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RespectsZero","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsZero: system getter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsZero)"]]},{"rank" : 7,"comment" : "RespectsZero: method for a general mapping","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsZero)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsZero): system setter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsZero): default method, does nothing","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsZero"]},{"name" : "Tester(RespectsZero)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RespectsAdditiveInverses","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsAdditiveInverses: system getter","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsAdditiveInverses)"]]},{"rank" : 7,"comment" : "RespectsAdditiveInverses: method for a general mapping","location" : {"line" : 490,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsAdditiveInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsAdditiveInverses): system setter","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsAdditiveInverses): default method, does nothing","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsAdditiveInverses"]},{"name" : "Tester(RespectsAdditiveInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "KernelOfAdditiveGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "KernelOfAdditiveGeneralMapping: system getter","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(KernelOfAdditiveGeneralMapping)"]]},{"rank" : 10021,"comment" : "KernelOfAdditiveGeneralMapping: method for zero mapping","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsZero","Tester(IsZero)","IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 10013,"comment" : "KernelOfAdditiveGeneralMapping: method for an injective gen. mapping that respects add. and zero","location" : {"line" : 546,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsInjective","Tester(IsInjective)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 29,"comment" : "KernelOfAdditiveGeneralMapping: for operation algebra hom. with fin. dim. source","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsOperationAlgebraHomomorphismDefaultRep"]]},{"rank" : 25,"comment" : "KernelOfAdditiveGeneralMapping: for algebra g.m.b.i.","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "KernelOfAdditiveGeneralMapping: for a field homomorphism","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]]},{"rank" : 23,"comment" : "KernelOfAdditiveGeneralMapping: for ring g.m.b.i.","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "KernelOfAdditiveGeneralMapping: for left module m.b.m.","location" : {"line" : 1182,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 23,"comment" : "KernelOfAdditiveGeneralMapping: for left module g.m.b.i.","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 16,"comment" : "KernelOfAdditiveGeneralMapping: for a restricted mapping that resp. add. and add.inv.","location" : {"line" : 1863,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsGeneralRestrictedMappingRep","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 16,"comment" : "KernelOfAdditiveGeneralMapping: for a composition mapping that resp. add. and add.inv.","location" : {"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsCompositionMappingRep","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 15,"comment" : "KernelOfAdditiveGeneralMapping: method for a finite linear mapping","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 11,"comment" : "KernelOfAdditiveGeneralMapping: method for a finite general mapping","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 9,"comment" : "KernelOfAdditiveGeneralMapping: for an inverse mapping","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KernelOfAdditiveGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KernelOfAdditiveGeneralMapping): system setter","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KernelOfAdditiveGeneralMapping): default method, does nothing","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKernelOfAdditiveGeneralMapping"]},{"name" : "Tester(KernelOfAdditiveGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasKernelOfAdditiveGeneralMapping"]},{"name" : "CoKernelOfAdditiveGeneralMapping","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "CoKernelOfAdditiveGeneralMapping: system getter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoKernelOfAdditiveGeneralMapping)"]]},{"rank" : 10013,"comment" : "CoKernelOfAdditiveGeneralMapping: method for a single-valued gen. mapping that respects add. and zero","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 25,"comment" : "CoKernelOfAdditiveGeneralMapping: for algebra g.m.b.i.","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "CoKernelOfAdditiveGeneralMapping: for ring g.m.b.i.","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsGeneralMapping","IsRingGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "CoKernelOfAdditiveGeneralMapping: for left module g.m.b.i.","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","IsLinearGeneralMappingByImagesDefaultRep"]]},{"rank" : 16,"comment" : "CoKernelOfAdditiveGeneralMapping: for a restricted mapping that resp. add. and add.inv.","location" : {"line" : 1877,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsGeneralRestrictedMappingRep","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 16,"comment" : "CoKernelOfAdditiveGeneralMapping: for a composition mapping that resp. add. and add.inv.","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsCompositionMappingRep","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]]},{"rank" : 15,"comment" : "CoKernelOfAdditiveGeneralMapping: method for a finite linear mapping","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]},{"rank" : 11,"comment" : "CoKernelOfAdditiveGeneralMapping: method for a finite general mapping","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"]]},{"rank" : 9,"comment" : "CoKernelOfAdditiveGeneralMapping: for an inverse mapping","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/mapprep.gi"},"filters" : [["IsGeneralMapping","IsInverseGeneralMappingRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoKernelOfAdditiveGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoKernelOfAdditiveGeneralMapping): system setter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoKernelOfAdditiveGeneralMapping): default method, does nothing","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoKernelOfAdditiveGeneralMapping"]},{"name" : "Tester(CoKernelOfAdditiveGeneralMapping)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoKernelOfAdditiveGeneralMapping"]},{"name" : "RespectsScalarMultiplication","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RespectsScalarMultiplication: system getter","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(RespectsScalarMultiplication)"]]},{"rank" : 7,"comment" : "RespectsScalarMultiplication: method for a general mapping","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RespectsScalarMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RespectsScalarMultiplication): system setter","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RespectsScalarMultiplication): default method, does nothing","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRespectsScalarMultiplication"]},{"name" : "Tester(RespectsScalarMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLinearMapping","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsGeneralMapping"]]],"locations" : [{"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLinearMapping"]},{"name" : "IsFieldHomomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsFieldHomomorphism: system getter","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFieldHomomorphism)"]]},{"rank" : 7,"comment" : "IsFieldHomomorphism","location" : {"line" : 1211,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 7,"comment" : "IsFieldHomomorphism: method for a general mapping","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFieldHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFieldHomomorphism): system setter","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFieldHomomorphism): default method, does nothing","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFieldHomomorphism"]},{"name" : "Tester(IsFieldHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformsMultiplicationIntoAddition","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TransformsMultiplicationIntoAddition: system getter","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformsMultiplicationIntoAddition)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformsMultiplicationIntoAddition)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformsMultiplicationIntoAddition): system setter","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformsMultiplicationIntoAddition): default method, does nothing","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformsMultiplicationIntoAddition"]},{"name" : "Tester(TransformsMultiplicationIntoAddition)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TranformsOneIntoZero","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TranformsOneIntoZero: system getter","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TranformsOneIntoZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TranformsOneIntoZero)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TranformsOneIntoZero): system setter","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TranformsOneIntoZero): default method, does nothing","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTranformsOneIntoZero"]},{"name" : "Tester(TranformsOneIntoZero)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformsInversesIntoAdditiveInverses","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TransformsInversesIntoAdditiveInverses: system getter","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformsInversesIntoAdditiveInverses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformsInversesIntoAdditiveInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformsInversesIntoAdditiveInverses): system setter","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformsInversesIntoAdditiveInverses): default method, does nothing","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformsInversesIntoAdditiveInverses"]},{"name" : "Tester(TransformsInversesIntoAdditiveInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformsAdditionIntoMultiplication","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TransformsAdditionIntoMultiplication: system getter","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformsAdditionIntoMultiplication)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformsAdditionIntoMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformsAdditionIntoMultiplication): system setter","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformsAdditionIntoMultiplication): default method, does nothing","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformsAdditionIntoMultiplication"]},{"name" : "Tester(TransformsAdditionIntoMultiplication)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformsZeroIntoOne","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TransformsZeroIntoOne: system getter","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformsZeroIntoOne)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformsZeroIntoOne)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformsZeroIntoOne): system setter","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformsZeroIntoOne): default method, does nothing","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformsZeroIntoOne"]},{"name" : "Tester(TransformsZeroIntoOne)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformsAdditiveInversesIntoInverses","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "TransformsAdditiveInversesIntoInverses: system getter","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformsAdditiveInversesIntoInverses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformsAdditiveInversesIntoInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformsAdditiveInversesIntoInverses): system setter","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformsAdditiveInversesIntoInverses): default method, does nothing","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformsAdditiveInversesIntoInverses"]},{"name" : "Tester(TransformsAdditiveInversesIntoInverses)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/mapphomo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Successors","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "Successors: system getter","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(Successors)"]]},{"rank" : 22,"comment" : "Successors: for a Green's equivalence","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensRelation"]]},{"rank" : 9,"comment" : "Successors: for a generic relation","location" : {"line" : 1141,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "Successors: default method requiring categories and checking properties","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Successors)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],[]]],"locations" : [{"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Successors): system setter","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Successors): default method, does nothing","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSuccessors"]},{"name" : "Tester(Successors)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSuccessors"]},{"name" : "DegreeOfBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "DegreeOfBinaryRelation: system getter","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfBinaryRelation)"]]},{"rank" : 0,"comment" : "DegreeOfBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],[]]],"locations" : [{"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfBinaryRelation): system setter","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfBinaryRelation): default method, does nothing","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfBinaryRelation"]},{"name" : "Tester(DegreeOfBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfBinaryRelation"]},{"name" : "IsReflexiveBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsReflexiveBinaryRelation: system getter","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReflexiveBinaryRelation)"]]},{"rank" : 12,"comment" : "IsReflexiveBinaryRelation: for binary relations on points","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsReflexiveBinaryRelation: reflexive test binary relation","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsReflexiveBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReflexiveBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReflexiveBinaryRelation): system setter","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReflexiveBinaryRelation): default method, does nothing","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReflexiveBinaryRelation"]},{"name" : "Tester(IsReflexiveBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSymmetricBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsSymmetricBinaryRelation: system getter","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSymmetricBinaryRelation)"]]},{"rank" : 12,"comment" : "IsSymmetricBinaryRelation: for binary relations on points","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsSymmetricBinaryRelation: symmetric test binary relation","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsSymmetricBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSymmetricBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSymmetricBinaryRelation): system setter","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSymmetricBinaryRelation): default method, does nothing","location" : {"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSymmetricBinaryRelation"]},{"name" : "Tester(IsSymmetricBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsTransitiveBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsTransitiveBinaryRelation: system getter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTransitiveBinaryRelation)"]]},{"rank" : 12,"comment" : "IsTransitiveBinaryRelation: for binary relations on points","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsTransitiveBinaryRelation: transitive test binary relation","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsTransitiveBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTransitiveBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTransitiveBinaryRelation): system setter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTransitiveBinaryRelation): default method, does nothing","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTransitiveBinaryRelation"]},{"name" : "Tester(IsTransitiveBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsAntisymmetricBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsAntisymmetricBinaryRelation: system getter","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAntisymmetricBinaryRelation)"]]},{"rank" : 12,"comment" : "IsAntisymmetricBinaryRelation: for binary relations on points","location" : {"line" : 1006,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsAntisymmetricBinaryRelation: test for Antisymmetry of a binary relation","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsAntisymmetricBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAntisymmetricBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAntisymmetricBinaryRelation): system setter","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAntisymmetricBinaryRelation): default method, does nothing","location" : {"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAntisymmetricBinaryRelation"]},{"name" : "Tester(IsAntisymmetricBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 386,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPreOrderBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsPreOrderBinaryRelation: system getter","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPreOrderBinaryRelation)"]]},{"rank" : 12,"comment" : "IsPreOrderBinaryRelation: for binary relations on points","location" : {"line" : 1011,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsPreOrderBinaryRelation: test for whether a binary relation is a preorder","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsPreOrderBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPreOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPreOrderBinaryRelation): system setter","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPreOrderBinaryRelation): default method, does nothing","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPreOrderBinaryRelation"]},{"name" : "Tester(IsPreOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPartialOrderBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsPartialOrderBinaryRelation: system getter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPartialOrderBinaryRelation)"]]},{"rank" : 12,"comment" : "IsPartialOrderBinaryRelation: for binary relations on points","location" : {"line" : 1016,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsPartialOrderBinaryRelation: test for whether a binary relation is a partial order","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsPartialOrderBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPartialOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPartialOrderBinaryRelation): system setter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPartialOrderBinaryRelation): default method, does nothing","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPartialOrderBinaryRelation"]},{"name" : "Tester(IsPartialOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLatticeOrderBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsLatticeOrderBinaryRelation: system getter","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLatticeOrderBinaryRelation)"]]},{"rank" : 9,"comment" : "IsLatticeOrderBinaryRelation: test for whether a binary relation is a lattice order","location" : {"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsLatticeOrderBinaryRelation: default method requiring categories and checking properties","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLatticeOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLatticeOrderBinaryRelation): system setter","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLatticeOrderBinaryRelation): default method, does nothing","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLatticeOrderBinaryRelation"]},{"name" : "Tester(IsLatticeOrderBinaryRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsEquivalenceRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsEquivalenceRelation: system getter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsEquivalenceRelation)"]]},{"rank" : 12,"comment" : "IsEquivalenceRelation: for binary relations on points","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "IsEquivalenceRelation: test for equivalence relation","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]},{"rank" : 0,"comment" : "IsEquivalenceRelation: default method requiring categories and checking properties","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsEquivalenceRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsEquivalenceRelation): system setter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsEquivalenceRelation): default method, does nothing","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsEquivalenceRelation"]},{"name" : "Tester(IsEquivalenceRelation)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ReflexiveClosureBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "ReflexiveClosureBinaryRelation: for binary relations on points","location" : {"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "ReflexiveClosureBinaryRelation: for binary relation","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReflexiveClosureBinaryRelation"]},{"name" : "SymmetricClosureBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 536,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "SymmetricClosureBinaryRelation: for binary relations on points","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "SymmetricClosureBinaryRelation: for binary relation","location" : {"line" : 498,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymmetricClosureBinaryRelation"]},{"name" : "TransitiveClosureBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 564,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "TransitiveClosureBinaryRelation: for binary relations on points","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 9,"comment" : "TransitiveClosureBinaryRelation: for binary relation","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransitiveClosureBinaryRelation"]},{"name" : "HasseDiagramBinaryRelation","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 9,"comment" : "HasseDiagramBinaryRelation: for binary relation","location" : {"line" : 641,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasseDiagramBinaryRelation"]},{"name" : "IsHasseDiagram","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsHasseDiagram: system getter","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsHasseDiagram)"]]},{"rank" : 0,"comment" : "IsHasseDiagram: default method requiring categories and checking properties","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsHasseDiagram)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],["IsBool"]]],"locations" : [{"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsHasseDiagram): system setter","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsHasseDiagram): default method, does nothing","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsHasseDiagram"]},{"name" : "Tester(IsHasseDiagram)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PartialOrderOfHasseDiagram","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "PartialOrderOfHasseDiagram: system getter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(PartialOrderOfHasseDiagram)"]]},{"rank" : 0,"comment" : "PartialOrderOfHasseDiagram: default method requiring categories and checking properties","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PartialOrderOfHasseDiagram)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"],[]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PartialOrderOfHasseDiagram): system setter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PartialOrderOfHasseDiagram): default method, does nothing","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPartialOrderOfHasseDiagram"]},{"name" : "Tester(PartialOrderOfHasseDiagram)","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPartialOrderOfHasseDiagram"]},{"name" : "StronglyConnectedComponents","type" : "GAP_Operation","filters" : [[["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]],"locations" : [{"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 9,"comment" : "StronglyConnectedComponents: for general binary relations","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StronglyConnectedComponents"]},{"name" : "EquivalenceRelationPartition","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "EquivalenceRelationPartition: system getter","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(EquivalenceRelationPartition)"]]},{"rank" : 26,"comment" : "EquivalenceRelationPartition: for a congruence on a magma","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"]]},{"rank" : 22,"comment" : "EquivalenceRelationPartition: for a Green's equivalence","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation"]]},{"rank" : 22,"comment" : "EquivalenceRelationPartition: for a right congruence on a magma","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"]]},{"rank" : 22,"comment" : "EquivalenceRelationPartition: for a left congruence on a magma","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"]]},{"rank" : 21,"comment" : "EquivalenceRelationPartition: compute the partition for an arbitrary equiv rel","location" : {"line" : 1713,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]},{"rank" : 0,"comment" : "EquivalenceRelationPartition: default method requiring categories and checking properties","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EquivalenceRelationPartition)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]],"locations" : [{"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EquivalenceRelationPartition): system setter","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EquivalenceRelationPartition): default method, does nothing","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEquivalenceRelationPartition"]},{"name" : "Tester(EquivalenceRelationPartition)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEquivalenceRelationPartition"]},{"name" : "GeneratorsOfEquivalenceRelationPartition","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "GeneratorsOfEquivalenceRelationPartition: system getter","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfEquivalenceRelationPartition)"]]},{"rank" : 21,"comment" : "GeneratorsOfEquivalenceRelationPartition: generators for an equivalence with a partition","location" : {"line" : 1796,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]},{"rank" : 0,"comment" : "GeneratorsOfEquivalenceRelationPartition: default method requiring categories and checking properties","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfEquivalenceRelationPartition)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]],"locations" : [{"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfEquivalenceRelationPartition): system setter","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfEquivalenceRelationPartition): default method, does nothing","location" : {"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfEquivalenceRelationPartition"]},{"name" : "Tester(GeneratorsOfEquivalenceRelationPartition)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 704,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfEquivalenceRelationPartition"]},{"name" : "JoinEquivalenceRelations","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 811,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "JoinEquivalenceRelations: join of two equivalence relations","location" : {"line" : 1736,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["JoinEquivalenceRelations"]},{"name" : "MeetEquivalenceRelations","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 813,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "MeetEquivalenceRelations: meet of two equivalence relations","location" : {"line" : 1774,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MeetEquivalenceRelations"]},{"name" : "EquivalenceClassRelation","type" : "GAP_Operation","filters" : [[["IsEquivalenceClass"]]],"locations" : [{"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "EquivalenceClassRelation: system getter","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(EquivalenceClassRelation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EquivalenceClassRelation)","type" : "GAP_Operation","filters" : [[["IsEquivalenceClass"],[]]],"locations" : [{"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EquivalenceClassRelation): system setter","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EquivalenceClassRelation): default method, does nothing","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEquivalenceClassRelation"]},{"name" : "Tester(EquivalenceClassRelation)","type" : "GAP_Operation","filters" : [[["IsEquivalenceClass"]]],"locations" : [{"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEquivalenceClassRelation"]},{"name" : "EquivalenceClasses","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "EquivalenceClasses: system getter","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep","Tester(EquivalenceClasses)"]]},{"rank" : 26,"comment" : "EquivalenceClasses: for magma congruences","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"]]},{"rank" : 23,"comment" : "EquivalenceClasses: for a Green's J-relation","location" : {"line" : 488,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensJRelation"]]},{"rank" : 23,"comment" : "EquivalenceClasses: for a Green's D-relation","location" : {"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensDRelation"]]},{"rank" : 23,"comment" : "EquivalenceClasses: for a Green's H-relation","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensHRelation"]]},{"rank" : 23,"comment" : "EquivalenceClasses: for a Green's L-relation","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensLRelation"]]},{"rank" : 23,"comment" : "EquivalenceClasses: for a Green's R-relation","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRRelation"]]},{"rank" : 21,"comment" : "EquivalenceClasses: wraparound to call 2-argument version","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]},{"rank" : 0,"comment" : "EquivalenceClasses: default method requiring categories and checking properties","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[]]}],"2args" : [{"rank" : 23,"comment" : "EquivalenceClasses: for a generic equivalence relation","location" : {"line" : 2026,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EquivalenceClasses)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EquivalenceClasses): system setter","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EquivalenceClasses): default method, does nothing","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEquivalenceClasses"]},{"name" : "Tester(EquivalenceClasses)","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEquivalenceClasses"]},{"name" : "EquivalenceClassOfElement","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]],"locations" : [{"line" : 897,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "EquivalenceClassOfElement: for magma congruence with checking","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"],[]]},{"rank" : 22,"comment" : "EquivalenceClassOfElement: for right magma congruence with checking","location" : {"line" : 1067,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"],[]]},{"rank" : 22,"comment" : "EquivalenceClassOfElement: for left magma congruence with checking","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"],[]]},{"rank" : 21,"comment" : "EquivalenceClassOfElement: with checking","location" : {"line" : 2075,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EquivalenceClassOfElement"]},{"name" : "EquivalenceClassOfElementNC","type" : "GAP_Operation","filters" : [[["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]],"locations" : [{"line" : 900,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "EquivalenceClassOfElementNC: for magma congruence with no check","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"],[]]},{"rank" : 22,"comment" : "EquivalenceClassOfElementNC: for a Green's relation and object","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation"],[]]},{"rank" : 22,"comment" : "EquivalenceClassOfElementNC: for magma congruence with no check","location" : {"line" : 1034,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsRightMagmaCongruence"],[]]},{"rank" : 22,"comment" : "EquivalenceClassOfElementNC: for magma congruence with no check","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsLeftMagmaCongruence"],[]]},{"rank" : 21,"comment" : "EquivalenceClassOfElementNC: no check","location" : {"line" : 2064,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEquivalenceRelation","Tester(IsEquivalenceRelation)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EquivalenceClassOfElementNC"]},{"name" : "MagmaByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "MagmaByGenerators: for collection","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "MagmaByGenerators: for family and list","location" : {"line" : 608,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaByGenerators"]},{"name" : "MagmaWithOneByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "MagmaWithOneByGenerators: for collection","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "MagmaWithOneByGenerators: for family and list","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaWithOneByGenerators"]},{"name" : "MagmaWithInversesByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "MagmaWithInversesByGenerators: for collection","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsCollection","IsFinite","Tester(IsFinite)"]]}],"2args" : [{"rank" : 8,"comment" : "MagmaWithInversesByGenerators: for family and list","location" : {"line" : 687,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsFamily"],["IsList","IsFinite","Tester(IsFinite)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaWithInversesByGenerators"]},{"name" : "AsMagma","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsMagma: system getter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsMagma)"]]},{"rank" : 111,"comment" : "AsMagma: for a magma (return the argument)","location" : {"line" : 1185,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]},{"rank" : 2,"comment" : "AsMagma: generic method for collections","location" : {"line" : 1212,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsMagma)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsMagma): system setter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsMagma): default method, does nothing","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsMagma"]},{"name" : "Tester(AsMagma)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsMagma"]},{"name" : "AsSubmagma","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "AsSubmagma: generic method for a domain and a collection","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubmagma"]},{"name" : "GeneratorsOfMagma","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "GeneratorsOfMagma: system getter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfMagma)"]]},{"rank" : 30,"comment" : "GeneratorsOfMagma","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 23,"comment" : "GeneratorsOfMagma","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsAttributeStoringRep","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "GeneratorsOfMagma","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 18,"comment" : "GeneratorsOfMagma: for a magma-with-inv. with gens., all elms. of finite order","location" : {"line" : 783,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["CategoryCollections(IsFiniteOrderElement)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 18,"comment" : "GeneratorsOfMagma: for a magma-with-one with generators, all elms. of finite order","location" : {"line" : 768,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["CategoryCollections(IsFiniteOrderElement)","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagma: for a Rees 0-matrix semigroup","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagma: for a Rees matrix semigroup","location" : {"line" : 1176,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagma: for a magma-with-inverses with known generators","location" : {"line" : 753,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 14,"comment" : "GeneratorsOfMagma: for a magma-with-one with known generators","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 11,"comment" : "GeneratorsOfMagma: generic method for a magma (take domain generators)","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfMagma)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfMagma): system setter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfMagma): default method, does nothing","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfMagma","SetGeneratorsOfSemigroup"]},{"name" : "Tester(GeneratorsOfMagma)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfMagma","HasGeneratorsOfSemigroup"]},{"name" : "GeneratorsOfMagmaWithOne","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "GeneratorsOfMagmaWithOne: system getter","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 34,"comment" : "GeneratorsOfMagmaWithOne","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 18,"comment" : "GeneratorsOfMagmaWithOne: for a magma-with-inv. with gens., all elms. of finite order","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["CategoryCollections(IsFiniteOrderElement)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagmaWithOne: for a magma-with-inverses with generators","location" : {"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 14,"comment" : "GeneratorsOfMagmaWithOne: for a magma-with-one with known magma generators (take them)","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfMagmaWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"],[]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfMagmaWithOne): system setter","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfMagmaWithOne): default method, does nothing","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfMagmaWithOne","SetGeneratorsOfMonoid"]},{"name" : "Tester(GeneratorsOfMagmaWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfMagmaWithOne","HasGeneratorsOfMonoid"]},{"name" : "GeneratorsOfMagmaWithInverses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses"]]],"locations" : [{"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20019,"comment" : "GeneratorsOfMagmaWithInverses: system getter","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfMagmaWithInverses)"]]},{"rank" : 369,"comment" : "GeneratorsOfMagmaWithInverses","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 38,"comment" : "GeneratorsOfMagmaWithInverses: for whole family f.p. group","location" : {"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "GeneratorsOfMagmaWithInverses: subgroup fp, via augmented coset table","location" : {"line" : 4304,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 36,"comment" : "GeneratorsOfMagmaWithInverses: Schreier generators","location" : {"line" : 4304,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ElementTestFunction)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagmaWithInverses: for a magma-with-inverses with known magma-with-one gen.s (take them)","location" : {"line" : 848,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithOne)"]]},{"rank" : 17,"comment" : "GeneratorsOfMagmaWithInverses: for a magma-with-inverses with known magma generators (take them)","location" : {"line" : 842,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfMagmaWithInverses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses"],[]]],"locations" : [{"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfMagmaWithInverses): system setter","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfMagmaWithInverses): default method, does nothing","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfGroup","SetGeneratorsOfMagmaWithInverses"]},{"name" : "Tester(GeneratorsOfMagmaWithInverses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses"]]],"locations" : [{"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfGroup","HasGeneratorsOfMagmaWithInverses"]},{"name" : "IsGeneratorsOfMagmaWithInverses","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsGeneratorsOfMagmaWithInverses: system getter","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGeneratorsOfMagmaWithInverses)"]]},{"rank" : 10022,"comment" : "IsGeneratorsOfMagmaWithInverses: for a collection of cyclotomics (return false)","location" : {"line" : 1746,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 22,"comment" : "IsGeneratorsOfMagmaWithInverses: for a collection of FFEs","location" : {"line" : 1125,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryCollections(IsFFE)"]]},{"rank" : 16,"comment" : "IsGeneratorsOfMagmaWithInverses: for a list of matrices","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]]},{"rank" : 16,"comment" : "IsGeneratorsOfMagmaWithInverses: for a collection of free magma ring elements","location" : {"line" : 1679,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["CategoryCollections(IsElementOfMagmaRingModuloRelations)"]]},{"rank" : 16,"comment" : "IsGeneratorsOfMagmaWithInverses: for list of direct product elements","location" : {"line" : 343,"file" : "\/home\/makx\/ac\/gap\/lib\/tuples.gi"},"filters" : [["CategoryCollections(IsDirectProductElement)"]]},{"rank" : 15,"comment" : "IsGeneratorsOfMagmaWithInverses: for a partial perm collection","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "IsGeneratorsOfMagmaWithInverses: for a transformation collection","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 13,"comment" : "IsGeneratorsOfMagmaWithInverses: for a collection of general mappings","location" : {"line" : 1543,"file" : "\/home\/makx\/ac\/gap\/lib\/mapping.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)"]]},{"rank" : 11,"comment" : "IsGeneratorsOfMagmaWithInverses: cosets","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]]},{"rank" : 2,"comment" : "IsGeneratorsOfMagmaWithInverses: for a collection of magma by mult table elements","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsCollection"]]},{"rank" : 2,"comment" : "IsGeneratorsOfMagmaWithInverses: for an empty list","location" : {"line" : 4178,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList"]]},{"rank" : 1,"comment" : "IsGeneratorsOfMagmaWithInverses: for a list or collection","location" : {"line" : 4202,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGeneratorsOfMagmaWithInverses)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsBool"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGeneratorsOfMagmaWithInverses): system setter","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGeneratorsOfMagmaWithInverses): default method, does nothing","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGeneratorsOfMagmaWithInverses"]},{"name" : "Tester(IsGeneratorsOfMagmaWithInverses)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TrivialSubmagmaWithOne","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "TrivialSubmagmaWithOne: system getter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(TrivialSubmagmaWithOne)"]]},{"rank" : 13,"comment" : "TrivialSubmagmaWithOne: for magma-with-one","location" : {"line" : 699,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TrivialSubmagmaWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"],[]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TrivialSubmagmaWithOne): system setter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TrivialSubmagmaWithOne): default method, does nothing","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTrivialSubgroup","SetTrivialSubmagmaWithOne","SetTrivialSubmonoid"]},{"name" : "Tester(TrivialSubmagmaWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTrivialSubgroup","HasTrivialSubmagmaWithOne","HasTrivialSubmonoid"]},{"name" : "IsAssociative","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "IsAssociative: system getter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "IsAssociative: for a free magma ring","location" : {"line" : 1079,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 34,"comment" : "IsAssociative: generic method for a (finite dimensional) FLMLOR","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 13,"comment" : "IsAssociative: for a magma of nonassoc. words","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["IsMagma","CategoryCollections(IsNonassocWord)"]]},{"rank" : 11,"comment" : "IsAssociative: for a magma","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAssociative)","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsBool"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAssociative): system setter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAssociative): default method, does nothing","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAssociative"]},{"name" : "Tester(IsAssociative)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCommutative","type" : "GAP_Operation","filters" : [[["IsMagma"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "IsCommutative: system getter","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCommutative)"]]},{"rank" : 48,"comment" : "IsCommutative: finite fp grp","location" : {"line" : 2117,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","Tester(Size)","IsSubgroupFpGroup"]]},{"rank" : 45,"comment" : "IsCommutative: for a free group","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(IsFinitelyGeneratedGroup)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 43,"comment" : "IsCommutative: for an associative FLMLOR-with-one","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 38,"comment" : "IsCommutative: for finitely presented groups","location" : {"line" : 2106,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "IsCommutative: for an associative FLMLOR","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 36,"comment" : "IsCommutative: for direct products","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 36,"comment" : "IsCommutative: for a free magma ring","location" : {"line" : 1090,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 35,"comment" : "IsCommutative: for an associative ring-with-one","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "IsCommutative: generic method for groups","location" : {"line" : 4162,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "IsCommutative","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 34,"comment" : "IsCommutative: generic method for a finite dimensional FLMLOR","location" : {"line" : 978,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 34,"comment" : "IsCommutative: for an associative magma with inverses","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "IsCommutative: for an associative ring","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 29,"comment" : "IsCommutative","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["Tester(Characteristic)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsAnticommutative","Tester(IsAnticommutative)"]]},{"rank" : 22,"comment" : "IsCommutative: for an ordinary character table","location" : {"line" : 1181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 20,"comment" : "IsCommutative: for associative magma-with-one","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "IsCommutative","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 19,"comment" : "IsCommutative: for an associative magma with one","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 16,"comment" : "IsCommutative","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "IsCommutative: for an associative magma","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 11,"comment" : "IsCommutative: for a magma","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCommutative)","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsBool"]]],"locations" : [{"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCommutative): system setter","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCommutative): default method, does nothing","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAbelian","SetIsCommutative"]},{"name" : "Tester(IsCommutative)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "MultiplicativeNeutralElement","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "MultiplicativeNeutralElement: for a magma-with-one","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 20014,"comment" : "MultiplicativeNeutralElement: system getter","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 36,"comment" : "MultiplicativeNeutralElement","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)"]]},{"rank" : 11,"comment" : "MultiplicativeNeutralElement: for a magma","location" : {"line" : 910,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MultiplicativeNeutralElement)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 12,"comment" : "Setter(MultiplicativeNeutralElement): for a magma-with-one","location" : {"line" : 939,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],["IsBool"]]},{"rank" : 2,"comment" : "Setter(MultiplicativeNeutralElement): system setter","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MultiplicativeNeutralElement): default method, does nothing","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMultiplicativeNeutralElement"]},{"name" : "Tester(MultiplicativeNeutralElement)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMultiplicativeNeutralElement"]},{"name" : "Centre","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "Centre: system getter","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(Centre)"]]},{"rank" : 10017,"comment" : "Centre: for an associative and commutative magma","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 58,"comment" : "Centre: for a permutation group","location" : {"line" : 1924,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "Centre: pcgs computable groups using special pcgs","location" : {"line" : 911,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]],"aka" : ["CentrePcGroup"]},{"rank" : 38,"comment" : "Centre: for a group ring","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsGroupRing","Tester(IsGroupRing)"]]},{"rank" : 34,"comment" : "Centre: for a finite dimensional FLMLOR","location" : {"line" : 2551,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 15,"comment" : "Centre: for an associative magma","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 11,"comment" : "Centre: generic method for a magma","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Centre)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Centre): system setter","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Centre): default method, does nothing","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCenter","SetCentre"]},{"name" : "Tester(Centre)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCenter","HasCentre"]},{"name" : "Idempotents","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "Idempotents: system getter","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(Idempotents)"]]},{"rank" : 11,"comment" : "Idempotents: for finite magmas","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Idempotents)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Idempotents): system setter","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Idempotents): default method, does nothing","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdempotents"]},{"name" : "Tester(Idempotents)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdempotents"]},{"name" : "IsCentral","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 655,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 86,"comment" : "IsCentral: for two associative FLMLORs-with-one","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 76,"comment" : "IsCentral: for two associative FLMLORs","location" : {"line" : 3265,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 70,"comment" : "IsCentral: for two associative rings-with-one","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 70,"comment" : "IsCentral: generic method for two groups","location" : {"line" : 3148,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 68,"comment" : "IsCentral: for two FLMLORs","location" : {"line" : 3258,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 60,"comment" : "IsCentral: for two associative rings","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 34,"comment" : "IsCentral: for two magmas-with-inverses","location" : {"line" : 1135,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithInverses"],["IsMagmaWithInverses"]]},{"rank" : 28,"comment" : "IsCentral: for two magmas-with-one","location" : {"line" : 1123,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagmaWithOne"],["IsMagmaWithOne"]]},{"rank" : 22,"comment" : "IsCentral: for two magmas","location" : {"line" : 1111,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],["IsMagma"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsCentral"]},{"name" : "CentralizerOp","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 11,"comment" : "CentralizerOp","location" : {"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : 11,"comment" : "CentralizerOp","location" : {"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]}],"2args" : [{"rank" : 10024,"comment" : "CentralizerOp: for two magmas, the first being commutative","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","IsCommutative","Tester(IsCommutative)"],["IsMagma"]]},{"rank" : 10016,"comment" : "CentralizerOp: for a commutative magma, and a mult. element","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma","IsCommutative","Tester(IsCommutative)"],["IsMultiplicativeElement"]]},{"rank" : 866,"comment" : "CentralizerOp: TF method:subgroup","location" : {"line" : 2892,"file" : "\/home\/makx\/ac\/gap\/lib\/clashom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 740,"comment" : "CentralizerOp: handled by nice monomorphism: Subgroup CollColl","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 438,"comment" : "CentralizerOp: TF method:elm","location" : {"line" : 2874,"file" : "\/home\/makx\/ac\/gap\/lib\/clashom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 370,"comment" : "CentralizerOp: handled by nice monomorphism: subgroup CollElm","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],[]]},{"rank" : 123,"comment" : "CentralizerOp: for full (associative) matrix FLMLOR, and FLMLOR","location" : {"line" : 1176,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)","IsGaussianSpace"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 116,"comment" : "CentralizerOp: perm group, perm group","location" : {"line" : 2931,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 104,"comment" : "CentralizerOp","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsNaturalGL","Tester(IsNaturalGL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 101,"comment" : "CentralizerOp: for full (associative) matrix FLMLOR, and left module","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)","IsGaussianSpace"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 100,"comment" : "CentralizerOp: for associative Gaussian matrix FLMLOR-with-one, and FLMLOR","location" : {"line" : 1094,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsGaussianSpace"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 95,"comment" : "CentralizerOp: for associative Gaussian matrix FLMLOR, and FLMLOR","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsGaussianSpace"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 90,"comment" : "CentralizerOp: pcgs computable groups","location" : {"line" : 1468,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 88,"comment" : "CentralizerOp: for associative Gaussian matrix FLMLOR-with-one, and ordinary matrix","location" : {"line" : 1075,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsGaussianSpace"],["IsOrdinaryMatrix"]]},{"rank" : 84,"comment" : "CentralizerOp: for full (associative) matrix FLMLOR, and empty list","location" : {"line" : 1216,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 84,"comment" : "CentralizerOp: for full (associative) matrix FLMLOR, and list of matrices","location" : {"line" : 1205,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)","IsGaussianSpace"],["IsList","IsCollection"]]},{"rank" : 83,"comment" : "CentralizerOp: for associative Gaussian matrix FLMLOR, and ordinary matrix","location" : {"line" : 1038,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsGaussianSpace"],["IsOrdinaryMatrix"]]},{"rank" : 77,"comment" : "CentralizerOp: for a fin. dim. assoc. algebra and an algebra with parent","location" : {"line" : 2391,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["Tester(ParentAttr)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 76,"comment" : "CentralizerOp: for a fin. dim. assoc. algebra and an algebra","location" : {"line" : 2427,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 70,"comment" : "CentralizerOp: element in natural symmetric group","location" : {"line" : 1130,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsPerm"]]},{"rank" : 70,"comment" : "CentralizerOp: element in natural alternating group","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsPerm"]]},{"rank" : 70,"comment" : "CentralizerOp: generic method for two groups","location" : {"line" : 3271,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 66,"comment" : "CentralizerOp: perm group,elm","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"]]},{"rank" : 62,"comment" : "CentralizerOp: for a finite dimensional algebra and a vector space with parent","location" : {"line" : 2372,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["Tester(ParentAttr)","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 61,"comment" : "CentralizerOp: for a finite dimensional algebra and a vector space","location" : {"line" : 2409,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 50,"comment" : "CentralizerOp: pcgs computable group and element","location" : {"line" : 1448,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 36,"comment" : "CentralizerOp: for an algebra and an element","location" : {"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]},{"rank" : 35,"comment" : "CentralizerOp: generic method for group and object","location" : {"line" : 3256,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]},{"rank" : 22,"comment" : "CentralizerOp: for two magmas","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],["IsMagma"]]},{"rank" : 14,"comment" : "CentralizerOp: for a magma, and a mult. element","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],["IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "CentralizerOp:  fallback method to test conditions","location" : {"line" : 467,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 11,"comment" : "CentralizerOp: dummy to ignore optional third argument","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gi"},"filters" : [["IsMagma"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CentraliserOp","CentralizerOp"]},{"name" : "CentralizerInParent","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "CentralizerInParent: system getter","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentralizerInParent)"]]},{"rank" : 6,"comment" : "CentralizerInParent: method that calls the two-argument operation CentralizerOp","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["Tester(ParentAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentralizerInParent)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentralizerInParent): system setter","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentralizerInParent): default method, does nothing","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentralizerInParent"]},{"name" : "Tester(CentralizerInParent)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentralizerInParent"]},{"name" : "Centralizer","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 11,"comment" : "Centralizer","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]}],"2args" : [{"rank" : 11,"comment" : "Centralizer: try to exploit the in-parent attribute CentralizerInParent","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsMagma"],[]]}],"3args" : [{"rank" : 124,"comment" : "Centralizer: with given subgroup","location" : {"line" : 2940,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Centraliser","Centralizer"]},{"name" : "SquareRoots","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 723,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 74,"comment" : "SquareRoots: for prime field and object in Z\/pZ","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsFFE","IsZmodnZObj","IsModulusRep"]]},{"rank" : 69,"comment" : "SquareRoots: for a field of FFEs, and a FFE","location" : {"line" : 867,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SquareRoots"]},{"name" : "MagmaGeneratorsOfFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MagmaGeneratorsOfFamily: system getter","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep","Tester(MagmaGeneratorsOfFamily)"]]},{"rank" : 4,"comment" : "MagmaGeneratorsOfFamily: for a family of assoc. words","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 3,"comment" : "MagmaGeneratorsOfFamily: for a family of free monoid elements","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]},{"rank" : 2,"comment" : "MagmaGeneratorsOfFamily: for a family of free semigroup elements","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))"]]},{"rank" : 2,"comment" : "MagmaGeneratorsOfFamily: for a family of free magma elements","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmfree.gi"},"filters" : [["CategoryFamily(IsNonassocWord)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MagmaGeneratorsOfFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MagmaGeneratorsOfFamily): system setter","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MagmaGeneratorsOfFamily): default method, does nothing","location" : {"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMagmaGeneratorsOfFamily"]},{"name" : "Tester(MagmaGeneratorsOfFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 937,"file" : "\/home\/makx\/ac\/gap\/lib\/magma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMagmaGeneratorsOfFamily"]},{"name" : "AsLeftMagmaIdeal","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "AsLeftMagmaIdeal: generic method for a domain and a collection","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsLeftMagmaIdeal"]},{"name" : "LeftMagmaIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsCollection"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "LeftMagmaIdealByGenerators: for a collection of magma elements","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsMagma"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftMagmaIdealByGenerators"]},{"name" : "AsRightMagmaIdeal","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsRightMagmaIdeal"]},{"name" : "RightMagmaIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsCollection"]]],"locations" : [{"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "RightMagmaIdealByGenerators: for a collection of magma elements","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsMagma"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightMagmaIdealByGenerators"]},{"name" : "AsMagmaIdeal","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsMagmaIdeal"]},{"name" : "GeneratorsOfMagmaIdeal","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GeneratorsOfMagmaIdeal: system getter","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfMagmaIdeal)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfMagmaIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"],[]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfMagmaIdeal): system setter","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfMagmaIdeal): default method, does nothing","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfMagmaIdeal"]},{"name" : "Tester(GeneratorsOfMagmaIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfMagmaIdeal"]},{"name" : "MagmaIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsCollection"]]],"locations" : [{"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "MagmaIdealByGenerators: for a collection of magma elements","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmideal.gi"},"filters" : [["IsMagma"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaIdealByGenerators","SemigroupIdealByGenerators"]},{"name" : "NaturalHomomorphismByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsMagma"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmhom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 47,"comment" : "NaturalHomomorphismByGenerators: for a free monoid and monoid","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "NaturalHomomorphismByGenerators: for an fp monoid and monoid","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "NaturalHomomorphismByGenerators: for a free semigroup and semigroup","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "NaturalHomomorphismByGenerators: for an fp semigroup and semigroup","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismByGenerators"]},{"name" : "MultiplicativeZeroOp","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero"]],[["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "MultiplicativeZeroOp: for a Rees matrix semigroup","location" : {"line" : 881,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 7,"comment" : "MultiplicativeZeroOp: for an element of a magma with zero adjoined","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MultiplicativeZeroOp"]},{"name" : "MultiplicativeZero","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero"]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "MultiplicativeZero: system getter","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep","Tester(MultiplicativeZero)"]]},{"rank" : 11,"comment" : "MultiplicativeZero: for a magma","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MultiplicativeZero)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero"],[]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MultiplicativeZero): system setter","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MultiplicativeZero): default method, does nothing","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMultiplicativeZero"]},{"name" : "Tester(MultiplicativeZero)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero"]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMultiplicativeZero"]},{"name" : "IsMultiplicativeZero","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "IsMultiplicativeZero: for a semigroup with generators and multiplicative element","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElement"]]},{"rank" : 17,"comment" : "IsMultiplicativeZero: for magma with multiplicative zero and multiplicative element","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma","Tester(MultiplicativeZero)"],["IsMultiplicativeElement"]]},{"rank" : 14,"comment" : "IsMultiplicativeZero: for a magma and multiplicative element","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma"],["IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsMultiplicativeZero"]},{"name" : "InjectionZeroMagma","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "InjectionZeroMagma: system getter","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep","Tester(InjectionZeroMagma)"]]},{"rank" : 11,"comment" : "InjectionZeroMagma: for a magma","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InjectionZeroMagma)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InjectionZeroMagma): system setter","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InjectionZeroMagma): default method, does nothing","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInjectionZeroMagma"]},{"name" : "Tester(InjectionZeroMagma)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInjectionZeroMagma"]},{"name" : "MagmaWithZeroAdjoined","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"]],[["IsMagma"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "MagmaWithZeroAdjoined: system getter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep","Tester(MagmaWithZeroAdjoined)"]]},{"rank" : 11,"comment" : "MagmaWithZeroAdjoined: for a magma","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagma"]]},{"rank" : 7,"comment" : "MagmaWithZeroAdjoined: for a magma with 0 adjoined element","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gi"},"filters" : [["IsMagmaWithZeroAdjoinedElementRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MagmaWithZeroAdjoined)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"],[]],[["IsMagma"],[]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MagmaWithZeroAdjoined): system setter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MagmaWithZeroAdjoined): default method, does nothing","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMagmaWithZeroAdjoined"]},{"name" : "Tester(MagmaWithZeroAdjoined)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMagmaWithZeroAdjoined"]},{"name" : "UnderlyingInjectionZeroMagma","type" : "GAP_Operation","filters" : [[["IsMagmaWithZeroAdjoined"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "UnderlyingInjectionZeroMagma: system getter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingInjectionZeroMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingInjectionZeroMagma)","type" : "GAP_Operation","filters" : [[["IsMagmaWithZeroAdjoined"],[]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingInjectionZeroMagma): system setter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingInjectionZeroMagma): default method, does nothing","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingInjectionZeroMagma"]},{"name" : "Tester(UnderlyingInjectionZeroMagma)","type" : "GAP_Operation","filters" : [[["IsMagmaWithZeroAdjoined"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmadj.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingInjectionZeroMagma"]},{"name" : "GeneratingPairsOfLeftMagmaCongruence","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]]],"locations" : [{"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "GeneratingPairsOfLeftMagmaCongruence: system getter","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratingPairsOfLeftMagmaCongruence)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratingPairsOfLeftMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"],[]]],"locations" : [{"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratingPairsOfLeftMagmaCongruence): system setter","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratingPairsOfLeftMagmaCongruence): default method, does nothing","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratingPairsOfLeftMagmaCongruence"]},{"name" : "Tester(GeneratingPairsOfLeftMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]]],"locations" : [{"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratingPairsOfLeftMagmaCongruence"]},{"name" : "PartialClosureOfCongruence","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]],[["IsRightMagmaCongruence"]],[["IsMagmaCongruence"]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "PartialClosureOfCongruence: system getter","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep","Tester(PartialClosureOfCongruence)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PartialClosureOfCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"],[]],[["IsRightMagmaCongruence"],[]],[["IsMagmaCongruence"],[]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PartialClosureOfCongruence): system mutable setter","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PartialClosureOfCongruence): default method, does nothing","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPartialClosureOfCongruence"]},{"name" : "Tester(PartialClosureOfCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPartialClosureOfCongruence"]},{"name" : "LeftMagmaCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsList"]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "LeftMagmaCongruenceByGeneratingPairs: for a magma and an empty list","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 13,"comment" : "LeftMagmaCongruenceByGeneratingPairs: for a magma and a list of pairs of its elements","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftMagmaCongruenceByGeneratingPairs"]},{"name" : "GeneratingPairsOfRightMagmaCongruence","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "GeneratingPairsOfRightMagmaCongruence: system getter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratingPairsOfRightMagmaCongruence)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratingPairsOfRightMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"],[]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratingPairsOfRightMagmaCongruence): system setter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratingPairsOfRightMagmaCongruence): default method, does nothing","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratingPairsOfRightMagmaCongruence"]},{"name" : "Tester(GeneratingPairsOfRightMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratingPairsOfRightMagmaCongruence"]},{"name" : "RightMagmaCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsList"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "RightMagmaCongruenceByGeneratingPairs: for a magma and an empty list","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 13,"comment" : "RightMagmaCongruenceByGeneratingPairs: for a magma and a list of pairs of its elements","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightMagmaCongruenceByGeneratingPairs"]},{"name" : "MagmaCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma"],["IsList"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "MagmaCongruenceByGeneratingPairs: for a magma and an empty list","location" : {"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 13,"comment" : "MagmaCongruenceByGeneratingPairs: for a magma and a list of pairs of its elements","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagma"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaCongruenceByGeneratingPairs"]},{"name" : "GeneratingPairsOfMagmaCongruence","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratingPairsOfMagmaCongruence: system getter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratingPairsOfMagmaCongruence)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratingPairsOfMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"],[]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratingPairsOfMagmaCongruence): system setter","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratingPairsOfMagmaCongruence): default method, does nothing","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratingPairsOfMagmaCongruence"]},{"name" : "Tester(GeneratingPairsOfMagmaCongruence)","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratingPairsOfMagmaCongruence"]},{"name" : "JoinMagmaCongruences","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"],["IsMagmaCongruence"]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "JoinMagmaCongruences: for magma congruences","location" : {"line" : 797,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"],["IsMagmaCongruence"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["JoinMagmaCongruences","JoinSemigroupCongruences"]},{"name" : "MeetMagmaCongruences","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"],["IsMagmaCongruence"]]],"locations" : [{"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "MeetMagmaCongruences: for magma congruences","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmcong.gi"},"filters" : [["IsMagmaCongruence"],["IsMagmaCongruence"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MeetMagmaCongruences","MeetSemigroupCongruences"]},{"name" : "SemigroupCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "SemigroupCongruenceByGeneratingPairs: for a semigroup and an empty list","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "SemigroupCongruenceByGeneratingPairs: for a semigroup and a list of pairs of its elements","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemigroupCongruenceByGeneratingPairs"]},{"name" : "RightSemigroupCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "RightSemigroupCongruenceByGeneratingPairs: for a Semigroup and an empty list","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "RightSemigroupCongruenceByGeneratingPairs: for a Semigroup and a list of pairs of its elements","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightSemigroupCongruenceByGeneratingPairs"]},{"name" : "LeftSemigroupCongruenceByGeneratingPairs","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "LeftSemigroupCongruenceByGeneratingPairs: for a Semigroup and an empty list","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "LeftSemigroupCongruenceByGeneratingPairs: for a Semigroup  and a list of pairs of its elements","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftSemigroupCongruenceByGeneratingPairs"]},{"name" : "IsLeftSemigroupCongruence","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsLeftSemigroupCongruence: system getter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftSemigroupCongruence)"]]},{"rank" : 22,"comment" : "IsLeftSemigroupCongruence: test whether a left magma congruence is a semigroup a congruence","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsLeftMagmaCongruence"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"],["IsBool"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftSemigroupCongruence): system setter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftSemigroupCongruence): default method, does nothing","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftSemigroupCongruence"]},{"name" : "Tester(IsLeftSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsLeftMagmaCongruence"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightSemigroupCongruence","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsRightSemigroupCongruence: system getter","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRightSemigroupCongruence)"]]},{"rank" : 22,"comment" : "IsRightSemigroupCongruence: test whether a right magma congruence is a semigroup a congruence","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsRightMagmaCongruence"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRightSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"],["IsBool"]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRightSemigroupCongruence): system setter","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRightSemigroupCongruence): default method, does nothing","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRightSemigroupCongruence"]},{"name" : "Tester(IsRightSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemigroupCongruence","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsSemigroupCongruence: system getter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemigroupCongruence)"]]},{"rank" : 26,"comment" : "IsSemigroupCongruence: test whether a magma congruence is a semigroup a congruence","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsMagmaCongruence"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"],["IsBool"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemigroupCongruence): system setter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemigroupCongruence): default method, does nothing","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemigroupCongruence"]},{"name" : "Tester(IsSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsMagmaCongruence"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsReesCongruence","type" : "GAP_Operation","filters" : [[["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20035,"comment" : "IsReesCongruence: system getter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReesCongruence)"]]},{"rank" : 32,"comment" : "IsReesCongruence: for a semigroup congruence","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gi"},"filters" : [["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 0,"comment" : "IsReesCongruence: default method requiring categories and checking properties","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReesCongruence)","type" : "GAP_Operation","filters" : [[["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"],["IsBool"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReesCongruence): system setter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReesCongruence): default method, does nothing","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReesCongruence"]},{"name" : "Tester(IsReesCongruence)","type" : "GAP_Operation","filters" : [[["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semicong.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InversesOfSemigroupElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 18,"comment" : "InversesOfSemigroupElement: for a semigroup and a multiplicative element","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InversesOfSemigroupElement"]},{"name" : "SemigroupByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "SemigroupByGenerators: for a collection","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemigroupByGenerators"]},{"name" : "AsSemigroup","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsSemigroup: system getter","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSemigroup)"]]},{"rank" : 115,"comment" : "AsSemigroup: for a semigroup","location" : {"line" : 519,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 2,"comment" : "AsSemigroup: generic method for collections","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSemigroup)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSemigroup): system setter","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSemigroup): default method, does nothing","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSemigroup"]},{"name" : "Tester(AsSemigroup)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSemigroup"]},{"name" : "AsSubsemigroup","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "AsSubsemigroup: generic method for a domain and a collection","location" : {"line" : 625,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubsemigroup"]},{"name" : "IsGeneratorsOfSemigroup","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsGeneratorsOfSemigroup: system getter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGeneratorsOfSemigroup)"]]},{"rank" : 19,"comment" : "IsGeneratorsOfSemigroup: for an FFE coll coll coll","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 17,"comment" : "IsGeneratorsOfSemigroup: for an empty list","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "IsGeneratorsOfSemigroup: for a list","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGeneratorsOfSemigroup)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsBool"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGeneratorsOfSemigroup): system setter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGeneratorsOfSemigroup): default method, does nothing","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGeneratorsOfSemigroup"]},{"name" : "Tester(IsGeneratorsOfSemigroup)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CayleyGraphSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "CayleyGraphSemigroup: system getter","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CayleyGraphSemigroup)"]]},{"rank" : 17,"comment" : "CayleyGraphSemigroup: for generic finite semigroups","location" : {"line" : 359,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CayleyGraphSemigroup: default method requiring categories and checking properties","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CayleyGraphSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CayleyGraphSemigroup): system setter","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CayleyGraphSemigroup): default method, does nothing","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCayleyGraphSemigroup","SetRightCayleyGraphSemigroup"]},{"name" : "Tester(CayleyGraphSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCayleyGraphSemigroup","HasRightCayleyGraphSemigroup"]},{"name" : "CayleyGraphDualSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "CayleyGraphDualSemigroup: system getter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CayleyGraphDualSemigroup)"]]},{"rank" : 17,"comment" : "CayleyGraphDualSemigroup: for generic finite semigroups","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CayleyGraphDualSemigroup: default method requiring categories and checking properties","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CayleyGraphDualSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CayleyGraphDualSemigroup): system setter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CayleyGraphDualSemigroup): default method, does nothing","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCayleyGraphDualSemigroup","SetLeftCayleyGraphSemigroup"]},{"name" : "Tester(CayleyGraphDualSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCayleyGraphDualSemigroup","HasLeftCayleyGraphSemigroup"]},{"name" : "IsZeroGroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsZeroGroup: system getter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZeroGroup)"]]},{"rank" : 0,"comment" : "IsZeroGroup: default method requiring categories and checking properties","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZeroGroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZeroGroup): system setter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZeroGroup): default method, does nothing","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZeroGroup"]},{"name" : "Tester(IsZeroGroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSimpleSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsSimpleSemigroup: system getter","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSimpleSemigroup)"]]},{"rank" : 18,"comment" : "IsSimpleSemigroup: for a subsemigroup of a Rees matrix semigroup with an underlying semigroup","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)","Tester(UnderlyingSemigroup)"]]},{"rank" : 16,"comment" : "IsSimpleSemigroup: for a semigroup with a MultiplicativeNeutralElement","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 16,"comment" : "IsSimpleSemigroup: for semigroup with generators","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "IsSimpleSemigroup: for a semigroup","location" : {"line" : 863,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSimpleSemigroup: default method requiring categories and checking properties","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSimpleSemigroup): system setter","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSimpleSemigroup): default method, does nothing","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSimpleSemigroup"]},{"name" : "Tester(IsSimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsZeroSimpleSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsZeroSimpleSemigroup: system getter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZeroSimpleSemigroup)"]]},{"rank" : 35,"comment" : "IsZeroSimpleSemigroup: for a ZeroGroup","location" : {"line" : 883,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "IsZeroSimpleSemigroup: for a trivial semigroup","location" : {"line" : 883,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "IsZeroSimpleSemigroup: for a Rees 0-matrix semigroup","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 16,"comment" : "IsZeroSimpleSemigroup: for a semigroup with a MultiplicativeNeutralElement","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 16,"comment" : "IsZeroSimpleSemigroup: for a semigroup with generators","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "IsZeroSimpleSemigroup: for a semigroup","location" : {"line" : 1079,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsZeroSimpleSemigroup: default method requiring categories and checking properties","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZeroSimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZeroSimpleSemigroup): system setter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZeroSimpleSemigroup): default method, does nothing","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZeroSimpleSemigroup"]},{"name" : "Tester(IsZeroSimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ANonReesCongruenceOfSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "ANonReesCongruenceOfSemigroup: system getter","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ANonReesCongruenceOfSemigroup)"]]},{"rank" : 17,"comment" : "ANonReesCongruenceOfSemigroup: for a semigroup","location" : {"line" : 1128,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ANonReesCongruenceOfSemigroup:  fallback method to test conditions","location" : {"line" : 1131,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ANonReesCongruenceOfSemigroup: default method requiring categories and checking properties","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ANonReesCongruenceOfSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ANonReesCongruenceOfSemigroup): system setter","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ANonReesCongruenceOfSemigroup): default method, does nothing","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetANonReesCongruenceOfSemigroup"]},{"name" : "Tester(ANonReesCongruenceOfSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasANonReesCongruenceOfSemigroup"]},{"name" : "IsReesCongruenceSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsReesCongruenceSemigroup: system getter","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReesCongruenceSemigroup)"]]},{"rank" : 15,"comment" : "IsReesCongruenceSemigroup: for a (possibly infinite) semigroup","location" : {"line" : 1140,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsReesCongruenceSemigroup: default method requiring categories and checking properties","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReesCongruenceSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReesCongruenceSemigroup): system setter","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReesCongruenceSemigroup): default method, does nothing","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReesCongruenceSemigroup"]},{"name" : "Tester(IsReesCongruenceSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "HomomorphismFactorSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]],"locations" : [{"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "HomomorphismFactorSemigroup: for an fp monoid and a congruence","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 52,"comment" : "HomomorphismFactorSemigroup: for a free monoid and a congruence","location" : {"line" : 293,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsMagmaCongruence"]]},{"rank" : 52,"comment" : "HomomorphismFactorSemigroup: for a free semigroup and a congruence","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 51,"comment" : "HomomorphismFactorSemigroup: for an fp semigroup and a congruence","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]},{"rank" : 47,"comment" : "HomomorphismFactorSemigroup: for a semigroup and a congruence","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HomomorphismFactorSemigroup"]},{"name" : "HomomorphismFactorSemigroupByClosure","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "HomomorphismFactorSemigroupByClosure: for a semigroup and empty list","location" : {"line" : 1174,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "HomomorphismFactorSemigroupByClosure: for a semigroup and generating pairs of a congruence","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HomomorphismFactorSemigroupByClosure"]},{"name" : "FactorSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 47,"comment" : "FactorSemigroup: for a semigroup and a congruence","location" : {"line" : 1185,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsSemigroupCongruence","Tester(IsSemigroupCongruence)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "FactorSemigroupByClosure","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "FactorSemigroupByClosure: for a semigroup and empty list","location" : {"line" : 1203,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 17,"comment" : "FactorSemigroupByClosure: for a semigroup and generating pairs of a congruence","location" : {"line" : 1194,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRegularSemigroupElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 25,"comment" : "IsRegularSemigroupElement: for an inverse semigroup","location" : {"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsAssociativeElement"]]},{"rank" : 19,"comment" : "IsRegularSemigroupElement: for generic semigroup","location" : {"line" : 1261,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsAssociativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsRegularSemigroupElement"]},{"name" : "IsRegularSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsRegularSemigroup: system getter","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRegularSemigroup)"]]},{"rank" : 17,"comment" : "IsRegularSemigroup: for a Rees 0-matrix semigroup","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 15,"comment" : "IsRegularSemigroup: for generic semigroup","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsRegularSemigroup: default method requiring categories and checking properties","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRegularSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRegularSemigroup): system setter","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRegularSemigroup): default method, does nothing","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRegularSemigroup"]},{"name" : "Tester(IsRegularSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsInverseSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsInverseSemigroup: system getter","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInverseSemigroup)"]]},{"rank" : 15,"comment" : "IsInverseSemigroup: for a semigroup","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsInverseSemigroup: for an object","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [[]]},{"rank" : 0,"comment" : "IsInverseSemigroup: default method requiring categories and checking properties","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInverseSemigroup): system setter","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInverseSemigroup): default method, does nothing","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInverseSemigroup"]},{"name" : "Tester(IsInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DisplaySemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "DisplaySemigroup: for finite semigroups","location" : {"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DisplaySemigroup"]},{"name" : "NilpotencyDegree","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "NilpotencyDegree: system getter","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NilpotencyDegree)"]]},{"rank" : 0,"comment" : "NilpotencyDegree: default method requiring categories and checking properties","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NilpotencyDegree)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NilpotencyDegree): system setter","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NilpotencyDegree): default method, does nothing","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNilpotencyDegree"]},{"name" : "Tester(NilpotencyDegree)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNilpotencyDegree"]},{"name" : "IsSubsemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 563,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 43,"comment" : "IsSubsemigroup: for an inverse semigroup and inverse semigroup with generators","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 31,"comment" : "IsSubsemigroup: for semigroup and semigroup with generators","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "IsSubsemigroup: for a semigroup and semigroup","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSubsemigroup"]},{"name" : "IsBand","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsBand: system getter","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBand)"]]},{"rank" : 0,"comment" : "IsBand: default method requiring categories and checking properties","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBand)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBand): system setter","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBand): default method, does nothing","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBand"]},{"name" : "Tester(IsBand)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBrandtSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsBrandtSemigroup: system getter","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBrandtSemigroup)"]]},{"rank" : 0,"comment" : "IsBrandtSemigroup: default method requiring categories and checking properties","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBrandtSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBrandtSemigroup): system setter","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBrandtSemigroup): default method, does nothing","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBrandtSemigroup"]},{"name" : "Tester(IsBrandtSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCliffordSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsCliffordSemigroup: system getter","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCliffordSemigroup)"]]},{"rank" : 0,"comment" : "IsCliffordSemigroup: default method requiring categories and checking properties","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCliffordSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCliffordSemigroup): system setter","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCliffordSemigroup): default method, does nothing","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCliffordSemigroup"]},{"name" : "Tester(IsCliffordSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCommutativeSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsCommutativeSemigroup: system getter","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCommutativeSemigroup)"]]},{"rank" : 0,"comment" : "IsCommutativeSemigroup: default method requiring categories and checking properties","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCommutativeSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCommutativeSemigroup): system setter","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCommutativeSemigroup): default method, does nothing","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCommutativeSemigroup"]},{"name" : "Tester(IsCommutativeSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCompletelyRegularSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsCompletelyRegularSemigroup: system getter","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCompletelyRegularSemigroup)"]]},{"rank" : 0,"comment" : "IsCompletelyRegularSemigroup: default method requiring categories and checking properties","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCompletelyRegularSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCompletelyRegularSemigroup): system setter","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCompletelyRegularSemigroup): default method, does nothing","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCompletelyRegularSemigroup"]},{"name" : "Tester(IsCompletelyRegularSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCompletelySimpleSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsCompletelySimpleSemigroup: system getter","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCompletelySimpleSemigroup)"]]},{"rank" : 0,"comment" : "IsCompletelySimpleSemigroup: default method requiring categories and checking properties","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCompletelySimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCompletelySimpleSemigroup): system setter","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCompletelySimpleSemigroup): default method, does nothing","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCompletelySimpleSemigroup"]},{"name" : "Tester(IsCompletelySimpleSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsGroupAsSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsGroupAsSemigroup: system getter","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGroupAsSemigroup)"]]},{"rank" : 0,"comment" : "IsGroupAsSemigroup: default method requiring categories and checking properties","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGroupAsSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGroupAsSemigroup): system setter","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGroupAsSemigroup): default method, does nothing","location" : {"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGroupAsSemigroup"]},{"name" : "Tester(IsGroupAsSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsIdempotentGenerated","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsIdempotentGenerated: system getter","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIdempotentGenerated)"]]},{"rank" : 0,"comment" : "IsIdempotentGenerated: default method requiring categories and checking properties","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIdempotentGenerated)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIdempotentGenerated): system setter","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIdempotentGenerated): default method, does nothing","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIdempotentGenerated"]},{"name" : "Tester(IsIdempotentGenerated)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLeftZeroSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsLeftZeroSemigroup: system getter","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftZeroSemigroup)"]]},{"rank" : 0,"comment" : "IsLeftZeroSemigroup: default method requiring categories and checking properties","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftZeroSemigroup): system setter","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftZeroSemigroup): default method, does nothing","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftZeroSemigroup"]},{"name" : "Tester(IsLeftZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonogenicSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsMonogenicSemigroup: system getter","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonogenicSemigroup)"]]},{"rank" : 0,"comment" : "IsMonogenicSemigroup: default method requiring categories and checking properties","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonogenicSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonogenicSemigroup): system setter","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonogenicSemigroup): default method, does nothing","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonogenicSemigroup"]},{"name" : "Tester(IsMonogenicSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonoidAsSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsMonoidAsSemigroup: system getter","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonoidAsSemigroup)"]]},{"rank" : 0,"comment" : "IsMonoidAsSemigroup: default method requiring categories and checking properties","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonoidAsSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonoidAsSemigroup): system setter","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonoidAsSemigroup): default method, does nothing","location" : {"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonoidAsSemigroup"]},{"name" : "Tester(IsMonoidAsSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 575,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNilpotentSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsNilpotentSemigroup: system getter","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNilpotentSemigroup)"]]},{"rank" : 0,"comment" : "IsNilpotentSemigroup: default method requiring categories and checking properties","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNilpotentSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNilpotentSemigroup): system setter","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNilpotentSemigroup): default method, does nothing","location" : {"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNilpotentSemigroup"]},{"name" : "Tester(IsNilpotentSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 576,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsOrthodoxSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsOrthodoxSemigroup: system getter","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsOrthodoxSemigroup)"]]},{"rank" : 0,"comment" : "IsOrthodoxSemigroup: default method requiring categories and checking properties","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsOrthodoxSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsOrthodoxSemigroup): system setter","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsOrthodoxSemigroup): default method, does nothing","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsOrthodoxSemigroup"]},{"name" : "Tester(IsOrthodoxSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRectangularBand","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsRectangularBand: system getter","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRectangularBand)"]]},{"rank" : 0,"comment" : "IsRectangularBand: default method requiring categories and checking properties","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRectangularBand)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRectangularBand): system setter","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRectangularBand): default method, does nothing","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRectangularBand"]},{"name" : "Tester(IsRectangularBand)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightZeroSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsRightZeroSemigroup: system getter","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRightZeroSemigroup)"]]},{"rank" : 0,"comment" : "IsRightZeroSemigroup: default method requiring categories and checking properties","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRightZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRightZeroSemigroup): system setter","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRightZeroSemigroup): default method, does nothing","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRightZeroSemigroup"]},{"name" : "Tester(IsRightZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemiband","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsSemiband: system getter","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemiband)"]]},{"rank" : 0,"comment" : "IsSemiband: default method requiring categories and checking properties","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSemiband)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemiband): system setter","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemiband): default method, does nothing","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemiband"]},{"name" : "Tester(IsSemiband)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemilattice","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsSemilattice: system getter","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemilattice)"]]},{"rank" : 0,"comment" : "IsSemilattice: default method requiring categories and checking properties","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSemilattice)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemilattice): system setter","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemilattice): default method, does nothing","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemilattice","SetIsSemilatticeAsSemigroup"]},{"name" : "Tester(IsSemilattice)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsZeroSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsZeroSemigroup: system getter","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZeroSemigroup)"]]},{"rank" : 0,"comment" : "IsZeroSemigroup: default method requiring categories and checking properties","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZeroSemigroup): system setter","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZeroSemigroup): default method, does nothing","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZeroSemigroup"]},{"name" : "Tester(IsZeroSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SemigroupViewStringPrefix","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "SemigroupViewStringPrefix: for a partial perm semigroup","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 19,"comment" : "SemigroupViewStringPrefix: for a transformation semigroup","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "SemigroupViewStringPrefix: for a semigroup","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemigroupViewStringPrefix"]},{"name" : "SemigroupViewStringSuffix","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "SemigroupViewStringSuffix: for a partial perm semigroup","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 19,"comment" : "SemigroupViewStringSuffix: for a transformation semigroup","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "SemigroupViewStringSuffix: for a semigroup","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/semigrp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemigroupViewStringSuffix"]},{"name" : "IsLeftSemigroupIdeal","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsLeftSemigroupIdeal: system getter","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftSemigroupIdeal)"]]},{"rank" : 16,"comment" : "IsLeftSemigroupIdeal","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsAttributeStoringRep","IsLeftActedOnBySuperset","Tester(LeftActingDomain)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsMagma"],["IsBool"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftSemigroupIdeal): system setter","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftSemigroupIdeal): default method, does nothing","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftSemigroupIdeal"]},{"name" : "Tester(IsLeftSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightSemigroupIdeal","type" : "GAP_Operation","filters" : [[["IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsRightSemigroupIdeal: system getter","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRightSemigroupIdeal)"]]},{"rank" : 16,"comment" : "IsRightSemigroupIdeal","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsAttributeStoringRep","IsRightActedOnBySuperset","Tester(RightActingDomain)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRightSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsRightActedOnBySuperset","IsMagma"],["IsBool"]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRightSemigroupIdeal): system setter","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRightSemigroupIdeal): default method, does nothing","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRightSemigroupIdeal"]},{"name" : "Tester(IsRightSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemigroupIdeal","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsSemigroupIdeal: system getter","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemigroupIdeal)"]]},{"rank" : 19,"comment" : "IsSemigroupIdeal","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsAttributeStoringRep","IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","Tester(ActingDomain)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"],["IsBool"]]],"locations" : [{"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemigroupIdeal): system setter","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemigroupIdeal): default method, does nothing","location" : {"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemigroupIdeal"]},{"name" : "Tester(IsSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ReesCongruenceOfSemigroupIdeal","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "ReesCongruenceOfSemigroupIdeal: system getter","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(ReesCongruenceOfSemigroupIdeal)"]]},{"rank" : 17,"comment" : "ReesCongruenceOfSemigroupIdeal: for a two sided semigroup congruence","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gi"},"filters" : [["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma","IsSemigroupIdeal","Tester(IsSemigroupIdeal)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ReesCongruenceOfSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"],[]]],"locations" : [{"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ReesCongruenceOfSemigroupIdeal): system setter","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ReesCongruenceOfSemigroupIdeal): default method, does nothing","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetReesCongruenceOfSemigroupIdeal"]},{"name" : "Tester(ReesCongruenceOfSemigroupIdeal)","type" : "GAP_Operation","filters" : [[["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]]],"locations" : [{"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/smgideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasReesCongruenceOfSemigroupIdeal"]},{"name" : "MonoidByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "MonoidByGenerators: for a collection","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 7,"comment" : "MonoidByGenerators: for empty collection and identity","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsMultiplicativeElementWithOne"]]},{"rank" : 6,"comment" : "MonoidByGenerators: for collection and identity","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsCollection"],["IsMultiplicativeElementWithOne"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MonoidByGenerators"]},{"name" : "AsMonoid","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsMonoid: system getter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsMonoid)"]]},{"rank" : 120,"comment" : "AsMonoid: for a monoid","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "AsMonoid: for transformation semigroup with generators","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 16,"comment" : "AsMonoid: for a semigroup with known generators","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 2,"comment" : "AsMonoid: generic method for a collection","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsMonoid)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsMonoid): system setter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsMonoid): default method, does nothing","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsMonoid"]},{"name" : "Tester(AsMonoid)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsMonoid"]},{"name" : "AsSubmonoid","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "AsSubmonoid: generic method for a domain and a collection","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/monoid.gi"},"filters" : [["IsCollection","IsGeneralizedDomain"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubmonoid"]},{"name" : "GroupString","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "GroupString: for a group","location" : {"line" : 4041,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupString"]},{"name" : "IsCyclic","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsCyclic: system getter","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCyclic)"]]},{"rank" : 370,"comment" : "IsCyclic: handled by nice monomorphism: Attribute","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 36,"comment" : "IsCyclic","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "IsCyclic: generic method for groups","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsCyclic: for an ordinary character table","location" : {"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 0,"comment" : "IsCyclic: default method requiring categories and checking properties","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCyclic)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCyclic): system setter","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCyclic): default method, does nothing","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCyclic"]},{"name" : "Tester(IsCyclic)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsElementaryAbelian","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsElementaryAbelian: system getter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsElementaryAbelian)"]]},{"rank" : 35,"comment" : "IsElementaryAbelian: generic method for groups","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsElementaryAbelian: for an ordinary character table","location" : {"line" : 1202,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 0,"comment" : "IsElementaryAbelian: default method requiring categories and checking properties","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsElementaryAbelian)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsElementaryAbelian): system setter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsElementaryAbelian): default method, does nothing","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsElementaryAbelian"]},{"name" : "Tester(IsElementaryAbelian)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFinitelyGeneratedGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsFinitelyGeneratedGroup: system getter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFinitelyGeneratedGroup)"]]},{"rank" : 37,"comment" : "IsFinitelyGeneratedGroup: subgroups of fp group","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 36,"comment" : "IsFinitelyGeneratedGroup","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsFinitelyGeneratedGroup: default method requiring categories and checking properties","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFinitelyGeneratedGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFinitelyGeneratedGroup): system setter","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFinitelyGeneratedGroup): default method, does nothing","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFinitelyGeneratedGroup"]},{"name" : "Tester(IsFinitelyGeneratedGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSubsetLocallyFiniteGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSubsetLocallyFiniteGroup: system getter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSubsetLocallyFiniteGroup)"]]},{"rank" : 0,"comment" : "IsSubsetLocallyFiniteGroup: default method requiring categories and checking properties","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSubsetLocallyFiniteGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSubsetLocallyFiniteGroup): system setter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSubsetLocallyFiniteGroup): default method, does nothing","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSubsetLocallyFiniteGroup"]},{"name" : "Tester(IsSubsetLocallyFiniteGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CanComputeIndex","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 73,"comment" : "CanComputeIndex: subgroup of full fp groups","location" : {"line" : 1659,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CosetTableInWholeGroup)"]]},{"rank" : 73,"comment" : "CanComputeIndex: subgroup of full fp groups","location" : {"line" : 1659,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(IndexInWholeGroup)"]]},{"rank" : 72,"comment" : "CanComputeIndex: subgroups fp groups","location" : {"line" : 1659,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(IndexInWholeGroup)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(IndexInWholeGroup)"]]},{"rank" : 72,"comment" : "CanComputeIndex: if sizes can be computed","location" : {"line" : 4990,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["CanComputeSize","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CanComputeSize","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "CanComputeIndex: by default impossible unless identical","location" : {"line" : 4978,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CanComputeIndex"]},{"name" : "KnowsHowToDecompose","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "KnowsHowToDecompose: system getter","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(KnowsHowToDecompose)"]]},{"rank" : 35,"comment" : "KnowsHowToDecompose: group: use GeneratorsOfGroup","location" : {"line" : 4848,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "KnowsHowToDecompose: default method requiring categories and checking properties","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 60,"comment" : "KnowsHowToDecompose: perm group and generators: always true","location" : {"line" : 1888,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 47,"comment" : "KnowsHowToDecompose: matrix groups","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 45,"comment" : "KnowsHowToDecompose: pc group and generators: always true","location" : {"line" : 1888,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsList"]]},{"rank" : 39,"comment" : "KnowsHowToDecompose: fp groups: Say yes if finite index","location" : {"line" : 2071,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsList"]]},{"rank" : 38,"comment" : "KnowsHowToDecompose: trivial group","location" : {"line" : 4843,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 37,"comment" : "KnowsHowToDecompose: generic: just groups of order < 1000","location" : {"line" : 4837,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KnowsHowToDecompose)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KnowsHowToDecompose): system setter","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KnowsHowToDecompose): default method, does nothing","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKnowsHowToDecompose"]},{"name" : "Tester(KnowsHowToDecompose)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsPGroup: system getter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPGroup)"]]},{"rank" : 41,"comment" : "IsPGroup: for nilpotent groups","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 36,"comment" : "IsPGroup: for direct products","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 35,"comment" : "IsPGroup: generic method (check order of the group or of generators if nilpotent)","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsPGroup: default method requiring categories and checking properties","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPGroup): system setter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPGroup): default method, does nothing","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPGroup"]},{"name" : "Tester(IsPGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PrimePGroup","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "PrimePGroup: system getter","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimePGroup)"]]},{"rank" : 44,"comment" : "PrimePGroup: for direct products","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)","Tester(DirectProductInfo)"]]},{"rank" : 44,"comment" : "PrimePGroup: generic method, check the order of a nontrivial generator","location" : {"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(GeneratorsOfMagmaWithInverses)","IsPGroup","Tester(IsPGroup)"]]},{"rank" : 43,"comment" : "PrimePGroup: generic method, check the group order","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)"]]},{"rank" : 0,"comment" : "PrimePGroup:  fallback method to test conditions","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PrimePGroup: default method requiring categories and checking properties","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimePGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"],[]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimePGroup): system setter","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimePGroup): default method, does nothing","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimePGroup"]},{"name" : "Tester(PrimePGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimePGroup"]},{"name" : "PClassPGroup","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "PClassPGroup: system getter","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(PClassPGroup)"]]},{"rank" : 66,"comment" : "PClassPGroup: for groups with special pcgs","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)","Tester(SpecialPcgs)"]]},{"rank" : 43,"comment" : "PClassPGroup: generic method for group","location" : {"line" : 2707,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)"]]},{"rank" : 0,"comment" : "PClassPGroup: default method requiring categories and checking properties","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PClassPGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"],[]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PClassPGroup): system setter","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PClassPGroup): default method, does nothing","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPClassPGroup"]},{"name" : "Tester(PClassPGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPClassPGroup"]},{"name" : "RankPGroup","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "RankPGroup: system getter","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankPGroup)"]]},{"rank" : 66,"comment" : "RankPGroup: for groups with special pcgs","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)","Tester(SpecialPcgs)"]]},{"rank" : 43,"comment" : "RankPGroup: generic method for group","location" : {"line" : 2717,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)"]]},{"rank" : 0,"comment" : "RankPGroup: default method requiring categories and checking properties","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RankPGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"],[]]],"locations" : [{"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankPGroup): system setter","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankPGroup): default method, does nothing","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankPGroup"]},{"name" : "Tester(RankPGroup)","type" : "GAP_Operation","filters" : [[["IsPGroup","Tester(IsPGroup)"]]],"locations" : [{"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankPGroup"]},{"name" : "IsNilpotentGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsNilpotentGroup: system getter","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNilpotentGroup)"]]},{"rank" : 370,"comment" : "IsNilpotentGroup: handled by nice monomorphism: Attribute","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 66,"comment" : "IsNilpotentGroup: for direct products","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 61,"comment" : "IsNilpotentGroup: if group size can be computed and is a prime power","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["CanComputeSize","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "IsNilpotentGroup: for permgrp","location" : {"line" : 1261,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "IsNilpotentGroup: method for pc groups","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcprp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 35,"comment" : "IsNilpotentGroup: generic method for groups","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsNilpotentGroup: default method requiring categories and checking properties","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNilpotentGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNilpotentGroup): system setter","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNilpotentGroup): default method, does nothing","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNilpotentGroup"]},{"name" : "Tester(IsNilpotentGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPerfectGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsPerfectGroup: system getter","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPerfectGroup)"]]},{"rank" : 370,"comment" : "IsPerfectGroup: handled by nice monomorphism: Attribute","location" : {"line" : 523,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 44,"comment" : "IsPerfectGroup: method for finite groups","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 39,"comment" : "IsPerfectGroup","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 37,"comment" : "IsPerfectGroup: for a (subgroup of a) finitely presented group","location" : {"line" : 914,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 35,"comment" : "IsPerfectGroup: generic method for groups","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsPerfectGroup: default method requiring categories and checking properties","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPerfectGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPerfectGroup): system setter","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPerfectGroup): default method, does nothing","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPerfectGroup"]},{"name" : "Tester(IsPerfectGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSporadicSimpleGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSporadicSimpleGroup: system getter","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSporadicSimpleGroup)"]]},{"rank" : 35,"comment" : "IsSporadicSimpleGroup: for a group","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSporadicSimpleGroup: default method requiring categories and checking properties","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSporadicSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSporadicSimpleGroup): system setter","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSporadicSimpleGroup): default method, does nothing","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSporadicSimpleGroup"]},{"name" : "Tester(IsSporadicSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSimpleGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSimpleGroup: system getter","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSimpleGroup)"]]},{"rank" : 370,"comment" : "IsSimpleGroup: handled by nice monomorphism: Attribute","location" : {"line" : 531,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 58,"comment" : "IsSimpleGroup: for permgrp","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 56,"comment" : "IsSimpleGroup: for solvable groups","location" : {"line" : 2243,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "IsSimpleGroup: generic method for groups","location" : {"line" : 397,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSimpleGroup: default method requiring categories and checking properties","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSimpleGroup): system setter","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSimpleGroup): default method, does nothing","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSimpleGroup"]},{"name" : "Tester(IsSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsAlmostSimpleGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsAlmostSimpleGroup: system getter","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAlmostSimpleGroup)"]]},{"rank" : 35,"comment" : "IsAlmostSimpleGroup: for a group","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsAlmostSimpleGroup: default method requiring categories and checking properties","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAlmostSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAlmostSimpleGroup): system setter","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAlmostSimpleGroup): default method, does nothing","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAlmostSimpleGroup"]},{"name" : "Tester(IsAlmostSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSupersolvableGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSupersolvableGroup: system getter","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSupersolvableGroup)"]]},{"rank" : 370,"comment" : "IsSupersolvableGroup: handled by nice monomorphism: Attribute","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 40,"comment" : "IsSupersolvableGroup: method for pc groups","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcprp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 35,"comment" : "IsSupersolvableGroup: generic method for groups","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSupersolvableGroup: default method requiring categories and checking properties","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSupersolvableGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSupersolvableGroup): system setter","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSupersolvableGroup): default method, does nothing","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSupersolvableGroup"]},{"name" : "Tester(IsSupersolvableGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonomialGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsMonomialGroup: system getter","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonomialGroup)"]]},{"rank" : 370,"comment" : "IsMonomialGroup: handled by nice monomorphism: Attribute","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "IsMonomialGroup: for a group","location" : {"line" : 1603,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsMonomialGroup: default method requiring categories and checking properties","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonomialGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonomialGroup): system setter","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonomialGroup): default method, does nothing","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonomialGroup"]},{"name" : "Tester(IsMonomialGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSolvableGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSolvableGroup: system getter","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSolvableGroup)"]]},{"rank" : 370,"comment" : "IsSolvableGroup: handled by nice monomorphism: Attribute","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 58,"comment" : "IsSolvableGroup: for permgrp","location" : {"line" : 1254,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 54,"comment" : "IsSolvableGroup: for a free group","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 37,"comment" : "IsSolvableGroup","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "IsSolvableGroup: for direct products","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 35,"comment" : "IsSolvableGroup: generic method for groups","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSolvableGroup: default method requiring categories and checking properties","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSolvableGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSolvableGroup): system setter","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSolvableGroup): default method, does nothing","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSolvableGroup"]},{"name" : "Tester(IsSolvableGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPolycyclicGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsPolycyclicGroup: system getter","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPolycyclicGroup)"]]},{"rank" : 35,"comment" : "IsPolycyclicGroup: generic method for groups","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsPolycyclicGroup: default method requiring categories and checking properties","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPolycyclicGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPolycyclicGroup): system setter","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPolycyclicGroup): default method, does nothing","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPolycyclicGroup"]},{"name" : "Tester(IsPolycyclicGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AbelianInvariants","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AbelianInvariants: system getter","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AbelianInvariants)"]]},{"rank" : 395,"comment" : "AbelianInvariants: for groups of FFE","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["CategoryCollections(IsFFE)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 370,"comment" : "AbelianInvariants: handled by nice monomorphism: Attribute","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 38,"comment" : "AbelianInvariants: for a finitely presented group","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "AbelianInvariants: for a subgroup of a finitely presented group","location" : {"line" : 744,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 36,"comment" : "AbelianInvariants: for direct products","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 35,"comment" : "AbelianInvariants: generic method for groups","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "AbelianInvariants: for an ordinary character table","location" : {"line" : 1161,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 0,"comment" : "AbelianInvariants: default method requiring categories and checking properties","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AbelianInvariants)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AbelianInvariants): system setter","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AbelianInvariants): default method, does nothing","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAbelianInvariants"]},{"name" : "Tester(AbelianInvariants)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAbelianInvariants"]},{"name" : "IsInfiniteAbelianizationGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsInfiniteAbelianizationGroup: system getter","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInfiniteAbelianizationGroup)"]]},{"rank" : 38,"comment" : "IsInfiniteAbelianizationGroup: for a finitely presented group","location" : {"line" : 870,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "IsInfiniteAbelianizationGroup: for a subgroup of a finitely presented group","location" : {"line" : 904,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 35,"comment" : "IsInfiniteAbelianizationGroup: generic method for groups","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsInfiniteAbelianizationGroup: default method requiring categories and checking properties","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInfiniteAbelianizationGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInfiniteAbelianizationGroup): system setter","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInfiniteAbelianizationGroup): default method, does nothing","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInfiniteAbelianizationGroup"]},{"name" : "Tester(IsInfiniteAbelianizationGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsInfiniteAbelianizationGroup"]},{"name" : "AsGroup","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsGroup: system getter","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsGroup)"]]},{"rank" : 135,"comment" : "AsGroup","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 2,"comment" : "AsGroup: generic method for collections","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsGroup)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsGroup): system setter","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsGroup): default method, does nothing","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsGroup"]},{"name" : "Tester(AsGroup)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsGroup"]},{"name" : "ChiefSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ChiefSeries: system getter","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ChiefSeries)"]]},{"rank" : 370,"comment" : "ChiefSeries: handled by nice monomorphism: GroupSeries","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "ChiefSeries: generic method for a group","location" : {"line" : 2836,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["ChiefSeriesOfGroup"]},{"rank" : 35,"comment" : "ChiefSeries: method for a group (delegate to `ChiefSeriesUnderAction')","location" : {"line" : 642,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ChiefSeries: default method requiring categories and checking properties","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ChiefSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ChiefSeries): system setter","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ChiefSeries): default method, does nothing","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetChiefSeries"]},{"name" : "Tester(ChiefSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasChiefSeries"]},{"name" : "ChiefSeriesUnderAction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 901,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 71,"comment" : "ChiefSeriesUnderAction: method for a pcgs computable group","location" : {"line" : 2232,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 70,"comment" : "ChiefSeriesUnderAction: generic method for two groups","location" : {"line" : 2847,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ChiefSeriesUnderAction"]},{"name" : "ChiefSeriesThrough","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 922,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "ChiefSeriesThrough: generic method for a group and a list","location" : {"line" : 2859,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [{"rank" : 72,"comment" : "ChiefSeriesThrough: generic method for two groups and a list","location" : {"line" : 2859,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ChiefSeriesThrough"]},{"name" : "CommutatorFactorGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CommutatorFactorGroup: system getter","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CommutatorFactorGroup)"]]},{"rank" : 370,"comment" : "CommutatorFactorGroup: handled by nice monomorphism: Attribute","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "CommutatorFactorGroup: generic method for groups","location" : {"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CommutatorFactorGroup: default method requiring categories and checking properties","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CommutatorFactorGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CommutatorFactorGroup): system setter","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CommutatorFactorGroup): default method, does nothing","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCommutatorFactorGroup"]},{"name" : "Tester(CommutatorFactorGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCommutatorFactorGroup"]},{"name" : "CompositionSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CompositionSeries: system getter","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CompositionSeries)"]]},{"rank" : 370,"comment" : "CompositionSeries: handled by nice monomorphism: GroupSeries","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 137,"comment" : "CompositionSeries: for simple group","location" : {"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)"]]},{"rank" : 58,"comment" : "CompositionSeries: for a permutation group","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "CompositionSeries: pcgs computable groups","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 44,"comment" : "CompositionSeries: using DerivedSubgroup","location" : {"line" : 724,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CompositionSeries:  fallback method to test conditions","location" : {"line" : 5033,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "CompositionSeries:  fallback method to test conditions","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CompositionSeries: default method requiring categories and checking properties","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CompositionSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CompositionSeries): system setter","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CompositionSeries): default method, does nothing","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCompositionSeries"]},{"name" : "Tester(CompositionSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCompositionSeries"]},{"name" : "ConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsOrdinaryTable"]]],"locations" : [{"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ConjugacyClasses: system getter","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConjugacyClasses)"]]},{"rank" : 20034,"comment" : "ConjugacyClasses: test options","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 446,"comment" : "ConjugacyClasses: perm group","location" : {"line" : 2952,"file" : "\/home\/makx\/ac\/gap\/lib\/clashom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 433,"comment" : "ConjugacyClasses: TF Method","location" : {"line" : 2963,"file" : "\/home\/makx\/ac\/gap\/lib\/clashom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"]]},{"rank" : 399,"comment" : "ConjugacyClasses: for natural sl","location" : {"line" : 450,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalSL","Tester(IsNaturalSL)"]]},{"rank" : 397,"comment" : "ConjugacyClasses: for natural gl","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"]]},{"rank" : 393,"comment" : "ConjugacyClasses: matrix groups: test naturality","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 370,"comment" : "ConjugacyClasses: via niceomorphism","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 62,"comment" : "ConjugacyClasses: symmetric","location" : {"line" : 1656,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 62,"comment" : "ConjugacyClasses: alternating","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 44,"comment" : "ConjugacyClasses: try solvable method","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "ConjugacyClasses: for groups: try random search","location" : {"line" : 433,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ConjugacyClasses:  fallback method to test conditions","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ConjugacyClasses: default method requiring categories and checking properties","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConjugacyClasses): system setter","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConjugacyClasses): default method, does nothing","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugacyClasses"]},{"name" : "Tester(ConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugacyClasses"]},{"name" : "ConjugacyClassesMaximalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ConjugacyClassesMaximalSubgroups: system getter","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConjugacyClassesMaximalSubgroups)"]]},{"rank" : 35,"comment" : "ConjugacyClassesMaximalSubgroups: use MaximalSubgroupClassReps","location" : {"line" : 1770,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ConjugacyClassesMaximalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConjugacyClassesMaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConjugacyClassesMaximalSubgroups): system setter","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConjugacyClassesMaximalSubgroups): default method, does nothing","location" : {"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugacyClassesMaximalSubgroups"]},{"name" : "Tester(ConjugacyClassesMaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1092,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugacyClassesMaximalSubgroups"]},{"name" : "MaximalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MaximalSubgroups: system getter","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalSubgroups)"]]},{"rank" : 53,"comment" : "MaximalSubgroups: pcgs computable groups using special pcgs","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)"]]},{"rank" : 35,"comment" : "MaximalSubgroups: expand list","location" : {"line" : 1780,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MaximalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalSubgroups): system setter","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalSubgroups): default method, does nothing","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalSubgroups"]},{"name" : "Tester(MaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalSubgroups"]},{"name" : "MaximalSubgroupClassReps","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MaximalSubgroupClassReps: system getter","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalSubgroupClassReps)"]]},{"rank" : 433,"comment" : "MaximalSubgroupClassReps: TF method","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/maxsub.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"]],"aka" : ["DoMaxesTF"]},{"rank" : 370,"comment" : "MaximalSubgroupClassReps: handled by nice monomorphism: subgroups","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 62,"comment" : "MaximalSubgroupClassReps: alternating","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "MaximalSubgroupClassReps: symmetric","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 58,"comment" : "MaximalSubgroupClassReps: perm group","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/maxsub.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 56,"comment" : "MaximalSubgroupClassReps: solvable perm group","location" : {"line" : 1197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 52,"comment" : "MaximalSubgroupClassReps: pcgs computable groups using special pcgs","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]],"aka" : ["MAXSUBS_BY_PCGS"]},{"rank" : 48,"comment" : "MaximalSubgroupClassReps: pcgs computable groups using special pcgs","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "MaximalSubgroupClassReps: using lattice","location" : {"line" : 1760,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MaximalSubgroupClassReps: default method requiring categories and checking properties","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalSubgroupClassReps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalSubgroupClassReps): system setter","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalSubgroupClassReps): default method, does nothing","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalSubgroupClassReps"]},{"name" : "Tester(MaximalSubgroupClassReps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalSubgroupClassReps"]},{"name" : "PerfectResiduum","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PerfectResiduum: system getter","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(PerfectResiduum)"]]},{"rank" : 37,"comment" : "PerfectResiduum: for solvable groups","location" : {"line" : 1285,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 37,"comment" : "PerfectResiduum: for perfect groups","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsPerfectGroup","Tester(IsPerfectGroup)"]]},{"rank" : 35,"comment" : "PerfectResiduum: for groups","location" : {"line" : 1273,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PerfectResiduum: default method requiring categories and checking properties","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PerfectResiduum)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PerfectResiduum): system setter","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PerfectResiduum): default method, does nothing","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPerfectResiduum"]},{"name" : "Tester(PerfectResiduum)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPerfectResiduum"]},{"name" : "RepresentativesPerfectSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RepresentativesPerfectSubgroups: system getter","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RepresentativesPerfectSubgroups)"]]},{"rank" : 62,"comment" : "RepresentativesPerfectSubgroups: symmetric","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/trans\/trans.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 62,"comment" : "RepresentativesPerfectSubgroups: alternating","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/trans\/trans.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 37,"comment" : "RepresentativesPerfectSubgroups: solvable","location" : {"line" : 1295,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "RepresentativesPerfectSubgroups: using Holt\/Plesken library","location" : {"line" : 1456,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RepresentativesPerfectSubgroups: default method requiring categories and checking properties","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RepresentativesPerfectSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RepresentativesPerfectSubgroups): system setter","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RepresentativesPerfectSubgroups): default method, does nothing","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentativesPerfectSubgroups"]},{"name" : "Tester(RepresentativesPerfectSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentativesPerfectSubgroups"]},{"name" : "RepresentativesSimpleSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RepresentativesSimpleSubgroups: system getter","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RepresentativesSimpleSubgroups)"]]},{"rank" : 36,"comment" : "RepresentativesSimpleSubgroups: if perfect subs are known","location" : {"line" : 1463,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(RepresentativesPerfectSubgroups)"]]},{"rank" : 35,"comment" : "RepresentativesSimpleSubgroups: using Holt\/Plesken library","location" : {"line" : 1459,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RepresentativesSimpleSubgroups: default method requiring categories and checking properties","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RepresentativesSimpleSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RepresentativesSimpleSubgroups): system setter","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RepresentativesSimpleSubgroups): default method, does nothing","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentativesSimpleSubgroups"]},{"name" : "Tester(RepresentativesSimpleSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentativesSimpleSubgroups"]},{"name" : "ConjugacyClassesPerfectSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ConjugacyClassesPerfectSubgroups: system getter","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConjugacyClassesPerfectSubgroups)"]]},{"rank" : 35,"comment" : "ConjugacyClassesPerfectSubgroups: generic","location" : {"line" : 1260,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ConjugacyClassesPerfectSubgroups: default method requiring categories and checking properties","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConjugacyClassesPerfectSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConjugacyClassesPerfectSubgroups): system setter","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConjugacyClassesPerfectSubgroups): default method, does nothing","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugacyClassesPerfectSubgroups"]},{"name" : "Tester(ConjugacyClassesPerfectSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugacyClassesPerfectSubgroups"]},{"name" : "ConjugacyClassesSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ConjugacyClassesSubgroups: system getter","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConjugacyClassesSubgroups)"]]},{"rank" : 35,"comment" : "ConjugacyClassesSubgroups: group","location" : {"line" : 203,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 3,"comment" : "ConjugacyClassesSubgroups: lattice","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsLatticeSubgroupsRep"]]},{"rank" : 0,"comment" : "ConjugacyClassesSubgroups: default method requiring categories and checking properties","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConjugacyClassesSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConjugacyClassesSubgroups): system setter","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConjugacyClassesSubgroups): default method, does nothing","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugacyClassesSubgroups"]},{"name" : "Tester(ConjugacyClassesSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugacyClassesSubgroups"]},{"name" : "LatticeSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "LatticeSubgroups: system getter","location" : {"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(LatticeSubgroups)"]]},{"rank" : 46,"comment" : "LatticeSubgroups: for a group with table of marks","location" : {"line" : 980,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(TableOfMarks)"]],"aka" : ["LatticeSubgroupsByTom"]},{"rank" : 45,"comment" : "LatticeSubgroups: for a cyclic group","location" : {"line" : 980,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCyclic","Tester(IsCyclic)"]]},{"rank" : 36,"comment" : "LatticeSubgroups: elementary abelian extension","location" : {"line" : 1242,"file" : "\/home\/makx\/ac\/gap\/lib\/grppclat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "LatticeSubgroups: via radical","location" : {"line" : 1224,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["LatticeViaRadical"]},{"rank" : 0,"comment" : "LatticeSubgroups: default method requiring categories and checking properties","location" : {"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LatticeSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LatticeSubgroups): system setter","location" : {"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LatticeSubgroups): default method, does nothing","location" : {"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLatticeSubgroups"]},{"name" : "Tester(LatticeSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1313,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLatticeSubgroups"]},{"name" : "DerivedLength","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DerivedLength: system getter","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DerivedLength)"]]},{"rank" : 370,"comment" : "DerivedLength: handled by nice monomorphism: Attribute","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "DerivedLength: generic method for groups","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DerivedLength: default method requiring categories and checking properties","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DerivedLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DerivedLength): system setter","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DerivedLength): default method, does nothing","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivedLength"]},{"name" : "Tester(DerivedLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivedLength"]},{"name" : "HirschLength","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "HirschLength: system getter","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(HirschLength)"]]},{"rank" : 44,"comment" : "HirschLength: generic method for finite groups","location" : {"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "HirschLength: default method requiring categories and checking properties","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(HirschLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(HirschLength): system setter","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(HirschLength): default method, does nothing","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHirschLength"]},{"name" : "Tester(HirschLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasHirschLength"]},{"name" : "DerivedSeriesOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DerivedSeriesOfGroup: system getter","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DerivedSeriesOfGroup)"]]},{"rank" : 370,"comment" : "DerivedSeriesOfGroup: handled by nice monomorphism: GroupSeries","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "DerivedSeriesOfGroup: generic method for groups","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DerivedSeriesOfGroup: default method requiring categories and checking properties","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DerivedSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DerivedSeriesOfGroup): system setter","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DerivedSeriesOfGroup): default method, does nothing","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivedSeriesOfGroup"]},{"name" : "Tester(DerivedSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivedSeriesOfGroup"]},{"name" : "DerivedSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DerivedSubgroup: system getter","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DerivedSubgroup)"]]},{"rank" : 10043,"comment" : "DerivedSubgroup: for a group that knows it is abelian","location" : {"line" : 840,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 10037,"comment" : "DerivedSubgroup: for a group that knows it is perfect","location" : {"line" : 834,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsPerfectGroup","Tester(IsPerfectGroup)"]]},{"rank" : 370,"comment" : "DerivedSubgroup: handled by nice monomorphism: Subgroup","location" : {"line" : 401,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 62,"comment" : "DerivedSubgroup","location" : {"line" : 909,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 58,"comment" : "DerivedSubgroup: permgrps","location" : {"line" : 1085,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "DerivedSubgroup: pcgs computable groups","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 38,"comment" : "DerivedSubgroup: for a finitely presented group","location" : {"line" : 936,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "DerivedSubgroup: subgroup of a finitely presented group","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 35,"comment" : "DerivedSubgroup: generic method for groups","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DerivedSubgroup: default method requiring categories and checking properties","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DerivedSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DerivedSubgroup): system setter","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DerivedSubgroup): default method, does nothing","location" : {"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivedSubgroup"]},{"name" : "Tester(DerivedSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivedSubgroup"]},{"name" : "MaximalAbelianQuotient","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MaximalAbelianQuotient: system getter","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalAbelianQuotient)"]]},{"rank" : 40,"comment" : "MaximalAbelianQuotient: whole fp group","location" : {"line" : 1073,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "MaximalAbelianQuotient: for subgroups of finitely presented groups","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 35,"comment" : "MaximalAbelianQuotient: not fp group","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MaximalAbelianQuotient: default method requiring categories and checking properties","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalAbelianQuotient)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalAbelianQuotient): system setter","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalAbelianQuotient): default method, does nothing","location" : {"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalAbelianQuotient"]},{"name" : "Tester(MaximalAbelianQuotient)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1420,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalAbelianQuotient"]},{"name" : "CommutatorLength","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CommutatorLength: system getter","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CommutatorLength)"]]},{"rank" : 35,"comment" : "CommutatorLength: for a group","location" : {"line" : 778,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "CommutatorLength: for a character table","location" : {"line" : 768,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]},{"rank" : 0,"comment" : "CommutatorLength: default method requiring categories and checking properties","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CommutatorLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CommutatorLength): system setter","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CommutatorLength): default method, does nothing","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCommutatorLength"]},{"name" : "Tester(CommutatorLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCommutatorLength"]},{"name" : "DimensionsLoewyFactors","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DimensionsLoewyFactors: system getter","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DimensionsLoewyFactors)"]]},{"rank" : 35,"comment" : "DimensionsLoewyFactors: for a group (that must be a finite p-group)","location" : {"line" : 876,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DimensionsLoewyFactors: default method requiring categories and checking properties","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DimensionsLoewyFactors)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DimensionsLoewyFactors): system setter","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DimensionsLoewyFactors): default method, does nothing","location" : {"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDimensionsLoewyFactors"]},{"name" : "Tester(DimensionsLoewyFactors)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1480,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDimensionsLoewyFactors"]},{"name" : "ElementaryAbelianSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ElementaryAbelianSeries: system getter","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ElementaryAbelianSeries)"]]},{"rank" : 370,"comment" : "ElementaryAbelianSeries: handled by nice monomorphism: GroupSeries","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 63,"comment" : "ElementaryAbelianSeries: perm group","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "ElementaryAbelianSeries: pcgs computable groups using `PcgsElementaryAbelianSeries'","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 44,"comment" : "ElementaryAbelianSeries: generic method for groups","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "ElementaryAbelianSeries: list of pcgs computable groups","location" : {"line" : 1713,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 7,"comment" : "ElementaryAbelianSeries: method for lists","location" : {"line" : 906,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsFinite","Tester(IsFinite)"]]},{"rank" : 0,"comment" : "ElementaryAbelianSeries: default method requiring categories and checking properties","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ElementaryAbelianSeries): system setter","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ElementaryAbelianSeries): default method, does nothing","location" : {"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetElementaryAbelianSeries"]},{"name" : "Tester(ElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasElementaryAbelianSeries"]},{"name" : "ElementaryAbelianSeriesLargeSteps","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ElementaryAbelianSeriesLargeSteps: system getter","location" : {"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ElementaryAbelianSeriesLargeSteps)"]]},{"rank" : 370,"comment" : "ElementaryAbelianSeriesLargeSteps: handled by nice monomorphism: GroupSeries","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "ElementaryAbelianSeriesLargeSteps: remove spurious factors","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["DoEASLS"]},{"rank" : 2,"comment" : "ElementaryAbelianSeriesLargeSteps: remove spurious factors","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList"]]},{"rank" : 0,"comment" : "ElementaryAbelianSeriesLargeSteps: default method requiring categories and checking properties","location" : {"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ElementaryAbelianSeriesLargeSteps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ElementaryAbelianSeriesLargeSteps): system setter","location" : {"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ElementaryAbelianSeriesLargeSteps): default method, does nothing","location" : {"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetElementaryAbelianSeriesLargeSteps"]},{"name" : "Tester(ElementaryAbelianSeriesLargeSteps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1516,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasElementaryAbelianSeriesLargeSteps"]},{"name" : "Exponent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Exponent: system getter","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(Exponent)"]]},{"rank" : 370,"comment" : "Exponent: handled by nice monomorphism: Attribute","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 44,"comment" : "Exponent: method for abelian groups with generators","location" : {"line" : 991,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 37,"comment" : "Exponent: solvable group","location" : {"line" : 2518,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "Exponent: generic method for groups","location" : {"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "Exponent: for an ordinary character table","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 0,"comment" : "Exponent: default method requiring categories and checking properties","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Exponent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Exponent): system setter","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Exponent): default method, does nothing","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExponent"]},{"name" : "Tester(Exponent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExponent"]},{"name" : "FittingSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "FittingSubgroup: system getter","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FittingSubgroup)"]]},{"rank" : 10041,"comment" : "FittingSubgroup: for nilpotent group","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 370,"comment" : "FittingSubgroup: handled by nice monomorphism: Subgroup","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 44,"comment" : "FittingSubgroup: generic method for groups","location" : {"line" : 1013,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "FittingSubgroup:  fallback method to test conditions","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "FittingSubgroup: default method requiring categories and checking properties","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FittingSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FittingSubgroup): system setter","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FittingSubgroup): default method, does nothing","location" : {"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFittingSubgroup"]},{"name" : "Tester(FittingSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1563,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFittingSubgroup"]},{"name" : "PrefrattiniSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PrefrattiniSubgroup: system getter","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrefrattiniSubgroup)"]]},{"rank" : 52,"comment" : "PrefrattiniSubgroup: pcgs computable groups using special pcgs","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 0,"comment" : "PrefrattiniSubgroup: default method requiring categories and checking properties","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrefrattiniSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrefrattiniSubgroup): system setter","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrefrattiniSubgroup): default method, does nothing","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrefrattiniSubgroup"]},{"name" : "Tester(PrefrattiniSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrefrattiniSubgroup"]},{"name" : "FrattiniSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "FrattiniSubgroup: system getter","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FrattiniSubgroup)"]]},{"rank" : 370,"comment" : "FrattiniSubgroup: handled by nice monomorphism: Subgroup","location" : {"line" : 435,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 71,"comment" : "FrattiniSubgroup: method for trivial groups","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "FrattiniSubgroup: for permgrp","location" : {"line" : 1616,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 52,"comment" : "FrattiniSubgroup: pcgs computable groups using prefrattini and core","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 43,"comment" : "FrattiniSubgroup: for abelian groups","location" : {"line" : 1044,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 41,"comment" : "FrattiniSubgroup: for nilpotent groups","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 35,"comment" : "FrattiniSubgroup: Using radical","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/maxsub.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "FrattiniSubgroup: generic method for groups","location" : {"line" : 1072,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "FrattiniSubgroup: default method requiring categories and checking properties","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FrattiniSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FrattiniSubgroup): system setter","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FrattiniSubgroup): default method, does nothing","location" : {"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrattiniSubgroup"]},{"name" : "Tester(FrattiniSubgroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1626,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrattiniSubgroup"]},{"name" : "InvariantForm","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "InvariantForm: system getter","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(InvariantForm)"]]},{"rank" : 0,"comment" : "InvariantForm: default method requiring categories and checking properties","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InvariantForm)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InvariantForm): system setter","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InvariantForm): default method, does nothing","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInvariantForm"]},{"name" : "Tester(InvariantForm)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInvariantForm"]},{"name" : "JenningsSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "JenningsSeries: system getter","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(JenningsSeries)"]]},{"rank" : 370,"comment" : "JenningsSeries: handled by nice monomorphism: GroupSeries","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "JenningsSeries: generic method for groups","location" : {"line" : 1105,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "JenningsSeries: default method requiring categories and checking properties","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(JenningsSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(JenningsSeries): system setter","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(JenningsSeries): default method, does nothing","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetJenningsSeries"]},{"name" : "Tester(JenningsSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasJenningsSeries"]},{"name" : "LowerCentralSeriesOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "LowerCentralSeriesOfGroup: system getter","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(LowerCentralSeriesOfGroup)"]]},{"rank" : 370,"comment" : "LowerCentralSeriesOfGroup: handled by nice monomorphism: GroupSeries","location" : {"line" : 668,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 58,"comment" : "LowerCentralSeriesOfGroup: for permgrp","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 37,"comment" : "LowerCentralSeriesOfGroup: fp group","location" : {"line" : 5055,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 35,"comment" : "LowerCentralSeriesOfGroup: generic method for groups","location" : {"line" : 1138,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "LowerCentralSeriesOfGroup: default method requiring categories and checking properties","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LowerCentralSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LowerCentralSeriesOfGroup): system setter","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LowerCentralSeriesOfGroup): default method, does nothing","location" : {"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLowerCentralSeriesOfGroup"]},{"name" : "Tester(LowerCentralSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1682,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLowerCentralSeriesOfGroup"]},{"name" : "NilpotencyClassOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NilpotencyClassOfGroup: system getter","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NilpotencyClassOfGroup)"]]},{"rank" : 35,"comment" : "NilpotencyClassOfGroup: generic","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NilpotencyClassOfGroup: default method requiring categories and checking properties","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NilpotencyClassOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NilpotencyClassOfGroup): system setter","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NilpotencyClassOfGroup): default method, does nothing","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNilpotencyClassOfGroup"]},{"name" : "Tester(NilpotencyClassOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNilpotencyClassOfGroup"]},{"name" : "MaximalNormalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MaximalNormalSubgroups: system getter","location" : {"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalNormalSubgroups)"]]},{"rank" : 10037,"comment" : "MaximalNormalSubgroups: for simple groups","location" : {"line" : 4491,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)"]]},{"rank" : 43,"comment" : "MaximalNormalSubgroups: for solvable groups","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 37,"comment" : "MaximalNormalSubgroups: for solvable groups","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "MaximalNormalSubgroups: generic search","location" : {"line" : 4483,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MaximalNormalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalNormalSubgroups): system setter","location" : {"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalNormalSubgroups): default method, does nothing","location" : {"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalNormalSubgroups"]},{"name" : "Tester(MaximalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1723,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalNormalSubgroups"]},{"name" : "NormalMaximalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NormalMaximalSubgroups: system getter","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalMaximalSubgroups)"]]},{"rank" : 52,"comment" : "NormalMaximalSubgroups: pcgs computable groups using special pcgs","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 0,"comment" : "NormalMaximalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalMaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalMaximalSubgroups): system setter","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalMaximalSubgroups): default method, does nothing","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalMaximalSubgroups"]},{"name" : "Tester(NormalMaximalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalMaximalSubgroups"]},{"name" : "MinimalNormalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MinimalNormalSubgroups: system getter","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimalNormalSubgroups)"]]},{"rank" : 10037,"comment" : "MinimalNormalSubgroups: for simple groups","location" : {"line" : 4585,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)"]]},{"rank" : 378,"comment" : "MinimalNormalSubgroups: handled by nice monomorphism","location" : {"line" : 4576,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 45,"comment" : "MinimalNormalSubgroups: generic search in NormalSubgroups","location" : {"line" : 4534,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(NormalSubgroups)"]]},{"rank" : 44,"comment" : "MinimalNormalSubgroups: for nilpotent groups","location" : {"line" : 4644,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 44,"comment" : "MinimalNormalSubgroups: compute from conjugacy classes","location" : {"line" : 4559,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MinimalNormalSubgroups:  fallback method to test conditions","location" : {"line" : 4648,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MinimalNormalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimalNormalSubgroups): system setter","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimalNormalSubgroups): default method, does nothing","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimalNormalSubgroups"]},{"name" : "Tester(MinimalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimalNormalSubgroups"]},{"name" : "NormalSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NormalSubgroups: system getter","location" : {"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalSubgroups)"]]},{"rank" : 370,"comment" : "NormalSubgroups: handled by nice monomorphism: subgroups","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 58,"comment" : "NormalSubgroups: homomorphism principle perm groups","location" : {"line" : 2226,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["NormalSubgroupsCalc"]},{"rank" : 46,"comment" : "NormalSubgroups: homomorphism principle pc groups","location" : {"line" : 2226,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 35,"comment" : "NormalSubgroups: generic class union","location" : {"line" : 4444,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NormalSubgroups: default method requiring categories and checking properties","location" : {"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalSubgroups): system setter","location" : {"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalSubgroups): default method, does nothing","location" : {"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalSubgroups"]},{"name" : "Tester(NormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1784,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalSubgroups"]},{"name" : "NrConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NrConjugacyClasses: system getter","location" : {"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrConjugacyClasses)"]]},{"rank" : 399,"comment" : "NrConjugacyClasses: for natural SL","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalSL","Tester(IsNaturalSL)"]]},{"rank" : 397,"comment" : "NrConjugacyClasses: for natural SU","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSubgroupSL","Tester(IsSubgroupSL)","IsFullSubgroupGLorSLRespectingSesquilinearForm","Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"]]},{"rank" : 397,"comment" : "NrConjugacyClasses: for natural GL","location" : {"line" : 655,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"]]},{"rank" : 395,"comment" : "NrConjugacyClasses: for GU(n,q)","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsFullSubgroupGLorSLRespectingSesquilinearForm","Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"]]},{"rank" : 370,"comment" : "NrConjugacyClasses: handled by nice monomorphism: Attribute","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 38,"comment" : "NrConjugacyClasses","location" : {"line" : 1164,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsAttributeStoringRep","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(ConjugacyClasses)"]]},{"rank" : 36,"comment" : "NrConjugacyClasses: for a group with known ordinary character table","location" : {"line" : 1526,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(OrdinaryCharacterTable)"]]},{"rank" : 35,"comment" : "NrConjugacyClasses: generic method for groups","location" : {"line" : 1169,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "NrConjugacyClasses: for an ordinary character table with underlying group","location" : {"line" : 1497,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable","Tester(UnderlyingGroup)"]]},{"rank" : 22,"comment" : "NrConjugacyClasses: for a Brauer character table","location" : {"line" : 1503,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 21,"comment" : "NrConjugacyClasses: for a character table with known class lengths","location" : {"line" : 1513,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable","Tester(SizesConjugacyClasses)"]]},{"rank" : 21,"comment" : "NrConjugacyClasses: for a character table with known centralizer orders","location" : {"line" : 1508,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable","Tester(SizesCentralizers)"]]},{"rank" : 0,"comment" : "NrConjugacyClasses: default method requiring categories and checking properties","location" : {"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrConjugacyClasses): system setter","location" : {"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrConjugacyClasses): default method, does nothing","location" : {"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrConjugacyClasses"]},{"name" : "Tester(NrConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1820,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrConjugacyClasses"]},{"name" : "Omega","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsFunction"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsFunction"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 1849,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 668,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 669,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 671,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 54,"comment" : "Omega","location" : {"line" : 1242,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 38,"comment" : "Omega","location" : {"line" : 1984,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 73,"comment" : "Omega","location" : {"line" : 1259,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 56,"comment" : "Omega","location" : {"line" : 1990,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 39,"comment" : "Omega","location" : {"line" : 1996,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFunction"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [{"rank" : 57,"comment" : "Omega","location" : {"line" : 2000,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFunction"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],"aka" : ["OmegaCons"]}],"5args" : [],"6args" : []},"aka" : ["Omega"]},{"name" : "OmegaOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 73,"comment" : "OmegaOp: for p groups","location" : {"line" : 2784,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OmegaOp"]},{"name" : "ComputedOmegas","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedOmegas: system getter","location" : {"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedOmegas)"]]},{"rank" : 35,"comment" : "ComputedOmegas","location" : {"line" : 1261,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedOmegas: default method requiring categories and checking properties","location" : {"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedOmegas)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedOmegas): system mutable setter","location" : {"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedOmegas): default method, does nothing","location" : {"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedOmegas"]},{"name" : "Tester(ComputedOmegas)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1852,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedOmegas"]},{"name" : "AgemoOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1878,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 81,"comment" : "AgemoOp: PGroups","location" : {"line" : 2556,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AgemoOp"]},{"name" : "ComputedAgemos","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedAgemos: system getter","location" : {"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedAgemos)"]]},{"rank" : 35,"comment" : "ComputedAgemos","location" : {"line" : 1819,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedAgemos: default method requiring categories and checking properties","location" : {"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedAgemos)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedAgemos): system mutable setter","location" : {"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedAgemos): default method, does nothing","location" : {"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedAgemos"]},{"name" : "Tester(ComputedAgemos)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1879,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedAgemos"]},{"name" : "RadicalGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RadicalGroup: system getter","location" : {"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RadicalGroup)"]]},{"rank" : 433,"comment" : "RadicalGroup: TF method, use tree","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"]]},{"rank" : 370,"comment" : "RadicalGroup: handled by nice monomorphism: Subgroup","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 137,"comment" : "RadicalGroup: solvable group is its own radical","location" : {"line" : 1284,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 58,"comment" : "RadicalGroup:  for a permutation group","location" : {"line" : 1774,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "RadicalGroup: factor out Fitting subgroup","location" : {"line" : 1277,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RadicalGroup:  fallback method to test conditions","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RadicalGroup: default method requiring categories and checking properties","location" : {"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RadicalGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RadicalGroup): system setter","location" : {"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RadicalGroup): default method, does nothing","location" : {"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRadicalGroup"]},{"name" : "Tester(RadicalGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1902,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRadicalGroup"]},{"name" : "RationalClasses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RationalClasses: system getter","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RationalClasses)"]]},{"rank" : 370,"comment" : "RationalClasses: via niceomorphism","location" : {"line" : 806,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "RationalClasses: use classes","location" : {"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "RationalClasses: trial","location" : {"line" : 702,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RationalClasses: default method requiring categories and checking properties","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RationalClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RationalClasses): system setter","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RationalClasses): default method, does nothing","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRationalClasses"]},{"name" : "Tester(RationalClasses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRationalClasses"]},{"name" : "GeneratorsSmallest","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "GeneratorsSmallest: system getter","location" : {"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsSmallest)"]]},{"rank" : 390,"comment" : "GeneratorsSmallest: matrix group via niceo","location" : {"line" : 585,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "GeneratorsSmallest: perm group via minimal stab chain","location" : {"line" : 1976,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "GeneratorsSmallest: for a free group","location" : {"line" : 415,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]]},{"rank" : 41,"comment" : "GeneratorsSmallest: group of pc words which is full family","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["Tester(FamilyPcgs)"]]},{"rank" : 35,"comment" : "GeneratorsSmallest: generic method for groups","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 26,"comment" : "GeneratorsSmallest: for a free monoid","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/monofree.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"]]},{"rank" : 20,"comment" : "GeneratorsSmallest: for a free semigroup","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/smgrpfre.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsSmallest)","type" : "GAP_Operation","filters" : [[["IsMagma"],[]]],"locations" : [{"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsSmallest): system setter","location" : {"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsSmallest): default method, does nothing","location" : {"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsSmallest"]},{"name" : "Tester(GeneratorsSmallest)","type" : "GAP_Operation","filters" : [[["IsMagma"]]],"locations" : [{"line" : 1956,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsSmallest"]},{"name" : "LargestElementGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "LargestElementGroup: system getter","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(LargestElementGroup)"]]},{"rank" : 390,"comment" : "LargestElementGroup: matrix group via niceo","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "LargestElementGroup: perm group via minimal stab chain","location" : {"line" : 1981,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "LargestElementGroup: use `EnumeratorSorted'","location" : {"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "LargestElementGroup: default method requiring categories and checking properties","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LargestElementGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LargestElementGroup): system setter","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LargestElementGroup): default method, does nothing","location" : {"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLargestElementGroup"]},{"name" : "Tester(LargestElementGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1974,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLargestElementGroup"]},{"name" : "MinimalGeneratingSet","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "MinimalGeneratingSet: system getter","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimalGeneratingSet)"]]},{"rank" : 369,"comment" : "MinimalGeneratingSet","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 116,"comment" : "MinimalGeneratingSet: cyclic groups","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCyclic","Tester(IsCyclic)"]]},{"rank" : 93,"comment" : "MinimalGeneratingSet: compute via Smith normal form","location" : {"line" : 2446,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","CanEasilyComputePcgs"]]},{"rank" : 62,"comment" : "MinimalGeneratingSet: pcgs computable groups using special pcgs","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 35,"comment" : "MinimalGeneratingSet: solvable group via pc","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MinimalGeneratingSet: fallback method to inform user","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [[]]},{"rank" : 0,"comment" : "MinimalGeneratingSet: default method requiring categories and checking properties","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimalGeneratingSet)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimalGeneratingSet): system setter","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimalGeneratingSet): default method, does nothing","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimalGeneratingSet"]},{"name" : "Tester(MinimalGeneratingSet)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimalGeneratingSet"]},{"name" : "SmallGeneratingSet","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SmallGeneratingSet: system getter","location" : {"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(SmallGeneratingSet)"]]},{"rank" : 369,"comment" : "SmallGeneratingSet","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 62,"comment" : "SmallGeneratingSet: using minimal generating set","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 58,"comment" : "SmallGeneratingSet: random and generators subset, randsims","location" : {"line" : 1898,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "SmallGeneratingSet: generators subset","location" : {"line" : 4675,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SmallGeneratingSet: default method requiring categories and checking properties","location" : {"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SmallGeneratingSet)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SmallGeneratingSet): system setter","location" : {"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SmallGeneratingSet): default method, does nothing","location" : {"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSmallGeneratingSet"]},{"name" : "Tester(SmallGeneratingSet)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2035,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSmallGeneratingSet"]},{"name" : "SupersolvableResiduum","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SupersolvableResiduum: system getter","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(SupersolvableResiduum)"]]},{"rank" : 44,"comment" : "SupersolvableResiduum: method for finite groups (call `SupersolvableResiduumDefault')","location" : {"line" : 1585,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SupersolvableResiduum: default method requiring categories and checking properties","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SupersolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SupersolvableResiduum): system setter","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SupersolvableResiduum): default method, does nothing","location" : {"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSupersolvableResiduum"]},{"name" : "Tester(SupersolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2058,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSupersolvableResiduum"]},{"name" : "ComplementSystem","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComplementSystem: system getter","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComplementSystem)"]]},{"rank" : 44,"comment" : "ComplementSystem: generic method for finite groups","location" : {"line" : 1612,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComplementSystem: default method requiring categories and checking properties","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComplementSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComplementSystem): system setter","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComplementSystem): default method, does nothing","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComplementSystem"]},{"name" : "Tester(ComplementSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComplementSystem"]},{"name" : "SylowSystem","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SylowSystem: system getter","location" : {"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(SylowSystem)"]]},{"rank" : 44,"comment" : "SylowSystem: generic method for finite groups","location" : {"line" : 1643,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SylowSystem: default method requiring categories and checking properties","location" : {"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SylowSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SylowSystem): system setter","location" : {"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SylowSystem): default method, does nothing","location" : {"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSylowSystem"]},{"name" : "Tester(SylowSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2146,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSylowSystem"]},{"name" : "HallSystem","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "HallSystem: system getter","location" : {"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(HallSystem)"]]},{"rank" : 44,"comment" : "HallSystem: test whether finite group is solvable","location" : {"line" : 1674,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "HallSystem: default method requiring categories and checking properties","location" : {"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(HallSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(HallSystem): system setter","location" : {"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(HallSystem): default method, does nothing","location" : {"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHallSystem"]},{"name" : "Tester(HallSystem)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2174,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasHallSystem"]},{"name" : "Socle","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Socle: system getter","location" : {"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(Socle)"]]},{"rank" : 10047,"comment" : "Socle: for elementary abelian groups","location" : {"line" : 1681,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsElementaryAbelian","Tester(IsElementaryAbelian)"]]},{"rank" : 10041,"comment" : "Socle: for nilpotent groups","location" : {"line" : 1753,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 10037,"comment" : "Socle: for simple groups","location" : {"line" : 1681,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)"]]},{"rank" : 62,"comment" : "Socle","location" : {"line" : 746,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "Socle","location" : {"line" : 737,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 58,"comment" : "Socle: for permgrp","location" : {"line" : 1591,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "Socle: for p-groups","location" : {"line" : 2563,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPGroup","Tester(IsPGroup)"]]},{"rank" : 35,"comment" : "Socle: from normal subgroups","location" : {"line" : 2255,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Socle:  fallback method to test conditions","location" : {"line" : 1755,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Socle: default method requiring categories and checking properties","location" : {"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Socle)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Socle): system setter","location" : {"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Socle): default method, does nothing","location" : {"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSocle"]},{"name" : "Tester(Socle)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2216,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSocle"]},{"name" : "UpperCentralSeriesOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "UpperCentralSeriesOfGroup: system getter","location" : {"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(UpperCentralSeriesOfGroup)"]]},{"rank" : 370,"comment" : "UpperCentralSeriesOfGroup: handled by nice monomorphism: GroupSeries","location" : {"line" : 853,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "UpperCentralSeriesOfGroup: generic method for groups","location" : {"line" : 1792,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "UpperCentralSeriesOfGroup: default method requiring categories and checking properties","location" : {"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UpperCentralSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UpperCentralSeriesOfGroup): system setter","location" : {"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UpperCentralSeriesOfGroup): default method, does nothing","location" : {"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUpperCentralSeriesOfGroup"]},{"name" : "Tester(UpperCentralSeriesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUpperCentralSeriesOfGroup"]},{"name" : "EulerianFunction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2274,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : "EulerianFunction: for a group with table of marks","location" : {"line" : 2706,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(TableOfMarks)"],["IsInt","IsPosRat"]]},{"rank" : 55,"comment" : "EulerianFunction: pcgs computable groups using special pcgs","location" : {"line" : 1151,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsInt","IsPosRat"]]},{"rank" : 1,"comment" : "EulerianFunction:  fallback method to test conditions","location" : {"line" : 1157,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "EulerianFunction: for a group, compute table of marks","location" : {"line" : 2723,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EulerianFunction"]},{"name" : "AsSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2311,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 116,"comment" : "AsSubgroup: perm groups","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "AsSubgroup: generic method for groups","location" : {"line" : 1866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubgroup"]},{"name" : "ClassMultiplicationCoefficient","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection"],["IsCollection"],["IsCollection"]],[["IsOrdinaryTable"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 2330,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 2842,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 89,"comment" : "ClassMultiplicationCoefficient: for an ord. table, and three pos. integers","location" : {"line" : 4033,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []},"aka" : ["ClassMultiplicationCoefficient"]},{"name" : "ClosureGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2381,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10072,"comment" : "ClosureGroup: for two groups, the bigger conatining the whole family","location" : {"line" : 2070,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 10042,"comment" : "ClosureGroup: method for group that contains the whole family","location" : {"line" : 2041,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 740,"comment" : "ClosureGroup: handled by nice monomorphism:group CollColl","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 375,"comment" : "ClosureGroup: by niceo","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 119,"comment" : "ClosureGroup: permgroup, elements","location" : {"line" : 779,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsPerm)"]]},{"rank" : 75,"comment" : "ClosureGroup: for subgroup of fp group, and subgroup","location" : {"line" : 2059,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["Tester(ParentAttr)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 75,"comment" : "ClosureGroup: empty list","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 72,"comment" : "ClosureGroup: groups with home pcgs","location" : {"line" : 825,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "ClosureGroup: generic method for two groups","location" : {"line" : 2061,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 66,"comment" : "ClosureGroup: permgroup, element","location" : {"line" : 773,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"]]},{"rank" : 52,"comment" : "ClosureGroup: for group and empty element list","location" : {"line" : 2089,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 45,"comment" : "ClosureGroup: subgrp fp: Has coset table","location" : {"line" : 2048,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["Tester(ParentAttr)","IsSubgroupFpGroup","Tester(CosetTableInWholeGroup)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 44,"comment" : "ClosureGroup: subgrp fp: by quotient subgroup","location" : {"line" : 2016,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["Tester(ParentAttr)","IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 41,"comment" : "ClosureGroup: groups with home pcgs","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 41,"comment" : "ClosureGroup: groups with cheap membership test","location" : {"line" : 2027,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyTestMembership"],["IsMultiplicativeElementWithInverse"]],"aka" : ["ClosureGroupIntest"]},{"rank" : 40,"comment" : "ClosureGroup: generic method for group and element","location" : {"line" : 2023,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 37,"comment" : "ClosureGroup: for group and element list","location" : {"line" : 2083,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection"]]},{"rank" : 0,"comment" : "ClosureGroup:  fallback method to test conditions","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 120,"comment" : "ClosureGroup: permgroup, elements, options","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsPerm)"],["IsRecord"]],"aka" : ["DoClosurePrmGp"]},{"rank" : 117,"comment" : "ClosureGroup: permgroup, permgroup, options","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]},{"rank" : 76,"comment" : "ClosureGroup: empty list and options","location" : {"line" : 797,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsRecord"]]},{"rank" : 67,"comment" : "ClosureGroup: permgroup, element, options","location" : {"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureGroup"]},{"name" : "CommutatorSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2463,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "CommutatorSubgroup: handled by nice monomorphism:group CollColl","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 116,"comment" : "CommutatorSubgroup: permgroups","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 77,"comment" : "CommutatorSubgroup: normal subgroup with whole fp group","location" : {"line" : 5104,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"]]},{"rank" : 77,"comment" : "CommutatorSubgroup: whole fp group with normal subgroup","location" : {"line" : 5098,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]],"aka" : ["CoSuFp"]},{"rank" : 74,"comment" : "CommutatorSubgroup: normal subgroup with whole fp group","location" : {"line" : 5124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 72,"comment" : "CommutatorSubgroup: groups with home pcgs","location" : {"line" : 905,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "CommutatorSubgroup: generic method for two groups","location" : {"line" : 2173,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CommutatorSubgroup"]},{"name" : "ConjugateGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2488,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 376,"comment" : "ConjugateGroup: handled by nice monomorphism: group CollElm","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 66,"comment" : "ConjugateGroup: <P>, <g>","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"]]},{"rank" : 44,"comment" : "ConjugateGroup: subgroups of fp group with coset table","location" : {"line" : 1743,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","Tester(CosetTableInWholeGroup)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 43,"comment" : "ConjugateGroup: subgroups of fp group by quotient","location" : {"line" : 1756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 41,"comment" : "ConjugateGroup: groups with home pcgs","location" : {"line" : 965,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 40,"comment" : "ConjugateGroup: <G>, <g>","location" : {"line" : 2199,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ConjugateSubgroup","type" : "GAP_Operation","filters" : [[["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 2515,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "ConjugateSubgroup: for group with parent, and group element","location" : {"line" : 2214,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 40,"comment" : "ConjugateSubgroup: for group without parent","location" : {"line" : 2218,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugateSubgroup"]},{"name" : "ConjugateSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2533,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 72,"comment" : "ConjugateSubgroups: groups with home pcgs","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "ConjugateSubgroups: generic","location" : {"line" : 4966,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugateSubgroups"]},{"name" : "CoreOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "CoreOp: handled by nice monomorphism:group CollColl","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 75,"comment" : "CoreOp: subgroups of fp group by quotient","location" : {"line" : 1814,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 74,"comment" : "CoreOp: subgroups of fp group: use quotient rep","location" : {"line" : 1799,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 71,"comment" : "CoreOp: pcgs computable groups","location" : {"line" : 1057,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "CoreOp: generic method for two groups","location" : {"line" : 2261,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CoreOp"]},{"name" : "CoreInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CoreInParent: system getter","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoreInParent)"]]},{"rank" : 35,"comment" : "CoreInParent: method that calls the two-argument operation CoreOp","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "CoreInParent: default method requiring categories and checking properties","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoreInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoreInParent): system setter","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoreInParent): default method, does nothing","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoreInParent"]},{"name" : "Tester(CoreInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoreInParent"]},{"name" : "Core","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "Core: try to exploit the in-parent attribute CoreInParent","location" : {"line" : 2558,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Core"]},{"name" : "CosetTable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2624,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "CosetTable: for finitely presented groups","location" : {"line" : 980,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CosetTable"]},{"name" : "CosetTableNormalClosure","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2640,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "CosetTableNormalClosure: for finitely presented groups","location" : {"line" : 1000,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CosetTableNormalClosure"]},{"name" : "FactorGroupNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2673,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "FactorGroupNC: generic method for two groups","location" : {"line" : 2294,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FactorGroupNC"]},{"name" : "NaturalHomomorphism","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2690,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "NaturalHomomorphism: for a group with natural homomorphism stored","location" : {"line" : 2304,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphism"]},{"name" : "IndexOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 2616,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "IndexOp: handled by nice monomorphism: attribute CollColl","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 77,"comment" : "IndexOp: for finitely presented group in whole group","location" : {"line" : 1655,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "IndexOp: generic method for two groups","location" : {"line" : 2326,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "IndexOp: for two character tables","location" : {"line" : 3329,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]},{"rank" : 0,"comment" : "IndexOp:  fallback method to test conditions","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IndexOp"]},{"name" : "IndexInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IndexInParent: system getter","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndexInParent)"]]},{"rank" : 35,"comment" : "IndexInParent: method that calls the two-argument operation IndexOp","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IndexInParent: default method requiring categories and checking properties","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndexInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndexInParent): system setter","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndexInParent): default method, does nothing","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndexInParent"]},{"name" : "Tester(IndexInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndexInParent"]},{"name" : "Index","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 2614,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "Index: try to exploit the in-parent attribute IndexInParent","location" : {"line" : 2720,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "Index: for two character tables","location" : {"line" : 3322,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Index"]},{"name" : "IndexNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2722,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 2618,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 751,"comment" : "IndexNC: for two groups with known Size value","location" : {"line" : 2358,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsFinite","Tester(IsFinite)","Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 740,"comment" : "IndexNC: handled by nice monomorphism: attribute CollColl","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 74,"comment" : "IndexNC: for finitely presented groups","location" : {"line" : 1639,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "IndexNC: generic method for two groups (the second one being finite)","location" : {"line" : 2349,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "IndexNC: for two character tables","location" : {"line" : 3336,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]},{"rank" : 0,"comment" : "IndexNC:  fallback method to test conditions","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IndexNC"]},{"name" : "IndexInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IndexInWholeGroup: system getter","location" : {"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndexInWholeGroup)"]]},{"rank" : 40,"comment" : "IndexInWholeGroup: for full fp group","location" : {"line" : 1693,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "IndexInWholeGroup: subgroup fp by quotient","location" : {"line" : 1690,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 37,"comment" : "IndexInWholeGroup: subgroup fp","location" : {"line" : 1684,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "IndexInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndexInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndexInWholeGroup): system setter","location" : {"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndexInWholeGroup): default method, does nothing","location" : {"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndexInWholeGroup"]},{"name" : "Tester(IndexInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndexInWholeGroup"]},{"name" : "IndependentGeneratorsOfAbelianGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]],"locations" : [{"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "IndependentGeneratorsOfAbelianGroup: system getter","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndependentGeneratorsOfAbelianGroup)"]]},{"rank" : 396,"comment" : "IndependentGeneratorsOfAbelianGroup: for groups of FFE","location" : {"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["CategoryCollections(IsFFE)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 72,"comment" : "IndependentGeneratorsOfAbelianGroup: for perm group","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 47,"comment" : "IndependentGeneratorsOfAbelianGroup: Use Pcgs and NormalFormIntMat to find the independent generators","location" : {"line" : 2410,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","CanEasilyComputePcgs"]]},{"rank" : 46,"comment" : "IndependentGeneratorsOfAbelianGroup: For abelian fpgroup, use Smith normal form","location" : {"line" : 6099,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsCommutative","Tester(IsCommutative)","IsGroupOfFamily","IsSubgroupFpGroup"]],"aka" : ["IndependentGeneratorsOfMaximalAbelianQuotientOfFpGroup"]},{"rank" : 44,"comment" : "IndependentGeneratorsOfAbelianGroup: for direct products","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(DirectProductInfo)"]]},{"rank" : 43,"comment" : "IndependentGeneratorsOfAbelianGroup: finite abelian group","location" : {"line" : 1187,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]},{"rank" : 0,"comment" : "IndependentGeneratorsOfAbelianGroup: default method requiring categories and checking properties","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndependentGeneratorsOfAbelianGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"],[]]],"locations" : [{"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndependentGeneratorsOfAbelianGroup): system setter","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndependentGeneratorsOfAbelianGroup): default method, does nothing","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndependentGeneratorsOfAbelianGroup"]},{"name" : "Tester(IndependentGeneratorsOfAbelianGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"]]],"locations" : [{"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndependentGeneratorsOfAbelianGroup"]},{"name" : "IndependentGeneratorExponents","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 2804,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 411,"comment" : "IndependentGeneratorExponents: for groups of FFE","location" : {"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["CategoryCollections(IsFFE)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsFFE"]]},{"rank" : 59,"comment" : "IndependentGeneratorExponents: for direct products","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(DirectProductInfo)"],["IsMultiplicativeElementWithInverse","IsDirectProductElement"]]},{"rank" : 48,"comment" : "IndependentGeneratorExponents","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IndependentGeneratorExponents"]},{"name" : "IsConjugate","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[]]],"locations" : [{"line" : 2840,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 105,"comment" : "IsConjugate: subgroups","location" : {"line" : 2382,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "IsConjugate: group elements","location" : {"line" : 2369,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsConjugate"]},{"name" : "IsNormalOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "IsNormalOp: handled by nice monomorphism: attribute CollColl","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 78,"comment" : "IsNormalOp: subgroups of fp group by quot. rep in full fp grp.","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 70,"comment" : "IsNormalOp: generic method for two groups","location" : {"line" : 2394,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsNormalOp"]},{"name" : "IsNormalInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsNormalInParent: system getter","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNormalInParent)"]]},{"rank" : 35,"comment" : "IsNormalInParent: method that calls the two-argument operation IsNormalOp","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsNormalInParent: default method requiring categories and checking properties","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNormalInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNormalInParent): system setter","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNormalInParent): default method, does nothing","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNormalInParent"]},{"name" : "Tester(IsNormalInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNormal","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "IsNormal: try to exploit the in-parent attribute IsNormalInParent","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsNormal"]},{"name" : "IsCharacteristicSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2887,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "IsCharacteristicSubgroup: generic method for two groups","location" : {"line" : 2423,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsCharacteristicSubgroup"]},{"name" : "IsPNilpotentOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 72,"comment" : "IsPNilpotentOp: for a group with special pcgs: test for normal Hall subgroup","location" : {"line" : 2446,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(SpecialPcgs)"],["IsInt","IsPosRat"]]},{"rank" : 63,"comment" : "IsPNilpotentOp: check if p divides order of hypocentre","location" : {"line" : 2457,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "IsPNilpotentOp:  fallback method to test conditions","location" : {"line" : 2459,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPNilpotentOp"]},{"name" : "ComputedIsPNilpotents","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedIsPNilpotents: system getter","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedIsPNilpotents)"]]},{"rank" : 34,"comment" : "ComputedIsPNilpotents: default method","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedIsPNilpotents: default method requiring categories and checking properties","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedIsPNilpotents)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedIsPNilpotents): system mutable setter","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedIsPNilpotents): default method, does nothing","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedIsPNilpotents"]},{"name" : "Tester(ComputedIsPNilpotents)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedIsPNilpotents"]},{"name" : "IsPNilpotent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "IsPNilpotent: default method","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPNilpotent"]},{"name" : "HasIsPNilpotent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasIsPNilpotent: default method","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsPNilpotent"]},{"name" : "SetIsPNilpotent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetIsPNilpotent: default method","location" : {"line" : 2904,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPNilpotent"]},{"name" : "IsPSolvableOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10067,"comment" : "IsPSolvableOp: for solvable groups: return true","location" : {"line" : 2488,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"],["IsInt","IsPosRat"]]},{"rank" : 63,"comment" : "IsPSolvableOp: generic method: build descending series with abelian or p'-factors","location" : {"line" : 2482,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "IsPSolvableOp:  fallback method to test conditions","location" : {"line" : 2490,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPSolvableOp"]},{"name" : "ComputedIsPSolvables","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedIsPSolvables: system getter","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedIsPSolvables)"]]},{"rank" : 34,"comment" : "ComputedIsPSolvables: default method","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedIsPSolvables: default method requiring categories and checking properties","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedIsPSolvables)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedIsPSolvables): system mutable setter","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedIsPSolvables): default method, does nothing","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedIsPSolvables"]},{"name" : "Tester(ComputedIsPSolvables)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedIsPSolvables"]},{"name" : "IsPSolvable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "IsPSolvable: default method","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPSoluble","IsPSolvable"]},{"name" : "HasIsPSolvable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasIsPSolvable: default method","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsPSolvable"]},{"name" : "SetIsPSolvable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetIsPSolvable: default method","location" : {"line" : 2923,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPSolvable"]},{"name" : "IsSubnormal","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2983,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "IsSubnormal: generic method for two groups","location" : {"line" : 2810,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSubnormal"]},{"name" : "NormalClosureOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "NormalClosureOp: handled by nice monomorphism:group CollColl","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 116,"comment" : "NormalClosureOp: subgroup of perm group","location" : {"line" : 923,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 77,"comment" : "NormalClosureOp: whole fp group with normal subgroup","location" : {"line" : 5040,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 72,"comment" : "NormalClosureOp: groups with home pcgs","location" : {"line" : 1277,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "NormalClosureOp: generic method for two groups","location" : {"line" : 2604,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NormalClosureOp:  fallback method to test conditions","location" : {"line" : 463,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalClosureOp"]},{"name" : "NormalClosureInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NormalClosureInParent: system getter","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalClosureInParent)"]]},{"rank" : 35,"comment" : "NormalClosureInParent: method that calls the two-argument operation NormalClosureOp","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NormalClosureInParent: default method requiring categories and checking properties","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalClosureInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalClosureInParent): system setter","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalClosureInParent): default method, does nothing","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalClosureInParent"]},{"name" : "Tester(NormalClosureInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalClosureInParent"]},{"name" : "NormalClosure","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "NormalClosure: try to exploit the in-parent attribute NormalClosureInParent","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalClosure"]},{"name" : "NormalIntersection","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3030,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "NormalIntersection: handled by nice monomorphism:group CollColl","location" : {"line" : 698,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 72,"comment" : "NormalIntersection: method for two groups with home pcgs","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcint.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "NormalIntersection: generic method for two groups","location" : {"line" : 2613,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalIntersection"]},{"name" : "NormalizerOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 11,"comment" : "NormalizerOp","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"]]}],"2args" : [{"rank" : 740,"comment" : "NormalizerOp: handled by nice monomorphism: Subgroup CollColl","location" : {"line" : 706,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 120,"comment" : "NormalizerOp: subgp of natural alternating group","location" : {"line" : 1333,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["DoNormalizerSA"]},{"rank" : 120,"comment" : "NormalizerOp: subgp of natural symmetric group","location" : {"line" : 1333,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "NormalizerOp: perm group","location" : {"line" : 2765,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["NormalizerPermGroup"]},{"rank" : 104,"comment" : "NormalizerOp","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["IsNaturalGL","Tester(IsNaturalGL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 78,"comment" : "NormalizerOp: in whole group by quot. rep","location" : {"line" : 3297,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 76,"comment" : "NormalizerOp: subgroups of fp group by quot. rep","location" : {"line" : 3288,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 74,"comment" : "NormalizerOp: subgroups of fp group: find stabilizing cosets","location" : {"line" : 3245,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 73,"comment" : "NormalizerOp: for groups with home pcgs","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 72,"comment" : "NormalizerOp: slightly better orbit algorithm for pc groups","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 70,"comment" : "NormalizerOp: generic method for two groups","location" : {"line" : 2643,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "NormalizerOp: generic method for group and Element","location" : {"line" : 2650,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 0,"comment" : "NormalizerOp:  fallback method to test conditions","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormaliserOp","NormalizerOp"]},{"name" : "NormalizerInParent","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "NormalizerInParent: system getter","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalizerInParent)"]]},{"rank" : 6,"comment" : "NormalizerInParent: method that calls the two-argument operation NormalizerOp","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalizerInParent)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalizerInParent): system setter","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalizerInParent): default method, does nothing","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalizerInParent"]},{"name" : "Tester(NormalizerInParent)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalizerInParent"]},{"name" : "Normalizer","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "Normalizer: try to exploit the in-parent attribute NormalizerInParent","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 174,"comment" : "Normalizer: perm group","location" : {"line" : 2771,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Normaliser","Normalizer"]},{"name" : "CentralizerModulo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3087,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 107,"comment" : "CentralizerModulo: group centralizer via generators","location" : {"line" : 1659,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 77,"comment" : "CentralizerModulo: pcgs computable groups, for elm","location" : {"line" : 1646,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 0,"comment" : "CentralizerModulo:  fallback method to test conditions","location" : {"line" : 1663,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CentraliserModulo","CentralizerModulo"]},{"name" : "PCentralSeriesOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 389,"comment" : "PCentralSeriesOp: handled by nice monomorphism: GroupSeries CollOther","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsInt","IsPosRat"]]},{"rank" : 81,"comment" : "PCentralSeriesOp: method for pc groups and prime","location" : {"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]},{"rank" : 77,"comment" : "PCentralSeriesOp: for permgrp","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 54,"comment" : "PCentralSeriesOp: generic method for group and prime","location" : {"line" : 2686,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PCentralSeriesOp"]},{"name" : "ComputedPCentralSeriess","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedPCentralSeriess: system getter","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedPCentralSeriess)"]]},{"rank" : 34,"comment" : "ComputedPCentralSeriess: default method","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedPCentralSeriess: default method requiring categories and checking properties","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedPCentralSeriess)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedPCentralSeriess): system mutable setter","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedPCentralSeriess): default method, does nothing","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedPCentralSeriess"]},{"name" : "Tester(ComputedPCentralSeriess)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedPCentralSeriess"]},{"name" : "PCentralSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "PCentralSeries: pGroup","location" : {"line" : 2693,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [{"rank" : 53,"comment" : "PCentralSeries: default method","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PCentralSeries"]},{"name" : "HasPCentralSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasPCentralSeries: default method","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPCentralSeries"]},{"name" : "SetPCentralSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetPCentralSeries: default method","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPCentralSeries"]},{"name" : "PRumpOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 54,"comment" : "PRumpOp: generic method for group and prime","location" : {"line" : 2736,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PRumpOp"]},{"name" : "ComputedPRumps","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedPRumps: system getter","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedPRumps)"]]},{"rank" : 34,"comment" : "ComputedPRumps: default method","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedPRumps: default method requiring categories and checking properties","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedPRumps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedPRumps): system mutable setter","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedPRumps): default method, does nothing","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedPRumps"]},{"name" : "Tester(ComputedPRumps)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedPRumps"]},{"name" : "PRump","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "PRump: default method","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PRump"]},{"name" : "HasPRump","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasPRump: default method","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPRump"]},{"name" : "SetPRump","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetPRump: default method","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPRump"]},{"name" : "PCoreOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 389,"comment" : "PCoreOp: handled by nice monomorphism: subgroup CollOther","location" : {"line" : 738,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsInt","IsPosRat"]]},{"rank" : 77,"comment" : "PCoreOp: for a permutation group, and a positive integer","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/grpprmcs.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 73,"comment" : "PCoreOp: generic method for nilpotent group and prime","location" : {"line" : 2751,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"],["IsInt","IsPosRat"]]},{"rank" : 54,"comment" : "PCoreOp: generic method for group and prime","location" : {"line" : 2758,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PCoreOp"]},{"name" : "ComputedPCores","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedPCores: system getter","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedPCores)"]]},{"rank" : 34,"comment" : "ComputedPCores: default method","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedPCores: default method requiring categories and checking properties","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedPCores)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedPCores): system mutable setter","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedPCores): default method, does nothing","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedPCores"]},{"name" : "Tester(ComputedPCores)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedPCores"]},{"name" : "PCore","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "PCore: default method","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PCore"]},{"name" : "HasPCore","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasPCore: default method","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPCore"]},{"name" : "SetPCore","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetPCore: default method","location" : {"line" : 3151,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPCore"]},{"name" : "SubnormalSeriesOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "SubnormalSeriesOp: handled by nice monomorphism: GroupSeries CollColl","location" : {"line" : 837,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 70,"comment" : "SubnormalSeriesOp: generic method for two groups","location" : {"line" : 2798,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubnormalSeriesOp"]},{"name" : "SubnormalSeriesInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SubnormalSeriesInParent: system getter","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(SubnormalSeriesInParent)"]]},{"rank" : 35,"comment" : "SubnormalSeriesInParent: method that calls the two-argument operation SubnormalSeriesOp","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SubnormalSeriesInParent: default method requiring categories and checking properties","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SubnormalSeriesInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SubnormalSeriesInParent): system setter","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SubnormalSeriesInParent): default method, does nothing","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubnormalSeriesInParent"]},{"name" : "Tester(SubnormalSeriesInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubnormalSeriesInParent"]},{"name" : "SubnormalSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "SubnormalSeries: try to exploit the in-parent attribute SubnormalSeriesInParent","location" : {"line" : 3175,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubnormalSeries"]},{"name" : "SylowSubgroupOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 416,"comment" : "SylowSubgroupOp: Direct construction for natural GL","location" : {"line" : 553,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNaturalGL","Tester(IsNaturalGL)"],["IsInt","IsPosRat"]]},{"rank" : 389,"comment" : "SylowSubgroupOp: handled by nice monomorphism: subgroup CollOther","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsInt","IsPosRat"]]},{"rank" : 171,"comment" : "SylowSubgroupOp: pcgs computable groups using special pcgs","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsInt","IsPosRat"]]},{"rank" : 81,"comment" : "SylowSubgroupOp: symmetric","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsInt","IsPosRat"]]},{"rank" : 81,"comment" : "SylowSubgroupOp: alternating","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsInt","IsPosRat"]]},{"rank" : 77,"comment" : "SylowSubgroupOp: permutation groups","location" : {"line" : 1428,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 73,"comment" : "SylowSubgroupOp: method for a nilpotent group, and a prime","location" : {"line" : 2885,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"],["IsInt","IsPosRat"]]},{"rank" : 54,"comment" : "SylowSubgroupOp: generic method for group and prime","location" : {"line" : 2853,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "SylowSubgroupOp:  fallback method to test conditions","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SylowSubgroupOp"]},{"name" : "ComputedSylowSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedSylowSubgroups: system getter","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedSylowSubgroups)"]]},{"rank" : 34,"comment" : "ComputedSylowSubgroups: default method","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedSylowSubgroups: default method requiring categories and checking properties","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedSylowSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedSylowSubgroups): system mutable setter","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedSylowSubgroups): default method, does nothing","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedSylowSubgroups"]},{"name" : "Tester(ComputedSylowSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedSylowSubgroups"]},{"name" : "SylowSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "SylowSubgroup: default method","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SylowSubgroup"]},{"name" : "HasSylowSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasSylowSubgroup: default method","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSylowSubgroup"]},{"name" : "SetSylowSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetSylowSubgroup: default method","location" : {"line" : 3201,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSylowSubgroup"]},{"name" : "SylowComplementOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10065,"comment" : "SylowComplementOp: test trivial case","location" : {"line" : 3091,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 151,"comment" : "SylowComplementOp: pcgs computable groups using special pcgs","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsInt","IsPosRat"]]},{"rank" : 67,"comment" : "SylowComplementOp: via IsomoprhismPcGroup","location" : {"line" : 2818,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"],["IsInt","IsPosRat"]]},{"rank" : 1,"comment" : "SylowComplementOp:  fallback method to test conditions","location" : {"line" : 2827,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "SylowComplementOp:  fallback method to test conditions","location" : {"line" : 290,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SylowComplementOp"]},{"name" : "ComputedSylowComplements","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedSylowComplements: system getter","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedSylowComplements)"]]},{"rank" : 34,"comment" : "ComputedSylowComplements: default method","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedSylowComplements: default method requiring categories and checking properties","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedSylowComplements)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedSylowComplements): system mutable setter","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedSylowComplements): default method, does nothing","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedSylowComplements"]},{"name" : "Tester(ComputedSylowComplements)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedSylowComplements"]},{"name" : "SylowComplement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "SylowComplement: default method","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SylowComplement"]},{"name" : "HasSylowComplement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 53,"comment" : "HasSylowComplement: default method","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSylowComplement"]},{"name" : "SetSylowComplement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "SetSylowComplement: default method","location" : {"line" : 3228,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSylowComplement"]},{"name" : "HallSubgroupOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10048,"comment" : "HallSubgroupOp: test trivial cases","location" : {"line" : 2917,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 372,"comment" : "HallSubgroupOp: via niceomorphism","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsList"]]},{"rank" : 56,"comment" : "HallSubgroupOp: method for a nilpotent group","location" : {"line" : 2938,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsNilpotentGroup","Tester(IsNilpotentGroup)"],["IsList"]]},{"rank" : 54,"comment" : "HallSubgroupOp: pcgs computable groups using special pcgs","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsList"]]},{"rank" : 50,"comment" : "HallSubgroupOp: via IsomoprhismPcGroup","location" : {"line" : 2797,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"],["IsList"]]},{"rank" : 47,"comment" : "HallSubgroupOp: fitting free","location" : {"line" : 1356,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanComputeFittingFree"],["IsList"]]},{"rank" : 1,"comment" : "HallSubgroupOp:  fallback method to test conditions","location" : {"line" : 2805,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 0,"comment" : "HallSubgroupOp:  fallback method to test conditions","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HallSubgroupOp"]},{"name" : "ComputedHallSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedHallSubgroups: system getter","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedHallSubgroups)"]]},{"rank" : 34,"comment" : "ComputedHallSubgroups: default method","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedHallSubgroups: default method requiring categories and checking properties","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedHallSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedHallSubgroups): system mutable setter","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedHallSubgroups): default method, does nothing","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedHallSubgroups"]},{"name" : "Tester(ComputedHallSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedHallSubgroups"]},{"name" : "HallSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "HallSubgroup: default method","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HallSubgroup"]},{"name" : "HasHallSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "HasHallSubgroup: default method","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasHallSubgroup"]},{"name" : "SetHallSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[]]],"locations" : [{"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 36,"comment" : "SetHallSubgroup: default method","location" : {"line" : 3273,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHallSubgroup"]},{"name" : "NormalHallSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NormalHallSubgroups: system getter","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalHallSubgroups)"]]},{"rank" : 47,"comment" : "NormalHallSubgroups: by normal closure of Sylow subgroups","location" : {"line" : 3063,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanComputeSizeAnySubgroup"]]},{"rank" : 0,"comment" : "NormalHallSubgroups: default method requiring categories and checking properties","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalHallSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalHallSubgroups): system setter","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalHallSubgroups): default method, does nothing","location" : {"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalHallSubgroups"]},{"name" : "Tester(NormalHallSubgroups)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3312,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalHallSubgroups"]},{"name" : "NrConjugacyClassesInSupergroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3326,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 740,"comment" : "NrConjugacyClassesInSupergroup: handled by nice monomorphism: attribute CollColl","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 70,"comment" : "NrConjugacyClassesInSupergroup: generic method for two groups","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NrConjugacyClassesInSupergroup"]},{"name" : "Factorization","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 3369,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "Factorization: generic method","location" : {"line" : 5395,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]],"aka" : ["GenericFactorizationGroup"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Factorization"]},{"name" : "GrowthFunctionOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 3412,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "GrowthFunctionOfGroup: system getter","location" : {"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(GrowthFunctionOfGroup)"]]},{"rank" : 45,"comment" : "GrowthFunctionOfGroup: finite groups","location" : {"line" : 5403,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GrowthFunctionOfGroup: default method requiring categories and checking properties","location" : {"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 55,"comment" : "GrowthFunctionOfGroup: groups and orders","location" : {"line" : 5443,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GrowthFunctionOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GrowthFunctionOfGroup): system setter","location" : {"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GrowthFunctionOfGroup): default method, does nothing","location" : {"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGrowthFunctionOfGroup"]},{"name" : "Tester(GrowthFunctionOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3410,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGrowthFunctionOfGroup"]},{"name" : "GroupByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]],[["IsCollection"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 3437,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 3439,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "GroupByGenerators: delegate to `GroupWithGenerators'","location" : {"line" : 4141,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection"]],"aka" : ["GroupWithGenerators"]}],"2args" : [{"rank" : 22,"comment" : "GroupByGenerators: delegate to `GroupWithGenerators'","location" : {"line" : 4141,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 7,"comment" : "GroupByGenerators: delegate to `GroupWithGenerators'","location" : {"line" : 4141,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupByGenerators"]},{"name" : "GroupWithGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]],[["IsCollection"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 3461,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},{"line" : 3463,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 25,"comment" : "GroupWithGenerators: method for pc elements collection","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsCollection","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 19,"comment" : "GroupWithGenerators: list of matrices","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 4,"comment" : "GroupWithGenerators: for a homogeneous list (of class functions)","location" : {"line" : 4800,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"]]},{"rank" : 2,"comment" : "GroupWithGenerators: generic method for collection","location" : {"line" : 4076,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 48,"comment" : "GroupWithGenerators: for empty list and trivial character","location" : {"line" : 4850,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsClassFunction"]]},{"rank" : 47,"comment" : "GroupWithGenerators: list of matrices with identity","location" : {"line" : 872,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"],["IsMultiplicativeElementWithInverse","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 35,"comment" : "GroupWithGenerators: for list (of class functions) and class function","location" : {"line" : 4829,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsClassFunction"]]},{"rank" : 35,"comment" : "GroupWithGenerators: method for empty pc collection and identity element","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsMultiplicativeElementWithInverseByPolycyclicCollector"]]},{"rank" : 23,"comment" : "GroupWithGenerators: method for pc collection and identity element","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsCollection","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMultiplicativeElementWithInverseByPolycyclicCollector"]]},{"rank" : 22,"comment" : "GroupWithGenerators: method for empty list and element","location" : {"line" : 4130,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 7,"comment" : "GroupWithGenerators: generic method for collection and identity element","location" : {"line" : 4107,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsCollection"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ElementTestFunction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ElementTestFunction: system getter","location" : {"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ElementTestFunction)"]]},{"rank" : 0,"comment" : "ElementTestFunction: default method requiring categories and checking properties","location" : {"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ElementTestFunction)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ElementTestFunction): system setter","location" : {"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ElementTestFunction): default method, does nothing","location" : {"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetElementTestFunction"]},{"name" : "Tester(ElementTestFunction)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3574,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasElementTestFunction"]},{"name" : "RightTransversalOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 206,"comment" : "RightTransversalOp: for trivial subgroup, call `EnumeratorSorted' for the big group","location" : {"line" : 1144,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsTrivial","Tester(IsTrivial)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "RightTransversalOp: for two perm. groups","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 81,"comment" : "RightTransversalOp: pc groups","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["DoRightTransversalPc"]},{"rank" : 76,"comment" : "RightTransversalOp: pc groups","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["Tester(Pcgs)","CanEasilyComputePcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 74,"comment" : "RightTransversalOp: via coset table","location" : {"line" : 5193,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "RightTransversalOp: generic, use RightCosets","location" : {"line" : 1089,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightTransversalOp"]},{"name" : "RightTransversalInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RightTransversalInParent: system getter","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightTransversalInParent)"]]},{"rank" : 35,"comment" : "RightTransversalInParent: method that calls the two-argument operation RightTransversalOp","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RightTransversalInParent: default method requiring categories and checking properties","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightTransversalInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightTransversalInParent): system setter","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightTransversalInParent): default method, does nothing","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightTransversalInParent"]},{"name" : "Tester(RightTransversalInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightTransversalInParent"]},{"name" : "RightTransversal","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "RightTransversal: try to exploit the in-parent attribute RightTransversalInParent","location" : {"line" : 3683,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightTransversal"]},{"name" : "IntermediateSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3709,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 74,"comment" : "IntermediateSubgroups: fp group via quotient subgroups","location" : {"line" : 4330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 71,"comment" : "IntermediateSubgroups: normal case","location" : {"line" : 2358,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "IntermediateSubgroups: blocks for coset operation","location" : {"line" : 2307,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IntermediateSubgroups"]},{"name" : "IsomorphismTypeInfoFiniteSimpleGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsInt","IsPosRat"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismTypeInfoFiniteSimpleGroup: system getter","location" : {"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismTypeInfoFiniteSimpleGroup)"]]},{"rank" : 35,"comment" : "IsomorphismTypeInfoFiniteSimpleGroup","location" : {"line" : 3839,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsomorphismTypeInfoFiniteSimpleGroup: [ IsOrdinaryTable ]","location" : {"line" : 1479,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 19,"comment" : "IsomorphismTypeInfoFiniteSimpleGroup","location" : {"line" : 3839,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsInt","IsPosRat"]]},{"rank" : 0,"comment" : "IsomorphismTypeInfoFiniteSimpleGroup: default method requiring categories and checking properties","location" : {"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismTypeInfoFiniteSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsInt","IsPosRat"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismTypeInfoFiniteSimpleGroup): system setter","location" : {"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismTypeInfoFiniteSimpleGroup): default method, does nothing","location" : {"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismTypeInfoFiniteSimpleGroup"]},{"name" : "Tester(IsomorphismTypeInfoFiniteSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3864,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismTypeInfoFiniteSimpleGroup"]},{"name" : "IsomorphismPcGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismPcGroup: system getter","location" : {"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismPcGroup)"]]},{"rank" : 379,"comment" : "IsomorphismPcGroup: via niceomorphisms","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 55,"comment" : "IsomorphismPcGroup","location" : {"line" : 1138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 48,"comment" : "IsomorphismPcGroup: for finitely presented groups that know their size","location" : {"line" : 4123,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSubgroupFpGroup"]]},{"rank" : 46,"comment" : "IsomorphismPcGroup","location" : {"line" : 685,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 44,"comment" : "IsomorphismPcGroup: via permutation representation","location" : {"line" : 1507,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPcGroup:  fallback method to test conditions","location" : {"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPcGroup:  fallback method to test conditions","location" : {"line" : 1513,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPcGroup: default method requiring categories and checking properties","location" : {"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismPcGroup): system setter","location" : {"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismPcGroup): default method, does nothing","location" : {"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismPcGroup"]},{"name" : "Tester(IsomorphismPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3963,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismPcGroup"]},{"name" : "IsomorphismSpecialPcGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismSpecialPcGroup: system getter","location" : {"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismSpecialPcGroup)"]]},{"rank" : 43,"comment" : "IsomorphismSpecialPcGroup: method for pc groups","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 35,"comment" : "IsomorphismSpecialPcGroup: generic method for groups","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismSpecialPcGroup: default method requiring categories and checking properties","location" : {"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismSpecialPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismSpecialPcGroup): system setter","location" : {"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismSpecialPcGroup): default method, does nothing","location" : {"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismSpecialPcGroup"]},{"name" : "Tester(IsomorphismSpecialPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 3984,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismSpecialPcGroup"]},{"name" : "IsomorphismPermGroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]],[["IsGreensHClass"]]],"locations" : [{"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismPermGroup: system getter","location" : {"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismPermGroup)"]]},{"rank" : 391,"comment" : "IsomorphismPermGroup: imf matrix groups","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsImfMatrixGroup"]],"aka" : ["IsomorphismPermGroupImfGroup"]},{"rank" : 136,"comment" : "IsomorphismPermGroup: perfect library groups","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.grp"},"filters" : [["IsPerfectLibraryGroup"]]},{"rank" : 82,"comment" : "IsomorphismPermGroup: for full finitely presented groups","location" : {"line" : 4072,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 81,"comment" : "IsomorphismPermGroup: for subgroups of finitely presented groups","location" : {"line" : 4093,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSubgroupFpGroup"]]},{"rank" : 58,"comment" : "IsomorphismPermGroup: cyclotomic matrix group","location" : {"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 57,"comment" : "IsomorphismPermGroup","location" : {"line" : 1442,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","CanEasilyComputeWithIndependentGensAbelianGroup"]]},{"rank" : 56,"comment" : "IsomorphismPermGroup: for finite nilpotent groups","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","KnowsHowToDecompose","Tester(KnowsHowToDecompose)","IsNilpotentGroup","Tester(IsNilpotentGroup)"]]},{"rank" : 55,"comment" : "IsomorphismPermGroup: matrix group","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 55,"comment" : "IsomorphismPermGroup: perm groups","location" : {"line" : 1899,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 51,"comment" : "IsomorphismPermGroup: via niceomorphisms","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 44,"comment" : "IsomorphismPermGroup: right regular operation","location" : {"line" : 1376,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "IsomorphismPermGroup: for a group H-class of a semigroup","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsGreensHClass"]]},{"rank" : 2,"comment" : "IsomorphismPermGroup: for family of fp words","location" : {"line" : 4100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"]]},{"rank" : 0,"comment" : "IsomorphismPermGroup:  fallback method to test conditions","location" : {"line" : 1382,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPermGroup: default method requiring categories and checking properties","location" : {"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismPermGroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]],[["IsGreensHClass"],[]]],"locations" : [{"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismPermGroup): system setter","location" : {"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismPermGroup): default method, does nothing","location" : {"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismPermGroup"]},{"name" : "Tester(IsomorphismPermGroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 4015,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismPermGroup"]},{"name" : "IsomorphismFpGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismFpGroup: system getter","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismFpGroup)"]]},{"rank" : 136,"comment" : "IsomorphismFpGroup: perfect library groups","location" : {"line" : 741,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.grp"},"filters" : [["IsPerfectLibraryGroup"]]},{"rank" : 72,"comment" : "IsomorphismFpGroup: alternating group","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "IsomorphismFpGroup: symmetric group","location" : {"line" : 1663,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 35,"comment" : "IsomorphismFpGroup: supply name","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismFpGroup: default method requiring categories and checking properties","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 375,"comment" : "IsomorphismFpGroup: via niceomorphism","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsString"]]},{"rank" : 77,"comment" : "IsomorphismFpGroup: alternating group,name","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsString"]]},{"rank" : 70,"comment" : "IsomorphismFpGroup: for simple solvable permutation groups","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)","IsSolvableGroup","Tester(IsSolvableGroup)"],["IsString"]]},{"rank" : 67,"comment" : "IsomorphismFpGroup: symmetric group,name","location" : {"line" : 1716,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsString"]]},{"rank" : 65,"comment" : "IsomorphismFpGroup: for simple permutation groups","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSimpleGroup","Tester(IsSimpleGroup)"],["IsString"]]},{"rank" : 63,"comment" : "IsomorphismFpGroup: for perm groups","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]},{"rank" : 45,"comment" : "IsomorphismFpGroup: pc groups","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsString"]]},{"rank" : 42,"comment" : "IsomorphismFpGroup: subgroups of fp group","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismFpGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismFpGroup): system setter","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismFpGroup): default method, does nothing","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismFpGroup"]},{"name" : "Tester(IsomorphismFpGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismFpGroup"]},{"name" : "IsomorphismFpGroupByGeneratorsNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsString"]]],"locations" : [{"line" : 4204,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 377,"comment" : "IsomorphismFpGroupByGeneratorsNC: via niceomorphism\/w. gens","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsList"],["IsString"]]},{"rank" : 65,"comment" : "IsomorphismFpGroupByGeneratorsNC: for perm groups","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsString"]]},{"rank" : 61,"comment" : "IsomorphismFpGroupByGeneratorsNC: pcgs","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPcgs"],["IsString"]]},{"rank" : 54,"comment" : "IsomorphismFpGroupByGeneratorsNC: subgroups of fp group","location" : {"line" : 865,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsList","CategoryCollections(IsMultiplicativeElementWithInverse)"],["IsString"]]},{"rank" : 42,"comment" : "IsomorphismFpGroupByGeneratorsNC: via cokernel","location" : {"line" : 744,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsomorphismFpGroupByGeneratorsNC"]},{"name" : "IsomorphismFpGroupBySubnormalSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsString"]]],"locations" : [{"line" : 4207,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 60,"comment" : "IsomorphismFpGroupBySubnormalSeries: for groups","location" : {"line" : 857,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [{"rank" : 65,"comment" : "IsomorphismFpGroupBySubnormalSeries: for groups","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsomorphismFpGroupBySubnormalSeries"]},{"name" : "IsomorphismFpGroupByCompositionSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]],"locations" : [{"line" : 4210,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsomorphismFpGroupByCompositionSeries: supply name","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [{"rank" : 63,"comment" : "IsomorphismFpGroupByCompositionSeries: for permutation groups","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]},{"rank" : 45,"comment" : "IsomorphismFpGroupByCompositionSeries: pc groups","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcfp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsomorphismFpGroupByCompositionSeries"]},{"name" : "IsomorphismFpGroupByChiefSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]],"locations" : [{"line" : 4213,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsomorphismFpGroupByChiefSeries: supply name","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [{"rank" : 63,"comment" : "IsomorphismFpGroupByChiefSeries: permgrp","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/gpfpiso.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsomorphismFpGroupByChiefSeries"]},{"name" : "PrimePowerComponents","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "PrimePowerComponents: system getter","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimePowerComponents)"]]},{"rank" : 4,"comment" : "PrimePowerComponents: method for a pc element","location" : {"line" : 1455,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsMultiplicativeElementWithOne"]]},{"rank" : 3,"comment" : "PrimePowerComponents: generic method","location" : {"line" : 4349,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMultiplicativeElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimePowerComponents)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],[]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimePowerComponents): system setter","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimePowerComponents): default method, does nothing","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimePowerComponents"]},{"name" : "Tester(PrimePowerComponents)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimePowerComponents"]},{"name" : "PrimePowerComponent","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 4244,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "PrimePowerComponent: generic method","location" : {"line" : 4374,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMultiplicativeElement"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrimePowerComponent"]},{"name" : "PowerMapOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsHomogeneousList"]]],"locations" : [{"line" : 4262,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 392,"comment" : "PowerMapOfGroup: via niceomorphism","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 77,"comment" : "PowerMapOfGroup: method for a permutation group","location" : {"line" : 4807,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 67,"comment" : "PowerMapOfGroup: method for a matrix group","location" : {"line" : 4821,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsHomogeneousList"]]},{"rank" : 57,"comment" : "PowerMapOfGroup: method for a group","location" : {"line" : 4793,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PowerMapOfGroup"]},{"name" : "LowIndexSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 4416,"file" : "\/home\/makx\/ac\/gap\/lib\/grp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 100,"comment" : "LowIndexSubgroups: FpFroups, using LowIndexSubgroupsFpGroup","location" : {"line" : 3107,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],"aka" : ["LowIndexSubgroupsFpGroup"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LowIndexSubgroups"]},{"name" : "IsInverseSubsemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "IsInverseSubsemigroup: for a semigroup and a semigroup","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsInverseSubsemigroup"]},{"name" : "IsGeneratorsOfInverseSemigroup","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsGeneratorsOfInverseSemigroup: system getter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGeneratorsOfInverseSemigroup)"]]},{"rank" : 13,"comment" : "IsGeneratorsOfInverseSemigroup: for a transformation collection","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 13,"comment" : "IsGeneratorsOfInverseSemigroup: for a transformation collection","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGeneratorsOfInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"],["IsBool"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGeneratorsOfInverseSemigroup): system setter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGeneratorsOfInverseSemigroup): default method, does nothing","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGeneratorsOfInverseSemigroup"]},{"name" : "Tester(IsGeneratorsOfInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GeneratorsOfInverseMonoid","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "GeneratorsOfInverseMonoid: system getter","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfInverseMonoid)"]]},{"rank" : 36,"comment" : "GeneratorsOfInverseMonoid: for a group with known generators","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 34,"comment" : "GeneratorsOfInverseMonoid: for an inverse partial perm monoid with generators","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 0,"comment" : "GeneratorsOfInverseMonoid: default method requiring categories and checking properties","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfInverseMonoid)","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"],[]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfInverseMonoid): system setter","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfInverseMonoid): default method, does nothing","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfInverseMonoid"]},{"name" : "Tester(GeneratorsOfInverseMonoid)","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfInverseMonoid"]},{"name" : "GeneratorsOfInverseSemigroup","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "GeneratorsOfInverseSemigroup: system getter","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfInverseSemigroup)"]]},{"rank" : 36,"comment" : "GeneratorsOfInverseSemigroup: for a group with known generators","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "GeneratorsOfInverseSemigroup: for an inverse partial perm semigroup with generators","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 0,"comment" : "GeneratorsOfInverseSemigroup: default method requiring categories and checking properties","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"],[]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfInverseSemigroup): system setter","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfInverseSemigroup): default method, does nothing","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfInverseSemigroup"]},{"name" : "Tester(GeneratorsOfInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfInverseSemigroup"]},{"name" : "InverseMonoidByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "InverseMonoidByGenerators","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseMonoidByGenerators"]},{"name" : "InverseSemigroupByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "InverseSemigroupByGenerators: for a collection","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseSemigroupByGenerators"]},{"name" : "InverseSubsemigroup","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "InverseSubsemigroup: for an inverse semigroup and collection","location" : {"line" : 311,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseSubsemigroup"]},{"name" : "InverseSubsemigroupNC","type" : "GAP_Operation","filters" : [[["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "InverseSubsemigroupNC: for an inverse semigroup and collection","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseSubsemigroupNC"]},{"name" : "InverseSubmonoid","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "InverseSubmonoid: for an inverse monoid and collection","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseSubmonoid"]},{"name" : "InverseSubmonoidNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]],"locations" : [{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "InverseSubmonoidNC: for an inverse monoid and collection","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseSubmonoidNC"]},{"name" : "AsInverseSemigroup","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsInverseSemigroup: system getter","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsInverseSemigroup)"]]},{"rank" : 121,"comment" : "AsInverseSemigroup: for an inverse semigroup","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsInverseSemigroup): system setter","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsInverseSemigroup): default method, does nothing","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsInverseSemigroup"]},{"name" : "Tester(AsInverseSemigroup)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsInverseSemigroup"]},{"name" : "AsInverseMonoid","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "AsInverseMonoid: system getter","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsInverseMonoid)"]]},{"rank" : 126,"comment" : "AsInverseMonoid: for an inverse monoid","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 126,"comment" : "AsInverseMonoid: for an inverse monoid","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 22,"comment" : "AsInverseMonoid: for an inverse semigroup with known generators","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gi"},"filters" : [["IsInverseSemigroup","Tester(IsInverseSemigroup)","Tester(GeneratorsOfInverseSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsInverseMonoid)","type" : "GAP_Operation","filters" : [[["IsCollection"],[]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsInverseMonoid): system setter","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsInverseMonoid): default method, does nothing","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsInverseMonoid"]},{"name" : "Tester(AsInverseMonoid)","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsInverseMonoid"]},{"name" : "AsInverseSubsemigroup","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsInverseSubsemigroup"]},{"name" : "AsInverseSubmonoid","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],["IsCollection"]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsInverseSubmonoid"]},{"name" : "ReverseNaturalPartialOrder","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "ReverseNaturalPartialOrder: system getter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ReverseNaturalPartialOrder)"]]},{"rank" : 29,"comment" : "ReverseNaturalPartialOrder: for an inverse partial perm semigroup","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 0,"comment" : "ReverseNaturalPartialOrder: default method requiring categories and checking properties","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ReverseNaturalPartialOrder)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ReverseNaturalPartialOrder): system setter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ReverseNaturalPartialOrder): default method, does nothing","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetReverseNaturalPartialOrder"]},{"name" : "Tester(ReverseNaturalPartialOrder)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasReverseNaturalPartialOrder"]},{"name" : "NaturalPartialOrder","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "NaturalPartialOrder: system getter","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NaturalPartialOrder)"]]},{"rank" : 29,"comment" : "NaturalPartialOrder: for an inverse partial perm semigroup","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 0,"comment" : "NaturalPartialOrder: default method requiring categories and checking properties","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NaturalPartialOrder)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NaturalPartialOrder): system setter","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NaturalPartialOrder): default method, does nothing","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNaturalPartialOrder"]},{"name" : "Tester(NaturalPartialOrder)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/invsgp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNaturalPartialOrder"]},{"name" : "IsAdditivelyCommutative","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "IsAdditivelyCommutative: system getter","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAdditivelyCommutative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAdditivelyCommutative)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"],["IsBool"]]],"locations" : [{"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAdditivelyCommutative): system setter","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAdditivelyCommutative): default method, does nothing","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAdditivelyCommutative"]},{"name" : "Tester(IsAdditivelyCommutative)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "NearAdditiveMagmaByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "NearAdditiveMagmaByGenerators: for collection","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "NearAdditiveMagmaByGenerators: for family and list","location" : {"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdditiveMagmaByGenerators","NearAdditiveMagmaByGenerators"]},{"name" : "NearAdditiveMagmaWithZeroByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "NearAdditiveMagmaWithZeroByGenerators: for collection","location" : {"line" : 401,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "NearAdditiveMagmaWithZeroByGenerators: for family and list","location" : {"line" : 421,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdditiveMagmaWithZeroByGenerators","NearAdditiveMagmaWithZeroByGenerators"]},{"name" : "NearAdditiveGroupByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "NearAdditiveGroupByGenerators: for collection","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 3,"comment" : "NearAdditiveGroupByGenerators: for family and list","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdditiveGroupByGenerators","AdditiveMagmaWithInversesByGenerators","NearAdditiveGroupByGenerators","NearAdditiveMagmaWithInversesByGenerators"]},{"name" : "GeneratorsOfNearAdditiveMagma","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "GeneratorsOfNearAdditiveMagma: system getter","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfNearAdditiveMagma)"]]},{"rank" : 17,"comment" : "GeneratorsOfNearAdditiveMagma","location" : {"line" : 496,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 15,"comment" : "GeneratorsOfNearAdditiveMagma","location" : {"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfNearAdditiveMagma)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"],[]]],"locations" : [{"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfNearAdditiveMagma): system setter","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfNearAdditiveMagma): default method, does nothing","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAdditiveMagma","SetGeneratorsOfNearAdditiveMagma"]},{"name" : "Tester(GeneratorsOfNearAdditiveMagma)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAdditiveMagma","HasGeneratorsOfNearAdditiveMagma"]},{"name" : "GeneratorsOfNearAdditiveMagmaWithZero","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "GeneratorsOfNearAdditiveMagmaWithZero: system getter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]},{"rank" : 17,"comment" : "GeneratorsOfNearAdditiveMagmaWithZero","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 17,"comment" : "GeneratorsOfNearAdditiveMagmaWithZero","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsAttributeStoringRep","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfNearAdditiveMagmaWithZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"],[]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfNearAdditiveMagmaWithZero): system setter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfNearAdditiveMagmaWithZero): default method, does nothing","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAdditiveMagmaWithZero","SetGeneratorsOfNearAdditiveMagmaWithZero"]},{"name" : "Tester(GeneratorsOfNearAdditiveMagmaWithZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAdditiveMagmaWithZero","HasGeneratorsOfNearAdditiveMagmaWithZero"]},{"name" : "GeneratorsOfNearAdditiveGroup","type" : "GAP_Operation","filters" : [[["IsNearAdditiveGroup"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "GeneratorsOfNearAdditiveGroup: system getter","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfNearAdditiveGroup)"]]},{"rank" : 19,"comment" : "GeneratorsOfNearAdditiveGroup","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsAttributeStoringRep","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfNearAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveGroup"],[]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfNearAdditiveGroup): system setter","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfNearAdditiveGroup): default method, does nothing","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAdditiveGroup","SetGeneratorsOfAdditiveMagmaWithInverses","SetGeneratorsOfNearAdditiveGroup","SetGeneratorsOfNearAdditiveMagmaWithInverses"]},{"name" : "Tester(GeneratorsOfNearAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveGroup"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAdditiveGroup","HasGeneratorsOfAdditiveMagmaWithInverses","HasGeneratorsOfNearAdditiveGroup","HasGeneratorsOfNearAdditiveMagmaWithInverses"]},{"name" : "TrivialSubnearAdditiveMagmaWithZero","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"]]],"locations" : [{"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "TrivialSubnearAdditiveMagmaWithZero: system getter","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(TrivialSubnearAdditiveMagmaWithZero)"]]},{"rank" : 34,"comment" : "TrivialSubnearAdditiveMagmaWithZero: for a FLMLOR","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 22,"comment" : "TrivialSubnearAdditiveMagmaWithZero: generic method for left modules","location" : {"line" : 382,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 14,"comment" : "TrivialSubnearAdditiveMagmaWithZero: for add.-magma-with-zero","location" : {"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TrivialSubnearAdditiveMagmaWithZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"],[]]],"locations" : [{"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TrivialSubnearAdditiveMagmaWithZero): system setter","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TrivialSubnearAdditiveMagmaWithZero): default method, does nothing","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTrivialSubFLMLOR","SetTrivialSubadditiveMagmaWithZero","SetTrivialSubalgebra","SetTrivialSubmodule","SetTrivialSubnearAdditiveMagmaWithZero","SetTrivialSubspace"]},{"name" : "Tester(TrivialSubnearAdditiveMagmaWithZero)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagmaWithZero"]]],"locations" : [{"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTrivialSubFLMLOR","HasTrivialSubadditiveMagmaWithZero","HasTrivialSubalgebra","HasTrivialSubmodule","HasTrivialSubnearAdditiveMagmaWithZero","HasTrivialSubspace"]},{"name" : "AdditiveNeutralElement","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "AdditiveNeutralElement: system getter","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdditiveNeutralElement)"]]},{"rank" : 12,"comment" : "AdditiveNeutralElement","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdditiveNeutralElement)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"],[]]],"locations" : [{"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdditiveNeutralElement): system setter","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdditiveNeutralElement): default method, does nothing","location" : {"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdditiveNeutralElement"]},{"name" : "Tester(AdditiveNeutralElement)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma"]]],"locations" : [{"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdditiveNeutralElement"]},{"name" : "ClosureNearAdditiveGroup","type" : "GAP_Operation","filters" : [[["IsNearAdditiveGroup"],["IsNearAdditiveElement"]]],"locations" : [{"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "ClosureNearAdditiveGroup: for two add. groups","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 19,"comment" : "ClosureNearAdditiveGroup: for add. group and element","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/addmagma.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsAdditiveElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureAdditiveGroup","ClosureAdditiveMagmaWithInverses","ClosureNearAdditiveGroup","ClosureNearAdditiveMagmaWithInverses"]},{"name" : "AdditiveCoset","type" : "GAP_Operation","filters" : [[["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsAdditiveElement"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "AdditiveCoset: for additive group and additive element","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/addcoset.gi"},"filters" : [["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsAdditiveElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdditiveCoset"]},{"name" : "IsLDistributive","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsLDistributive: system getter","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLDistributive)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLDistributive)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsBool"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLDistributive): system setter","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLDistributive): default method, does nothing","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLDistributive"]},{"name" : "Tester(IsLDistributive)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRDistributive","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsRDistributive: system getter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRDistributive)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRDistributive)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsBool"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRDistributive): system setter","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRDistributive): default method, does nothing","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRDistributive"]},{"name" : "Tester(IsRDistributive)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GeneratorsOfSemiring","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "GeneratorsOfSemiring: system getter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfSemiring)"]]},{"rank" : -5,"comment" : "GeneratorsOfSemiring: default method requiring categories and checking properties","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfSemiring)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfSemiring): system setter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfSemiring): default method, does nothing","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfSemiring"]},{"name" : "Tester(GeneratorsOfSemiring)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfSemiring"]},{"name" : "GeneratorsOfSemiringWithOne","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratorsOfSemiringWithOne: system getter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfSemiringWithOne)"]]},{"rank" : -5,"comment" : "GeneratorsOfSemiringWithOne: default method requiring categories and checking properties","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsMagmaWithOne","IsNearAdditiveMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfSemiringWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfSemiringWithOne): system setter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfSemiringWithOne): default method, does nothing","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfSemiringWithOne"]},{"name" : "Tester(GeneratorsOfSemiringWithOne)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfSemiringWithOne"]},{"name" : "GeneratorsOfSemiringWithZero","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20028,"comment" : "GeneratorsOfSemiringWithZero: system getter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfSemiringWithZero)"]]},{"rank" : -14,"comment" : "GeneratorsOfSemiringWithZero: default method requiring categories and checking properties","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfSemiringWithZero)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfSemiringWithZero): system setter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfSemiringWithZero): default method, does nothing","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfSemiringWithZero"]},{"name" : "Tester(GeneratorsOfSemiringWithZero)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfSemiringWithZero"]},{"name" : "GeneratorsOfSemiringWithOneAndZero","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20030,"comment" : "GeneratorsOfSemiringWithOneAndZero: system getter","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfSemiringWithOneAndZero)"]]},{"rank" : -14,"comment" : "GeneratorsOfSemiringWithOneAndZero: default method requiring categories and checking properties","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfSemiringWithOneAndZero)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfSemiringWithOneAndZero): system setter","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfSemiringWithOneAndZero): default method, does nothing","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfSemiringWithOneAndZero"]},{"name" : "Tester(GeneratorsOfSemiringWithOneAndZero)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfSemiringWithOneAndZero"]},{"name" : "AsSemiring","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsSemiring: system getter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSemiring)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSemiring)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSemiring): system setter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSemiring): default method, does nothing","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSemiring"]},{"name" : "Tester(AsSemiring)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSemiring"]},{"name" : "AsSemiringWithOne","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsSemiringWithOne: system getter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSemiringWithOne)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSemiringWithOne)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSemiringWithOne): system setter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSemiringWithOne): default method, does nothing","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSemiringWithOne"]},{"name" : "Tester(AsSemiringWithOne)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSemiringWithOne"]},{"name" : "AsSemiringWithZero","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsSemiringWithZero: system getter","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSemiringWithZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSemiringWithZero)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSemiringWithZero): system setter","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSemiringWithZero): default method, does nothing","location" : {"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSemiringWithZero"]},{"name" : "Tester(AsSemiringWithZero)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 295,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSemiringWithZero"]},{"name" : "AsSemiringWithOneAndZero","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsSemiringWithOneAndZero: system getter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSemiringWithOneAndZero)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSemiringWithOneAndZero)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSemiringWithOneAndZero): system setter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSemiringWithOneAndZero): default method, does nothing","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSemiringWithOneAndZero"]},{"name" : "Tester(AsSemiringWithOneAndZero)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSemiringWithOneAndZero"]},{"name" : "ClosureSemiring","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureSemiring"]},{"name" : "SemiringByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiringByGenerators"]},{"name" : "SemiringWithOneByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiringWithOneByGenerators"]},{"name" : "SemiringWithZeroByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 379,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiringWithZeroByGenerators"]},{"name" : "SemiringWithOneAndZeroByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiringWithOneAndZeroByGenerators"]},{"name" : "CentralIdempotentsOfSemiring","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "CentralIdempotentsOfSemiring: system getter","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentralIdempotentsOfSemiring)"]]},{"rank" : 36,"comment" : "CentralIdempotentsOfSemiring: for an associative algebra","location" : {"line" : 3678,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -5,"comment" : "CentralIdempotentsOfSemiring: default method requiring categories and checking properties","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentralIdempotentsOfSemiring)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentralIdempotentsOfSemiring): system setter","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentralIdempotentsOfSemiring): default method, does nothing","location" : {"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentralIdempotentsOfSemiring"]},{"name" : "Tester(CentralIdempotentsOfSemiring)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/semiring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentralIdempotentsOfSemiring"]},{"name" : "AsNearRing","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "AsNearRing: system getter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsNearRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsNearRing)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsNearRing): system setter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsNearRing): default method, does nothing","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsNearRing"]},{"name" : "Tester(AsNearRing)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsNearRing"]},{"name" : "AsRing","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsRing: system getter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsRing)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsRing): system setter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsRing): default method, does nothing","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsRing"]},{"name" : "Tester(AsRing)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsRing"]},{"name" : "GeneratorsOfRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratorsOfRing: system getter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfRing)"]]},{"rank" : 36,"comment" : "GeneratorsOfRing: for a free magma ring","location" : {"line" : 1127,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 30,"comment" : "GeneratorsOfRing: for a ring-with-one with generators","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 29,"comment" : "GeneratorsOfRing","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsAttributeStoringRep","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(GeneratorsOfNearAdditiveGroup)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 29,"comment" : "GeneratorsOfRing","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsAttributeStoringRep","IsMagma","Tester(GeneratorsOfMagma)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 27,"comment" : "GeneratorsOfRing: generic method for a two-sided ideal with known generators","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)"]],"aka" : ["GeneratorsOfRingForIdeal"]},{"rank" : 27,"comment" : "GeneratorsOfRing: generic method for a right ideal with known generators","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)"]]},{"rank" : 27,"comment" : "GeneratorsOfRing: generic method for a left ideal with known generators","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)"]]},{"rank" : 26,"comment" : "GeneratorsOfRing: for a ring","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "GeneratorsOfRing: default method requiring categories and checking properties","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfRing): system setter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfRing): default method, does nothing","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfRing"]},{"name" : "Tester(GeneratorsOfRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfRing"]},{"name" : "GeneratorsOfRingWithOne","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20031,"comment" : "GeneratorsOfRingWithOne: system getter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfRingWithOne)"]]},{"rank" : 39,"comment" : "GeneratorsOfRingWithOne: for a free magma ring-with-one","location" : {"line" : 1143,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagmaWithOne","IsFreeMagmaRing"]]},{"rank" : 32,"comment" : "GeneratorsOfRingWithOne","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsAttributeStoringRep","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]},{"rank" : 32,"comment" : "GeneratorsOfRingWithOne","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsAttributeStoringRep","IsMagma","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -25,"comment" : "GeneratorsOfRingWithOne: default method requiring categories and checking properties","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfRingWithOne)","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfRingWithOne): system setter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfRingWithOne): default method, does nothing","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfRingWithOne"]},{"name" : "Tester(GeneratorsOfRingWithOne)","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfRingWithOne"]},{"name" : "RingByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10022,"comment" : "RingByGenerators: method that catches the cases of `Integers' and subrings of `Integers'","location" : {"line" : 1381,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 29,"comment" : "RingByGenerators: for a list of Lie matrices over a finite field","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))","CategoryCollections(IsLieObject)"]]},{"rank" : 22,"comment" : "RingByGenerators: for a collection of FFE","location" : {"line" : 1083,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryCollections(IsFFE)"]],"aka" : ["RingFromFFE"]},{"rank" : 19,"comment" : "RingByGenerators: for a list of matrices over the Cyclotomics","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"]]},{"rank" : 19,"comment" : "RingByGenerators: for a list of matrices over a finite field","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 13,"comment" : "RingByGenerators: for a list of linear mappings of finite vector spaces","location" : {"line" : 1754,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)"]]},{"rank" : 2,"comment" : "RingByGenerators: for a collection","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RingByGenerators"]},{"name" : "DefaultRingByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10022,"comment" : "DefaultRingByGenerators: method that catches the cases of `(Gaussian)Integers' and cycl. fields","location" : {"line" : 1417,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 29,"comment" : "DefaultRingByGenerators: for a collection of FFE","location" : {"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsList","CategoryCollections(IsFFE)"]]},{"rank" : 29,"comment" : "DefaultRingByGenerators: for a list of Lie matrices","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))","CategoryCollections(IsLieObject)"]]},{"rank" : 21,"comment" : "DefaultRingByGenerators: for a collection over a ring Z\/nZ","location" : {"line" : 1161,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 21,"comment" : "DefaultRingByGenerators: for lists of n x n integer matrices","location" : {"line" : 1444,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"]]},{"rank" : 19,"comment" : "DefaultRingByGenerators: for a list of matrices over the Cyclotomics","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"]]},{"rank" : 19,"comment" : "DefaultRingByGenerators: for a list of matrices over a finite field","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 18,"comment" : "DefaultRingByGenerators","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["CategoryCollections(IsRationalFunction)"]]},{"rank" : 13,"comment" : "DefaultRingByGenerators: for a list of linear mappings of vector spaces","location" : {"line" : 1788,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)"]]},{"rank" : 2,"comment" : "DefaultRingByGenerators: for a collection","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DefaultRingByGenerators"]},{"name" : "RingWithOneByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10022,"comment" : "RingWithOneByGenerators: method that catches the cases of `Integers'","location" : {"line" : 1398,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 22,"comment" : "RingWithOneByGenerators: for a collection of FFE","location" : {"line" : 1088,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryCollections(IsFFE)"]]},{"rank" : 19,"comment" : "RingWithOneByGenerators: for a list of matrices over the Cyclotomics","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"]]},{"rank" : 19,"comment" : "RingWithOneByGenerators: for a list of matrices over a finite field","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 13,"comment" : "RingWithOneByGenerators: for a list of linear mappings of finite vector spaces","location" : {"line" : 1822,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)"]]},{"rank" : 2,"comment" : "RingWithOneByGenerators: for a collection","location" : {"line" : 488,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RingWithOneByGenerators"]},{"name" : "ClosureRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10036,"comment" : "ClosureRing: for a ring containing the whole family, and a ring element","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 10030,"comment" : "ClosureRing: for a ring cont. the whole family, and a collection","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]},{"rank" : 58,"comment" : "ClosureRing: for two rings-with-one","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 52,"comment" : "ClosureRing: for two rings","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 37,"comment" : "ClosureRing: for a ring-with-one and a ring element","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 34,"comment" : "ClosureRing: for a ring and a ring element","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 28,"comment" : "ClosureRing: for ring and collection of elements","location" : {"line" : 806,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureRing"]},{"name" : "IsAnticommutative","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsAnticommutative: system getter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAnticommutative)"]]},{"rank" : 34,"comment" : "IsAnticommutative: generic method for a (finite dimensional) FLMLOR","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 29,"comment" : "IsAnticommutative","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["Tester(Characteristic)","IsMagma","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 26,"comment" : "IsAnticommutative: generic method for rings","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsAnticommutative: default method requiring categories and checking properties","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAnticommutative)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAnticommutative): system setter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAnticommutative): default method, does nothing","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAnticommutative"]},{"name" : "Tester(IsAnticommutative)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsIntegralRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsIntegralRing: system getter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIntegralRing)"]]},{"rank" : 40,"comment" : "IsIntegralRing","location" : {"line" : 887,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 26,"comment" : "IsIntegralRing: for a ring","location" : {"line" : 700,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsIntegralRing: default method requiring categories and checking properties","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIntegralRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIntegralRing): system setter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIntegralRing): default method, does nothing","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIntegralRing"]},{"name" : "Tester(IsIntegralRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsJacobianRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsJacobianRing: system getter","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsJacobianRing)"]]},{"rank" : 34,"comment" : "IsJacobianRing: for a (finite dimensional) FLMLOR","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : -14,"comment" : "IsJacobianRing: default method requiring categories and checking properties","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsJacobianRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsJacobianRing): system setter","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsJacobianRing): default method, does nothing","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsJacobianRing"]},{"name" : "Tester(IsJacobianRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsZeroSquaredRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsZeroSquaredRing: system getter","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZeroSquaredRing)"]]},{"rank" : 34,"comment" : "IsZeroSquaredRing: for a finite dimensional FLMLOR","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 29,"comment" : "IsZeroSquaredRing","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["Tester(Characteristic)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsAnticommutative","Tester(IsAnticommutative)"]]},{"rank" : 26,"comment" : "IsZeroSquaredRing: for a ring","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsZeroSquaredRing: default method requiring categories and checking properties","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZeroSquaredRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZeroSquaredRing): system setter","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZeroSquaredRing): default method, does nothing","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZeroSquaredRing"]},{"name" : "Tester(IsZeroSquaredRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsZeroMultiplicationRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsZeroMultiplicationRing: system getter","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsZeroMultiplicationRing)"]]},{"rank" : 30,"comment" : "IsZeroMultiplicationRing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["Tester(IsTrivial)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsZeroMultiplicationRing: default method requiring categories and checking properties","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsZeroMultiplicationRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsZeroMultiplicationRing): system setter","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsZeroMultiplicationRing): default method, does nothing","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsZeroMultiplicationRing"]},{"name" : "Tester(IsZeroMultiplicationRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Units","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "Units: system getter","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep","Tester(Units)"]]},{"rank" : 73,"comment" : "Units: for a full matrix algebra (over a finite field)","location" : {"line" : 1453,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 58,"comment" : "Units: for a finite field","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 52,"comment" : "Units: for a division ring","location" : {"line" : 1049,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 42,"comment" : "Units: for full ring Z\/nZ","location" : {"line" : 922,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : 33,"comment" : "Units: zmodnze : for full ring Z\/nZ(m)","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZepsObj)"]]},{"rank" : 26,"comment" : "Units: for a (finite) ring","location" : {"line" : 902,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "Units: default method requiring categories and checking properties","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Units)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Units): system setter","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Units): default method, does nothing","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnits"]},{"name" : "Tester(Units)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnits"]},{"name" : "Factors","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "Factors: for a ring element","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "Factors:  fallback method to test conditions","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]}],"2args" : [{"rank" : 60,"comment" : "Factors: for a division ring and a ring element","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 58,"comment" : "Factors: for Gaussian integers","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"]]},{"rank" : 57,"comment" : "Factors: for integers","location" : {"line" : 1532,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 48,"comment" : "Factors: univariate rational polynomial","location" : {"line" : 1901,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsRationalsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 47,"comment" : "Factors: for a polynomial over a field of cyclotomics","location" : {"line" : 1947,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsAbelianNumberFieldPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 47,"comment" : "Factors: alg ext polynomial","location" : {"line" : 2133,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtensionPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 47,"comment" : "Factors: polynomial over a finite field","location" : {"line" : 372,"file" : "\/home\/makx\/ac\/gap\/lib\/polyfinf.gi"},"filters" : [["IsFiniteFieldPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 41,"comment" : "Factors: multivariate, reduce to univariate case","location" : {"line" : 1973,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 40,"comment" : "Factors: fallback error message","location" : {"line" : 1979,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "Factors:  fallback method to test conditions","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Factors"]},{"name" : "IsAssociated","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "IsAssociated: for two ring elements","location" : {"line" : 556,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 68,"comment" : "IsAssociated: for a division ring, and two ring elements","location" : {"line" : 1129,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 42,"comment" : "IsAssociated: for ring and two ring elements","location" : {"line" : 543,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsAssociated"]},{"name" : "Associates","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "Associates: for a ring element","location" : {"line" : 965,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 34,"comment" : "Associates: for a ring and a ring element","location" : {"line" : 973,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Associates"]},{"name" : "IsUnit","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 13,"comment" : "IsUnit: zmodnze : for element in Z\/nZ(m) (ZModnZepsRep) without given ring","location" : {"line" : 432,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 11,"comment" : "IsUnit: for a Lie object (return `false')","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsLieObject"]]},{"rank" : 8,"comment" : "IsUnit: for a ring element","location" : {"line" : 847,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 74,"comment" : "IsUnit: for matrix FLMLOR and matrix","location" : {"line" : 846,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 60,"comment" : "IsUnit: for a division ring, and a ring element","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 58,"comment" : "IsUnit: for element in Z\/nZ (ModulusRep)","location" : {"line" : 900,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"],["IsZmodnZObj","IsModulusRep"]]},{"rank" : 46,"comment" : "IsUnit: zmodnze : for element in Z\/nZ(m) (ZModnZepsRep) with given ring","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZepsObj)"],["IsZmodnZepsObj","IsZmodnZepsRep"]]},{"rank" : 36,"comment" : "IsUnit: for finite Rings","location" : {"line" : 900,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 35,"comment" : "IsUnit: for a ring with known units and a ring element","location" : {"line" : 855,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(Units)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 34,"comment" : "IsUnit: for a ring and a ring element","location" : {"line" : 872,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsUnit"]},{"name" : "InterpolatedPolynomial","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 26,"comment" : "InterpolatedPolynomial","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InterpolatedPolynomial"]},{"name" : "Quotient","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 938,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "Quotient: laurent","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 28,"comment" : "Quotient: multivar","location" : {"line" : 1151,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 16,"comment" : "Quotient: for two ring elements (delegate to three argument version","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "Quotient:  fallback method to test conditions","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"3args" : [{"rank" : 75,"comment" : "Quotient: for integers","location" : {"line" : 1680,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 74,"comment" : "Quotient: for Gaussian integers","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"],["IsCyc"]]},{"rank" : 68,"comment" : "Quotient: for a division ring, and two ring elements","location" : {"line" : 1020,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 61,"comment" : "Quotient: laurent, ring","location" : {"line" : 664,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 55,"comment" : "Quotient: multivar with ring","location" : {"line" : 1140,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 42,"comment" : "Quotient: for a ring and two ring elements","location" : {"line" : 835,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Quotient"]},{"name" : "StandardAssociate","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 970,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "StandardAssociate: for a ring element","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 10036,"comment" : "StandardAssociate: for a ring and its zero element","location" : {"line" : 922,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement","IsZero","Tester(IsZero)"]]},{"rank" : 62,"comment" : "StandardAssociate: for a division ring and a ring element","location" : {"line" : 1146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 57,"comment" : "StandardAssociate: for integers","location" : {"line" : 1799,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 34,"comment" : "StandardAssociate: for a ring and a ring element (using StandardAssociateUnit)","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StandardAssociate"]},{"name" : "StandardAssociateUnit","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "StandardAssociateUnit: for a ring element","location" : {"line" : 944,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 10036,"comment" : "StandardAssociateUnit: for a ring and its zero element","location" : {"line" : 953,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement","IsZero","Tester(IsZero)"]]},{"rank" : 62,"comment" : "StandardAssociateUnit: for a division ring and a ring element","location" : {"line" : 1163,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 58,"comment" : "StandardAssociateUnit: for Gaussian integers","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"]]},{"rank" : 57,"comment" : "StandardAssociateUnit: for integers","location" : {"line" : 1815,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 44,"comment" : "StandardAssociateUnit: laurent","location" : {"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 41,"comment" : "StandardAssociateUnit: for a polynomial ring and a polynomial","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StandardAssociateUnit"]},{"name" : "IsPrime","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "IsPrime: for a ring element","location" : {"line" : 984,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 62,"comment" : "IsPrime: for a division ring and a ring element","location" : {"line" : 1197,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 60,"comment" : "IsPrime: for Gaussian integers and integer","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsInt"]]},{"rank" : 58,"comment" : "IsPrime: for Gaussian integers and cyclotomic","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"]]},{"rank" : 57,"comment" : "IsPrime: for integers","location" : {"line" : 1571,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPrime"]},{"name" : "IsIrreducibleRingElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1063,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "IsIrreducibleRingElement: for a ring element","location" : {"line" : 995,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 62,"comment" : "IsIrreducibleRingElement: for a division ring and a ring element","location" : {"line" : 1180,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 57,"comment" : "IsIrreducibleRingElement: for integers","location" : {"line" : 1558,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 47,"comment" : "IsIrreducibleRingElement: AlgPol","location" : {"line" : 2172,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtensionPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 41,"comment" : "IsIrreducibleRingElement: polynomial","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "IsIrreducibleRingElement:  fallback method to test conditions","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIrreducibleRingElement"]},{"name" : "EuclideanDegree","type" : "GAP_Operation","filters" : [[["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1090,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "EuclideanDegree: univariate","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 17,"comment" : "EuclideanDegree: laurent","location" : {"line" : 929,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 8,"comment" : "EuclideanDegree: for a ring element","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 60,"comment" : "EuclideanDegree: for a division ring and a ring element","location" : {"line" : 1085,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 58,"comment" : "EuclideanDegree: for Gaussian integers","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"]]},{"rank" : 57,"comment" : "EuclideanDegree: for integers","location" : {"line" : 1493,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"]]},{"rank" : 46,"comment" : "EuclideanDegree: univariate,ring","location" : {"line" : 926,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 44,"comment" : "EuclideanDegree: laurent,ring","location" : {"line" : 935,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EuclideanDegree"]},{"name" : "EuclideanRemainder","type" : "GAP_Operation","filters" : [[["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1119,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "EuclideanRemainder: laurent","location" : {"line" : 964,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 16,"comment" : "EuclideanRemainder: for two ring elements","location" : {"line" : 1028,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "EuclideanRemainder:  fallback method to test conditions","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"3args" : [{"rank" : 75,"comment" : "EuclideanRemainder: for integers","location" : {"line" : 1519,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 74,"comment" : "EuclideanRemainder: for Gaussian integers","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"],["IsCyc"]]},{"rank" : 65,"comment" : "EuclideanRemainder: laurent,ring","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 47,"comment" : "EuclideanRemainder: for a Euclidean ring and two ring elements","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "EuclideanRemainder:  fallback method to test conditions","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EuclideanRemainder"]},{"name" : "EuclideanQuotient","type" : "GAP_Operation","filters" : [[["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1147,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "EuclideanQuotient: for two ring elements","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 75,"comment" : "EuclideanQuotient: for integers","location" : {"line" : 1506,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 74,"comment" : "EuclideanQuotient: for Gaussian integers","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"],["IsCyc"]]},{"rank" : 47,"comment" : "EuclideanQuotient: for a Euclidean ring and two ring elements","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EuclideanQuotient"]},{"name" : "QuotientRemainder","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1177,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "QuotientRemainder: laurent","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 16,"comment" : "QuotientRemainder: for two ring elements","location" : {"line" : 1067,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "QuotientRemainder:  fallback method to test conditions","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRationalFunction"],["IsRationalFunction"]]}],"3args" : [{"rank" : 75,"comment" : "QuotientRemainder: for integers","location" : {"line" : 1718,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 74,"comment" : "QuotientRemainder: for Gaussian integers","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"],["IsCyc"],["IsCyc"]]},{"rank" : 68,"comment" : "QuotientRemainder: for a division ring, and two ring elements","location" : {"line" : 1101,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 65,"comment" : "QuotientRemainder: laurent, ring","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "QuotientRemainder:  fallback method to test conditions","location" : {"line" : 639,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsRationalFunction"],["IsRationalFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["QuotientRemainder"]},{"name" : "QuotientMod","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1216,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 57,"comment" : "QuotientMod: laurent","location" : {"line" : 711,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["QUOMOD_UPOLY"]},{"rank" : 24,"comment" : "QuotientMod: for three ring elements","location" : {"line" : 1082,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "QuotientMod:  fallback method to test conditions","location" : {"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"4args" : [{"rank" : 93,"comment" : "QuotientMod: for integers","location" : {"line" : 1702,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"],["IsInt"]]},{"rank" : 83,"comment" : "QuotientMod: laurent,ring","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 55,"comment" : "QuotientMod: for a Euclidean ring and three ring elements","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "QuotientMod:  fallback method to test conditions","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"5args" : [],"6args" : []},"aka" : ["QuotientMod"]},{"name" : "PowerMod","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsInt"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1259,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 56,"comment" : "PowerMod: laurent","location" : {"line" : 778,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsInt"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["POWMOD_UPOLY"]},{"rank" : 34,"comment" : "PowerMod: for ring element, integer, and ring element","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsInt"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "PowerMod:  fallback method to test conditions","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsInt"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"4args" : [{"rank" : 93,"comment" : "PowerMod: for integers","location" : {"line" : 1662,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"],["IsInt"]]},{"rank" : 83,"comment" : "PowerMod: laurent,ring ","location" : {"line" : 771,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsInt"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 65,"comment" : "PowerMod: for Euclidean ring, ring element, integer, and ring element","location" : {"line" : 1162,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsInt"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "PowerMod:  fallback method to test conditions","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsInt"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"5args" : [],"6args" : []},"aka" : ["PowerMod"]},{"name" : "GcdOp","type" : "GAP_Operation","filters" : [[["IsUniqueFactorizationRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1327,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "GcdOp: univariate polynomials","location" : {"line" : 1023,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRationalFunction","IsPolynomial","Tester(IsPolynomial)"],["IsRationalFunction","IsPolynomial","Tester(IsPolynomial)"]],"aka" : ["GCD_UPOLY"]},{"rank" : 16,"comment" : "GcdOp: for two ring elements","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "GcdOp:  fallback method to test conditions","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRationalFunction"],["IsRationalFunction"]]}],"3args" : [{"rank" : 75,"comment" : "GcdOp: for integers","location" : {"line" : 1545,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 72,"comment" : "GcdOp: rational univariate polynomials","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsEuclideanRing","IsRationalsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 59,"comment" : "GcdOp: univariate polynomials, ring","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 57,"comment" : "GcdOp: Gcd(Polyring, Pol,Pol)","location" : {"line" : 1319,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsEuclideanRing"],["IsRationalFunction"],["IsRationalFunction"]]},{"rank" : 55,"comment" : "GcdOp: multivariate Gcd based on Groebner bases","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 47,"comment" : "GcdOp: for a Euclidean ring and two ring elements","location" : {"line" : 1260,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "GcdOp:  fallback method to test conditions","location" : {"line" : 1027,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsEuclideanRing"],["IsRationalFunction"],["IsRationalFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GcdOp"]},{"name" : "GcdRepresentationOp","type" : "GAP_Operation","filters" : [[["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1392,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "GcdRepresentationOp: for two ring elements","location" : {"line" : 1327,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 47,"comment" : "GcdRepresentationOp: for a Euclidean ring and two ring elements","location" : {"line" : 1349,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GcdRepresentationOp"]},{"name" : "LcmOp","type" : "GAP_Operation","filters" : [[["IsUniqueFactorizationRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 1456,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "LcmOp: for two ring elements","location" : {"line" : 1418,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 75,"comment" : "LcmOp: for integers","location" : {"line" : 1638,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"],["IsInt"],["IsInt"]]},{"rank" : 55,"comment" : "LcmOp: multivariate Lcm based on Groebner bases","location" : {"line" : 1194,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 43,"comment" : "LcmOp: for a Euclidean ring and two ring elements","location" : {"line" : 1434,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gi"},"filters" : [["IsUniqueFactorizationRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LcmOp"]},{"name" : "PadicValuation","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1474,"file" : "\/home\/makx\/ac\/gap\/lib\/ring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "PadicValuation: for rationals","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PadicValuation"]},{"name" : "IsGeneralizedCartanMatrix","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "IsGeneralizedCartanMatrix: system getter","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGeneralizedCartanMatrix)"]]},{"rank" : 30,"comment" : "IsGeneralizedCartanMatrix: for a matrix","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGeneralizedCartanMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsBool"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGeneralizedCartanMatrix): system setter","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGeneralizedCartanMatrix): default method, does nothing","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGeneralizedCartanMatrix"]},{"name" : "Tester(IsGeneralizedCartanMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsDiagonalMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "IsDiagonalMat: for a matrix","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "IsDiagonalMat: for a plist matrix","location" : {"line" : 1670,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 3,"comment" : "IsDiagonalMat","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsDiagonalMat"]},{"name" : "IsUpperTriangularMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 664,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "IsUpperTriangularMat: for a matrix","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "IsUpperTriangularMat: for a plist matrix","location" : {"line" : 1710,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsUpperTriangularMat"]},{"name" : "IsLowerTriangularMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "IsLowerTriangularMat: for a matrix","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "IsLowerTriangularMat: for a plist matrix","location" : {"line" : 1690,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLowerTriangularMat"]},{"name" : "BaseMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "BaseMat: system getter","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaseMat)"]]},{"rank" : 30,"comment" : "BaseMat: generic method for matrices","location" : {"line" : 1148,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaseMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaseMat): system setter","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaseMat): default method, does nothing","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaseMat"]},{"name" : "Tester(BaseMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaseMat"]},{"name" : "BaseMatDestructive","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "BaseMatDestructive: generic method for matrices","location" : {"line" : 1141,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BaseMatDestructive"]},{"name" : "BaseOrthogonalSpaceMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "BaseOrthogonalSpaceMat: system getter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaseOrthogonalSpaceMat)"]]},{"rank" : 30,"comment" : "BaseOrthogonalSpaceMat: for a matrix","location" : {"line" : 4045,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaseOrthogonalSpaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaseOrthogonalSpaceMat): system setter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaseOrthogonalSpaceMat): default method, does nothing","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaseOrthogonalSpaceMat"]},{"name" : "Tester(BaseOrthogonalSpaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaseOrthogonalSpaceMat"]},{"name" : "DefaultFieldOfMatrix","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "DefaultFieldOfMatrix: system getter","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(DefaultFieldOfMatrix)"]]},{"rank" : 55,"comment" : "DefaultFieldOfMatrix: method for a compressed matrix over GF(q)","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 55,"comment" : "DefaultFieldOfMatrix: method for a matrix over GF(2)","location" : {"line" : 1712,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]]},{"rank" : 42,"comment" : "DefaultFieldOfMatrix: method for a matrix over the cyclotomics","location" : {"line" : 1194,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 42,"comment" : "DefaultFieldOfMatrix: method for a matrix over a finite field","location" : {"line" : 1176,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 30,"comment" : "DefaultFieldOfMatrix: default method for a matrix (return `fail')","location" : {"line" : 1158,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DefaultFieldOfMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DefaultFieldOfMatrix): system setter","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DefaultFieldOfMatrix): default method, does nothing","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefaultFieldOfMatrix"]},{"name" : "Tester(DefaultFieldOfMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDefaultFieldOfMatrix"]},{"name" : "DepthOfUpperTriangularMatrix","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "DepthOfUpperTriangularMatrix: system getter","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(DepthOfUpperTriangularMatrix)"]]},{"rank" : 30,"comment" : "DepthOfUpperTriangularMatrix","location" : {"line" : 1218,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DepthOfUpperTriangularMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DepthOfUpperTriangularMatrix): system setter","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DepthOfUpperTriangularMatrix): default method, does nothing","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDepthOfUpperTriangularMatrix"]},{"name" : "Tester(DepthOfUpperTriangularMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 258,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDepthOfUpperTriangularMatrix"]},{"name" : "DeterminantMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "DeterminantMat: system getter","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(DeterminantMat)"]]},{"rank" : 30,"comment" : "DeterminantMat: for matrices","location" : {"line" : 1411,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DeterminantMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DeterminantMat): system setter","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DeterminantMat): default method, does nothing","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDeterminantMat"]},{"name" : "Tester(DeterminantMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDeterminantMat"]},{"name" : "DeterminantMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 66,"comment" : "DeterminantMatDestructive: kernel method for plain list of GF2 vectors","location" : {"line" : 2061,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["DETERMINANT_LIST_GF2VECS"]},{"rank" : 56,"comment" : "DeterminantMatDestructive: kernel method for plain list of GF2 vectors","location" : {"line" : 1018,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["DETERMINANT_LIST_VEC8BITS"]},{"rank" : 47,"comment" : "DeterminantMatDestructive: non fraction free","location" : {"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 46,"comment" : "DeterminantMatDestructive: nonprime residue rings","location" : {"line" : 1416,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]],"aka" : ["DeterminantMatDivFree"]},{"rank" : 34,"comment" : "DeterminantMatDestructive: fraction-free method","location" : {"line" : 1315,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DeterminantMatDestructive"]},{"name" : "DeterminantMatDivFree","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "DeterminantMatDivFree: Division-free method","location" : {"line" : 1548,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DimensionsMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "DimensionsMat: system getter","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(DimensionsMat)"]]},{"rank" : 134,"comment" : "DimensionsMat: for a matrix with memory","location" : {"line" : 371,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsObjWithMemory"]]},{"rank" : 34,"comment" : "DimensionsMat: for an ordinary block matrix","location" : {"line" : 651,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 30,"comment" : "DimensionsMat","location" : {"line" : 1562,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "DimensionsMat: for a plist matrix","location" : {"line" : 771,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DimensionsMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]],[["IsMatrixObj"],[]]],"locations" : [{"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DimensionsMat): system setter","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DimensionsMat): default method, does nothing","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDimensionsMat"]},{"name" : "Tester(DimensionsMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDimensionsMat"]},{"name" : "ElementaryDivisorsMat","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "ElementaryDivisorsMat: compatibility method -- supply ring","location" : {"line" : 1802,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [{"rank" : 60,"comment" : "ElementaryDivisorsMat: generic method for euclidean rings","location" : {"line" : 1790,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementaryDivisorsMat"]},{"name" : "ElementaryDivisorsTransformationsMat","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "ElementaryDivisorsTransformationsMat: compatibility method -- supply ring","location" : {"line" : 1838,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [{"rank" : 71,"comment" : "ElementaryDivisorsTransformationsMat: over the integers","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsIntegers"],["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 60,"comment" : "ElementaryDivisorsTransformationsMat: generic method for euclidean rings","location" : {"line" : 1826,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementaryDivisorsTransformationsMat"]},{"name" : "TriangulizedNullspaceMatNT","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 488,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 32,"comment" : "TriangulizedNullspaceMatNT: generic method","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizedNullspaceMatNT"]},{"name" : "NullspaceMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "NullspaceMat: system getter","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(NullspaceMat)"]]},{"rank" : 32,"comment" : "NullspaceMat: generic method for ordinary matrices","location" : {"line" : 1986,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NullspaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NullspaceMat): system setter","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NullspaceMat): default method, does nothing","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNullspaceMat"]},{"name" : "Tester(NullspaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNullspaceMat"]},{"name" : "TriangulizedNullspaceMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "TriangulizedNullspaceMat: system getter","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(TriangulizedNullspaceMat)"]]},{"rank" : 32,"comment" : "TriangulizedNullspaceMat: generic method for ordinary matrices","location" : {"line" : 1996,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TriangulizedNullspaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TriangulizedNullspaceMat): system setter","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TriangulizedNullspaceMat): default method, does nothing","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTriangulizedNullspaceMat"]},{"name" : "Tester(TriangulizedNullspaceMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTriangulizedNullspaceMat"]},{"name" : "NullspaceMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 34,"comment" : "NullspaceMatDestructive: generic method for ordinary matrices","location" : {"line" : 1991,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NullspaceMatDestructive"]},{"name" : "TriangulizedNullspaceMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 555,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 34,"comment" : "TriangulizedNullspaceMatDestructive: generic method for ordinary matrices","location" : {"line" : 2006,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizedNullspaceMatDestructive"]},{"name" : "GeneralisedEigenvalues","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 83,"comment" : "GeneralisedEigenvalues: for a matrix","location" : {"line" : 2081,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneralisedEigenvalues","GeneralizedEigenvalues"]},{"name" : "GeneralisedEigenspaces","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 593,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 83,"comment" : "GeneralisedEigenspaces: for a matrix","location" : {"line" : 2093,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneralisedEigenspaces","GeneralizedEigenspaces"]},{"name" : "Eigenvalues","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[[]]],"locations" : [{"line" : 611,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 83,"comment" : "Eigenvalues: for a matrix","location" : {"line" : 2106,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 50,"comment" : "Eigenvalues","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]],"aka" : ["EigenvaluesChar"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Eigenvalues"]},{"name" : "Eigenspaces","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 627,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 83,"comment" : "Eigenspaces: for a matrix","location" : {"line" : 2118,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Eigenspaces"]},{"name" : "Eigenvectors","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 83,"comment" : "Eigenvectors: for a matrix","location" : {"line" : 2130,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Eigenvectors"]},{"name" : "ProjectiveOrder","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "ProjectiveOrder: system getter","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(ProjectiveOrder)"]]},{"rank" : 107,"comment" : "ProjectiveOrder: object with memory","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 45,"comment" : "ProjectiveOrder: ordinary matrix of finite field elements","location" : {"line" : 2155,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsFFE))"]]},{"rank" : 19,"comment" : "ProjectiveOrder: divide and conquer for univariate polynomials","location" : {"line" : 784,"file" : "\/home\/makx\/ac\/gap\/lib\/polyfinf.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "ProjectiveOrder:  fallback method to test conditions","location" : {"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/polyfinf.gi"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ProjectiveOrder)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ProjectiveOrder): system setter","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ProjectiveOrder): default method, does nothing","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetProjectiveOrder"]},{"name" : "Tester(ProjectiveOrder)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasProjectiveOrder"]},{"name" : "RankMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "RankMat: system getter","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankMat)"]]},{"rank" : 30,"comment" : "RankMat: generic method for matrices","location" : {"line" : 2176,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "RankMat: for a plist matrix","location" : {"line" : 1635,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RankMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]],[["IsMatrixObj"],[]]],"locations" : [{"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankMat): system setter","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankMat): default method, does nothing","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankMat"]},{"name" : "Tester(RankMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankMat"]},{"name" : "RankMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 727,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 382,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 66,"comment" : "RankMatDestructive: kernel method for plain list of GF2 vectors","location" : {"line" : 2074,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["RANK_LIST_GF2VECS"]},{"rank" : 56,"comment" : "RankMatDestructive: kernel method for plain list of GF2 vectors","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["RANK_LIST_VEC8BITS"]},{"rank" : 32,"comment" : "RankMatDestructive: generic method for mutable matrices","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RankMatDestructive"]},{"name" : "SemiEchelonMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "SemiEchelonMat: system getter","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemiEchelonMat)"]]},{"rank" : 55,"comment" : "SemiEchelonMat: shortcut method for 8bit matrices","location" : {"line" : 936,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 55,"comment" : "SemiEchelonMat: shortcut method for GF2 matrices","location" : {"line" : 1962,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]]},{"rank" : 30,"comment" : "SemiEchelonMat: generic method for matrices","location" : {"line" : 2253,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemiEchelonMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemiEchelonMat): system setter","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemiEchelonMat): default method, does nothing","location" : {"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemiEchelonMat"]},{"name" : "Tester(SemiEchelonMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 763,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemiEchelonMat"]},{"name" : "SemiEchelonMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 66,"comment" : "SemiEchelonMatDestructive: kernel method for plain lists of GF2 vectors","location" : {"line" : 1990,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["SEMIECHELON_LIST_GF2VECS"]},{"rank" : 56,"comment" : "SemiEchelonMatDestructive: kernel method for plain lists of 8bit vectors","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["SEMIECHELON_LIST_VEC8BITS"]},{"rank" : 32,"comment" : "SemiEchelonMatDestructive: generic method for matrices","location" : {"line" : 2238,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiEchelonMatDestructive"]},{"name" : "SemiEchelonMatTransformation","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "SemiEchelonMatTransformation: system getter","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemiEchelonMatTransformation)"]]},{"rank" : 55,"comment" : "SemiEchelonMatTransformation: shortcut method for 8bit matrices","location" : {"line" : 951,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 55,"comment" : "SemiEchelonMatTransformation: kernel method for plain lists of GF2 vectors","location" : {"line" : 1976,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]]},{"rank" : 30,"comment" : "SemiEchelonMatTransformation: generic method for matrices","location" : {"line" : 2273,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemiEchelonMatTransformation)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemiEchelonMatTransformation): system setter","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemiEchelonMatTransformation): default method, does nothing","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemiEchelonMatTransformation"]},{"name" : "Tester(SemiEchelonMatTransformation)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemiEchelonMatTransformation"]},{"name" : "SemiEchelonMatTransformationDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 840,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 66,"comment" : "SemiEchelonMatTransformationDestructive: kernel method for plain lists of GF2 vectors","location" : {"line" : 1998,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["SEMIECHELON_LIST_GF2VECS_TRANSFORMATIONS"]},{"rank" : 56,"comment" : "SemiEchelonMatTransformationDestructive:  kernel method for plain lists of 8 bit vectors","location" : {"line" : 965,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["SEMIECHELON_LIST_VEC8BITS_TRANSFORMATIONS"]},{"rank" : 32,"comment" : "SemiEchelonMatTransformationDestructive: generic method for matrices","location" : {"line" : 2346,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiEchelonMatTransformationDestructive"]},{"name" : "SemiEchelonMats","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 892,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "SemiEchelonMats: for list of matrices","location" : {"line" : 2437,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiEchelonMats"]},{"name" : "SemiEchelonMatsDestructive","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 910,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "SemiEchelonMatsDestructive: for list of matrices","location" : {"line" : 2444,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiEchelonMatsDestructive"]},{"name" : "TransposedMatImmutable","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "TransposedMatImmutable: system getter","location" : {"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransposedMatImmutable)"]]},{"rank" : 55,"comment" : "TransposedMatImmutable: for a compressed 8 bit matrix","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]],"aka" : ["TRANSPOSED_MAT8BIT"]},{"rank" : 44,"comment" : "TransposedMatImmutable: GF2 matrix","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]],"aka" : ["TRANSPOSED_GF2MAT"]},{"rank" : 34,"comment" : "TransposedMatImmutable: for an ordinary block matrix","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsOrdinaryMatrix","IsBlockMatrixRep"]]},{"rank" : 15,"comment" : "TransposedMatImmutable: for a plist matrix","location" : {"line" : 1731,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 2,"comment" : "TransposedMatImmutable: generic method for matrices and lists","location" : {"line" : 2455,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]],"aka" : ["MutableTransposedMat","TransposedMatMutable","TransposedMatOp"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransposedMatImmutable)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]],[["IsMatrixObj"],[]]],"locations" : [{"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransposedMatImmutable): system setter","location" : {"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransposedMatImmutable): default method, does nothing","location" : {"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransposedMat","SetTransposedMatAttr","SetTransposedMatImmutable"]},{"name" : "Tester(TransposedMatImmutable)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTransposedMat","HasTransposedMatAttr","HasTransposedMatImmutable"]},{"name" : "TransposedMatMutable","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"]]],"locations" : [{"line" : 951,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 55,"comment" : "TransposedMatMutable: for a compressed 8 bit matrix","location" : {"line" : 912,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 44,"comment" : "TransposedMatMutable: GF2 matrix","location" : {"line" : 724,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]]},{"rank" : 32,"comment" : "TransposedMatMutable: generic method","location" : {"line" : 1874,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsRectangularTable","Tester(IsRectangularTable)"]]},{"rank" : 15,"comment" : "TransposedMatMutable: for a plist matrix","location" : {"line" : 1722,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 2,"comment" : "TransposedMatMutable: for arbitrary lists of lists","location" : {"line" : 1915,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "MutableTransposedMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 32,"comment" : "MutableTransposedMatDestructive: generic method","location" : {"line" : 1976,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MutableTransposedMatDestructive"]},{"name" : "TransposedMatDestructive","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "TransposedMatDestructive: generic method for matrices","location" : {"line" : 2464,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 2,"comment" : "TransposedMatDestructive: method for empty matrices","location" : {"line" : 2473,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransposedMatDestructive"]},{"name" : "IsMonomialMatrix","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "IsMonomialMatrix: system getter","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonomialMatrix)"]]},{"rank" : 30,"comment" : "IsMonomialMatrix: generic method for matrices","location" : {"line" : 2508,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonomialMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsBool"]]],"locations" : [{"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonomialMatrix): system setter","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonomialMatrix): default method, does nothing","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonomialMatrix"]},{"name" : "Tester(IsMonomialMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InverseMatMod","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 1047,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "InverseMatMod: method for a matrix, and an integer","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]},{"rank" : 48,"comment" : "InverseMatMod: generic method for matrix and integer","location" : {"line" : 2560,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InverseMatMod"]},{"name" : "KroneckerProduct","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsMatrixObj"],["IsMatrixObj"]]],"locations" : [{"line" : 1070,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 89,"comment" : "KroneckerProduct: for two 8bit matrices","location" : {"line" : 1097,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]],"aka" : ["KRONECKERPRODUCT_MAT8BIT_MAT8BIT"]},{"rank" : 88,"comment" : "KroneckerProduct: for two 8bit matrices","location" : {"line" : 1117,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","Is8BitMatrixRep"]]},{"rank" : 88,"comment" : "KroneckerProduct: for two gf2 matrices","location" : {"line" : 2279,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGF2MatrixRep"]],"aka" : ["KRONECKERPRODUCT_GF2MAT_GF2MAT"]},{"rank" : 60,"comment" : "KroneckerProduct: generic method for matrices","location" : {"line" : 2586,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 24,"comment" : "KroneckerProduct: for two matrices","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMatrixObj"],["IsMatrixObj"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KroneckerProduct"]},{"name" : "SolutionMatNoCo","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SolutionMatNoCo"]},{"name" : "SolutionMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "SolutionMat: generic method for ordinary matrix and vector","location" : {"line" : 2738,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsOrdinaryMatrix"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SolutionMat"]},{"name" : "SolutionMatDestructive","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 1134,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 48,"comment" : "SolutionMatDestructive: generic method","location" : {"line" : 2654,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsOrdinaryMatrix"],["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SolutionMatDestructive"]},{"name" : "SumIntersectionMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 60,"comment" : "SumIntersectionMat","location" : {"line" : 2826,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 33,"comment" : "SumIntersectionMat","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 33,"comment" : "SumIntersectionMat","location" : {"line" : 1227,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 6,"comment" : "SumIntersectionMat","location" : {"line" : 1243,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],["IsEmpty","Tester(IsEmpty)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SumIntersectionMat"]},{"name" : "TriangulizedMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1183,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "TriangulizedMat: generic method for matrices","location" : {"line" : 2917,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RREF","TriangulizedMat"]},{"name" : "TriangulizeMat","type" : "GAP_Operation","filters" : [[["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1214,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 66,"comment" : "TriangulizeMat: kernel method for plain list of GF2 vectors","location" : {"line" : 2014,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["TRIANGULIZE_LIST_GF2VECS"]},{"rank" : 56,"comment" : "TriangulizeMat: method for compressed matrices","location" : {"line" : 1006,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","Is8BitMatrixRep"]]},{"rank" : 56,"comment" : "TriangulizeMat: kernel method for plain list of GF2 vectors","location" : {"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/mat8bit.gi"},"filters" : [["IsMutable","IsTable","IsPlistRep","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"]],"aka" : ["TRIANGULIZE_LIST_VEC8BITS"]},{"rank" : 56,"comment" : "TriangulizeMat: for GF2 matrices","location" : {"line" : 2049,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGF2MatrixRep"]]},{"rank" : 46,"comment" : "TriangulizeMat: for a mutable ordinary matrix over a ring Z\/nZ","location" : {"line" : 815,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsOrdinaryMatrix","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]]},{"rank" : 32,"comment" : "TriangulizeMat: generic method for mutable matrices","location" : {"line" : 2903,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 17,"comment" : "TriangulizeMat: for an empty list","location" : {"line" : 2909,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizeMat"]},{"name" : "UpperSubdiagonal","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "UpperSubdiagonal","location" : {"line" : 2940,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UpperSubdiagonal"]},{"name" : "DiagonalizeMat","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1404,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 71,"comment" : "DiagonalizeMat: over the integers","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsIntegers"],["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 62,"comment" : "DiagonalizeMat: method for general Euclidean Ring","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsEuclideanRing"],["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DiagonalizeMat"]},{"name" : "MutableCopyMat","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsMatrixObj"]]],"locations" : [{"line" : 1450,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "MutableCopyMat: for a plist matrix","location" : {"line" : 1149,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "MutableCopyMat: for an 8bit matrix","location" : {"line" : 1023,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "MutableCopyMat: for a gf2 matrix","location" : {"line" : 2150,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 2,"comment" : "MutableCopyMat: generic method","location" : {"line" : 1845,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MutableCopyMat"]},{"name" : "TraceMat","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsMatrixObj"]]],"locations" : [{"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 551,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "TraceMat: generic method","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMatrixObj"]]},{"rank" : 2,"comment" : "TraceMat: method for lists","location" : {"line" : 3776,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TraceMat"]},{"name" : "JordanDecomposition","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "JordanDecomposition: system getter","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(JordanDecomposition)"]]},{"rank" : 30,"comment" : "JordanDecomposition: method for matrices","location" : {"line" : 3838,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(JordanDecomposition)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(JordanDecomposition): system setter","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(JordanDecomposition): default method, does nothing","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetJordanDecomposition"]},{"name" : "Tester(JordanDecomposition)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasJordanDecomposition"]},{"name" : "CharacteristicPolynomial","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]],[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]],[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 1923,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 1925,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},{"line" : 1927,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "CharacteristicPolynomial: system getter","location" : {"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep","Tester(CharacteristicPolynomial)"]]},{"rank" : 30,"comment" : "CharacteristicPolynomial: supply field and indeterminate 1","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [{"rank" : 84,"comment" : "CharacteristicPolynomial: supply indeterminate 1","location" : {"line" : 332,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 49,"comment" : "CharacteristicPolynomial: supply field","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 136,"comment" : "CharacteristicPolynomial: supply indeterminate 1","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 118,"comment" : "CharacteristicPolynomial: call `TracePolynomial'","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 105,"comment" : "CharacteristicPolynomial: check default field, print error if ambiguous","location" : {"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]]}],"4args" : [{"rank" : 157,"comment" : "CharacteristicPolynomial: spinning over field","location" : {"line" : 725,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]]},{"rank" : 137,"comment" : "CharacteristicPolynomial: call `TracePolynomial'","location" : {"line" : 967,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]],"aka" : ["TracePolynomial"]}],"5args" : [],"6args" : []}},{"name" : "Setter(CharacteristicPolynomial)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CharacteristicPolynomial): system setter","location" : {"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CharacteristicPolynomial): default method, does nothing","location" : {"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacteristicPolynomial"]},{"name" : "Tester(CharacteristicPolynomial)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1922,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacteristicPolynomial"]},{"name" : "CharacteristicPolynomialMatrixNC","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1945,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 104,"comment" : "CharacteristicPolynomialMatrixNC: spinning over field","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]],"aka" : ["Matrix_CharacteristicPolynomialSameField"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CharacteristicPolynomialMatrixNC"]},{"name" : "MinimalPolynomialMatrixNC","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1963,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 104,"comment" : "MinimalPolynomialMatrixNC: spinning over field","location" : {"line" : 779,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]],"aka" : ["Matrix_MinimalPolynomialSameField"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MinimalPolynomialMatrixNC"]},{"name" : "FieldOfMatrixList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1979,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "FieldOfMatrixList: finite field matrices","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsListOrCollection","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 1,"comment" : "FieldOfMatrixList: generic: form field","location" : {"line" : 3905,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FieldOfMatrixList"]},{"name" : "DefaultScalarDomainOfMatrixList","type" : "GAP_Operation","filters" : [[["IsListOrCollection"]]],"locations" : [{"line" : 1999,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "DefaultScalarDomainOfMatrixList: finite field matrices","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsListOrCollection","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"]]},{"rank" : 1,"comment" : "DefaultScalarDomainOfMatrixList: generic: form ring","location" : {"line" : 3936,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsListOrCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DefaultScalarDomainOfMatrixList"]},{"name" : "BaseField","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "BaseField: for a compressed 8bit matrix","location" : {"line" : 1139,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "BaseField: for a compressed gf2 matrix","location" : {"line" : 2301,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "BaseField: for a compressed 8bit vector","location" : {"line" : 1141,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "BaseField: for a compressed gf2 vector","location" : {"line" : 2303,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BaseField"]},{"name" : "TriangulizedIntegerMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "TriangulizedIntegerMat: dispatch","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "TriangulizedIntegerMat: empty","location" : {"line" : 598,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "TriangulizedIntegerMat: empty matrix","location" : {"line" : 597,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizedIntegerMat"]},{"name" : "TriangulizeIntegerMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 32,"comment" : "TriangulizeIntegerMat: dispatch","location" : {"line" : 628,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsMutable","IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "TriangulizeIntegerMat: empty","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizeIntegerMat"]},{"name" : "TriangulizedIntegerMatTransform","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "TriangulizedIntegerMatTransform: dispatch","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "TriangulizedIntegerMatTransform: empty","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "TriangulizedIntegerMatTransform: empty matrix","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TriangulizedIntegerMatTransform","TriangulizedIntegerMatTransforms"]},{"name" : "HermiteNormalFormIntegerMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "HermiteNormalFormIntegerMat: dispatch","location" : {"line" : 639,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "HermiteNormalFormIntegerMat: empty","location" : {"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "HermiteNormalFormIntegerMat: empty matrix","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HermiteNormalFormIntegerMat"]},{"name" : "HermiteNormalFormIntegerMatTransform","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "HermiteNormalFormIntegerMatTransform: dispatch","location" : {"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "HermiteNormalFormIntegerMatTransform: empty","location" : {"line" : 672,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "HermiteNormalFormIntegerMatTransform: empty matrix","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HermiteNormalFormIntegerMatTransform","HermiteNormalFormIntegerMatTransforms"]},{"name" : "SmithNormalFormIntegerMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "SmithNormalFormIntegerMat: dispatch","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "SmithNormalFormIntegerMat: empty","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "SmithNormalFormIntegerMat: empty matrix","location" : {"line" : 689,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SmithNormalFormIntegerMat"]},{"name" : "SmithNormalFormIntegerMatTransforms","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "SmithNormalFormIntegerMatTransforms: dispatch","location" : {"line" : 700,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 3,"comment" : "SmithNormalFormIntegerMatTransforms: empty","location" : {"line" : 716,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 2,"comment" : "SmithNormalFormIntegerMatTransforms: empty matrix","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SmithNormalFormIntegerMatTransforms"]},{"name" : "BaseIntMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "BaseIntMat: system getter","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaseIntMat)"]]},{"rank" : 42,"comment" : "BaseIntMat: use HNF","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 3,"comment" : "BaseIntMat: empty","location" : {"line" : 755,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaseIntMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],[]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaseIntMat): system setter","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaseIntMat): default method, does nothing","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaseIntMat"]},{"name" : "Tester(BaseIntMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaseIntMat"]},{"name" : "BaseIntersectionIntMats","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 360,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 84,"comment" : "BaseIntersectionIntMats: use HNF","location" : {"line" : 770,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 3,"comment" : "BaseIntersectionIntMats: emptyR","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [[],["IsEmpty","Tester(IsEmpty)"]]},{"rank" : 3,"comment" : "BaseIntersectionIntMats: emptyL","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BaseIntersectionIntMats"]},{"name" : "ComplementIntMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 84,"comment" : "ComplementIntMat: use HNF and SNF","location" : {"line" : 812,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]},{"rank" : 59,"comment" : "ComplementIntMat: empty submodule","location" : {"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsList","IsEmpty","Tester(IsEmpty)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComplementIntMat"]},{"name" : "NullspaceIntMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "NullspaceIntMat: system getter","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep","Tester(NullspaceIntMat)"]]},{"rank" : 42,"comment" : "NullspaceIntMat: use HNF","location" : {"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NullspaceIntMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],[]]],"locations" : [{"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NullspaceIntMat): system setter","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NullspaceIntMat): default method, does nothing","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNullspaceIntMat"]},{"name" : "Tester(NullspaceIntMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]],"locations" : [{"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNullspaceIntMat"]},{"name" : "SolutionIntMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsList","CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 71,"comment" : "SolutionIntMat: use HNF","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 3,"comment" : "SolutionIntMat: empty","location" : {"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SolutionIntMat"]},{"name" : "SolutionNullspaceIntMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsList","CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 71,"comment" : "SolutionNullspaceIntMat: use HNF","location" : {"line" : 895,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"],["IsList","CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SolutionNullspaceIntMat"]},{"name" : "AbelianInvariantsOfList","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "AbelianInvariantsOfList: system getter","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep","Tester(AbelianInvariantsOfList)"]]},{"rank" : 22,"comment" : "AbelianInvariantsOfList","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 17,"comment" : "AbelianInvariantsOfList","location" : {"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AbelianInvariantsOfList)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsCyclotomic)"],[]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AbelianInvariantsOfList): system setter","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AbelianInvariantsOfList): default method, does nothing","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAbelianInvariantsOfList"]},{"name" : "Tester(AbelianInvariantsOfList)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/matint.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAbelianInvariantsOfList"]},{"name" : "MatrixByBlockMatrix","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "MatrixByBlockMatrix: system getter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"},"filters" : [["IsAttributeStoringRep","Tester(MatrixByBlockMatrix)"]]},{"rank" : 30,"comment" : "MatrixByBlockMatrix","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MatrixByBlockMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MatrixByBlockMatrix): system setter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MatrixByBlockMatrix): default method, does nothing","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMatrixByBlockMatrix"]},{"name" : "Tester(MatrixByBlockMatrix)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matblock.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMatrixByBlockMatrix"]},{"name" : "IsTwoSidedIdealOp","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 59,"comment" : "IsTwoSidedIdealOp: for anti-commutative FLMLOR and free left module","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsAnticommutative","Tester(IsAnticommutative)","IsFreeLeftModule"],["IsFreeLeftModule"]],"aka" : ["IsLeftIdeal"]},{"rank" : 59,"comment" : "IsTwoSidedIdealOp: for commutative FLMLOR and free left module","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 57,"comment" : "IsTwoSidedIdealOp: for FLMLOR and free left module","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 52,"comment" : "IsTwoSidedIdealOp: for rings and subrings","location" : {"line" : 996,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIdealOp","IsTwoSidedIdealOp"]},{"name" : "IsTwoSidedIdealInParent","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsTwoSidedIdealInParent: system getter","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTwoSidedIdealInParent)"]]},{"rank" : 29,"comment" : "IsTwoSidedIdealInParent","location" : {"line" : 304,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["Tester(ParentAttr)","IsRightIdealInParent","Tester(IsRightIdealInParent)"]]},{"rank" : 29,"comment" : "IsTwoSidedIdealInParent","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["Tester(ParentAttr)","IsLeftIdealInParent","Tester(IsLeftIdealInParent)"]]},{"rank" : 27,"comment" : "IsTwoSidedIdealInParent: method that calls the two-argument operation IsTwoSidedIdealOp","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["Tester(ParentAttr)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsTwoSidedIdealInParent: default method requiring categories and checking properties","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTwoSidedIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTwoSidedIdealInParent): system setter","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTwoSidedIdealInParent): default method, does nothing","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIdealInParent","SetIsTwoSidedIdealInParent"]},{"name" : "Tester(IsTwoSidedIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsTwoSidedIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "IsTwoSidedIdeal: try to exploit the in-parent attribute IsTwoSidedIdealInParent","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIdeal","IsTwoSidedIdeal"]},{"name" : "IsLeftIdealOp","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 72,"comment" : "IsLeftIdealOp: for associative FLMLOR and FLMLOR","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 66,"comment" : "IsLeftIdealOp: for associative FLMLOR-with-one and free left module","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 61,"comment" : "IsLeftIdealOp: for associative FLMLOR and free left module","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 58,"comment" : "IsLeftIdealOp: for SCRings","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 57,"comment" : "IsLeftIdealOp: for FLMLOR and free left module","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLeftIdealOp"]},{"name" : "IsLeftIdealInParent","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsLeftIdealInParent: system getter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftIdealInParent)"]]},{"rank" : 27,"comment" : "IsLeftIdealInParent: method that calls the two-argument operation IsLeftIdealOp","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["Tester(ParentAttr)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsLeftIdealInParent: default method requiring categories and checking properties","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftIdealInParent): system setter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftIdealInParent): default method, does nothing","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftIdealInParent"]},{"name" : "Tester(IsLeftIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLeftIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 79,"comment" : "IsLeftIdeal: left ideal in ring, naive","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)"]]},{"rank" : 52,"comment" : "IsLeftIdeal: try to exploit the in-parent attribute IsLeftIdealInParent","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightIdealOp","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 72,"comment" : "IsRightIdealOp: for associative FLMLOR and FLMLOR","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 66,"comment" : "IsRightIdealOp: for associative FLMLOR-with-one and free left module","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 61,"comment" : "IsRightIdealOp: for associative FLMLOR and free left module","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]},{"rank" : 58,"comment" : "IsRightIdealOp: for SCRings","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 57,"comment" : "IsRightIdealOp: for FLMLOR and free left module","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsRightIdealOp"]},{"name" : "IsRightIdealInParent","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "IsRightIdealInParent: system getter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRightIdealInParent)"]]},{"rank" : 27,"comment" : "IsRightIdealInParent: method that calls the two-argument operation IsRightIdealOp","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["Tester(ParentAttr)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "IsRightIdealInParent: default method requiring categories and checking properties","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRightIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRightIdealInParent): system setter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRightIdealInParent): default method, does nothing","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRightIdealInParent"]},{"name" : "Tester(IsRightIdealInParent)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "IsRightIdeal: try to exploit the in-parent attribute IsRightIdealInParent","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsRightIdeal"]},{"name" : "TwoSidedIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : "TwoSidedIdealByGenerators: for Lie algebra and collection of Lie objects","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","CategoryCollections(IsLieObject)"]],"aka" : ["IdealByGeneratorsForLieAlgebra"]},{"rank" : 61,"comment" : "TwoSidedIdealByGenerators: for matrix algebra and empty list","location" : {"line" : 646,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 59,"comment" : "TwoSidedIdealByGenerators: for Lie algebra and empty list","location" : {"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 54,"comment" : "TwoSidedIdealByGenerators: for Gaussian matrix algebra and list of matrices","location" : {"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsList","IsCollection"]]},{"rank" : 53,"comment" : "TwoSidedIdealByGenerators: for non-Gaussian matrix algebra and list of matrices","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsNonGaussianMatrixSpace"],["IsList","IsCollection"]]},{"rank" : 51,"comment" : "TwoSidedIdealByGenerators: for FLMLOR and empty list","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 36,"comment" : "TwoSidedIdealByGenerators: for FLMLOR and collection","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 28,"comment" : "TwoSidedIdealByGenerators: for ring and collection","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IdealByGenerators","TwoSidedIdealByGenerators"]},{"name" : "LeftIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : "LeftIdealByGenerators: for Lie algebra and collection of Lie objects","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","CategoryCollections(IsLieObject)"]]},{"rank" : 61,"comment" : "LeftIdealByGenerators: for matrix algebra and empty list","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 59,"comment" : "LeftIdealByGenerators: for Lie algebra and empty list","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 54,"comment" : "LeftIdealByGenerators: for Gaussian matrix algebra and list of matrices","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsList","IsCollection"]]},{"rank" : 53,"comment" : "LeftIdealByGenerators: for non-Gaussian matrix algebra and list of matrices","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsNonGaussianMatrixSpace"],["IsList","IsCollection"]]},{"rank" : 51,"comment" : "LeftIdealByGenerators: for FLMLOR and empty list","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 38,"comment" : "LeftIdealByGenerators: to construct ideals of commutative rings","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 36,"comment" : "LeftIdealByGenerators: for FLMLOR and collection","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 28,"comment" : "LeftIdealByGenerators: for ring and collection","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftIdealByGenerators"]},{"name" : "RightIdealByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : "RightIdealByGenerators: for Lie algebra and collection of Lie objects","location" : {"line" : 590,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","CategoryCollections(IsLieObject)"]]},{"rank" : 61,"comment" : "RightIdealByGenerators: for matrix algebra and empty list","location" : {"line" : 832,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 59,"comment" : "RightIdealByGenerators: for Lie algebra and empty list","location" : {"line" : 590,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 54,"comment" : "RightIdealByGenerators: for Gaussian matrix algebra and list of matrices","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsList","IsCollection"]]},{"rank" : 53,"comment" : "RightIdealByGenerators: for non-Gaussian matrix algebra and list of matrices","location" : {"line" : 806,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsNonGaussianMatrixSpace"],["IsList","IsCollection"]]},{"rank" : 51,"comment" : "RightIdealByGenerators: for FLMLOR and empty list","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 38,"comment" : "RightIdealByGenerators: to construct ideals of commutative rings","location" : {"line" : 275,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 36,"comment" : "RightIdealByGenerators: for FLMLOR and collection","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]},{"rank" : 28,"comment" : "RightIdealByGenerators: for ring and collection","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightIdealByGenerators"]},{"name" : "GeneratorsOfTwoSidedIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratorsOfTwoSidedIdeal: system getter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfTwoSidedIdeal)"]]},{"rank" : 29,"comment" : "GeneratorsOfTwoSidedIdeal: for a two-sided ideal with known `GeneratorsOfRightIdeal'","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : 29,"comment" : "GeneratorsOfTwoSidedIdeal: for a two-sided ideal with known `GeneratorsOfLeftIdeal'","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : -14,"comment" : "GeneratorsOfTwoSidedIdeal: default method requiring categories and checking properties","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfTwoSidedIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfTwoSidedIdeal): system setter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfTwoSidedIdeal): default method, does nothing","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfIdeal","SetGeneratorsOfTwoSidedIdeal"]},{"name" : "Tester(GeneratorsOfTwoSidedIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfIdeal","HasGeneratorsOfTwoSidedIdeal"]},{"name" : "GeneratorsOfLeftIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratorsOfLeftIdeal: system getter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfLeftIdeal)"]]},{"rank" : 29,"comment" : "GeneratorsOfLeftIdeal: for an ideal with known `GeneratorsOfTwoSidedIdeal'","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : -14,"comment" : "GeneratorsOfLeftIdeal: default method requiring categories and checking properties","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfLeftIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfLeftIdeal): system setter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfLeftIdeal): default method, does nothing","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfLeftIdeal"]},{"name" : "Tester(GeneratorsOfLeftIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfLeftIdeal"]},{"name" : "GeneratorsOfRightIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "GeneratorsOfRightIdeal: system getter","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfRightIdeal)"]]},{"rank" : 29,"comment" : "GeneratorsOfRightIdeal: for an ideal with known `GeneratorsOfTwoSidedIdeal'","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)"]]},{"rank" : -14,"comment" : "GeneratorsOfRightIdeal: default method requiring categories and checking properties","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfRightIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfRightIdeal): system setter","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfRightIdeal): default method, does nothing","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfRightIdeal"]},{"name" : "Tester(GeneratorsOfRightIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfRightIdeal"]},{"name" : "LeftActingRingOfIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "LeftActingRingOfIdeal: system getter","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftActingRingOfIdeal)"]]},{"rank" : -14,"comment" : "LeftActingRingOfIdeal: default method requiring categories and checking properties","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftActingRingOfIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeftActingRingOfIdeal): system setter","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftActingRingOfIdeal): default method, does nothing","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftActingRingOfIdeal"]},{"name" : "Tester(LeftActingRingOfIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftActingRingOfIdeal"]},{"name" : "RightActingRingOfIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "RightActingRingOfIdeal: system getter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightActingRingOfIdeal)"]]},{"rank" : -14,"comment" : "RightActingRingOfIdeal: default method requiring categories and checking properties","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightActingRingOfIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightActingRingOfIdeal): system setter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightActingRingOfIdeal): default method, does nothing","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightActingRingOfIdeal"]},{"name" : "Tester(RightActingRingOfIdeal)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightActingRingOfIdeal"]},{"name" : "AsLeftIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "AsLeftIdeal: for two FLMLORs","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 52,"comment" : "AsLeftIdeal: for two rings","location" : {"line" : 830,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsLeftIdeal"]},{"name" : "AsRightIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "AsRightIdeal: for two FLMLORs","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 52,"comment" : "AsRightIdeal: for two rings","location" : {"line" : 846,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsRightIdeal"]},{"name" : "AsTwoSidedIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "AsTwoSidedIdeal: for two FLMLORs","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 52,"comment" : "AsTwoSidedIdeal: for two rings","location" : {"line" : 862,"file" : "\/home\/makx\/ac\/gap\/lib\/ideal.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsTwoSidedIdeal"]},{"name" : "IsFiniteDimensional","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsFiniteDimensional: system getter","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFiniteDimensional)"]]},{"rank" : 43,"comment" : "IsFiniteDimensional: for a f.p. Lie algebra","location" : {"line" : 4187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsSubalgebraFpAlgebra"]]},{"rank" : 39,"comment" : "IsFiniteDimensional: for a left module of free magma ring elements","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorRing)","CategoryCollections(IsElementOfFreeMagmaRing)"]]},{"rank" : 37,"comment" : "IsFiniteDimensional: for f.p. algebra","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsSubalgebraFpAlgebra"]]},{"rank" : 36,"comment" : "IsFiniteDimensional: for a magma ring modulo the span of ``zero''","location" : {"line" : 1629,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagmaRingModuloSpanOfZero"]]},{"rank" : 36,"comment" : "IsFiniteDimensional: for a free magma ring","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 35,"comment" : "IsFiniteDimensional: for an ideal in an algebra","location" : {"line" : 536,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(RightActingRingOfIdeal)","IsFreeLeftModule"]]},{"rank" : 35,"comment" : "IsFiniteDimensional: for an ideal in an algebra","location" : {"line" : 524,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","IsFreeLeftModule"]]},{"rank" : 28,"comment" : "IsFiniteDimensional: for a space of algebra module elements","location" : {"line" : 909,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 24,"comment" : "IsFiniteDimensional: for a free left module with known dimension","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(Dimension)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFiniteDimensional)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFiniteDimensional): system setter","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFiniteDimensional): default method, does nothing","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFiniteDimensional"]},{"name" : "Tester(IsFiniteDimensional)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFullRowModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsFullRowModule: system getter","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullRowModule)"]]},{"rank" : 30,"comment" : "IsFullRowModule: for Gaussian row space","location" : {"line" : 1104,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 29,"comment" : "IsFullRowModule: for non-Gaussian row space","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsNonGaussianRowSpace"]]},{"rank" : 23,"comment" : "IsFullRowModule: for free left (row) module","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 22,"comment" : "IsFullRowModule: for arbitrary free left module","location" : {"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullRowModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullRowModule): system setter","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullRowModule): default method, does nothing","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullRowModule"]},{"name" : "Tester(IsFullRowModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFullMatrixModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsFullMatrixModule: system getter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullMatrixModule)"]]},{"rank" : 30,"comment" : "IsFullMatrixModule: for Gaussian matrix space","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]]},{"rank" : 29,"comment" : "IsFullMatrixModule: for non-Gaussian matrix space","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsNonGaussianMatrixSpace"]]},{"rank" : 23,"comment" : "IsFullMatrixModule: for matrix module","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 22,"comment" : "IsFullMatrixModule: for arbitrary free left module","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullMatrixModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullMatrixModule): system setter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullMatrixModule): default method, does nothing","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullMatrixModule"]},{"name" : "Tester(IsFullMatrixModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Dimension","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "Dimension: system getter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(Dimension)"]]},{"rank" : 48,"comment" : "Dimension: for full matrix module","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "Dimension: for full row module","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 43,"comment" : "Dimension: for a f.p. Lie algebra","location" : {"line" : 4166,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsSubalgebraFpAlgebra"]]},{"rank" : 36,"comment" : "Dimension: for a magma ring modulo the span of ``zero''","location" : {"line" : 1639,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagmaRingModuloSpanOfZero"]]},{"rank" : 36,"comment" : "Dimension: for a free magma ring","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 36,"comment" : "Dimension: for full hom space of linear mappings","location" : {"line" : 1865,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 23,"comment" : "Dimension: for a free left module","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Dimension)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Dimension): system setter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Dimension): default method, does nothing","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDimension"]},{"name" : "Tester(Dimension)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDimension"]},{"name" : "GeneratorsOfLeftOperatorAdditiveGroup","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20021,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: system getter","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 62,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for FLMLOR with known right ideal generators","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)","IsFreeLeftModule"]]},{"rank" : 62,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for FLMLOR with known left ideal generators","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)","IsFreeLeftModule"]]},{"rank" : 58,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for a finite field (return the vectors of the canonical basis)","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 48,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for full matrix module","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]],"aka" : ["StandardGeneratorsOfFullMatrixModule"]},{"rank" : 48,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for full row module","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 36,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for a magma ring modulo the span of ``zero''","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsMagmaRingModuloSpanOfZero"]]},{"rank" : 36,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for a free magma ring","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 36,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for full hom space of linear mappings","location" : {"line" : 1948,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]],"aka" : ["StandardGeneratorsOfFullHomModule"]},{"rank" : 35,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for FLMLOR with known ideal generators","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","IsFreeLeftModule"]]},{"rank" : 34,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for a FLMLOR","location" : {"line" : 2814,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 28,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: for a space of algebra module elements","location" : {"line" : 922,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 26,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsAttributeStoringRep","IsFreeLeftModule","Tester(Basis)"]]},{"rank" : -20,"comment" : "GeneratorsOfLeftOperatorAdditiveGroup: default method requiring categories and checking properties","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfLeftOperatorAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],[]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "Setter(GeneratorsOfLeftOperatorAdditiveGroup): method that checks for `IsFiniteDimensional'","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsAttributeStoringRep","IsFreeLeftModule"],["IsList"]]},{"rank" : 2,"comment" : "Setter(GeneratorsOfLeftOperatorAdditiveGroup): system setter","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfLeftOperatorAdditiveGroup): default method, does nothing","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfLeftModule","SetGeneratorsOfLeftOperatorAdditiveGroup","SetGeneratorsOfLeftVectorSpace","SetGeneratorsOfVectorSpace"]},{"name" : "Tester(GeneratorsOfLeftOperatorAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfLeftModule","HasGeneratorsOfLeftOperatorAdditiveGroup","HasGeneratorsOfLeftVectorSpace","HasGeneratorsOfVectorSpace"]},{"name" : "GeneratorsOfRightOperatorAdditiveGroup","type" : "GAP_Operation","filters" : [[["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20021,"comment" : "GeneratorsOfRightOperatorAdditiveGroup: system getter","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfRightOperatorAdditiveGroup)"]]},{"rank" : -20,"comment" : "GeneratorsOfRightOperatorAdditiveGroup: default method requiring categories and checking properties","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfRightOperatorAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],[]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfRightOperatorAdditiveGroup): system setter","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfRightOperatorAdditiveGroup): default method, does nothing","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfRightModule","SetGeneratorsOfRightOperatorAdditiveGroup"]},{"name" : "Tester(GeneratorsOfRightOperatorAdditiveGroup)","type" : "GAP_Operation","filters" : [[["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfRightModule","HasGeneratorsOfRightOperatorAdditiveGroup"]},{"name" : "AsLeftModule","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 104,"comment" : "AsLeftModule: for two division rings","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]],"aka" : ["AsDivisionRing","AsField"]},{"rank" : 82,"comment" : "AsLeftModule: for division ring and matrix","location" : {"line" : 805,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 77,"comment" : "AsLeftModule: method for a division ring and a vector space","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 48,"comment" : "AsLeftModule:  for a ring and a left module","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 28,"comment" : "AsLeftModule: generic method for a ring and a collection","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsLeftModule","AsVectorSpace"]},{"name" : "ClosureLeftModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "ClosureLeftModule: for two left modules","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 33,"comment" : "ClosureLeftModule: method for a vector space with basis, and a vector","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","Tester(Basis)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 31,"comment" : "ClosureLeftModule: for free left module and vector","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule","Tester(Basis)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 29,"comment" : "ClosureLeftModule: for left module and vector","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureLeftModule"]},{"name" : "LeftModuleByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]],[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsListOrCollection"],[]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},{"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 82,"comment" : "LeftModuleByGenerators: for division ring and matrix over it","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 28,"comment" : "LeftModuleByGenerators: for ring and collection","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [{"rank" : 94,"comment" : "LeftModuleByGenerators: for division ring, matrix over it, and row vector","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 81,"comment" : "LeftModuleByGenerators: for division ring, empty list, and row vector","location" : {"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 30,"comment" : "LeftModuleByGenerators: for ring, homogeneous list, and vector","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftModuleByGenerators"]},{"name" : "UseBasis","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsHomogeneousList"]]],"locations" : [{"line" : 489,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "UseBasis: for a free left module and a homog. list","location" : {"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/modfree.gi"},"filters" : [["IsFreeLeftModule"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UseBasis"]},{"name" : "IsRowModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsRowModule: system getter","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRowModule)"]]},{"rank" : 23,"comment" : "IsRowModule: for a free left module","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 0,"comment" : "IsRowModule: return `false' for objects which are not free left modules","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRowModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRowModule): system setter","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRowModule): default method, does nothing","location" : {"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRowModule"]},{"name" : "Tester(IsRowModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMatrixModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsMatrixModule: system getter","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMatrixModule)"]]},{"rank" : 24,"comment" : "IsMatrixModule: for a free left module","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 23,"comment" : "IsMatrixModule: for a free left module without generators","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule"]]},{"rank" : 0,"comment" : "IsMatrixModule: return `false' for objects which are not free left modules","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMatrixModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMatrixModule): system setter","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMatrixModule): default method, does nothing","location" : {"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMatrixModule"]},{"name" : "Tester(IsMatrixModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 682,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DimensionOfVectors","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "DimensionOfVectors: system getter","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep","Tester(DimensionOfVectors)"]]},{"rank" : 23,"comment" : "DimensionOfVectors: generic method for left modules","location" : {"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gi"},"filters" : [["IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DimensionOfVectors)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DimensionOfVectors): system setter","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DimensionOfVectors): default method, does nothing","location" : {"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDimensionOfVectors"]},{"name" : "Tester(DimensionOfVectors)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 714,"file" : "\/home\/makx\/ac\/gap\/lib\/module.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDimensionOfVectors"]},{"name" : "IsCanonicalBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsCanonicalBasis: system getter","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalBasis)"]]},{"rank" : 13,"comment" : "IsCanonicalBasis: for a basis handled by a nice basis","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis"]]},{"rank" : 10,"comment" : "IsCanonicalBasis: for a basis with replaced left module, and a vector","location" : {"line" : 1478,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsBasisWithReplacedLeftModuleRep"]]},{"rank" : 7,"comment" : "IsCanonicalBasis: for a basis","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalBasis): system setter","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalBasis): default method, does nothing","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalBasis"]},{"name" : "Tester(IsCanonicalBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCanonicalBasisFullRowModule","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsCanonicalBasisFullRowModule: system getter","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalBasisFullRowModule)"]]},{"rank" : 7,"comment" : "IsCanonicalBasisFullRowModule: for a basis","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalBasisFullRowModule)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalBasisFullRowModule): system setter","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalBasisFullRowModule): default method, does nothing","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalBasisFullRowModule"]},{"name" : "Tester(IsCanonicalBasisFullRowModule)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCanonicalBasisFullMatrixModule","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsCanonicalBasisFullMatrixModule: system getter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalBasisFullMatrixModule)"]]},{"rank" : 7,"comment" : "IsCanonicalBasisFullMatrixModule: for a basis","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalBasisFullMatrixModule)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalBasisFullMatrixModule): system setter","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalBasisFullMatrixModule): default method, does nothing","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalBasisFullMatrixModule"]},{"name" : "Tester(IsCanonicalBasisFullMatrixModule)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsIntegralBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsIntegralBasis: system getter","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIntegralBasis)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIntegralBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIntegralBasis): system setter","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIntegralBasis): default method, does nothing","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIntegralBasis"]},{"name" : "Tester(IsIntegralBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNormalBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsNormalBasis: system getter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNormalBasis)"]]},{"rank" : 7,"comment" : "IsNormalBasis: for a basis of a field","location" : {"line" : 375,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNormalBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNormalBasis): system setter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNormalBasis): default method, does nothing","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNormalBasis"]},{"name" : "Tester(IsNormalBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemiEchelonized","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsSemiEchelonized: system getter","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemiEchelonized)"]]},{"rank" : 7,"comment" : "IsSemiEchelonized: for basis (of a Gaussian matrix space)","location" : {"line" : 391,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsBasis"]]},{"rank" : 7,"comment" : "IsSemiEchelonized: for basis of a Gaussian row space","location" : {"line" : 442,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSemiEchelonized)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemiEchelonized): system setter","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemiEchelonized): default method, does nothing","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemiEchelonized"]},{"name" : "Tester(IsSemiEchelonized)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "BasisVectors","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "BasisVectors: system getter","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(BasisVectors)"]]},{"rank" : 10018,"comment" : "BasisVectors: for empty basis","location" : {"line" : 1380,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)","IsBasis"]]},{"rank" : 16,"comment" : "BasisVectors: for canonical basis of a full matrix module","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFullMatrixModule","Tester(IsCanonicalBasisFullMatrixModule)"]]},{"rank" : 16,"comment" : "BasisVectors: for canonical basis of a full row module","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFullRowModule","Tester(IsCanonicalBasisFullRowModule)"]]},{"rank" : 15,"comment" : "BasisVectors: for semi-ech. basis of a Gaussian matrix space","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianMatrixSpaceRep"]]},{"rank" : 15,"comment" : "BasisVectors: for semi-ech. basis of a Gaussian row space","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianRowSpaceRep"]]},{"rank" : 13,"comment" : "BasisVectors: for canon. basis of cyclotomic field of cyclotomics","location" : {"line" : 1584,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisCyclotomicFieldRep"]]},{"rank" : 13,"comment" : "BasisVectors: for basis by nice basis","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis"]]},{"rank" : 12,"comment" : "BasisVectors: for canon. basis of an algebraic extension","location" : {"line" : 969,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsCanonicalBasisAlgebraicExtension"]]},{"rank" : 11,"comment" : "BasisVectors: for canonical basis of full s. c. algebra","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullSCAlgebra","Tester(IsCanonicalBasisFullSCAlgebra)"]]},{"rank" : 10,"comment" : "BasisVectors: for a basis with replaced left module","location" : {"line" : 1443,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsBasisWithReplacedLeftModuleRep"]]},{"rank" : 9,"comment" : "BasisVectors: for pseudo canonical basis of a full hom module","location" : {"line" : 2063,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsBasis","IsPseudoCanonicalBasisFullHomModule","Tester(IsPseudoCanonicalBasisFullHomModule)"]]},{"rank" : 3,"comment" : "BasisVectors: for mutable basis with underlying mutable basis","location" : {"line" : 562,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaUnderlyingMutableBasisRep"]]},{"rank" : 3,"comment" : "BasisVectors: for a mutable basis of a Gaussian matrix space","location" : {"line" : 1001,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"]]},{"rank" : 3,"comment" : "BasisVectors: for a mutable basis of a Gaussian row space","location" : {"line" : 1511,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"]]},{"rank" : 3,"comment" : "BasisVectors: for mutable basis represented by a nice mutable basis","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"]]},{"rank" : 3,"comment" : "BasisVectors: for mutable basis represented by an immutable basis","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisByImmutableBasisRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BasisVectors)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BasisVectors): system setter","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BasisVectors): default method, does nothing","location" : {"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBasisVectors"]},{"name" : "Tester(BasisVectors)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBasisVectors"]},{"name" : "EnumeratorByBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "EnumeratorByBasis: system getter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(EnumeratorByBasis)"]]},{"rank" : 16,"comment" : "EnumeratorByBasis: for enumerator via canonical basis of a full row module","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFullRowModule","Tester(IsCanonicalBasisFullRowModule)"]]},{"rank" : 7,"comment" : "EnumeratorByBasis: for basis of a finite dimensional left module","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EnumeratorByBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EnumeratorByBasis): system setter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EnumeratorByBasis): default method, does nothing","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEnumeratorByBasis"]},{"name" : "Tester(EnumeratorByBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEnumeratorByBasis"]},{"name" : "StructureConstantsTable","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "StructureConstantsTable: system getter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(StructureConstantsTable)"]]},{"rank" : 7,"comment" : "StructureConstantsTable: for a basis","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StructureConstantsTable)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StructureConstantsTable): system setter","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StructureConstantsTable): default method, does nothing","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStructureConstantsTable"]},{"name" : "Tester(StructureConstantsTable)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStructureConstantsTable"]},{"name" : "UnderlyingLeftModule","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "UnderlyingLeftModule: system getter","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingLeftModule)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingLeftModule)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingLeftModule): system setter","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingLeftModule): default method, does nothing","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingLeftModule"]},{"name" : "Tester(UnderlyingLeftModule)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingLeftModule"]},{"name" : "Coefficients","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10025,"comment" : "Coefficients: for empty basis and vector","location" : {"line" : 1392,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)","IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 10019,"comment" : "Coefficients: for basis of a monomial space, and a vector","location" : {"line" : 1759,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsBasis","IsBasisOfMonomialSpaceRep"],["IsMonomialElement","IsMonomialElementRep"]]},{"rank" : 10017,"comment" : "Coefficients: for basis of a sparse rowspace, and a vector","location" : {"line" : 3177,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsBasis","IsBasisOfSparseRowSpaceRep"],["IsSparseRowSpaceElement"]]},{"rank" : 46,"comment" : "Coefficients: for canonical basis of a full matrix module","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullMatrixModule","Tester(IsCanonicalBasisFullMatrixModule)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 45,"comment" : "Coefficients: for semi-ech. basis of a Gaussian matrix space, and a matrix","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianMatrixSpaceRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 36,"comment" : "Coefficients: for pseudo can. basis of full hom module, and lin. m.b.m.","location" : {"line" : 2119,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsBasis","IsPseudoCanonicalBasisFullHomModule","Tester(IsPseudoCanonicalBasisFullHomModule)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsLinearMappingByMatrixDefaultRep"]]},{"rank" : 32,"comment" : "Coefficients: For a FFE in Conway polynomial represntation wrt the canonical basis of its natural field","location" : {"line" : 1471,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsCanonicalBasis","Tester(IsCanonicalBasis)","IsBasisFiniteFieldRep"],["IsFFE","IsCoeffsModConwayPolRep"]]},{"rank" : 29,"comment" : "Coefficients: for canonical basis of cyclotomic field, and cyclotomic","location" : {"line" : 1641,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisCyclotomicFieldRep"],["IsCyc"]]},{"rank" : 28,"comment" : "Coefficients: for canonical basis of abelian number field, and cyclotomic","location" : {"line" : 1396,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisAbelianNumberFieldRep"],["IsCyc"]]},{"rank" : 28,"comment" : "Coefficients: for canon. basis of Gaussian integers, and cyclotomic","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisGaussianIntegersRep"],["IsCyc"]]},{"rank" : 28,"comment" : "Coefficients: for canonical basis of a full row module","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullRowModule","Tester(IsCanonicalBasisFullRowModule)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 28,"comment" : "Coefficients: for the canonical basis of Integers","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisIntegersRep"],["IsCyc"]]},{"rank" : 27,"comment" : "Coefficients: for canon. basis of an algebraic extension, and alg. element","location" : {"line" : 982,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsCanonicalBasisAlgebraicExtension"],["IsAlgebraicElement"]]},{"rank" : 27,"comment" : "Coefficients: for semi-ech. basis of a Gaussian row space, and a row vector","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 24,"comment" : "Coefficients: for canon. basis of a free magma ring, and a vector","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsCanonicalBasisFreeMagmaRingRep"],["IsElementOfFreeMagmaRing"]]},{"rank" : 23,"comment" : "Coefficients: for a basis of a finite field, and a scalar","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsBasis","IsBasisFiniteFieldRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "Coefficients: for canon. basis of an algebraic extension, and scalar","location" : {"line" : 995,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsCanonicalBasisAlgebraicExtension"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "Coefficients: for canonical basis of full s. c. algebra","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullSCAlgebra","Tester(IsCanonicalBasisFullSCAlgebra)"],["IsSCAlgebraObj"]]},{"rank" : 20,"comment" : "Coefficients: for basis handled by nice basis, and vector","location" : {"line" : 1017,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 20,"comment" : "Coefficients: for relative basis and vector","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsRelativeBasisDefaultRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 19,"comment" : "Coefficients: method for canonical basis of Rationals","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsBasis","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisRationals"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 18,"comment" : "Coefficients: for basis of weight rep elements, and algebra module element","location" : {"line" : 3223,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsBasisOfWeightRepElementSpace"],["IsPackedElementDefaultRep","IsWeightRepElement"]]},{"rank" : 18,"comment" : "Coefficients: for basis of a space of algebra module elements, and algebra module element","location" : {"line" : 859,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsBasisOfAlgebraModuleElementSpace"],["IsPackedElementDefaultRep","IsAlgebraModuleElement"]]},{"rank" : 17,"comment" : "Coefficients: for a basis with replaced left module, and a vector","location" : {"line" : 1456,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsBasisWithReplacedLeftModuleRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 16,"comment" : "Coefficients: for pseudo canon. basis of a full hom module, and lin. mapping","location" : {"line" : 2092,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsBasis","IsPseudoCanonicalBasisFullHomModule","Tester(IsPseudoCanonicalBasisFullHomModule)"],["IsGeneralMapping"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Coefficients"]},{"name" : "LinearCombination","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10035,"comment" : "LinearCombination: for empty basis and empty list","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)","IsBasis"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 27,"comment" : "LinearCombination","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 23,"comment" : "LinearCombination: for canonical basis of full s. c. algebra","location" : {"line" : 1011,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullSCAlgebra","Tester(IsCanonicalBasisFullSCAlgebra)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 17,"comment" : "LinearCombination: for a basis of a finite field, and a hom. list","location" : {"line" : 570,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsBasis","IsBasisFiniteFieldRep"],["IsHomogeneousList"]]},{"rank" : 14,"comment" : "LinearCombination: for a basis with replaced left module, and a hom. list","location" : {"line" : 1468,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis","IsBasisWithReplacedLeftModuleRep"],["IsHomogeneousList"]]},{"rank" : 11,"comment" : "LinearCombination: for a basis and a homogeneous list","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"],["IsHomogeneousList"]]},{"rank" : 4,"comment" : "LinearCombination: for two lists","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LinearCombination"]},{"name" : "SiftedVector","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10025,"comment" : "SiftedVector: for empty basis and vector","location" : {"line" : 1407,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsEmpty","Tester(IsEmpty)","IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 45,"comment" : "SiftedVector: for semi-ech. basis of Gaussian matrix space, and matrix","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianMatrixSpaceRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 33,"comment" : "SiftedVector: for mutable basis of Gaussian matrix space, and matrix","location" : {"line" : 1155,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 27,"comment" : "SiftedVector: for semi-ech. basis of Gaussian row space, and row vector","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsBasis","IsSemiEchelonBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 15,"comment" : "SiftedVector: for mutable basis of Gaussian row space, and row vector","location" : {"line" : 1660,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SiftedVector"]},{"name" : "IteratorByBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 16,"comment" : "IteratorByBasis: for canonical basis of a full row module","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsBasis","IsCanonicalBasisFullRowModule","Tester(IsCanonicalBasisFullRowModule)"]]},{"rank" : 7,"comment" : "IteratorByBasis: for basis of a finite dimensional left module","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IteratorByBasis"]},{"name" : "Basis","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]],[["IsFreeLeftModule"],["IsHomogeneousList"]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},{"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "Basis: system getter","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(Basis)"]]},{"rank" : 10028,"comment" : "Basis: for a free module of sparse row space elements","location" : {"line" : 3140,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsSparseRowSpaceElement)"]]},{"rank" : 10028,"comment" : "Basis: for a space of monomial elements","location" : {"line" : 1721,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsMonomialElement)"]]},{"rank" : 2065,"comment" : "Basis: for abelian number field of cyclotomics (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 2058,"comment" : "Basis: for a finite field (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 2055,"comment" : "Basis: for an algebraic extension (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsAlgebraicExtension"]]},{"rank" : 2048,"comment" : "Basis: for full matrix module (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 2048,"comment" : "Basis: for full row module (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 2042,"comment" : "Basis: for Gaussian integers (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsGaussianIntegers"]]},{"rank" : 2041,"comment" : "Basis: for full s. c. algebra (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)","IsFullSCAlgebra","Tester(IsFullSCAlgebra)"]]},{"rank" : 2039,"comment" : "Basis: for integers (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"]]},{"rank" : 2036,"comment" : "Basis: for a free magma ring (delegate to `CanonicalBasis')","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 125,"comment" : "Basis: for full hom space of linear mappings","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 43,"comment" : "Basis: for an associative FLMLOR-with-one","location" : {"line" : 2892,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 42,"comment" : "Basis: for a Lie algebra","location" : {"line" : 2925,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : 38,"comment" : "Basis: for an associative FLMLOR","location" : {"line" : 2866,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 34,"comment" : "Basis: for a FLMLOR","location" : {"line" : 2837,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 30,"comment" : "Basis: for Gaussian matrix space (construct a semi-echelonized basis)","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]]},{"rank" : 30,"comment" : "Basis: for Gaussian row space (construct a semi-echelonized basis)","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 30,"comment" : "Basis: for trivial free left module","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","IsFreeLeftModule"]]},{"rank" : 28,"comment" : "Basis: for a space of weight rep elements","location" : {"line" : 3186,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsWeightRepElement)"]]},{"rank" : 28,"comment" : "Basis: for a space of algebra module elements","location" : {"line" : 842,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 26,"comment" : "Basis: for free module that is handled by a nice basis","location" : {"line" : 1077,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsHandledByNiceBasis"]],"aka" : ["BasisForFreeModuleByNiceBasis"]},{"rank" : 26,"comment" : "Basis","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsAttributeStoringRep","IsFreeLeftModule","Tester(CanonicalBasis)"]]},{"rank" : 25,"comment" : "Basis: for an algebra module","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","IsAlgebraModule","Tester(IsAlgebraModule)"]]}],"2args" : [{"rank" : 10048,"comment" : "Basis: for a space of monomial elements and a list of tensor elements","location" : {"line" : 1667,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsMonomialElement)"],["IsList","CategoryCollections(IsMonomialElement)"]]},{"rank" : 10032,"comment" : "Basis: for a free module of sparse row space elements, and list","location" : {"line" : 3106,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsSparseRowSpaceElement)"],["IsHomogeneousList"]]},{"rank" : 87,"comment" : "Basis: for a finite field, and a hom. list","location" : {"line" : 466,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","CategoryCollections(IsFFE)"]]},{"rank" : 60,"comment" : "Basis: for Gaussian row space and matrix (try semi-echelonized)","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 48,"comment" : "Basis: for a space of weight rep elements and a list of weight rep elements","location" : {"line" : 3147,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsWeightRepElement)"],["IsList","CategoryCollections(IsWeightRepElement)"]]},{"rank" : 48,"comment" : "Basis: for a space of algebra module elements and a collection of algebra module elements","location" : {"line" : 885,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsAlgebraModuleElement)"],["IsList","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 40,"comment" : "Basis: for free left module and empty list","location" : {"line" : 1312,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 34,"comment" : "Basis: for Gaussian matrix space and list of matrices (try semi-ech.)","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsHomogeneousList"]]},{"rank" : 30,"comment" : "Basis: for free module that is handled by a nice basis, and hom. list","location" : {"line" : 1111,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsHandledByNiceBasis"],["IsHomogeneousList"]]},{"rank" : 27,"comment" : "Basis: method returning a relative basis","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Basis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Basis): system setter","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Basis): default method, does nothing","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBasis"]},{"name" : "Tester(Basis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBasis"]},{"name" : "BasisNC","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsHomogeneousList"]]],"locations" : [{"line" : 639,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10048,"comment" : "BasisNC: for a space of monomial elements and a list of monomial elements","location" : {"line" : 1695,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsMonomialElement)"],["IsList","CategoryCollections(IsMonomialElement)"]]},{"rank" : 10032,"comment" : "BasisNC: for a free module of sparse row space elements, and list","location" : {"line" : 3121,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsSparseRowSpaceElement)"],["IsHomogeneousList"]]},{"rank" : 72,"comment" : "BasisNC: for a finite field, and a hom. list","location" : {"line" : 518,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsHomogeneousList"]]},{"rank" : 60,"comment" : "BasisNC: for Gaussian row space and matrix (try semi-echelonized)","location" : {"line" : 588,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 48,"comment" : "BasisNC: for a space of weight rep elements and a list of weight rep elements","location" : {"line" : 3165,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsWeightRepElement)"],["IsList","CategoryCollections(IsWeightRepElement)"]]},{"rank" : 48,"comment" : "BasisNC: for a space of algebra module elements and a collection of algebra module elements","location" : {"line" : 896,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsAlgebraModuleElement)"],["IsList","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 40,"comment" : "BasisNC: for free left module and empty list","location" : {"line" : 1331,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 34,"comment" : "BasisNC: for Gaussian matrix space and list of matrices (try semi-ech.)","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsHomogeneousList"]]},{"rank" : 30,"comment" : "BasisNC: for free module that is handled by a nice basis, and hom. list","location" : {"line" : 1134,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsHandledByNiceBasis"],["IsHomogeneousList"]]},{"rank" : 27,"comment" : "BasisNC: method returning a relative basis","location" : {"line" : 647,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BasisNC"]},{"name" : "SemiEchelonBasis","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]],[["IsFreeLeftModule"],["IsHomogeneousList"]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},{"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "SemiEchelonBasis: system getter","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemiEchelonBasis)"]]},{"rank" : 33,"comment" : "SemiEchelonBasis","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsAttributeStoringRep","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace","Tester(CanonicalBasis)"]]},{"rank" : 33,"comment" : "SemiEchelonBasis","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsAttributeStoringRep","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace","Tester(CanonicalBasis)"]]},{"rank" : 30,"comment" : "SemiEchelonBasis: for Gaussian matrix space","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]]},{"rank" : 30,"comment" : "SemiEchelonBasis: for Gaussian row space","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]}],"2args" : [{"rank" : 60,"comment" : "SemiEchelonBasis: for Gaussian row space and matrix","location" : {"line" : 668,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 40,"comment" : "SemiEchelonBasis: for free left module and empty list","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 34,"comment" : "SemiEchelonBasis: for Gaussian matrix space and list of matrices","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemiEchelonBasis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemiEchelonBasis): system setter","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemiEchelonBasis): default method, does nothing","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemiEchelonBasis"]},{"name" : "Tester(SemiEchelonBasis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemiEchelonBasis"]},{"name" : "SemiEchelonBasisNC","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsHomogeneousList"]]],"locations" : [{"line" : 697,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 60,"comment" : "SemiEchelonBasisNC: for Gaussian row space and matrix","location" : {"line" : 697,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 40,"comment" : "SemiEchelonBasisNC: for free left module and empty list","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 34,"comment" : "SemiEchelonBasisNC: for Gaussian matrix space and list of matrices","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemiEchelonBasisNC"]},{"name" : "RelativeBasis","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsHomogeneousList"]]],"locations" : [{"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "RelativeBasis: for a basis and a homogeneous list","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RelativeBasis"]},{"name" : "RelativeBasisNC","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsHomogeneousList"]]],"locations" : [{"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "RelativeBasisNC: for a basis and a homogeneous list","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasis"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RelativeBasisNC"]},{"name" : "NiceBasis","type" : "GAP_Operation","filters" : [[["IsBasisByNiceBasis"]]],"locations" : [{"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "NiceBasis: system getter","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceBasis)"]]},{"rank" : 13,"comment" : "NiceBasis: for basis by nice basis","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceBasis)","type" : "GAP_Operation","filters" : [[["IsBasisByNiceBasis"],[]]],"locations" : [{"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceBasis): system setter","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceBasis): default method, does nothing","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceBasis"]},{"name" : "Tester(NiceBasis)","type" : "GAP_Operation","filters" : [[["IsBasisByNiceBasis"]]],"locations" : [{"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceBasis"]},{"name" : "NiceBasisNC","type" : "GAP_Operation","filters" : [[["IsBasisByNiceBasis"]]],"locations" : [{"line" : 1083,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 14,"comment" : "NiceBasisNC: for basis by nice basis with precomputed basis","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis","Tester(NiceBasis)"]]},{"rank" : 13,"comment" : "NiceBasisNC: for basis by nice basis","location" : {"line" : 973,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsBasisByNiceBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NiceBasisNC"]},{"name" : "NiceFreeLeftModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "NiceFreeLeftModule: system getter","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceFreeLeftModule)"]]},{"rank" : 41,"comment" : "NiceFreeLeftModule: for associative FLMLOR that is handled by a nice basis","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 39,"comment" : "NiceFreeLeftModule: for commutative FLMLOR that is handled by a nice basis","location" : {"line" : 1238,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 39,"comment" : "NiceFreeLeftModule: for anticommutative FLMLOR that is handled by a nice basis","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsAnticommutative","Tester(IsAnticommutative)","IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 37,"comment" : "NiceFreeLeftModule: for FLMLOR that is handled by a nice basis","location" : {"line" : 1223,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 36,"comment" : "NiceFreeLeftModule: for full hom space of linear mappings","location" : {"line" : 1973,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule","IsFullHomModule","Tester(IsFullHomModule)"]]},{"rank" : 27,"comment" : "NiceFreeLeftModule: for free module that is handled by a nice basis","location" : {"line" : 1167,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsHandledByNiceBasis","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : 27,"comment" : "NiceFreeLeftModule: for generic finite space (use that this is a full row module)","location" : {"line" : 825,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsGenericFiniteSpace"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceFreeLeftModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceFreeLeftModule): system setter","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceFreeLeftModule): default method, does nothing","location" : {"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceFreeLeftModule"]},{"name" : "Tester(NiceFreeLeftModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 1102,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceFreeLeftModule"]},{"name" : "NiceFreeLeftModuleInfo","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule","IsHandledByNiceBasis"]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "NiceFreeLeftModuleInfo: system getter","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceFreeLeftModuleInfo)"]]},{"rank" : 29,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsLinearMappingsModule'","location" : {"line" : 1715,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule","IsLinearMappingsModule"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsClassFunctionsSpace'","location" : {"line" : 4895,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsFreeLeftModule","IsClassFunctionsSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsFieldElementsSpace'","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFreeLeftModule","IsFieldElementsSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsCochainsSpace'","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","IsCochainsSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsDirectSumElementsSpace'","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFreeLeftModule","IsDirectSumElementsSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsLieObjectsModule'","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFreeLeftModule","IsLieObjectsModule"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsSCAlgebraObjSpace'","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsFreeLeftModule","IsSCAlgebraObjSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfUEAElements'","location" : {"line" : 3639,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfUEAElements"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsFpAlgebraElementsSpace'","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsFreeLeftModule","IsFpAlgebraElementsSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfElementsOfMagmaRing'","location" : {"line" : 1483,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfElementsOfMagmaRing"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsNonGaussianMatrixSpace'","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianMatrixSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsNonGaussianRowSpace'","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianRowSpace"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfRationalFunctions'","location" : {"line" : 928,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfRationalFunctions"]]},{"rank" : 27,"comment" : "NiceFreeLeftModuleInfo: for left module in `IsGenericFiniteSpace'","location" : {"line" : 811,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsGenericFiniteSpace"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceFreeLeftModuleInfo)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule","IsHandledByNiceBasis"],[]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceFreeLeftModuleInfo): system setter","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceFreeLeftModuleInfo): default method, does nothing","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceFreeLeftModuleInfo"]},{"name" : "Tester(NiceFreeLeftModuleInfo)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule","IsHandledByNiceBasis"]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceFreeLeftModuleInfo"]},{"name" : "NiceVector","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule","IsHandledByNiceBasis"],[]]],"locations" : [{"line" : 1159,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "NiceVector: for left module in `IsLinearMappingsModule', and object","location" : {"line" : 1715,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule","IsLinearMappingsModule"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsClassFunctionsSpace', and object","location" : {"line" : 4895,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsFreeLeftModule","IsClassFunctionsSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsFieldElementsSpace', and object","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFreeLeftModule","IsFieldElementsSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsCochainsSpace', and object","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","IsCochainsSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsDirectSumElementsSpace', and object","location" : {"line" : 3381,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","IsDirectSumElementsSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsLieObjectsModule', and object","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsFreeLeftModule","IsLieObjectsModule"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsSCAlgebraObjSpace', and object","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsFreeLeftModule","IsSCAlgebraObjSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsSpaceOfUEAElements', and object","location" : {"line" : 3639,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfUEAElements"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsFpAlgebraElementsSpace', and object","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsFreeLeftModule","IsFpAlgebraElementsSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsSpaceOfElementsOfMagmaRing', and object","location" : {"line" : 1483,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfElementsOfMagmaRing"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsNonGaussianMatrixSpace', and object","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianMatrixSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsNonGaussianRowSpace', and object","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianRowSpace"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsSpaceOfRationalFunctions', and object","location" : {"line" : 928,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfRationalFunctions"],[]]},{"rank" : 27,"comment" : "NiceVector: for left module in `IsGenericFiniteSpace', and object","location" : {"line" : 811,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsGenericFiniteSpace"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NiceVector"]},{"name" : "UglyVector","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule","IsHandledByNiceBasis"],[]]],"locations" : [{"line" : 1162,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "UglyVector: for left module in `IsLinearMappingsModule', and object","location" : {"line" : 1715,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule","IsLinearMappingsModule"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsClassFunctionsSpace', and object","location" : {"line" : 4895,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsFreeLeftModule","IsClassFunctionsSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsFieldElementsSpace', and object","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFreeLeftModule","IsFieldElementsSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsCochainsSpace', and object","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsFreeLeftModule","IsCochainsSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsDirectSumElementsSpace', and object","location" : {"line" : 3381,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","IsDirectSumElementsSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsLieObjectsModule', and object","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsFreeLeftModule","IsLieObjectsModule"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsSCAlgebraObjSpace', and object","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsFreeLeftModule","IsSCAlgebraObjSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsSpaceOfUEAElements', and object","location" : {"line" : 3639,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfUEAElements"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsFpAlgebraElementsSpace', and object","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsFreeLeftModule","IsFpAlgebraElementsSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsSpaceOfElementsOfMagmaRing', and object","location" : {"line" : 1483,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfElementsOfMagmaRing"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsNonGaussianMatrixSpace', and object","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianMatrixSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsNonGaussianRowSpace', and object","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsFreeLeftModule","IsNonGaussianRowSpace"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsSpaceOfRationalFunctions', and object","location" : {"line" : 928,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsSpaceOfRationalFunctions"],[]]},{"rank" : 27,"comment" : "UglyVector: for left module in `IsGenericFiniteSpace', and object","location" : {"line" : 811,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsGenericFiniteSpace"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UglyVector"]},{"name" : "MutableBasis","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "MutableBasis: to construct a mutable basis of a Lie matrix space","location" : {"line" : 903,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["CategoryCollections(IsLieObject)"]]},{"rank" : 56,"comment" : "MutableBasis: method to construct mutable bases of row spaces","location" : {"line" : 1429,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 42,"comment" : "MutableBasis: for ring and collection of Lie elements","location" : {"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsLieObject)"]],"aka" : ["MutableBasisViaNiceMutableBasisMethod2"]},{"rank" : 42,"comment" : "MutableBasis: for ring and collection of s. c. algebra elements","location" : {"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsSCAlgebraObj)"]]},{"rank" : 39,"comment" : "MutableBasis: for ring and vectors","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 28,"comment" : "MutableBasis: to construct mutable bases of Gaussian matrix spaces","location" : {"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]},{"rank" : 28,"comment" : "MutableBasis: generic method for ring and collection","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [{"rank" : 60,"comment" : "MutableBasis: to construct mutable bases of matrix spaces","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 40,"comment" : "MutableBasis: method to construct mutable bases of row spaces","location" : {"line" : 1471,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 39,"comment" : "MutableBasis: for ring, (possibly empty) list, and Lie zero","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsLieObject"]],"aka" : ["MutableBasisViaNiceMutableBasisMethod3"]},{"rank" : 39,"comment" : "MutableBasis: for ring, (possibly empty) list, and zero element","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsSCAlgebraObj"]]},{"rank" : 36,"comment" : "MutableBasis: for ring, list and zero","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsAlgebraModuleElement"]]},{"rank" : 28,"comment" : "MutableBasis: generic method for ring, list, and object","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MutableBasis"]},{"name" : "NrBasisVectors","type" : "GAP_Operation","filters" : [[["IsMutableBasis"]]],"locations" : [{"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "NrBasisVectors: for mutable basis represented by a nice mutable basis","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"]]},{"rank" : 1,"comment" : "NrBasisVectors: generic method for mutable basis","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NrBasisVectors"]},{"name" : "ImmutableBasis","type" : "GAP_Operation","filters" : [[["IsMutableBasis"]],[["IsMutableBasis"],["IsFreeLeftModule"]]],"locations" : [{"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"},{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "ImmutableBasis: for a mutable basis of a Gaussian matrix space","location" : {"line" : 1174,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"]]},{"rank" : 3,"comment" : "ImmutableBasis: for a mutable basis of a Gaussian row space","location" : {"line" : 1643,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"]]},{"rank" : 3,"comment" : "ImmutableBasis: for mutable basis represented by a nice mutable basis","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"]]},{"rank" : 3,"comment" : "ImmutableBasis: for mutable basis represented by an immutable basis","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisByImmutableBasisRep"]]}],"2args" : [{"rank" : 24,"comment" : "ImmutableBasis: for mutable basis, and free left module","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis"],["IsFreeLeftModule"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImmutableBasis"]},{"name" : "CloseMutableBasis","type" : "GAP_Operation","filters" : [[["IsMutable","IsMutableBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 35,"comment" : "CloseMutableBasis: for a mut. basis of a Gaussian matrix space, and a matrix","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 17,"comment" : "CloseMutableBasis: for a mut. basis of a Gaussian row space, and a row vector","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 12,"comment" : "CloseMutableBasis: for mutable basis with underlying mutable basis, and vector","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisViaUnderlyingMutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 12,"comment" : "CloseMutableBasis: for mutable basis repres. by a nice mutable basis, and vector","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 12,"comment" : "CloseMutableBasis: for mutable basis represented by an immutable basis, and vector","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisByImmutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CloseMutableBasis"]},{"name" : "IsContainedInSpan","type" : "GAP_Operation","filters" : [[["IsMutableBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "IsContainedInSpan: for a mut. basis of a Gaussian matrix space, and a matrix","location" : {"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianMatrixSpaceRep"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 15,"comment" : "IsContainedInSpan: for a mut. basis of a Gaussian row space, and a row vector","location" : {"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsMutableBasis","IsMutableBasisOfGaussianRowSpaceRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 12,"comment" : "IsContainedInSpan: for mutable basis with underlying mutable basis, and vector","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMutable","IsMutableBasis","IsMutableBasisViaUnderlyingMutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 10,"comment" : "IsContainedInSpan: for mutable basis repres. by a nice mutable basis, and vector","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisViaNiceMutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]},{"rank" : 10,"comment" : "IsContainedInSpan: for mutable basis represented by an immutable basis, and vector","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/basismut.gi"},"filters" : [["IsMutableBasis","IsMutableBasisByImmutableBasisRep"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsContainedInSpan"]},{"name" : "CanonicalBasis","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "CanonicalBasis: system getter","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalBasis)"]]},{"rank" : 69,"comment" : "CanonicalBasis: for Rationals","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 67,"comment" : "CanonicalBasis: for cyclotomic field of cyclotomics","location" : {"line" : 1568,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"]]},{"rank" : 65,"comment" : "CanonicalBasis: for abelian number field of cyclotomics","location" : {"line" : 1322,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 58,"comment" : "CanonicalBasis: for a finite field","location" : {"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 55,"comment" : "CanonicalBasis: for an algebraic extension","location" : {"line" : 955,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtension"]]},{"rank" : 51,"comment" : "CanonicalBasis: for a full row space","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 48,"comment" : "CanonicalBasis: for full matrix space","location" : {"line" : 802,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "CanonicalBasis","location" : {"line" : 293,"file" : "\/home\/makx\/ac\/gap\/lib\/modulmat.gi"},"filters" : [["IsFreeLeftModule","IsFullMatrixModule","Tester(IsFullMatrixModule)"]]},{"rank" : 48,"comment" : "CanonicalBasis: for a full row module","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/lib\/modulrow.gi"},"filters" : [["IsFreeLeftModule","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 42,"comment" : "CanonicalBasis: for Gaussian integers","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/gaussian.gi"},"filters" : [["IsGaussianIntegers"]]},{"rank" : 41,"comment" : "CanonicalBasis: for full s. c. algebras","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)","IsFullSCAlgebra","Tester(IsFullSCAlgebra)"]]},{"rank" : 39,"comment" : "CanonicalBasis: for Integers","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsIntegers"]]},{"rank" : 36,"comment" : "CanonicalBasis: for a free magma ring","location" : {"line" : 920,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]},{"rank" : 31,"comment" : "CanonicalBasis: for Gaussian row space with known semi-ech. basis","location" : {"line" : 1028,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","Tester(SemiEchelonBasis)","IsGaussianSpace"]]},{"rank" : 30,"comment" : "CanonicalBasis: for algebra module","location" : {"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","CategoryCollections(IsAlgebraModuleElement)"]]},{"rank" : 30,"comment" : "CanonicalBasis: for Gaussian matrix space","location" : {"line" : 730,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]]},{"rank" : 30,"comment" : "CanonicalBasis: for Gaussian row space","location" : {"line" : 1089,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]},{"rank" : 26,"comment" : "CanonicalBasis: for free module that is handled by a nice basis","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule","IsHandledByNiceBasis"]]},{"rank" : 23,"comment" : "CanonicalBasis: default method, return `fail'","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/basis.gi"},"filters" : [["IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalBasis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],[]]],"locations" : [{"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalBasis): system setter","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalBasis): default method, does nothing","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalBasis"]},{"name" : "Tester(CanonicalBasis)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalBasis"]},{"name" : "NormedRowVectors","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"]]],"locations" : [{"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "NormedRowVectors: system getter","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormedRowVectors)"]]},{"rank" : 30,"comment" : "NormedRowVectors: for Gaussian row space","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormedRowVectors)","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"],[]]],"locations" : [{"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormedRowVectors): system setter","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormedRowVectors): default method, does nothing","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormedRowVectors"]},{"name" : "Tester(NormedRowVectors)","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"]]],"locations" : [{"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormedRowVectors"]},{"name" : "AsSubspace","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsCollection"]]],"locations" : [{"line" : 586,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "AsSubspace: for a vector space and a collection","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubspace"]},{"name" : "Subspaces","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]],[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "Subspaces: system getter","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep","Tester(Subspaces)"]]},{"rank" : 51,"comment" : "Subspaces","location" : {"line" : 1370,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 25,"comment" : "Subspaces: for a vector space","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : -44,"comment" : "Subspaces: default method requiring categories and checking properties","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [{"rank" : 69,"comment" : "Subspaces: for (Gaussian) full row space","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFullRowModule","Tester(IsFullRowModule)"],["IsInt"]]},{"rank" : 56,"comment" : "Subspaces: for (Gaussian) full row space","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFullRowModule","Tester(IsFullRowModule)"],["IsString"]]},{"rank" : 43,"comment" : "Subspaces: for a vector space, and an integer","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Subspaces)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],[]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Subspaces): system setter","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Subspaces): default method, does nothing","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubspaces"]},{"name" : "Tester(Subspaces)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubspaces"]},{"name" : "OrthogonalSpaceInFullRowSpace","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"]]],"locations" : [{"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "OrthogonalSpaceInFullRowSpace: system getter","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrthogonalSpaceInFullRowSpace)"]]},{"rank" : 30,"comment" : "OrthogonalSpaceInFullRowSpace: dual space for Gaussian row space","location" : {"line" : 1914,"file" : "\/home\/makx\/ac\/gap\/lib\/vspcrow.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrthogonalSpaceInFullRowSpace)","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"],[]]],"locations" : [{"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrthogonalSpaceInFullRowSpace): system setter","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrthogonalSpaceInFullRowSpace): default method, does nothing","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrthogonalSpaceInFullRowSpace"]},{"name" : "Tester(OrthogonalSpaceInFullRowSpace)","type" : "GAP_Operation","filters" : [[["IsGaussianSpace"]]],"locations" : [{"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrthogonalSpaceInFullRowSpace"]},{"name" : "IsVectorSpaceHomomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsVectorSpaceHomomorphism: system getter","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsVectorSpaceHomomorphism)"]]},{"rank" : 7,"comment" : "IsVectorSpaceHomomorphism","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsVectorSpaceHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],["IsBool"]]],"locations" : [{"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsVectorSpaceHomomorphism): system setter","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsVectorSpaceHomomorphism): default method, does nothing","location" : {"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsVectorSpaceHomomorphism"]},{"name" : "Tester(IsVectorSpaceHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 816,"file" : "\/home\/makx\/ac\/gap\/lib\/vspc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LeftModuleGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 54,"comment" : "LeftModuleGeneralMappingByImages: for two free left modules and two homogeneous lists","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["LeftModuleGeneralMappingByImages"]},{"name" : "LeftModuleHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsList"],["IsList"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 50,"comment" : "LeftModuleHomomorphismByImagesNC: for two left modules and two lists","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"],["IsList"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["LeftModuleHomomorphismByImagesNC"]},{"name" : "AsLeftModuleGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "AsLeftModuleGeneralMappingByImages: system getter","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsLeftModuleGeneralMappingByImages)"]]},{"rank" : 25,"comment" : "AsLeftModuleGeneralMappingByImages: for an algebra general mapping by images","location" : {"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep"]]},{"rank" : 23,"comment" : "AsLeftModuleGeneralMappingByImages: for a linear g.m.b.i.","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsLinearGeneralMappingByImagesDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsLeftModuleGeneralMappingByImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsLeftModuleGeneralMappingByImages): system setter","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsLeftModuleGeneralMappingByImages): default method, does nothing","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsLeftModuleGeneralMappingByImages"]},{"name" : "Tester(AsLeftModuleGeneralMappingByImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsLeftModuleGeneralMappingByImages"]},{"name" : "LeftModuleHomomorphismByMatrix","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsBasis"]]],"locations" : [{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 44,"comment" : "LeftModuleHomomorphismByMatrix: for two bases of free left modules and a matrix","location" : {"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsBasis"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsBasis"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftModuleHomomorphismByMatrix"]},{"name" : "NaturalHomomorphismBySubspace","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10053,"comment" : "NaturalHomomorphismBySubspace: for left module and trivial left module","location" : {"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule"],["IsTrivial","Tester(IsTrivial)","IsFreeLeftModule"]]},{"rank" : 46,"comment" : "NaturalHomomorphismBySubspace: for two finite dimensional free left modules","location" : {"line" : 1378,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"]],"aka" : ["NaturalHomomorphismBySubspaceOntoFullRowSpace"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismBySubspace"]},{"name" : "IsFullHomModule","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsFullHomModule: system getter","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullHomModule)"]]},{"rank" : 34,"comment" : "IsFullHomModule: for space of linear mappings","location" : {"line" : 1853,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullHomModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsBool"]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullHomModule): system setter","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullHomModule): default method, does nothing","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullHomModule"]},{"name" : "Tester(IsFullHomModule)","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPseudoCanonicalBasisFullHomModule","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsPseudoCanonicalBasisFullHomModule: system getter","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPseudoCanonicalBasisFullHomModule)"]]},{"rank" : 7,"comment" : "IsPseudoCanonicalBasisFullHomModule: for a basis of a full hom module","location" : {"line" : 2053,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPseudoCanonicalBasisFullHomModule)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPseudoCanonicalBasisFullHomModule): system setter","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPseudoCanonicalBasisFullHomModule): default method, does nothing","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPseudoCanonicalBasisFullHomModule"]},{"name" : "Tester(IsPseudoCanonicalBasisFullHomModule)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Hom","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 98,"comment" : "Hom: for division ring and two free left modules","location" : {"line" : 2182,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFreeLeftModule"],["IsFreeLeftModule"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Hom"]},{"name" : "End","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "End: for division ring and space of linear mappings","location" : {"line" : 2229,"file" : "\/home\/makx\/ac\/gap\/lib\/vspchom.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFreeLeftModule"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["End"]},{"name" : "ScalarProduct","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]],[["IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]],[["IsRowVectorObj"],["IsRowVectorObj"]],[["IsCharacterTable"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gd"},{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gd"},{"line" : 260,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 62,"comment" : "ScalarProduct: for two class functions","location" : {"line" : 1617,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsClassFunction"]]},{"rank" : 24,"comment" : "ScalarProduct: method for two row vectors","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gi"},"filters" : [["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 18,"comment" : "ScalarProduct: generic method","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsRowVectorObj"],["IsRowVectorObj"]]}],"3args" : [{"rank" : 85,"comment" : "ScalarProduct: for left module of class functions, and two class functions","location" : {"line" : 4916,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsFreeLeftModule"],["IsClassFunction"],["IsClassFunction"]]},{"rank" : 45,"comment" : "ScalarProduct: for character table and two homogeneous lists","location" : {"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]]},{"rank" : 35,"comment" : "ScalarProduct: for module of class functions, and two values lists","location" : {"line" : 4931,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsFreeLeftModule","IsClassFunctionsSpace"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ScalarProduct"]},{"name" : "Decomposition","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsList"],[]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 32,"comment" : "Decomposition: for a matrix of cyclotomics, a vector and a depth","location" : {"line" : 584,"file" : "\/home\/makx\/ac\/gap\/lib\/zlattice.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Decomposition"]},{"name" : "IsSimpleAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "IsSimpleAlgebra: system getter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSimpleAlgebra)"]]},{"rank" : 42,"comment" : "IsSimpleAlgebra: for a Lie algebra in characteristic zero","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : 36,"comment" : "IsSimpleAlgebra: for an associative algebra","location" : {"line" : 3701,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "IsSimpleAlgebra: default method requiring categories and checking properties","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSimpleAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsBool"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSimpleAlgebra): system setter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSimpleAlgebra): default method, does nothing","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSimpleAlgebra"]},{"name" : "Tester(IsSimpleAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GeneratorsOfLeftOperatorRing","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20032,"comment" : "GeneratorsOfLeftOperatorRing: system getter","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfLeftOperatorRing)"]]},{"rank" : 62,"comment" : "GeneratorsOfLeftOperatorRing: for FLMLOR with known right ideal generators","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRightIdeal)","IsFreeLeftModule"]]},{"rank" : 62,"comment" : "GeneratorsOfLeftOperatorRing: for FLMLOR with known left ideal generators","location" : {"line" : 440,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfLeftIdeal)","IsFreeLeftModule"]]},{"rank" : 37,"comment" : "GeneratorsOfLeftOperatorRing: for a FLMLOR-with-one","location" : {"line" : 3002,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 35,"comment" : "GeneratorsOfLeftOperatorRing: for FLMLOR with known ideal generators","location" : {"line" : 431,"file" : "\/home\/makx\/ac\/gap\/lib\/idealalg.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfTwoSidedIdeal)","IsFreeLeftModule"]]},{"rank" : 35,"comment" : "GeneratorsOfLeftOperatorRing: for a FLMLOR with known left module generators","location" : {"line" : 3012,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : -31,"comment" : "GeneratorsOfLeftOperatorRing: default method requiring categories and checking properties","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfLeftOperatorRing)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfLeftOperatorRing): system setter","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfLeftOperatorRing): default method, does nothing","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAlgebra","SetGeneratorsOfFLMLOR","SetGeneratorsOfLeftOperatorRing"]},{"name" : "Tester(GeneratorsOfLeftOperatorRing)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAlgebra","HasGeneratorsOfFLMLOR","HasGeneratorsOfLeftOperatorRing"]},{"name" : "GeneratorsOfLeftOperatorRingWithOne","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "GeneratorsOfLeftOperatorRingWithOne: system getter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfLeftOperatorRingWithOne)"]]},{"rank" : 38,"comment" : "GeneratorsOfLeftOperatorRingWithOne: for a FLMLOR-with-one with known left module generators","location" : {"line" : 3022,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]]},{"rank" : -42,"comment" : "GeneratorsOfLeftOperatorRingWithOne: default method requiring categories and checking properties","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfLeftOperatorRingWithOne)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfLeftOperatorRingWithOne): system setter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfLeftOperatorRingWithOne): default method, does nothing","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAlgebraWithOne","SetGeneratorsOfFLMLORWithOne","SetGeneratorsOfLeftOperatorRingWithOne"]},{"name" : "Tester(GeneratorsOfLeftOperatorRingWithOne)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAlgebraWithOne","HasGeneratorsOfFLMLORWithOne","HasGeneratorsOfLeftOperatorRingWithOne"]},{"name" : "PowerSubalgebraSeries","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "PowerSubalgebraSeries: system getter","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(PowerSubalgebraSeries)"]]},{"rank" : 36,"comment" : "PowerSubalgebraSeries: for an algebra","location" : {"line" : 2949,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "PowerSubalgebraSeries: default method requiring categories and checking properties","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PowerSubalgebraSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PowerSubalgebraSeries): system setter","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PowerSubalgebraSeries): default method, does nothing","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPowerSubalgebraSeries"]},{"name" : "Tester(PowerSubalgebraSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPowerSubalgebraSeries"]},{"name" : "AdjointBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "AdjointBasis: system getter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdjointBasis)"]]},{"rank" : 7,"comment" : "AdjointBasis: for a basis of a Lie algebra","location" : {"line" : 941,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdjointBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdjointBasis): system setter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdjointBasis): default method, does nothing","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdjointBasis"]},{"name" : "Tester(AdjointBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdjointBasis"]},{"name" : "IndicesOfAdjointBasis","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IndicesOfAdjointBasis: system getter","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesOfAdjointBasis)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesOfAdjointBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesOfAdjointBasis): system setter","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesOfAdjointBasis): default method, does nothing","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesOfAdjointBasis"]},{"name" : "Tester(IndicesOfAdjointBasis)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesOfAdjointBasis"]},{"name" : "RadicalOfAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "RadicalOfAlgebra: system getter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(RadicalOfAlgebra)"]]},{"rank" : 49,"comment" : "RadicalOfAlgebra: for associative Gaussian matrix algebra","location" : {"line" : 984,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]]},{"rank" : 36,"comment" : "RadicalOfAlgebra: for an associative algebra","location" : {"line" : 2776,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "RadicalOfAlgebra: default method requiring categories and checking properties","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RadicalOfAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RadicalOfAlgebra): system setter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RadicalOfAlgebra): default method, does nothing","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRadicalOfAlgebra"]},{"name" : "Tester(RadicalOfAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRadicalOfAlgebra"]},{"name" : "DirectSumDecomposition","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "DirectSumDecomposition: system getter","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(DirectSumDecomposition)"]]},{"rank" : 42,"comment" : "DirectSumDecomposition: for a Lie algebra","location" : {"line" : 2148,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : 40,"comment" : "DirectSumDecomposition: for semisimple associative algebras","location" : {"line" : 3943,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "DirectSumDecomposition: default method requiring categories and checking properties","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DirectSumDecomposition)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DirectSumDecomposition): system setter","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DirectSumDecomposition): default method, does nothing","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDirectSumDecomposition"]},{"name" : "Tester(DirectSumDecomposition)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDirectSumDecomposition"]},{"name" : "NullAlgebra","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "NullAlgebra: system getter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(NullAlgebra)"]]},{"rank" : 26,"comment" : "NullAlgebra: for a ring","location" : {"line" : 1544,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -14,"comment" : "NullAlgebra: default method requiring categories and checking properties","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NullAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NullAlgebra): system setter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NullAlgebra): default method, does nothing","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNullAlgebra"]},{"name" : "Tester(NullAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNullAlgebra"]},{"name" : "ProductSpace","type" : "GAP_Operation","filters" : [[["IsFreeLeftModule"],["IsFreeLeftModule"]]],"locations" : [{"line" : 553,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 86,"comment" : "ProductSpace: for two ideals with same parent","location" : {"line" : 2695,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["Tester(ParentAttr)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsTwoSidedIdealInParent","Tester(IsTwoSidedIdealInParent)"],["Tester(ParentAttr)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsTwoSidedIdealInParent","Tester(IsTwoSidedIdealInParent)"]]},{"rank" : 72,"comment" : "ProductSpace: for two algebras","location" : {"line" : 2667,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 46,"comment" : "ProductSpace: for two free left modules","location" : {"line" : 2622,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsFreeLeftModule"],["IsFreeLeftModule"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProductSpace"]},{"name" : "DirectSumOfAlgebras","type" : "GAP_Operation","filters" : [[["IsDenseList"]]],"locations" : [{"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "DirectSumOfAlgebras: for list of algebras","location" : {"line" : 3239,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsDenseList"]]}],"2args" : [{"rank" : 104,"comment" : "DirectSumOfAlgebras: for two matrix Lie FLMLORs","location" : {"line" : 1435,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsFreeLeftModule"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsFreeLeftModule"]]},{"rank" : 96,"comment" : "DirectSumOfAlgebras: for two associative matrix FLMLORs","location" : {"line" : 1371,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 72,"comment" : "DirectSumOfAlgebras: for two algebras","location" : {"line" : 3209,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectSumOfAlgebras"]},{"name" : "AsFLMLOR","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 86,"comment" : "AsFLMLOR: for a division ring and an algebra","location" : {"line" : 1293,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 75,"comment" : "AsFLMLOR: for a division ring and a free left module","location" : {"line" : 1239,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFreeLeftModule"]]},{"rank" : 28,"comment" : "AsFLMLOR: for a ring and a collection","location" : {"line" : 1172,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsAlgebra","AsFLMLOR"]},{"name" : "AsFLMLORWithOne","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 89,"comment" : "AsFLMLORWithOne: for a division ring and a algebra-with-one","location" : {"line" : 1484,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 86,"comment" : "AsFLMLORWithOne: for a division ring and an algebra","location" : {"line" : 1436,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 75,"comment" : "AsFLMLORWithOne: for a division ring and a free left module","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFreeLeftModule"]]},{"rank" : 28,"comment" : "AsFLMLORWithOne: for a ring and a collection","location" : {"line" : 1305,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsAlgebraWithOne","AsFLMLORWithOne"]},{"name" : "AsSubFLMLOR","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 699,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "AsSubFLMLOR: for an algebra and an algebra-with-one","location" : {"line" : 2182,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 72,"comment" : "AsSubFLMLOR: for two algebras","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubFLMLOR","AsSubalgebra"]},{"name" : "AsSubFLMLORWithOne","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "AsSubFLMLORWithOne: for an algebra and a algebra-with-one","location" : {"line" : 2233,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 72,"comment" : "AsSubFLMLORWithOne: for two algebras","location" : {"line" : 2210,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsSubFLMLORWithOne","AsSubalgebraWithOne"]},{"name" : "ClosureLeftOperatorRing","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 982,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10044,"comment" : "ClosureLeftOperatorRing: for a FLMLOR containing the whole family, and a ring element","location" : {"line" : 1573,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 10033,"comment" : "ClosureLeftOperatorRing: for a left op. ring cont. the whole family, and a collection","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]},{"rank" : 64,"comment" : "ClosureLeftOperatorRing: for two left operator rings-with-one","location" : {"line" : 1604,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 58,"comment" : "ClosureLeftOperatorRing: for two left operator rings","location" : {"line" : 1591,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 46,"comment" : "ClosureLeftOperatorRing: for a FLMLOR-with-one with basis, and a ring element","location" : {"line" : 1564,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(Basis)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 45,"comment" : "ClosureLeftOperatorRing: for a FLMLOR-with-one and a ring element","location" : {"line" : 1546,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 43,"comment" : "ClosureLeftOperatorRing: for an FLMLOR with basis, and a ring element","location" : {"line" : 1528,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","Tester(Basis)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 42,"comment" : "ClosureLeftOperatorRing: for a FLMLOR and a ring element","location" : {"line" : 1509,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 31,"comment" : "ClosureLeftOperatorRing: for left operator ring and list of elements","location" : {"line" : 1630,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureAlgebra","ClosureLeftOperatorRing"]},{"name" : "FLMLORByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 1163,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 441,"comment" : "FLMLORByGenerators: for a field, and a collection of FFE","location" : {"line" : 1109,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["CategoryCollections(IsFFE)"]],"aka" : ["FLMLORFromFFE"]},{"rank" : 75,"comment" : "FLMLORByGenerators: for division ring and list of Lie matrices over it","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","CategoryCollections(IsLieObject)"]]},{"rank" : 57,"comment" : "FLMLORByGenerators: for division ring and list of ordinary matrices over it","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsCollection"]]},{"rank" : 28,"comment" : "FLMLORByGenerators: for ring and collection","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [{"rank" : 109,"comment" : "FLMLORByGenerators: for division ring, list of Lie matrices over it, and Lie matrix","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","CategoryCollections(IsLieObject)"],["IsLieMatrix","IsLieObject"]]},{"rank" : 103,"comment" : "FLMLORByGenerators: for division ring, empty list, and Lie matrix","location" : {"line" : 370,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsLieMatrix","IsLieObject"]]},{"rank" : 101,"comment" : "FLMLORByGenerators: for division ring, empty list, and square ordinary matrix","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsOrdinaryMatrix"]]},{"rank" : 89,"comment" : "FLMLORByGenerators: for division ring, list of matrices over it, and ordinary matrix","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsCollection"],["IsOrdinaryMatrix"]]},{"rank" : 38,"comment" : "FLMLORByGenerators: for ring, homogeneous list, and ring element","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AlgebraByGenerators","FLMLORByGenerators"]},{"name" : "FLMLORWithOneByGenerators","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 441,"comment" : "FLMLORWithOneByGenerators: for a field, and a collection of FFE","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["CategoryCollections(IsFFE)"]]},{"rank" : 57,"comment" : "FLMLORWithOneByGenerators: for division ring and list of ordinary matrices over it","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsCollection"]]},{"rank" : 28,"comment" : "FLMLORWithOneByGenerators: for ring and collection","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsCollection"]]}],"3args" : [{"rank" : 101,"comment" : "FLMLORWithOneByGenerators: for division ring, empty list, and square ordinary matrix","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsOrdinaryMatrix"]]},{"rank" : 89,"comment" : "FLMLORWithOneByGenerators: for division ring, list of matrices over it, and ordinary matrix","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsCollection"],["IsOrdinaryMatrix"]]},{"rank" : 38,"comment" : "FLMLORWithOneByGenerators: for ring, homogeneous list, and ring element","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AlgebraWithOneByGenerators","FLMLORWithOneByGenerators"]},{"name" : "LieAlgebraByDomain","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "LieAlgebraByDomain: system getter","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieAlgebraByDomain)"]]},{"rank" : 36,"comment" : "LieAlgebraByDomain: for an algebra","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "LieAlgebraByDomain: default method requiring categories and checking properties","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieAlgebraByDomain)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieAlgebraByDomain): system setter","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieAlgebraByDomain): default method, does nothing","location" : {"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieAlgebraByDomain"]},{"name" : "Tester(LieAlgebraByDomain)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 1460,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieAlgebraByDomain"]},{"name" : "AsLieAlgebra","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]],"locations" : [{"line" : 1475,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsLieAlgebra"]},{"name" : "LeviMalcevDecomposition","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "LeviMalcevDecomposition: system getter","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeviMalcevDecomposition)"]]},{"rank" : 36,"comment" : "LeviMalcevDecomposition: for an associative or a Lie algebra","location" : {"line" : 3925,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "LeviMalcevDecomposition: default method requiring categories and checking properties","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeviMalcevDecomposition)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeviMalcevDecomposition): system setter","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeviMalcevDecomposition): default method, does nothing","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeviMalcevDecomposition"]},{"name" : "Tester(LeviMalcevDecomposition)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeviMalcevDecomposition"]},{"name" : "IsNilpotentElement","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 2101,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "IsNilpotentElement: for an algebra, and an element","location" : {"line" : 2991,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLieNilpotentElement","IsNilpotentElement"]},{"name" : "Grading","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "Grading: system getter","location" : {"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep","Tester(Grading)"]]},{"rank" : -55,"comment" : "Grading: default method requiring categories and checking properties","location" : {"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Grading)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Grading): system setter","location" : {"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Grading): default method, does nothing","location" : {"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGrading"]},{"name" : "Tester(Grading)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 2178,"file" : "\/home\/makx\/ac\/gap\/lib\/algebra.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGrading"]},{"name" : "CoefficientsAndMagmaElements","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "CoefficientsAndMagmaElements: system getter","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsAndMagmaElements)"]]},{"rank" : 13,"comment" : "CoefficientsAndMagmaElements: for magma ring element in default repr.","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations","IsMagmaRingObjDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsAndMagmaElements)","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"],[]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsAndMagmaElements): system setter","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsAndMagmaElements): default method, does nothing","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsAndMagmaElements"]},{"name" : "Tester(CoefficientsAndMagmaElements)","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsAndMagmaElements"]},{"name" : "ZeroCoefficient","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "ZeroCoefficient: system getter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep","Tester(ZeroCoefficient)"]]},{"rank" : 13,"comment" : "ZeroCoefficient: for magma ring element in default repr.","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloRelations","IsMagmaRingObjDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ZeroCoefficient)","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"],[]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ZeroCoefficient): system setter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ZeroCoefficient): default method, does nothing","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetZeroCoefficient"]},{"name" : "Tester(ZeroCoefficient)","type" : "GAP_Operation","filters" : [[["IsElementOfMagmaRingModuloRelations"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasZeroCoefficient"]},{"name" : "NormalizedElementOfMagmaRingModuloRelations","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfMagmaRingModuloRelations)"],["IsList"]]],"locations" : [{"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "NormalizedElementOfMagmaRingModuloRelations: for family of free Lie algebra elements, and list","location" : {"line" : 3979,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsFamilyElementOfFreeLieAlgebra"],["IsList"]]},{"rank" : 7,"comment" : "NormalizedElementOfMagmaRingModuloRelations: for family of magma rings modulo the span of ``zero'', and list","location" : {"line" : 1608,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsElementOfMagmaRingModuloSpanOfZeroFamily"],["IsList"]]},{"rank" : 7,"comment" : "NormalizedElementOfMagmaRingModuloRelations: for a family of elements in a *free* magma ring, and a list","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["CategoryFamily(IsElementOfFreeMagmaRing)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalizedElementOfMagmaRingModuloRelations"]},{"name" : "IsGroupRing","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "IsGroupRing: system getter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGroupRing)"]]},{"rank" : 36,"comment" : "IsGroupRing: for free magma ring","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGroupRing)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"],["IsBool"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGroupRing): system setter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGroupRing): default method, does nothing","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGroupRing"]},{"name" : "Tester(IsGroupRing)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "UnderlyingMagma","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "UnderlyingMagma: system getter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingMagma)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"],[]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingMagma): system setter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingMagma): default method, does nothing","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingMagma"]},{"name" : "Tester(UnderlyingMagma)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingMagma"]},{"name" : "ElementOfMagmaRing","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 17,"comment" : "ElementOfMagmaRing: for family, ring element, and two homogeneous lists","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFamily"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["ElementOfMagmaRing"]},{"name" : "AugmentationIdeal","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "AugmentationIdeal: system getter","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep","Tester(AugmentationIdeal)"]]},{"rank" : 36,"comment" : "AugmentationIdeal: for a free magma ring","location" : {"line" : 840,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gi"},"filters" : [["IsFreeMagmaRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AugmentationIdeal)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"],[]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AugmentationIdeal): system setter","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AugmentationIdeal): default method, does nothing","location" : {"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAugmentationIdeal"]},{"name" : "Tester(AugmentationIdeal)","type" : "GAP_Operation","filters" : [[["IsFreeMagmaRing"]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/mgmring.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAugmentationIdeal"]},{"name" : "IsFullFpAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsElementOfFpAlgebra)"]]],"locations" : [{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "IsFullFpAlgebra: system getter","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullFpAlgebra)"]]},{"rank" : 37,"comment" : "IsFullFpAlgebra: for f. p. algebra","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsSubalgebraFpAlgebra"]]},{"rank" : -59,"comment" : "IsFullFpAlgebra: default method requiring categories and checking properties","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsFreeLeftModule","CategoryCollections(IsElementOfFpAlgebra)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsElementOfFpAlgebra)"],["IsBool"]]],"locations" : [{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullFpAlgebra): system setter","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullFpAlgebra): default method, does nothing","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullFpAlgebra"]},{"name" : "Tester(IsFullFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsElementOfFpAlgebra)"]]],"locations" : [{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ElementOfFpAlgebra","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpAlgebra)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "ElementOfFpAlgebra: for fp. alg. elms. family with normal form, and ring element","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpAlgebra)","Tester(NiceNormalFormByExtRepFunction)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 12,"comment" : "ElementOfFpAlgebra: for family of fp. alg. elements and ring element","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpAlgebra)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementOfFpAlgebra"]},{"name" : "MappedExpression","type" : "GAP_Operation","filters" : [[["IsElementOfFpAlgebra"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 17,"comment" : "MappedExpression: for element of f.p. algebra, and two lists of generators","location" : {"line" : 160,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsElementOfFpAlgebra"],["IsHomogeneousList"],["IsHomogeneousList"]],"aka" : ["MappedExpressionForElementOfFreeAssociativeAlgebra"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MappedExpression"]},{"name" : "FreeGeneratorsOfFpAlgebra","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20043,"comment" : "FreeGeneratorsOfFpAlgebra: system getter","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeGeneratorsOfFpAlgebra)"]]},{"rank" : 40,"comment" : "FreeGeneratorsOfFpAlgebra: for a full f.p. algebra","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]},{"rank" : 0,"comment" : "FreeGeneratorsOfFpAlgebra: default method requiring categories and checking properties","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsSubalgebraFpAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeGeneratorsOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"],[]]],"locations" : [{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeGeneratorsOfFpAlgebra): system setter","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeGeneratorsOfFpAlgebra): default method, does nothing","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeGeneratorsOfFpAlgebra"]},{"name" : "Tester(FreeGeneratorsOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeGeneratorsOfFpAlgebra"]},{"name" : "RelatorsOfFpAlgebra","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20043,"comment" : "RelatorsOfFpAlgebra: system getter","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelatorsOfFpAlgebra)"]]},{"rank" : 40,"comment" : "RelatorsOfFpAlgebra: for a full f.p. algebra","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]},{"rank" : 0,"comment" : "RelatorsOfFpAlgebra: default method requiring categories and checking properties","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsSubalgebraFpAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelatorsOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"],[]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RelatorsOfFpAlgebra): system setter","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelatorsOfFpAlgebra): default method, does nothing","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelatorsOfFpAlgebra"]},{"name" : "Tester(RelatorsOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelatorsOfFpAlgebra"]},{"name" : "FreeAlgebraOfFpAlgebra","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20043,"comment" : "FreeAlgebraOfFpAlgebra: system getter","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeAlgebraOfFpAlgebra)"]]},{"rank" : 40,"comment" : "FreeAlgebraOfFpAlgebra: for a full f.p. algebra","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]},{"rank" : 0,"comment" : "FreeAlgebraOfFpAlgebra: default method requiring categories and checking properties","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsSubalgebraFpAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeAlgebraOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"],[]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeAlgebraOfFpAlgebra): system setter","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeAlgebraOfFpAlgebra): default method, does nothing","location" : {"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeAlgebraOfFpAlgebra"]},{"name" : "Tester(FreeAlgebraOfFpAlgebra)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeAlgebraOfFpAlgebra"]},{"name" : "IsNormalForm","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsNormalForm: system getter","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNormalForm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNormalForm)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNormalForm): system setter","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNormalForm): default method, does nothing","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNormalForm"]},{"name" : "Tester(IsNormalForm)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "NiceNormalFormByExtRepFunction","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "NiceNormalFormByExtRepFunction: system getter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceNormalFormByExtRepFunction)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceNormalFormByExtRepFunction)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceNormalFormByExtRepFunction): system setter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceNormalFormByExtRepFunction): default method, does nothing","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceNormalFormByExtRepFunction"]},{"name" : "Tester(NiceNormalFormByExtRepFunction)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceNormalFormByExtRepFunction"]},{"name" : "NiceAlgebraMonomorphism","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "NiceAlgebraMonomorphism: system getter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceAlgebraMonomorphism)"]]},{"rank" : 49,"comment" : "NiceAlgebraMonomorphism: for a full f.p. associative FLMLOR (call `IsomorphismMatrixFLMLOR')","location" : {"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]},{"rank" : 43,"comment" : "NiceAlgebraMonomorphism: for a f.p. Lie algebra","location" : {"line" : 5452,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsSubalgebraFpAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceAlgebraMonomorphism)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra"],[]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceAlgebraMonomorphism): system setter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceAlgebraMonomorphism): default method, does nothing","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceAlgebraMonomorphism"]},{"name" : "Tester(NiceAlgebraMonomorphism)","type" : "GAP_Operation","filters" : [[["IsSubalgebraFpAlgebra"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceAlgebraMonomorphism"]},{"name" : "IsLieAbelian","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "IsLieAbelian: system getter","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLieAbelian)"]]},{"rank" : 43,"comment" : "IsLieAbelian: for a Lie algebra with known basis","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","Tester(Basis)"]]},{"rank" : 42,"comment" : "IsLieAbelian: for a Lie algebra","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "IsLieAbelian: default method requiring categories and checking properties","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLieAbelian)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsBool"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLieAbelian): system setter","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLieAbelian): default method, does nothing","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLieAbelian"]},{"name" : "Tester(IsLieAbelian)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLieNilpotent","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "IsLieNilpotent: system getter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLieNilpotent)"]]},{"rank" : 42,"comment" : "IsLieNilpotent: for a Lie algebra","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "IsLieNilpotent: default method requiring categories and checking properties","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLieNilpotent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsBool"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLieNilpotent): system setter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLieNilpotent): default method, does nothing","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLieNilpotent"]},{"name" : "Tester(IsLieNilpotent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRestrictedLieAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "IsRestrictedLieAlgebra: system getter","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRestrictedLieAlgebra)"]]},{"rank" : 42,"comment" : "IsRestrictedLieAlgebra: for a Lie algebra","location" : {"line" : 983,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "IsRestrictedLieAlgebra: default method requiring categories and checking properties","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRestrictedLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsBool"]]],"locations" : [{"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRestrictedLieAlgebra): system setter","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRestrictedLieAlgebra): default method, does nothing","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRestrictedLieAlgebra"]},{"name" : "Tester(IsRestrictedLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LieDerivedSubalgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieDerivedSubalgebra: system getter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieDerivedSubalgebra)"]]},{"rank" : 42,"comment" : "LieDerivedSubalgebra: for a Lie algebra","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieDerivedSubalgebra: default method requiring categories and checking properties","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieDerivedSubalgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieDerivedSubalgebra): system setter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieDerivedSubalgebra): default method, does nothing","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieDerivedSubalgebra"]},{"name" : "Tester(LieDerivedSubalgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieDerivedSubalgebra"]},{"name" : "LieDerivedSeries","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieDerivedSeries: system getter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieDerivedSeries)"]]},{"rank" : 42,"comment" : "LieDerivedSeries: for a Lie algebra","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieDerivedSeries: default method requiring categories and checking properties","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieDerivedSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieDerivedSeries): system setter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieDerivedSeries): default method, does nothing","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieDerivedSeries"]},{"name" : "Tester(LieDerivedSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieDerivedSeries"]},{"name" : "IsLieSolvable","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "IsLieSolvable: system getter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLieSolvable)"]]},{"rank" : 42,"comment" : "IsLieSolvable: for a Lie algebra","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "IsLieSolvable: default method requiring categories and checking properties","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLieSolvable)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsBool"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLieSolvable): system setter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLieSolvable): default method, does nothing","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLieSolvable"]},{"name" : "Tester(IsLieSolvable)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LieLowerCentralSeries","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieLowerCentralSeries: system getter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieLowerCentralSeries)"]]},{"rank" : 42,"comment" : "LieLowerCentralSeries: for a Lie algebra","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieLowerCentralSeries: default method requiring categories and checking properties","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieLowerCentralSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieLowerCentralSeries): system setter","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieLowerCentralSeries): default method, does nothing","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieLowerCentralSeries"]},{"name" : "Tester(LieLowerCentralSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieLowerCentralSeries"]},{"name" : "LieUpperCentralSeries","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieUpperCentralSeries: system getter","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieUpperCentralSeries)"]]},{"rank" : 42,"comment" : "LieUpperCentralSeries: for a Lie algebra","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieUpperCentralSeries: default method requiring categories and checking properties","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieUpperCentralSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieUpperCentralSeries): system setter","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieUpperCentralSeries): default method, does nothing","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieUpperCentralSeries"]},{"name" : "Tester(LieUpperCentralSeries)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieUpperCentralSeries"]},{"name" : "LieCentre","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieCentre: system getter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieCentre)"]]},{"rank" : 42,"comment" : "LieCentre: for a Lie algebra","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieCentre: default method requiring categories and checking properties","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieCentre)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieCentre): system setter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieCentre): default method, does nothing","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieCenter","SetLieCentre"]},{"name" : "Tester(LieCentre)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieCenter","HasLieCentre"]},{"name" : "RightDerivations","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RightDerivations: system getter","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightDerivations)"]]},{"rank" : 7,"comment" : "RightDerivations: method for a basis of an algebra","location" : {"line" : 723,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightDerivations)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightDerivations): system setter","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightDerivations): default method, does nothing","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivations","SetRightDerivations"]},{"name" : "Tester(RightDerivations)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivations","HasRightDerivations"]},{"name" : "LeftDerivations","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "LeftDerivations: system getter","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftDerivations)"]]},{"rank" : 7,"comment" : "LeftDerivations: method for a basis of an algebra","location" : {"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftDerivations)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeftDerivations): system setter","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftDerivations): default method, does nothing","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftDerivations"]},{"name" : "Tester(LeftDerivations)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftDerivations"]},{"name" : "KillingMatrix","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "KillingMatrix: system getter","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(KillingMatrix)"]]},{"rank" : 7,"comment" : "KillingMatrix: for a basis of a Lie algebra","location" : {"line" : 882,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KillingMatrix)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KillingMatrix): system setter","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KillingMatrix): default method, does nothing","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKillingMatrix"]},{"name" : "Tester(KillingMatrix)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasKillingMatrix"]},{"name" : "CartanSubalgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "CartanSubalgebra: system getter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(CartanSubalgebra)"]]},{"rank" : 42,"comment" : "CartanSubalgebra: for a Lie algebra","location" : {"line" : 1380,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "CartanSubalgebra: default method requiring categories and checking properties","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CartanSubalgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CartanSubalgebra): system setter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CartanSubalgebra): default method, does nothing","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCartanSubalgebra"]},{"name" : "Tester(CartanSubalgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCartanSubalgebra"]},{"name" : "PthPowerImages","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "PthPowerImages: system getter","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(PthPowerImages)"]]},{"rank" : 7,"comment" : "PthPowerImages: for a basis of a Lie algebra","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PthPowerImages)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PthPowerImages): system setter","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PthPowerImages): default method, does nothing","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPthPowerImages"]},{"name" : "Tester(PthPowerImages)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPthPowerImages"]},{"name" : "NonNilpotentElement","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "NonNilpotentElement: system getter","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(NonNilpotentElement)"]]},{"rank" : 42,"comment" : "NonNilpotentElement: for a Lie algebra","location" : {"line" : 2787,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "NonNilpotentElement: default method requiring categories and checking properties","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NonNilpotentElement)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NonNilpotentElement): system setter","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NonNilpotentElement): default method, does nothing","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNonLieNilpotentElement","SetNonNilpotentElement"]},{"name" : "Tester(NonNilpotentElement)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNonLieNilpotentElement","HasNonNilpotentElement"]},{"name" : "AdjointAssociativeAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 84,"comment" : "AdjointAssociativeAlgebra: for a Lie algebra and a subalgebra","location" : {"line" : 1527,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdjointAssociativeAlgebra"]},{"name" : "LieNilRadical","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieNilRadical: system getter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieNilRadical)"]]},{"rank" : 42,"comment" : "LieNilRadical: for a Lie algebra","location" : {"line" : 1665,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieNilRadical: default method requiring categories and checking properties","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieNilRadical)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieNilRadical): system setter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieNilRadical): default method, does nothing","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieNilRadical"]},{"name" : "Tester(LieNilRadical)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieNilRadical"]},{"name" : "LieSolvableRadical","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieSolvableRadical: system getter","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieSolvableRadical)"]]},{"rank" : 42,"comment" : "LieSolvableRadical: for a Lie algebra","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LieSolvableRadical: default method requiring categories and checking properties","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieSolvableRadical)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieSolvableRadical): system setter","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieSolvableRadical): default method, does nothing","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieSolvableRadical"]},{"name" : "Tester(LieSolvableRadical)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieSolvableRadical"]},{"name" : "SemiSimpleType","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "SemiSimpleType: system getter","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemiSimpleType)"]]},{"rank" : 42,"comment" : "SemiSimpleType: for a Lie algebra","location" : {"line" : 2669,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "SemiSimpleType: default method requiring categories and checking properties","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemiSimpleType)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemiSimpleType): system setter","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemiSimpleType): default method, does nothing","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemiSimpleType"]},{"name" : "Tester(SemiSimpleType)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemiSimpleType"]},{"name" : "LieCentralizer","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 73,"comment" : "LieCentralizer: for an abelian Lie algebra and a vector space","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsLieAbelian","Tester(IsLieAbelian)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]},{"rank" : 67,"comment" : "LieCentralizer: for a Lie algebra and a vector space","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LieCentraliser","LieCentralizer"]},{"name" : "LieCentralizerInParent","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieCentralizerInParent: system getter","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieCentralizerInParent)"]]},{"rank" : -55,"comment" : "LieCentralizerInParent: default method requiring categories and checking properties","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieCentralizerInParent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieCentralizerInParent): system setter","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieCentralizerInParent): default method, does nothing","location" : {"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieCentralizerInParent"]},{"name" : "Tester(LieCentralizerInParent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 573,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieCentralizerInParent"]},{"name" : "LieNormalizer","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 67,"comment" : "LieNormalizer: for a Lie algebra and a vector space","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LieNormaliser","LieNormalizer"]},{"name" : "LieNormalizerInParent","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LieNormalizerInParent: system getter","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieNormalizerInParent)"]]},{"rank" : -55,"comment" : "LieNormalizerInParent: default method requiring categories and checking properties","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieNormalizerInParent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieNormalizerInParent): system setter","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieNormalizerInParent): default method, does nothing","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieNormalizerInParent"]},{"name" : "Tester(LieNormalizerInParent)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieNormalizerInParent"]},{"name" : "AdjointMatrix","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 642,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 15,"comment" : "AdjointMatrix: for a basis of a Lie algebra, and an element","location" : {"line" : 615,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AdjointMatrix"]},{"name" : "KappaPerp","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 673,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 67,"comment" : "KappaPerp: for a Lie algebra and a vector space","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KappaPerp"]},{"name" : "PowerS","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "PowerS: system getter","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(PowerS)"]]},{"rank" : 42,"comment" : "PowerS: for a Lie algebra","location" : {"line" : 1062,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "PowerS: default method requiring categories and checking properties","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PowerS)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PowerS): system setter","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PowerS): default method, does nothing","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPowerS"]},{"name" : "Tester(PowerS)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPowerS"]},{"name" : "PthPowerImage","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]],[["IsJacobianElement"]],[["IsJacobianElement"],["IsInt"]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},{"line" : 757,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "PthPowerImage: for restricted Lie object","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsRestrictedJacobianElement","IsLieObject"]]},{"rank" : 9,"comment" : "PthPowerImage: for an element of a restricted Lie algebra","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsJacobianElement"]]}],"2args" : [{"rank" : 30,"comment" : "PthPowerImage: for restricted Lie object and integer","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsRestrictedJacobianElement","IsLieObject"],["IsInt"]]},{"rank" : 27,"comment" : "PthPowerImage: for an element of a restricted Lie algebra and an integer","location" : {"line" : 1163,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsJacobianElement"],["IsInt"]]},{"rank" : 15,"comment" : "PthPowerImage: for a basis of an algebra, and a ring element","location" : {"line" : 1140,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsBasis"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PthPowerImage"]},{"name" : "PClosureSubalgebra","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsJacobianElement)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 786,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 43,"comment" : "PClosureSubalgebra: for a subalgebra of restricted jacobian elements","location" : {"line" : 1177,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["CategoryCollections(IsJacobianElement)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PClosureSubalgebra"]},{"name" : "UnderlyingLieAlgebra","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "UnderlyingLieAlgebra: system getter","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingLieAlgebra)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"],[]]],"locations" : [{"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingLieAlgebra): system setter","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingLieAlgebra): default method, does nothing","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingLieAlgebra"]},{"name" : "Tester(UnderlyingLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingLieAlgebra"]},{"name" : "RootSystem","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "RootSystem: system getter","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(RootSystem)"]]},{"rank" : 42,"comment" : "RootSystem: for a (semisimple) Lie algebra","location" : {"line" : 3091,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "RootSystem: default method requiring categories and checking properties","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RootSystem)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RootSystem): system setter","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RootSystem): default method, does nothing","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRootSystem"]},{"name" : "Tester(RootSystem)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRootSystem"]},{"name" : "PositiveRoots","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "PositiveRoots: system getter","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(PositiveRoots)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PositiveRoots)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PositiveRoots): system setter","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PositiveRoots): default method, does nothing","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPositiveRoots"]},{"name" : "Tester(PositiveRoots)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPositiveRoots"]},{"name" : "NegativeRoots","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "NegativeRoots: system getter","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(NegativeRoots)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NegativeRoots)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NegativeRoots): system setter","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NegativeRoots): default method, does nothing","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNegativeRoots"]},{"name" : "Tester(NegativeRoots)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNegativeRoots"]},{"name" : "PositiveRootVectors","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "PositiveRootVectors: system getter","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(PositiveRootVectors)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PositiveRootVectors)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"],[]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PositiveRootVectors): system setter","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PositiveRootVectors): default method, does nothing","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPositiveRootVectors"]},{"name" : "Tester(PositiveRootVectors)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPositiveRootVectors"]},{"name" : "NegativeRootVectors","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "NegativeRootVectors: system getter","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(NegativeRootVectors)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NegativeRootVectors)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"],[]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NegativeRootVectors): system setter","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NegativeRootVectors): default method, does nothing","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNegativeRootVectors"]},{"name" : "Tester(NegativeRootVectors)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNegativeRootVectors"]},{"name" : "SimpleSystem","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "SimpleSystem: system getter","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(SimpleSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SimpleSystem)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SimpleSystem): system setter","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SimpleSystem): default method, does nothing","location" : {"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSimpleSystem"]},{"name" : "Tester(SimpleSystem)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 992,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSimpleSystem"]},{"name" : "CartanMatrix","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "CartanMatrix: system getter","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(CartanMatrix)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CartanMatrix)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CartanMatrix): system setter","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CartanMatrix): default method, does nothing","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCartanMatrix"]},{"name" : "Tester(CartanMatrix)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCartanMatrix"]},{"name" : "BilinearFormMat","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "BilinearFormMat: system getter","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(BilinearFormMat)"]]},{"rank" : 2,"comment" : "BilinearFormMat: for a root system from a Lie algebra","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsRootSystemFromLieAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BilinearFormMat)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BilinearFormMat): system setter","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BilinearFormMat): default method, does nothing","location" : {"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBilinearFormMat"]},{"name" : "Tester(BilinearFormMat)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 1030,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBilinearFormMat"]},{"name" : "CanonicalGenerators","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "CanonicalGenerators: system getter","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalGenerators)"]]},{"rank" : 2,"comment" : "CanonicalGenerators: for a root system from a (semisimple) Lie algebra","location" : {"line" : 3119,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsRootSystemFromLieAlgebra"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalGenerators)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"],[]]],"locations" : [{"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalGenerators): system setter","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalGenerators): default method, does nothing","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalGenerators"]},{"name" : "Tester(CanonicalGenerators)","type" : "GAP_Operation","filters" : [[["IsRootSystemFromLieAlgebra"]]],"locations" : [{"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalGenerators"]},{"name" : "ChevalleyBasis","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "ChevalleyBasis: system getter","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(ChevalleyBasis)"]]},{"rank" : 42,"comment" : "ChevalleyBasis: for a semisimple Lie algebra with a split Cartan subalgebra","location" : {"line" : 3251,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "ChevalleyBasis: default method requiring categories and checking properties","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ChevalleyBasis)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ChevalleyBasis): system setter","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ChevalleyBasis): default method, does nothing","location" : {"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetChevalleyBasis"]},{"name" : "Tester(ChevalleyBasis)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1115,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasChevalleyBasis"]},{"name" : "UniversalEnvelopingAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "UniversalEnvelopingAlgebra: system getter","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(UniversalEnvelopingAlgebra)"]]},{"rank" : 42,"comment" : "UniversalEnvelopingAlgebra: for a finite dimensional Lie algebra","location" : {"line" : 3523,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "UniversalEnvelopingAlgebra: default method requiring categories and checking properties","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [{"rank" : 49,"comment" : "UniversalEnvelopingAlgebra: for a finite dimensional Lie algebra and a basis of it","location" : {"line" : 3510,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsBasis"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UniversalEnvelopingAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UniversalEnvelopingAlgebra): system setter","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UniversalEnvelopingAlgebra): default method, does nothing","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUniversalEnvelopingAlgebra"]},{"name" : "Tester(UniversalEnvelopingAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUniversalEnvelopingAlgebra"]},{"name" : "JenningsLieAlgebra","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "JenningsLieAlgebra: system getter","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(JenningsLieAlgebra)"]]},{"rank" : 35,"comment" : "JenningsLieAlgebra: for a p-group","location" : {"line" : 5765,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "JenningsLieAlgebra: default method requiring categories and checking properties","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(JenningsLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(JenningsLieAlgebra): system setter","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(JenningsLieAlgebra): default method, does nothing","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetJenningsLieAlgebra"]},{"name" : "Tester(JenningsLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasJenningsLieAlgebra"]},{"name" : "PCentralLieAlgebra","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PCentralLieAlgebra: system getter","location" : {"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(PCentralLieAlgebra)"]]},{"rank" : 35,"comment" : "PCentralLieAlgebra: for a p-group","location" : {"line" : 5964,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PCentralLieAlgebra: default method requiring categories and checking properties","location" : {"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PCentralLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PCentralLieAlgebra): system setter","location" : {"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PCentralLieAlgebra): default method, does nothing","location" : {"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPCentralLieAlgebra"]},{"name" : "Tester(PCentralLieAlgebra)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1477,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPCentralLieAlgebra"]},{"name" : "NaturalHomomorphismOfLieAlgebraFromNilpotentGroup","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "NaturalHomomorphismOfLieAlgebraFromNilpotentGroup: system getter","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep","Tester(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup)"]]},{"rank" : -55,"comment" : "NaturalHomomorphismOfLieAlgebraFromNilpotentGroup: default method requiring categories and checking properties","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup): system setter","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup): default method, does nothing","location" : {"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNaturalHomomorphismOfLieAlgebraFromNilpotentGroup"]},{"name" : "Tester(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 1502,"file" : "\/home\/makx\/ac\/gap\/lib\/alglie.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNaturalHomomorphismOfLieAlgebraFromNilpotentGroup"]},{"name" : "IsFullSCAlgebra","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "IsFullSCAlgebra: system getter","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullSCAlgebra)"]]},{"rank" : 41,"comment" : "IsFullSCAlgebra: for s. c. algebra elements collection","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCAlgebraObj)"]]},{"rank" : -59,"comment" : "IsFullSCAlgebra: default method requiring categories and checking properties","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullSCAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"],["IsBool"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullSCAlgebra): system setter","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullSCAlgebra): default method, does nothing","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullSCAlgebra"]},{"name" : "Tester(IsFullSCAlgebra)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCanonicalBasisFullSCAlgebra","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsCanonicalBasisFullSCAlgebra: system getter","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalBasisFullSCAlgebra)"]]},{"rank" : 7,"comment" : "IsCanonicalBasisFullSCAlgebra: for a basis","location" : {"line" : 1071,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalBasisFullSCAlgebra)","type" : "GAP_Operation","filters" : [[["IsBasis"],["IsBool"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalBasisFullSCAlgebra): system setter","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalBasisFullSCAlgebra): default method, does nothing","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalBasisFullSCAlgebra"]},{"name" : "Tester(IsCanonicalBasisFullSCAlgebra)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AlgebraGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 76,"comment" : "AlgebraGeneralMappingByImages: for two FLMLORs and two homogeneous lists","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["AlgebraGeneralMappingByImages"]},{"name" : "AlgebraHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 76,"comment" : "AlgebraHomomorphismByImagesNC: for two FLMLORs and two homogeneous lists","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["AlgebraHomomorphismByImagesNC"]},{"name" : "AlgebraWithOneGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 76,"comment" : "AlgebraWithOneGeneralMappingByImages: for two FLMLORs and two homogeneous lists","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["AlgebraWithOneGeneralMappingByImages"]},{"name" : "AlgebraWithOneHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 76,"comment" : "AlgebraWithOneHomomorphismByImagesNC: for two FLMLORs and two homogeneous lists","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["AlgebraWithOneHomomorphismByImagesNC"]},{"name" : "OperationAlgebraHomomorphism","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsBasis"],["IsFunction"]]],"locations" : [{"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "OperationAlgebraHomomorphism: for a FLMLOR and a collection (add `OnRight' argument)","location" : {"line" : 1133,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsCollection"]]}],"3args" : [{"rank" : 61,"comment" : "OperationAlgebraHomomorphism: for a FLMLOR, a free left module with known generators, and a function","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)","Tester(GeneratorsOfLeftOperatorAdditiveGroup)"],["IsFunction"]]},{"rank" : 52,"comment" : "OperationAlgebraHomomorphism: for a full f.p. associative FLMLOR, a collection, and a function","location" : {"line" : 620,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"],["IsCollection"],["IsFunction"]]},{"rank" : 42,"comment" : "OperationAlgebraHomomorphism: for a FLMLOR, a basis, and a function","location" : {"line" : 1119,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsBasis"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OperationAlgebraHomomorphism"]},{"name" : "MakePreImagesInfoOperationAlgebraHomomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 29,"comment" : "MakePreImagesInfoOperationAlgebraHomomorphism: for an alg. hom. from f. p. algebra","location" : {"line" : 1052,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsAlgebraHomomorphismFromFpRep"]]},{"rank" : 29,"comment" : "MakePreImagesInfoOperationAlgebraHomomorphism: for an operation algebra homomorphism","location" : {"line" : 877,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsOperationAlgebraHomomorphismDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MakePreImagesInfoOperationAlgebraHomomorphism"]},{"name" : "IsomorphismFpFLMLOR","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismFpFLMLOR: system getter","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismFpFLMLOR)"]]},{"rank" : 10037,"comment" : "IsomorphismFpFLMLOR: for f.p. FLMLOR (return the identity mapping)","location" : {"line" : 1752,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsSubalgebraFpAlgebra"]]},{"rank" : 37,"comment" : "IsomorphismFpFLMLOR: for a finite dimensional FLMLOR-with-one","location" : {"line" : 1737,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : -46,"comment" : "IsomorphismFpFLMLOR: default method requiring categories and checking properties","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismFpFLMLOR)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],[]]],"locations" : [{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismFpFLMLOR): system setter","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismFpFLMLOR): default method, does nothing","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismFpAlgebra","SetIsomorphismFpFLMLOR"]},{"name" : "Tester(IsomorphismFpFLMLOR)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismFpAlgebra","HasIsomorphismFpFLMLOR"]},{"name" : "IsomorphismMatrixFLMLOR","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismMatrixFLMLOR: system getter","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismMatrixFLMLOR)"]]},{"rank" : 49,"comment" : "IsomorphismMatrixFLMLOR: for a full f.p. associative FLMLOR","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsSubalgebraFpAlgebra","IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]]},{"rank" : 44,"comment" : "IsomorphismMatrixFLMLOR: for a matrix FLMLOR","location" : {"line" : 1728,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 37,"comment" : "IsomorphismMatrixFLMLOR: for a f.p. FLMLOR","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsSubalgebraFpAlgebra"]]},{"rank" : 34,"comment" : "IsomorphismMatrixFLMLOR: for a finite dimensional associative FLMLOR with identity","location" : {"line" : 1553,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : -46,"comment" : "IsomorphismMatrixFLMLOR: default method requiring categories and checking properties","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsFreeLeftModule"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismMatrixFLMLOR)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],[]]],"locations" : [{"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismMatrixFLMLOR): system setter","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismMatrixFLMLOR): default method, does nothing","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismMatrixAlgebra","SetIsomorphismMatrixFLMLOR"]},{"name" : "Tester(IsomorphismMatrixFLMLOR)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismMatrixAlgebra","HasIsomorphismMatrixFLMLOR"]},{"name" : "IsomorphismSCFLMLOR","type" : "GAP_Operation","filters" : [[["IsBasis"]],[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]],"locations" : [{"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IsomorphismSCFLMLOR: system getter","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismSCFLMLOR)"]]},{"rank" : 10039,"comment" : "IsomorphismSCFLMLOR: for s.c. FLMLOR (return the identity mapping)","location" : {"line" : 1811,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","CategoryCollections(IsSCAlgebraObj)"]]},{"rank" : 34,"comment" : "IsomorphismSCFLMLOR: for a finite dimensional FLMLOR (delegate to the method for a basis)","location" : {"line" : 1762,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 7,"comment" : "IsomorphismSCFLMLOR: for a basis (of a finite dimensional FLMLOR)","location" : {"line" : 1799,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsBasis"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismSCFLMLOR)","type" : "GAP_Operation","filters" : [[["IsBasis"],[]],[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],[]]],"locations" : [{"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismSCFLMLOR): system setter","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismSCFLMLOR): default method, does nothing","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismSCAlgebra","SetIsomorphismSCFLMLOR"]},{"name" : "Tester(IsomorphismSCFLMLOR)","type" : "GAP_Operation","filters" : [[["IsBasis"]]],"locations" : [{"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismSCAlgebra","HasIsomorphismSCFLMLOR"]},{"name" : "RepresentativeLinearOperation","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsFunction"]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 95,"comment" : "RepresentativeLinearOperation: for a matrix FLMLOR, two lists of row vectors, and `OnTuples'","location" : {"line" : 1717,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]},{"rank" : 69,"comment" : "RepresentativeLinearOperation: for a matrix FLMLOR, two row vectors, and `OnRight'","location" : {"line" : 1681,"file" : "\/home\/makx\/ac\/gap\/lib\/algmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"],["IsFunction"]]},{"rank" : 49,"comment" : "RepresentativeLinearOperation: for a FLMLOR, two elements in it, and `OnRight'","location" : {"line" : 1260,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"],["IsFunction"]]},{"rank" : 43,"comment" : "RepresentativeLinearOperation: for a FLMLOR, two tuples of elements in it, and `OnTuples'","location" : {"line" : 1301,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsHomogeneousList"],["IsHomogeneousList"],["IsFunction"]]}],"5args" : [],"6args" : []},"aka" : ["RepresentativeLinearOperation"]},{"name" : "LieFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LieFamily: system getter","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieFamily)"]]},{"rank" : 3,"comment" : "LieFamily: for family of ring elements","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))"]]},{"rank" : 2,"comment" : "LieFamily: for a collections family (special case of Lie matrices)","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["CategoryFamily(IsCollection)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieFamily): system setter","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieFamily): default method, does nothing","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieFamily"]},{"name" : "Tester(LieFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieFamily"]},{"name" : "UnderlyingFamily","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "UnderlyingFamily: system getter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingFamily)"]]},{"rank" : 18,"comment" : "UnderlyingFamily","location" : {"line" : 1085,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 2,"comment" : "UnderlyingFamily","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingFamily)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingFamily): system setter","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingFamily): default method, does nothing","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingFamily"]},{"name" : "Tester(UnderlyingFamily)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingFamily"]},{"name" : "LieObject","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "LieObject: system getter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep","Tester(LieObject)"]]},{"rank" : 8,"comment" : "LieObject: for a ring element","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LieObject)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],[]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LieObject): system setter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LieObject): default method, does nothing","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLieObject"]},{"name" : "Tester(LieObject)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLieObject"]},{"name" : "UnderlyingRingElement","type" : "GAP_Operation","filters" : [[["IsLieObject"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "UnderlyingRingElement: system getter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingRingElement)"]]},{"rank" : 13,"comment" : "UnderlyingRingElement: for a Lie object in default representation","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gi"},"filters" : [["IsPackedElementDefaultRep","IsLieObject"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingRingElement)","type" : "GAP_Operation","filters" : [[["IsLieObject"],[]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingRingElement): system setter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingRingElement): default method, does nothing","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingRingElement"]},{"name" : "Tester(UnderlyingRingElement)","type" : "GAP_Operation","filters" : [[["IsLieObject"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/liefam.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingRingElement"]},{"name" : "IsAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsAlgebraModule: system getter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAlgebraModule)"]]},{"rank" : -44,"comment" : "IsAlgebraModule: default method requiring categories and checking properties","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsBool"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAlgebraModule): system setter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAlgebraModule): default method, does nothing","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAlgebraModule"]},{"name" : "Tester(IsAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLeftAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsLeftAlgebraModule: system getter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLeftAlgebraModule)"]]},{"rank" : -44,"comment" : "IsLeftAlgebraModule: default method requiring categories and checking properties","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLeftAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsBool"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLeftAlgebraModule): system setter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLeftAlgebraModule): default method, does nothing","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLeftAlgebraModule"]},{"name" : "Tester(IsLeftAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRightAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsRightAlgebraModule: system getter","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRightAlgebraModule)"]]},{"rank" : -44,"comment" : "IsRightAlgebraModule: default method requiring categories and checking properties","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRightAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsBool"]]],"locations" : [{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRightAlgebraModule): system setter","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRightAlgebraModule): default method, does nothing","location" : {"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRightAlgebraModule"]},{"name" : "Tester(IsRightAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LeftActingAlgebra","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "LeftActingAlgebra: system getter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftActingAlgebra)"]]},{"rank" : 0,"comment" : "LeftActingAlgebra: default method requiring categories and checking properties","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftActingAlgebra)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],[]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeftActingAlgebra): system setter","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftActingAlgebra): default method, does nothing","location" : {"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftActingAlgebra"]},{"name" : "Tester(LeftActingAlgebra)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 189,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftActingAlgebra"]},{"name" : "RightActingAlgebra","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "RightActingAlgebra: system getter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightActingAlgebra)"]]},{"rank" : 0,"comment" : "RightActingAlgebra: default method requiring categories and checking properties","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightActingAlgebra)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],[]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightActingAlgebra): system setter","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightActingAlgebra): default method, does nothing","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightActingAlgebra"]},{"name" : "Tester(RightActingAlgebra)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightActingAlgebra"]},{"name" : "ActingAlgebra","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 24,"comment" : "ActingAlgebra: for an algebra module","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ActingAlgebra"]},{"name" : "GeneratorsOfAlgebraModule","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20027,"comment" : "GeneratorsOfAlgebraModule: system getter","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfAlgebraModule)"]]},{"rank" : 0,"comment" : "GeneratorsOfAlgebraModule: default method requiring categories and checking properties","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],[]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfAlgebraModule): system setter","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfAlgebraModule): default method, does nothing","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfAlgebraModule"]},{"name" : "Tester(GeneratorsOfAlgebraModule)","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfAlgebraModule"]},{"name" : "LeftAlgebraModuleByGenerators","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"]]],"locations" : [{"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 41,"comment" : "LeftAlgebraModuleByGenerators: for algebra, function of 2 args, module generators","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"]]}],"4args" : [{"rank" : 46,"comment" : "LeftAlgebraModuleByGenerators: for algebra, function of 2 args, generators, string","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"],["IsString"]]}],"5args" : [],"6args" : []},"aka" : ["LeftAlgebraModuleByGenerators"]},{"name" : "RightAlgebraModuleByGenerators","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"]]],"locations" : [{"line" : 304,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 41,"comment" : "RightAlgebraModuleByGenerators: for algebra, function of 2 args, module generators","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"]]}],"4args" : [{"rank" : 46,"comment" : "RightAlgebraModuleByGenerators: for algebra, function of 2 args, generators, string","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsHomogeneousList"],["IsString"]]}],"5args" : [],"6args" : []},"aka" : ["RightAlgebraModuleByGenerators"]},{"name" : "BiAlgebraModuleByGenerators","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsFunction"],["IsHomogeneousList"]]],"locations" : [{"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 78,"comment" : "BiAlgebraModuleByGenerators: for 2 algebras, function of 2 args, function of 2 args, module generators","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsFunction"],["IsHomogeneousList"]]}],"6args" : [{"rank" : 83,"comment" : "BiAlgebraModuleByGenerators: for 2 algebras, function of 2 args, function of 2 args, generators, string","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsFunction"],["IsHomogeneousList"],["IsString"]]}]},"aka" : ["BiAlgebraModuleByGenerators"]},{"name" : "LeftAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 62,"comment" : "LeftAlgebraModule: for algebra, function of 2 args, underlying space","location" : {"line" : 343,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftAlgebraModule"]},{"name" : "RightAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 62,"comment" : "RightAlgebraModule: for algebra, function of 2 args, underlying space","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightAlgebraModule"]},{"name" : "BiAlgebraModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 99,"comment" : "BiAlgebraModule: for 2 algebras, function of 2 args, function of 2 args, module generators","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsFunction"],["IsFunction"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"6args" : []},"aka" : ["BiAlgebraModule"]},{"name" : "SubAlgebraModule","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["CategoryCollections(IsAlgebraModuleElement)"]]],"locations" : [{"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 45,"comment" : "SubAlgebraModule: for algebra module, and a list of submodule generators","location" : {"line" : 958,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","IsAlgebraModule","Tester(IsAlgebraModule)"],["IsList","CategoryCollections(IsAlgebraModuleElement)"]]}],"3args" : [{"rank" : 50,"comment" : "SubAlgebraModule: for algebra module, and a list of submodule generators, and string","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsFreeLeftModule","IsAlgebraModule","Tester(IsAlgebraModule)"],["IsList","CategoryCollections(IsAlgebraModuleElement)"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubAlgebraModule"]},{"name" : "LeftModuleByHomomorphismToMatAlg","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]],"locations" : [{"line" : 518,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 57,"comment" : "LeftModuleByHomomorphismToMatAlg: for an algebra and a homomorphism to a matrix algebra","location" : {"line" : 1022,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeftModuleByHomomorphismToMatAlg"]},{"name" : "RightModuleByHomomorphismToMatAlg","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 57,"comment" : "RightModuleByHomomorphismToMatAlg: for an algebra and a homomorphism to a matrix algebra","location" : {"line" : 1051,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightModuleByHomomorphismToMatAlg"]},{"name" : "AdjointModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "AdjointModule: system getter","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdjointModule)"]]},{"rank" : 36,"comment" : "AdjointModule: for an algebra","location" : {"line" : 1065,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "AdjointModule: default method requiring categories and checking properties","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdjointModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdjointModule): system setter","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdjointModule): default method, does nothing","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdjointModule"]},{"name" : "Tester(AdjointModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdjointModule"]},{"name" : "FaithfulModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "FaithfulModule: system getter","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep","Tester(FaithfulModule)"]]},{"rank" : 42,"comment" : "FaithfulModule: for a Lie algebra","location" : {"line" : 4419,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : 36,"comment" : "FaithfulModule: for an algebra","location" : {"line" : 1112,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -55,"comment" : "FaithfulModule: default method requiring categories and checking properties","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FaithfulModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FaithfulModule): system setter","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FaithfulModule): default method, does nothing","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFaithfulModule"]},{"name" : "Tester(FaithfulModule)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFaithfulModule"]},{"name" : "ModuleByRestriction","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 685,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 60,"comment" : "ModuleByRestriction: for an algebra module and a subalgebra","location" : {"line" : 1152,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [{"rank" : 96,"comment" : "ModuleByRestriction: for a bi-algebra module and a subalgebra and a subalgebra","location" : {"line" : 1181,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ModuleByRestriction"]},{"name" : "NaturalHomomorphismBySubAlgebraModule","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsAlgebraModule","Tester(IsAlgebraModule)"]]],"locations" : [{"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 48,"comment" : "NaturalHomomorphismBySubAlgebraModule: for algebra module and a submodule","location" : {"line" : 1244,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsAlgebraModule","Tester(IsAlgebraModule)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismBySubAlgebraModule"]},{"name" : "MatrixOfAction","type" : "GAP_Operation","filters" : [[["IsBasisOfAlgebraModuleElementSpace"],[]]],"locations" : [{"line" : 771,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "MatrixOfAction: for a basis of an algebra module and an algebra element","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsBasisOfAlgebraModuleElementSpace"],[]]}],"3args" : [{"rank" : 8,"comment" : "MatrixOfAction: for a basis of an algebra module, an algebra element and a side","location" : {"line" : 1309,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsBasisOfAlgebraModuleElementSpace"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MatrixOfAction"]},{"name" : "ConvertToNormalFormMonomialElement","type" : "GAP_Operation","filters" : [[["IsMonomialElement"]]],"locations" : [{"line" : 808,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 9,"comment" : "ConvertToNormalFormMonomialElement: for a symmetric element","location" : {"line" : 2640,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsSymmetricPowerElement"]]},{"rank" : 9,"comment" : "ConvertToNormalFormMonomialElement: for a wedge element","location" : {"line" : 2316,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsWedgeElement"]]},{"rank" : 9,"comment" : "ConvertToNormalFormMonomialElement: for a tensor element","location" : {"line" : 1904,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsTensorElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConvertToNormalFormMonomialElement"]},{"name" : "TensorProductOp","type" : "GAP_Operation","filters" : [[["IsList"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]],"locations" : [{"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "TensorProductOp: for a list of finite dimensional vector spaces, and a space (for method selection)","location" : {"line" : 1979,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsDenseList"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TensorProductOp"]},{"name" : "TensorProductOfAlgebraModules","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "TensorProductOfAlgebraModules: for a list of algebra modules","location" : {"line" : 2125,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsDenseList"]]}],"2args" : [{"rank" : 48,"comment" : "TensorProductOfAlgebraModules: for two algebra modules","location" : {"line" : 2133,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsAlgebraModule","Tester(IsAlgebraModule)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TensorProductOfAlgebraModules"]},{"name" : "ExteriorPower","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]],"locations" : [{"line" : 946,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "ExteriorPower: for matrices","location" : {"line" : 2601,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "ExteriorPower: for a vector space and an integer","location" : {"line" : 2370,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExteriorPower"]},{"name" : "ExteriorPowerOfAlgebraModule","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "ExteriorPowerOfAlgebraModule: for an algebra module and an integer","location" : {"line" : 2471,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExteriorPowerOfAlgebraModule"]},{"name" : "SymmetricPower","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]],"locations" : [{"line" : 1008,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 49,"comment" : "SymmetricPower: for matrices","location" : {"line" : 2614,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "SymmetricPower: for an algebra module and an integer","location" : {"line" : 2687,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymmetricPower"]},{"name" : "SymmetricPowerOfAlgebraModule","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]],"locations" : [{"line" : 1038,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "SymmetricPowerOfAlgebraModule: for an algebra module and an integer","location" : {"line" : 2789,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymmetricPowerOfAlgebraModule"]},{"name" : "DirectSumOfAlgebraModules","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 1103,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "DirectSumOfAlgebraModules: for a list of algebra modules","location" : {"line" : 3530,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsDenseList"]]}],"2args" : [{"rank" : 48,"comment" : "DirectSumOfAlgebraModules: for two algebra modules","location" : {"line" : 3538,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsAlgebraModule","Tester(IsAlgebraModule)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectSumOfAlgebraModules"]},{"name" : "FullSparseRowSpace","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]],"locations" : [{"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "FullSparseRowSpace: for a ring and an integer","location" : {"line" : 3216,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FullSparseRowSpace"]},{"name" : "TranslatorSubalgebra","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsFreeLeftModule"],["IsFreeLeftModule"]]],"locations" : [{"line" : 1210,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 70,"comment" : "TranslatorSubalgebra: for an algebra, an algebra module and two subspaces","location" : {"line" : 3620,"file" : "\/home\/makx\/ac\/gap\/lib\/algrep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsFreeLeftModule"],["IsFreeLeftModule"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TranslatorSubalgebra"]},{"name" : "Cochain","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"],["IsInt"],[]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 42,"comment" : "Cochain: for a module over a Lie algebra, an integer and an object","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Cochain"]},{"name" : "CochainSpace","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]],"locations" : [{"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "CochainSpace: for a module over a Lie algebra and an integer","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CochainSpace"]},{"name" : "Cocycles","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]],"locations" : [{"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "Cocycles: for module over a Lie algebra and an integer","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Cocycles"]},{"name" : "Coboundaries","type" : "GAP_Operation","filters" : [[["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]],"locations" : [{"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "Coboundaries: for module over a Lie algebra and an integer","location" : {"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsAlgebraModule","Tester(IsAlgebraModule)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Coboundaries"]},{"name" : "IsWeylGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsWeylGroup: system getter","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWeylGroup)"]]},{"rank" : 0,"comment" : "IsWeylGroup: default method requiring categories and checking properties","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWeylGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWeylGroup): system setter","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWeylGroup): default method, does nothing","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWeylGroup"]},{"name" : "Tester(IsWeylGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "WeylGroup","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "WeylGroup: system getter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(WeylGroup)"]]},{"rank" : 1,"comment" : "WeylGroup: for a root system","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsRootSystem"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(WeylGroup)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(WeylGroup): system setter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(WeylGroup): default method, does nothing","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetWeylGroup"]},{"name" : "Tester(WeylGroup)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasWeylGroup"]},{"name" : "SparseCartanMatrix","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "SparseCartanMatrix: system getter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(SparseCartanMatrix)"]]},{"rank" : 0,"comment" : "SparseCartanMatrix: default method requiring categories and checking properties","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SparseCartanMatrix)","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"],[]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SparseCartanMatrix): system setter","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SparseCartanMatrix): default method, does nothing","location" : {"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSparseCartanMatrix"]},{"name" : "Tester(SparseCartanMatrix)","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"]]],"locations" : [{"line" : 329,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSparseCartanMatrix"]},{"name" : "ApplySimpleReflection","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsList"]]],"locations" : [{"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 22,"comment" : "ApplySimpleReflection: for a sparse Cartan matrix, index and weight","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsList"],["IsInt"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ApplySimpleReflection"]},{"name" : "LongestWeylWordPerm","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"]]],"locations" : [{"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "LongestWeylWordPerm: system getter","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(LongestWeylWordPerm)"]]},{"rank" : 37,"comment" : "LongestWeylWordPerm: for Weyl group","location" : {"line" : 768,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsWeylGroup","Tester(IsWeylGroup)"]]},{"rank" : 0,"comment" : "LongestWeylWordPerm: default method requiring categories and checking properties","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LongestWeylWordPerm)","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"],[]]],"locations" : [{"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LongestWeylWordPerm): system setter","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LongestWeylWordPerm): default method, does nothing","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLongestWeylWordPerm"]},{"name" : "Tester(LongestWeylWordPerm)","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"]]],"locations" : [{"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLongestWeylWordPerm"]},{"name" : "ConjugateDominantWeight","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 39,"comment" : "ConjugateDominantWeight: for Weyl group and weight","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugateDominantWeight"]},{"name" : "ConjugateDominantWeightWithWord","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]],"locations" : [{"line" : 424,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 39,"comment" : "ConjugateDominantWeightWithWord: for Weyl group and weight","location" : {"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugateDominantWeightWithWord"]},{"name" : "WeylOrbitIterator","type" : "GAP_Operation","filters" : [[["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]],"locations" : [{"line" : 461,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 39,"comment" : "WeylOrbitIterator: for weights of a W-orbit","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsWeylGroup","Tester(IsWeylGroup)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WeylOrbitIterator"]},{"name" : "PositiveRootsAsWeights","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "PositiveRootsAsWeights: system getter","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(PositiveRootsAsWeights)"]]},{"rank" : 1,"comment" : "PositiveRootsAsWeights: for a root system","location" : {"line" : 1014,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsRootSystem"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PositiveRootsAsWeights)","type" : "GAP_Operation","filters" : [[["IsRootSystem"],[]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PositiveRootsAsWeights): system setter","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PositiveRootsAsWeights): default method, does nothing","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPositiveRootsAsWeights"]},{"name" : "Tester(PositiveRootsAsWeights)","type" : "GAP_Operation","filters" : [[["IsRootSystem"]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPositiveRootsAsWeights"]},{"name" : "DominantWeights","type" : "GAP_Operation","filters" : [[["IsRootSystem"],["IsList"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 3,"comment" : "DominantWeights: for a root system and a dominant weight","location" : {"line" : 1070,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsRootSystem"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DominantWeights"]},{"name" : "DominantCharacter","type" : "GAP_Operation","filters" : [[["IsRootSystem"],["IsList"]]],"locations" : [{"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "DominantCharacter: for a semisimple Lie algebra and a highest weight","location" : {"line" : 1251,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"]]},{"rank" : 3,"comment" : "DominantCharacter: for a root system and a highest weight","location" : {"line" : 1244,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsRootSystem"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DominantCharacter"]},{"name" : "DecomposeTensorProduct","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"],["IsList"]]],"locations" : [{"line" : 563,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 46,"comment" : "DecomposeTensorProduct: for a semisimple Lie algebra and two dominant weights","location" : {"line" : 1314,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DecomposeTensorProduct"]},{"name" : "DimensionOfHighestWeightModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"]]],"locations" : [{"line" : 599,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "DimensionOfHighestWeightModule: for a semisimple Lie algebra","location" : {"line" : 1346,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DimensionOfHighestWeightModule"]},{"name" : "LatticeGeneratorsInUEA","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20045,"comment" : "LatticeGeneratorsInUEA: system getter","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep","Tester(LatticeGeneratorsInUEA)"]]},{"rank" : 42,"comment" : "LatticeGeneratorsInUEA: for semsimple Lie algebra","location" : {"line" : 2581,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]},{"rank" : -55,"comment" : "LatticeGeneratorsInUEA: default method requiring categories and checking properties","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LatticeGeneratorsInUEA)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],[]]],"locations" : [{"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LatticeGeneratorsInUEA): system setter","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LatticeGeneratorsInUEA): default method, does nothing","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLatticeGeneratorsInUEA"]},{"name" : "Tester(LatticeGeneratorsInUEA)","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]]],"locations" : [{"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLatticeGeneratorsInUEA"]},{"name" : "HighestWeightModule","type" : "GAP_Operation","filters" : [[["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]],"locations" : [{"line" : 846,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "HighestWeightModule: for a Lie algebra and a list of non-negative integers","location" : {"line" : 3791,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HighestWeightModule"]},{"name" : "LeadingUEALatticeMonomial","type" : "GAP_Operation","filters" : [[["IsInt"],["IsUEALatticeElement"]]],"locations" : [{"line" : 870,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "LeadingUEALatticeMonomial: for an integer and a UEALattice element","location" : {"line" : 2634,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsInt"],["IsUEALatticeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingUEALatticeMonomial"]},{"name" : "Search","type" : "GAP_Operation","filters" : [[["IsSearchTable"],[]]],"locations" : [{"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "Search: for vector search tables in default representation","location" : {"line" : 2398,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsVectorSearchTableDefaultRep"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Search"]},{"name" : "Insert","type" : "GAP_Operation","filters" : [[["IsSearchTable"],[],[]]],"locations" : [{"line" : 979,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 9,"comment" : "Insert: for a vector search table in default representation","location" : {"line" : 2353,"file" : "\/home\/makx\/ac\/gap\/lib\/lierep.gi"},"filters" : [["IsVectorSearchTableDefaultRep"],["IsHomogeneousList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Insert"]},{"name" : "CoefficientsQadic","type" : "GAP_Operation","filters" : [[["IsInt"],["IsInt"]]],"locations" : [{"line" : 328,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "CoefficientsQadic: for two integers","location" : {"line" : 441,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CoefficientsQadic"]},{"name" : "PrimeDivisors","type" : "GAP_Operation","filters" : [[["IsInt"]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20021,"comment" : "PrimeDivisors: system getter","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimeDivisors)"]]},{"rank" : 18,"comment" : "PrimeDivisors: for integer","location" : {"line" : 759,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimeDivisors)","type" : "GAP_Operation","filters" : [[["IsInt"],[]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimeDivisors): system setter","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimeDivisors): default method, does nothing","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimeDivisors"]},{"name" : "Tester(PrimeDivisors)","type" : "GAP_Operation","filters" : [[["IsInt"]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimeDivisors"]},{"name" : "PartialFactorization","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"],["IsInt"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "PartialFactorization: for integers","location" : {"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"]]}],"2args" : [{"rank" : 36,"comment" : "PartialFactorization: generic method","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PartialFactorization"]},{"name" : "Phi","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "Phi: value of Euler's totient function of an integer","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Phi"]},{"name" : "Lambda","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "Lambda: exponent of the group of prime residues modulo an integer","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Lambda"]},{"name" : "Sigma","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 638,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "Sigma: sum of divisors of an integer","location" : {"line" : 1277,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Sigma"]},{"name" : "Tau","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 676,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "Tau: number of divisors of an integer","location" : {"line" : 1312,"file" : "\/home\/makx\/ac\/gap\/lib\/numtheor.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Tau"]},{"name" : "StandardGeneratorsSubringSCRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20032,"comment" : "StandardGeneratorsSubringSCRing: system getter","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(StandardGeneratorsSubringSCRing)"]]},{"rank" : 29,"comment" : "StandardGeneratorsSubringSCRing: for sc rings and their subrings","location" : {"line" : 693,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : -26,"comment" : "StandardGeneratorsSubringSCRing: default method requiring categories and checking properties","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","CategoryCollections(IsSCRingObj)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StandardGeneratorsSubringSCRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"],[]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StandardGeneratorsSubringSCRing): system setter","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StandardGeneratorsSubringSCRing): default method, does nothing","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStandardGeneratorsSubringSCRing"]},{"name" : "Tester(StandardGeneratorsSubringSCRing)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStandardGeneratorsSubringSCRing"]},{"name" : "Subrings","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "Subrings: system getter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(Subrings)"]]},{"rank" : 29,"comment" : "Subrings: for SC Rings","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : -14,"comment" : "Subrings: default method requiring categories and checking properties","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Subrings)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Subrings): system setter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Subrings): default method, does nothing","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubrings"]},{"name" : "Tester(Subrings)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubrings"]},{"name" : "Ideals","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20029,"comment" : "Ideals: system getter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(Ideals)"]]},{"rank" : 29,"comment" : "Ideals: for SC Rings","location" : {"line" : 1001,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : -14,"comment" : "Ideals: default method requiring categories and checking properties","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Ideals)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Ideals): system setter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Ideals): default method, does nothing","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdeals"]},{"name" : "Tester(Ideals)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdeals"]},{"name" : "DirectSumOp","type" : "GAP_Operation","filters" : [[["IsList"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 31,"comment" : "DirectSumOp: for SC Rings","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsList"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 28,"comment" : "DirectSumOp: for a list (of rings), and a ring","location" : {"line" : 1085,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gi"},"filters" : [["IsList"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectSumOp"]},{"name" : "DirectSumInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DirectSumInfo: system getter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep","Tester(DirectSumInfo)"]]},{"rank" : 0,"comment" : "DirectSumInfo: default method requiring categories and checking properties","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DirectSumInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DirectSumInfo): system mutable setter","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DirectSumInfo): default method, does nothing","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDirectSumInfo"]},{"name" : "Tester(DirectSumInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ringsc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDirectSumInfo"]},{"name" : "RingGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 60,"comment" : "RingGeneralMappingByImages: for two rings and two homogeneous lists","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["RingGeneralMappingByImages"]},{"name" : "RingHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 60,"comment" : "RingHomomorphismByImagesNC: for two rings and two homogeneous lists","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"5args" : [],"6args" : []},"aka" : ["RingHomomorphismByImagesNC"]},{"name" : "NaturalHomomorphismByIdeal","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10089,"comment" : "NaturalHomomorphismByIdeal: for FLMLOR and trivial FLMLOR","location" : {"line" : 1350,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsTrivial","Tester(IsTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 69,"comment" : "NaturalHomomorphismByIdeal: for free algebra and ideal","location" : {"line" : 450,"file" : "\/home\/makx\/ac\/gap\/lib\/algfp.gi"},"filters" : [["IsMagmaRingModuloRelations"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 68,"comment" : "NaturalHomomorphismByIdeal: for two finite dimensional FLMLORs","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/alghom.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"],["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]]},{"rank" : 58,"comment" : "NaturalHomomorphismByIdeal: sc rings","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/ringhom.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]]},{"rank" : 53,"comment" : "NaturalHomomorphismByIdeal: polynomial rings","location" : {"line" : 1379,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialRing"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismByIdeal"]},{"name" : "LucasMod","type" : "GAP_Operation","filters" : [[["IsInt"],["IsInt"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 1365,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 73,"comment" : "LucasMod: iterative method","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/primality.gi"},"filters" : [["IsInt"],["IsInt"],["IsInt"],["IsInt"]]},{"rank" : 72,"comment" : "LucasMod: recursive version, reduce mod N regularly","location" : {"line" : 2703,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gi"},"filters" : [["IsInt"],["IsInt"],["IsInt"],["IsInt"]]}],"5args" : [],"6args" : []},"aka" : ["LucasMod"]},{"name" : "Permanent","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "Permanent: system getter","location" : {"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"},"filters" : [["IsAttributeStoringRep","Tester(Permanent)"]]},{"rank" : 30,"comment" : "Permanent: for matrices","location" : {"line" : 1360,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Permanent)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Permanent): system setter","location" : {"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Permanent): default method, does nothing","location" : {"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPermanent"]},{"name" : "Tester(Permanent)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 1490,"file" : "\/home\/makx\/ac\/gap\/lib\/combinat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPermanent"]},{"name" : "RationalFunctionsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "RationalFunctionsFamily: system getter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(RationalFunctionsFamily)"]]},{"rank" : 37,"comment" : "RationalFunctionsFamily: floats pseudofield","location" : {"line" : 748,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"]]},{"rank" : 2,"comment" : "RationalFunctionsFamily","location" : {"line" : 812,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsFamily"]]},{"rank" : 0,"comment" : "RationalFunctionsFamily: not UFD ring","location" : {"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RationalFunctionsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RationalFunctionsFamily): system setter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RationalFunctionsFamily): default method, does nothing","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRationalFunctionsFamily"]},{"name" : "Tester(RationalFunctionsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRationalFunctionsFamily"]},{"name" : "CoefficientsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "CoefficientsFamily: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsFamily): system setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsFamily): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsFamily"]},{"name" : "Tester(CoefficientsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsFamily"]},{"name" : "NumeratorOfRationalFunction","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "NumeratorOfRationalFunction: system getter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(NumeratorOfRationalFunction)"]]},{"rank" : 15,"comment" : "NumeratorOfRationalFunction: univariate using ExtRepNumerator","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 13,"comment" : "NumeratorOfRationalFunction: call ExtRepNumerator","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NumeratorOfRationalFunction)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],[]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NumeratorOfRationalFunction): system setter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NumeratorOfRationalFunction): default method, does nothing","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNumeratorOfRationalFunction"]},{"name" : "Tester(NumeratorOfRationalFunction)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNumeratorOfRationalFunction"]},{"name" : "DenominatorOfRationalFunction","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "DenominatorOfRationalFunction: system getter","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(DenominatorOfRationalFunction)"]]},{"rank" : 15,"comment" : "DenominatorOfRationalFunction: univariate using ExtRepDenominator","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 13,"comment" : "DenominatorOfRationalFunction: call ExtRepDenominator","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DenominatorOfRationalFunction)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"],[]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DenominatorOfRationalFunction): system setter","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DenominatorOfRationalFunction): default method, does nothing","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDenominatorOfRationalFunction"]},{"name" : "Tester(DenominatorOfRationalFunction)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDenominatorOfRationalFunction"]},{"name" : "IsPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "IsPolynomial: system getter","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPolynomial)"]]},{"rank" : 20,"comment" : "IsPolynomial: laurent rep.","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomialDefaultRep"]]},{"rank" : 16,"comment" : "IsPolynomial: rational function rep.","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunctionDefaultRep"]]},{"rank" : 15,"comment" : "IsPolynomial: univariate","location" : {"line" : 1386,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "IsPolynomial: fallback for non-ratfun","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsBool"]]],"locations" : [{"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPolynomial): system setter","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPolynomial): default method, does nothing","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPolynomial"]},{"name" : "Tester(IsPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AsPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "AsPolynomial: system getter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsPolynomial)"]]},{"rank" : 15,"comment" : "AsPolynomial: call ExtRepPolynomial","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction","IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "AsPolynomial: default method requiring categories and checking properties","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsPolynomialFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsPolynomial): system setter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsPolynomial): default method, does nothing","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsPolynomial"]},{"name" : "Tester(AsPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsPolynomial"]},{"name" : "IsUnivariateRationalFunction","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsUnivariateRationalFunction: system getter","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 13,"comment" : "IsUnivariateRationalFunction: ratfun","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"],["IsBool"]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsUnivariateRationalFunction): system setter","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsUnivariateRationalFunction): default method, does nothing","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsUnivariateRationalFunction"]},{"name" : "Tester(IsUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsLaurentPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "IsLaurentPolynomial: system getter","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsLaurentPolynomial)"]]},{"rank" : 15,"comment" : "IsLaurentPolynomial: univariate","location" : {"line" : 1375,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "IsLaurentPolynomial","location" : {"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 13,"comment" : "IsLaurentPolynomial: ratfun","location" : {"line" : 348,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]},{"rank" : 0,"comment" : "IsLaurentPolynomial: fallback for non-ratfun","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsBool"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsLaurentPolynomial): system setter","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsLaurentPolynomial): default method, does nothing","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLaurentPolynomial"]},{"name" : "Tester(IsLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsConstantRationalFunction","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "IsConstantRationalFunction: system getter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsConstantRationalFunction)"]]},{"rank" : 14,"comment" : "IsConstantRationalFunction: polynomial","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 12,"comment" : "IsConstantRationalFunction: rational function","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsConstantRationalFunction)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsBool"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsConstantRationalFunction): system setter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsConstantRationalFunction): default method, does nothing","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsConstantRationalFunction"]},{"name" : "Tester(IsConstantRationalFunction)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ExtRepNumeratorRatFun","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "ExtRepNumeratorRatFun: system getter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExtRepNumeratorRatFun)"]]},{"rank" : 20,"comment" : "ExtRepNumeratorRatFun: laurent polynomial rep.","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomialDefaultRep"]]},{"rank" : 17,"comment" : "ExtRepNumeratorRatFun: polynomial rep -> ExtRepPolynomialRatFun","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialDefaultRep"]]},{"rank" : 15,"comment" : "ExtRepNumeratorRatFun: univariate","location" : {"line" : 1413,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ExtRepNumeratorRatFun)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],[]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExtRepNumeratorRatFun): system setter","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExtRepNumeratorRatFun): default method, does nothing","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExtRepNumeratorRatFun"]},{"name" : "Tester(ExtRepNumeratorRatFun)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExtRepNumeratorRatFun"]},{"name" : "ExtRepDenominatorRatFun","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "ExtRepDenominatorRatFun: system getter","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExtRepDenominatorRatFun)"]]},{"rank" : 20,"comment" : "ExtRepDenominatorRatFun: laurent polynomial rep.","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRationalFunction","IsLaurentPolynomialDefaultRep"]]},{"rank" : 15,"comment" : "ExtRepDenominatorRatFun: univariate","location" : {"line" : 1428,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 13,"comment" : "ExtRepDenominatorRatFun: polynomial, return constant","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ExtRepDenominatorRatFun)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"],[]]],"locations" : [{"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExtRepDenominatorRatFun): system setter","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExtRepDenominatorRatFun): default method, does nothing","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExtRepDenominatorRatFun"]},{"name" : "Tester(ExtRepDenominatorRatFun)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExtRepDenominatorRatFun"]},{"name" : "ZeroCoefficientRatFun","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "ZeroCoefficientRatFun: via family","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZeroCoefficientRatFun"]},{"name" : "ExtRepPolynomialRatFun","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "ExtRepPolynomialRatFun: system getter","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExtRepPolynomialRatFun)"]]},{"rank" : 22,"comment" : "ExtRepPolynomialRatFun: laurent polynomial rep.","location" : {"line" : 252,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsLaurentPolynomialDefaultRep"]],"aka" : ["EXTREP_POLYNOMIAL_LAURENT"]},{"rank" : 18,"comment" : "ExtRepPolynomialRatFun: rational function rep.","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsRationalFunctionDefaultRep"]]},{"rank" : 15,"comment" : "ExtRepPolynomialRatFun: univariate","location" : {"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "ExtRepPolynomialRatFun: default method requiring categories and checking properties","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsPolynomialFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ExtRepPolynomialRatFun)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExtRepPolynomialRatFun): system setter","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExtRepPolynomialRatFun): default method, does nothing","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExtRepPolynomialRatFun"]},{"name" : "Tester(ExtRepPolynomialRatFun)","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExtRepPolynomialRatFun"]},{"name" : "CoefficientsOfLaurentPolynomial","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "CoefficientsOfLaurentPolynomial: system getter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsOfLaurentPolynomial)"]]},{"rank" : 17,"comment" : "CoefficientsOfLaurentPolynomial: ratfun","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 0,"comment" : "CoefficientsOfLaurentPolynomial:  fallback method to test conditions","location" : {"line" : 1398,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "CoefficientsOfLaurentPolynomial: default method requiring categories and checking properties","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsOfLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],[]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsOfLaurentPolynomial): system setter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsOfLaurentPolynomial): default method, does nothing","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsOfLaurentPolynomial"]},{"name" : "Tester(CoefficientsOfLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsOfLaurentPolynomial"]},{"name" : "IndeterminateNumberOfUnivariateRationalFunction","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IndeterminateNumberOfUnivariateRationalFunction: system getter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndeterminateNumberOfUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "IndeterminateNumberOfUnivariateRationalFunction: ratfun","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "IndeterminateNumberOfUnivariateRationalFunction: default method requiring categories and checking properties","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndeterminateNumberOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndeterminateNumberOfUnivariateRationalFunction): system setter","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndeterminateNumberOfUnivariateRationalFunction): default method, does nothing","location" : {"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndeterminateNumberOfLaurentPolynomial","SetIndeterminateNumberOfUnivariateLaurentPolynomial","SetIndeterminateNumberOfUnivariateRationalFunction"]},{"name" : "Tester(IndeterminateNumberOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndeterminateNumberOfLaurentPolynomial","HasIndeterminateNumberOfUnivariateLaurentPolynomial","HasIndeterminateNumberOfUnivariateRationalFunction"]},{"name" : "LaurentPolynomialByCoefficients","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 651,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 21,"comment" : "LaurentPolynomialByCoefficients: fam, cof,val","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"],["IsInt"]]}],"4args" : [{"rank" : 75,"comment" : "LaurentPolynomialByCoefficients: ring","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"],["IsInt"],["IsInt"]]},{"rank" : 40,"comment" : "LaurentPolynomialByCoefficients: warn about iterated polynomials","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily","Tester(CoefficientsFamily)"],["IsList"],["IsInt"],["IsInt"]]},{"rank" : 39,"comment" : "LaurentPolynomialByCoefficients: with indeterminate","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"],["IsInt"],["IsInt"]]}],"5args" : [],"6args" : []},"aka" : ["LaurentPolynomialByCoefficients","UnivariateLaurentPolynomialByCoefficients"]},{"name" : "IndeterminateOfUnivariateRationalFunction","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IndeterminateOfUnivariateRationalFunction: system getter","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndeterminateOfUnivariateRationalFunction)"]]},{"rank" : 15,"comment" : "IndeterminateOfUnivariateRationalFunction: use `IndeterminateNumber'","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "IndeterminateOfUnivariateRationalFunction: default method requiring categories and checking properties","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndeterminateOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndeterminateOfUnivariateRationalFunction): system setter","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndeterminateOfUnivariateRationalFunction): default method, does nothing","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndeterminateOfUnivariateRationalFunction"]},{"name" : "Tester(IndeterminateOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndeterminateOfUnivariateRationalFunction"]},{"name" : "IndeterminateName","type" : "GAP_Operation","filters" : [[["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 895,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "IndeterminateName: for rational function families","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IndeterminateName"]},{"name" : "HasIndeterminateName","type" : "GAP_Operation","filters" : [[["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 897,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "HasIndeterminateName: for rational function families","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndeterminateName"]},{"name" : "SetIndeterminateName","type" : "GAP_Operation","filters" : [[["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"],["IsString"]]],"locations" : [{"line" : 899,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 26,"comment" : "SetIndeterminateName: for rational function families","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunctionsFamily"],["IsInt","IsPosRat"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndeterminateName"]},{"name" : "CoefficientsOfUnivariatePolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "CoefficientsOfUnivariatePolynomial: system getter","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsOfUnivariatePolynomial)"]]},{"rank" : 19,"comment" : "CoefficientsOfUnivariatePolynomial: use laurent coeffs","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "CoefficientsOfUnivariatePolynomial:  fallback method to test conditions","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction"]]},{"rank" : 0,"comment" : "CoefficientsOfUnivariatePolynomial: default method requiring categories and checking properties","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsOfUnivariatePolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsOfUnivariatePolynomial): system setter","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsOfUnivariatePolynomial): default method, does nothing","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsOfUnivariatePolynomial"]},{"name" : "Tester(CoefficientsOfUnivariatePolynomial)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsOfUnivariatePolynomial"]},{"name" : "DegreeOfLaurentPolynomial","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "DegreeOfLaurentPolynomial: system getter","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfLaurentPolynomial)"]]},{"rank" : 17,"comment" : "DegreeOfLaurentPolynomial","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 0,"comment" : "DegreeOfLaurentPolynomial: default method requiring categories and checking properties","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],[]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfLaurentPolynomial): system setter","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfLaurentPolynomial): default method, does nothing","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfLaurentPolynomial"]},{"name" : "Tester(DegreeOfLaurentPolynomial)","type" : "GAP_Operation","filters" : [[["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]],"locations" : [{"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfLaurentPolynomial"]},{"name" : "UnivariatePolynomialByCoefficients","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsInt"]]],"locations" : [{"line" : 978,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 3,"comment" : "UnivariatePolynomialByCoefficients: fam,cof","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"]]}],"3args" : [{"rank" : 57,"comment" : "UnivariatePolynomialByCoefficients: ring","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"],["IsInt"]]},{"rank" : 22,"comment" : "UnivariatePolynomialByCoefficients: fam, cof,ind","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnivariatePolynomialByCoefficients"]},{"name" : "UnivariatePolynomial","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 997,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 39,"comment" : "UnivariatePolynomial: ring,cof","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]]},{"rank" : 29,"comment" : "UnivariatePolynomial: ring,empty cof","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsEmpty","Tester(IsEmpty)"]]}],"3args" : [{"rank" : 58,"comment" : "UnivariatePolynomial: ring,cof,indn","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsInt","IsPosRat"]]},{"rank" : 54,"comment" : "UnivariatePolynomial: ring,cof,indpol","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"],["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 29,"comment" : "UnivariatePolynomial: ring,empty cof, indnr","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsEmpty","Tester(IsEmpty)"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnivariatePolynomial"]},{"name" : "CoefficientsOfUnivariateRationalFunction","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "CoefficientsOfUnivariateRationalFunction: system getter","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsOfUnivariateRationalFunction)"]]},{"rank" : 17,"comment" : "CoefficientsOfUnivariateRationalFunction: laurent polynomial","location" : {"line" : 1360,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 15,"comment" : "CoefficientsOfUnivariateRationalFunction: ratfun","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "CoefficientsOfUnivariateRationalFunction: default method requiring categories and checking properties","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsOfUnivariateRationalFunction): system setter","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsOfUnivariateRationalFunction): default method, does nothing","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsOfUnivariateRationalFunction"]},{"name" : "Tester(CoefficientsOfUnivariateRationalFunction)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsOfUnivariateRationalFunction"]},{"name" : "UnivariateRationalFunctionByCoefficients","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 59,"comment" : "UnivariateRationalFunctionByCoefficients: ring","location" : {"line" : 773,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"],["IsList"],["IsInt"]]},{"rank" : 23,"comment" : "UnivariateRationalFunctionByCoefficients: fam, ncof,dcof,val","location" : {"line" : 1317,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"],["IsInt"]]}],"5args" : [{"rank" : 77,"comment" : "UnivariateRationalFunctionByCoefficients: ring","location" : {"line" : 793,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"],["IsList"],["IsInt"],["IsInt"]]},{"rank" : 41,"comment" : "UnivariateRationalFunctionByCoefficients: with indeterminate","location" : {"line" : 1309,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"],["IsInt"],["IsInt"]]}],"6args" : []},"aka" : ["UnivariateRationalFunctionByCoefficients"]},{"name" : "Value","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsList"],["IsList"]],[["IsFloatRationalFunction"],["IsFloat"]]],"locations" : [{"line" : 1096,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},{"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "Value: supply `one'","location" : {"line" : 1162,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 0,"comment" : "Value:  fallback method to test conditions","location" : {"line" : 1165,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomialFunction"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 33,"comment" : "Value: Laurent, ring element, and mult. neutral element","location" : {"line" : 1129,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 31,"comment" : "Value: univariate rational function","location" : {"line" : 1152,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]},{"rank" : 16,"comment" : "Value: rational function: supply `one'","location" : {"line" : 1390,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsList"],["IsList"]]}],"4args" : [{"rank" : 24,"comment" : "Value: rat.fun., with one","location" : {"line" : 1384,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsList"],["IsList"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"5args" : [],"6args" : []},"aka" : ["Value"]},{"name" : "LeadingMonomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 1219,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "LeadingMonomial: for a univariate laurent polynomial","location" : {"line" : 916,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 14,"comment" : "LeadingMonomial: multivariate polynomials wrt total degree","location" : {"line" : 1406,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingMonomial"]},{"name" : "LeadingCoefficient","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"]]],"locations" : [{"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "LeadingCoefficient: laurent","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 17,"comment" : "LeadingCoefficient: multivariate polynomials wrt total degree","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsPolynomialDefaultRep"]]}],"2args" : [{"rank" : 33,"comment" : "LeadingCoefficient: multivariate","location" : {"line" : 1433,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingCoefficient"]},{"name" : "PolynomialCoefficientsOfPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1286,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "PolynomialCoefficientsOfPolynomial: polynomial,integer","location" : {"line" : 1454,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]},{"rank" : 28,"comment" : "PolynomialCoefficientsOfPolynomial: polynomial,indet","location" : {"line" : 1462,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolynomialCoefficientsOfPolynomial"]},{"name" : "DegreeIndeterminate","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1311,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "DegreeIndeterminate: laurent,indetnr","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"],["IsInt","IsPosRat"]]},{"rank" : 33,"comment" : "DegreeIndeterminate: pol,indetnr","location" : {"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]},{"rank" : 31,"comment" : "DegreeIndeterminate: pol,indet","location" : {"line" : 1297,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DegreeIndeterminate"]},{"name" : "Derivative","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],[["IsPolynomialFunction"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},{"line" : 1339,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "Derivative: system getter","location" : {"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(Derivative)"]]},{"rank" : 18,"comment" : "Derivative: for float laurent polynomial","location" : {"line" : 969,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)","IsFloatRationalFunction"]]},{"rank" : 17,"comment" : "Derivative: Laurent Polynomials","location" : {"line" : 1074,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 15,"comment" : "Derivative: uratfun,ind","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "Derivative:  fallback method to test conditions","location" : {"line" : 1089,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "Derivative:  fallback method to test conditions","location" : {"line" : 1077,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "Derivative: default method requiring categories and checking properties","location" : {"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [{"rank" : 31,"comment" : "Derivative: ratfun,inum","location" : {"line" : 1527,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsInt","IsPosRat"]]},{"rank" : 28,"comment" : "Derivative: poly,ind","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 26,"comment" : "Derivative: ratfun,ind","location" : {"line" : 1548,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Derivative)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Derivative): system setter","location" : {"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Derivative): default method, does nothing","location" : {"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivative"]},{"name" : "Tester(Derivative)","type" : "GAP_Operation","filters" : [[["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 1338,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivative"]},{"name" : "Resultant","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1367,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 47,"comment" : "Resultant: pol,pol,inum","location" : {"line" : 1661,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]},{"rank" : 42,"comment" : "Resultant: pol,pol,indet","location" : {"line" : 1670,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Resultant"]},{"name" : "Discriminant","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]],[["IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},{"line" : 1400,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "Discriminant: system getter","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep","Tester(Discriminant)"]]},{"rank" : 19,"comment" : "Discriminant: univariate","location" : {"line" : 1105,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "Discriminant:  fallback method to test conditions","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfunul.gi"},"filters" : [["IsRationalFunction"]]},{"rank" : 0,"comment" : "Discriminant: default method requiring categories and checking properties","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[]]}],"2args" : [{"rank" : 33,"comment" : "Discriminant: poly,inum","location" : {"line" : 1507,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsInt","IsPosRat"]]},{"rank" : 28,"comment" : "Discriminant: poly,ind","location" : {"line" : 1513,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"],["IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Discriminant)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Discriminant): system setter","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Discriminant): default method, does nothing","location" : {"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDiscriminant"]},{"name" : "Tester(Discriminant)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 1399,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDiscriminant"]},{"name" : "HeuristicCancelPolynomialsExtRep","type" : "GAP_Operation","filters" : [[["IsRationalFunctionsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 1472,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 9,"comment" : "HeuristicCancelPolynomialsExtRep: rationals","location" : {"line" : 2153,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsRationalFunctionsFamily"],["IsList"],["IsList"]]},{"rank" : 8,"comment" : "HeuristicCancelPolynomialsExtRep: ignore","location" : {"line" : 1060,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsRationalFunctionsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HeuristicCancelPolynomialsExtRep"]},{"name" : "ZippedSum","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"],[],["IsList"]]],"locations" : [{"line" : 1640,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 6,"comment" : "ZippedSum","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsList"],["IsList"],[],["IsList"]],"aka" : ["ZIPPED_SUM_LISTS"]}],"5args" : [],"6args" : []},"aka" : ["ZippedSum"]},{"name" : "ZippedProduct","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"],[],["IsList"]]],"locations" : [{"line" : 1663,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 6,"comment" : "ZippedProduct","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/ratfun.gi"},"filters" : [["IsList"],["IsList"],[],["IsList"]],"aka" : ["ZIPPED_PRODUCT_LISTS"]}],"5args" : [],"6args" : []},"aka" : ["ZippedProduct"]},{"name" : "PrimeField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20054,"comment" : "PrimeField: system getter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimeField)"]]},{"rank" : 82,"comment" : "PrimeField: for finite field of FFEs","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 65,"comment" : "PrimeField: for abelian number field of cyclotomics","location" : {"line" : 562,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 56,"comment" : "PrimeField: for a prime field","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : 52,"comment" : "PrimeField: for a division ring","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "PrimeField: default method requiring categories and checking properties","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimeField): system setter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimeField): default method, does nothing","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimeField"]},{"name" : "Tester(PrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimeField"]},{"name" : "IsPrimeField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20054,"comment" : "IsPrimeField: system getter","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimeField)"]]},{"rank" : 52,"comment" : "IsPrimeField: for a division ring","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "IsPrimeField: default method requiring categories and checking properties","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsBool"]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimeField): system setter","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimeField): default method, does nothing","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPrimeField"]},{"name" : "Tester(IsPrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DefiningPolynomial","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "DefiningPolynomial: system getter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(DefiningPolynomial)"]]},{"rank" : 419,"comment" : "DefiningPolynomial: for a field of FFEs","location" : {"line" : 582,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "DefiningPolynomial: default method requiring categories and checking properties","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DefiningPolynomial)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DefiningPolynomial): system setter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DefiningPolynomial): default method, does nothing","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefiningPolynomial"]},{"name" : "Tester(DefiningPolynomial)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDefiningPolynomial"]},{"name" : "DegreeOverPrimeField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20054,"comment" : "DegreeOverPrimeField: system getter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOverPrimeField)"]]},{"rank" : 54,"comment" : "DegreeOverPrimeField","location" : {"line" : 392,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : -100,"comment" : "DegreeOverPrimeField: default method requiring categories and checking properties","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOverPrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOverPrimeField): system setter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOverPrimeField): default method, does nothing","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOverPrimeField"]},{"name" : "Tester(DegreeOverPrimeField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOverPrimeField"]},{"name" : "GeneratorsOfDivisionRing","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20054,"comment" : "GeneratorsOfDivisionRing: system getter","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfDivisionRing)"]]},{"rank" : 65,"comment" : "GeneratorsOfDivisionRing: for abelian number field of cyclotomics","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 56,"comment" : "GeneratorsOfDivisionRing: for a prime field","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]]},{"rank" : -100,"comment" : "GeneratorsOfDivisionRing: default method requiring categories and checking properties","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfDivisionRing)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsOfDivisionRing): system setter","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfDivisionRing): default method, does nothing","location" : {"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfDivisionRing","SetGeneratorsOfField"]},{"name" : "Tester(GeneratorsOfDivisionRing)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfDivisionRing","HasGeneratorsOfField"]},{"name" : "NormalBase","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "NormalBase: system getter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalBase)"]]},{"rank" : 54,"comment" : "NormalBase: for a field (in characteristic zero)","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "NormalBase: default method requiring categories and checking properties","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [{"rank" : 68,"comment" : "NormalBase: for a finite field and scalar","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 64,"comment" : "NormalBase: for a field (in characteristic zero), and a scalar","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalBase)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalBase): system setter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalBase): default method, does nothing","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalBase"]},{"name" : "Tester(NormalBase)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalBase"]},{"name" : "PrimitiveElement","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20054,"comment" : "PrimitiveElement: system getter","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimitiveElement)"]]},{"rank" : 52,"comment" : "PrimitiveElement: for a division ring","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "PrimitiveElement: default method requiring categories and checking properties","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimitiveElement)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimitiveElement): system setter","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimitiveElement): default method, does nothing","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimitiveElement"]},{"name" : "Tester(PrimitiveElement)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimitiveElement"]},{"name" : "PrimitiveRoot","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20060,"comment" : "PrimitiveRoot: system getter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimitiveRoot)"]]},{"rank" : 432,"comment" : "PrimitiveRoot","location" : {"line" : 1452,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 58,"comment" : "PrimitiveRoot: for a finite prime field","location" : {"line" : 1069,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "PrimitiveRoot: default method requiring categories and checking properties","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimitiveRoot)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimitiveRoot): system setter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimitiveRoot): default method, does nothing","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimitiveRoot"]},{"name" : "Tester(PrimitiveRoot)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimitiveRoot"]},{"name" : "RootOfDefiningPolynomial","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "RootOfDefiningPolynomial: system getter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(RootOfDefiningPolynomial)"]]},{"rank" : 419,"comment" : "RootOfDefiningPolynomial: for a small field of FFEs","location" : {"line" : 626,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "RootOfDefiningPolynomial: default method requiring categories and checking properties","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RootOfDefiningPolynomial)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RootOfDefiningPolynomial): system setter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RootOfDefiningPolynomial): default method, does nothing","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRootOfDefiningPolynomial"]},{"name" : "Tester(RootOfDefiningPolynomial)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRootOfDefiningPolynomial"]},{"name" : "AsDivisionRing","type" : "GAP_Operation","filters" : [[["IsCollection"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 337,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "AsDivisionRing: for a collection","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 104,"comment" : "AsDivisionRing: for two division rings","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 54,"comment" : "AsDivisionRing: for a division ring, and a collection","location" : {"line" : 628,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ClosureDivisionRing","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10064,"comment" : "ClosureDivisionRing: for a division ring containing the whole family, and a scalar","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsWholeFamily","Tester(IsWholeFamily)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 69,"comment" : "ClosureDivisionRing: for division ring and empty list","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 62,"comment" : "ClosureDivisionRing: for a division ring and a scalar","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 54,"comment" : "ClosureDivisionRing: for division ring and collection of elements","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClosureDivisionRing","ClosureField"]},{"name" : "Subfields","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "Subfields: system getter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(Subfields)"]]},{"rank" : 82,"comment" : "Subfields: for finite field of FFEs","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 65,"comment" : "Subfields: for abelian number field of cyclotomics","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 58,"comment" : "Subfields: for finite fields that are not FFEs","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "Subfields: default method requiring categories and checking properties","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Subfields)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Subfields): system setter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Subfields): default method, does nothing","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubfields"]},{"name" : "Tester(Subfields)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubfields"]},{"name" : "FieldExtension","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 436,"comment" : "FieldExtension: for a field of FFEs, and a univ. Laurent polynomial","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 82,"comment" : "FieldExtension: for field of cyclotomics, and univ. polynomial (degree <= 2)","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]]},{"rank" : 73,"comment" : "FieldExtension: generic","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["AlgebraicExtension"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FieldExtension"]},{"name" : "Conjugates","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "Conjugates: system getter","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(Conjugates)"]]},{"rank" : 10,"comment" : "Conjugates: for a scalar (delegate to version with default field)","location" : {"line" : 678,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"2args" : [{"rank" : 64,"comment" : "Conjugates: for a field and a scalar (delegate to version with two fields)","location" : {"line" : 686,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"3args" : [{"rank" : 879,"comment" : "Conjugates: for two fields of FFEs, and a FFE","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"]]},{"rank" : 155,"comment" : "Conjugates: for Rationals, Rationals, and a rational","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsRat"]]},{"rank" : 148,"comment" : "Conjugates: for cycl. field of cyclotomics, ab. number field, and cyclotomic","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 146,"comment" : "Conjugates: for two abelian number fields of cyclotomics, and cyclotomic","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 119,"comment" : "Conjugates: for two fields and a scalar (call `GaloisGroup')","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldControlledByGaloisGroup"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 118,"comment" : "Conjugates: for two fields and a scalar (call `TracePolynomial')","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Conjugates)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Conjugates): system setter","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Conjugates): default method, does nothing","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugates"]},{"name" : "Tester(Conjugates)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugates"]},{"name" : "Norm","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsClassFunction"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 593,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 594,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 1320,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "Norm: system getter","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(Norm)"]]},{"rank" : 31,"comment" : "Norm: for a class function","location" : {"line" : 1761,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 12,"comment" : "Norm: for floats","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloat"]]},{"rank" : 10,"comment" : "Norm: for a scalar (delegate to version with default field)","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"2args" : [{"rank" : 64,"comment" : "Norm: for a field and a scalar (delegate to version with two fields)","location" : {"line" : 769,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 26,"comment" : "Norm: for an ordinary character table and a homogeneous list","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 879,"comment" : "Norm: for two fields of FFEs, and a FFE","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"]]},{"rank" : 148,"comment" : "Norm: for cycl. field of cyclotomics, ab. number field, and cyclotomic","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 146,"comment" : "Norm: for two abelian number fields of cyclotomics, and cyclotomic","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 119,"comment" : "Norm: for two fields and a scalar (use `Conjugates')","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldControlledByGaloisGroup"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 118,"comment" : "Norm: for two fields and a scalar (use the trace pol.)","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Norm)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]],[["IsClassFunction"],[]]],"locations" : [{"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Norm): system setter","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Norm): default method, does nothing","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNorm"]},{"name" : "Tester(Norm)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNorm"]},{"name" : "Trace","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "Trace: system getter","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(Trace)"]]},{"rank" : 30,"comment" : "Trace: generic method for matrices","location" : {"line" : 3786,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 10,"comment" : "Trace: for a scalar (delegate to version with default field)","location" : {"line" : 809,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"2args" : [{"rank" : 64,"comment" : "Trace: for a field and a scalar (delegate to version with two fields)","location" : {"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"3args" : [{"rank" : 879,"comment" : "Trace: for two fields of FFEs, and a FFE","location" : {"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"]]},{"rank" : 148,"comment" : "Trace: for cycl. field of cyclotomics, ab. number field, and cyclotomic","location" : {"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsCyclotomicField","Tester(IsCyclotomicField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 146,"comment" : "Trace: for two abelian number fields of cyclotomics, and cyclotomic","location" : {"line" : 783,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["CategoryCollections(IsCyclotomic)","IsAbelianNumberField","Tester(IsAbelianNumberField)"],["IsCyc"]]},{"rank" : 119,"comment" : "Trace: for two fields and a scalar (use `Conjugates')","location" : {"line" : 830,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsFieldControlledByGaloisGroup"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 118,"comment" : "Trace: for two fields and a scalar (use the trace pol.)","location" : {"line" : 846,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Trace)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]],[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Trace): system setter","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Trace): default method, does nothing","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTrace"]},{"name" : "Tester(Trace)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTrace"]},{"name" : "TracePolynomial","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},{"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 118,"comment" : "TracePolynomial: add default indet. 1","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]}],"4args" : [{"rank" : 137,"comment" : "TracePolynomial: using minimal polynomial","location" : {"line" : 939,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []}},{"name" : "GaloisGroup","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]],[["IsRationalClassGroupRep"]]],"locations" : [{"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "GaloisGroup: system getter","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(GaloisGroup)"]]},{"rank" : 59,"comment" : "GaloisGroup: for abelian number field ","location" : {"line" : 2114,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsAbelianNumberField","Tester(IsAbelianNumberField)"]]},{"rank" : 58,"comment" : "GaloisGroup: for a finite field","location" : {"line" : 911,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 11,"comment" : "GaloisGroup","location" : {"line" : 676,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]},{"rank" : -100,"comment" : "GaloisGroup: default method requiring categories and checking properties","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GaloisGroup)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]],[["IsRationalClassGroupRep"],[]]],"locations" : [{"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GaloisGroup): system setter","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GaloisGroup): default method, does nothing","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGaloisGroup"]},{"name" : "Tester(GaloisGroup)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGaloisGroup"]},{"name" : "ComplexConjugate","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsList"]]],"locations" : [{"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "ComplexConjugate: system getter","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComplexConjugate)"]]},{"rank" : 38,"comment" : "ComplexConjugate: for a class function","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["CategoryCollections(IsCyclotomic)","IsClassFunction"]]},{"rank" : 25,"comment" : "ComplexConjugate: for a quaternion","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsQuaternion","IsSCAlgebraObj"]]},{"rank" : 16,"comment" : "ComplexConjugate: for a cyclotomic","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsCyc"]]},{"rank" : 15,"comment" : "ComplexConjugate: for macfloats","location" : {"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 2,"comment" : "ComplexConjugate: for a list","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComplexConjugate)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]],[["IsList"],[]]],"locations" : [{"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComplexConjugate): system setter","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComplexConjugate): default method, does nothing","location" : {"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComplexConjugate"]},{"name" : "Tester(ComplexConjugate)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComplexConjugate"]},{"name" : "RealPart","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsList"]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "RealPart: system getter","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(RealPart)"]]},{"rank" : 25,"comment" : "RealPart: for a quaternion","location" : {"line" : 844,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsQuaternion","IsSCAlgebraObj"]]},{"rank" : 15,"comment" : "RealPart: for macfloats","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 10,"comment" : "RealPart: for a scalar","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]},{"rank" : 2,"comment" : "RealPart: for a list","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RealPart)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]],[["IsList"],[]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RealPart): system setter","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RealPart): default method, does nothing","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRealPart"]},{"name" : "Tester(RealPart)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRealPart"]},{"name" : "ImaginaryPart","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]],[["IsList"]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20013,"comment" : "ImaginaryPart: system getter","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImaginaryPart)"]]},{"rank" : 25,"comment" : "ImaginaryPart: for a quaternion","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/algsc.gi"},"filters" : [["IsQuaternion","IsSCAlgebraObj"]]},{"rank" : 16,"comment" : "ImaginaryPart: for a cyclotomic","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsCyc"]]},{"rank" : 15,"comment" : "ImaginaryPart: for macfloats","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/ieee754.g"},"filters" : [["IsIEEE754FloatRep"]]},{"rank" : 2,"comment" : "ImaginaryPart: for a list","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImaginaryPart)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],[]],[["IsList"],[]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImaginaryPart): system setter","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImaginaryPart): default method, does nothing","location" : {"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImaginaryPart"]},{"name" : "Tester(ImaginaryPart)","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 758,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImaginaryPart"]},{"name" : "DivisionRingByGenerators","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]],"locations" : [{"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "DivisionRingByGenerators: for collection of cyclotomics","location" : {"line" : 1428,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 2,"comment" : "DivisionRingByGenerators: for a collection","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 441,"comment" : "DivisionRingByGenerators: for two coll. of FFEs, the first a field","location" : {"line" : 1037,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsFFE)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["CategoryCollections(IsFFE)"]]},{"rank" : 82,"comment" : "DivisionRingByGenerators: for field and collection, both collections of cyclotomics","location" : {"line" : 1461,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["CategoryCollections(IsCyclotomic)"]]},{"rank" : 54,"comment" : "DivisionRingByGenerators: for a division ring, and a collection","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DivisionRingByGenerators","FieldByGenerators"]},{"name" : "FieldOverItselfByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 807,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "FieldOverItselfByGenerators: for a collection of FFEs","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["CategoryCollections(IsFFE)"]]},{"rank" : 2,"comment" : "FieldOverItselfByGenerators: for a collection","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsCollection"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FieldOverItselfByGenerators"]},{"name" : "DefaultFieldByGenerators","type" : "GAP_Operation","filters" : [[["IsCollection"]]],"locations" : [{"line" : 826,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 29,"comment" : "DefaultFieldByGenerators: for a collection of FFEs that is a list","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsList","CategoryCollections(IsFFE)"]]},{"rank" : 29,"comment" : "DefaultFieldByGenerators: alg elms","location" : {"line" : 1023,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsList","CategoryCollections(IsAlgebraicElement)"]]},{"rank" : 22,"comment" : "DefaultFieldByGenerators: for collection of cyclotomics","location" : {"line" : 1471,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"]]},{"rank" : 2,"comment" : "DefaultFieldByGenerators: for a collection","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsCollection"]]}],"2args" : [{"rank" : 87,"comment" : "DefaultFieldByGenerators: for a finite field, and a collection of FFEs that is a list","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList","CategoryCollections(IsFFE)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DefaultFieldByGenerators"]},{"name" : "FrobeniusAutomorphism","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "FrobeniusAutomorphism: system getter","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep","Tester(FrobeniusAutomorphism)"]]},{"rank" : 54,"comment" : "FrobeniusAutomorphism: for a field","location" : {"line" : 689,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "FrobeniusAutomorphism: default method requiring categories and checking properties","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FrobeniusAutomorphism)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],[]]],"locations" : [{"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FrobeniusAutomorphism): system setter","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FrobeniusAutomorphism): default method, does nothing","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrobeniusAutomorphism"]},{"name" : "Tester(FrobeniusAutomorphism)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrobeniusAutomorphism"]},{"name" : "NthRoot","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1018,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 88,"comment" : "NthRoot: for a field of FFEs, and a FFE","location" : {"line" : 888,"file" : "\/home\/makx\/ac\/gap\/lib\/ffe.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsFFE"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NthRoot"]},{"name" : "ZmodnZObj","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsZmodnZObjNonprime)"],["IsInt"]],[["IsInt"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "ZmodnZObj: for a positive integer, and an integer -- check small primes","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsInt"],["IsInt","IsPosRat"]]},{"rank" : 23,"comment" : "ZmodnZObj: for family of FFE elements, and integer","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["CategoryFamily(IsFFE)"],["IsInt"]]},{"rank" : 23,"comment" : "ZmodnZObj: for family of elements in Z\/nZ (nonprime), and integer","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["CategoryFamily(IsZmodnZObjNonprime)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZmodnZObj","ZmodpZObj"]},{"name" : "ModulusOfZmodnZObj","type" : "GAP_Operation","filters" : [[["IsZmodnZObj"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "ModulusOfZmodnZObj: system getter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"filters" : [["IsAttributeStoringRep","Tester(ModulusOfZmodnZObj)"]]},{"rank" : 16,"comment" : "ModulusOfZmodnZObj: for element in Z\/pZ (prime)","location" : {"line" : 1140,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE","IsZmodnZObj"]]},{"rank" : 15,"comment" : "ModulusOfZmodnZObj: for FFE","location" : {"line" : 1151,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsFFE"]]},{"rank" : 15,"comment" : "ModulusOfZmodnZObj: for element in Z\/nZ (nonprime)","location" : {"line" : 1135,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["IsZmodnZObjNonprime"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ModulusOfZmodnZObj)","type" : "GAP_Operation","filters" : [[["IsZmodnZObj"],[]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ModulusOfZmodnZObj): system setter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ModulusOfZmodnZObj): default method, does nothing","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetModulusOfZmodnZObj"]},{"name" : "Tester(ModulusOfZmodnZObj)","type" : "GAP_Operation","filters" : [[["IsZmodnZObj"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasModulusOfZmodnZObj"]},{"name" : "Cyclotomic","type" : "GAP_Operation","filters" : [[["IsZmodnZepsObj"]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "Cyclotomic: system getter","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [["IsAttributeStoringRep","Tester(Cyclotomic)"]]},{"rank" : 13,"comment" : "Cyclotomic: zmodnze : for element in Z\/nZ(m) (ZmodnZepsRep)","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gi"},"filters" : [["IsZmodnZepsObj","IsZmodnZepsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Cyclotomic)","type" : "GAP_Operation","filters" : [[["IsZmodnZepsObj"],[]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Cyclotomic): system setter","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Cyclotomic): default method, does nothing","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCyclotomic"]},{"name" : "Tester(Cyclotomic)","type" : "GAP_Operation","filters" : [[["IsZmodnZepsObj"]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCyclotomic"]},{"name" : "IsRingOfIntegralCyclotomics","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20031,"comment" : "IsRingOfIntegralCyclotomics: system getter","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRingOfIntegralCyclotomics)"]]},{"rank" : -25,"comment" : "IsRingOfIntegralCyclotomics: default method requiring categories and checking properties","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRingOfIntegralCyclotomics)","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRingOfIntegralCyclotomics): system setter","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRingOfIntegralCyclotomics): default method, does nothing","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRingOfIntegralCyclotomics"]},{"name" : "Tester(IsRingOfIntegralCyclotomics)","type" : "GAP_Operation","filters" : [[["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsRingOfIntegralCyclotomics"]},{"name" : "RoundCyc","type" : "GAP_Operation","filters" : [[["IsCyclotomic"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "RoundCyc: Integer","location" : {"line" : 1775,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"]]},{"rank" : 17,"comment" : "RoundCyc: Rational","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsRat"]]},{"rank" : 15,"comment" : "RoundCyc: general cyclotomic","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsCyclotomic"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RoundCyc"]},{"name" : "RoundCycDown","type" : "GAP_Operation","filters" : [[["IsCyclotomic"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "RoundCycDown: Integer","location" : {"line" : 1782,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"]]},{"rank" : 17,"comment" : "RoundCycDown: Rational","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/rational.gi"},"filters" : [["IsRat"]]},{"rank" : 15,"comment" : "RoundCycDown: general cyclotomic","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsCyclotomic"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RoundCycDown"]},{"name" : "GaloisMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "GaloisMat: system getter","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [["IsAttributeStoringRep","Tester(GaloisMat)"]]},{"rank" : 42,"comment" : "GaloisMat: for a matrix of cyclotomics","location" : {"line" : 1691,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GaloisMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GaloisMat): system setter","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GaloisMat): default method, does nothing","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGaloisMat"]},{"name" : "Tester(GaloisMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGaloisMat"]},{"name" : "RationalizedMat","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "RationalizedMat: system getter","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [["IsAttributeStoringRep","Tester(RationalizedMat)"]]},{"rank" : 30,"comment" : "RationalizedMat: for a matrix","location" : {"line" : 1718,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 17,"comment" : "RationalizedMat: for an empty list","location" : {"line" : 1724,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsList","IsEmpty","Tester(IsEmpty)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RationalizedMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RationalizedMat): system setter","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RationalizedMat): default method, does nothing","location" : {"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRationalizedMat"]},{"name" : "Tester(RationalizedMat)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 961,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRationalizedMat"]},{"name" : "IsNumberField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "IsNumberField: system getter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNumberField)"]]},{"rank" : 54,"comment" : "IsNumberField: for a field","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "IsNumberField: default method requiring categories and checking properties","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNumberField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsBool"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNumberField): system setter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNumberField): default method, does nothing","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNumberField"]},{"name" : "Tester(IsNumberField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsAbelianNumberField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "IsAbelianNumberField: system getter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAbelianNumberField)"]]},{"rank" : 54,"comment" : "IsAbelianNumberField: for a field","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "IsAbelianNumberField: default method requiring categories and checking properties","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAbelianNumberField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsBool"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAbelianNumberField): system setter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAbelianNumberField): default method, does nothing","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAbelianNumberField"]},{"name" : "Tester(IsAbelianNumberField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCyclotomicField","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20056,"comment" : "IsCyclotomicField: system getter","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCyclotomicField)"]]},{"rank" : 54,"comment" : "IsCyclotomicField: for a field","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -100,"comment" : "IsCyclotomicField: default method requiring categories and checking properties","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsNearAdditiveMagma","IsNearAdditiveGroup","IsEuclideanRing"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCyclotomicField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsBool"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCyclotomicField): system setter","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCyclotomicField): default method, does nothing","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCyclotomicField"]},{"name" : "Tester(IsCyclotomicField)","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GaloisStabilizer","type" : "GAP_Operation","filters" : [[["IsAbelianNumberField","Tester(IsAbelianNumberField)"]]],"locations" : [{"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20061,"comment" : "GaloisStabilizer: system getter","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep","Tester(GaloisStabilizer)"]]},{"rank" : 0,"comment" : "GaloisStabilizer: default method requiring categories and checking properties","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GaloisStabilizer)","type" : "GAP_Operation","filters" : [[["IsAbelianNumberField","Tester(IsAbelianNumberField)"],[]]],"locations" : [{"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GaloisStabilizer): system setter","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GaloisStabilizer): default method, does nothing","location" : {"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGaloisStabilizer"]},{"name" : "Tester(GaloisStabilizer)","type" : "GAP_Operation","filters" : [[["IsAbelianNumberField","Tester(IsAbelianNumberField)"]]],"locations" : [{"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGaloisStabilizer"]},{"name" : "ExponentOfPowering","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "ExponentOfPowering: system getter","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExponentOfPowering)"]]},{"rank" : 17,"comment" : "ExponentOfPowering: for an identity mapping","location" : {"line" : 1794,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsOne","Tester(IsOne)","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 14,"comment" : "ExponentOfPowering: for an ANFAutomorphism","location" : {"line" : 1789,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsANFAutomorphismRep"]]},{"rank" : 11,"comment" : "ExponentOfPowering: for a mapping (check whether it is the identity mapping)","location" : {"line" : 1805,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 0,"comment" : "ExponentOfPowering: default method requiring categories and checking properties","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ExponentOfPowering)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],[]]],"locations" : [{"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExponentOfPowering): system setter","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExponentOfPowering): default method, does nothing","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExponentOfPowering"]},{"name" : "Tester(ExponentOfPowering)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/fldabnum.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExponentOfPowering"]},{"name" : "Valuation","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 14,"comment" : "Valuation","location" : {"line" : 1027,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicExtensionNumber"]]},{"rank" : 14,"comment" : "Valuation","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPurePadicNumber"]]}],"2args" : [{"rank" : 36,"comment" : "Valuation: for two integers","location" : {"line" : 1843,"file" : "\/home\/makx\/ac\/gap\/lib\/integer.gi"},"filters" : [["IsInt"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Valuation"]},{"name" : "PadicNumber","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsPadicNumber)"],[]]],"locations" : [{"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "PadicNumber: for a pure p-adic family and a list","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPurePadicNumber)"],["CategoryCollections(IsCyclotomic)"]]},{"rank" : 22,"comment" : "PadicNumber: for a p-adic extension family and a rational","location" : {"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPadicExtensionNumber)"],["IsRat"]]},{"rank" : 22,"comment" : "PadicNumber: for a pure p-adic family and a rational","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPurePadicNumber)"],["IsRat"]]},{"rank" : 7,"comment" : "PadicNumber: for a p-adic extension family and a list","location" : {"line" : 844,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["CategoryFamily(IsPadicExtensionNumber)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PadicNumber"]},{"name" : "ShiftedPadicNumber","type" : "GAP_Operation","filters" : [[["IsPadicNumber"],["IsInt"]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 31,"comment" : "ShiftedPadicNumber","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/padics.gi"},"filters" : [["IsPadicNumber"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShiftedPadicNumber"]},{"name" : "CoefficientsRing","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20030,"comment" : "CoefficientsRing: system getter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [["IsAttributeStoringRep","Tester(CoefficientsRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CoefficientsRing)","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"],[]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CoefficientsRing): system setter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CoefficientsRing): default method, does nothing","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCoefficientsRing"]},{"name" : "Tester(CoefficientsRing)","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCoefficientsRing"]},{"name" : "Indeterminate","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 37,"comment" : "Indeterminate: number 1","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"]]},{"rank" : 26,"comment" : "Indeterminate: number 1","location" : {"line" : 394,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"2args" : [{"rank" : 56,"comment" : "Indeterminate: number","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "Indeterminate: number","location" : {"line" : 383,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"]]},{"rank" : 42,"comment" : "Indeterminate: number, name","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsString"]]},{"rank" : 39,"comment" : "Indeterminate: number, avoid","location" : {"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"]]},{"rank" : 31,"comment" : "Indeterminate: number, name","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsString"]]},{"rank" : 28,"comment" : "Indeterminate: number, avoid","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]},{"rank" : 23,"comment" : "Indeterminate","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["CategoryFamily(IsFloat)"],["IsInt","IsPosRat"]]},{"rank" : 20,"comment" : "Indeterminate: fam,number","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsFamily"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 44,"comment" : "Indeterminate: number, name, avoid","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsString"],["IsList"]]},{"rank" : 33,"comment" : "Indeterminate: number, name, avoid","location" : {"line" : 425,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsString"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Indeterminate","X"]},{"name" : "UnivariatePolynomialRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 354,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "UnivariatePolynomialRing: indet 1","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"2args" : [{"rank" : 45,"comment" : "UnivariatePolynomialRing: indet number","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"]]},{"rank" : 31,"comment" : "UnivariatePolynomialRing: name","location" : {"line" : 293,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsString"]]},{"rank" : 28,"comment" : "UnivariatePolynomialRing: avoid","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]}],"3args" : [{"rank" : 33,"comment" : "UnivariatePolynomialRing: name,avoid","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsString"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnivariatePolynomialRing"]},{"name" : "IndeterminatesOfPolynomialRing","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20030,"comment" : "IndeterminatesOfPolynomialRing: system getter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndeterminatesOfPolynomialRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndeterminatesOfPolynomialRing)","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"],[]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndeterminatesOfPolynomialRing): system setter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndeterminatesOfPolynomialRing): default method, does nothing","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndeterminatesOfFunctionField","SetIndeterminatesOfPolynomialRing"]},{"name" : "Tester(IndeterminatesOfPolynomialRing)","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndeterminatesOfFunctionField","HasIndeterminatesOfPolynomialRing"]},{"name" : "PolynomialRing","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "PolynomialRing","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"2args" : [{"rank" : 45,"comment" : "PolynomialRing: rank","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "PolynomialRing: indetlist","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsFloatPseudoField"],["IsList"]]},{"rank" : 31,"comment" : "PolynomialRing: name","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsString"]]},{"rank" : 29,"comment" : "PolynomialRing: indetlist","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]},{"rank" : 28,"comment" : "PolynomialRing: names","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]}],"3args" : [{"rank" : 47,"comment" : "PolynomialRing: rank,avoid","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"],["IsList"]]},{"rank" : 30,"comment" : "PolynomialRing: names,avoid","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolynomialRing"]},{"name" : "MinimalPolynomial","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsAdditiveElement","IsMultiplicativeElement"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "MinimalPolynomial: supply field and indeterminate 1","location" : {"line" : 774,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [{"rank" : 49,"comment" : "MinimalPolynomial: supply field","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsInt","IsPosRat"]]},{"rank" : 32,"comment" : "MinimalPolynomial: supply indeterminate 1","location" : {"line" : 620,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsAdditiveElement","IsMultiplicativeElement"]]}],"3args" : [{"rank" : 104,"comment" : "MinimalPolynomial: spinning over field","location" : {"line" : 760,"file" : "\/home\/makx\/ac\/gap\/lib\/matrix.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsOrdinaryMatrix"],["IsInt","IsPosRat"]]},{"rank" : 101,"comment" : "MinimalPolynomial: for floats","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsFloat"],["IsInt","IsPosRat"]]},{"rank" : 90,"comment" : "MinimalPolynomial","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/ffeconway.gi"},"filters" : [["IsPrimeField","Tester(IsPrimeField)"],["IsFFE","IsCoeffsModConwayPolRep"],["IsInt","IsPosRat"]]},{"rank" : 88,"comment" : "MinimalPolynomial: AlgElm","location" : {"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsAlgebraicElement"],["IsInt","IsPosRat"]]},{"rank" : 87,"comment" : "MinimalPolynomial: finite field, finite field element, and indet. number","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/fieldfin.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]},{"rank" : 83,"comment" : "MinimalPolynomial: for field, scalar, and indet. number","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/field.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MinimalPolynomial"]},{"name" : "FunctionField","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],[]]],"locations" : [{"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "FunctionField","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"2args" : [{"rank" : 45,"comment" : "FunctionField: rank","location" : {"line" : 725,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"]]},{"rank" : 29,"comment" : "FunctionField: indetlist","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]},{"rank" : 28,"comment" : "FunctionField: names","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]}],"3args" : [{"rank" : 47,"comment" : "FunctionField: rank,avoid","location" : {"line" : 732,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt","IsPosRat"],["IsList"]]},{"rank" : 30,"comment" : "FunctionField: names,avoid","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ringpoly.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FunctionField"]},{"name" : "SplittingField","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "SplittingField: system getter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [["IsAttributeStoringRep","Tester(SplittingField)"]]},{"rank" : 19,"comment" : "SplittingField: finite field polynomials","location" : {"line" : 809,"file" : "\/home\/makx\/ac\/gap\/lib\/polyfinf.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "SplittingField: default method requiring categories and checking properties","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SplittingField)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SplittingField): system setter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SplittingField): default method, does nothing","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSplittingField"]},{"name" : "Tester(SplittingField)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSplittingField"]},{"name" : "IrrFacsPol","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20017,"comment" : "IrrFacsPol: system getter","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [["IsAttributeStoringRep","Tester(IrrFacsPol)"]]},{"rank" : 14,"comment" : "IrrFacsPol","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "IrrFacsPol: default method requiring categories and checking properties","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IrrFacsPol)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IrrFacsPol): system mutable setter","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IrrFacsPol): default method, does nothing","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrrFacsPol"]},{"name" : "Tester(IrrFacsPol)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrrFacsPol"]},{"name" : "FactorsSquarefree","type" : "GAP_Operation","filters" : [[["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRecord"]]],"locations" : [{"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 49,"comment" : "FactorsSquarefree: univariate rational poly","location" : {"line" : 1744,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsRationalsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRecord"]]},{"rank" : 48,"comment" : "FactorsSquarefree: for a polynomial over a field of cyclotomics","location" : {"line" : 1839,"file" : "\/home\/makx\/ac\/gap\/lib\/cyclotom.gi"},"filters" : [["IsAbelianNumberFieldPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRecord"]]},{"rank" : 48,"comment" : "FactorsSquarefree: polynomial\/alg. ext.","location" : {"line" : 2020,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtensionPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRecord"]]},{"rank" : 48,"comment" : "FactorsSquarefree: univariate polynomial over finite field","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/polyfinf.gi"},"filters" : [["IsFiniteFieldPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FactorsSquarefree"]},{"name" : "IsPrimitivePolynomial","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsRationalFunction"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 67,"comment" : "IsPrimitivePolynomial: for a (finite) field, and a polynomial","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/upoly.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsRationalFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPrimitivePolynomial"]},{"name" : "PrimitivePolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "PrimitivePolynomial: univariate polynomial","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 14,"comment" : "PrimitivePolynomial: rational polynomial","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrimitivePolynomial"]},{"name" : "MinimizedBombieriNorm","type" : "GAP_Operation","filters" : [[["IsRationalFunctionsFamilyElement","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "MinimizedBombieriNorm: system getter","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimizedBombieriNorm)"]]},{"rank" : 17,"comment" : "MinimizedBombieriNorm","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gi"},"filters" : [["IsRationalFunctionsFamilyElement","IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 0,"comment" : "MinimizedBombieriNorm: default method requiring categories and checking properties","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"},"filters" : [["IsRationalFunctionsFamilyElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimizedBombieriNorm)","type" : "GAP_Operation","filters" : [[["IsRationalFunctionsFamilyElement","IsPolynomial","Tester(IsPolynomial)"],[]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimizedBombieriNorm): system setter","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimizedBombieriNorm): default method, does nothing","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimizedBombieriNorm"]},{"name" : "Tester(MinimizedBombieriNorm)","type" : "GAP_Operation","filters" : [[["IsRationalFunctionsFamilyElement","IsPolynomial","Tester(IsPolynomial)"]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/polyrat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimizedBombieriNorm"]},{"name" : "AlgebraicElementsFamilies","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "AlgebraicElementsFamilies: system getter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [["IsAttributeStoringRep","Tester(AlgebraicElementsFamilies)"]]},{"rank" : 19,"comment" : "AlgebraicElementsFamilies","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]},{"rank" : 0,"comment" : "AlgebraicElementsFamilies: default method requiring categories and checking properties","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AlgebraicElementsFamilies)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],[]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AlgebraicElementsFamilies): system mutable setter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AlgebraicElementsFamilies): default method, does nothing","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAlgebraicElementsFamilies"]},{"name" : "Tester(AlgebraicElementsFamilies)","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAlgebraicElementsFamilies"]},{"name" : "AlgebraicElementsFamily","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 73,"comment" : "AlgebraicElementsFamily: generic","location" : {"line" : 150,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AlgebraicElementsFamily"]},{"name" : "AlgebraicExtension","type" : "GAP_Operation","filters" : [[["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]]],"locations" : [{"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 73,"comment" : "AlgebraicExtension: generic","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["DoAlgebraicExt"]},{"rank" : 0,"comment" : "AlgebraicExtension:  fallback method to test conditions","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsRationalFunction"]]}],"3args" : [{"rank" : 78,"comment" : "AlgebraicExtension: with name","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsString"]]},{"rank" : 0,"comment" : "AlgebraicExtension:  fallback method to test conditions","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsRationalFunction"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "MaxNumeratorCoeffAlgElm","type" : "GAP_Operation","filters" : [[["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 17,"comment" : "MaxNumeratorCoeffAlgElm: algebraic element","location" : {"line" : 909,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement","IsKroneckerConstRep"]]},{"rank" : 17,"comment" : "MaxNumeratorCoeffAlgElm: algebraic element","location" : {"line" : 903,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicElement","IsAlgBFRep"]]},{"rank" : 17,"comment" : "MaxNumeratorCoeffAlgElm: rational","location" : {"line" : 897,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MaxNumeratorCoeffAlgElm"]},{"name" : "DefectApproximation","type" : "GAP_Operation","filters" : [[["IsAlgebraicExtension"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20057,"comment" : "DefectApproximation: system getter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [["IsAttributeStoringRep","Tester(DefectApproximation)"]]},{"rank" : 55,"comment" : "DefectApproximation: Algebraic Extension","location" : {"line" : 1200,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsAlgebraicExtension"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DefectApproximation)","type" : "GAP_Operation","filters" : [[["IsAlgebraicExtension"],[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DefectApproximation): system setter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DefectApproximation): default method, does nothing","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefectApproximation"]},{"name" : "Tester(DefectApproximation)","type" : "GAP_Operation","filters" : [[["IsAlgebraicExtension"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDefectApproximation"]},{"name" : "Unknown","type" : "GAP_Operation","filters" : [[],[["IsInt","IsPosRat"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gd"},{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "Unknown: for positive integer","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/unknown.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Unknown"]},{"name" : "MappedWord","type" : "GAP_Operation","filters" : [[["IsWord"],["CategoryCollections(IsWord)"],["IsList"]]],"locations" : [{"line" : 384,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 123,"comment" : "MappedWord: for a straight line program word, and two lists","location" : {"line" : 2054,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"],["CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 22,"comment" : "MappedWord: for fp group element","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsPackedElementDefaultRep"],["IsList","CategoryCollections(IsElementOfFpGroup)"],["IsList"]]},{"rank" : 20,"comment" : "MappedWord: for a letter assoc. word, a homogeneous list, and a list","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 20,"comment" : "MappedWord: for a syllable assoc. word, a homogeneous list, and a list","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]],"aka" : ["MappedWordSyllableAssocWord"]},{"rank" : 16,"comment" : "MappedWord: for a nonassoc. word, a homogeneous list, and a list","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [["IsNonassocWord"],["CategoryCollections(IsNonassocWord)"],["IsList"]]},{"rank" : 5,"comment" : "MappedWord: empty generators list","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/word.gi"},"filters" : [[],["IsEmpty","Tester(IsEmpty)"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MappedWord"]},{"name" : "IsFreeSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20021,"comment" : "IsFreeSemigroup: system getter","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFreeSemigroup)"]]},{"rank" : -5,"comment" : "IsFreeSemigroup: default method requiring categories and checking properties","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsMagma","CategoryCollections((IsWord and IsAssociativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFreeSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"],["IsBool"]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFreeSemigroup): system setter","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFreeSemigroup): default method, does nothing","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFreeSemigroup"]},{"name" : "Tester(IsFreeSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections((IsWord and IsAssociativeElement))"]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFreeMonoid","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "IsFreeMonoid: system getter","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFreeMonoid)"]]},{"rank" : -4,"comment" : "IsFreeMonoid: default method requiring categories and checking properties","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsMagmaWithOne","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFreeMonoid)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"],["IsBool"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFreeMonoid): system setter","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFreeMonoid): default method, does nothing","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFreeMonoid"]},{"name" : "Tester(IsFreeMonoid)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AssignGeneratorVariables","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "AssignGeneratorVariables: default method for a group","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 29,"comment" : "AssignGeneratorVariables: default method for a LOR","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 27,"comment" : "AssignGeneratorVariables: default method for a ring","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(GeneratorsOfRing)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AssignGeneratorVariables"]},{"name" : "Subword","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 145,"comment" : "Subword: for a straight line program word","location" : {"line" : 2040,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"],["IsInt"],["IsInt"]]},{"rank" : 43,"comment" : "Subword: for letter associative word and two positions","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsInt","IsPosRat"],["IsInt"]]},{"rank" : 43,"comment" : "Subword: for syllable associative word and two positions","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsInt","IsPosRat"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Subword"]},{"name" : "PositionWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 569,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "PositionWord: for two associative words,start at 1","location" : {"line" : 718,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]}],"3args" : [{"rank" : 30,"comment" : "PositionWord: for two associative words and a positive integer, using letters","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"]]},{"rank" : 30,"comment" : "PositionWord: for two associative words and a positive integer, using syllables","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionWord"]},{"name" : "SubstitutedWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsAssociativeElement","IsWord"]],[["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},{"line" : 625,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 48,"comment" : "SubstitutedWord: for assoc. word, two positive integers, and assoc. word","location" : {"line" : 858,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsAssociativeElement","IsWord"]]},{"rank" : 34,"comment" : "SubstitutedWord: for three associative words","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsAssociativeElement","IsWord"]]}],"5args" : [],"6args" : []},"aka" : ["SubstitutedWord"]},{"name" : "EliminatedWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 15,"comment" : "EliminatedWord: for three associative words, using the external rep.","location" : {"line" : 920,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EliminatedWord"]},{"name" : "ExponentSumWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "ExponentSumWord: letter rep as.word, gen","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsAssociativeElement","IsWord"]]},{"rank" : 11,"comment" : "ExponentSumWord: syllable rep as.word, gen","location" : {"line" : 1530,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentSumWord"]},{"name" : "NumberSyllables","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "NumberSyllables: system getter","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep","Tester(NumberSyllables)"]]},{"rank" : 109,"comment" : "NumberSyllables: for a straight line program word","location" : {"line" : 2000,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"]]},{"rank" : 8,"comment" : "NumberSyllables: for an inf. bits assoc. word","location" : {"line" : 852,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"]],"aka" : ["InfBits_NumberSyllables"]},{"rank" : 8,"comment" : "NumberSyllables: for a 32 bits assoc. word","location" : {"line" : 701,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"]],"aka" : ["32Bits_NumberSyllables"]},{"rank" : 8,"comment" : "NumberSyllables: for a 16 bits assoc. word","location" : {"line" : 608,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"]],"aka" : ["16Bits_NumberSyllables"]},{"rank" : 8,"comment" : "NumberSyllables: for an 8 bits assoc. word","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"]],"aka" : ["8Bits_NumberSyllables"]},{"rank" : 6,"comment" : "NumberSyllables: assoc word in letter rep","location" : {"line" : 170,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]},{"rank" : 6,"comment" : "NumberSyllables: for an assoc. word in syllable rep","location" : {"line" : 1503,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NumberSyllables)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],[]]],"locations" : [{"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NumberSyllables): system setter","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NumberSyllables): default method, does nothing","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrSyllables","SetNumberSyllables"]},{"name" : "Tester(NumberSyllables)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrSyllables","HasNumberSyllables"]},{"name" : "ExponentSyllable","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 128,"comment" : "ExponentSyllable: for a straight line program word","location" : {"line" : 2020,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"],["IsInt","IsPosRat"]]},{"rank" : 27,"comment" : "ExponentSyllable: for an inf. bits assoc. word, and a pos. integer","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"],["IsInt","IsPosRat"]],"aka" : ["InfBits_ExponentSyllable"]},{"rank" : 27,"comment" : "ExponentSyllable: for a 32 bits assoc. word, and pos. integer","location" : {"line" : 689,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["IsInt","IsPosRat"]],"aka" : ["32Bits_ExponentSyllable"]},{"rank" : 27,"comment" : "ExponentSyllable: for a 16 bits assoc. word, and pos. integer","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["IsInt","IsPosRat"]],"aka" : ["16Bits_ExponentSyllable"]},{"rank" : 27,"comment" : "ExponentSyllable: for an 8 bits assoc. word, and a pos. integer","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["IsInt","IsPosRat"]],"aka" : ["8Bits_ExponentSyllable"]},{"rank" : 25,"comment" : "ExponentSyllable: assoc word in letter rep","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 25,"comment" : "ExponentSyllable: for an assoc. word in syllable rep, and a positive integer","location" : {"line" : 1482,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentSyllable"]},{"name" : "GeneratorSyllable","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsInt"]]],"locations" : [{"line" : 754,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 128,"comment" : "GeneratorSyllable: for a straight line program word","location" : {"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"],["IsInt","IsPosRat"]]},{"rank" : 27,"comment" : "GeneratorSyllable: for a 32 bits assoc. word, and pos. integer","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["IsInt","IsPosRat"]],"aka" : ["32Bits_GeneratorSyllable"]},{"rank" : 26,"comment" : "GeneratorSyllable: assoc word in B letter rep","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsBLetterAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "GeneratorSyllable: assoc word in W letter rep","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsWLetterAssocWordRep"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "GeneratorSyllable: for an inf. bits assoc. word, and an integer","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"],["IsInt"]],"aka" : ["InfBits_GeneratorSyllable"]},{"rank" : 26,"comment" : "GeneratorSyllable: for a 16 bits assoc. word, and integer","location" : {"line" : 602,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["IsInt"]],"aka" : ["16Bits_GeneratorSyllable"]},{"rank" : 26,"comment" : "GeneratorSyllable: for an 8 bits assoc. word, and an integer","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["IsInt"]],"aka" : ["8Bits_GeneratorSyllable"]},{"rank" : 25,"comment" : "GeneratorSyllable: for an assoc. word in syllable rep, and a positive integer","location" : {"line" : 1494,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneratorSyllable"]},{"name" : "SubSyllables","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 42,"comment" : "SubSyllables: for associative word and two positions, using ext rep.","location" : {"line" : 708,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord"],["IsInt","IsPosRat"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubSyllables"]},{"name" : "LetterRepAssocWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 109,"comment" : "LetterRepAssocWord: for a straight line program word","location" : {"line" : 1990,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsAssociativeElement","IsWord","IsStraightLineProgElm"]]},{"rank" : 7,"comment" : "LetterRepAssocWord: B letter rep","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsBLetterAssocWordRep"]]},{"rank" : 7,"comment" : "LetterRepAssocWord: W letter rep","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsWLetterAssocWordRep"]]},{"rank" : 6,"comment" : "LetterRepAssocWord: syllable rep","location" : {"line" : 1370,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsSyllableAssocWordRep"]]}],"2args" : [{"rank" : 10,"comment" : "LetterRepAssocWord: letter rep,gens","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsLetterAssocWordRep"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "LetterRepAssocWord: syllable rep, generators","location" : {"line" : 1350,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsSyllableAssocWordRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LetterRepAssocWord","TietzeWordAbstractWord","TzWordAbstractWord"]},{"name" : "AssocWordByLetterRep","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "AssocWordByLetterRep: B letter words family","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsBLetterWordsFamily"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "AssocWordByLetterRep: W letter words family","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsWLetterWordsFamily"],["IsHomogeneousList"]]},{"rank" : 7,"comment" : "AssocWordByLetterRep: family, list: syllables","location" : {"line" : 1410,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsSyllableWordsFamily"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 11,"comment" : "AssocWordByLetterRep: letter words family","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsLetterWordsFamily"],["IsHomogeneousList"],["IsHomogeneousList"]]},{"rank" : 11,"comment" : "AssocWordByLetterRep: family, list, gens: syllables","location" : {"line" : 1454,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsSyllableWordsFamily"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AbstractWordTzWord","AssocWordByLetterRep"]},{"name" : "SyllableRepAssocWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 867,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "SyllableRepAssocWord: assoc word in syllable rep","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]]},{"rank" : 5,"comment" : "SyllableRepAssocWord: assoc word: via extrep","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsAssociativeElement","IsWord"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SyllableRepAssocWord"]},{"name" : "ExponentSums","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 925,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "ExponentSums: for an inf. bits assoc. word","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"]],"aka" : ["InfBits_ExponentSums1"]},{"rank" : 8,"comment" : "ExponentSums: for a 32 bits assoc. word","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"]],"aka" : ["32Bits_ExponentSums1"]},{"rank" : 8,"comment" : "ExponentSums: for a 16 bits assoc. word","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"]],"aka" : ["16Bits_ExponentSums1"]},{"rank" : 8,"comment" : "ExponentSums: for an 8 bits assoc. word","location" : {"line" : 521,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"]],"aka" : ["8Bits_ExponentSums1"]},{"rank" : 6,"comment" : "ExponentSums: assoc word in letter rep","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]}],"2args" : [{"rank" : 40,"comment" : "ExponentSums: for a group and an assoc. word in syllable rep","location" : {"line" : 1559,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsAssociativeElement","IsWord"]]}],"3args" : [{"rank" : 45,"comment" : "ExponentSums: for an inf. bits assoc. word, and two integers","location" : {"line" : 892,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["IsInfBitsAssocWord"],["IsInt"],["IsInt"]],"aka" : ["InfBits_ExponentSums3"]},{"rank" : 44,"comment" : "ExponentSums: for a 32 bits assoc. word","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is32BitsAssocWord"],["IsInt"],["IsInt"]],"aka" : ["32Bits_ExponentSums3"]},{"rank" : 44,"comment" : "ExponentSums: for a 16 bits assoc. word, and two integers","location" : {"line" : 620,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is16BitsAssocWord"],["IsInt"],["IsInt"]],"aka" : ["16Bits_ExponentSums3"]},{"rank" : 44,"comment" : "ExponentSums: for an 8 bits assoc. word, and two integers","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/wordrep.gi"},"filters" : [["Is8BitsAssocWord"],["IsInt"],["IsInt"]],"aka" : ["8Bits_ExponentSums3"]},{"rank" : 42,"comment" : "ExponentSums: assoc word in letter rep,ints","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentSums"]},{"name" : "RenumberedWord","type" : "GAP_Operation","filters" : [[["IsAssociativeElement","IsWord"],["IsList"]]],"locations" : [{"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "RenumberedWord: associative words in letter rep","location" : {"line" : 624,"file" : "\/home\/makx\/ac\/gap\/lib\/wordlett.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"],["IsList"]]},{"rank" : 8,"comment" : "RenumberedWord: associative words in syllable rep","location" : {"line" : 939,"file" : "\/home\/makx\/ac\/gap\/lib\/wordass.gi"},"filters" : [["IsAssociativeElement","IsWord","IsSyllableAssocWordRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RenumberedWord"]},{"name" : "BaseDomain","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]],[["IsMatrixObj"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "BaseDomain: system getter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaseDomain)"]]},{"rank" : 15,"comment" : "BaseDomain: for a plist matrix","location" : {"line" : 753,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "BaseDomain: for an 8bit matrix","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "BaseDomain: for a gf2 matrix","location" : {"line" : 2114,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "BaseDomain: for a plist vector","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "BaseDomain: for an 8bit vector","location" : {"line" : 988,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "BaseDomain: for a gf2 vector","location" : {"line" : 2112,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaseDomain)","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],[]],[["IsMatrixObj"],[]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaseDomain): system setter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaseDomain): default method, does nothing","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaseDomain"]},{"name" : "Tester(BaseDomain)","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaseDomain"]},{"name" : "PositionLastNonZero","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]],[["IsMatrixObj"]],[["IsMatrixObj"],["IsInt"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 403,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "PositionLastNonZero: for a plist matrix","location" : {"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 12,"comment" : "PositionLastNonZero: for a matrix obj","location" : {"line" : 2189,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMatrixObj"]],"aka" : ["PositionLastNonZeroFunc"]},{"rank" : 11,"comment" : "PositionLastNonZero: for a plist vector","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 9,"comment" : "PositionLastNonZero: for a row vector obj","location" : {"line" : 2189,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsRowVectorObj"]]}],"2args" : [{"rank" : 33,"comment" : "PositionLastNonZero: for a plist matrix, and a position","location" : {"line" : 1095,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsInt"]]},{"rank" : 31,"comment" : "PositionLastNonZero: for a matrix obj, and an index","location" : {"line" : 2193,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMatrixObj"],["IsInt","IsPosRat"]],"aka" : ["PositionLastNonZeroFunc2"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionLastNonZero"]},{"name" : "Unpack","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]],[["IsRowListMatrix"]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "Unpack: for a plist matrix","location" : {"line" : 1043,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "Unpack: for an 8bit matrix","location" : {"line" : 1090,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "Unpack: for a gf2 matrix","location" : {"line" : 2272,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 11,"comment" : "Unpack: for a plist vector","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "Unpack: for an 8bit vector","location" : {"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "Unpack: for a gf2 vector","location" : {"line" : 2275,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Unpack"]},{"name" : "ExtractSubVector","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsList"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "ExtractSubVector: generic method","location" : {"line" : 262,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsRowVectorObj"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtractSubVector"]},{"name" : "ZeroVector","type" : "GAP_Operation","filters" : [[["IsInt"],["IsRowVectorObj"]],[["IsInt"],["IsMatrixObj"]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "ZeroVector: for an integer and a plist matrix","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsInt"],["IsPlistMatrixRep"]]},{"rank" : 33,"comment" : "ZeroVector: for an int and an 8bit matrix","location" : {"line" : 981,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsInt"],["Is8BitMatrixRep"]]},{"rank" : 33,"comment" : "ZeroVector: for an int and a gf2 matrix","location" : {"line" : 2104,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt"],["IsGF2MatrixRep"]]},{"rank" : 29,"comment" : "ZeroVector: for an integer and a plist vector","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsInt"],["IsPlistVectorRep"]]},{"rank" : 29,"comment" : "ZeroVector: for an int and an 8bit vector","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsInt"],["Is8BitVectorRep"]]},{"rank" : 29,"comment" : "ZeroVector: for an int and a gf2 vector","location" : {"line" : 2098,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt"],["IsGF2VectorRep"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZeroVector"]},{"name" : "Vector","type" : "GAP_Operation","filters" : [[["IsList"],["IsRowVectorObj"]]],"locations" : [{"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "Vector: for a plist of finite field elements and an 8bitvector","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList","CategoryCollections(IsFFE)"],["Is8BitVectorRep"]]},{"rank" : 40,"comment" : "Vector: for a list of gf2 elements and a gf2 vector","location" : {"line" : 2122,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList","CategoryCollections(IsFFE)"],["IsGF2VectorRep"]]},{"rank" : 32,"comment" : "Vector: for a plain list and a plist vector","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsList","IsPlistRep"],["IsPlistVectorRep"]]},{"rank" : 13,"comment" : "Vector: for a list and a plist vector","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsList"],["IsPlistVectorRep"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Vector"]},{"name" : "ConstructingFilter","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]],[["IsMatrixObj"]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 633,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 16,"comment" : "ConstructingFilter: for a checking plist matrix","location" : {"line" : 1807,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"]]},{"rank" : 15,"comment" : "ConstructingFilter: for a plist matrix","location" : {"line" : 1819,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "ConstructingFilter: for an 8bit matrix","location" : {"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "ConstructingFilter: for a gf2 matrix","location" : {"line" : 2298,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]},{"rank" : 12,"comment" : "ConstructingFilter: for a checking plist vector","location" : {"line" : 1801,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"]]},{"rank" : 11,"comment" : "ConstructingFilter: for a plist vector","location" : {"line" : 1813,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "ConstructingFilter: for an 8bit vector","location" : {"line" : 1134,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "ConstructingFilter: for a gf2 vector","location" : {"line" : 2296,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConstructingFilter"]},{"name" : "CompatibleMatrix","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 11,"comment" : "CompatibleMatrix: for a plist vector","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"]]},{"rank" : 11,"comment" : "CompatibleMatrix: for an 8bit vector","location" : {"line" : 1256,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "CompatibleMatrix: for a gf2 vector","location" : {"line" : 2415,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CompatibleMatrix"]},{"name" : "NewRowVector","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]],"locations" : [{"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -11,"comment" : "NewRowVector: for Is8BitVectorRep, GF(q), and a list","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList"]]},{"rank" : -11,"comment" : "NewRowVector: for IsGF2VectorRep, GF(2), and a list","location" : {"line" : 2312,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsList"]]},{"rank" : -12,"comment" : "NewRowVector: for IsPlistVectorRep, a ring, and a list","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewRowVector"]},{"name" : "NewZeroVector","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]],"locations" : [{"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -11,"comment" : "NewZeroVector: for Is8BitVectorRep, GF(q), and an int","location" : {"line" : 1159,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]},{"rank" : -11,"comment" : "NewZeroVector: for IsGF2VectorRep, GF(2), and an int","location" : {"line" : 2331,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]},{"rank" : -12,"comment" : "NewZeroVector: for IsPlistVectorRep, a ring, and an int","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewZeroVector"]},{"name" : "ChangedBaseDomain","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]],[["IsMatrixObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 73,"comment" : "ChangedBaseDomain: for an 8bit matrix and a finite field","location" : {"line" : 1240,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 73,"comment" : "ChangedBaseDomain: for a gf2 matrix and a finite field","location" : {"line" : 2399,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 69,"comment" : "ChangedBaseDomain: for an 8bit vector and a finite field","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 69,"comment" : "ChangedBaseDomain: for a gf2 vector and a finite field","location" : {"line" : 2387,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 42,"comment" : "ChangedBaseDomain: for a checking plist matrix, and a domain","location" : {"line" : 1845,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 41,"comment" : "ChangedBaseDomain: for a plist matrix, and a domain","location" : {"line" : 1838,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 38,"comment" : "ChangedBaseDomain: for a checking plist vector, and a domain","location" : {"line" : 1831,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep","IsCheckingVector"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 37,"comment" : "ChangedBaseDomain: for a plist vector, and a domain","location" : {"line" : 1825,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ChangedBaseDomain"]},{"name" : "Randomize","type" : "GAP_Operation","filters" : [[["IsMutable","IsRowVectorObj"]],[["IsMutable","IsRowVectorObj"],["IsRandomSource"]],[["IsMutable","IsMatrixObj"]],[["IsMutable","IsMatrixObj"],["IsRandomSource"]]],"locations" : [{"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 16,"comment" : "Randomize: for a mutable plist matrix","location" : {"line" : 1645,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"]]},{"rank" : 16,"comment" : "Randomize: for a mutable 8bit matrix","location" : {"line" : 1076,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","Is8BitMatrixRep"]]},{"rank" : 16,"comment" : "Randomize: for a mutable gf2 matrix","location" : {"line" : 2258,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsGF2MatrixRep"]]},{"rank" : 12,"comment" : "Randomize: for a mutable plist vector","location" : {"line" : 711,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistVectorRep"]]},{"rank" : 12,"comment" : "Randomize: for a mutable 8bit vector","location" : {"line" : 1007,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","Is8BitVectorRep"]]},{"rank" : 12,"comment" : "Randomize: for a mutable gf2 vector","location" : {"line" : 2132,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsGF2VectorRep"]]}],"2args" : [{"rank" : 18,"comment" : "Randomize: for a mutable 8bit matrix, and a random source","location" : {"line" : 1084,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","Is8BitMatrixRep"],["IsRandomSource"]]},{"rank" : 18,"comment" : "Randomize: for a mutable gf2 matrix, and a random source","location" : {"line" : 2266,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsGF2MatrixRep"],["IsRandomSource"]]},{"rank" : 14,"comment" : "Randomize: for a mutable 8bit vector and a random source","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsMutable","Is8BitVectorRep"],["IsRandomSource"]]},{"rank" : 14,"comment" : "Randomize: for a mutable gf2 vector and a random source","location" : {"line" : 2142,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsMutable","IsGF2VectorRep"],["IsRandomSource"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Randomize"]},{"name" : "CopySubVector","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsMutable","IsRowVectorObj"],["IsList"],["IsList"]]],"locations" : [{"line" : 343,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 83,"comment" : "CopySubVector: for two gf2 vectors, and two ranges","location" : {"line" : 2218,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsMutable","IsGF2VectorRep"],["IsRange"],["IsRange"]]},{"rank" : 28,"comment" : "CopySubVector: for two plist vectors and two lists","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsMutable","IsPlistVectorRep","IsCheckingVector"],["IsList"],["IsList"]]},{"rank" : 27,"comment" : "CopySubVector: for two plist vectors and two lists","location" : {"line" : 718,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsMutable","IsPlistVectorRep"],["IsList"],["IsList"]]},{"rank" : 27,"comment" : "CopySubVector: for two 8bit vectors, and two lists","location" : {"line" : 1062,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"],["IsMutable","Is8BitVectorRep"],["IsList"],["IsList"]]},{"rank" : 27,"comment" : "CopySubVector: for two gf2 vectors, and two lists","location" : {"line" : 2224,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsMutable","IsGF2VectorRep"],["IsList"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["CopySubVector"]},{"name" : "WeightOfVector","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"]]],"locations" : [{"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 11,"comment" : "WeightOfVector: for an 8bit vector","location" : {"line" : 1262,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"]]},{"rank" : 11,"comment" : "WeightOfVector: for a gf2 vector","location" : {"line" : 2421,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"]]},{"rank" : 9,"comment" : "WeightOfVector: generic method","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsRowVectorObj"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WeightOfVector"]},{"name" : "DistanceOfVectors","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsRowVectorObj"]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "DistanceOfVectors: for two 8bit vectors","location" : {"line" : 1268,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitVectorRep"],["Is8BitVectorRep"]]},{"rank" : 22,"comment" : "DistanceOfVectors: for two gf2 vectors","location" : {"line" : 2427,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2VectorRep"],["IsGF2VectorRep"]]},{"rank" : 18,"comment" : "DistanceOfVectors: generic method","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsRowVectorObj"],["IsRowVectorObj"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DistanceOfVectors"]},{"name" : "RowLength","type" : "GAP_Operation","filters" : [[["IsMatrixObj"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20015,"comment" : "RowLength: system getter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [["IsAttributeStoringRep","Tester(RowLength)"]]},{"rank" : 15,"comment" : "RowLength: for a plist matrix","location" : {"line" : 765,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "RowLength: for an 8bit matrix","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "RowLength: for a gf2 matrix","location" : {"line" : 2116,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RowLength)","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],[]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RowLength): system setter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RowLength): default method, does nothing","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRowLength"]},{"name" : "Tester(RowLength)","type" : "GAP_Operation","filters" : [[["IsMatrixObj"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRowLength"]},{"name" : "ExtractSubMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsList"],["IsList"]]],"locations" : [{"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 19,"comment" : "ExtractSubMatrix: for a plist matrix, and two lists","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsList"],["IsList"]]},{"rank" : 19,"comment" : "ExtractSubMatrix: for an 8bit matrix, and two lists","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsList"],["IsList"]]},{"rank" : 19,"comment" : "ExtractSubMatrix: for a gf2 matrix, and two lists","location" : {"line" : 2205,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtractSubMatrix"]},{"name" : "CopySubMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsMatrixObj"],["IsList"],["IsList"],["IsList"],["IsList"]]],"locations" : [{"line" : 469,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : [{"rank" : 94,"comment" : "CopySubMatrix: for two gf2 matrices, two lists and two ranges","location" : {"line" : 2248,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsGF2MatrixRep"],["IsList"],["IsList"],["IsRange"],["IsRange"]]},{"rank" : 52,"comment" : "CopySubMatrix: for two plists -- fallback in case of bad rep.","location" : {"line" : 1187,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistRep"],["IsMutable","IsPlistRep"],["IsList"],["IsList"],["IsList"],["IsList"]]},{"rank" : 40,"comment" : "CopySubMatrix: for a plist matrix and a checking plist matrix and four lists","location" : {"line" : 1208,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsList"],["IsList"],["IsList"],["IsList"]]},{"rank" : 39,"comment" : "CopySubMatrix: for two plist matrices and four lists","location" : {"line" : 1173,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsMutable","IsPlistMatrixRep"],["IsList"],["IsList"],["IsList"],["IsList"]]},{"rank" : 38,"comment" : "CopySubMatrix: for two 8bit matrices, and four lists","location" : {"line" : 1068,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["Is8BitMatrixRep"],["IsList"],["IsList"],["IsList"],["IsList"]]},{"rank" : 38,"comment" : "CopySubMatrix: for two gf2 matrices, and four lists","location" : {"line" : 2233,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsGF2MatrixRep"],["IsList"],["IsList"],["IsList"],["IsList"]]}]},"aka" : ["CopySubMatrix"]},{"name" : "MatElm","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 53,"comment" : "MatElm: for a plist matrix and two positions","location" : {"line" : 1214,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 53,"comment" : "MatElm: for an 8bit matrix and two integers","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 53,"comment" : "MatElm: for a gf2 matrix and two integers","location" : {"line" : 2153,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MatElm"]},{"name" : "SetMatElm","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 68,"comment" : "SetMatElm: for an 8bit matrix, two integers, and a ffe","location" : {"line" : 1029,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsFFE"]]},{"rank" : 68,"comment" : "SetMatElm: for a gf2 matrix, two integers, and a ffe","location" : {"line" : 2156,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsFFE"]]},{"rank" : 55,"comment" : "SetMatElm: for a checking plist matrix, two positions, and an object","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep","IsCheckingMatrix"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],[]]},{"rank" : 54,"comment" : "SetMatElm: for a plist matrix, two positions, and an object","location" : {"line" : 1220,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsMutable","IsPlistMatrixRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],[]]}],"5args" : [],"6args" : []},"aka" : ["SetMatElm"]},{"name" : "AddMatrix","type" : "GAP_Operation","filters" : [[["IsMutable","IsMatrixObj"],["IsMatrixObj"]],[["IsMutable","IsMatrixObj"],["IsMatrixObj"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 540,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 27,"comment" : "AddMatrix: for two row list matrices","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMutable","IsRowListMatrix"],["IsRowListMatrix"]]}],"3args" : [{"rank" : 30,"comment" : "AddMatrix: for two row list matrices and a scalar","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMutable","IsRowListMatrix"],["IsRowListMatrix"],["IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddMatrix"]},{"name" : "MultMatrix","type" : "GAP_Operation","filters" : [[["IsMutable","IsMatrixObj"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 542,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "MultMatrix: for a row list matrix","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMutable","IsRowListMatrix"],["IsMultiplicativeElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MultMatrix"]},{"name" : "ProductTransposedMatMat","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsMatrixObj"]]],"locations" : [{"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "ProductTransposedMatMat: generic method","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMatrixObj"],["IsMatrixObj"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProductTransposedMatMat"]},{"name" : "ZeroMatrix","type" : "GAP_Operation","filters" : [[["IsInt"],["IsInt"],["IsMatrixObj"]]],"locations" : [{"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 51,"comment" : "ZeroMatrix: for two integers and a plist matrix","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsInt"],["IsInt"],["IsPlistMatrixRep"]]},{"rank" : 51,"comment" : "ZeroMatrix: for a compressed 8bit matrix","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsInt"],["IsInt"],["Is8BitMatrixRep"]]},{"rank" : 51,"comment" : "ZeroMatrix: for a compressed gf2 matrix","location" : {"line" : 2325,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt"],["IsInt"],["IsGF2MatrixRep"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ZeroMatrix"]},{"name" : "NewZeroMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : -15,"comment" : "NewZeroMatrix: for Is8BitMatrixRep, GF(q), and two ints","location" : {"line" : 1193,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"],["IsInt"]]},{"rank" : -15,"comment" : "NewZeroMatrix: for IsGF2MatrixRep, GF(2), and two ints","location" : {"line" : 2362,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"],["IsInt"]]},{"rank" : -16,"comment" : "NewZeroMatrix: for IsPlistMatrixRep, a ring, and two ints","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"],["IsInt"]]}],"5args" : [],"6args" : []},"aka" : ["NewZeroMatrix"]},{"name" : "IdentityMatrix","type" : "GAP_Operation","filters" : [[["IsInt"],["IsMatrixObj"]]],"locations" : [{"line" : 583,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 33,"comment" : "IdentityMatrix: for an integer and a plist matrix","location" : {"line" : 806,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsInt"],["IsPlistMatrixRep"]]},{"rank" : 33,"comment" : "IdentityMatrix: for a compressed 8bit matrix","location" : {"line" : 1203,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsInt"],["Is8BitMatrixRep"]]},{"rank" : 33,"comment" : "IdentityMatrix: for a compressed gf2 matrix","location" : {"line" : 2340,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsInt"],["IsGF2MatrixRep"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IdentityMatrix"]},{"name" : "NewIdentityMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]],"locations" : [{"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -15,"comment" : "NewIdentityMatrix: for Is8BitMatrixRep, GF(q), and an int","location" : {"line" : 1219,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]},{"rank" : -15,"comment" : "NewIdentityMatrix: for IsGF2MatrixRep, GF(2), and an int","location" : {"line" : 2378,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]},{"rank" : -16,"comment" : "NewIdentityMatrix: for IsPlistMatrixRep, a ring, and an int","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewIdentityMatrix"]},{"name" : "CompanionMatrix","type" : "GAP_Operation","filters" : [[["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMatrixObj"]]],"locations" : [{"line" : 591,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 31,"comment" : "CompanionMatrix: for a polynomial and a matrix","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMatrixObj"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CompanionMatrix"]},{"name" : "NewCompanionMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 597,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -15,"comment" : "NewCompanionMatrix: for IsPlistMatrixRep, a polynomial and a ring","location" : {"line" : 1873,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -15,"comment" : "NewCompanionMatrix: for Is8BitMatrixRep, a polynomial and a ring","location" : {"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -15,"comment" : "NewCompanionMatrix: for IsGF2MatrixRep, a polynomial and a ring","location" : {"line" : 2449,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : -16,"comment" : "NewCompanionMatrix: for IsPlistMatrixRep and IsCheckingMatrix, a polynomial and a ring","location" : {"line" : 1895,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewCompanionMatrix"]},{"name" : "Matrix","type" : "GAP_Operation","filters" : [[["IsList"],["IsInt"],["IsMatrixObj"]],[["IsList"],["IsMatrixObj"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]],"locations" : [{"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"},{"line" : 620,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "Matrix: system getter","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(Matrix)"]]},{"rank" : 18,"comment" : "Matrix: for a Rees 0-matrix semigroup with generators","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "Matrix: for a Rees matrix semigroup with generators","location" : {"line" : 572,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : -5,"comment" : "Matrix: default method requiring categories and checking properties","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [{"rank" : 14,"comment" : "Matrix: generic convenience method with 2 args","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsList"],["IsMatrixObj"]]}],"3args" : [{"rank" : 35,"comment" : "Matrix: for a list and a plist matrix","location" : {"line" : 839,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsList"],["IsInt"],["IsPlistMatrixRep"]]},{"rank" : 35,"comment" : "Matrix: for a list of vecs, an integer, and an 8bit mat","location" : {"line" : 1046,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsList"],["IsInt"],["Is8BitMatrixRep"]]},{"rank" : 35,"comment" : "Matrix: for a list of vecs, an integer, and a gf2 mat","location" : {"line" : 2172,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList"],["IsInt"],["IsGF2MatrixRep"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "NewMatrix","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"],["IsList"]]],"locations" : [{"line" : 625,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : -15,"comment" : "NewMatrix: for Is8BitMatrixRep, GF(q), an int, and a list","location" : {"line" : 1180,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"],["IsList"]]},{"rank" : -15,"comment" : "NewMatrix: for IsGF2MatrixRep, GF(2), an int, and a list","location" : {"line" : 2349,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"],["IsList"]]},{"rank" : -16,"comment" : "NewMatrix: for IsPlistMatrixRep, a ring, an int, and a list","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep","IsCheckingMatrix"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"],["IsInt"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["NewMatrix"]},{"name" : "CompatibleVector","type" : "GAP_Operation","filters" : [[["IsMatrixObj"]]],"locations" : [{"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "CompatibleVector: for a plist matrix","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"]]},{"rank" : 15,"comment" : "CompatibleVector: for an 8bit matrix","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["Is8BitMatrixRep"]]},{"rank" : 15,"comment" : "CompatibleVector: for a gf2 matrix","location" : {"line" : 2406,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsGF2MatrixRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CompatibleVector"]},{"name" : "Unfold","type" : "GAP_Operation","filters" : [[["IsMatrixObj"],["IsRowVectorObj"]]],"locations" : [{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "Unfold: for a plist matrix","location" : {"line" : 1764,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistMatrixRep"],["IsPlistVectorRep"]]},{"rank" : 21,"comment" : "Unfold: for a matrix object, and a vector object","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsMatrixObj"],["IsRowVectorObj"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Unfold"]},{"name" : "Fold","type" : "GAP_Operation","filters" : [[["IsRowVectorObj"],["IsInt","IsPosRat"],["IsMatrixObj"]]],"locations" : [{"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj2.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 45,"comment" : "Fold: for a plist vector, a positive int, and a plist matrix","location" : {"line" : 1776,"file" : "\/home\/makx\/ac\/gap\/lib\/matobjplist.gi"},"filters" : [["IsPlistVectorRep"],["IsInt","IsPosRat"],["IsPlistMatrixRep"]]},{"rank" : 45,"comment" : "Fold: for an 8bit vector, a positive int, and an 8bit matrix","location" : {"line" : 1131,"file" : "\/home\/makx\/ac\/gap\/lib\/vec8bit.gi"},"filters" : [["IsRowVectorObj","Is8BitVectorRep"],["IsInt","IsPosRat"],["Is8BitMatrixRep"]]},{"rank" : 45,"comment" : "Fold: for a gf2 vector, a positive int, and a gf2 matrix","location" : {"line" : 2293,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsRowVectorObj","IsGF2VectorRep"],["IsInt","IsPosRat"],["IsGF2MatrixRep"]]},{"rank" : 40,"comment" : "Fold: for a vector, a positive int, and a matrix","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/matobj.gi"},"filters" : [["IsRowVectorObj"],["IsInt","IsPosRat"],["IsMatrixObj"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Fold"]},{"name" : "IsBuiltFromAdditiveMagmaWithInverses","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromAdditiveMagmaWithInverses: system getter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromAdditiveMagmaWithInverses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromAdditiveMagmaWithInverses)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromAdditiveMagmaWithInverses): system setter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromAdditiveMagmaWithInverses): default method, does nothing","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromAdditiveMagmaWithInverses"]},{"name" : "Tester(IsBuiltFromAdditiveMagmaWithInverses)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromMagma","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromMagma: system getter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromMagma)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromMagma)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromMagma): system setter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromMagma): default method, does nothing","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromMagma"]},{"name" : "Tester(IsBuiltFromMagma)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromMagmaWithOne","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromMagmaWithOne: system getter","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromMagmaWithOne)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromMagmaWithOne)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromMagmaWithOne): system setter","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromMagmaWithOne): default method, does nothing","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromMagmaWithOne"]},{"name" : "Tester(IsBuiltFromMagmaWithOne)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromMagmaWithInverses","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromMagmaWithInverses: system getter","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromMagmaWithInverses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromMagmaWithInverses)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromMagmaWithInverses): system setter","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromMagmaWithInverses): default method, does nothing","location" : {"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromMagmaWithInverses"]},{"name" : "Tester(IsBuiltFromMagmaWithInverses)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromGroup","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromGroup: system getter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromGroup)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromGroup): system setter","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromGroup): default method, does nothing","location" : {"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromGroup"]},{"name" : "Tester(IsBuiltFromGroup)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromSemigroup","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromSemigroup: system getter","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromSemigroup)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromSemigroup): system setter","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromSemigroup): default method, does nothing","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromSemigroup"]},{"name" : "Tester(IsBuiltFromSemigroup)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsBuiltFromMonoid","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsBuiltFromMonoid: system getter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBuiltFromMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBuiltFromMonoid)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBuiltFromMonoid): system setter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBuiltFromMonoid): default method, does nothing","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBuiltFromMonoid"]},{"name" : "Tester(IsBuiltFromMonoid)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SemigroupOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "SemigroupOfRewritingSystem: system getter","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemigroupOfRewritingSystem)"]]},{"rank" : 4,"comment" : "SemigroupOfRewritingSystem: for a Knuth Bendix rewriting system","location" : {"line" : 685,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemigroupOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemigroupOfRewritingSystem): system setter","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemigroupOfRewritingSystem): default method, does nothing","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemigroupOfRewritingSystem"]},{"name" : "Tester(SemigroupOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemigroupOfRewritingSystem"]},{"name" : "MonoidOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "MonoidOfRewritingSystem: system getter","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(MonoidOfRewritingSystem)"]]},{"rank" : 4,"comment" : "MonoidOfRewritingSystem: for a Knuth Bendix rewriting system","location" : {"line" : 668,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MonoidOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MonoidOfRewritingSystem): system setter","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MonoidOfRewritingSystem): default method, does nothing","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMonoidOfRewritingSystem"]},{"name" : "Tester(MonoidOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMonoidOfRewritingSystem"]},{"name" : "FreeStructureOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 301,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FreeStructureOfRewritingSystem"]},{"name" : "ConfluentRws","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "ConfluentRws: system getter","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConfluentRws)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConfluentRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConfluentRws): system setter","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConfluentRws): default method, does nothing","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConfluentRws"]},{"name" : "Tester(ConfluentRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConfluentRws"]},{"name" : "GeneratorsOfRws","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "GeneratorsOfRws: system getter","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsOfRws)"]]},{"rank" : 18,"comment" : "GeneratorsOfRws","location" : {"line" : 1071,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 14,"comment" : "GeneratorsOfRws","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]},{"rank" : 4,"comment" : "GeneratorsOfRws: for a monoid rewriting system","location" : {"line" : 365,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)"]]},{"rank" : 4,"comment" : "GeneratorsOfRws: for a monoid rewriting system","location" : {"line" : 352,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsOfRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 16,"comment" : "Setter(GeneratorsOfRws)","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsList"]]},{"rank" : 2,"comment" : "Setter(GeneratorsOfRws): system setter","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsOfRws): default method, does nothing","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsOfRws"]},{"name" : "Tester(GeneratorsOfRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsOfRws"]},{"name" : "NumberGeneratorsOfRws","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "NumberGeneratorsOfRws: system getter","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(NumberGeneratorsOfRws)"]]},{"rank" : 18,"comment" : "NumberGeneratorsOfRws","location" : {"line" : 1057,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 14,"comment" : "NumberGeneratorsOfRws","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]},{"rank" : 2,"comment" : "NumberGeneratorsOfRws","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NumberGeneratorsOfRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 32,"comment" : "Setter(NumberGeneratorsOfRws)","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsInt"]]},{"rank" : 2,"comment" : "Setter(NumberGeneratorsOfRws): system setter","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NumberGeneratorsOfRws): default method, does nothing","location" : {"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNumberGeneratorsOfRws"]},{"name" : "Tester(NumberGeneratorsOfRws)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNumberGeneratorsOfRws"]},{"name" : "Rules","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "Rules: system getter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(Rules)"]]},{"rank" : 18,"comment" : "Rules","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 14,"comment" : "Rules: Deep Thought","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]},{"rank" : 5,"comment" : "Rules: for a Knuth Bendix rewriting system","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Rules)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Rules): system setter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Rules): default method, does nothing","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRules"]},{"name" : "Tester(Rules)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRules"]},{"name" : "OrderingOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "OrderingOfRewritingSystem: system getter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrderingOfRewritingSystem)"]]},{"rank" : 5,"comment" : "OrderingOfRewritingSystem: for a Knuth Bendix rewriting system","location" : {"line" : 732,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrderingOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrderingOfRewritingSystem): system setter","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrderingOfRewritingSystem): default method, does nothing","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrderingOfRewritingSystem"]},{"name" : "Tester(OrderingOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrderingOfRewritingSystem"]},{"name" : "IsConfluent","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "IsConfluent: system getter","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsConfluent)"]]},{"rank" : 43,"comment" : "IsConfluent: for pc group","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 15,"comment" : "IsConfluent: method for finite polycylic rewriting systems","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPolycyclicCollector"]]},{"rank" : 11,"comment" : "IsConfluent: generic method for polycyclic rewriting systems","location" : {"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"]]},{"rank" : 2,"comment" : "IsConfluent: for a monoid or a semigroup rewriting system","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem"]]}],"2args" : [{"rank" : 17,"comment" : "IsConfluent","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPolycyclicCollector"],["IsList"]],"aka" : ["FinitePolycyclicCollector_IsConfluent"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsConfluent)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsBool"]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsConfluent): system setter","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsConfluent): default method, does nothing","location" : {"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsConfluent"]},{"name" : "Tester(IsConfluent)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 462,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsReduced","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"]]],"locations" : [{"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsReduced: system getter","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReduced)"]]},{"rank" : 6,"comment" : "IsReduced: for a Knuth Bendix rewriting system","location" : {"line" : 527,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsMutable","IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReduced)","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"],["IsBool"]]],"locations" : [{"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReduced): system setter","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReduced): default method, does nothing","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReduced"]},{"name" : "Tester(IsReduced)","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"]]],"locations" : [{"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AddRule","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"],["IsHomogeneousList"]]],"locations" : [{"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddRule"]},{"name" : "AddRuleReduced","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"],["IsHomogeneousList"]]],"locations" : [{"line" : 523,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "AddRuleReduced: for a Knuth Bendix rewriting system and a rule","location" : {"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsMutable","IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddRuleReduced"]},{"name" : "AddGenerators","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"],["IsHomogeneousList"]]],"locations" : [{"line" : 540,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "AddGenerators","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsMutable","IsRewritingSystem"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AddGenerators"]},{"name" : "MakeConfluent","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "MakeConfluent: for Knuth Bendix Rewriting System","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsMutable","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)","IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]},{"rank" : 8,"comment" : "MakeConfluent: for Knuth Bendix Rewriting System","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsMutable","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)","IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MakeConfluent"]},{"name" : "ReduceRules","type" : "GAP_Operation","filters" : [[["IsMutable","IsRewritingSystem"]]],"locations" : [{"line" : 578,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "ReduceRules","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 6,"comment" : "ReduceRules: for a Knuth Bendix rewriting system","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsMutable","IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]},{"rank" : 3,"comment" : "ReduceRules","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsMutable","IsRewritingSystem"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReduceRules"]},{"name" : "ReducedAdditiveInverse","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsAdditiveElement"]]],"locations" : [{"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "ReducedAdditiveInverse: ReducedForm","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromAdditiveMagmaWithInverses","Tester(IsBuiltFromAdditiveMagmaWithInverses)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedAdditiveInverse"]},{"name" : "ReducedComm","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 37,"comment" : "ReducedComm","location" : {"line" : 1479,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_ReducedComm"]},{"rank" : 37,"comment" : "ReducedComm","location" : {"line" : 1479,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 37,"comment" : "ReducedComm","location" : {"line" : 1479,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 25,"comment" : "ReducedComm: DeepThoughtReducedComm","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 20,"comment" : "ReducedComm: ReducedLeftQuotient\/ReducedProduct","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedComm"]},{"name" : "ReducedConjugate","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 25,"comment" : "ReducedConjugate: DeepThoughtReducedConjugate","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 20,"comment" : "ReducedConjugate: ReducedLeftQuotient\/ReducedProduct","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedConjugate"]},{"name" : "ReducedDifference","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsAdditiveElement"],["IsAdditiveElement"]]],"locations" : [{"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 14,"comment" : "ReducedDifference: ReducedSum\/ReducedAdditiveInverse","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromAdditiveMagmaWithInverses","Tester(IsBuiltFromAdditiveMagmaWithInverses)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement"],["IsNearAdditiveElementWithInverse","IsAdditiveElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedDifference"]},{"name" : "ReducedForm","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 673,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "ReducedForm","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_ReducedForm"]},{"rank" : 29,"comment" : "ReducedForm","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"]]},{"rank" : 29,"comment" : "ReducedForm","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"]]},{"rank" : 16,"comment" : "ReducedForm: CollectWordOrFail","location" : {"line" : 490,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 9,"comment" : "ReducedForm: for a monoid rewriting system and a word on the underlying free monoid","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)"],["IsAssociativeElement","IsWord"]]},{"rank" : 9,"comment" : "ReducedForm: for a semigroup rewriting system and a word on the underlying free semigroup","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"],["IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedForm"]},{"name" : "IsReducedForm","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "IsReducedForm: for a rewriting system and an object","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsReducedForm"]},{"name" : "ReducedInverse","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "ReducedInverse","location" : {"line" : 1519,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsAssociativeElement","IsWord"]]},{"rank" : 20,"comment" : "ReducedInverse: DeepThoughtReducedInverse","location" : {"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"]]},{"rank" : 13,"comment" : "ReducedInverse: ReducedForm","location" : {"line" : 246,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedInverse"]},{"name" : "ReducedLeftQuotient","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 37,"comment" : "ReducedLeftQuotient","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_ReducedLeftQuotient"]},{"rank" : 37,"comment" : "ReducedLeftQuotient","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 37,"comment" : "ReducedLeftQuotient","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 25,"comment" : "ReducedLeftQuotient: DeepThoughtReducedLeftQuotient","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 18,"comment" : "ReducedLeftQuotient: ReducedProduct\/ReducedInverse","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedLeftQuotient"]},{"name" : "ReducedOne","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 744,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "ReducedOne","location" : {"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 6,"comment" : "ReducedOne: ReducedForm","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)"]]},{"rank" : 4,"comment" : "ReducedOne: ReducedForm","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromAdditiveMagmaWithInverses","Tester(IsBuiltFromAdditiveMagmaWithInverses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedOne"]},{"name" : "ReducedPower","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsInt"]]],"locations" : [{"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 49,"comment" : "ReducedPower","location" : {"line" : 1674,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"],["IsInt","IsSmallIntRep"]],"aka" : ["FinPowConjCol_ReducedPowerSmallInt"]},{"rank" : 49,"comment" : "ReducedPower","location" : {"line" : 1674,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"],["IsInt","IsSmallIntRep"]]},{"rank" : 49,"comment" : "ReducedPower","location" : {"line" : 1674,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"],["IsInt","IsSmallIntRep"]]},{"rank" : 38,"comment" : "ReducedPower: DeepThoughtReducedPower","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsInt"]]},{"rank" : 34,"comment" : "ReducedPower: ReducedInverse\/CollectWordOrFail","location" : {"line" : 585,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsInt"]]},{"rank" : 31,"comment" : "ReducedPower: ReducedProduct\/ReducedInverse","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"],["IsMultiplicativeElement"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedPower"]},{"name" : "ReducedProduct","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 37,"comment" : "ReducedProduct","location" : {"line" : 1632,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_ReducedProduct"]},{"rank" : 37,"comment" : "ReducedProduct","location" : {"line" : 1632,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 37,"comment" : "ReducedProduct","location" : {"line" : 1632,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 25,"comment" : "ReducedProduct: DeepThoughtReducedProduct","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 10,"comment" : "ReducedProduct: ReducedForm","location" : {"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedProduct"]},{"name" : "ReducedQuotient","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsMultiplicativeElement"],["IsMultiplicativeElement"]]],"locations" : [{"line" : 803,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 37,"comment" : "ReducedQuotient","location" : {"line" : 1716,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is32BitsAssocWord"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_ReducedQuotient"]},{"rank" : 37,"comment" : "ReducedQuotient","location" : {"line" : 1716,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is16BitsAssocWord"],["Is16BitsAssocWord"]]},{"rank" : 37,"comment" : "ReducedQuotient","location" : {"line" : 1716,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["Is8BitsAssocWord"],["Is8BitsAssocWord"]]},{"rank" : 25,"comment" : "ReducedQuotient: DeepThoughtReducedQuotient","location" : {"line" : 699,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsDeepThoughtCollectorRep"],["IsAssociativeElement","IsWord"],["IsAssociativeElement","IsWord"]]},{"rank" : 18,"comment" : "ReducedQuotient: ReducedProduct\/ReducedInverse","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedQuotient"]},{"name" : "ReducedScalarProduct","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"],["IsAdditiveElement"]]],"locations" : [{"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedScalarProduct"]},{"name" : "ReducedSum","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],["IsAdditiveElement"],["IsAdditiveElement"]]],"locations" : [{"line" : 839,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 10,"comment" : "ReducedSum: ReducedForm","location" : {"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromAdditiveMagmaWithInverses","Tester(IsBuiltFromAdditiveMagmaWithInverses)"],["IsAdditiveElement"],["IsAdditiveElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedSum"]},{"name" : "ReducedZero","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 855,"file" : "\/home\/makx\/ac\/gap\/lib\/rws.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedZero"]},{"name" : "RelativeOrders","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]],[["IsGeneralPcgs"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "RelativeOrders: system getter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelativeOrders)"]]},{"rank" : 24,"comment" : "RelativeOrders: fp","location" : {"line" : 1169,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsModuloPcgsFpGroupRep"]]},{"rank" : 21,"comment" : "RelativeOrders: pc series","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsPcgs"]]},{"rank" : 18,"comment" : "RelativeOrders","location" : {"line" : 1099,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 14,"comment" : "RelativeOrders: Method for Deep Thought","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelativeOrders)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]],[["IsGeneralPcgs"],[]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "Setter(RelativeOrders): setting orders for prime orders pcgs","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsComponentObjectRep","IsAttributeStoringRep","IsPcgs","Tester(IsPrimeOrdersPcgs)","Tester(IsFiniteOrdersPcgs)"],["IsList"]],"aka" : ["SET_RELATIVE_ORDERS"]},{"rank" : 25,"comment" : "Setter(RelativeOrders): setting orders and checking for prime orders","location" : {"line" : 847,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsComponentObjectRep","IsAttributeStoringRep","IsPcgs"],["IsList"]]},{"rank" : 16,"comment" : "Setter(RelativeOrders)","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsList"]]},{"rank" : 2,"comment" : "Setter(RelativeOrders): system setter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelativeOrders): default method, does nothing","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelativeOrders"]},{"name" : "Tester(RelativeOrders)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelativeOrders"]},{"name" : "OutdatePolycyclicCollector","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 12,"comment" : "OutdatePolycyclicCollector","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OutdatePolycyclicCollector"]},{"name" : "UpdatePolycyclicCollector","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "UpdatePolycyclicCollector: combinatorial collector rep","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"]]},{"rank" : 18,"comment" : "UpdatePolycyclicCollector","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]},{"rank" : 14,"comment" : "UpdatePolycyclicCollector","location" : {"line" : 591,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UpdatePolycyclicCollector"]},{"name" : "CollectWord","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],[]]],"locations" : [{"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 18,"comment" : "CollectWord","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsList"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CollectWord"]},{"name" : "CollectWordOrFail","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],[]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 31,"comment" : "CollectWordOrFail","location" : {"line" : 1128,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["IsList"],["Is32BitsAssocWord"]],"aka" : ["FinPowConjCol_CollectWordOrFail"]},{"rank" : 31,"comment" : "CollectWordOrFail","location" : {"line" : 1128,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["IsList"],["Is16BitsAssocWord"]]},{"rank" : 31,"comment" : "CollectWordOrFail","location" : {"line" : 1128,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"],["IsList"],["Is8BitsAssocWord"]]},{"rank" : 26,"comment" : "CollectWordOrFail","location" : {"line" : 1117,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsUpToDatePolycyclicCollector","IsSingleCollectorRep"],["IsList"],["IsMultiplicativeElementWithInverse"]],"aka" : ["SingleCollector_CollectWord"]},{"rank" : 21,"comment" : "CollectWordOrFail: DeepThought","location" : {"line" : 811,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsList"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 19,"comment" : "CollectWordOrFail","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector","IsUpToDatePolycyclicCollector"],["IsList"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 18,"comment" : "CollectWordOrFail","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsList"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CollectWordOrFail"]},{"name" : "NonTrivialRightHandSides","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "NonTrivialRightHandSides","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NonTrivialRightHandSides"]},{"name" : "ObjByExponents","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],[]]],"locations" : [{"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "ObjByExponents","location" : {"line" : 1250,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsList"]]},{"rank" : 16,"comment" : "ObjByExponents: DeepThought","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ObjByExponents"]},{"name" : "SetCommutator","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 217,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 49,"comment" : "SetCommutator: integers","location" : {"line" : 651,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector"],["IsInt"],["IsInt"],[]]},{"rank" : 27,"comment" : "SetCommutator: elements","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"5args" : [],"6args" : []},"aka" : ["SetCommutator"]},{"name" : "SetCommutatorNC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 54,"comment" : "SetCommutatorNC: integers","location" : {"line" : 637,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 28,"comment" : "SetCommutatorNC: elements","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"5args" : [],"6args" : []},"aka" : ["SetCommutatorNC"]},{"name" : "SetCommutatorANC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCommutatorANC"]},{"name" : "SetConjugate","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 61,"comment" : "SetConjugate: combinatorial collector rep","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 60,"comment" : "SetConjugate","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 56,"comment" : "SetConjugate","location" : {"line" : 531,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 54,"comment" : "SetConjugate","location" : {"line" : 703,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPowerCommutatorCollector"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 27,"comment" : "SetConjugate","location" : {"line" : 673,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"5args" : [],"6args" : []},"aka" : ["SetConjugate"]},{"name" : "SetConjugateNC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 60,"comment" : "SetConjugateNC","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]],"aka" : ["SingleCollector_SetConjugateNC"]},{"rank" : 54,"comment" : "SetConjugateNC","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPowerCommutatorCollector"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 27,"comment" : "SetConjugateNC","location" : {"line" : 689,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"5args" : [],"6args" : []},"aka" : ["SetConjugateNC"]},{"name" : "SetConjugateANC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[],[]]],"locations" : [{"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 60,"comment" : "SetConjugateANC: pow conj single collector","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"],["IsMultiplicativeElementWithInverse"]]}],"5args" : [],"6args" : []},"aka" : ["SetConjugateANC"]},{"name" : "SetPower","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 43,"comment" : "SetPower: combinatorial collector rep","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsCombinatorialCollectorRep"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 42,"comment" : "SetPower","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 38,"comment" : "SetPower","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsInt"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 22,"comment" : "SetPower","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPower"]},{"name" : "SetPowerNC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 42,"comment" : "SetPowerNC","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsMultiplicativeElementWithInverse"]],"aka" : ["SingleCollector_SetPowerNC"]},{"rank" : 22,"comment" : "SetPowerNC","location" : {"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPowerNC"]},{"name" : "SetPowerANC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 42,"comment" : "SetPowerANC: pow conj single collector","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPowerANC"]},{"name" : "SetRelativeOrder","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 55,"comment" : "SetRelativeOrder","location" : {"line" : 709,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"]]},{"rank" : 35,"comment" : "SetRelativeOrder","location" : {"line" : 768,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsInt"]]},{"rank" : 33,"comment" : "SetRelativeOrder","location" : {"line" : 273,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsMutable","IsPowerConjugateCollector","IsDeepThoughtCollectorRep"],["IsInt"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelativeOrder"]},{"name" : "SetRelativeOrderNC","type" : "GAP_Operation","filters" : [[["IsMutable","IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 293,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 55,"comment" : "SetRelativeOrderNC","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMutable","IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"]],"aka" : ["SingleCollector_SetRelativeOrderNC"]},{"rank" : 35,"comment" : "SetRelativeOrderNC","location" : {"line" : 781,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsMutable","IsPolycyclicCollector"],["IsMultiplicativeElementWithInverse"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelativeOrderNC"]},{"name" : "GetCommutatorNC","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetCommutatorNC"]},{"name" : "GetConjugateNC","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],[],[]]],"locations" : [{"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 54,"comment" : "GetConjugateNC: finite pow-conj single collector","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetConjugateNC"]},{"name" : "GetPowerNC","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],[]]],"locations" : [{"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "GetPowerNC","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPowerConjugateCollector","IsSingleCollectorRep"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetPowerNC"]},{"name" : "SingleCollector","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "SingleCollector","location" : {"line" : 886,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsInt"]]},{"rank" : 47,"comment" : "SingleCollector","location" : {"line" : 862,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsList"]]},{"rank" : 20,"comment" : "SingleCollector","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsList"],["IsInt"]]},{"rank" : 4,"comment" : "SingleCollector","location" : {"line" : 910,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SingleCollector"]},{"name" : "SingleCollectorByGenerators","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 5,"comment" : "SingleCollectorByGenerators","location" : {"line" : 1043,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcsng.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SingleCollectorByGenerators"]},{"name" : "CombinatorialCollector","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 382,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "CombinatorialCollector","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsInt"]]},{"rank" : 47,"comment" : "CombinatorialCollector","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsList"]]},{"rank" : 20,"comment" : "CombinatorialCollector","location" : {"line" : 276,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsList"],["IsInt"]]},{"rank" : 4,"comment" : "CombinatorialCollector","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CombinatorialCollector"]},{"name" : "CombinatorialCollectorByGenerators","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 5,"comment" : "CombinatorialCollectorByGenerators","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspccoc.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CombinatorialCollectorByGenerators"]},{"name" : "DeepThoughtCollector","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 414,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 65,"comment" : "DeepThoughtCollector","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsInt"]]},{"rank" : 49,"comment" : "DeepThoughtCollector","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DeepThoughtCollector"]},{"name" : "DeepThoughtCollectorByGenerators","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 5,"comment" : "DeepThoughtCollectorByGenerators","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsdt.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DeepThoughtCollectorByGenerators"]},{"name" : "EvaluateOverlapCBA","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],["IsList"],["IsInt"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : [{"rank" : 76,"comment" : "EvaluateOverlapCBA: polyc. collector, 2 hom. lists, 3 pos. integers","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsHomogeneousList"],["IsHomogeneousList"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}]},"aka" : ["EvaluateOverlapCBA"]},{"name" : "EvaluateOverlapBNA","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],["IsList"],["IsInt"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : [{"rank" : 76,"comment" : "EvaluateOverlapBNA: polyc. collector, 2 hom. lists, 3 pos. integers","location" : {"line" : 856,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsHomogeneousList"],["IsHomogeneousList"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}]},"aka" : ["EvaluateOverlapBNA"]},{"name" : "EvaluateOverlapBAN","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],["IsList"],["IsInt"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : [{"rank" : 76,"comment" : "EvaluateOverlapBAN: polyc. collector, 2 hom. lists, 3 pos. integers","location" : {"line" : 889,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsHomogeneousList"],["IsHomogeneousList"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}]},"aka" : ["EvaluateOverlapBAN"]},{"name" : "EvaluateOverlapANA","type" : "GAP_Operation","filters" : [[["IsPolycyclicCollector"],["IsList"],["IsList"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 457,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 57,"comment" : "EvaluateOverlapANA: polyc. collector, 2 hom. lists, 3 pos. integers","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcclt.gi"},"filters" : [["IsPolycyclicCollector"],["IsHomogeneousList"],["IsHomogeneousList"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"6args" : []},"aka" : ["EvaluateOverlapANA"]},{"name" : "MultiplicativeElementsWithInversesFamilyByRws","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20,"comment" : "MultiplicativeElementsWithInversesFamilyByRws: 32 bits family","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPolycyclicCollector","IsUpToDatePolycyclicCollector","Is32BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"]]},{"rank" : 20,"comment" : "MultiplicativeElementsWithInversesFamilyByRws: 16 bits family","location" : {"line" : 601,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPolycyclicCollector","IsUpToDatePolycyclicCollector","Is16BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"]]},{"rank" : 20,"comment" : "MultiplicativeElementsWithInversesFamilyByRws: 8 bits family","location" : {"line" : 430,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsPolycyclicCollector","IsUpToDatePolycyclicCollector","Is8BitsSingleCollectorRep","IsDefaultRhsTypeSingleCollector"]]},{"rank" : 11,"comment" : "MultiplicativeElementsWithInversesFamilyByRws: generic method","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsPolycyclicCollector"]]},{"rank" : 10,"comment" : "MultiplicativeElementsWithInversesFamilyByRws","location" : {"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MultiplicativeElementsWithInversesFamilyByRws"]},{"name" : "ElementByRws","type" : "GAP_Operation","filters" : [[["IsElementsFamilyByRws"],[]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "ElementByRws: using 32Bits_AssocWord","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy32BitsSingleCollector"],["Is32BitsAssocWord"]]},{"rank" : 11,"comment" : "ElementByRws: using 16Bits_AssocWord","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy16BitsSingleCollector"],["Is16BitsAssocWord"]]},{"rank" : 11,"comment" : "ElementByRws: using 8Bits_AssocWord","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsElementsFamilyBy8BitsSingleCollector"],["Is8BitsAssocWord"]]},{"rank" : 4,"comment" : "ElementByRws","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsElementsFamilyByRws"],["IsList"]]},{"rank" : 2,"comment" : "ElementByRws","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsElementsFamilyByRws"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementByRws"]},{"name" : "GroupByRws","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 10,"comment" : "GroupByRws","location" : {"line" : 332,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupByRws"]},{"name" : "GroupByRwsNC","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 110,"comment" : "GroupByRwsNC: rewriting system","location" : {"line" : 418,"file" : "\/home\/makx\/ac\/gap\/lib\/rwsgrp.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupByRwsNC"]},{"name" : "DefiningPcgs","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "DefiningPcgs: system getter","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DefiningPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DefiningPcgs)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DefiningPcgs): system setter","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DefiningPcgs): default method, does nothing","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefiningPcgs"]},{"name" : "Tester(DefiningPcgs)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDefiningPcgs"]},{"name" : "PolycyclicFactorGroup","type" : "GAP_Operation","filters" : [[[],["IsList"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 61,"comment" : "PolycyclicFactorGroup: for free group, empty list using ' PolycyclicFactorGroupByRelators'","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 48,"comment" : "PolycyclicFactorGroup: for free group, list using ' PolycyclicFactorGroupByRelators'","location" : {"line" : 1202,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolycyclicFactorGroup"]},{"name" : "PolycyclicFactorGroupNC","type" : "GAP_Operation","filters" : [[[],["IsList"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 48,"comment" : "PolycyclicFactorGroupNC: for free group, list using ' PolycyclicFactorGroupByRelators'","location" : {"line" : 1216,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolycyclicFactorGroupNC"]},{"name" : "PolycyclicFactorGroupByRelatorsNC","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 5,"comment" : "PolycyclicFactorGroupByRelatorsNC: generic method for family, generators, relators","location" : {"line" : 1157,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolycyclicFactorGroupByRelatorsNC"]},{"name" : "PolycyclicFactorGroupByRelators","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 5,"comment" : "PolycyclicFactorGroupByRelators: generic method for family, generators, relators","location" : {"line" : 1180,"file" : "\/home\/makx\/ac\/gap\/lib\/rwspcgrp.gi"},"filters" : [["IsFamily"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PolycyclicFactorGroupByRelators"]},{"name" : "MonomialComparisonFunction","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MonomialComparisonFunction: system getter","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep","Tester(MonomialComparisonFunction)"]]},{"rank" : 5,"comment" : "MonomialComparisonFunction: default: use extrep","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsMonomialOrderingDefaultRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MonomialComparisonFunction)","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"],[]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MonomialComparisonFunction): system setter","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MonomialComparisonFunction): default method, does nothing","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMonomialComparisonFunction"]},{"name" : "Tester(MonomialComparisonFunction)","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMonomialComparisonFunction"]},{"name" : "MonomialExtrepComparisonFun","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "MonomialExtrepComparisonFun: system getter","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep","Tester(MonomialExtrepComparisonFun)"]]},{"rank" : 1,"comment" : "MonomialExtrepComparisonFun: functions are themselves -- for compatibility","location" : {"line" : 510,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MonomialExtrepComparisonFun)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MonomialExtrepComparisonFun): system setter","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MonomialExtrepComparisonFun): default method, does nothing","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMonomialExtrepComparisonFun"]},{"name" : "Tester(MonomialExtrepComparisonFun)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMonomialExtrepComparisonFun"]},{"name" : "OccuringVariableIndices","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "OccuringVariableIndices: system getter","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep","Tester(OccuringVariableIndices)"]]},{"rank" : 14,"comment" : "OccuringVariableIndices: polynomial","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OccuringVariableIndices)","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"],[]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OccuringVariableIndices): system setter","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OccuringVariableIndices): default method, does nothing","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOccuringVariableIndices"]},{"name" : "Tester(OccuringVariableIndices)","type" : "GAP_Operation","filters" : [[["IsMonomialOrdering"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOccuringVariableIndices"]},{"name" : "LeadingMonomialOfPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsMonomialOrdering"]]],"locations" : [{"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "LeadingMonomialOfPolynomial: with ordering","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialFunction"],["IsMonomialOrdering"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingMonomialOfPolynomial"]},{"name" : "LeadingCoefficientOfPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsMonomialOrdering"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "LeadingCoefficientOfPolynomial: with ordering","location" : {"line" : 564,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialFunction"],["IsMonomialOrdering"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingCoefficientOfPolynomial"]},{"name" : "LeadingTermOfPolynomial","type" : "GAP_Operation","filters" : [[["IsPolynomialFunction"],["IsMonomialOrdering"]]],"locations" : [{"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 13,"comment" : "LeadingTermOfPolynomial: with ordering","location" : {"line" : 536,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsPolynomialFunction"],["IsMonomialOrdering"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingTermOfPolynomial"]},{"name" : "GroebnerBasis","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]],[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]],"locations" : [{"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},{"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 35,"comment" : "GroebnerBasis: ideal with stored GB","location" : {"line" : 1099,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)","Tester(StoredGroebnerBasis)"],["IsMonomialOrdering"]]},{"rank" : 34,"comment" : "GroebnerBasis: ideal","location" : {"line" : 1089,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]},{"rank" : 26,"comment" : "GroebnerBasis: polynomials","location" : {"line" : 1056,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsHomogeneousList","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]},{"rank" : 1,"comment" : "GroebnerBasis: fix function","location" : {"line" : 1066,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [[],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GrobnerBasis","GroebnerBasis"]},{"name" : "ReducedGroebnerBasis","type" : "GAP_Operation","filters" : [[["IsHomogeneousList","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]],[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]],"locations" : [{"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},{"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 34,"comment" : "ReducedGroebnerBasis: ideal","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]},{"rank" : 26,"comment" : "ReducedGroebnerBasis: polynomials","location" : {"line" : 1131,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsHomogeneousList","CategoryCollections(IsRationalFunction)"],["IsMonomialOrdering"]]},{"rank" : 1,"comment" : "ReducedGroebnerBasis: fix function","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [[],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedGrobnerBasis","ReducedGroebnerBasis"]},{"name" : "StoredGroebnerBasis","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20036,"comment" : "StoredGroebnerBasis: system getter","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep","Tester(StoredGroebnerBasis)"]]},{"rank" : 33,"comment" : "StoredGroebnerBasis: ideal","location" : {"line" : 1073,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gi"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]]},{"rank" : -26,"comment" : "StoredGroebnerBasis: default method requiring categories and checking properties","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","CategoryCollections(IsRationalFunction)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StoredGroebnerBasis)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"],[]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StoredGroebnerBasis): system setter","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StoredGroebnerBasis): default method, does nothing","location" : {"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStoredGroebnerBasis"]},{"name" : "Tester(StoredGroebnerBasis)","type" : "GAP_Operation","filters" : [[["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]]],"locations" : [{"line" : 557,"file" : "\/home\/makx\/ac\/gap\/lib\/groebner.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStoredGroebnerBasis"]},{"name" : "PcgsByPcSequence","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "PcgsByPcSequence","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsElementsFamilyByRws"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 18,"comment" : "PcgsByPcSequence","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsFamily"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 6,"comment" : "PcgsByPcSequence","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsElementsFamilyByRws"],["IsHomogeneousList"]]},{"rank" : 5,"comment" : "PcgsByPcSequence","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsFamily"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PcgsByPcSequence"]},{"name" : "PcgsByPcSequenceNC","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"]]],"locations" : [{"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 19,"comment" : "PcgsByPcSequenceNC: elements family by rws, empty sequence","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsElementsFamilyByRws"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 18,"comment" : "PcgsByPcSequenceNC: pc series, empty sequence","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsFamily"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 7,"comment" : "PcgsByPcSequenceNC: elements family by rws with defining pcgs","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsElementsFamilyByRws","Tester(DefiningPcgs)"],["IsHomogeneousList"]]},{"rank" : 6,"comment" : "PcgsByPcSequenceNC: elements family by rws","location" : {"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsElementsFamilyByRws"],["IsHomogeneousList"]]},{"rank" : 5,"comment" : "PcgsByPcSequenceNC: pc series","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsFamily"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PcgsByPcSequenceNC"]},{"name" : "PcgsByPcSequenceCons","type" : "GAP_Operation","filters" : [[[],[],["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : -3,"comment" : "PcgsByPcSequenceCons: generic constructor","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgsDefaultRep"],[],["IsFamily"],["IsList"],["IsList"]]}],"6args" : []},"aka" : ["PcgsByPcSequenceCons"]},{"name" : "PcGroupWithPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "PcGroupWithPcgs: system getter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcGroupWithPcgs)"]]},{"rank" : 21,"comment" : "PcGroupWithPcgs","location" : {"line" : 1224,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]},{"rank" : 20,"comment" : "PcGroupWithPcgs: pcgs modulo pcgs","location" : {"line" : 984,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcGroupWithPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcGroupWithPcgs): system setter","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcGroupWithPcgs): default method, does nothing","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGroupByPcgs","SetPcGroupWithPcgs"]},{"name" : "Tester(PcGroupWithPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGroupByPcgs","HasPcGroupWithPcgs"]},{"name" : "GroupOfPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "GroupOfPcgs: system getter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(GroupOfPcgs)"]]},{"rank" : 27,"comment" : "GroupOfPcgs","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPcgsPermGroupRep"]]},{"rank" : 21,"comment" : "GroupOfPcgs","location" : {"line" : 1245,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]},{"rank" : 20,"comment" : "GroupOfPcgs","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GroupOfPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GroupOfPcgs): system setter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GroupOfPcgs): default method, does nothing","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGroupOfPcgs"]},{"name" : "Tester(GroupOfPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGroupOfPcgs"]},{"name" : "OneOfPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "OneOfPcgs: system getter","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(OneOfPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OneOfPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OneOfPcgs): system setter","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OneOfPcgs): default method, does nothing","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOneOfPcgs"]},{"name" : "Tester(OneOfPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOneOfPcgs"]},{"name" : "PcSeries","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "PcSeries: system getter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcSeries)"]]},{"rank" : 27,"comment" : "PcSeries","location" : {"line" : 832,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPcgsPermGroupRep"]]},{"rank" : 21,"comment" : "PcSeries: construct subgroups","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcSeries): system setter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcSeries): default method, does nothing","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcSeries"]},{"name" : "Tester(PcSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcSeries"]},{"name" : "IsPcgsElementaryAbelianSeries","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsPcgsElementaryAbelianSeries: system getter","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPcgsElementaryAbelianSeries)"]]},{"rank" : 21,"comment" : "IsPcgsElementaryAbelianSeries: test if elm. abelian","location" : {"line" : 1569,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPcgsElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPcgsElementaryAbelianSeries): system setter","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPcgsElementaryAbelianSeries): default method, does nothing","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPcgsElementaryAbelianSeries"]},{"name" : "Tester(IsPcgsElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PcgsElementaryAbelianSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PcgsElementaryAbelianSeries: system getter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcgsElementaryAbelianSeries)"]]},{"rank" : 95,"comment" : "PcgsElementaryAbelianSeries: for direct products","location" : {"line" : 401,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 55,"comment" : "PcgsElementaryAbelianSeries: perm group","location" : {"line" : 1180,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "PcgsElementaryAbelianSeries: for PCgroups via SpecialPcgs","location" : {"line" : 996,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]],"aka" : ["PcgsElAbSerFromSpecPcgs"]},{"rank" : 36,"comment" : "PcgsElementaryAbelianSeries: generic group","location" : {"line" : 1650,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["DoPcgsElementaryAbelianSeries"]},{"rank" : 22,"comment" : "PcgsElementaryAbelianSeries: if special pcgs is known","location" : {"line" : 996,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["Tester(SpecialPcgs)"]]},{"rank" : 2,"comment" : "PcgsElementaryAbelianSeries: group list","location" : {"line" : 1650,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList"]]},{"rank" : 0,"comment" : "PcgsElementaryAbelianSeries: default method requiring categories and checking properties","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcgsElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcgsElementaryAbelianSeries): system setter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcgsElementaryAbelianSeries): default method, does nothing","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcgsElementaryAbelianSeries"]},{"name" : "Tester(PcgsElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcgsElementaryAbelianSeries"]},{"name" : "IndicesEANormalSteps","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IndicesEANormalSteps: system getter","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesEANormalSteps)"]]},{"rank" : 25,"comment" : "IndicesEANormalSteps: special pcgs: LGFirst","location" : {"line" : 956,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsSpecialPcgs","Tester(IsSpecialPcgs)"]]},{"rank" : 23,"comment" : "IndicesEANormalSteps: inherit from parent","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsInducedPcgs","Tester(ParentPcgs)"]]},{"rank" : 0,"comment" : "IndicesEANormalSteps: compatibility only","location" : {"line" : 1486,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesEANormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesEANormalSteps): system setter","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesEANormalSteps): default method, does nothing","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesEANormalSteps"]},{"name" : "Tester(IndicesEANormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesEANormalSteps"]},{"name" : "EANormalSeriesByPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "EANormalSeriesByPcgs: system getter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(EANormalSeriesByPcgs)"]]},{"rank" : 30,"comment" : "EANormalSeriesByPcgs: perm group modulo rep","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgsElementaryAbelianSeries","Tester(IsPcgsElementaryAbelianSeries)","IsModuloPcgsPermGroupRep"]],"aka" : ["NorSerPermPcgs"]},{"rank" : 29,"comment" : "EANormalSeriesByPcgs: perm group rep","location" : {"line" : 503,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPcgsElementaryAbelianSeries","Tester(IsPcgsElementaryAbelianSeries)","IsPcgsPermGroupRep"]]},{"rank" : 28,"comment" : "EANormalSeriesByPcgs: from indices","location" : {"line" : 1486,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesEANormalSteps)","IsPcgsPermGroupRep"]]},{"rank" : 23,"comment" : "EANormalSeriesByPcgs: from PcSeries","location" : {"line" : 1486,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(PcSeries)","Tester(IndicesEANormalSteps)"]]},{"rank" : 22,"comment" : "EANormalSeriesByPcgs: from indices","location" : {"line" : 1486,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesEANormalSteps)"]]},{"rank" : 0,"comment" : "EANormalSeriesByPcgs: compatibility only","location" : {"line" : 1486,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EANormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EANormalSeriesByPcgs): system setter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EANormalSeriesByPcgs): default method, does nothing","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEANormalSeriesByPcgs"]},{"name" : "Tester(EANormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEANormalSeriesByPcgs"]},{"name" : "IsPcgsCentralSeries","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsPcgsCentralSeries: system getter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPcgsCentralSeries)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPcgsCentralSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPcgsCentralSeries): system setter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPcgsCentralSeries): default method, does nothing","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPcgsCentralSeries"]},{"name" : "Tester(IsPcgsCentralSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PcgsCentralSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PcgsCentralSeries: system getter","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcgsCentralSeries)"]]},{"rank" : 95,"comment" : "PcgsCentralSeries: for direct products","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 58,"comment" : "PcgsCentralSeries: for permgrp","location" : {"line" : 1279,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "PcgsCentralSeries: for pc groups use SpecialPcgs","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]],"aka" : ["DoCentralSeriesPcgsIfNilpot"]},{"rank" : 36,"comment" : "PcgsCentralSeries: for pcgs computable use SpecialPcgs","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["CanEasilyComputePcgs"]]},{"rank" : 22,"comment" : "PcgsCentralSeries: if special pcgs is known","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["Tester(SpecialPcgs)"]]},{"rank" : 0,"comment" : "PcgsCentralSeries: default method requiring categories and checking properties","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcgsCentralSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcgsCentralSeries): system setter","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcgsCentralSeries): default method, does nothing","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcgsCentralSeries"]},{"name" : "Tester(PcgsCentralSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcgsCentralSeries"]},{"name" : "IndicesCentralNormalSteps","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IndicesCentralNormalSteps: system getter","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesCentralNormalSteps)"]]},{"rank" : 0,"comment" : "IndicesCentralNormalSteps: compatibility only","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesCentralNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesCentralNormalSteps): system setter","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesCentralNormalSteps): default method, does nothing","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesCentralNormalSteps"]},{"name" : "Tester(IndicesCentralNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesCentralNormalSteps"]},{"name" : "CentralNormalSeriesByPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "CentralNormalSeriesByPcgs: system getter","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentralNormalSeriesByPcgs)"]]},{"rank" : 28,"comment" : "CentralNormalSeriesByPcgs: from indices","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesCentralNormalSteps)","IsPcgsPermGroupRep"]]},{"rank" : 23,"comment" : "CentralNormalSeriesByPcgs: from PcSeries","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(PcSeries)","Tester(IndicesCentralNormalSteps)"]]},{"rank" : 22,"comment" : "CentralNormalSeriesByPcgs: from indices","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesCentralNormalSteps)"]]},{"rank" : 0,"comment" : "CentralNormalSeriesByPcgs: compatibility only","location" : {"line" : 1489,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentralNormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentralNormalSeriesByPcgs): system setter","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentralNormalSeriesByPcgs): default method, does nothing","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentralNormalSeriesByPcgs"]},{"name" : "Tester(CentralNormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentralNormalSeriesByPcgs"]},{"name" : "IsPcgsPCentralSeriesPGroup","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsPcgsPCentralSeriesPGroup: system getter","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPcgsPCentralSeriesPGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPcgsPCentralSeriesPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPcgsPCentralSeriesPGroup): system setter","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPcgsPCentralSeriesPGroup): default method, does nothing","location" : {"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPcgsPCentralSeriesPGroup"]},{"name" : "Tester(IsPcgsPCentralSeriesPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 483,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PcgsPCentralSeriesPGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PcgsPCentralSeriesPGroup: system getter","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcgsPCentralSeriesPGroup)"]]},{"rank" : 95,"comment" : "PcgsPCentralSeriesPGroup: for direct products","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 58,"comment" : "PcgsPCentralSeriesPGroup: for permgrp","location" : {"line" : 1297,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "PcgsPCentralSeriesPGroup: for pc groups use SpecialPcgs","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 36,"comment" : "PcgsPCentralSeriesPGroup: for pcgs computable use SpecialPcgs","location" : {"line" : 974,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["CanEasilyComputePcgs"]]},{"rank" : 0,"comment" : "PcgsPCentralSeriesPGroup: default method requiring categories and checking properties","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcgsPCentralSeriesPGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcgsPCentralSeriesPGroup): system setter","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcgsPCentralSeriesPGroup): default method, does nothing","location" : {"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcgsPCentralSeriesPGroup"]},{"name" : "Tester(PcgsPCentralSeriesPGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 502,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcgsPCentralSeriesPGroup"]},{"name" : "IndicesPCentralNormalStepsPGroup","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IndicesPCentralNormalStepsPGroup: system getter","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesPCentralNormalStepsPGroup)"]]},{"rank" : 0,"comment" : "IndicesPCentralNormalStepsPGroup: compatibility only","location" : {"line" : 1491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesPCentralNormalStepsPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesPCentralNormalStepsPGroup): system setter","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesPCentralNormalStepsPGroup): default method, does nothing","location" : {"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesPCentralNormalStepsPGroup"]},{"name" : "Tester(IndicesPCentralNormalStepsPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 539,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesPCentralNormalStepsPGroup"]},{"name" : "PCentralNormalSeriesByPcgsPGroup","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "PCentralNormalSeriesByPcgsPGroup: system getter","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PCentralNormalSeriesByPcgsPGroup)"]]},{"rank" : 28,"comment" : "PCentralNormalSeriesByPcgsPGroup: from indices","location" : {"line" : 1491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesPCentralNormalStepsPGroup)","IsPcgsPermGroupRep"]]},{"rank" : 23,"comment" : "PCentralNormalSeriesByPcgsPGroup: from PcSeries","location" : {"line" : 1491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(PcSeries)","Tester(IndicesPCentralNormalStepsPGroup)"]]},{"rank" : 22,"comment" : "PCentralNormalSeriesByPcgsPGroup: from indices","location" : {"line" : 1491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesPCentralNormalStepsPGroup)"]]},{"rank" : 0,"comment" : "PCentralNormalSeriesByPcgsPGroup: compatibility only","location" : {"line" : 1491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PCentralNormalSeriesByPcgsPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PCentralNormalSeriesByPcgsPGroup): system setter","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PCentralNormalSeriesByPcgsPGroup): default method, does nothing","location" : {"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPCentralNormalSeriesByPcgsPGroup"]},{"name" : "Tester(PCentralNormalSeriesByPcgsPGroup)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 559,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPCentralNormalSeriesByPcgsPGroup"]},{"name" : "IsPcgsChiefSeries","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsPcgsChiefSeries: system getter","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPcgsChiefSeries)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPcgsChiefSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPcgsChiefSeries): system setter","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPcgsChiefSeries): default method, does nothing","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPcgsChiefSeries"]},{"name" : "Tester(IsPcgsChiefSeries)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "PcgsChiefSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PcgsChiefSeries: system getter","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(PcgsChiefSeries)"]]},{"rank" : 95,"comment" : "PcgsChiefSeries: for direct products","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 35,"comment" : "PcgsChiefSeries: compute chief series and pcgs","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PcgsChiefSeries: default method requiring categories and checking properties","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PcgsChiefSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PcgsChiefSeries): system setter","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PcgsChiefSeries): default method, does nothing","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcgsChiefSeries"]},{"name" : "Tester(PcgsChiefSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcgsChiefSeries"]},{"name" : "IndicesChiefNormalSteps","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IndicesChiefNormalSteps: system getter","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesChiefNormalSteps)"]]},{"rank" : 0,"comment" : "IndicesChiefNormalSteps: compatibility only","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesChiefNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesChiefNormalSteps): system setter","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesChiefNormalSteps): default method, does nothing","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesChiefNormalSteps"]},{"name" : "Tester(IndicesChiefNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 631,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesChiefNormalSteps"]},{"name" : "ChiefNormalSeriesByPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "ChiefNormalSeriesByPcgs: system getter","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(ChiefNormalSeriesByPcgs)"]]},{"rank" : 28,"comment" : "ChiefNormalSeriesByPcgs: from indices","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesChiefNormalSteps)","IsPcgsPermGroupRep"]]},{"rank" : 23,"comment" : "ChiefNormalSeriesByPcgs: from PcSeries","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(PcSeries)","Tester(IndicesChiefNormalSteps)"]]},{"rank" : 22,"comment" : "ChiefNormalSeriesByPcgs: from indices","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesChiefNormalSteps)"]]},{"rank" : 0,"comment" : "ChiefNormalSeriesByPcgs: compatibility only","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","Tester(IndicesNormalSteps)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ChiefNormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ChiefNormalSeriesByPcgs): system setter","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ChiefNormalSeriesByPcgs): default method, does nothing","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetChiefNormalSeriesByPcgs"]},{"name" : "Tester(ChiefNormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasChiefNormalSeriesByPcgs"]},{"name" : "IndicesNormalSteps","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IndicesNormalSteps: system getter","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesNormalSteps)"]]},{"rank" : 21,"comment" : "IndicesNormalSteps: generic","location" : {"line" : 1390,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesNormalSteps): system setter","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesNormalSteps): default method, does nothing","location" : {"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesNormalSteps"]},{"name" : "Tester(IndicesNormalSteps)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 690,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesNormalSteps"]},{"name" : "NormalSeriesByPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "NormalSeriesByPcgs: system getter","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalSeriesByPcgs)"]]},{"rank" : 21,"comment" : "NormalSeriesByPcgs: generic","location" : {"line" : 1401,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalSeriesByPcgs): system setter","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalSeriesByPcgs): default method, does nothing","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalSeriesByPcgs"]},{"name" : "Tester(NormalSeriesByPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalSeriesByPcgs"]},{"name" : "IsPrimeOrdersPcgs","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "IsPrimeOrdersPcgs: system getter","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimeOrdersPcgs)"]]},{"rank" : 21,"comment" : "IsPrimeOrdersPcgs","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]},{"rank" : 20,"comment" : "IsPrimeOrdersPcgs","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPrimeOrdersPcgs)","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"],["IsBool"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimeOrdersPcgs): system setter","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimeOrdersPcgs): default method, does nothing","location" : {"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPrimeOrdersPcgs"]},{"name" : "Tester(IsPrimeOrdersPcgs)","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"]]],"locations" : [{"line" : 729,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFiniteOrdersPcgs","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"]]],"locations" : [{"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "IsFiniteOrdersPcgs: system getter","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFiniteOrdersPcgs)"]]},{"rank" : 21,"comment" : "IsFiniteOrdersPcgs","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]},{"rank" : 20,"comment" : "IsFiniteOrdersPcgs","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFiniteOrdersPcgs)","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"],["IsBool"]]],"locations" : [{"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFiniteOrdersPcgs): system setter","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFiniteOrdersPcgs): default method, does nothing","location" : {"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFiniteOrdersPcgs"]},{"name" : "Tester(IsFiniteOrdersPcgs)","type" : "GAP_Operation","filters" : [[["IsGeneralPcgs"]]],"locations" : [{"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RefinedPcGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]],"locations" : [{"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "RefinedPcGroup: system getter","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(RefinedPcGroup)"]]},{"rank" : 43,"comment" : "RefinedPcGroup: group with refined pcgs","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 7,"comment" : "RefinedPcGroup: default method requiring categories and checking properties","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RefinedPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]],"locations" : [{"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RefinedPcGroup): system setter","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RefinedPcGroup): default method, does nothing","location" : {"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRefinedPcGroup"]},{"name" : "Tester(RefinedPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]],"locations" : [{"line" : 762,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRefinedPcGroup"]},{"name" : "IsomorphismRefinedPcGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsomorphismRefinedPcGroup: system getter","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismRefinedPcGroup)"]]},{"rank" : 43,"comment" : "IsomorphismRefinedPcGroup: group with refined pcgs","location" : {"line" : 323,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 0,"comment" : "IsomorphismRefinedPcGroup: default method requiring categories and checking properties","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismRefinedPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismRefinedPcGroup): system setter","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismRefinedPcGroup): default method, does nothing","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismRefinedPcGroup"]},{"name" : "Tester(IsomorphismRefinedPcGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismRefinedPcGroup"]},{"name" : "DepthOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 360,"comment" : "DepthOfPcElement: handled by nice monomorphism: attribute CollElm","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 185,"comment" : "DepthOfPcElement: family pcgs (32 bits)","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"]],"aka" : ["32Bits_DepthOfPcElement"]},{"rank" : 185,"comment" : "DepthOfPcElement: family pcgs (16 bits)","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"]],"aka" : ["16Bits_DepthOfPcElement"]},{"rank" : 185,"comment" : "DepthOfPcElement: family pcgs (8 bits)","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"]],"aka" : ["8Bits_DepthOfPcElement"]},{"rank" : 82,"comment" : "DepthOfPcElement: family pcgs","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 40,"comment" : "DepthOfPcElement: for pcgs of direct product","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsPcgs","IsPcgsDirectProductRep"],["IsDirectProductElement"]]},{"rank" : 37,"comment" : "DepthOfPcElement: permpcgs","location" : {"line" : 976,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"]]},{"rank" : 27,"comment" : "DepthOfPcElement: pcgs by pcgs","location" : {"line" : 1698,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsByPcgsRep"],[]]},{"rank" : 26,"comment" : "DepthOfPcElement: sorted pcgs","location" : {"line" : 915,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],[]]},{"rank" : 26,"comment" : "DepthOfPcElement: induced pcgs","location" : {"line" : 1285,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsInducedPcgs","IsInducedPcgsRep"],[]]},{"rank" : 25,"comment" : "DepthOfPcElement: unsorted pcgs","location" : {"line" : 905,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsUnsortedPcgsRep"],[]]},{"rank" : 24,"comment" : "DepthOfPcElement: pcgs modulo pcgs","location" : {"line" : 737,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloPcgsRep"],[]]},{"rank" : 21,"comment" : "DepthOfPcElement: generic methods, ExponentsOfPcElement","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[]]}],"3args" : [{"rank" : 379,"comment" : "DepthOfPcElement","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]},{"rank" : 56,"comment" : "DepthOfPcElement: permpcgs,start","location" : {"line" : 990,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"],["IsInt","IsPosRat"]]},{"rank" : 39,"comment" : "DepthOfPcElement: pcgs modulo pcgs, ignoring <min>","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],["IsInt"]]},{"rank" : 38,"comment" : "DepthOfPcElement: pcgs modulo pcgs, ignoring <min>","location" : {"line" : 526,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DepthOfPcElement"]},{"name" : "DifferenceOfPcElement","type" : "GAP_Operation","filters" : [[["IsPcgs"],[],[]]],"locations" : [{"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 21,"comment" : "DifferenceOfPcElement: generic methods, PcElementByExponents\/ExponentsOfPcElement","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DifferenceOfPcElement"]},{"name" : "ExponentOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[],["IsInt","IsPosRat"]]],"locations" : [{"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 379,"comment" : "ExponentOfPcElement: via nicoemorphism","location" : {"line" : 99,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]},{"rank" : 204,"comment" : "ExponentOfPcElement: family pcgs (32bits)","location" : {"line" : 764,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"],["IsInt","IsPosRat"]],"aka" : ["32Bits_ExponentOfPcElement"]},{"rank" : 204,"comment" : "ExponentOfPcElement: family pcgs (16bits)","location" : {"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"],["IsInt","IsPosRat"]],"aka" : ["16Bits_ExponentOfPcElement"]},{"rank" : 204,"comment" : "ExponentOfPcElement: family pcgs (8bits)","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"],["IsInt","IsPosRat"]],"aka" : ["8Bits_ExponentOfPcElement"]},{"rank" : 56,"comment" : "ExponentOfPcElement","location" : {"line" : 1037,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"],["IsInt","IsPosRat"]]},{"rank" : 49,"comment" : "ExponentOfPcElement: induced pcgs","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"],[],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "ExponentOfPcElement: sorted pcgs","location" : {"line" : 1013,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],[],["IsInt","IsPosRat"]]},{"rank" : 44,"comment" : "ExponentOfPcElement: unsorted pcgs","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsUnsortedPcgsRep"],[],["IsInt","IsPosRat"]]},{"rank" : 44,"comment" : "ExponentOfPcElement: pcgs modulo tail-pcgs, ExponentsOfPcElement","location" : {"line" : 957,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep"],[],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "ExponentOfPcElement: generic method, ExponentsOfPcElement","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],["IsInt","IsPosRat"]]},{"rank" : 39,"comment" : "ExponentOfPcElement: pcgs modulo pcgs, ExponentsOfPcElement","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentOfPcElement"]},{"name" : "ExponentsOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 864,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 360,"comment" : "ExponentsOfPcElement: handled by nice monomorphism: attribute CollElm","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 179,"comment" : "ExponentsOfPcElement: family pcgs\/32 bit","location" : {"line" : 772,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is32BitsPcWordRep"]],"aka" : ["32Bits_ExponentsOfPcElement"]},{"rank" : 179,"comment" : "ExponentsOfPcElement: family pcgs\/16 bit","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is16BitsPcWordRep"]],"aka" : ["16Bits_ExponentsOfPcElement"]},{"rank" : 179,"comment" : "ExponentsOfPcElement: family pcgs\/8 bit","location" : {"line" : 541,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is8BitsPcWordRep"]],"aka" : ["8Bits_ExponentsOfPcElement"]},{"rank" : 82,"comment" : "ExponentsOfPcElement: family pcgs","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 40,"comment" : "ExponentsOfPcElement: for pcgs of direct product","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsPcgs","IsPcgsDirectProductRep"],["IsDirectProductElement"]]},{"rank" : 37,"comment" : "ExponentsOfPcElement: perm group","location" : {"line" : 1010,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"]]},{"rank" : 30,"comment" : "ExponentsOfPcElement: subset of induced pcgs","location" : {"line" : 1473,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsSubsetInducedPcgsRep"],[]]},{"rank" : 30,"comment" : "ExponentsOfPcElement: induced pcgs","location" : {"line" : 1366,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"],[]]},{"rank" : 29,"comment" : "ExponentsOfPcElement: fp","location" : {"line" : 1181,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsModuloPcgsFpGroupRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 27,"comment" : "ExponentsOfPcElement: pcgs by pcgs","location" : {"line" : 1688,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPcgsByPcgsRep"],[]]},{"rank" : 26,"comment" : "ExponentsOfPcElement: sorted pcgs","location" : {"line" : 1214,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],[]]},{"rank" : 26,"comment" : "ExponentsOfPcElement: subset induced pcgs modulo tail-pcgs","location" : {"line" : 1163,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep","IsNumeratorParentForExponentsRep"],[]]},{"rank" : 25,"comment" : "ExponentsOfPcElement: unsorted pcgs","location" : {"line" : 1089,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsUnsortedPcgsRep"],[]]},{"rank" : 25,"comment" : "ExponentsOfPcElement: pcgs modulo tail-pcgs","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep"],[]]},{"rank" : 25,"comment" : "ExponentsOfPcElement: modpcgs numerator parent layers","location" : {"line" : 861,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloPcgsRep","IsNumeratorParentLayersForExponentsRep"],[]]},{"rank" : 24,"comment" : "ExponentsOfPcElement: pcgs modulo pcgs","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloPcgsRep"],[]]},{"rank" : 21,"comment" : "ExponentsOfPcElement: pc series","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsPcgs"],[]]}],"3args" : [{"rank" : 389,"comment" : "ExponentsOfPcElement","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 377,"comment" : "ExponentsOfPcElement: perm group with 0 positions","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 181,"comment" : "ExponentsOfPcElement: family pcgs\/32 bit","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is32BitsPcWordRep"],["IsList"]]},{"rank" : 181,"comment" : "ExponentsOfPcElement: family pcgs\/16 bit","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is16BitsPcWordRep"],["IsList"]]},{"rank" : 181,"comment" : "ExponentsOfPcElement: family pcgs\/8 bit","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["Is8BitsPcWordRep"],["IsList"]]},{"rank" : 66,"comment" : "ExponentsOfPcElement: perm group with positions","location" : {"line" : 1019,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 54,"comment" : "ExponentsOfPcElement: perm group with 0 positions","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 32,"comment" : "ExponentsOfPcElement: subset of induced pcgs, subrange","location" : {"line" : 1488,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsSubsetInducedPcgsRep"],[],["IsList"]]},{"rank" : 32,"comment" : "ExponentsOfPcElement: induced pcgs, subrange","location" : {"line" : 1415,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"],[],["IsList"]]},{"rank" : 28,"comment" : "ExponentsOfPcElement: sorted pcgs\/range","location" : {"line" : 1218,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],[],["IsList"]],"aka" : ["ExpPcElmSortedFun"]},{"rank" : 28,"comment" : "ExponentsOfPcElement: subset induced pcgs modulo tail-pcgs, subrange","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep","IsNumeratorParentForExponentsRep"],[],["IsList"]]},{"rank" : 27,"comment" : "ExponentsOfPcElement: unsorted pcgs\/range","location" : {"line" : 1172,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsUnsortedPcgsRep"],[],["IsList"]]},{"rank" : 27,"comment" : "ExponentsOfPcElement: pcgs modulo tail-pcgs, subrange","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep"],[],["IsList"]]},{"rank" : 26,"comment" : "ExponentsOfPcElement: pcgs modulo pcgs, subrange","location" : {"line" : 920,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloPcgsRep"],[],["IsList"]]},{"rank" : 23,"comment" : "ExponentsOfPcElement: with positions, falling back to ExponentsOfPcElement","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],["IsList"]]},{"rank" : 22,"comment" : "ExponentsOfPcElement: pcgs mod. pcgs,range, falling back to Exp.OfPcElement","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentsOfPcElement"]},{"name" : "ExponentsOfConjugate","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 886,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 114,"comment" : "ExponentsOfConjugate: family pcgs: look up","location" : {"line" : 841,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 64,"comment" : "ExponentsOfConjugate: subset induced pcgs modulo tail-pcgs","location" : {"line" : 1178,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep","IsNumeratorParentForExponentsRep"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 58,"comment" : "ExponentsOfConjugate: generic: compute conjugate","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentsOfConjugate"]},{"name" : "ExponentsOfRelativePower","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 909,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 95,"comment" : "ExponentsOfRelativePower: family pcgs: look up","location" : {"line" : 856,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "ExponentsOfRelativePower: subset induced pcgs modulo tail-pcgs","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsRep","IsNumeratorParentForExponentsRep"],["IsInt","IsPosRat"]]},{"rank" : 39,"comment" : "ExponentsOfRelativePower: generic: compute power","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentsOfRelativePower"]},{"name" : "ExponentsOfCommutator","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 931,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 58,"comment" : "ExponentsOfCommutator: generic: compute commutator","location" : {"line" : 484,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentsOfCommutator"]},{"name" : "LeadingExponentOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 360,"comment" : "LeadingExponentOfPcElement: handled by nice monomorphism: attribute CollElm","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsPcgs","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 185,"comment" : "LeadingExponentOfPcElement: family pcgs (32 bits)","location" : {"line" : 828,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"]],"aka" : ["32Bits_LeadingExponentOfPcElement"]},{"rank" : 185,"comment" : "LeadingExponentOfPcElement: family pcgs (16 bits)","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"]],"aka" : ["16Bits_LeadingExponentOfPcElement"]},{"rank" : 185,"comment" : "LeadingExponentOfPcElement: family pcgs (8 bits)","location" : {"line" : 616,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"]],"aka" : ["8Bits_LeadingExponentOfPcElement"]},{"rank" : 82,"comment" : "LeadingExponentOfPcElement: family pcgs","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws"]]},{"rank" : 37,"comment" : "LeadingExponentOfPcElement","location" : {"line" : 1000,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"]]},{"rank" : 30,"comment" : "LeadingExponentOfPcElement: subset induced pcgs","location" : {"line" : 1503,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsSubsetInducedPcgsRep"],[]]},{"rank" : 26,"comment" : "LeadingExponentOfPcElement: sorted pcgs","location" : {"line" : 1293,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],[]]},{"rank" : 25,"comment" : "LeadingExponentOfPcElement: unsorted pcgs","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsUnsortedPcgsRep"],[]]},{"rank" : 21,"comment" : "LeadingExponentOfPcElement: generic methods, ExponentsOfPcElement","location" : {"line" : 537,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[]]},{"rank" : 20,"comment" : "LeadingExponentOfPcElement: pcgs modulo pcgs, use ExponentsOfPcElement","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LeadingExponentOfPcElement"]},{"name" : "DepthAndLeadingExponentOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "DepthAndLeadingExponentOfPcElement: permpcgs","location" : {"line" : 982,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsPerm"]]},{"rank" : 20,"comment" : "DepthAndLeadingExponentOfPcElement: generic methods, ExponentsOfPcElement","location" : {"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DepthAndLeadingExponentOfPcElement"]},{"name" : "PcElementByExponentsNC","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"]]],"locations" : [{"line" : 1001,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 107,"comment" : "PcElementByExponentsNC: family pcgs, FFE","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 107,"comment" : "PcElementByExponentsNC: family pcgs","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 83,"comment" : "PcElementByExponentsNC: subset induced wrt family pcgs, FFE","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsSubsetInducedPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 83,"comment" : "PcElementByExponentsNC: subset induced wrt family pcgs","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsSubsetInducedPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 63,"comment" : "PcElementByExponentsNC: modulo subset induced wrt family pcgs, FFE","location" : {"line" : 1111,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)","IsSubsetInducedNumeratorModuloTailPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 63,"comment" : "PcElementByExponentsNC: modulo subset induced wrt family pcgs","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)","IsSubsetInducedNumeratorModuloTailPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 51,"comment" : "PcElementByExponentsNC: generic method: modulo, FFE","location" : {"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 51,"comment" : "PcElementByExponentsNC: generic method: modulo","location" : {"line" : 619,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 38,"comment" : "PcElementByExponentsNC: generic method for empty lists","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 37,"comment" : "PcElementByExponentsNC: generic method for empty lists","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 33,"comment" : "PcElementByExponentsNC: generic method","location" : {"line" : 677,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 33,"comment" : "PcElementByExponentsNC: generic method: call LinearCombinationPcgs","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]}],"3args" : [{"rank" : 10039,"comment" : "PcElementByExponentsNC: generic method for empty list as basis or basisindex, modulo","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"]]},{"rank" : 138,"comment" : "PcElementByExponentsNC: family pcgs, basisind, FFE","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 138,"comment" : "PcElementByExponentsNC: family pcgs, index","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 114,"comment" : "PcElementByExponentsNC: subset induced wrt family pcgs, FFE,index","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsSubsetInducedPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 114,"comment" : "PcElementByExponentsNC: subset induced wrt family pcgs, index","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsSubsetInducedPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 94,"comment" : "PcElementByExponentsNC: modulo subset induced wrt family pcgs, FFE, index","location" : {"line" : 1126,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)","IsSubsetInducedNumeratorModuloTailPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 94,"comment" : "PcElementByExponentsNC: modulo subset induced wrt family pcgs,index","location" : {"line" : 1093,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)","IsSubsetInducedNumeratorModuloTailPcgsRep"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 82,"comment" : "PcElementByExponentsNC: index: defer to basis,FFE","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 82,"comment" : "PcElementByExponentsNC: index: defer to basis","location" : {"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 55,"comment" : "PcElementByExponentsNC: generic method for empty lists","location" : {"line" : 687,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 54,"comment" : "PcElementByExponentsNC: multiply base elts., FFE","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]],"aka" : ["DoPcElementByExponentsGeneric"]},{"rank" : 54,"comment" : "PcElementByExponentsNC: multiply basis elements","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]},{"rank" : 53,"comment" : "PcElementByExponentsNC: generic method: modulo, basis, FFE","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsFFE)"]]},{"rank" : 53,"comment" : "PcElementByExponentsNC: generic method: modulo, basis","location" : {"line" : 696,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsModuloPcgs"],["IsList"],["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","CategoryCollections(IsCyclotomic)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PcElementByExponentsNC"]},{"name" : "SumOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[],[]]],"locations" : [{"line" : 1081,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 21,"comment" : "SumOfPcElement: generic methods, PcElementByExponents+ExponentsOfPcElement","location" : {"line" : 865,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SumOfPcElement"]},{"name" : "ReducedPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[],[]]],"locations" : [{"line" : 1100,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 25,"comment" : "ReducedPcElement: generic method","location" : {"line" : 748,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],[],[]]},{"rank" : 20,"comment" : "ReducedPcElement: pcgs modulo pcgs","location" : {"line" : 684,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedPcElement"]},{"name" : "RelativeOrderOfPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 1120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 29,"comment" : "RelativeOrderOfPcElement: fp","location" : {"line" : 1175,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsModuloPcgsFpGroupRep"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 25,"comment" : "RelativeOrderOfPcElement: for IsPrimeOrdersPcgs using RelativeOrders","location" : {"line" : 771,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],[]]},{"rank" : 21,"comment" : "RelativeOrderOfPcElement: general method using RelativeOrders","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[]]},{"rank" : 20,"comment" : "RelativeOrderOfPcElement: pcgs modulo pcgs","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RelativeOrderOfPcElement"]},{"name" : "HeadPcElementByNumber","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[],["IsInt"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 203,"comment" : "HeadPcElementByNumber: family pcgs (32bits)","location" : {"line" : 799,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"],["IsInt"]]},{"rank" : 203,"comment" : "HeadPcElementByNumber: family pcgs (16bits)","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"],["IsInt"]]},{"rank" : 203,"comment" : "HeadPcElementByNumber: family pcgs (8bits)","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"],["IsInt"]]},{"rank" : 39,"comment" : "HeadPcElementByNumber: using 'ExponentsOfPcElement', 'PcElementByExponents'","location" : {"line" : 508,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],[],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HeadPcElementByNumber"]},{"name" : "CleanedTailPcElement","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[],["IsInt"]]],"locations" : [{"line" : 1169,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 203,"comment" : "CleanedTailPcElement: family pcgs (32bits)","location" : {"line" : 815,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"],["IsInt"]]},{"rank" : 203,"comment" : "CleanedTailPcElement: family pcgs (16bits)","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"],["IsInt"]]},{"rank" : 203,"comment" : "CleanedTailPcElement: family pcgs (8bits)","location" : {"line" : 603,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"],["IsInt"]]},{"rank" : 100,"comment" : "CleanedTailPcElement: family pcgs","location" : {"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]},{"rank" : 50,"comment" : "CleanedTailPcElement: sorted pcgs - defer to sorting pcgs","location" : {"line" : 1304,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsSortedPcgsRep"],["IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "CleanedTailPcElement: generic: do nothing","location" : {"line" : 802,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsMultiplicativeElementWithInverse"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CleanedTailPcElement"]},{"name" : "ExtendedIntersectionSumPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"],["IsList"],[]]],"locations" : [{"line" : 1191,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 29,"comment" : "ExtendedIntersectionSumPcgs: generic method for modulo pcgs","location" : {"line" : 988,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"],[]]}],"5args" : [],"6args" : []},"aka" : ["ExtendedIntersectionSumPcgs"]},{"name" : "IntersectionSumPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"],["IsList"]]],"locations" : [{"line" : 1207,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 55,"comment" : "IntersectionSumPcgs: prime orders pcgs, tail-pcgs, list","location" : {"line" : 1141,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsInducedPcgs","IsTailInducedPcgsRep"],["IsList"]]},{"rank" : 29,"comment" : "IntersectionSumPcgs: using 'ExtendedIntersectionSumPcgs'","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IntersectionSumPcgs"]},{"name" : "NormalIntersectionPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"],["IsList"]]],"locations" : [{"line" : 1223,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 79,"comment" : "NormalIntersectionPcgs: prime orders pcgs, tail-pcgs, induced-pcgs","location" : {"line" : 1224,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsInducedPcgs","IsTailInducedPcgsRep"],["IsInducedPcgs","IsInducedPcgsRep"]]},{"rank" : 55,"comment" : "NormalIntersectionPcgs: prime orders pcgs, tail-pcgs, list","location" : {"line" : 1183,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsInducedPcgs","IsTailInducedPcgsRep"],["IsList"]]},{"rank" : 29,"comment" : "NormalIntersectionPcgs: using 'ExtendedIntersectionSumPcgs'","location" : {"line" : 1023,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalIntersectionPcgs"]},{"name" : "SumPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"],["IsList"]]],"locations" : [{"line" : 1239,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 29,"comment" : "SumPcgs: generic method","location" : {"line" : 1094,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SumPcgs"]},{"name" : "SumFactorizationFunctionPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"],["IsList"],[]]],"locations" : [{"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 29,"comment" : "SumFactorizationFunctionPcgs: generic method","location" : {"line" : 1151,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"],[]]}],"5args" : [],"6args" : []},"aka" : ["SumFactorizationFunctionPcgs"]},{"name" : "EnumeratorByPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 1305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "EnumeratorByPcgs: pcgs","location" : {"line" : 1267,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]}],"2args" : [{"rank" : 23,"comment" : "EnumeratorByPcgs: pcgs, sublist","location" : {"line" : 1281,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EnumeratorByPcgs"]},{"name" : "ExtendedPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsList"]]],"locations" : [{"line" : 1324,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 87,"comment" : "ExtendedPcgs: perm pcgs","location" : {"line" : 966,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsList","CategoryCollections(IsPerm)"]]},{"rank" : 38,"comment" : "ExtendedPcgs: pcgs, empty list","location" : {"line" : 876,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 24,"comment" : "ExtendedPcgs: induced pcgs","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsInducedPcgs"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtendedPcgs"]},{"name" : "InducedPcgsByPcSequence","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"]]],"locations" : [{"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "InducedPcgsByPcSequence","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 26,"comment" : "InducedPcgsByPcSequence","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsHomogeneousList","IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByPcSequence"]},{"name" : "InducedPcgsByPcSequenceNC","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 87,"comment" : "InducedPcgsByPcSequenceNC: tail of perm pcgs","location" : {"line" : 910,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsPcgsPermGroupRep"],["IsList","CategoryCollections(IsPerm)"]]},{"rank" : 38,"comment" : "InducedPcgsByPcSequenceNC: pcgs, empty list","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 26,"comment" : "InducedPcgsByPcSequenceNC: pcgs, homogeneous list","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsHomogeneousList","IsCollection"]],"aka" : ["DoInducedPcgsByPcSequenceNC"]}],"3args" : [{"rank" : 40,"comment" : "InducedPcgsByPcSequenceNC: pcgs, empty list,depths","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"]]},{"rank" : 28,"comment" : "InducedPcgsByPcSequenceNC: pcgs, homogeneous list, depths","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsHomogeneousList","IsCollection"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByPcSequenceNC"]},{"name" : "LeadCoeffsIGS","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "LeadCoeffsIGS: system getter","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeadCoeffsIGS)"]]},{"rank" : 30,"comment" : "LeadCoeffsIGS: generic","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeadCoeffsIGS)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],[]]],"locations" : [{"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeadCoeffsIGS): system setter","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeadCoeffsIGS): default method, does nothing","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeadCoeffsIGS"]},{"name" : "Tester(LeadCoeffsIGS)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeadCoeffsIGS"]},{"name" : "InducedPcgsByPcSequenceAndGenerators","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"],["IsList"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 29,"comment" : "InducedPcgsByPcSequenceAndGenerators","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByPcSequenceAndGenerators"]},{"name" : "InducedPcgsByGenerators","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsCollection"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "InducedPcgsByGenerators","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 23,"comment" : "InducedPcgsByGenerators: pcgs, collection","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByGenerators"]},{"name" : "InducedPcgsByGeneratorsNC","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsCollection"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "InducedPcgsByGeneratorsNC: pcgs, empty list","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 27,"comment" : "InducedPcgsByGeneratorsNC: prime order pcgs, collection","location" : {"line" : 688,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsCollection"]]},{"rank" : 0,"comment" : "InducedPcgsByGeneratorsNC:  fallback method to test conditions","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsCollection"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByGeneratorsNC"]},{"name" : "InducedPcgsByGeneratorsWithImages","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsCollection"],["IsCollection"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 59,"comment" : "InducedPcgsByGeneratorsWithImages","location" : {"line" : 579,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 29,"comment" : "InducedPcgsByGeneratorsWithImages","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsCollection"],["IsCollection"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsByGeneratorsWithImages"]},{"name" : "CanonicalPcgsByGeneratorsWithImages","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsCollection"],["IsCollection"]]],"locations" : [{"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 29,"comment" : "CanonicalPcgsByGeneratorsWithImages","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsCollection"],["IsCollection"]]},{"rank" : 25,"comment" : "CanonicalPcgsByGeneratorsWithImages","location" : {"line" : 652,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CanonicalPcgsByGeneratorsWithImages"]},{"name" : "AsInducedPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "AsInducedPcgs","location" : {"line" : 737,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 25,"comment" : "AsInducedPcgs","location" : {"line" : 748,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsInducedPcgs"]},{"name" : "ParentPcgs","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ParentPcgs: system getter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(ParentPcgs)"]]},{"rank" : 21,"comment" : "ParentPcgs","location" : {"line" : 514,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ParentPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],[]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ParentPcgs): system setter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ParentPcgs): default method, does nothing","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetParentPcgs"]},{"name" : "Tester(ParentPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasParentPcgs"]},{"name" : "CanonicalPcgs","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "CanonicalPcgs: system getter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalPcgs)"]]},{"rank" : 10024,"comment" : "CanonicalPcgs: of an canonical pcgs","location" : {"line" : 890,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsCanonicalPcgs","Tester(IsCanonicalPcgs)"]]},{"rank" : 26,"comment" : "CanonicalPcgs: induced prime orders pcgs","location" : {"line" : 877,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs"]]},{"rank" : 0,"comment" : "CanonicalPcgs:  fallback method to test conditions","location" : {"line" : 880,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsInducedPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],[]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalPcgs): system setter","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalPcgs): default method, does nothing","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalPcgs"]},{"name" : "Tester(CanonicalPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalPcgs"]},{"name" : "IsCanonicalPcgs","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsCanonicalPcgs: system getter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],["IsBool"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalPcgs): system setter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalPcgs): default method, does nothing","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalPcgs"]},{"name" : "Tester(IsCanonicalPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsParentPcgsFamilyPcgs","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsParentPcgsFamilyPcgs: system getter","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsParentPcgsFamilyPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsParentPcgsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],["IsBool"]]],"locations" : [{"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsParentPcgsFamilyPcgs): system setter","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsParentPcgsFamilyPcgs): default method, does nothing","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsParentPcgsFamilyPcgs"]},{"name" : "Tester(IsParentPcgsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"]]],"locations" : [{"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ElementaryAbelianSubseries","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "ElementaryAbelianSubseries: system getter","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep","Tester(ElementaryAbelianSubseries)"]]},{"rank" : 21,"comment" : "ElementaryAbelianSubseries: generic method","location" : {"line" : 1097,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ElementaryAbelianSubseries)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ElementaryAbelianSubseries): system setter","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ElementaryAbelianSubseries): default method, does nothing","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetElementaryAbelianSubseries"]},{"name" : "Tester(ElementaryAbelianSubseries)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasElementaryAbelianSubseries"]},{"name" : "CanonicalPcElement","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],[]]],"locations" : [{"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 158,"comment" : "CanonicalPcElement: tail induced pcgs, 32bits word","location" : {"line" : 737,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsInducedPcgs","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsTailInducedPcgsRep"],["IsMultiplicativeElementWithInverseByRws","Is32BitsPcWordRep"]]},{"rank" : 158,"comment" : "CanonicalPcElement: tail induced pcgs, 16bits word","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsInducedPcgs","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsTailInducedPcgsRep"],["IsMultiplicativeElementWithInverseByRws","Is16BitsPcWordRep"]]},{"rank" : 158,"comment" : "CanonicalPcElement: tail induced pcgs, 8bits word","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsInducedPcgs","IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsTailInducedPcgsRep"],["IsMultiplicativeElementWithInverseByRws","Is8BitsPcWordRep"]]},{"rank" : 30,"comment" : "CanonicalPcElement: generic method","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"],[]],"aka" : ["CANONICAL_PC_ELEMENT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CanonicalPcElement"]},{"name" : "SiftedPcElement","type" : "GAP_Operation","filters" : [[["IsInducedPcgs"],[]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 81,"comment" : "SiftedPcElement: family pcgs","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsPcgs","IsFamilyPcgs","Tester(IsFamilyPcgs)"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 30,"comment" : "SiftedPcElement: for induced pcgs","location" : {"line" : 1459,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsInducedPcgs","IsInducedPcgsRep"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SiftedPcElement"]},{"name" : "HomomorphicCanonicalPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"]]],"locations" : [{"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "HomomorphicCanonicalPcgs: pcgs, list","location" : {"line" : 906,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList"]]}],"3args" : [{"rank" : 23,"comment" : "HomomorphicCanonicalPcgs: pcgs, list, object","location" : {"line" : 923,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HomomorphicCanonicalPcgs"]},{"name" : "HomomorphicInducedPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"]]],"locations" : [{"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 29,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 956,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 39,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 972,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsFunction"]]},{"rank" : 38,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs"],["IsList","IsEmpty","Tester(IsEmpty)"],[]]},{"rank" : 30,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsHomogeneousList"],["IsFunction"]]},{"rank" : 29,"comment" : "HomomorphicInducedPcgs","location" : {"line" : 1016,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsind.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsHomogeneousList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HomomorphicInducedPcgs"]},{"name" : "IsFamilyPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsFamilyPcgs: system getter","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFamilyPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFamilyPcgs): system setter","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFamilyPcgs): default method, does nothing","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFamilyPcgs"]},{"name" : "Tester(IsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ModuloPcgsByPcSequenceNC","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"],["IsPcgs"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 44,"comment" : "ModuloPcgsByPcSequenceNC: generic method for pcgs mod pcgs","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"],["IsList"],["IsPcgs"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ModuloPcgsByPcSequenceNC"]},{"name" : "ModuloPcgsByPcSequence","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsList"],["IsPcgs"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 45,"comment" : "ModuloPcgsByPcSequence: generic method","location" : {"line" : 416,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"],["IsList"],["IsInducedPcgs"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ModuloPcgsByPcSequence"]},{"name" : "ModuloPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 110,"comment" : "ModuloPcgs: for permutation groups","location" : {"line" : 1162,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 74,"comment" : "ModuloPcgs: subgroups fp","location" : {"line" : 1160,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "ModuloPcgs: for groups","location" : {"line" : 1061,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ModuloPcgs"]},{"name" : "DenominatorOfModuloPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "DenominatorOfModuloPcgs: system getter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep","Tester(DenominatorOfModuloPcgs)"]]},{"rank" : 26,"comment" : "DenominatorOfModuloPcgs","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsModuloPcgsPermGroupRep"]]},{"rank" : 26,"comment" : "DenominatorOfModuloPcgs: modolo-tail-pcgs-by-list-rep","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsByListRep"]]},{"rank" : 24,"comment" : "DenominatorOfModuloPcgs: fp","location" : {"line" : 1166,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsModuloPcgsFpGroupRep"]]},{"rank" : 21,"comment" : "DenominatorOfModuloPcgs: for pcgs","location" : {"line" : 1046,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DenominatorOfModuloPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DenominatorOfModuloPcgs): system setter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DenominatorOfModuloPcgs): default method, does nothing","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDenominatorOfModuloPcgs"]},{"name" : "Tester(DenominatorOfModuloPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDenominatorOfModuloPcgs"]},{"name" : "NumeratorOfModuloPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "NumeratorOfModuloPcgs: system getter","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep","Tester(NumeratorOfModuloPcgs)"]]},{"rank" : 26,"comment" : "NumeratorOfModuloPcgs","location" : {"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsModuloPcgsPermGroupRep"]]},{"rank" : 26,"comment" : "NumeratorOfModuloPcgs: modolo-tail-pcgs-by-list-rep","location" : {"line" : 1008,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsModuloTailPcgsByListRep"]]},{"rank" : 24,"comment" : "NumeratorOfModuloPcgs: fp","location" : {"line" : 1163,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsModuloPcgsFpGroupRep"]]},{"rank" : 21,"comment" : "NumeratorOfModuloPcgs: for pcgs","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsPcgs"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NumeratorOfModuloPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],[]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NumeratorOfModuloPcgs): system setter","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NumeratorOfModuloPcgs): default method, does nothing","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNumeratorOfModuloPcgs"]},{"name" : "Tester(NumeratorOfModuloPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNumeratorOfModuloPcgs"]},{"name" : "IsNumeratorParentPcgsFamilyPcgs","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsNumeratorParentPcgsFamilyPcgs: system getter","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNumeratorParentPcgsFamilyPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNumeratorParentPcgsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsBool"]]],"locations" : [{"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNumeratorParentPcgsFamilyPcgs): system setter","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNumeratorParentPcgsFamilyPcgs): default method, does nothing","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNumeratorParentPcgsFamilyPcgs"]},{"name" : "Tester(IsNumeratorParentPcgsFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"]]],"locations" : [{"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ExponentsConjugateLayer","type" : "GAP_Operation","filters" : [[["IsModuloPcgs"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 59,"comment" : "ExponentsConjugateLayer: subset induced pcgs","location" : {"line" : 491,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgspcg.gi"},"filters" : [["IsParentPcgsFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsTailInducedPcgsRep"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 42,"comment" : "ExponentsConjugateLayer: subset induced modulo pcgs","location" : {"line" : 1136,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)","IsSubsetInducedNumeratorModuloTailPcgsRep"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]},{"rank" : 30,"comment" : "ExponentsConjugateLayer: default: compute brute force","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsmodu.gi"},"filters" : [["IsModuloPcgs"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExponentsConjugateLayer"]},{"name" : "IsSpecialPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsSpecialPcgs: system getter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSpecialPcgs): system setter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSpecialPcgs): default method, does nothing","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSpecialPcgs"]},{"name" : "Tester(IsSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SpecialPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "SpecialPcgs: system getter","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(SpecialPcgs)"]]},{"rank" : 35,"comment" : "SpecialPcgs: last resort method which tests solvability","location" : {"line" : 710,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "SpecialPcgs: generic method for groups","location" : {"line" : 694,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "SpecialPcgs: method for special pcgs","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsSpecialPcgs","Tester(IsSpecialPcgs)"]]},{"rank" : 25,"comment" : "SpecialPcgs: generic method for pcgs","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsPcgs","IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SpecialPcgs): system setter","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SpecialPcgs): default method, does nothing","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSpecialPcgs"]},{"name" : "Tester(SpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSpecialPcgs"]},{"name" : "LGHeads","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LGHeads: system getter","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGHeads)"]]},{"rank" : 25,"comment" : "LGHeads: for special pcgs","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsSpecialPcgs","Tester(IsSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGHeads)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGHeads): system setter","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGHeads): default method, does nothing","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGHeads"]},{"name" : "Tester(LGHeads)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGHeads"]},{"name" : "LGTails","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LGTails: system getter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGTails)"]]},{"rank" : 25,"comment" : "LGTails: for special pcgs","location" : {"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsSpecialPcgs","Tester(IsSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGTails)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGTails): system setter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGTails): default method, does nothing","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGTails"]},{"name" : "Tester(LGTails)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGTails"]},{"name" : "LGWeights","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LGWeights: system getter","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGWeights)"]]},{"rank" : 23,"comment" : "LGWeights: for induced wrt special","location" : {"line" : 835,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsInducedPcgsWrtSpecialPcgs","Tester(IsInducedPcgsWrtSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGWeights)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGWeights): system setter","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGWeights): default method, does nothing","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGWeights"]},{"name" : "Tester(LGWeights)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGWeights"]},{"name" : "LGLayers","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LGLayers: system getter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGLayers)"]]},{"rank" : 23,"comment" : "LGLayers: for induced wrt special","location" : {"line" : 862,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsInducedPcgsWrtSpecialPcgs","Tester(IsInducedPcgsWrtSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGLayers)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGLayers): system setter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGLayers): default method, does nothing","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGLayers"]},{"name" : "Tester(LGLayers)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGLayers"]},{"name" : "LGFirst","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LGFirst: system getter","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGFirst)"]]},{"rank" : 23,"comment" : "LGFirst: for induced wrt special","location" : {"line" : 888,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsInducedPcgsWrtSpecialPcgs","Tester(IsInducedPcgsWrtSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGFirst)","type" : "GAP_Operation","filters" : [[["IsPcgs"],[]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGFirst): system setter","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGFirst): default method, does nothing","location" : {"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGFirst"]},{"name" : "Tester(LGFirst)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGFirst"]},{"name" : "LGLength","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "LGLength: system getter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(LGLength)"]]},{"rank" : 35,"comment" : "LGLength: for groups","location" : {"line" : 905,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "LGLength: default method requiring categories and checking properties","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LGLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LGLength): system setter","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LGLength): default method, does nothing","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLGLength"]},{"name" : "Tester(LGLength)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLGLength"]},{"name" : "InducedPcgsWrtSpecialPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "InducedPcgsWrtSpecialPcgs: system getter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(InducedPcgsWrtSpecialPcgs)"]]},{"rank" : 43,"comment" : "InducedPcgsWrtSpecialPcgs: method for pc groups","location" : {"line" : 775,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 36,"comment" : "InducedPcgsWrtSpecialPcgs: for groups that have already an induced pcgs wrt family pcgs","location" : {"line" : 804,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(InducedPcgsWrtFamilyPcgs)"]],"aka" : ["IndPcgsWrtSpecFromFamOrHome"]},{"rank" : 36,"comment" : "InducedPcgsWrtSpecialPcgs: for groups that have already an induced pcgs wrt home pcgs","location" : {"line" : 804,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(InducedPcgsWrtHomePcgs)"]]},{"rank" : 35,"comment" : "InducedPcgsWrtSpecialPcgs: generic method for groups","location" : {"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "InducedPcgsWrtSpecialPcgs: default method requiring categories and checking properties","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InducedPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InducedPcgsWrtSpecialPcgs): system setter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InducedPcgsWrtSpecialPcgs): default method, does nothing","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInducedPcgsWrtSpecialPcgs"]},{"name" : "Tester(InducedPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInducedPcgsWrtSpecialPcgs"]},{"name" : "CanonicalPcgsWrtSpecialPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CanonicalPcgsWrtSpecialPcgs: system getter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalPcgsWrtSpecialPcgs)"]]},{"rank" : 0,"comment" : "CanonicalPcgsWrtSpecialPcgs: default method requiring categories and checking properties","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalPcgsWrtSpecialPcgs): system setter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalPcgsWrtSpecialPcgs): default method, does nothing","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalPcgsWrtSpecialPcgs"]},{"name" : "Tester(CanonicalPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalPcgsWrtSpecialPcgs"]},{"name" : "IsInducedPcgsWrtSpecialPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsInducedPcgsWrtSpecialPcgs: system getter","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInducedPcgsWrtSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInducedPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInducedPcgsWrtSpecialPcgs): system setter","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInducedPcgsWrtSpecialPcgs): default method, does nothing","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInducedPcgsWrtSpecialPcgs"]},{"name" : "Tester(IsInducedPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCanonicalPcgsWrtSpecialPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsCanonicalPcgsWrtSpecialPcgs: system getter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalPcgsWrtSpecialPcgs)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsBool"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalPcgsWrtSpecialPcgs): system setter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalPcgsWrtSpecialPcgs): default method, does nothing","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalPcgsWrtSpecialPcgs"]},{"name" : "Tester(IsCanonicalPcgsWrtSpecialPcgs)","type" : "GAP_Operation","filters" : [[["IsPcgs"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsspec.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CanonicalPcgsWrtFamilyPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CanonicalPcgsWrtFamilyPcgs: system getter","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalPcgsWrtFamilyPcgs)"]]},{"rank" : 36,"comment" : "CanonicalPcgsWrtFamilyPcgs","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)"]]},{"rank" : 0,"comment" : "CanonicalPcgsWrtFamilyPcgs: default method requiring categories and checking properties","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalPcgsWrtFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalPcgsWrtFamilyPcgs): system setter","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalPcgsWrtFamilyPcgs): default method, does nothing","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalPcgsWrtFamilyPcgs"]},{"name" : "Tester(CanonicalPcgsWrtFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalPcgsWrtFamilyPcgs"]},{"name" : "CanonicalPcgsWrtHomePcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CanonicalPcgsWrtHomePcgs: system getter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalPcgsWrtHomePcgs)"]]},{"rank" : 36,"comment" : "CanonicalPcgsWrtHomePcgs","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 0,"comment" : "CanonicalPcgsWrtHomePcgs: default method requiring categories and checking properties","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalPcgsWrtHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalPcgsWrtHomePcgs): system setter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalPcgsWrtHomePcgs): default method, does nothing","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalPcgsWrtHomePcgs"]},{"name" : "Tester(CanonicalPcgsWrtHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalPcgsWrtHomePcgs"]},{"name" : "FamilyPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "FamilyPcgs: system getter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamilyPcgs)"]]},{"rank" : 0,"comment" : "FamilyPcgs: default method requiring categories and checking properties","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamilyPcgs): system setter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamilyPcgs): default method, does nothing","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamilyPcgs"]},{"name" : "Tester(FamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamilyPcgs"]},{"name" : "HomePcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "HomePcgs: system getter","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(HomePcgs)"]]},{"rank" : 56,"comment" : "HomePcgs: use a perm pcgs if possible","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(Pcgs)"]]},{"rank" : 55,"comment" : "HomePcgs: try to compute a perm pcgs","location" : {"line" : 800,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "HomePcgs","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "HomePcgs: default method requiring categories and checking properties","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(HomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(HomePcgs): system setter","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(HomePcgs): default method, does nothing","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHomePcgs"]},{"name" : "Tester(HomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasHomePcgs"]},{"name" : "InducedPcgsWrtFamilyPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "InducedPcgsWrtFamilyPcgs: system getter","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(InducedPcgsWrtFamilyPcgs)"]]},{"rank" : 45,"comment" : "InducedPcgsWrtFamilyPcgs: whole family","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 36,"comment" : "InducedPcgsWrtFamilyPcgs","location" : {"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)"]]},{"rank" : 0,"comment" : "InducedPcgsWrtFamilyPcgs: default method requiring categories and checking properties","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InducedPcgsWrtFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InducedPcgsWrtFamilyPcgs): system setter","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InducedPcgsWrtFamilyPcgs): default method, does nothing","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInducedPcgsWrtFamilyPcgs"]},{"name" : "Tester(InducedPcgsWrtFamilyPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInducedPcgsWrtFamilyPcgs"]},{"name" : "InducedPcgs","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "InducedPcgs: cache pcgs","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgs"]},{"name" : "InducedPcgsOp","type" : "GAP_Operation","filters" : [[["IsPcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 57,"comment" : "InducedPcgsOp: sift existing pcgs","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(Pcgs)"]]},{"rank" : 56,"comment" : "InducedPcgsOp: generic method","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPcgs"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedPcgsOp"]},{"name" : "ComputedInducedPcgses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedInducedPcgses: system getter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedInducedPcgses)"]]},{"rank" : 35,"comment" : "ComputedInducedPcgses: default method","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedInducedPcgses: default method requiring categories and checking properties","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedInducedPcgses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedInducedPcgses): system mutable setter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedInducedPcgses): default method, does nothing","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedInducedPcgses"]},{"name" : "Tester(ComputedInducedPcgses)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedInducedPcgses"]},{"name" : "InducedPcgsWrtHomePcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "InducedPcgsWrtHomePcgs: system getter","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(InducedPcgsWrtHomePcgs)"]]},{"rank" : 57,"comment" : "InducedPcgsWrtHomePcgs: tail of perm pcgs","location" : {"line" : 933,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["Tester(HomePcgs)","IsMemberPcSeriesPermGroup"]]},{"rank" : 43,"comment" : "InducedPcgsWrtHomePcgs: pc group: home=family","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 35,"comment" : "InducedPcgsWrtHomePcgs: from generators","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "InducedPcgsWrtHomePcgs: default method requiring categories and checking properties","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InducedPcgsWrtHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InducedPcgsWrtHomePcgs): system setter","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InducedPcgsWrtHomePcgs): default method, does nothing","location" : {"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInducedPcgsWrtHomePcgs"]},{"name" : "Tester(InducedPcgsWrtHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 245,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInducedPcgsWrtHomePcgs"]},{"name" : "Pcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Pcgs: system getter","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(Pcgs)"]]},{"rank" : 10036,"comment" : "Pcgs: take induced pcgs","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(InducedPcgsWrtHomePcgs)"]]},{"rank" : 10036,"comment" : "Pcgs: fail if insolvable","location" : {"line" : 232,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["Tester(IsSolvableGroup)"]]},{"rank" : 369,"comment" : "Pcgs: via niceomorphism","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 156,"comment" : "Pcgs: tail of perm pcgs","location" : {"line" : 760,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["IsMemberPcSeriesPermGroup"]],"aka" : ["PcgsMemberPcSeriesPermGroup"]},{"rank" : 155,"comment" : "Pcgs: Sims's method","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 95,"comment" : "Pcgs: for direct products","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 44,"comment" : "Pcgs: from independent generators of abelian group","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","CanEasilyComputeWithIndependentGensAbelianGroup"]]},{"rank" : 44,"comment" : "Pcgs: from independent generators of abelian group","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(IndependentGeneratorsOfAbelianGroup)"]]},{"rank" : 38,"comment" : "Pcgs: for a group containing the whole family and with known family pcgs","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)"]]},{"rank" : 37,"comment" : "Pcgs: for a group with known home pcgs","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 36,"comment" : "Pcgs: for a group with known family pcgs","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FamilyPcgs)"]]},{"rank" : 35,"comment" : "Pcgs: generic method using CompositionSeries","location" : {"line" : 133,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgscomp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Pcgs: default method requiring categories and checking properties","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Pcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "Setter(Pcgs)","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]},{"rank" : 2,"comment" : "Setter(Pcgs): system setter","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Pcgs): default method, does nothing","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPcgs"]},{"name" : "Tester(Pcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPcgs"]},{"name" : "GeneralizedPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "GeneralizedPcgs: system getter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneralizedPcgs)"]]},{"rank" : 36,"comment" : "GeneralizedPcgs","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(Pcgs)"]]},{"rank" : 0,"comment" : "GeneralizedPcgs: default method requiring categories and checking properties","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneralizedPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneralizedPcgs): system setter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneralizedPcgs): default method, does nothing","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneralizedPcgs"]},{"name" : "Tester(GeneralizedPcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneralizedPcgs"]},{"name" : "SubgroupByPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPcgs"]]],"locations" : [{"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "SubgroupByPcgs: subgroup with pcgs","location" : {"line" : 607,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPcgs"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubgroupByPcgs"]},{"name" : "AffineAction","type" : "GAP_Operation","filters" : [[["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"],["IsFunction"]]],"locations" : [{"line" : 356,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 67,"comment" : "AffineAction: group","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"],["IsFunction"]]},{"rank" : 53,"comment" : "AffineAction: pcgs","location" : {"line" : 789,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPcgs"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"],["IsFunction"]]},{"rank" : 34,"comment" : "AffineAction: generators","location" : {"line" : 755,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"],["IsFunction"]]}],"5args" : [{"rank" : 69,"comment" : "AffineAction: group2","location" : {"line" : 778,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"],["IsFunction"]]}],"6args" : []},"aka" : ["AffineAction"]},{"name" : "LinearAction","type" : "GAP_Operation","filters" : [[["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 66,"comment" : "LinearAction","location" : {"line" : 1199,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]},{"rank" : 52,"comment" : "LinearAction","location" : {"line" : 1210,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsPcgs"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]},{"rank" : 33,"comment" : "LinearAction","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]}],"4args" : [{"rank" : 68,"comment" : "LinearAction","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsFunction"]]}],"5args" : [],"6args" : []},"aka" : ["LinearAction","LinearOperation"]},{"name" : "OmegaSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "OmegaSeries: system getter","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep","Tester(OmegaSeries)"]]},{"rank" : 52,"comment" : "OmegaSeries: for p-groups","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcatr.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"]]},{"rank" : 0,"comment" : "OmegaSeries: default method requiring categories and checking properties","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OmegaSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OmegaSeries): system setter","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OmegaSeries): default method, does nothing","location" : {"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOmegaSeries"]},{"name" : "Tester(OmegaSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 558,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOmegaSeries"]},{"name" : "NormalizerInHomePcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "NormalizerInHomePcgs: system getter","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalizerInHomePcgs)"]]},{"rank" : 36,"comment" : "NormalizerInHomePcgs: for group with home pcgs","location" : {"line" : 1023,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]},{"rank" : 0,"comment" : "NormalizerInHomePcgs: default method requiring categories and checking properties","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalizerInHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"],[]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalizerInHomePcgs): system setter","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalizerInHomePcgs): default method, does nothing","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalizerInHomePcgs"]},{"name" : "Tester(NormalizerInHomePcgs)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(HomePcgs)"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcnrm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalizerInHomePcgs"]},{"name" : "MultiplicationTable","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]],[["IsMagma"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "MultiplicationTable: system getter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(MultiplicationTable)"]]},{"rank" : 11,"comment" : "MultiplicationTable: for a magma","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsMagma"]]},{"rank" : 4,"comment" : "MultiplicationTable: for a list of elements","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MultiplicationTable)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],[]],[["IsMagma"],[]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MultiplicationTable): system setter","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MultiplicationTable): default method, does nothing","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMultiplicationTable"]},{"name" : "Tester(MultiplicationTable)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]]],"locations" : [{"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/grptbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMultiplicationTable"]},{"name" : "AllBlocks","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "AllBlocks: system getter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(AllBlocks)"]]},{"rank" : 58,"comment" : "AllBlocks: generic","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "AllBlocks: default method requiring categories and checking properties","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AllBlocks)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AllBlocks): system setter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AllBlocks): default method, does nothing","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAllBlocks"]},{"name" : "Tester(AllBlocks)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAllBlocks"]},{"name" : "TransitiveIdentification","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "TransitiveIdentification: system getter","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransitiveIdentification)"]]},{"rank" : 58,"comment" : "TransitiveIdentification: generic","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/trans\/trans.grp"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "TransitiveIdentification: default method requiring categories and checking properties","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransitiveIdentification)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransitiveIdentification): system setter","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransitiveIdentification): default method, does nothing","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransitiveIdentification"]},{"name" : "Tester(TransitiveIdentification)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTransitiveIdentification"]},{"name" : "PrimitiveIdentification","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "PrimitiveIdentification: system getter","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimitiveIdentification)"]]},{"rank" : 58,"comment" : "PrimitiveIdentification: generic","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "PrimitiveIdentification: default method requiring categories and checking properties","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimitiveIdentification)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimitiveIdentification): system setter","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimitiveIdentification): default method, does nothing","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimitiveIdentification"]},{"name" : "Tester(PrimitiveIdentification)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimitiveIdentification"]},{"name" : "ONanScottType","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "ONanScottType: system getter","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ONanScottType)"]]},{"rank" : 58,"comment" : "ONanScottType: primitive permgroups","location" : {"line" : 2097,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "ONanScottType: default method requiring categories and checking properties","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ONanScottType)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ONanScottType): system setter","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ONanScottType): default method, does nothing","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetONanScottType"]},{"name" : "Tester(ONanScottType)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasONanScottType"]},{"name" : "SocleTypePrimitiveGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "SocleTypePrimitiveGroup: system getter","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(SocleTypePrimitiveGroup)"]]},{"rank" : 58,"comment" : "SocleTypePrimitiveGroup: primitive permgroups","location" : {"line" : 2119,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "SocleTypePrimitiveGroup: default method requiring categories and checking properties","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SocleTypePrimitiveGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SocleTypePrimitiveGroup): system setter","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SocleTypePrimitiveGroup): default method, does nothing","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSocleTypePrimitiveGroup"]},{"name" : "Tester(SocleTypePrimitiveGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSocleTypePrimitiveGroup"]},{"name" : "TwoClosure","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "TwoClosure: system getter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"},"filters" : [["IsAttributeStoringRep","Tester(TwoClosure)"]]},{"rank" : 58,"comment" : "TwoClosure: permutation group","location" : {"line" : 3193,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["TwoClosurePermGroup"]},{"rank" : -16,"comment" : "TwoClosure: default method requiring categories and checking properties","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TwoClosure)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TwoClosure): system setter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TwoClosure): default method, does nothing","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTwoClosure"]},{"name" : "Tester(TwoClosure)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbcbckt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTwoClosure"]},{"name" : "GroupGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 39,"comment" : "GroupGeneralMappingByImages: make onto","location" : {"line" : 437,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]}],"4args" : [{"rank" : 74,"comment" : "GroupGeneralMappingByImages: for group, group, list, list","location" : {"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["GroupGeneralMappingByImages"]},{"name" : "GroupGeneralMappingByImagesNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 374,"comment" : "GroupGeneralMappingByImagesNC: from a group handled by a niceomorphism","location" : {"line" : 926,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsList"],["IsList"]]},{"rank" : 39,"comment" : "GroupGeneralMappingByImagesNC: make onto","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]}],"4args" : [{"rank" : 409,"comment" : "GroupGeneralMappingByImagesNC: from a group handled by a niceomorphism","location" : {"line" : 919,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]},{"rank" : 74,"comment" : "GroupGeneralMappingByImagesNC: for group, group, list, list","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]],"aka" : ["DoGGMBINC"]}],"5args" : [],"6args" : []},"aka" : ["GroupGeneralMappingByImagesNC"]},{"name" : "GroupHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},{"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "GroupHomomorphismByImagesNC: for group, group","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [{"rank" : 72,"comment" : "GroupHomomorphismByImagesNC: for group, group, list","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : 39,"comment" : "GroupHomomorphismByImagesNC: for group, list, list","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]}],"4args" : [{"rank" : 74,"comment" : "GroupHomomorphismByImagesNC: for group, group, list, list","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["GroupHomomorphismByImagesNC"]},{"name" : "AsGroupGeneralMappingByImages","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "AsGroupGeneralMappingByImages: system getter","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsGroupGeneralMappingByImages)"]]},{"rank" : 10017,"comment" : "AsGroupGeneralMappingByImages: for GHBI","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGroupGeneralMappingByImages"]]},{"rank" : 347,"comment" : "AsGroupGeneralMappingByImages: for Niceomorphisms: avoid recursion","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsNiceMonomorphism"]]},{"rank" : 23,"comment" : "AsGroupGeneralMappingByImages: for conjugator isomorphism","location" : {"line" : 1076,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 17,"comment" : "AsGroupGeneralMappingByImages: for group homomorphism","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 13,"comment" : "AsGroupGeneralMappingByImages: for group general mapping","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 0,"comment" : "AsGroupGeneralMappingByImages: default method requiring categories and checking properties","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsGroupGeneralMappingByImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]],"locations" : [{"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "Setter(AsGroupGeneralMappingByImages): assign MappingOfWhichItIsAsGGMBI","location" : {"line" : 551,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsAttributeStoringRep","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 2,"comment" : "Setter(AsGroupGeneralMappingByImages): system setter","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsGroupGeneralMappingByImages): default method, does nothing","location" : {"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsGroupGeneralMappingByImages"]},{"name" : "Tester(AsGroupGeneralMappingByImages)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 251,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsGroupGeneralMappingByImages"]},{"name" : "MappingOfWhichItIsAsGGMBI","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "MappingOfWhichItIsAsGGMBI: system getter","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(MappingOfWhichItIsAsGGMBI)"]]},{"rank" : 0,"comment" : "MappingOfWhichItIsAsGGMBI: default method requiring categories and checking properties","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MappingOfWhichItIsAsGGMBI)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MappingOfWhichItIsAsGGMBI): system setter","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MappingOfWhichItIsAsGGMBI): default method, does nothing","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMappingOfWhichItIsAsGGMBI"]},{"name" : "Tester(MappingOfWhichItIsAsGGMBI)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMappingOfWhichItIsAsGGMBI"]},{"name" : "NaturalHomomorphismByNormalSubgroupNCOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10106,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: for group, and trivial group (delegate to `IdentityMapping')","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsTrivial","Tester(IsTrivial)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 405,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp","location" : {"line" : 895,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: test if known\/try solvable factor for permutation groups","location" : {"line" : 1389,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 92,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp","location" : {"line" : 567,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 77,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: trivial image fp case","location" : {"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"]]},{"rank" : 75,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: for subgroups of fp groups by quotient rep.","location" : {"line" : 987,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 74,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: for subgroups of fp groups","location" : {"line" : 967,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "NaturalHomomorphismByNormalSubgroupNCOp: search for operation","location" : {"line" : 1323,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismByNormalSubgroupNCOp","NaturalHomomorphismByNormalSubgroupOp"]},{"name" : "NaturalHomomorphismByNormalSubgroupNCInParent","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NaturalHomomorphismByNormalSubgroupNCInParent: system getter","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(NaturalHomomorphismByNormalSubgroupNCInParent)"]]},{"rank" : 35,"comment" : "NaturalHomomorphismByNormalSubgroupNCInParent: method that calls the two-argument operation NaturalHomomorphismByNormalSubgroupNCOp","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NaturalHomomorphismByNormalSubgroupNCInParent: default method requiring categories and checking properties","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NaturalHomomorphismByNormalSubgroupNCInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NaturalHomomorphismByNormalSubgroupNCInParent): system setter","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NaturalHomomorphismByNormalSubgroupNCInParent): default method, does nothing","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNaturalHomomorphismByNormalSubgroupNCInParent"]},{"name" : "Tester(NaturalHomomorphismByNormalSubgroupNCInParent)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNaturalHomomorphismByNormalSubgroupNCInParent"]},{"name" : "NaturalHomomorphismByNormalSubgroupNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 68,"comment" : "NaturalHomomorphismByNormalSubgroupNC: try to exploit the in-parent attribute NaturalHomomorphismByNormalSubgroupNCInParent","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalHomomorphismByNormalSubgroupNCOrig"]},{"name" : "ConjugatorIsomorphism","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 376,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "ConjugatorIsomorphism: for group and mult.-elm.-with-inverse","location" : {"line" : 969,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugatorIsomorphism"]},{"name" : "ConjugatorAutomorphismNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "ConjugatorAutomorphismNC: group and mult.-elm.-with-inverse","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugatorAutomorphismNC"]},{"name" : "InnerAutomorphismNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 449,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "InnerAutomorphismNC: for group and mult.-elm.-with-inverse","location" : {"line" : 1033,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMultiplicativeElementWithInverse"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InnerAutomorphismNC"]},{"name" : "IsConjugatorIsomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsConjugatorIsomorphism: system getter","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 14,"comment" : "IsConjugatorIsomorphism: for a f.p. group general mapping","location" : {"line" : 651,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 14,"comment" : "IsConjugatorIsomorphism: for a matrix group general mapping","location" : {"line" : 931,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 14,"comment" : "IsConjugatorIsomorphism: perm group homomorphism","location" : {"line" : 2093,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 14,"comment" : "IsConjugatorIsomorphism: for a pc group general mapping","location" : {"line" : 2359,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 13,"comment" : "IsConjugatorIsomorphism: for a group general mapping","location" : {"line" : 1296,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 0,"comment" : "IsConjugatorIsomorphism: default method requiring categories and checking properties","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsConjugatorIsomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsBool"]]],"locations" : [{"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsConjugatorIsomorphism): system setter","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsConjugatorIsomorphism): default method, does nothing","location" : {"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsConjugatorIsomorphism"]},{"name" : "Tester(IsConjugatorIsomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 500,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsInnerAutomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsInnerAutomorphism: system getter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInnerAutomorphism)"]]},{"rank" : 13,"comment" : "IsInnerAutomorphism: for a group general mapping","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 0,"comment" : "IsInnerAutomorphism: default method requiring categories and checking properties","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInnerAutomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsBool"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInnerAutomorphism): system setter","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInnerAutomorphism): default method, does nothing","location" : {"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInnerAutomorphism"]},{"name" : "Tester(IsInnerAutomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 505,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ConjugatorOfConjugatorIsomorphism","type" : "GAP_Operation","filters" : [[["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "ConjugatorOfConjugatorIsomorphism: system getter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConjugatorOfConjugatorIsomorphism)"]]},{"rank" : 23,"comment" : "ConjugatorOfConjugatorIsomorphism: default -- try RepresentativeAction","location" : {"line" : 945,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]},{"rank" : 0,"comment" : "ConjugatorOfConjugatorIsomorphism: default method requiring categories and checking properties","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConjugatorOfConjugatorIsomorphism)","type" : "GAP_Operation","filters" : [[["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"],[]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConjugatorOfConjugatorIsomorphism): system setter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConjugatorOfConjugatorIsomorphism): default method, does nothing","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConjugatorInnerAutomorphism","SetConjugatorOfConjugatorIsomorphism"]},{"name" : "Tester(ConjugatorOfConjugatorIsomorphism)","type" : "GAP_Operation","filters" : [[["IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConjugatorInnerAutomorphism","HasConjugatorOfConjugatorIsomorphism"]},{"name" : "ImagesSmallestGenerators","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "ImagesSmallestGenerators: system getter","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImagesSmallestGenerators)"]]},{"rank" : 17,"comment" : "ImagesSmallestGenerators: group homomorphisms","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 0,"comment" : "ImagesSmallestGenerators: default method requiring categories and checking properties","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImagesSmallestGenerators)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImagesSmallestGenerators): system setter","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImagesSmallestGenerators): default method, does nothing","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImagesSmallestGenerators"]},{"name" : "Tester(ImagesSmallestGenerators)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImagesSmallestGenerators"]},{"name" : "RegularActionHomomorphism","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "RegularActionHomomorphism: system getter","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep","Tester(RegularActionHomomorphism)"]]},{"rank" : 44,"comment" : "RegularActionHomomorphism: generic","location" : {"line" : 1586,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RegularActionHomomorphism:  fallback method to test conditions","location" : {"line" : 1592,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "RegularActionHomomorphism: default method requiring categories and checking properties","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RegularActionHomomorphism)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RegularActionHomomorphism): system setter","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RegularActionHomomorphism): default method, does nothing","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRegularActionHomomorphism"]},{"name" : "Tester(RegularActionHomomorphism)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRegularActionHomomorphism"]},{"name" : "NaturalIsomorphismByPcgs","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPcgs"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "NaturalIsomorphismByPcgs: for group and pcgs","location" : {"line" : 675,"file" : "\/home\/makx\/ac\/gap\/lib\/ghompcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPcgs"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NaturalIsomorphismByPcgs"]},{"name" : "DirectProductOp","type" : "GAP_Operation","filters" : [[["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 77,"comment" : "DirectProductOp: for a list of permutation groups, and a permutation group","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["IsList","CategoryCollections(CategoryCollections(IsPerm))"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 48,"comment" : "DirectProductOp: for a list (of pc groups), and a pc group","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 47,"comment" : "DirectProductOp: matrix groups","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["IsList"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "DirectProductOp: for a list of fp groups, and a fp group","location" : {"line" : 5438,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsList"],["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 37,"comment" : "DirectProductOp: for a list (of groups), and a group","location" : {"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DirectProductOp"]},{"name" : "SubdirectProductOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 150,"comment" : "SubdirectProductOp: permgroup","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 126,"comment" : "SubdirectProductOp: pcgroup","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 104,"comment" : "SubdirectProductOp: groups","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]}],"5args" : [],"6args" : []},"aka" : ["SubdirectProductOp"]},{"name" : "SemidirectProduct","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],[]]],"locations" : [{"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "SemidirectProduct: generic method for pc groups","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 47,"comment" : "SemidirectProduct: generic method for pc groups","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsRecord"]]},{"rank" : 35,"comment" : "SemidirectProduct: automorphisms group with group","location" : {"line" : 1072,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 133,"comment" : "SemidirectProduct: Induced permutation automorphisms","location" : {"line" : 1000,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 133,"comment" : "SemidirectProduct: generic method for permutation groups","location" : {"line" : 967,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 103,"comment" : "SemidirectProduct: group with vector space: affine","location" : {"line" : 1315,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFullRowModule","Tester(IsFullRowModule)"]]},{"rank" : 97,"comment" : "SemidirectProduct: generic method for pc groups","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdpc.gi"},"filters" : [["CanEasilyComputePcgs"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["CanEasilyComputePcgs"]]},{"rank" : 89,"comment" : "SemidirectProduct: group with fp","location" : {"line" : 1170,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsSubgroupFpGroup"]],"aka" : ["SemidirectFp"]},{"rank" : 89,"comment" : "SemidirectProduct: fp with group","location" : {"line" : 1170,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsSubgroupFpGroup"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 85,"comment" : "SemidirectProduct: different representations","location" : {"line" : 1112,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemidirectProduct"]},{"name" : "WreathProduct","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 332,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 116,"comment" : "WreathProduct: permgroups: imprimitive","location" : {"line" : 680,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["WreathProductImprimitiveAction"]},{"rank" : 103,"comment" : "WreathProduct: imprimitive matrix group","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["MatWreathProduct"]},{"rank" : 90,"comment" : "WreathProduct: generic groups with perm","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "WreathProduct: generic groups, no perm","location" : {"line" : 782,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [{"rank" : 124,"comment" : "WreathProduct: permgroups and action","location" : {"line" : 680,"file" : "\/home\/makx\/ac\/gap\/lib\/gprdperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsSPGeneralMapping"]]},{"rank" : 78,"comment" : "WreathProduct: generic groups with permhom","location" : {"line" : 876,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsSPGeneralMapping"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WreathProduct"]},{"name" : "StandardWreathProduct","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "StandardWreathProduct: generic groups","location" : {"line" : 796,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StandardWreathProduct"]},{"name" : "FreeProductOp","type" : "GAP_Operation","filters" : [[["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "FreeProductOp: for a list (of groups), and a group","location" : {"line" : 1526,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gi"},"filters" : [["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FreeProductOp"]},{"name" : "DirectProductInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DirectProductInfo: system getter","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep","Tester(DirectProductInfo)"]]},{"rank" : 0,"comment" : "DirectProductInfo: default method requiring categories and checking properties","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DirectProductInfo): system mutable setter","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DirectProductInfo): default method, does nothing","location" : {"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDirectProductInfo"]},{"name" : "Tester(DirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 468,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDirectProductInfo"]},{"name" : "SubdirectProductInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SubdirectProductInfo: system getter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep","Tester(SubdirectProductInfo)"]]},{"rank" : 0,"comment" : "SubdirectProductInfo: default method requiring categories and checking properties","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SubdirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SubdirectProductInfo): system mutable setter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SubdirectProductInfo): default method, does nothing","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubdirectProductInfo"]},{"name" : "Tester(SubdirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubdirectProductInfo"]},{"name" : "SemidirectProductInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SemidirectProductInfo: system getter","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemidirectProductInfo)"]]},{"rank" : 0,"comment" : "SemidirectProductInfo: default method requiring categories and checking properties","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemidirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemidirectProductInfo): system mutable setter","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemidirectProductInfo): default method, does nothing","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemidirectProductInfo"]},{"name" : "Tester(SemidirectProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemidirectProductInfo"]},{"name" : "WreathProductInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "WreathProductInfo: system getter","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep","Tester(WreathProductInfo)"]]},{"rank" : 0,"comment" : "WreathProductInfo: default method requiring categories and checking properties","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(WreathProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(WreathProductInfo): system mutable setter","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(WreathProductInfo): default method, does nothing","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetWreathProductInfo"]},{"name" : "Tester(WreathProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasWreathProductInfo"]},{"name" : "FreeProductInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "FreeProductInfo: system getter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeProductInfo)"]]},{"rank" : 0,"comment" : "FreeProductInfo: default method requiring categories and checking properties","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeProductInfo): system mutable setter","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeProductInfo): default method, does nothing","location" : {"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeProductInfo"]},{"name" : "Tester(FreeProductInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 520,"file" : "\/home\/makx\/ac\/gap\/lib\/gprd.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeProductInfo"]},{"name" : "IsNaturalSymmetricGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "IsNaturalSymmetricGroup: system getter","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 59,"comment" : "IsNaturalSymmetricGroup: knows size","location" : {"line" : 671,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["Tester(Size)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "IsNaturalSymmetricGroup: comprehensive","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "IsNaturalSymmetricGroup: for non-permutation group","location" : {"line" : 1071,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "IsNaturalSymmetricGroup: default method requiring categories and checking properties","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNaturalSymmetricGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNaturalSymmetricGroup): system setter","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNaturalSymmetricGroup): default method, does nothing","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNaturalSymmetricGroup"]},{"name" : "Tester(IsNaturalSymmetricGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNaturalAlternatingGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "IsNaturalAlternatingGroup: system getter","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 59,"comment" : "IsNaturalAlternatingGroup: knows size","location" : {"line" : 639,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["Tester(Size)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "IsNaturalAlternatingGroup: comprehensive","location" : {"line" : 649,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "IsNaturalAlternatingGroup: for non-permutation group","location" : {"line" : 1026,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "IsNaturalAlternatingGroup: default method requiring categories and checking properties","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNaturalAlternatingGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNaturalAlternatingGroup): system setter","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNaturalAlternatingGroup): default method, does nothing","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNaturalAlternatingGroup"]},{"name" : "Tester(IsNaturalAlternatingGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsAlternatingGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsAlternatingGroup: system getter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAlternatingGroup)"]]},{"rank" : 35,"comment" : "IsAlternatingGroup: generic method","location" : {"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsAlternatingGroup: default method requiring categories and checking properties","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAlternatingGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAlternatingGroup): system setter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAlternatingGroup): default method, does nothing","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAlternatingGroup"]},{"name" : "Tester(IsAlternatingGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSymmetricGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSymmetricGroup: system getter","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSymmetricGroup)"]]},{"rank" : 35,"comment" : "IsSymmetricGroup: generic method","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSymmetricGroup: default method requiring categories and checking properties","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSymmetricGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSymmetricGroup): system setter","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSymmetricGroup): default method, does nothing","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSymmetricGroup"]},{"name" : "Tester(IsSymmetricGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SymmetricParentGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "SymmetricParentGroup: system getter","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(SymmetricParentGroup)"]]},{"rank" : 62,"comment" : "SymmetricParentGroup: natural symmetric group","location" : {"line" : 1817,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 58,"comment" : "SymmetricParentGroup: symm(moved pts)","location" : {"line" : 1811,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "SymmetricParentGroup: default method requiring categories and checking properties","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SymmetricParentGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SymmetricParentGroup): system setter","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SymmetricParentGroup): default method, does nothing","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSymmetricParentGroup"]},{"name" : "Tester(SymmetricParentGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSymmetricParentGroup"]},{"name" : "AlternatingSubgroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "AlternatingSubgroup: system getter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(AlternatingSubgroup)"]]},{"rank" : 58,"comment" : "AlternatingSubgroup: for perm groups","location" : {"line" : 1945,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "AlternatingSubgroup: default method requiring categories and checking properties","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AlternatingSubgroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AlternatingSubgroup): system setter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AlternatingSubgroup): default method, does nothing","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAlternatingSubgroup"]},{"name" : "Tester(AlternatingSubgroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAlternatingSubgroup"]},{"name" : "OrbitStabilizingParentGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "OrbitStabilizingParentGroup: system getter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrbitStabilizingParentGroup)"]]},{"rank" : 58,"comment" : "OrbitStabilizingParentGroup: direct product of S_n's","location" : {"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "OrbitStabilizingParentGroup: default method requiring categories and checking properties","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrbitStabilizingParentGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrbitStabilizingParentGroup): system setter","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrbitStabilizingParentGroup): default method, does nothing","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrbitStabilizingParentGroup"]},{"name" : "Tester(OrbitStabilizingParentGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrbitStabilizingParentGroup"]},{"name" : "IsTrivialNormalIntersection","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 106,"comment" : "IsTrivialNormalIntersection: if minimal normal subgroups are computed","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MinimalNormalSubgroups)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 105,"comment" : "IsTrivialNormalIntersection: generic method","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsTrivialNormalIntersection"]},{"name" : "NormalComplement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "NormalComplement: generic method","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalComplement"]},{"name" : "NormalComplementNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "NormalComplementNC: generic method","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormalComplementNC"]},{"name" : "DirectFactorsOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DirectFactorsOfGroup: system getter","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(DirectFactorsOfGroup)"]]},{"rank" : 37,"comment" : "DirectFactorsOfGroup: for direct products if normal subgroups are computed","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(NormalSubgroups)","Tester(DirectProductInfo)"]]},{"rank" : 36,"comment" : "DirectFactorsOfGroup: if normal subgroups are computed","location" : {"line" : 332,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(NormalSubgroups)"]]},{"rank" : 36,"comment" : "DirectFactorsOfGroup: for direct products","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(DirectProductInfo)"]]},{"rank" : 35,"comment" : "DirectFactorsOfGroup: generic method","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DirectFactorsOfGroup: default method requiring categories and checking properties","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DirectFactorsOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DirectFactorsOfGroup): system setter","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DirectFactorsOfGroup): default method, does nothing","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDirectFactorsOfGroup"]},{"name" : "Tester(DirectFactorsOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDirectFactorsOfGroup"]},{"name" : "SemidirectFactorsOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SemidirectFactorsOfGroup: system getter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(SemidirectFactorsOfGroup)"]]},{"rank" : 35,"comment" : "SemidirectFactorsOfGroup: generic method","location" : {"line" : 723,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SemidirectFactorsOfGroup: default method requiring categories and checking properties","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SemidirectFactorsOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SemidirectFactorsOfGroup): system setter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SemidirectFactorsOfGroup): default method, does nothing","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSemidirectFactorsOfGroup"]},{"name" : "Tester(SemidirectFactorsOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSemidirectFactorsOfGroup"]},{"name" : "DecompositionTypesOfGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DecompositionTypesOfGroup: system getter","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(DecompositionTypesOfGroup)"]]},{"rank" : 35,"comment" : "DecompositionTypesOfGroup: generic method","location" : {"line" : 802,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DecompositionTypesOfGroup: default method requiring categories and checking properties","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DecompositionTypesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DecompositionTypesOfGroup): system setter","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DecompositionTypesOfGroup): default method, does nothing","location" : {"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDecompositionTypesOfGroup"]},{"name" : "Tester(DecompositionTypesOfGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 346,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDecompositionTypesOfGroup"]},{"name" : "IsDihedralGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsDihedralGroup: system getter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsDihedralGroup)"]]},{"rank" : 35,"comment" : "IsDihedralGroup: generic method","location" : {"line" : 850,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsDihedralGroup: default method requiring categories and checking properties","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsDihedralGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsDihedralGroup): system setter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsDihedralGroup): default method, does nothing","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsDihedralGroup"]},{"name" : "Tester(IsDihedralGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DihedralGenerators","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DihedralGenerators: system getter","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(DihedralGenerators)"]]},{"rank" : 0,"comment" : "DihedralGenerators: default method requiring categories and checking properties","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DihedralGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DihedralGenerators): system setter","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DihedralGenerators): default method, does nothing","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDihedralGenerators"]},{"name" : "Tester(DihedralGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDihedralGenerators"]},{"name" : "IsQuaternionGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsQuaternionGroup: system getter","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsQuaternionGroup)"]]},{"rank" : 35,"comment" : "IsQuaternionGroup: generic method","location" : {"line" : 902,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsQuaternionGroup: default method requiring categories and checking properties","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsQuaternionGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsQuaternionGroup): system setter","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsQuaternionGroup): default method, does nothing","location" : {"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsQuaternionGroup"]},{"name" : "Tester(IsQuaternionGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 387,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "QuaternionGenerators","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "QuaternionGenerators: system getter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(QuaternionGenerators)"]]},{"rank" : 0,"comment" : "QuaternionGenerators: default method requiring categories and checking properties","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(QuaternionGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(QuaternionGenerators): system setter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(QuaternionGenerators): default method, does nothing","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetQuaternionGenerators"]},{"name" : "Tester(QuaternionGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasQuaternionGenerators"]},{"name" : "IsQuasiDihedralGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsQuasiDihedralGroup: system getter","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsQuasiDihedralGroup)"]]},{"rank" : 35,"comment" : "IsQuasiDihedralGroup: generic method","location" : {"line" : 964,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsQuasiDihedralGroup: default method requiring categories and checking properties","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsQuasiDihedralGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsQuasiDihedralGroup): system setter","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsQuasiDihedralGroup): default method, does nothing","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsQuasiDihedralGroup"]},{"name" : "Tester(IsQuasiDihedralGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "QuasiDihedralGenerators","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "QuasiDihedralGenerators: system getter","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(QuasiDihedralGenerators)"]]},{"rank" : 0,"comment" : "QuasiDihedralGenerators: default method requiring categories and checking properties","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(QuasiDihedralGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(QuasiDihedralGenerators): system setter","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(QuasiDihedralGenerators): default method, does nothing","location" : {"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetQuasiDihedralGenerators"]},{"name" : "Tester(QuasiDihedralGenerators)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 409,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasQuasiDihedralGenerators"]},{"name" : "IsPSL","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsPSL: system getter","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPSL)"]]},{"rank" : 35,"comment" : "IsPSL: generic method for finite groups","location" : {"line" : 1254,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsPSL: default method requiring categories and checking properties","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPSL): system setter","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPSL): default method, does nothing","location" : {"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPSL"]},{"name" : "Tester(IsPSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 426,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ParametersOfGroupViewedAsPSL","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ParametersOfGroupViewedAsPSL: system getter","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(ParametersOfGroupViewedAsPSL)"]]},{"rank" : 0,"comment" : "ParametersOfGroupViewedAsPSL: default method requiring categories and checking properties","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ParametersOfGroupViewedAsPSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ParametersOfGroupViewedAsPSL): system setter","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ParametersOfGroupViewedAsPSL): default method, does nothing","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetParametersOfGroupViewedAsPSL"]},{"name" : "Tester(ParametersOfGroupViewedAsPSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasParametersOfGroupViewedAsPSL"]},{"name" : "ParametersOfGroupViewedAsSL","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ParametersOfGroupViewedAsSL: system getter","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(ParametersOfGroupViewedAsSL)"]]},{"rank" : 0,"comment" : "ParametersOfGroupViewedAsSL: default method requiring categories and checking properties","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ParametersOfGroupViewedAsSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ParametersOfGroupViewedAsSL): system setter","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ParametersOfGroupViewedAsSL): default method, does nothing","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetParametersOfGroupViewedAsSL"]},{"name" : "Tester(ParametersOfGroupViewedAsSL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasParametersOfGroupViewedAsSL"]},{"name" : "ParametersOfGroupViewedAsGL","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ParametersOfGroupViewedAsGL: system getter","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(ParametersOfGroupViewedAsGL)"]]},{"rank" : 0,"comment" : "ParametersOfGroupViewedAsGL: default method requiring categories and checking properties","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ParametersOfGroupViewedAsGL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ParametersOfGroupViewedAsGL): system setter","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ParametersOfGroupViewedAsGL): default method, does nothing","location" : {"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetParametersOfGroupViewedAsGL"]},{"name" : "Tester(ParametersOfGroupViewedAsGL)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 448,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasParametersOfGroupViewedAsGL"]},{"name" : "AlternatingDegree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AlternatingDegree: system getter","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(AlternatingDegree)"]]},{"rank" : 35,"comment" : "AlternatingDegree: generic method, dispatch to `IsAlternatingGroup'","location" : {"line" : 1014,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "AlternatingDegree: default method requiring categories and checking properties","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AlternatingDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AlternatingDegree): system setter","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AlternatingDegree): default method, does nothing","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAlternatingDegree"]},{"name" : "Tester(AlternatingDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAlternatingDegree"]},{"name" : "SymmetricDegree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SymmetricDegree: system getter","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(SymmetricDegree)"]]},{"rank" : 35,"comment" : "SymmetricDegree: generic method, dispatch to `IsSymmetricGroup'","location" : {"line" : 1086,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SymmetricDegree: default method requiring categories and checking properties","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SymmetricDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SymmetricDegree): system setter","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SymmetricDegree): default method, does nothing","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSymmetricDegree"]},{"name" : "Tester(SymmetricDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSymmetricDegree"]},{"name" : "PSLDegree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PSLDegree: system getter","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(PSLDegree)"]]},{"rank" : 35,"comment" : "PSLDegree: generic method for finite groups","location" : {"line" : 1267,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PSLDegree: default method requiring categories and checking properties","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PSLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PSLDegree): system setter","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PSLDegree): default method, does nothing","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPSLDegree"]},{"name" : "Tester(PSLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPSLDegree"]},{"name" : "PSLUnderlyingField","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PSLUnderlyingField: system getter","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(PSLUnderlyingField)"]]},{"rank" : 35,"comment" : "PSLUnderlyingField: generic method for finite groups","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PSLUnderlyingField: default method requiring categories and checking properties","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PSLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PSLUnderlyingField): system setter","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PSLUnderlyingField): default method, does nothing","location" : {"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPSLUnderlyingField"]},{"name" : "Tester(PSLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 477,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPSLUnderlyingField"]},{"name" : "SLDegree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SLDegree: system getter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(SLDegree)"]]},{"rank" : 35,"comment" : "SLDegree: generic method for finite groups","location" : {"line" : 1350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SLDegree: default method requiring categories and checking properties","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SLDegree): system setter","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SLDegree): default method, does nothing","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSLDegree"]},{"name" : "Tester(SLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 478,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSLDegree"]},{"name" : "SLUnderlyingField","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SLUnderlyingField: system getter","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(SLUnderlyingField)"]]},{"rank" : 35,"comment" : "SLUnderlyingField: generic method for finite groups","location" : {"line" : 1365,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SLUnderlyingField: default method requiring categories and checking properties","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SLUnderlyingField): system setter","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SLUnderlyingField): default method, does nothing","location" : {"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSLUnderlyingField"]},{"name" : "Tester(SLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 479,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSLUnderlyingField"]},{"name" : "GLDegree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "GLDegree: system getter","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(GLDegree)"]]},{"rank" : 35,"comment" : "GLDegree: generic method for finite groups","location" : {"line" : 1440,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GLDegree: default method requiring categories and checking properties","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GLDegree): system setter","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GLDegree): default method, does nothing","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGLDegree"]},{"name" : "Tester(GLDegree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGLDegree"]},{"name" : "GLUnderlyingField","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "GLUnderlyingField: system getter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(GLUnderlyingField)"]]},{"rank" : 35,"comment" : "GLUnderlyingField: generic method for finite groups","location" : {"line" : 1455,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GLUnderlyingField: default method requiring categories and checking properties","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GLUnderlyingField): system setter","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GLUnderlyingField): default method, does nothing","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGLUnderlyingField"]},{"name" : "Tester(GLUnderlyingField)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGLUnderlyingField"]},{"name" : "StructureDescription","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "StructureDescription: system getter","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep","Tester(StructureDescription)"]]},{"rank" : 369,"comment" : "StructureDescription: for groups handled by nice monomorphism","location" : {"line" : 1742,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "StructureDescription: for finite groups","location" : {"line" : 1731,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "StructureDescription: default method requiring categories and checking properties","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StructureDescription)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StructureDescription): system setter","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StructureDescription): default method, does nothing","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStructureDescription"]},{"name" : "Tester(StructureDescription)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStructureDescription"]},{"name" : "IsPQuotientSystem","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsPQuotientSystem: system getter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPQuotientSystem)","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsBool"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPQuotientSystem): system setter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPQuotientSystem): default method, does nothing","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPQuotientSystem"]},{"name" : "Tester(IsPQuotientSystem)","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNilpQuotientSystem","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsNilpQuotientSystem: system getter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNilpQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNilpQuotientSystem)","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsBool"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNilpQuotientSystem): system setter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNilpQuotientSystem): default method, does nothing","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNilpQuotientSystem"]},{"name" : "Tester(IsNilpQuotientSystem)","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "QuotientSystem","type" : "GAP_Operation","filters" : [[[],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsString"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 78,"comment" : "QuotientSystem: pquotient","location" : {"line" : 1193,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"],["IsString"]]}],"5args" : [],"6args" : []},"aka" : ["QuotientSystem"]},{"name" : "GetDefinitionNC","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "GetDefinitionNC","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetDefinitionNC"]},{"name" : "SetDefinitionNC","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsInt","IsPosRat"],[]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 22,"comment" : "SetDefinitionNC","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsInt","IsPosRat"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefinitionNC"]},{"name" : "ClearDefinitionNC","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "ClearDefinitionNC","location" : {"line" : 305,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClearDefinitionNC"]},{"name" : "DefineNewGenerators","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "DefineNewGenerators: p-quotient system","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DefineNewGenerators"]},{"name" : "SplitWordTail","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "SplitWordTail: p-quotient system, word","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SplitWordTail"]},{"name" : "ExtRepByTailVector","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10,"comment" : "ExtRepByTailVector: p-quotient system, vector","location" : {"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtRepByTailVector"]},{"name" : "GeneratorNumberOfQuotient","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "GeneratorNumberOfQuotient: p-quotient system","location" : {"line" : 1205,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneratorNumberOfQuotient"]},{"name" : "TailsInverses","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "TailsInverses: p-quotient system","location" : {"line" : 691,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TailsInverses"]},{"name" : "ComputeTails","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "ComputeTails: p-quotient system","location" : {"line" : 787,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComputeTails"]},{"name" : "EvaluateConsistency","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "EvaluateConsistency: p-quotient system","location" : {"line" : 952,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EvaluateConsistency"]},{"name" : "IncorporateCentralRelations","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "IncorporateCentralRelations: p-quotient system","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IncorporateCentralRelations"]},{"name" : "RenumberHighestWeightGenerators","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "RenumberHighestWeightGenerators: p-quotient system","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RenumberHighestWeightGenerators"]},{"name" : "EvaluateRelators","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "EvaluateRelators: p-quotient system","location" : {"line" : 1101,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EvaluateRelators"]},{"name" : "LiftEpimorphism","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "LiftEpimorphism: p-quotient system","location" : {"line" : 1119,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LiftEpimorphism"]},{"name" : "GeneratorsOfLayer","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "GeneratorsOfLayer: p-quotient system","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneratorsOfLayer"]},{"name" : "LengthOfDescendingSeries","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "LengthOfDescendingSeries: p-quotient system","location" : {"line" : 1234,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LengthOfDescendingSeries"]},{"name" : "RanksOfDescendingSeries","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "RanksOfDescendingSeries: p-quotient system","location" : {"line" : 1247,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RanksOfDescendingSeries"]},{"name" : "CheckConsistencyOfDefinitions","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 185,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "CheckConsistencyOfDefinitions: p-quotient system","location" : {"line" : 1310,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CheckConsistencyOfDefinitions"]},{"name" : "GroupByQuotientSystem","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "GroupByQuotientSystem: p-group from a p-quotient system","location" : {"line" : 1633,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupByQuotientSystem"]},{"name" : "TraceDefinition","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/quotsys.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "TraceDefinition: p-quotient system","location" : {"line" : 1928,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TraceDefinition"]},{"name" : "EpimorphismPGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 109,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gd"},{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "EpimorphismPGroup: finite groups","location" : {"line" : 1585,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 59,"comment" : "EpimorphismPGroup: for finitely presented groups","location" : {"line" : 1527,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : 56,"comment" : "EpimorphismPGroup: for subgroups of finitely presented groups","location" : {"line" : 1550,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 82,"comment" : "EpimorphismPGroup: finite group, class bound","location" : {"line" : 1597,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 78,"comment" : "EpimorphismPGroup: for finitely presented groups, class bound","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : 75,"comment" : "EpimorphismPGroup: for subgroups of finitely presented groups, class bound","location" : {"line" : 1579,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EpimorphismPGroup"]},{"name" : "EpimorphismQuotientSystem","type" : "GAP_Operation","filters" : [[["IsQuotientSystem"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "EpimorphismQuotientSystem: for p-quotient systems","location" : {"line" : 1805,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EpimorphismQuotientSystem"]},{"name" : "EpimorphismNilpotentQuotientOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "EpimorphismNilpotentQuotientOp: full fp group","location" : {"line" : 1898,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],[]]},{"rank" : 37,"comment" : "EpimorphismNilpotentQuotientOp: subgroup fp group","location" : {"line" : 1830,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsSubgroupFpGroup"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EpimorphismNilpotentQuotientOp"]},{"name" : "Nucleus","type" : "GAP_Operation","filters" : [[["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "Nucleus: for a p-quotient system and a group","location" : {"line" : 1710,"file" : "\/home\/makx\/ac\/gap\/lib\/pquot.gi"},"filters" : [["IsPQuotientSystem","Tester(IsPQuotientSystem)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Nucleus"]},{"name" : "ActingDomain","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ActingDomain: system getter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ActingDomain)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ActingDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ActingDomain): system setter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ActingDomain): default method, does nothing","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetActingDomain"]},{"name" : "Tester(ActingDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasActingDomain"]},{"name" : "HomeEnumerator","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "HomeEnumerator: system getter","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(HomeEnumerator)"]]},{"rank" : 11,"comment" : "HomeEnumerator","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "HomeEnumerator","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(HomeEnumerator)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(HomeEnumerator): system setter","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(HomeEnumerator): default method, does nothing","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetHomeEnumerator"]},{"name" : "Tester(HomeEnumerator)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasHomeEnumerator"]},{"name" : "ActionKernelExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ActionKernelExternalSet: system getter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ActionKernelExternalSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ActionKernelExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ActionKernelExternalSet): system setter","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ActionKernelExternalSet): default method, does nothing","location" : {"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetActionKernelExternalSet"]},{"name" : "Tester(ActionKernelExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasActionKernelExternalSet"]},{"name" : "LinearActionBasis","type" : "GAP_Operation","filters" : [[["IsLinearActionHomomorphism"]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "LinearActionBasis: system getter","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(LinearActionBasis)"]]},{"rank" : 23,"comment" : "LinearActionBasis: projective with extra vector","location" : {"line" : 3328,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsProjectiveActionHomomorphism"]]},{"rank" : 23,"comment" : "LinearActionBasis: find basis in domain","location" : {"line" : 3234,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsLinearActionHomomorphism"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LinearActionBasis)","type" : "GAP_Operation","filters" : [[["IsLinearActionHomomorphism"],[]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LinearActionBasis): system setter","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LinearActionBasis): default method, does nothing","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLinearActionBasis"]},{"name" : "Tester(LinearActionBasis)","type" : "GAP_Operation","filters" : [[["IsLinearActionHomomorphism"]]],"locations" : [{"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLinearActionBasis"]},{"name" : "FunctionAction","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "FunctionAction: system getter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(FunctionAction)"]]},{"rank" : 9,"comment" : "FunctionAction: ExternalSetByActorsRep","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSetByActorsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FunctionAction)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FunctionAction): system setter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FunctionAction): default method, does nothing","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFunctionAction"]},{"name" : "Tester(FunctionAction)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFunctionAction"]},{"name" : "StabilizerOfExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "StabilizerOfExternalSet: system getter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(StabilizerOfExternalSet)"]]},{"rank" : 21,"comment" : "StabilizerOfExternalSet","location" : {"line" : 179,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"]]},{"rank" : 21,"comment" : "StabilizerOfExternalSet","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "StabilizerOfExternalSet","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsExternalOrbit","IsExternalSetByPcgs"]]},{"rank" : 6,"comment" : "StabilizerOfExternalSet: stabilizer of the represenattive","location" : {"line" : 2959,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StabilizerOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StabilizerOfExternalSet): system setter","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StabilizerOfExternalSet): default method, does nothing","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStabilizerOfExternalSet"]},{"name" : "Tester(StabilizerOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStabilizerOfExternalSet"]},{"name" : "CanonicalRepresentativeOfExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "CanonicalRepresentativeOfExternalSet: system getter","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalRepresentativeOfExternalSet)"]]},{"rank" : 11,"comment" : "CanonicalRepresentativeOfExternalSet: via `ActorOfExternalSet'","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsExternalOrbit","IsExternalSetByPcgs"]]},{"rank" : 8,"comment" : "CanonicalRepresentativeOfExternalSet: by CanonicalRepresentativeDeterminator","location" : {"line" : 2943,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet","Tester(CanonicalRepresentativeDeterminatorOfExternalSet)"]]},{"rank" : 6,"comment" : "CanonicalRepresentativeOfExternalSet: smallest element","location" : {"line" : 2924,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalRepresentativeOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalRepresentativeOfExternalSet): system setter","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalRepresentativeOfExternalSet): default method, does nothing","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalRepresentativeOfExternalSet"]},{"name" : "Tester(CanonicalRepresentativeOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalRepresentativeOfExternalSet"]},{"name" : "CanonicalRepresentativeDeterminatorOfExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "CanonicalRepresentativeDeterminatorOfExternalSet: system getter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalRepresentativeDeterminatorOfExternalSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalRepresentativeDeterminatorOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalRepresentativeDeterminatorOfExternalSet): system setter","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalRepresentativeDeterminatorOfExternalSet): default method, does nothing","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalRepresentativeDeterminatorOfExternalSet"]},{"name" : "Tester(CanonicalRepresentativeDeterminatorOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalRepresentativeDeterminatorOfExternalSet"]},{"name" : "CanEasilyDetermineCanonicalRepresentativeExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "CanEasilyDetermineCanonicalRepresentativeExternalSet: system getter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet): system setter","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet): default method, does nothing","location" : {"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanEasilyDetermineCanonicalRepresentativeExternalSet"]},{"name" : "Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 378,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanEasilyDetermineCanonicalRepresentativeExternalSet"]},{"name" : "ActorOfExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ActorOfExternalSet: system getter","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ActorOfExternalSet)"]]},{"rank" : 11,"comment" : "ActorOfExternalSet","location" : {"line" : 976,"file" : "\/home\/makx\/ac\/gap\/lib\/claspcgs.gi"},"filters" : [["IsConjugacyClassGroupRep"]]},{"rank" : 11,"comment" : "ActorOfExternalSet","location" : {"line" : 353,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsExternalOrbit","IsExternalSetByPcgs"]]},{"rank" : 6,"comment" : "ActorOfExternalSet","location" : {"line" : 2951,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ActorOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ActorOfExternalSet): system setter","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ActorOfExternalSet): default method, does nothing","location" : {"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetActorOfExternalSet","SetOperatorOfExternalSet"]},{"name" : "Tester(ActorOfExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasActorOfExternalSet","HasOperatorOfExternalSet"]},{"name" : "PreOrbishProcessing","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 34,"comment" : "PreOrbishProcessing","location" : {"line" : 751,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreOrbishProcessing"]},{"name" : "ActionHomomorphismAttr","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ActionHomomorphismAttr: system getter","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ActionHomomorphismAttr)"]]},{"rank" : 6,"comment" : "ActionHomomorphismAttr: call OpHomConstructor","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ActionHomomorphismAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ActionHomomorphismAttr): system setter","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ActionHomomorphismAttr): default method, does nothing","location" : {"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetActionHomomorphismAttr"]},{"name" : "Tester(ActionHomomorphismAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 948,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasActionHomomorphismAttr"]},{"name" : "SurjectiveActionHomomorphismAttr","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "SurjectiveActionHomomorphismAttr: system getter","location" : {"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(SurjectiveActionHomomorphismAttr)"]]},{"rank" : 6,"comment" : "SurjectiveActionHomomorphismAttr: call Ac.Hom.Constructor","location" : {"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SurjectiveActionHomomorphismAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SurjectiveActionHomomorphismAttr): system setter","location" : {"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SurjectiveActionHomomorphismAttr): default method, does nothing","location" : {"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSurjectiveActionHomomorphismAttr"]},{"name" : "Tester(SurjectiveActionHomomorphismAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 971,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSurjectiveActionHomomorphismAttr"]},{"name" : "UnderlyingExternalSet","type" : "GAP_Operation","filters" : [[["IsActionHomomorphism"]]],"locations" : [{"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "UnderlyingExternalSet: system getter","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingExternalSet)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingExternalSet)","type" : "GAP_Operation","filters" : [[["IsActionHomomorphism"],[]]],"locations" : [{"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingExternalSet): system setter","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingExternalSet): default method, does nothing","location" : {"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingExternalSet"]},{"name" : "Tester(UnderlyingExternalSet)","type" : "GAP_Operation","filters" : [[["IsActionHomomorphism"]]],"locations" : [{"line" : 1002,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingExternalSet"]},{"name" : "SparseActionHomomorphismOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 42,"comment" : "SparseActionHomomorphismOp: no domain given","location" : {"line" : 1714,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 44,"comment" : "SparseActionHomomorphismOp: domain given","location" : {"line" : 1596,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["SparseActionHomomorphismOp"]},{"name" : "SortedSparseActionHomomorphismOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1080,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 42,"comment" : "SortedSparseActionHomomorphismOp: no domain given","location" : {"line" : 1725,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []},"aka" : ["SortedSparseActionHomomorphismOp"]},{"name" : "ExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ExternalSet: system getter","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExternalSet)"]]},{"rank" : 43,"comment" : "ExternalSet: for a permutation group","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "ExternalSet: for an external set","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "ExternalSet: for a permutation group and a domain or list of integers","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "ExternalSet: for a group and a domain or list","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "ExternalSet: for permutation group, domain or list of integers, and function","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "ExternalSet: for a group, a domain or list, and a function","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "ExternalSet: for a group, a domain or list, and two lists","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "ExternalSet: for a group, a domain, two lists, and a function","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "ExternalSet: G, D, gens, acts, act","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(ExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExternalSet): system setter","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExternalSet): default method, does nothing","location" : {"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExternalSet"]},{"name" : "Tester(ExternalSet)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1171,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExternalSet"]},{"name" : "RestrictedExternalSet","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1190,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "RestrictedExternalSet: restrict the acting domain","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsExternalSet"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedExternalSet"]},{"name" : "ExternalSubsetOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1211,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 42,"comment" : "ExternalSubsetOp: G, start, gens, acts, act","location" : {"line" : 225,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 48,"comment" : "ExternalSubsetOp: G, xset, start, gens, acts, act","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsExternalSet"],["IsList"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "ExternalSubsetOp: G, D, start, gens, acts, act","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["ExternalSubsetOp"]},{"name" : "ExternalOrbitOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 40,"comment" : "ExternalOrbitOp: G, pnt, gens, acts, act","location" : {"line" : 352,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 46,"comment" : "ExternalOrbitOp: G, xset, pnt, gens, acts, act","location" : {"line" : 341,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsExternalSet"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "ExternalOrbitOp: G, D, pnt, gens, acts, act","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["ExternalOrbitOp"]},{"name" : "OrbitOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1270,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 81,"comment" : "OrbitOp: G, int, gens, perms, act = `OnPoints'","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 61,"comment" : "OrbitOp: action via prime order pcgs","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 60,"comment" : "OrbitOp: G, pnt, [ 1gen ], [ 1act ], act","location" : {"line" : 944,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 40,"comment" : "OrbitOp: standard orbit algorithm:list","location" : {"line" : 991,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 63,"comment" : "OrbitOp: via prime order pcgs, with domain","location" : {"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]],"aka" : ["DoPcgsOrbitOp"]},{"rank" : 61,"comment" : "OrbitOp: G, D, pnt, [ 1gen ], [ 1act ], act","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "OrbitOp: with domain","location" : {"line" : 964,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["OrbitOp"]},{"name" : "Orbits","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "Orbits: system getter","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(Orbits)"]]},{"rank" : 43,"comment" : "Orbits: for a permutation group","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "Orbits: group without domain","location" : {"line" : 1549,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "Orbits: for an external set","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "Orbits: for a permutation group and a domain or list of integers","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "Orbits: for a group and a domain or list","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "Orbits: for permutation group, domain or list of integers, and function","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "Orbits: for a group, a domain or list, and a function","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "Orbits: for a group, a domain or list, and two lists","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 128,"comment" : "Orbits: permgroup on points","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]],"aka" : ["ORBS_PERMGP_PTS"]},{"rank" : 44,"comment" : "Orbits: for a group, a domain, two lists, and a function","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "Orbits: for arbitrary domains","location" : {"line" : 1538,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(Orbits)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Orbits): system setter","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Orbits): default method, does nothing","location" : {"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrbits"]},{"name" : "Tester(Orbits)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1294,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrbits"]},{"name" : "OrbitsDomain","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "OrbitsDomain: system getter","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrbitsDomain)"]]},{"rank" : 43,"comment" : "OrbitsDomain: for a permutation group","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "OrbitsDomain: group without domain","location" : {"line" : 1492,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "OrbitsDomain: for an external set","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "OrbitsDomain: for a permutation group and a domain or list of integers","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "OrbitsDomain: for a group and a domain or list","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "OrbitsDomain: for permutation group, domain or list of integers, and function","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "OrbitsDomain: for a group, a domain or list, and a function","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "OrbitsDomain: for a group, a domain or list, and two lists","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 128,"comment" : "OrbitsDomain: permgroup on points","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]},{"rank" : 57,"comment" : "OrbitsDomain: empty domain","location" : {"line" : 1544,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 57,"comment" : "OrbitsDomain: empty domain","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "OrbitsDomain: for a group, a domain, two lists, and a function","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 43,"comment" : "OrbitsDomain: for quick position domains","location" : {"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsQuickPositionList"],["IsList"],["IsList"],["IsFunction"]],"aka" : ["OrbitsByPosOp"]},{"rank" : 41,"comment" : "OrbitsDomain: for arbitrary domains","location" : {"line" : 1481,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(OrbitsDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrbitsDomain): system setter","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrbitsDomain): default method, does nothing","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrbitsDomain"]},{"name" : "Tester(OrbitsDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrbitsDomain"]},{"name" : "OrbitLengthOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1366,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 40,"comment" : "OrbitLengthOp: compute orbit","location" : {"line" : 2264,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 41,"comment" : "OrbitLengthOp: compute orbit","location" : {"line" : 2255,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["OrbitLengthOp"]},{"name" : "OrbitLengths","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "OrbitLengths: system getter","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrbitLengths)"]]},{"rank" : 43,"comment" : "OrbitLengths: for a permutation group","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "OrbitLengths: for an external set","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "OrbitLengths: for a permutation group and a domain or list of integers","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "OrbitLengths: for a group and a domain or list","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "OrbitLengths: for permutation group, domain or list of integers, and function","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "OrbitLengths: for a group, a domain or list, and a function","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "OrbitLengths: for a group, a domain or list, and two lists","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "OrbitLengths: for a group, a domain, two lists, and a function","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "OrbitLengths: compute orbits","location" : {"line" : 2275,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(OrbitLengths)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrbitLengths): system setter","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrbitLengths): default method, does nothing","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrbitLengths"]},{"name" : "Tester(OrbitLengths)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrbitLengths"]},{"name" : "OrbitLengthsDomain","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "OrbitLengthsDomain: system getter","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrbitLengthsDomain)"]]},{"rank" : 43,"comment" : "OrbitLengthsDomain: for a permutation group","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "OrbitLengthsDomain: for an external set","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "OrbitLengthsDomain: for a permutation group and a domain or list of integers","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "OrbitLengthsDomain: for a group and a domain or list","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "OrbitLengthsDomain: for permutation group, domain or list of integers, and function","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "OrbitLengthsDomain: for a group, a domain or list, and a function","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "OrbitLengthsDomain: for a group, a domain or list, and two lists","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "OrbitLengthsDomain: for a group, a domain, two lists, and a function","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "OrbitLengthsDomain: compute orbits","location" : {"line" : 2285,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(OrbitLengthsDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrbitLengthsDomain): system setter","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrbitLengthsDomain): default method, does nothing","location" : {"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrbitLengthsDomain"]},{"name" : "Tester(OrbitLengthsDomain)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1421,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrbitLengthsDomain"]},{"name" : "OrbitStabilizerOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1441,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 81,"comment" : "OrbitStabilizerOp: permgroup","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 61,"comment" : "OrbitStabilizerOp: G, pnt, pcgs, acts, act","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 40,"comment" : "OrbitStabilizerOp: `OrbitStabilizerAlgorithm' without domain","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 63,"comment" : "OrbitStabilizerOp: G, D, pnt, pcgs, acts, act","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "OrbitStabilizerOp: `OrbitStabilizerAlgorithm' with domain","location" : {"line" : 1054,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["OrbitStabilizerOp"]},{"name" : "ExternalOrbits","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ExternalOrbits: system getter","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExternalOrbits)"]]},{"rank" : 43,"comment" : "ExternalOrbits: for a permutation group","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "ExternalOrbits: for an external set","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "ExternalOrbits: for a permutation group and a domain or list of integers","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "ExternalOrbits: for a group and a domain or list","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "ExternalOrbits: for permutation group, domain or list of integers, and function","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "ExternalOrbits: for a group, a domain or list, and a function","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "ExternalOrbits: for a group, a domain or list, and two lists","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 46,"comment" : "ExternalOrbits: G, xset, gens, acts, act","location" : {"line" : 1777,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsExternalSet"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "ExternalOrbits: for a group, a domain, two lists, and a function","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "ExternalOrbits: G, D, gens, acts, act","location" : {"line" : 1751,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(ExternalOrbits)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExternalOrbits): system setter","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExternalOrbits): default method, does nothing","location" : {"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExternalOrbits"]},{"name" : "Tester(ExternalOrbits)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1467,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExternalOrbits"]},{"name" : "ExternalOrbitsStabilizers","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "ExternalOrbitsStabilizers: system getter","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(ExternalOrbitsStabilizers)"]]},{"rank" : 43,"comment" : "ExternalOrbitsStabilizers: for a permutation group","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "ExternalOrbitsStabilizers: for an external set","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "ExternalOrbitsStabilizers: for a permutation group and a domain or list of integers","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "ExternalOrbitsStabilizers: for a group and a domain or list","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "ExternalOrbitsStabilizers: for permutation group, domain or list of integers, and function","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "ExternalOrbitsStabilizers: for a group, a domain or list, and a function","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "ExternalOrbitsStabilizers: for a group, a domain or list, and two lists","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 46,"comment" : "ExternalOrbitsStabilizers: external set","location" : {"line" : 1831,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsExternalSet"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "ExternalOrbitsStabilizers: for a group, a domain, two lists, and a function","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "ExternalOrbitsStabilizers: arbitrary domain","location" : {"line" : 1823,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(ExternalOrbitsStabilizers)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ExternalOrbitsStabilizers): system setter","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ExternalOrbitsStabilizers): default method, does nothing","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetExternalOrbitsStabilizers"]},{"name" : "Tester(ExternalOrbitsStabilizers)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasExternalOrbitsStabilizers"]},{"name" : "Transitivity","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]],[["IsClassFunction"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1623,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "Transitivity: system getter","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(Transitivity)"]]},{"rank" : 59,"comment" : "Transitivity: for a permutation group with known size","location" : {"line" : 1117,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["Tester(Size)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "Transitivity: for a permutation group","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "Transitivity: for a class function","location" : {"line" : 2158,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 6,"comment" : "Transitivity: for an external set","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "Transitivity: for a permutation group and a domain or list of integers","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "Transitivity: for a group and a domain or list","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]},{"rank" : 26,"comment" : "Transitivity: for an ordinary table, and a homogeneous list","location" : {"line" : 2187,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 45,"comment" : "Transitivity: for permutation group, domain or list of integers, and function","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "Transitivity: for a group, a domain or list, and a function","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "Transitivity: for a group, a domain or list, and two lists","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 92,"comment" : "Transitivity: permgroup on numbers","location" : {"line" : 1045,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 77,"comment" : "Transitivity: G, [  ], gens, perms, act","location" : {"line" : 2502,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "Transitivity: for a group, a domain, two lists, and a function","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "Transitivity: of the image of an ophom","location" : {"line" : 2490,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(Transitivity)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]],[["IsClassFunction"],[]]],"locations" : [{"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Transitivity): system setter","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Transitivity): default method, does nothing","location" : {"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransitivity"]},{"name" : "Tester(Transitivity)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTransitivity"]},{"name" : "BlocksAttr","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "BlocksAttr: system getter","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(BlocksAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BlocksAttr): system setter","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BlocksAttr): default method, does nothing","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBlocksAttr"]},{"name" : "Tester(BlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBlocksAttr"]},{"name" : "BlocksOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1584,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 42,"comment" : "BlocksOp: G, D, gens, acts, act","location" : {"line" : 2166,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 157,"comment" : "BlocksOp: integers, with seed","location" : {"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]},{"rank" : 145,"comment" : "BlocksOp: permgroup on integers","location" : {"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]},{"rank" : 79,"comment" : "BlocksOp: G, [  ], seed, gens, acts, act","location" : {"line" : 2199,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "BlocksOp: via action homomorphism","location" : {"line" : 2188,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["BlocksOp"]},{"name" : "MaximalBlocksAttr","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "MaximalBlocksAttr: system getter","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalBlocksAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalBlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalBlocksAttr): system setter","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalBlocksAttr): default method, does nothing","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalBlocksAttr"]},{"name" : "Tester(MaximalBlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalBlocksAttr"]},{"name" : "MaximalBlocksOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1619,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 42,"comment" : "MaximalBlocksOp: G, D, gens, acts, act","location" : {"line" : 2213,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 44,"comment" : "MaximalBlocksOp: G, D, seed, gens, acts, act","location" : {"line" : 2246,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["MaximalBlocksOp"]},{"name" : "RepresentativesMinimalBlocksAttr","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "RepresentativesMinimalBlocksAttr: system getter","location" : {"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(RepresentativesMinimalBlocksAttr)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RepresentativesMinimalBlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RepresentativesMinimalBlocksAttr): system setter","location" : {"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RepresentativesMinimalBlocksAttr): default method, does nothing","location" : {"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentativesMinimalBlocksAttr"]},{"name" : "Tester(RepresentativesMinimalBlocksAttr)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1652,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentativesMinimalBlocksAttr"]},{"name" : "RepresentativesMinimalBlocksOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1658,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 128,"comment" : "RepresentativesMinimalBlocksOp: permgrp on points","location" : {"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]},{"rank" : 41,"comment" : "RepresentativesMinimalBlocksOp: general case: translate","location" : {"line" : 896,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 131,"comment" : "RepresentativesMinimalBlocksOp: G, domain, noseed, gens, perms, act","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]}]},"aka" : ["RepresentativesMinimalBlocksOp"]},{"name" : "Earns","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "Earns: system getter","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(Earns)"]]},{"rank" : 43,"comment" : "Earns: for a permutation group","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "Earns: for an external set","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "Earns: for a permutation group and a domain or list of integers","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "Earns: for a group and a domain or list","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "Earns: for permutation group, domain or list of integers, and function","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "Earns: for a group, a domain or list, and a function","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "Earns: for a group, a domain or list, and two lists","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 65,"comment" : "Earns: G, ints, gens, perms, act","location" : {"line" : 1021,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "Earns: for a group, a domain, two lists, and a function","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(Earns)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 36,"comment" : "Setter(Earns): never set fail","location" : {"line" : 2526,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]},{"rank" : 2,"comment" : "Setter(Earns): system setter","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Earns): default method, does nothing","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEarns"]},{"name" : "Tester(Earns)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEarns"]},{"name" : "IsTransitive","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]],[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1591,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsTransitive: system getter","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTransitive)"]]},{"rank" : 59,"comment" : "IsTransitive: for a permutation group (use shortcuts)","location" : {"line" : 1083,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "IsTransitive: for a permutation group","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsTransitive: for a class function","location" : {"line" : 2130,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 6,"comment" : "IsTransitive: for an external set","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "IsTransitive: for a permutation group and a domain or list of integers","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "IsTransitive: for a group and a domain or list","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]},{"rank" : 26,"comment" : "IsTransitive: for an ordinary table and a homogeneous list","location" : {"line" : 2137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 45,"comment" : "IsTransitive: for permutation group, domain or list of integers, and function","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "IsTransitive: for a group, a domain or list, and a function","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "IsTransitive: for a group, a domain or list, and two lists","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "IsTransitive: for a group, a domain, two lists, and a function","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "IsTransitive: compare with orbit of element","location" : {"line" : 2475,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(IsTransitive)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsBool"]]],"locations" : [{"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTransitive): system setter","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTransitive): default method, does nothing","location" : {"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTransitive"]},{"name" : "Tester(IsTransitive)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1719,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPrimitive","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsPrimitive: system getter","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimitive)"]]},{"rank" : 43,"comment" : "IsPrimitive: for a permutation group","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsPrimitive: for a character","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 6,"comment" : "IsPrimitive: for an external set","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "IsPrimitive: for a permutation group and a domain or list of integers","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "IsPrimitive: for a group and a domain or list","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "IsPrimitive: for permutation group, domain or list of integers, and function","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "IsPrimitive: for a group, a domain or list, and a function","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "IsPrimitive: for a group, a domain or list, and two lists","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "IsPrimitive: for a group, a domain, two lists, and a function","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "IsPrimitive: transitive and no blocks","location" : {"line" : 2515,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(IsPrimitive)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsBool"]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimitive): system setter","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimitive): default method, does nothing","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPrimitive"]},{"name" : "Tester(IsPrimitive)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPrimitiveAffine","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsPrimitiveAffine: system getter","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimitiveAffine)"]]},{"rank" : 43,"comment" : "IsPrimitiveAffine: for a permutation group","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "IsPrimitiveAffine: for an external set","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "IsPrimitiveAffine: for a permutation group and a domain or list of integers","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "IsPrimitiveAffine: for a group and a domain or list","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "IsPrimitiveAffine: for permutation group, domain or list of integers, and function","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "IsPrimitiveAffine: for a group, a domain or list, and a function","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "IsPrimitiveAffine: for a group, a domain or list, and two lists","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "IsPrimitiveAffine: for a group, a domain, two lists, and a function","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "IsPrimitiveAffine: primitive and earns","location" : {"line" : 2539,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(IsPrimitiveAffine)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsBool"]]],"locations" : [{"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimitiveAffine): system setter","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimitiveAffine): default method, does nothing","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPrimitiveAffine"]},{"name" : "Tester(IsPrimitiveAffine)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSemiRegular","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsSemiRegular: system getter","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSemiRegular)"]]},{"rank" : 43,"comment" : "IsSemiRegular: for a permutation group","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "IsSemiRegular: for an external set","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "IsSemiRegular: for a permutation group and a domain or list of integers","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "IsSemiRegular: for a group and a domain or list","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "IsSemiRegular: for permutation group, domain or list of integers, and function","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "IsSemiRegular: for a group, a domain or list, and a function","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "IsSemiRegular: for a group, a domain or list, and two lists","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 128,"comment" : "IsSemiRegular: permgroup on numbers","location" : {"line" : 1248,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList","CategoryCollections(IsPerm)"],["IsFunction"]]},{"rank" : 77,"comment" : "IsSemiRegular: G, D, gens, [  ], act","location" : {"line" : 2578,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsFunction"]]},{"rank" : 77,"comment" : "IsSemiRegular: G, [  ], gens, perms, act","location" : {"line" : 2566,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "IsSemiRegular: for a group, a domain, two lists, and a function","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "IsSemiRegular: via ophom","location" : {"line" : 2554,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(IsSemiRegular)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsBool"]]],"locations" : [{"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSemiRegular): system setter","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSemiRegular): default method, does nothing","location" : {"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSemiRegular"]},{"name" : "Tester(IsSemiRegular)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1795,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsRegular","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsRegular: system getter","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRegular)"]]},{"rank" : 59,"comment" : "IsRegular: permgroup with known size","location" : {"line" : 1266,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["Tester(Size)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "IsRegular: permgroup","location" : {"line" : 1262,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 43,"comment" : "IsRegular: for a permutation group","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "IsRegular: for an external set","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "IsRegular: for a permutation group and a domain or list of integers","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "IsRegular: for a group and a domain or list","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "IsRegular: for permutation group, domain or list of integers, and function","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "IsRegular: for a group, a domain or list, and a function","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "IsRegular: for a group, a domain or list, and two lists","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 44,"comment" : "IsRegular: for a group, a domain, two lists, and a function","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "IsRegular: transitive and semiregular","location" : {"line" : 2591,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(IsRegular)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],["IsBool"]]],"locations" : [{"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRegular): system setter","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRegular): default method, does nothing","location" : {"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRegular"]},{"name" : "Tester(IsRegular)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1832,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "RankAction","type" : "GAP_Operation","filters" : [[["IsExternalSet"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},{"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "RankAction: system getter","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankAction)"]]},{"rank" : 43,"comment" : "RankAction: for a permutation group","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "RankAction: for an external set","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsExternalSet"]]}],"2args" : [{"rank" : 44,"comment" : "RankAction: for a permutation group and a domain or list of integers","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]},{"rank" : 34,"comment" : "RankAction: for a group and a domain or list","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 45,"comment" : "RankAction: for permutation group, domain or list of integers, and function","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 35,"comment" : "RankAction: for a group, a domain or list, and a function","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsFunction"]]}],"4args" : [{"rank" : 38,"comment" : "RankAction: for a group, a domain or list, and two lists","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"]]}],"5args" : [{"rank" : 77,"comment" : "RankAction: G, [  ], gens, perms, act","location" : {"line" : 2910,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 69,"comment" : "RankAction: G, ints, gens, perms, act","location" : {"line" : 2898,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 44,"comment" : "RankAction: for a group, a domain, two lists, and a function","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection","IsGeneralizedDomain"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "RankAction: via ophom","location" : {"line" : 2882,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsList"],["IsList"],["IsFunction"]]}],"6args" : []}},{"name" : "Setter(RankAction)","type" : "GAP_Operation","filters" : [[["IsExternalSet"],[]]],"locations" : [{"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankAction): system setter","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankAction): default method, does nothing","location" : {"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankAction"]},{"name" : "Tester(RankAction)","type" : "GAP_Operation","filters" : [[["IsExternalSet"]]],"locations" : [{"line" : 1859,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankAction"]},{"name" : "PermutationOp","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1892,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 3,"comment" : "PermutationOp: object on list","location" : {"line" : 1921,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermutationOp"]},{"name" : "PermutationCycleOp","type" : "GAP_Operation","filters" : [[[],["IsList"],[],["IsFunction"]]],"locations" : [{"line" : 1921,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 3,"comment" : "PermutationCycleOp: of object in list","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],[],["IsFunction"]]}],"5args" : [],"6args" : []},"aka" : ["PermutationCycleOp"]},{"name" : "CycleOp","type" : "GAP_Operation","filters" : [[[],["IsList"],[],["IsFunction"]]],"locations" : [{"line" : 1941,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 129,"comment" : "CycleOp: straight line program perms","location" : {"line" : 1948,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsInt"]]},{"rank" : 128,"comment" : "CycleOp: for a permutation with memory and an integer","location" : {"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"],["IsInt"]]},{"rank" : 27,"comment" : "CycleOp: perm, int","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsPerm","IsInternalRep"],["IsInt"]]}],"3args" : [{"rank" : 27,"comment" : "CycleOp: perm, int, act","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsPerm"],["IsInt"],["IsFunction"]]},{"rank" : 1,"comment" : "CycleOp","location" : {"line" : 2082,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],[],["IsFunction"]]}],"4args" : [{"rank" : 3,"comment" : "CycleOp: of object in list","location" : {"line" : 2055,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],[],["IsFunction"]]}],"5args" : [],"6args" : []},"aka" : ["CycleOp"]},{"name" : "CyclesOp","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]]],"locations" : [{"line" : 1961,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 4,"comment" : "CyclesOp","location" : {"line" : 2152,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CyclesOp"]},{"name" : "CycleLengthOp","type" : "GAP_Operation","filters" : [[[],["IsList"],[],["IsFunction"]]],"locations" : [{"line" : 1982,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 129,"comment" : "CycleLengthOp: straight line program perms","location" : {"line" : 1933,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsPerm","IsStraightLineProgElm"],["IsInt"]]},{"rank" : 128,"comment" : "CycleLengthOp: for a permutation with memory and an integer","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsPerm","IsObjWithMemory"],["IsInt"]]},{"rank" : 27,"comment" : "CycleLengthOp: perm, int","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsPerm","IsInternalRep"],["IsInt"]],"aka" : ["CYCLE_LENGTH_PERM_INT"]}],"3args" : [{"rank" : 27,"comment" : "CycleLengthOp: perm, int, act","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["IsPerm"],["IsInt"],["IsFunction"]]},{"rank" : 1,"comment" : "CycleLengthOp","location" : {"line" : 2358,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],[],["IsFunction"]]}],"4args" : [{"rank" : 3,"comment" : "CycleLengthOp","location" : {"line" : 2352,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],[],["IsFunction"]]}],"5args" : [],"6args" : []},"aka" : ["CycleLengthOp"]},{"name" : "CycleLengthsOp","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]]],"locations" : [{"line" : 2013,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 3,"comment" : "CycleLengthsOp","location" : {"line" : 2411,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CycleLengthsOp"]},{"name" : "CycleIndexOp","type" : "GAP_Operation","filters" : [[[],["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2061,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 46,"comment" : "CycleIndexOp: finite group","location" : {"line" : 2463,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],["IsFunction"]]},{"rank" : 7,"comment" : "CycleIndexOp: element","location" : {"line" : 2456,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMultiplicativeElementWithInverse"],["IsListOrCollection"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CycleIndexOp"]},{"name" : "RepresentativeActionOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[],[],["IsFunction"]]],"locations" : [{"line" : 2106,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 444,"comment" : "RepresentativeActionOp: TF Method on elements","location" : {"line" : 2925,"file" : "\/home\/makx\/ac\/gap\/lib\/clashom.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(FittingFreeLiftSetup)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsFunction"]]},{"rank" : 391,"comment" : "RepresentativeActionOp: nice group on elements","location" : {"line" : 879,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsFunction"]]},{"rank" : 130,"comment" : "RepresentativeActionOp: pc group on subgroups","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsFunction"]]},{"rank" : 73,"comment" : "RepresentativeActionOp: for natural symmetric group","location" : {"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],[],[],["IsFunction"]]},{"rank" : 73,"comment" : "RepresentativeActionOp: natural alternating group","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],[],[],["IsFunction"]]},{"rank" : 73,"comment" : "RepresentativeActionOp: cycle structure comparison for solvable perm groups","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/lib\/pcgsperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsPerm"],["IsPerm"],["IsFunction"]]},{"rank" : 69,"comment" : "RepresentativeActionOp: permgrp","location" : {"line" : 1412,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsFunction"]]},{"rank" : 56,"comment" : "RepresentativeActionOp: element conjugacy in pcgs computable groups","location" : {"line" : 1488,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsMultiplicativeElementWithInverse"],["IsMultiplicativeElementWithInverse"],["IsFunction"]]},{"rank" : 36,"comment" : "RepresentativeActionOp: orbit algorithm: trace transversal","location" : {"line" : 2822,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsFunction"]]}],"5args" : [{"rank" : 38,"comment" : "RepresentativeActionOp: ignore domain","location" : {"line" : 2693,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[],[],["IsFunction"]]}],"6args" : []},"aka" : ["RepresentativeActionOp"]},{"name" : "StabilizerFuncOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]],"locations" : [{"line" : 2154,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [{"rank" : 275,"comment" : "StabilizerFuncOp: use normalizer","location" : {"line" : 434,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 109,"comment" : "StabilizerFuncOp: alternating group","location" : {"line" : 1027,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 109,"comment" : "StabilizerFuncOp: symmetric group","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],[],["IsList"],["IsList"],["IsFunction"]],"aka" : ["SYMGP_STABILIZER"]},{"rank" : 105,"comment" : "StabilizerFuncOp: permutation group with generators list","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]],"aka" : ["PermGroupStabilizerOp"]},{"rank" : 66,"comment" : "StabilizerFuncOp: G (solv.), pnt, gens, gens, act","location" : {"line" : 495,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 61,"comment" : "StabilizerFuncOp: G, pnt, pcgs, acts, act, calling `Pcgs_MutableOrbitStabilizerOp'","location" : {"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 45,"comment" : "StabilizerFuncOp: G (solv.), pnt, gens, gens, act","location" : {"line" : 470,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 40,"comment" : "StabilizerFuncOp: `OrbitStabilizerAlgorithm' without domain","location" : {"line" : 2868,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsList"],["IsList"],["IsFunction"]]}],"6args" : [{"rank" : 277,"comment" : "StabilizerFuncOp: with domain, use normalizer","location" : {"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 114,"comment" : "StabilizerFuncOp: alternating group","location" : {"line" : 1037,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsCollection","IsGeneralizedDomain"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 114,"comment" : "StabilizerFuncOp: symmetric group","location" : {"line" : 1005,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsCollection","IsGeneralizedDomain"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 105,"comment" : "StabilizerFuncOp: permutation group with domain","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 66,"comment" : "StabilizerFuncOp: G (solv.), D,pnt, gens, gens, act","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],[],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 63,"comment" : "StabilizerFuncOp: G, D, pnt, pcgs, acts, act, calling `Pcgs_MutableOrbitStabilizerOp'","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],[],["IsPrimeOrdersPcgs","Tester(IsPrimeOrdersPcgs)"],["IsList"],["IsFunction"]]},{"rank" : 46,"comment" : "StabilizerFuncOp: G (solv.), D,pnt, gens, gens, act","location" : {"line" : 485,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]},{"rank" : 41,"comment" : "StabilizerFuncOp: `OrbitStabilizerAlgorithm' with domain","location" : {"line" : 2846,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"],[],["IsList"],["IsList"],["IsFunction"]]}]},"aka" : ["StabiliserFuncOp","StabilizerFuncOp","StabilizerOp"]},{"name" : "OrbitStabilizerAlgorithm","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsList"],["IsList"],["IsRecord"]]],"locations" : [{"line" : 2229,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : [{"rank" : 59,"comment" : "OrbitStabilizerAlgorithm: for pcgs","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtpcgs.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsPcgs"],["IsList"],["IsRecord"]]},{"rank" : 52,"comment" : "OrbitStabilizerAlgorithm: use stabilizer size","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanComputeSizeAnySubgroup"],[],[],["IsList"],["IsList"],["IsRecord"]]},{"rank" : 40,"comment" : "OrbitStabilizerAlgorithm: collect stabilizer generators","location" : {"line" : 1413,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],[],["IsList"],["IsList"],["IsRecord"]]}]},"aka" : ["OrbitStabiliserAlgorithm","OrbitStabilizerAlgorithm"]},{"name" : "AbelianSubfactorAction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 2297,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 105,"comment" : "AbelianSubfactorAction: generic:use modulo pcgs","location" : {"line" : 3376,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AbelianSubfactorAction"]},{"name" : "DomainForAction","type" : "GAP_Operation","filters" : [[[],["IsListOrCollection"],["IsFunction"]]],"locations" : [{"line" : 2617,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 45,"comment" : "DomainForAction: matrix\/matrix","location" : {"line" : 1915,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsFFE))"],["IsList"],["IsFunction"]]},{"rank" : 29,"comment" : "DomainForAction: FFE vector\/matrix","location" : {"line" : 1885,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","CategoryCollections(IsFFE)"],["IsList"],["IsFunction"]]},{"rank" : 5,"comment" : "DomainForAction: vector\/permgrp","location" : {"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/vecmat.gi"},"filters" : [["IsList"],["IsList"],["IsFunction"]]},{"rank" : 2,"comment" : "DomainForAction: default: fail","location" : {"line" : 3338,"file" : "\/home\/makx\/ac\/gap\/lib\/oprt.gi"},"filters" : [[],["IsListOrCollection"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DomainForAction"]},{"name" : "StabChainOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 87,"comment" : "StabChainOp: trivial group","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["IsTrivial","Tester(IsTrivial)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]},{"rank" : 87,"comment" : "StabChainOp: with base","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 75,"comment" : "StabChainOp: empty base","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList","IsEmpty","Tester(IsEmpty)"]]},{"rank" : 63,"comment" : "StabChainOp: alternating group","location" : {"line" : 1904,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"],["IsRecord"]]},{"rank" : 63,"comment" : "StabChainOp: symmetric group","location" : {"line" : 1878,"file" : "\/home\/makx\/ac\/gap\/lib\/gpprmsya.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsRecord"]]},{"rank" : 59,"comment" : "StabChainOp: group and option","location" : {"line" : 183,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StabChainOp"]},{"name" : "StabChainMutable","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "StabChainMutable: system getter","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep","Tester(StabChainMutable)"]]},{"rank" : 35,"comment" : "StabChainMutable: call StabChainOp","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "StabChainMutable: for blocks homomorphism","location" : {"line" : 1559,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsBlocksHomomorphism"]]},{"rank" : 20,"comment" : "StabChainMutable: perm to perm mapping by images","location" : {"line" : 1366,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages","IsToPermGroupGeneralMappingByImages"]],"aka" : ["StabChainPermGroupToPermGroupGeneralMappingByImages"]},{"rank" : 19,"comment" : "StabChainMutable: perm mapping by images","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomperm.gi"},"filters" : [["IsPermGroupGeneralMappingByImages"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StabChainMutable)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StabChainMutable): system mutable setter","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StabChainMutable): default method, does nothing","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStabChainMutable"]},{"name" : "Tester(StabChainMutable)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStabChainMutable"]},{"name" : "StabChainImmutable","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "StabChainImmutable: system getter","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep","Tester(StabChainImmutable)"]]},{"rank" : 0,"comment" : "StabChainImmutable: use StabChainMutable","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StabChainImmutable)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StabChainImmutable): system setter","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StabChainImmutable): default method, does nothing","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStabChainImmutable"]},{"name" : "Tester(StabChainImmutable)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStabChainImmutable"]},{"name" : "StabChainOptions","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "StabChainOptions: system getter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep","Tester(StabChainOptions)"]]},{"rank" : 58,"comment" : "StabChainOptions","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "StabChainOptions: default method requiring categories and checking properties","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StabChainOptions)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StabChainOptions): system mutable setter","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StabChainOptions): default method, does nothing","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStabChainOptions"]},{"name" : "Tester(StabChainOptions)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStabChainOptions"]},{"name" : "BaseOfGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "BaseOfGroup: system getter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaseOfGroup)"]]},{"rank" : 58,"comment" : "BaseOfGroup: for a permutation group","location" : {"line" : 476,"file" : "\/home\/makx\/ac\/gap\/lib\/grpperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "BaseOfGroup: default method requiring categories and checking properties","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaseOfGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaseOfGroup): system setter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaseOfGroup): default method, does nothing","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaseOfGroup"]},{"name" : "Tester(BaseOfGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaseOfGroup"]},{"name" : "MinimalStabChain","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "MinimalStabChain: system getter","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimalStabChain)"]]},{"rank" : 390,"comment" : "MinimalStabChain: matrix group via niceo","location" : {"line" : 604,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 58,"comment" : "MinimalStabChain: Perm","location" : {"line" : 1544,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -16,"comment" : "MinimalStabChain: default method requiring categories and checking properties","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimalStabChain)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimalStabChain): system setter","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimalStabChain): default method, does nothing","location" : {"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimalStabChain"]},{"name" : "Tester(MinimalStabChain)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 486,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimalStabChain"]},{"name" : "MembershipTestKnownBase","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsList"],["IsList"]]],"locations" : [{"line" : 630,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 44,"comment" : "MembershipTestKnownBase","location" : {"line" : 1430,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"]]},{"rank" : 32,"comment" : "MembershipTestKnownBase: stabchain, base, word","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gi"},"filters" : [["IsRecord"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MembershipTestKnownBase"]},{"name" : "PermOnEnumerator","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 741,"file" : "\/home\/makx\/ac\/gap\/lib\/stbc.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermOnEnumerator"]},{"name" : "ConjugacyClass","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 35,"comment" : "ConjugacyClass: class of element","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [{"rank" : 70,"comment" : "ConjugacyClass: class of element and centralizer","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugacyClass"]},{"name" : "RationalClass","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 35,"comment" : "RationalClass","location" : {"line" : 475,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RationalClass"]},{"name" : "DecomposedRationalClass","type" : "GAP_Operation","filters" : [[["IsRationalClassGroupRep"]]],"locations" : [{"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20012,"comment" : "DecomposedRationalClass: system getter","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"filters" : [["IsAttributeStoringRep","Tester(DecomposedRationalClass)"]]},{"rank" : 11,"comment" : "DecomposedRationalClass: generic","location" : {"line" : 560,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gi"},"filters" : [["IsRationalClassGroupRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DecomposedRationalClass)","type" : "GAP_Operation","filters" : [[["IsRationalClassGroupRep"],[]]],"locations" : [{"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DecomposedRationalClass): system setter","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DecomposedRationalClass): default method, does nothing","location" : {"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDecomposedRationalClass"]},{"name" : "Tester(DecomposedRationalClass)","type" : "GAP_Operation","filters" : [[["IsRationalClassGroupRep"]]],"locations" : [{"line" : 152,"file" : "\/home\/makx\/ac\/gap\/lib\/clas.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDecomposedRationalClass"]},{"name" : "StoredPermliftSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "StoredPermliftSeries: system getter","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"},"filters" : [["IsAttributeStoringRep","Tester(StoredPermliftSeries)"]]},{"rank" : 35,"comment" : "StoredPermliftSeries","location" : {"line" : 473,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["PermliftSeries"]},{"rank" : 0,"comment" : "StoredPermliftSeries: default method requiring categories and checking properties","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StoredPermliftSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StoredPermliftSeries): system setter","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StoredPermliftSeries): default method, does nothing","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStoredPermliftSeries"]},{"name" : "Tester(StoredPermliftSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStoredPermliftSeries"]},{"name" : "AscendingChainOp","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 116,"comment" : "AscendingChainOp: PermGroup","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "AscendingChainOp: generic","location" : {"line" : 218,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AscendingChainOp"]},{"name" : "ComputedAscendingChains","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ComputedAscendingChains: system getter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedAscendingChains)"]]},{"rank" : 35,"comment" : "ComputedAscendingChains: init","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComputedAscendingChains: default method requiring categories and checking properties","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedAscendingChains)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedAscendingChains): system mutable setter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedAscendingChains): default method, does nothing","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedAscendingChains"]},{"name" : "Tester(ComputedAscendingChains)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedAscendingChains"]},{"name" : "CanonicalRightCosetElement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 420,"comment" : "CanonicalRightCosetElement: finite matric group","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 66,"comment" : "CanonicalRightCosetElement: Perm","location" : {"line" : 507,"file" : "\/home\/makx\/ac\/gap\/lib\/csetperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsPerm"]]},{"rank" : 46,"comment" : "CanonicalRightCosetElement: Pc","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]},{"rank" : 35,"comment" : "CanonicalRightCosetElement: generic","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CanonicalRightCosetElement"]},{"name" : "LeftActingGroup","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "LeftActingGroup: system getter","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftActingGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftActingGroup)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"],[]]],"locations" : [{"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeftActingGroup): system setter","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftActingGroup): default method, does nothing","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftActingGroup"]},{"name" : "Tester(LeftActingGroup)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftActingGroup"]},{"name" : "RightActingGroup","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "RightActingGroup: system getter","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightActingGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightActingGroup)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"],[]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightActingGroup): system setter","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightActingGroup): default method, does nothing","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightActingGroup"]},{"name" : "Tester(RightActingGroup)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightActingGroup"]},{"name" : "DoubleCoset","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 70,"comment" : "DoubleCoset: generic","location" : {"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [{"rank" : 89,"comment" : "DoubleCoset: with size","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []},"aka" : ["DoubleCoset"]},{"name" : "DoubleCosetsNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 105,"comment" : "DoubleCosetsNC: generic","location" : {"line" : 1066,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoubleCosetsNC"]},{"name" : "DoubleCosetRepsAndSizes","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 138,"comment" : "DoubleCosetRepsAndSizes: Pc","location" : {"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/csetpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 105,"comment" : "DoubleCosetRepsAndSizes: generic","location" : {"line" : 1070,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["CalcDoubleCosets"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoubleCosetRepsAndSizes"]},{"name" : "RepresentativesContainedRightCosets","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "RepresentativesContainedRightCosets: system getter","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RepresentativesContainedRightCosets)"]]},{"rank" : 8,"comment" : "RepresentativesContainedRightCosets: generic","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsDoubleCoset"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RepresentativesContainedRightCosets)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"],[]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RepresentativesContainedRightCosets): system setter","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RepresentativesContainedRightCosets): default method, does nothing","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRepresentativesContainedRightCosets"]},{"name" : "Tester(RepresentativesContainedRightCosets)","type" : "GAP_Operation","filters" : [[["IsDoubleCoset"]]],"locations" : [{"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRepresentativesContainedRightCosets"]},{"name" : "RightCoset","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 361,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "RightCoset: use subgroup size","location" : {"line" : 402,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["Tester(Size)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]},{"rank" : 35,"comment" : "RightCoset: generic","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightCoset"]},{"name" : "RightCosetsNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 405,"comment" : "RightCosetsNC: via niceomorphism","location" : {"line" : 821,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "RightCosetsNC: perm groups, use RightTransversal","location" : {"line" : 1120,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 92,"comment" : "RightCosetsNC: pc groups, use RightTransversal","location" : {"line" : 1126,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 70,"comment" : "RightCosetsNC: generic: orbit","location" : {"line" : 1113,"file" : "\/home\/makx\/ac\/gap\/lib\/csetgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RightCosetsNC"]},{"name" : "DoCheapActionImages","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 52,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 58,"comment" : "DoCheapActionImages: permutation","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "DoCheapActionImages: generic","location" : {"line" : 451,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoCheapActionImages","DoCheapOperationImages"]},{"name" : "FindActionKernel","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 404,"comment" : "FindActionKernel: Niceo","location" : {"line" : 1268,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 116,"comment" : "FindActionKernel: perm","location" : {"line" : 1251,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 79,"comment" : "FindActionKernel: generic for finite groups","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 70,"comment" : "FindActionKernel: general case: can't do","location" : {"line" : 1065,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FindActionKernel","FindOperationKernel"]},{"name" : "NaturalHomomorphismsPool","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NaturalHomomorphismsPool: system getter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(NaturalHomomorphismsPool)"]]},{"rank" : 35,"comment" : "NaturalHomomorphismsPool","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "NaturalHomomorphismsPool: default method requiring categories and checking properties","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NaturalHomomorphismsPool)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NaturalHomomorphismsPool): system mutable setter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NaturalHomomorphismsPool): default method, does nothing","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNaturalHomomorphismsPool"]},{"name" : "Tester(NaturalHomomorphismsPool)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNaturalHomomorphismsPool"]},{"name" : "FactorCosetAction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 404,"comment" : "FactorCosetAction: by right transversal operation, Niceo","location" : {"line" : 435,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 80,"comment" : "FactorCosetAction: for full fp group on subgroup","location" : {"line" : 4139,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 75,"comment" : "FactorCosetAction: subgrp in quotient Rep","location" : {"line" : 4162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 74,"comment" : "FactorCosetAction: for subgroups of an fp group","location" : {"line" : 4145,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "FactorCosetAction: by right transversal operation","location" : {"line" : 420,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [{"rank" : 439,"comment" : "FactorCosetAction: by right transversal operation, given kernel, Niceo","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 105,"comment" : "FactorCosetAction: by right transversal operation, given kernel","location" : {"line" : 427,"file" : "\/home\/makx\/ac\/gap\/lib\/factgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FactorCosetAction"]},{"name" : "AbsolutIrreducibleModules","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 118,"comment" : "AbsolutIrreducibleModules: generic method for groups with pcgs","location" : {"line" : 596,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcrep.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsInt"]]},{"rank" : 111,"comment" : "AbsolutIrreducibleModules: generic method for groups and finite field","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AbsolutIrreducibleModules","AbsoluteIrreducibleModules","AbsolutelyIrreducibleModules"]},{"name" : "IrreducibleModules","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 118,"comment" : "IrreducibleModules: generic method for groups with pcgs","location" : {"line" : 621,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcrep.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputePcgs"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"],["IsInt"]]},{"rank" : 111,"comment" : "IrreducibleModules: generic method for groups and finite field","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IrreducibleModules"]},{"name" : "RegularModule","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 89,"comment" : "RegularModule: generic method for groups","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/grpreps.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RegularModule"]},{"name" : "OCAddToFunctions2","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsListOrCollection"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "OCAddToFunctions2: pc group","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsModuloPcgs"]]},{"rank" : 3,"comment" : "OCAddToFunctions2: generic","location" : {"line" : 474,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCAddToFunctions2"]},{"name" : "OCAddRelations","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsListOrCollection"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "OCAddRelations: pc group","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsModuloPcgs"]]},{"rank" : 3,"comment" : "OCAddRelations: perm group","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCAddRelations"]},{"name" : "OCNormalRelations","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 48,"comment" : "OCNormalRelations: pc group","location" : {"line" : 727,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsListOrCollection"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCNormalRelations"]},{"name" : "OCAddSumMatrices","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsListOrCollection"]]],"locations" : [{"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "OCAddSumMatrices: pc group","location" : {"line" : 773,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsPcgs"]]},{"rank" : 3,"comment" : "OCAddSumMatrices: perm group","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCAddSumMatrices"]},{"name" : "OCAddBigMatrices","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsListOrCollection"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 3,"comment" : "OCAddBigMatrices: general","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCAddBigMatrices"]},{"name" : "OCCoprimeComplement","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsListOrCollection"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCCoprimeComplement"]},{"name" : "OCAddComplement","type" : "GAP_Operation","filters" : [[["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]],"locations" : [{"line" : 423,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 48,"comment" : "OCAddComplement: pc group","location" : {"line" : 1127,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsListOrCollection"]]},{"rank" : 37,"comment" : "OCAddComplement: generic","location" : {"line" : 1134,"file" : "\/home\/makx\/ac\/gap\/lib\/onecohom.gi"},"filters" : [["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsListOrCollection"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OCAddComplement"]},{"name" : "ComplementClassesRepresentativesSolvableNC","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 156,"file" : "\/home\/makx\/ac\/gap\/lib\/grppccom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 80,"comment" : "ComplementClassesRepresentativesSolvableNC: pc groups","location" : {"line" : 913,"file" : "\/home\/makx\/ac\/gap\/lib\/grppccom.gi"},"filters" : [["CanEasilyComputePcgs"],["CanEasilyComputePcgs"]]},{"rank" : 71,"comment" : "ComplementClassesRepresentativesSolvableNC: using cohomology","location" : {"line" : 235,"file" : "\/home\/makx\/ac\/gap\/lib\/grpcompl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["ComplementClassesRepresentativesSolvableWBG"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComplementClassesRepresentativesSolubleNC","ComplementClassesRepresentativesSolvableNC"]},{"name" : "ComplementClassesRepresentatives","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/grppccom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "ComplementClassesRepresentatives: solvable normal subgroup or factor group","location" : {"line" : 1202,"file" : "\/home\/makx\/ac\/gap\/lib\/grppccom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "ComplementClassesRepresentatives: tell that the normal subgroup must be solvable","location" : {"line" : 1217,"file" : "\/home\/makx\/ac\/gap\/lib\/grppccom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComplementClassesRepresentatives"]},{"name" : "TwoCocycles","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]],"locations" : [{"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 46,"comment" : "TwoCocycles: generic method for pc groups","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TwoCocycles"]},{"name" : "TwoCoboundaries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]],"locations" : [{"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 46,"comment" : "TwoCoboundaries: generic method for pc groups","location" : {"line" : 666,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TwoCoboundaries"]},{"name" : "TwoCohomology","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 46,"comment" : "TwoCohomology: generic method for pc groups","location" : {"line" : 695,"file" : "\/home\/makx\/ac\/gap\/lib\/twocohom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TwoCohomology"]},{"name" : "Extension","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 47,"comment" : "Extension: generic method for pc groups","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Extension"]},{"name" : "ExtensionNC","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]],"locations" : [{"line" : 141,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 47,"comment" : "ExtensionNC: generic method for pc groups","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[],["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtensionNC"]},{"name" : "Extensions","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "Extensions: generic method for pc groups","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Extensions"]},{"name" : "ExtensionRepresentatives","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[],[]]],"locations" : [{"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 76,"comment" : "ExtensionRepresentatives: generic method for pc groups","location" : {"line" : 963,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],["IsRecord"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtensionRepresentatives"]},{"name" : "SplitExtension","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "SplitExtension: generic method for pc groups","location" : {"line" : 1183,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[]]}],"3args" : [{"rank" : 80,"comment" : "SplitExtension: generic method for pc groups","location" : {"line" : 1246,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[],["CanEasilyComputePcgs"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SplitExtension"]},{"name" : "TopExtensionsByAutomorphism","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],[],["IsInt"]]],"locations" : [{"line" : 234,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 58,"comment" : "TopExtensionsByAutomorphism: generic method for groups","location" : {"line" : 1321,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],[],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TopExtensionsByAutomorphism"]},{"name" : "CyclicTopExtensions","type" : "GAP_Operation","filters" : [[["CanEasilyComputePcgs"],["IsInt"]]],"locations" : [{"line" : 248,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 58,"comment" : "CyclicTopExtensions: generic method for pc groups","location" : {"line" : 1371,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gi"},"filters" : [["CanEasilyComputePcgs"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CyclicTopExtensions"]},{"name" : "SocleComplement","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SocleComplement: system getter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep","Tester(SocleComplement)"]]},{"rank" : 0,"comment" : "SocleComplement: default method requiring categories and checking properties","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SocleComplement)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SocleComplement): system setter","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SocleComplement): default method, does nothing","location" : {"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSocleComplement"]},{"name" : "Tester(SocleComplement)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 261,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSocleComplement"]},{"name" : "SocleDimensions","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SocleDimensions: system getter","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep","Tester(SocleDimensions)"]]},{"rank" : 0,"comment" : "SocleDimensions: default method requiring categories and checking properties","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SocleDimensions)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SocleDimensions): system setter","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SocleDimensions): default method, does nothing","location" : {"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSocleDimensions"]},{"name" : "Tester(SocleDimensions)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 274,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSocleDimensions"]},{"name" : "ModuleOfExtension","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ModuleOfExtension: system getter","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep","Tester(ModuleOfExtension)"]]},{"rank" : 0,"comment" : "ModuleOfExtension: default method requiring categories and checking properties","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ModuleOfExtension)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ModuleOfExtension): system setter","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ModuleOfExtension): default method, does nothing","location" : {"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetModuleOfExtension"]},{"name" : "Tester(ModuleOfExtension)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 287,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcext.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasModuleOfExtension"]},{"name" : "OmegaAndLowerPCentralSeries","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "OmegaAndLowerPCentralSeries: system getter","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"},"filters" : [["IsAttributeStoringRep","Tester(OmegaAndLowerPCentralSeries)"]]},{"rank" : 46,"comment" : "OmegaAndLowerPCentralSeries: omega and lower central","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 35,"comment" : "OmegaAndLowerPCentralSeries: general case: warn that no method available","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "OmegaAndLowerPCentralSeries: default method requiring categories and checking properties","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OmegaAndLowerPCentralSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OmegaAndLowerPCentralSeries): system setter","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OmegaAndLowerPCentralSeries): default method, does nothing","location" : {"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOmegaAndLowerPCentralSeries"]},{"name" : "Tester(OmegaAndLowerPCentralSeries)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 11,"file" : "\/home\/makx\/ac\/gap\/lib\/randiso.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOmegaAndLowerPCentralSeries"]},{"name" : "SchurCover","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SchurCover: system getter","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep","Tester(SchurCover)"]]},{"rank" : 37,"comment" : "SchurCover: of fp group","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsSubgroupFpGroup"]],"aka" : ["SchurCoverFP"]},{"rank" : 35,"comment" : "SchurCover: general: Holt's algorithm","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SchurCover: default method requiring categories and checking properties","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SchurCover)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SchurCover): system setter","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SchurCover): default method, does nothing","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSchurCover"]},{"name" : "Tester(SchurCover)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSchurCover"]},{"name" : "EpimorphismSchurCover","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "EpimorphismSchurCover: system getter","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep","Tester(EpimorphismSchurCover)"]]},{"rank" : 63,"comment" : "EpimorphismSchurCover: Use copy of AtlasRep's 6-fold cover","location" : {"line" : 827,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "EpimorphismSchurCover: Use library copy of double cover","location" : {"line" : 715,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 62,"comment" : "EpimorphismSchurCover: Use library copy of double cover","location" : {"line" : 689,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"]]},{"rank" : 36,"comment" : "EpimorphismSchurCover: generic, via fp group","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "EpimorphismSchurCover: Holt's algorithm","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["DoMulExt"]},{"rank" : 0,"comment" : "EpimorphismSchurCover: default method requiring categories and checking properties","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 37,"comment" : "EpimorphismSchurCover: Holt's algorithm, primes","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EpimorphismSchurCover)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EpimorphismSchurCover): system setter","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EpimorphismSchurCover): default method, does nothing","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEpimorphismSchurCover"]},{"name" : "Tester(EpimorphismSchurCover)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEpimorphismSchurCover"]},{"name" : "AbelianInvariantsMultiplier","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AbelianInvariantsMultiplier: system getter","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep","Tester(AbelianInvariantsMultiplier)"]]},{"rank" : 36,"comment" : "AbelianInvariantsMultiplier: naive","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "AbelianInvariantsMultiplier: via Sylow Subgroups","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "AbelianInvariantsMultiplier: default method requiring categories and checking properties","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AbelianInvariantsMultiplier)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AbelianInvariantsMultiplier): system setter","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AbelianInvariantsMultiplier): default method, does nothing","location" : {"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAbelianInvariantsMultiplier"]},{"name" : "Tester(AbelianInvariantsMultiplier)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 126,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAbelianInvariantsMultiplier"]},{"name" : "Epicentre","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Epicentre: system getter","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep","Tester(Epicentre)"]]},{"rank" : 35,"comment" : "Epicentre: Naive Method","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Epicentre: default method requiring categories and checking properties","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 70,"comment" : "Epicentre: Naive method","location" : {"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Epicentre)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Epicentre): system setter","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Epicentre): default method, does nothing","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEpicenter","SetEpicentre","SetExteriorCenter","SetExteriorCentre"]},{"name" : "Tester(Epicentre)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEpicenter","HasEpicentre","HasExteriorCenter","HasExteriorCentre"]},{"name" : "NonabelianExteriorSquare","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "NonabelianExteriorSquare: Naive method","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NonabelianExteriorSquare"]},{"name" : "EpimorphismNonabelianExteriorSquare","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 191,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "EpimorphismNonabelianExteriorSquare: Naive method","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EpimorphismNonabelianExteriorSquare"]},{"name" : "IsCentralFactor","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsCentralFactor: system getter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCentralFactor)"]]},{"rank" : 35,"comment" : "IsCentralFactor: Naive method","location" : {"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsCentralFactor: default method requiring categories and checking properties","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCentralFactor)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCentralFactor): system setter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCentralFactor): default method, does nothing","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCentralFactor"]},{"name" : "Tester(IsCentralFactor)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/schur.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SchurCoverOfSymmetricGroup","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "SchurCoverOfSymmetricGroup: P=3, Sign=+1 by default","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [{"rank" : 37,"comment" : "SchurCoverOfSymmetricGroup: Sign=+1 by default","location" : {"line" : 643,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt"]]}],"3args" : [{"rank" : 56,"comment" : "SchurCoverOfSymmetricGroup: Use explicit matrix reps for degrees 1,2,3","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt"],["IsInt"]]},{"rank" : 55,"comment" : "SchurCoverOfSymmetricGroup: Use Lukas Maas's inductive construction of a basic spin rep","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SchurCoverOfSymmetricGroup"]},{"name" : "DoubleCoverOfAlternatingGroup","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsInt"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "DoubleCoverOfAlternatingGroup: P=3 by default","location" : {"line" : 657,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [{"rank" : 37,"comment" : "DoubleCoverOfAlternatingGroup: Use Lukas Maas's inductive construction of a basic spin rep","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/schursym.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoubleCoverOfAlternatingGroup"]},{"name" : "ConjugacyClassSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 86,"comment" : "ConjugacyClassSubgroups","location" : {"line" : 2153,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 70,"comment" : "ConjugacyClassSubgroups","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConjugacyClassSubgroups"]},{"name" : "ClassElementLattice","type" : "GAP_Operation","filters" : [[["IsExternalOrbit"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 30,"comment" : "ClassElementLattice: for classes of subgroups","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsConjugacyClassSubgroupsRep"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Zuppos","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Zuppos: system getter","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep","Tester(Zuppos)"]]},{"rank" : 35,"comment" : "Zuppos: group","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Zuppos: default method requiring categories and checking properties","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 36,"comment" : "Zuppos: group with condition","location" : {"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Zuppos)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Zuppos): system setter","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Zuppos): default method, does nothing","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetZuppos"]},{"name" : "Tester(Zuppos)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasZuppos"]},{"name" : "MaximalSubgroupsLattice","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MaximalSubgroupsLattice: system getter","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalSubgroupsLattice)"]]},{"rank" : 3,"comment" : "MaximalSubgroupsLattice: cyclic extension","location" : {"line" : 1628,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsLatticeSubgroupsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalSubgroupsLattice)","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"],[]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalSubgroupsLattice): system setter","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalSubgroupsLattice): default method, does nothing","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalSubgroupsLattice"]},{"name" : "Tester(MaximalSubgroupsLattice)","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"]]],"locations" : [{"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalSubgroupsLattice"]},{"name" : "MinimalSupergroupsLattice","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MinimalSupergroupsLattice: system getter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimalSupergroupsLattice)"]]},{"rank" : 3,"comment" : "MinimalSupergroupsLattice: cyclic extension","location" : {"line" : 1739,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsLatticeSubgroupsRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimalSupergroupsLattice)","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"],[]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimalSupergroupsLattice): system setter","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimalSupergroupsLattice): default method, does nothing","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimalSupergroupsLattice"]},{"name" : "Tester(MinimalSupergroupsLattice)","type" : "GAP_Operation","filters" : [[["IsLatticeSubgroupsRep"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimalSupergroupsLattice"]},{"name" : "TomDataAlmostSimpleRecognition","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "TomDataAlmostSimpleRecognition: system getter","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep","Tester(TomDataAlmostSimpleRecognition)"]]},{"rank" : 62,"comment" : "TomDataAlmostSimpleRecognition: alt","location" : {"line" : 2751,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGroup)"]]},{"rank" : 35,"comment" : "TomDataAlmostSimpleRecognition: generic","location" : {"line" : 2829,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "TomDataAlmostSimpleRecognition: default method requiring categories and checking properties","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TomDataAlmostSimpleRecognition)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TomDataAlmostSimpleRecognition): system setter","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TomDataAlmostSimpleRecognition): default method, does nothing","location" : {"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTomDataAlmostSimpleRecognition"]},{"name" : "Tester(TomDataAlmostSimpleRecognition)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 417,"file" : "\/home\/makx\/ac\/gap\/lib\/grplatt.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTomDataAlmostSimpleRecognition"]},{"name" : "SubgroupsOrbitsAndNormalizers","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[],["IsBool"]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 61,"comment" : "SubgroupsOrbitsAndNormalizers: perm group on list","location" : {"line" : 298,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsBool"]]},{"rank" : 49,"comment" : "SubgroupsOrbitsAndNormalizers: pc group on list","location" : {"line" : 360,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsList"],["IsBool"]]},{"rank" : 38,"comment" : "SubgroupsOrbitsAndNormalizers: generic on list","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsBool"]]},{"rank" : 37,"comment" : "SubgroupsOrbitsAndNormalizers: generic on record with list","location" : {"line" : 407,"file" : "\/home\/makx\/ac\/gap\/lib\/oprtglat.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"],["IsBool"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubgroupsOrbitsAndNormalisers","SubgroupsOrbitsAndNormalizers"]},{"name" : "IsFrattiniFree","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsFrattiniFree: system getter","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFrattiniFree)"]]},{"rank" : 0,"comment" : "IsFrattiniFree: default method requiring categories and checking properties","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFrattiniFree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFrattiniFree): system setter","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFrattiniFree): default method, does nothing","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFrattiniFree"]},{"name" : "Tester(IsFrattiniFree)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/grppcaut.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LinesOfStraightLineProgram","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LinesOfStraightLineProgram: system getter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep","Tester(LinesOfStraightLineProgram)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LinesOfStraightLineProgram)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"],[]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LinesOfStraightLineProgram): system setter","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LinesOfStraightLineProgram): default method, does nothing","location" : {"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLinesOfStraightLineProgram"]},{"name" : "Tester(LinesOfStraightLineProgram)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 219,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLinesOfStraightLineProgram"]},{"name" : "NrInputsOfStraightLineProgram","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "NrInputsOfStraightLineProgram: system getter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrInputsOfStraightLineProgram)"]]},{"rank" : 1,"comment" : "NrInputsOfStraightLineProgram: for a straight line program","location" : {"line" : 302,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrInputsOfStraightLineProgram)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"],[]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrInputsOfStraightLineProgram): system setter","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrInputsOfStraightLineProgram): default method, does nothing","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrInputsOfStraightLineProgram"]},{"name" : "Tester(NrInputsOfStraightLineProgram)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrInputsOfStraightLineProgram"]},{"name" : "ResultOfStraightLineProgram","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"],["IsHomogeneousList"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 6,"comment" : "ResultOfStraightLineProgram: for a straight line program with slot usage pattern, a list","location" : {"line" : 2954,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram","Tester(SlotUsagePattern)"],["IsHomogeneousList"]]},{"rank" : 5,"comment" : "ResultOfStraightLineProgram: for a straight line program, and a homogeneous list","location" : {"line" : 367,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ResultOfStraightLineProgram"]},{"name" : "StraightLineProgElmType","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "StraightLineProgElmType: system getter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep","Tester(StraightLineProgElmType)"]]},{"rank" : 1,"comment" : "StraightLineProgElmType: generic","location" : {"line" : 954,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StraightLineProgElmType)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StraightLineProgElmType): system setter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StraightLineProgElmType): default method, does nothing","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStraightLineProgElmType"]},{"name" : "Tester(StraightLineProgElmType)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStraightLineProgElmType"]},{"name" : "StretchImportantSLPElement","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElementWithInverse"]]],"locations" : [{"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "StretchImportantSLPElement: straight line program elements","location" : {"line" : 1594,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgElm"]]},{"rank" : 5,"comment" : "StretchImportantSLPElement: arbitrary elements: do nothing","location" : {"line" : 1571,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsMultiplicativeElementWithInverse"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StretchImportantSLPElement"]},{"name" : "SlotUsagePattern","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "SlotUsagePattern: system getter","location" : {"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep","Tester(SlotUsagePattern)"]]},{"rank" : 1,"comment" : "SlotUsagePattern: for an slp","location" : {"line" : 2882,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SlotUsagePattern)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"],[]]],"locations" : [{"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SlotUsagePattern): system setter","location" : {"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SlotUsagePattern): default method, does nothing","location" : {"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSlotUsagePattern"]},{"name" : "Tester(SlotUsagePattern)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 930,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSlotUsagePattern"]},{"name" : "LargestNrSlots","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LargestNrSlots: system getter","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep","Tester(LargestNrSlots)"]]},{"rank" : 1,"comment" : "LargestNrSlots: for a straight line program","location" : {"line" : 3016,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gi"},"filters" : [["IsStraightLineProgram"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LargestNrSlots)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"],[]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LargestNrSlots): system setter","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LargestNrSlots): default method, does nothing","location" : {"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLargestNrSlots"]},{"name" : "Tester(LargestNrSlots)","type" : "GAP_Operation","filters" : [[["IsStraightLineProgram"]]],"locations" : [{"line" : 943,"file" : "\/home\/makx\/ac\/gap\/lib\/straight.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLargestNrSlots"]},{"name" : "TypeOfObjWithMemory","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "TypeOfObjWithMemory: system getter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"filters" : [["IsAttributeStoringRep","Tester(TypeOfObjWithMemory)"]]},{"rank" : 1,"comment" : "TypeOfObjWithMemory: generic","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TypeOfObjWithMemory)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TypeOfObjWithMemory): system setter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TypeOfObjWithMemory): default method, does nothing","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTypeOfObjWithMemory"]},{"name" : "Tester(TypeOfObjWithMemory)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTypeOfObjWithMemory"]},{"name" : "StripMemory","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "StripMemory: for an object with memory","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 2,"comment" : "StripMemory: for a list","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsList"]]},{"rank" : 0,"comment" : "StripMemory: fallback for all objects","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StripMemory"]},{"name" : "ForgetMemory","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 107,"comment" : "ForgetMemory: nice error message for memory objects","location" : {"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsObjWithMemory"]]},{"rank" : 4,"comment" : "ForgetMemory: for a mutable list","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 0,"comment" : "ForgetMemory: nice error message for all objects","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/memory.gi"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ForgetMemory"]},{"name" : "FpElmEqualityMethod","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FpElmEqualityMethod: system getter","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FpElmEqualityMethod)"]]},{"rank" : 2,"comment" : "FpElmEqualityMethod: generic dispatcher","location" : {"line" : 269,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FpElmEqualityMethod)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"],[]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FpElmEqualityMethod): system setter","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FpElmEqualityMethod): default method, does nothing","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFpElmEqualityMethod"]},{"name" : "Tester(FpElmEqualityMethod)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFpElmEqualityMethod"]},{"name" : "FpElmComparisonMethod","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FpElmComparisonMethod: system getter","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FpElmComparisonMethod)"]]},{"rank" : 2,"comment" : "FpElmComparisonMethod: generic dispatcher","location" : {"line" : 272,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FpElmComparisonMethod)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"],[]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FpElmComparisonMethod): system setter","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FpElmComparisonMethod): default method, does nothing","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFpElmComparisonMethod"]},{"name" : "Tester(FpElmComparisonMethod)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFpElmComparisonMethod"]},{"name" : "FpElementNFFunction","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FpElementNFFunction: system getter","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FpElementNFFunction)"]]},{"rank" : 2,"comment" : "FpElementNFFunction","location" : {"line" : 4919,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FpElementNFFunction)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"],[]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FpElementNFFunction): system setter","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FpElementNFFunction): default method, does nothing","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFpElementNFFunction"]},{"name" : "Tester(FpElementNFFunction)","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"]]],"locations" : [{"line" : 381,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFpElementNFFunction"]},{"name" : "ElementOfFpGroup","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpGroup)"],["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 428,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "ElementOfFpGroup: for a family of free group elements, and an assoc. word","location" : {"line" : 566,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"],["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]]},{"rank" : 9,"comment" : "ElementOfFpGroup: for a family of f.p. group elements, and an assoc. word","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["CategoryFamily(IsElementOfFpGroup)"],["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementOfFpGroup"]},{"name" : "CosetTableInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CosetTableInWholeGroup: system getter","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CosetTableInWholeGroup)"]]},{"rank" : 38,"comment" : "CosetTableInWholeGroup: ByQuoSubRep","location" : {"line" : 1354,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 38,"comment" : "CosetTableInWholeGroup: from augmented table Mtc","location" : {"line" : 1347,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","Tester(AugmentedCosetTableMtcInWholeGroup)"]]},{"rank" : 38,"comment" : "CosetTableInWholeGroup: from augmented table Rrs","location" : {"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup","Tester(AugmentedCosetTableRrsInWholeGroup)"]]},{"rank" : 37,"comment" : "CosetTableInWholeGroup: for finitely presented groups","location" : {"line" : 1335,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "CosetTableInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CosetTableInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CosetTableInWholeGroup): system setter","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CosetTableInWholeGroup): default method, does nothing","location" : {"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCosetTableInWholeGroup"]},{"name" : "Tester(CosetTableInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCosetTableInWholeGroup"]},{"name" : "TryCosetTableInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 624,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 37,"comment" : "TryCosetTableInWholeGroup: for finitely presented groups","location" : {"line" : 1328,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TryCosetTableInWholeGroup"]},{"name" : "CosetTableNormalClosureInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CosetTableNormalClosureInWholeGroup: system getter","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CosetTableNormalClosureInWholeGroup)"]]},{"rank" : 37,"comment" : "CosetTableNormalClosureInWholeGroup: for finitely presented groups","location" : {"line" : 1406,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "CosetTableNormalClosureInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CosetTableNormalClosureInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CosetTableNormalClosureInWholeGroup): system setter","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CosetTableNormalClosureInWholeGroup): default method, does nothing","location" : {"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCosetTableNormalClosureInWholeGroup"]},{"name" : "Tester(CosetTableNormalClosureInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 645,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCosetTableNormalClosureInWholeGroup"]},{"name" : "AsSubgroupOfWholeGroupByQuotient","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "AsSubgroupOfWholeGroupByQuotient: system getter","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsSubgroupOfWholeGroupByQuotient)"]]},{"rank" : 38,"comment" : "AsSubgroupOfWholeGroupByQuotient: is already","location" : {"line" : 1772,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupOfWholeGroupByQuotientRep"]]},{"rank" : 37,"comment" : "AsSubgroupOfWholeGroupByQuotient: create","location" : {"line" : 1769,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsSubgroupOfWholeGroupByQuotient)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsSubgroupOfWholeGroupByQuotient): system setter","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsSubgroupOfWholeGroupByQuotient): default method, does nothing","location" : {"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsSubgroupOfWholeGroupByQuotient"]},{"name" : "Tester(AsSubgroupOfWholeGroupByQuotient)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 780,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsSubgroupOfWholeGroupByQuotient"]},{"name" : "LowIndexSubgroupsFpGroupIterator","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],[["IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],[["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]],[["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]]],"locations" : [{"line" : 891,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},{"line" : 893,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},{"line" : 895,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},{"line" : 898,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "LowIndexSubgroupsFpGroupIterator: supply trivial subgroup","location" : {"line" : 3046,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 96,"comment" : "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it","location" : {"line" : 3052,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],"aka" : ["DoLowIndexSubgroupsFpGroupIterator"]},{"rank" : 95,"comment" : "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it -- still the old code","location" : {"line" : 2797,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],"aka" : ["DoLowIndexSubgroupsFpGroupIteratorWithSubgroupAndExclude"]},{"rank" : 93,"comment" : "LowIndexSubgroupsFpGroupIterator: subgroups of f.p. group","location" : {"line" : 3078,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : 61,"comment" : "LowIndexSubgroupsFpGroupIterator: supply trivial subgroup, with exclusion list","location" : {"line" : 2805,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]]}],"4args" : [{"rank" : 98,"comment" : "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it, with exclusion list","location" : {"line" : 2797,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["LowIndexSubgroupsFpGroupIterator"]},{"name" : "LowIndexSubgroupsFpGroup","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 901,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 56,"comment" : "LowIndexSubgroupsFpGroup: supply trivial subgroup","location" : {"line" : 3119,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 96,"comment" : "LowIndexSubgroupsFpGroup: subgroups of full fp group","location" : {"line" : 3100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]],"aka" : ["DoLowIndexSubgroupsFpGroupViaIterator"]},{"rank" : 93,"comment" : "LowIndexSubgroupsFpGroup: subgroups of fp group","location" : {"line" : 3142,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : 61,"comment" : "LowIndexSubgroupsFpGroup: with exclusion list, supply trivial subgroup","location" : {"line" : 3126,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]]}],"4args" : [{"rank" : 98,"comment" : "LowIndexSubgroupsFpGroup: subgroups of full fp group, with exclusion list","location" : {"line" : 3100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsSubgroupFpGroup"],["IsInt","IsPosRat"],["IsList"]]}],"5args" : [],"6args" : []}},{"name" : "FreeGeneratorsOfFpGroup","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "FreeGeneratorsOfFpGroup: system getter","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeGeneratorsOfFpGroup)"]]},{"rank" : 45,"comment" : "FreeGeneratorsOfFpGroup: for a free group","location" : {"line" : 525,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "FreeGeneratorsOfFpGroup: for a finitely presented group","location" : {"line" : 1605,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeGeneratorsOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeGeneratorsOfFpGroup): system setter","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeGeneratorsOfFpGroup): default method, does nothing","location" : {"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeGeneratorsOfFpGroup"]},{"name" : "Tester(FreeGeneratorsOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 947,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeGeneratorsOfFpGroup"]},{"name" : "FreeGeneratorsOfWholeGroup","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 37,"comment" : "FreeGeneratorsOfWholeGroup: for a finitely presented group","location" : {"line" : 1615,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FreeGeneratorsOfWholeGroup"]},{"name" : "RelatorsOfFpGroup","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "RelatorsOfFpGroup: system getter","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelatorsOfFpGroup)"]]},{"rank" : 45,"comment" : "RelatorsOfFpGroup: for a free group","location" : {"line" : 535,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "RelatorsOfFpGroup: for finitely presented group","location" : {"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelatorsOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RelatorsOfFpGroup): system setter","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelatorsOfFpGroup): default method, does nothing","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelatorsOfFpGroup"]},{"name" : "Tester(RelatorsOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelatorsOfFpGroup"]},{"name" : "FreeGroupOfFpGroup","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "FreeGroupOfFpGroup: system getter","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeGroupOfFpGroup)"]]},{"rank" : 45,"comment" : "FreeGroupOfFpGroup: for a free group","location" : {"line" : 545,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsGroupOfFamily","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","IsSubgroupFpGroup"]]},{"rank" : 38,"comment" : "FreeGroupOfFpGroup: for a finitely presented group","location" : {"line" : 1623,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeGroupOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeGroupOfFpGroup): system setter","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeGroupOfFpGroup): default method, does nothing","location" : {"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeGroupOfFpGroup"]},{"name" : "Tester(FreeGroupOfFpGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 1012,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeGroupOfFpGroup"]},{"name" : "IndicesInvolutaryGenerators","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20040,"comment" : "IndicesInvolutaryGenerators: system getter","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndicesInvolutaryGenerators)"]]},{"rank" : 38,"comment" : "IndicesInvolutaryGenerators: for finitely presented group","location" : {"line" : 3529,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndicesInvolutaryGenerators)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndicesInvolutaryGenerators): system setter","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndicesInvolutaryGenerators): default method, does nothing","location" : {"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndicesInvolutaryGenerators"]},{"name" : "Tester(IndicesInvolutaryGenerators)","type" : "GAP_Operation","filters" : [[["IsGroupOfFamily","IsSubgroupFpGroup"]]],"locations" : [{"line" : 1031,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndicesInvolutaryGenerators"]},{"name" : "StoredExcludedOrders","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "StoredExcludedOrders: system getter","location" : {"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(StoredExcludedOrders)"]]},{"rank" : 38,"comment" : "StoredExcludedOrders: fp group","location" : {"line" : 4966,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StoredExcludedOrders)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StoredExcludedOrders): system mutable setter","location" : {"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StoredExcludedOrders): default method, does nothing","location" : {"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStoredExcludedOrders"]},{"name" : "Tester(StoredExcludedOrders)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 1196,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStoredExcludedOrders"]},{"name" : "FPFaithHom","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "FPFaithHom: system getter","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(FPFaithHom)"]]},{"rank" : 1,"comment" : "FPFaithHom: try perm or pc hom","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FPFaithHom)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FPFaithHom): system setter","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FPFaithHom): default method, does nothing","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFPFaithHom"]},{"name" : "Tester(FPFaithHom)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFPFaithHom"]},{"name" : "AugmentedCosetTableMtcInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AugmentedCosetTableMtcInWholeGroup: system getter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep","Tester(AugmentedCosetTableMtcInWholeGroup)"]]},{"rank" : 37,"comment" : "AugmentedCosetTableMtcInWholeGroup: subgroup of fp group","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "AugmentedCosetTableMtcInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AugmentedCosetTableMtcInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AugmentedCosetTableMtcInWholeGroup): system mutable setter","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AugmentedCosetTableMtcInWholeGroup): default method, does nothing","location" : {"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAugmentedCosetTableMtcInWholeGroup"]},{"name" : "Tester(AugmentedCosetTableMtcInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 212,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAugmentedCosetTableMtcInWholeGroup"]},{"name" : "AugmentedCosetTableRrsInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AugmentedCosetTableRrsInWholeGroup: system getter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep","Tester(AugmentedCosetTableRrsInWholeGroup)"]]},{"rank" : 38,"comment" : "AugmentedCosetTableRrsInWholeGroup: use Mtc table","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsSubgroupFpGroup","Tester(AugmentedCosetTableMtcInWholeGroup)"]]},{"rank" : 37,"comment" : "AugmentedCosetTableRrsInWholeGroup: subgroup of fp group","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "AugmentedCosetTableRrsInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AugmentedCosetTableRrsInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AugmentedCosetTableRrsInWholeGroup): system mutable setter","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AugmentedCosetTableRrsInWholeGroup): default method, does nothing","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAugmentedCosetTableRrsInWholeGroup"]},{"name" : "Tester(AugmentedCosetTableRrsInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAugmentedCosetTableRrsInWholeGroup"]},{"name" : "AugmentedCosetTableNormalClosureInWholeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "AugmentedCosetTableNormalClosureInWholeGroup: system getter","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep","Tester(AugmentedCosetTableNormalClosureInWholeGroup)"]]},{"rank" : 37,"comment" : "AugmentedCosetTableNormalClosureInWholeGroup: subgroup of fp group","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsSubgroupFpGroup"]]},{"rank" : 0,"comment" : "AugmentedCosetTableNormalClosureInWholeGroup: default method requiring categories and checking properties","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AugmentedCosetTableNormalClosureInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AugmentedCosetTableNormalClosureInWholeGroup): system mutable setter","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AugmentedCosetTableNormalClosureInWholeGroup): default method, does nothing","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAugmentedCosetTableNormalClosureInWholeGroup"]},{"name" : "Tester(AugmentedCosetTableNormalClosureInWholeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAugmentedCosetTableNormalClosureInWholeGroup"]},{"name" : "AugmentedCosetTableNormalClosure","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 75,"comment" : "AugmentedCosetTableNormalClosure: for finitely presented groups","location" : {"line" : 1157,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AugmentedCosetTableNormalClosure"]},{"name" : "CosetTableBySubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 74,"comment" : "CosetTableBySubgroup: use `CosetTableInWholeGroup","location" : {"line" : 1209,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsSubgroupFpGroup"],["IsSubgroupFpGroup"]]},{"rank" : 70,"comment" : "CosetTableBySubgroup: coset action","location" : {"line" : 1198,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CosetTableBySubgroup"]},{"name" : "PrimaryGeneratorWords","type" : "GAP_Operation","filters" : [[["IsPresentation"]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "PrimaryGeneratorWords: system getter","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep","Tester(PrimaryGeneratorWords)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PrimaryGeneratorWords)","type" : "GAP_Operation","filters" : [[["IsPresentation"],[]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PrimaryGeneratorWords): system setter","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PrimaryGeneratorWords): default method, does nothing","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPrimaryGeneratorWords"]},{"name" : "Tester(PrimaryGeneratorWords)","type" : "GAP_Operation","filters" : [[["IsPresentation"]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/sgpres.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPrimaryGeneratorWords"]},{"name" : "TietzeOrigin","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "TietzeOrigin: system getter","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [["IsAttributeStoringRep","Tester(TietzeOrigin)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TietzeOrigin)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TietzeOrigin): system setter","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TietzeOrigin): default method, does nothing","location" : {"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTietzeOrigin"]},{"name" : "Tester(TietzeOrigin)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTietzeOrigin"]},{"name" : "TzOptions","type" : "GAP_Operation","filters" : [[["IsPresentation"]]],"locations" : [{"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "TzOptions: system getter","location" : {"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [["IsAttributeStoringRep","Tester(TzOptions)"]]},{"rank" : 2,"comment" : "TzOptions: set default values","location" : {"line" : 2984,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gi"},"filters" : [["IsPresentation"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TzOptions)","type" : "GAP_Operation","filters" : [[["IsPresentation"],[]]],"locations" : [{"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TzOptions): system mutable setter","location" : {"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TzOptions): default method, does nothing","location" : {"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTzOptions"]},{"name" : "Tester(TzOptions)","type" : "GAP_Operation","filters" : [[["IsPresentation"]]],"locations" : [{"line" : 1614,"file" : "\/home\/makx\/ac\/gap\/lib\/tietze.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTzOptions"]},{"name" : "IsWordDecompHomomorphism","type" : "GAP_Operation","filters" : [[["IsGroupGeneralMappingByImages"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsWordDecompHomomorphism: system getter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWordDecompHomomorphism)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWordDecompHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGroupGeneralMappingByImages"],["IsBool"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWordDecompHomomorphism): system setter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWordDecompHomomorphism): default method, does nothing","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWordDecompHomomorphism"]},{"name" : "Tester(IsWordDecompHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGroupGeneralMappingByImages"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CosetTableFpHom","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "CosetTableFpHom: system getter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(CosetTableFpHom)"]]},{"rank" : 29,"comment" : "CosetTableFpHom: for fp homomorphisms","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsGroupGeneralMappingByImages","IsFromFpGroupGeneralMappingByImages"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CosetTableFpHom)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CosetTableFpHom): system mutable setter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CosetTableFpHom): default method, does nothing","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCosetTableFpHom"]},{"name" : "Tester(CosetTableFpHom)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCosetTableFpHom"]},{"name" : "IsomorphismSimplifiedFpGroup","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "IsomorphismSimplifiedFpGroup: system getter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismSimplifiedFpGroup)"]]},{"rank" : 37,"comment" : "IsomorphismSimplifiedFpGroup: using tietze transformations","location" : {"line" : 927,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsSubgroupFpGroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismSimplifiedFpGroup)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"],[]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismSimplifiedFpGroup): system setter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismSimplifiedFpGroup): default method, does nothing","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismSimplifiedFpGroup"]},{"name" : "Tester(IsomorphismSimplifiedFpGroup)","type" : "GAP_Operation","filters" : [[["IsSubgroupFpGroup"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismSimplifiedFpGroup"]},{"name" : "EpimorphismFromFreeGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "EpimorphismFromFreeGroup: system getter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep","Tester(EpimorphismFromFreeGroup)"]]},{"rank" : 36,"comment" : "EpimorphismFromFreeGroup: general","location" : {"line" : 1199,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "EpimorphismFromFreeGroup: default method requiring categories and checking properties","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EpimorphismFromFreeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EpimorphismFromFreeGroup): system setter","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EpimorphismFromFreeGroup): default method, does nothing","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEpimorphismFromFreeGroup"]},{"name" : "Tester(EpimorphismFromFreeGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/ghomfp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEpimorphismFromFreeGroup"]},{"name" : "NiceMonomorphism","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "NiceMonomorphism: system getter","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceMonomorphism)"]]},{"rank" : 1371,"comment" : "NiceMonomorphism: SeedFaithfulAction supersedes","location" : {"line" : 1014,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)","Tester(SeedFaithfulAction)"]]},{"rank" : 759,"comment" : "NiceMonomorphism: for subgroups that get the nice monomorphism by their parent","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["Tester(ParentAttr)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 393,"comment" : "NiceMonomorphism: falling back on GL","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 390,"comment" : "NiceMonomorphism: use NicomorphismOfGeneralMatrixGroup","location" : {"line" : 547,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 383,"comment" : "NiceMonomorphism: for automorphism groups","location" : {"line" : 1937,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsGroupOfAutomorphismsFiniteGroup","Tester(IsGroupOfAutomorphismsFiniteGroup)"]]},{"rank" : 370,"comment" : "NiceMonomorphism: via IsomorphismAbelianGroupViaIndependentGenerators","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanEasilyComputeWithIndependentGensAbelianGroup","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 369,"comment" : "NiceMonomorphism: regular action","location" : {"line" : 188,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 136,"comment" : "NiceMonomorphism: if a canonical nice monomorphism is already known","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(CanonicalNiceMonomorphism)"]]},{"rank" : 48,"comment" : "NiceMonomorphism: for a (nonrational) cyclotomic matrix group","location" : {"line" : 390,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceMonomorphism)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 10058,"comment" : "Setter(NiceMonomorphism): set `IsNiceomorphism' property","location" : {"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 2,"comment" : "Setter(NiceMonomorphism): system setter","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceMonomorphism): default method, does nothing","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceMonomorphism"]},{"name" : "Tester(NiceMonomorphism)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceMonomorphism"]},{"name" : "IsCanonicalNiceMonomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "IsCanonicalNiceMonomorphism: system getter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCanonicalNiceMonomorphism)"]]},{"rank" : 0,"comment" : "IsCanonicalNiceMonomorphism: default method requiring categories and checking properties","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCanonicalNiceMonomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsBool"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCanonicalNiceMonomorphism): system setter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCanonicalNiceMonomorphism): default method, does nothing","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCanonicalNiceMonomorphism"]},{"name" : "Tester(IsCanonicalNiceMonomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CanonicalNiceMonomorphism","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "CanonicalNiceMonomorphism: system getter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalNiceMonomorphism)"]]},{"rank" : 390,"comment" : "CanonicalNiceMonomorphism","location" : {"line" : 554,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 36,"comment" : "CanonicalNiceMonomorphism: test canonicity of existing niceo","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(NiceMonomorphism)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalNiceMonomorphism)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalNiceMonomorphism): system setter","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalNiceMonomorphism): default method, does nothing","location" : {"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalNiceMonomorphism"]},{"name" : "Tester(CanonicalNiceMonomorphism)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 125,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalNiceMonomorphism"]},{"name" : "NiceObject","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "NiceObject: system getter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(NiceObject)"]]},{"rank" : 369,"comment" : "NiceObject","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NiceObject)","type" : "GAP_Operation","filters" : [[[],[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NiceObject): system setter","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NiceObject): default method, does nothing","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNiceObject"]},{"name" : "Tester(NiceObject)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNiceObject"]},{"name" : "IsHandledByNiceMonomorphism","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20003,"comment" : "IsHandledByNiceMonomorphism: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 48,"comment" : "IsHandledByNiceMonomorphism: for a cyclotomic matrix group","location" : {"line" : 408,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsHandledByNiceMonomorphism)","type" : "GAP_Operation","filters" : [[[],["IsBool"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsHandledByNiceMonomorphism): system setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsHandledByNiceMonomorphism): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsHandledByNiceMonomorphism"]},{"name" : "Tester(IsHandledByNiceMonomorphism)","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GroupByNiceMonomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 207,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 52,"comment" : "GroupByNiceMonomorphism","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GroupByNiceMonomorphism"]},{"name" : "SeedFaithfulAction","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "SeedFaithfulAction: system getter","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep","Tester(SeedFaithfulAction)"]]},{"rank" : 35,"comment" : "SeedFaithfulAction: default: fail","location" : {"line" : 998,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "SeedFaithfulAction: default method requiring categories and checking properties","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SeedFaithfulAction)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SeedFaithfulAction): system setter","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SeedFaithfulAction): default method, does nothing","location" : {"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSeedFaithfulAction"]},{"name" : "Tester(SeedFaithfulAction)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 949,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnice.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSeedFaithfulAction"]},{"name" : "AutomorphismGroup","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "AutomorphismGroup: system getter","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(AutomorphismGroup)"]]},{"rank" : 44,"comment" : "AutomorphismGroup: finite groups","location" : {"line" : 1910,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "AutomorphismGroup:  fallback method to test conditions","location" : {"line" : 1914,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"],[]]],"locations" : [{"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AutomorphismGroup): system setter","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AutomorphismGroup): default method, does nothing","location" : {"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAutomorphismGroup"]},{"name" : "Tester(AutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 49,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAutomorphismGroup"]},{"name" : "IsGroupOfAutomorphisms","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsGroupOfAutomorphisms: system getter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGroupOfAutomorphisms)"]]},{"rank" : 35,"comment" : "IsGroupOfAutomorphisms: test generators and one","location" : {"line" : 89,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsGroupOfAutomorphisms: default method requiring categories and checking properties","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGroupOfAutomorphisms)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGroupOfAutomorphisms): system setter","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGroupOfAutomorphisms): default method, does nothing","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGroupOfAutomorphisms"]},{"name" : "Tester(IsGroupOfAutomorphisms)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsGroupOfAutomorphismsFiniteGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsGroupOfAutomorphismsFiniteGroup: system getter","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGroupOfAutomorphismsFiniteGroup)"]]},{"rank" : 35,"comment" : "IsGroupOfAutomorphismsFiniteGroup: default","location" : {"line" : 97,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsGroupOfAutomorphismsFiniteGroup: default method requiring categories and checking properties","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGroupOfAutomorphismsFiniteGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGroupOfAutomorphismsFiniteGroup): system setter","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGroupOfAutomorphismsFiniteGroup): default method, does nothing","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGroupOfAutomorphismsFiniteGroup"]},{"name" : "Tester(IsGroupOfAutomorphismsFiniteGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "AutomorphismDomain","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "AutomorphismDomain: system getter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(AutomorphismDomain)"]]},{"rank" : 37,"comment" : "AutomorphismDomain: use source of one","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"]]},{"rank" : 0,"comment" : "AutomorphismDomain: default method requiring categories and checking properties","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AutomorphismDomain)","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"],[]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AutomorphismDomain): system setter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AutomorphismDomain): default method, does nothing","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAutomorphismDomain"]},{"name" : "Tester(AutomorphismDomain)","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAutomorphismDomain"]},{"name" : "IsAutomorphismGroup","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"]]],"locations" : [{"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20039,"comment" : "IsAutomorphismGroup: system getter","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAutomorphismGroup)"]]},{"rank" : 0,"comment" : "IsAutomorphismGroup: default method requiring categories and checking properties","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"],["IsBool"]]],"locations" : [{"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAutomorphismGroup): system setter","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAutomorphismGroup): default method, does nothing","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAutomorphismGroup"]},{"name" : "Tester(IsAutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)"]]],"locations" : [{"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InnerAutomorphismsAutomorphismGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "InnerAutomorphismsAutomorphismGroup: system getter","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep","Tester(InnerAutomorphismsAutomorphismGroup)"]]},{"rank" : 48,"comment" : "InnerAutomorphismsAutomorphismGroup: for automorphism groups","location" : {"line" : 1955,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsAutomorphismGroup","Tester(IsAutomorphismGroup)"]]},{"rank" : 0,"comment" : "InnerAutomorphismsAutomorphismGroup: default method requiring categories and checking properties","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InnerAutomorphismsAutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InnerAutomorphismsAutomorphismGroup): system setter","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InnerAutomorphismsAutomorphismGroup): default method, does nothing","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInnerAutomorphismsAutomorphismGroup"]},{"name" : "Tester(InnerAutomorphismsAutomorphismGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInnerAutomorphismsAutomorphismGroup"]},{"name" : "GQuotients","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 85,"comment" : "GQuotients: whole fp group to finite group","location" : {"line" : 4480,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsSubgroupFpGroup"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 82,"comment" : "GQuotients: subgroup of an fp group","location" : {"line" : 4489,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsSubgroupFpGroup"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 80,"comment" : "GQuotients: for groups which can compute element orders","location" : {"line" : 2151,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GQuotients"]},{"name" : "IsomorphicSubgroups","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 89,"comment" : "IsomorphicSubgroups: for finite groups","location" : {"line" : 2310,"file" : "\/home\/makx\/ac\/gap\/lib\/morpheus.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsomorphicSubgroups"]},{"name" : "DefaultFieldOfMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "DefaultFieldOfMatrixGroup: system getter","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(DefaultFieldOfMatrixGroup)"]]},{"rank" : 49,"comment" : "DefaultFieldOfMatrixGroup: alg elms","location" : {"line" : 1051,"file" : "\/home\/makx\/ac\/gap\/lib\/algfld.gi"},"filters" : [["IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)","CategoryCollections(CategoryCollections(CategoryCollections(IsAlgebraicElement)))"]]},{"rank" : 48,"comment" : "DefaultFieldOfMatrixGroup: for a matrix group over an s.c. algebra","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(CategoryCollections(CategoryCollections(IsSCAlgebraObj)))"]]},{"rank" : 48,"comment" : "DefaultFieldOfMatrixGroup: for matrix group over the cyclotomics","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 48,"comment" : "DefaultFieldOfMatrixGroup: for a matrix group over a ring Z\/nZ","location" : {"line" : 1181,"file" : "\/home\/makx\/ac\/gap\/lib\/zmodnz.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(CategoryCollections(CategoryCollections(IsZmodnZObjNonprime)))"]]},{"rank" : 45,"comment" : "DefaultFieldOfMatrixGroup: for a matrix group","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "DefaultFieldOfMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DefaultFieldOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DefaultFieldOfMatrixGroup): system setter","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DefaultFieldOfMatrixGroup): default method, does nothing","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDefaultFieldOfMatrixGroup"]},{"name" : "Tester(DefaultFieldOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDefaultFieldOfMatrixGroup"]},{"name" : "DimensionOfMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "DimensionOfMatrixGroup: system getter","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(DimensionOfMatrixGroup)"]]},{"rank" : 49,"comment" : "DimensionOfMatrixGroup: from one","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","Tester(OneImmutable)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 46,"comment" : "DimensionOfMatrixGroup: from generators","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "DimensionOfMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DimensionOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DimensionOfMatrixGroup): system setter","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DimensionOfMatrixGroup): default method, does nothing","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfMatrixGroup","SetDimensionOfMatrixGroup"]},{"name" : "Tester(DimensionOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfMatrixGroup","HasDimensionOfMatrixGroup"]},{"name" : "FieldOfMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "FieldOfMatrixGroup: system getter","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(FieldOfMatrixGroup)"]]},{"rank" : 48,"comment" : "FieldOfMatrixGroup","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "FieldOfMatrixGroup: for a matrix group","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "FieldOfMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FieldOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FieldOfMatrixGroup): system setter","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FieldOfMatrixGroup): default method, does nothing","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFieldOfMatrixGroup"]},{"name" : "Tester(FieldOfMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFieldOfMatrixGroup"]},{"name" : "TransposedMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "TransposedMatrixGroup: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransposedMatrixGroup)"]]},{"rank" : 45,"comment" : "TransposedMatrixGroup","location" : {"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "TransposedMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransposedMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransposedMatrixGroup): system setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransposedMatrixGroup): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransposedMatrixGroup"]},{"name" : "Tester(TransposedMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTransposedMatrixGroup"]},{"name" : "IsGeneralLinearGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsGeneralLinearGroup: system getter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGeneralLinearGroup)"]]},{"rank" : 45,"comment" : "IsGeneralLinearGroup: try natural","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 35,"comment" : "IsGeneralLinearGroup: generic method for finite groups","location" : {"line" : 1425,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsGeneralLinearGroup: default method requiring categories and checking properties","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGeneralLinearGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGeneralLinearGroup): system setter","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGeneralLinearGroup): default method, does nothing","location" : {"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGL","SetIsGeneralLinearGroup"]},{"name" : "Tester(IsGeneralLinearGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 220,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNaturalGL","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsNaturalGL: system getter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNaturalGL)"]]},{"rank" : 393,"comment" : "IsNaturalGL: size comparison","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "IsNaturalGL: default method requiring categories and checking properties","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNaturalGL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNaturalGL): system setter","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNaturalGL): default method, does nothing","location" : {"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNaturalGL"]},{"name" : "Tester(IsNaturalGL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 241,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSpecialLinearGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSpecialLinearGroup: system getter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSpecialLinearGroup)"]]},{"rank" : 35,"comment" : "IsSpecialLinearGroup: generic method for finite groups","location" : {"line" : 1335,"file" : "\/home\/makx\/ac\/gap\/lib\/grpnames.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsSpecialLinearGroup: default method requiring categories and checking properties","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSpecialLinearGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSpecialLinearGroup): system setter","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSpecialLinearGroup): default method, does nothing","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSL","SetIsSpecialLinearGroup"]},{"name" : "Tester(IsSpecialLinearGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNaturalSL","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsNaturalSL: system getter","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNaturalSL)"]]},{"rank" : 393,"comment" : "IsNaturalSL: size comparison","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/grpffmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "IsNaturalSL: default method requiring categories and checking properties","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNaturalSL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNaturalSL): system setter","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNaturalSL): default method, does nothing","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNaturalSL"]},{"name" : "Tester(IsNaturalSL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSubgroupSL","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsSubgroupSL: system getter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSubgroupSL)"]]},{"rank" : 46,"comment" : "IsSubgroupSL: determinant test for generators","location" : {"line" : 750,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -14,"comment" : "IsSubgroupSL: default method requiring categories and checking properties","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSubgroupSL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSubgroupSL): system setter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSubgroupSL): default method, does nothing","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSubgroupSL"]},{"name" : "Tester(IsSubgroupSL)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InvariantBilinearForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "InvariantBilinearForm: system getter","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(InvariantBilinearForm)"]]},{"rank" : 46,"comment" : "InvariantBilinearForm: for a matrix group with known `InvariantQuadraticForm'","location" : {"line" : 1116,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(InvariantQuadraticForm)"]]},{"rank" : -14,"comment" : "InvariantBilinearForm: default method requiring categories and checking properties","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InvariantBilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InvariantBilinearForm): system setter","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InvariantBilinearForm): default method, does nothing","location" : {"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInvariantBilinearForm"]},{"name" : "Tester(InvariantBilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 330,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInvariantBilinearForm"]},{"name" : "IsFullSubgroupGLorSLRespectingBilinearForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsFullSubgroupGLorSLRespectingBilinearForm: system getter","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"]]},{"rank" : -14,"comment" : "IsFullSubgroupGLorSLRespectingBilinearForm: default method requiring categories and checking properties","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullSubgroupGLorSLRespectingBilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullSubgroupGLorSLRespectingBilinearForm): system setter","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullSubgroupGLorSLRespectingBilinearForm): default method, does nothing","location" : {"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullSubgroupGLorSLRespectingBilinearForm"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingBilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 350,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InvariantSesquilinearForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "InvariantSesquilinearForm: system getter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(InvariantSesquilinearForm)"]]},{"rank" : -14,"comment" : "InvariantSesquilinearForm: default method requiring categories and checking properties","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InvariantSesquilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InvariantSesquilinearForm): system setter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InvariantSesquilinearForm): default method, does nothing","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInvariantSesquilinearForm"]},{"name" : "Tester(InvariantSesquilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInvariantSesquilinearForm"]},{"name" : "IsFullSubgroupGLorSLRespectingSesquilinearForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsFullSubgroupGLorSLRespectingSesquilinearForm: system getter","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"]]},{"rank" : -14,"comment" : "IsFullSubgroupGLorSLRespectingSesquilinearForm: default method requiring categories and checking properties","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullSubgroupGLorSLRespectingSesquilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullSubgroupGLorSLRespectingSesquilinearForm): system setter","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullSubgroupGLorSLRespectingSesquilinearForm): default method, does nothing","location" : {"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullSubgroupGLorSLRespectingSesquilinearForm"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 398,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InvariantQuadraticForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "InvariantQuadraticForm: system getter","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(InvariantQuadraticForm)"]]},{"rank" : -14,"comment" : "InvariantQuadraticForm: default method requiring categories and checking properties","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InvariantQuadraticForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InvariantQuadraticForm): system setter","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InvariantQuadraticForm): default method, does nothing","location" : {"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInvariantQuadraticForm"]},{"name" : "Tester(InvariantQuadraticForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 445,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInvariantQuadraticForm"]},{"name" : "IsFullSubgroupGLorSLRespectingQuadraticForm","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20047,"comment" : "IsFullSubgroupGLorSLRespectingQuadraticForm: system getter","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullSubgroupGLorSLRespectingQuadraticForm)"]]},{"rank" : -14,"comment" : "IsFullSubgroupGLorSLRespectingQuadraticForm: default method requiring categories and checking properties","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullSubgroupGLorSLRespectingQuadraticForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullSubgroupGLorSLRespectingQuadraticForm): system setter","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullSubgroupGLorSLRespectingQuadraticForm): default method, does nothing","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullSubgroupGLorSLRespectingQuadraticForm"]},{"name" : "Tester(IsFullSubgroupGLorSLRespectingQuadraticForm)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/grpmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "FittingFreeLiftSetup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "FittingFreeLiftSetup: system getter","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep","Tester(FittingFreeLiftSetup)"]]},{"rank" : 58,"comment" : "FittingFreeLiftSetup: permutation","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/permdeco.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 46,"comment" : "FittingFreeLiftSetup: pc group","location" : {"line" : 2840,"file" : "\/home\/makx\/ac\/gap\/lib\/grppc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]},{"rank" : 0,"comment" : "FittingFreeLiftSetup: default method requiring categories and checking properties","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FittingFreeLiftSetup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FittingFreeLiftSetup): system setter","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FittingFreeLiftSetup): default method, does nothing","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFittingFreeLiftSetup"]},{"name" : "Tester(FittingFreeLiftSetup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFittingFreeLiftSetup"]},{"name" : "RecogDecompinfoHomomorphism","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20014,"comment" : "RecogDecompinfoHomomorphism: system getter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep","Tester(RecogDecompinfoHomomorphism)"]]},{"rank" : 0,"comment" : "RecogDecompinfoHomomorphism: default method requiring categories and checking properties","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RecogDecompinfoHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],[]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RecogDecompinfoHomomorphism): system mutable setter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RecogDecompinfoHomomorphism): default method, does nothing","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRecogDecompinfoHomomorphism"]},{"name" : "Tester(RecogDecompinfoHomomorphism)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRecogDecompinfoHomomorphism"]},{"name" : "DirectFactorsFittingFreeSocle","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DirectFactorsFittingFreeSocle: system getter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep","Tester(DirectFactorsFittingFreeSocle)"]]},{"rank" : 44,"comment" : "DirectFactorsFittingFreeSocle: generic","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DirectFactorsFittingFreeSocle: default method requiring categories and checking properties","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DirectFactorsFittingFreeSocle)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DirectFactorsFittingFreeSocle): system setter","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DirectFactorsFittingFreeSocle): default method, does nothing","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDirectFactorsFittingFreeSocle"]},{"name" : "Tester(DirectFactorsFittingFreeSocle)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDirectFactorsFittingFreeSocle"]},{"name" : "ChiefSeriesTF","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ChiefSeriesTF: system getter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep","Tester(ChiefSeriesTF)"]]},{"rank" : 45,"comment" : "ChiefSeriesTF: fitting free","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CanComputeFittingFree"]]},{"rank" : 0,"comment" : "ChiefSeriesTF: default method requiring categories and checking properties","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ChiefSeriesTF)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ChiefSeriesTF): system setter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ChiefSeriesTF): default method, does nothing","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetChiefSeriesTF"]},{"name" : "Tester(ChiefSeriesTF)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fitfree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasChiefSeriesTF"]},{"name" : "IsRationalMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "IsRationalMatrixGroup: system getter","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRationalMatrixGroup)"]]},{"rank" : 48,"comment" : "IsRationalMatrixGroup","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -30,"comment" : "IsRationalMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRationalMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRationalMatrixGroup): system setter","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRationalMatrixGroup): default method, does nothing","location" : {"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRationalMatrixGroup"]},{"name" : "Tester(IsRationalMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsIntegerMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "IsIntegerMatrixGroup: system getter","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIntegerMatrixGroup)"]]},{"rank" : 48,"comment" : "IsIntegerMatrixGroup","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -30,"comment" : "IsIntegerMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIntegerMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIntegerMatrixGroup): system setter","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIntegerMatrixGroup): default method, does nothing","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIntegerMatrixGroup"]},{"name" : "Tester(IsIntegerMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ZClassRepsQClass","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "ZClassRepsQClass: system getter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(ZClassRepsQClass)"]]},{"rank" : -30,"comment" : "ZClassRepsQClass: default method requiring categories and checking properties","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ZClassRepsQClass)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ZClassRepsQClass): system setter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ZClassRepsQClass): default method, does nothing","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetZClassRepsQClass"]},{"name" : "Tester(ZClassRepsQClass)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasZClassRepsQClass"]},{"name" : "NormalizerInGLnZ","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "NormalizerInGLnZ: system getter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalizerInGLnZ)"]]},{"rank" : -30,"comment" : "NormalizerInGLnZ: default method requiring categories and checking properties","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalizerInGLnZ)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalizerInGLnZ): system setter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalizerInGLnZ): default method, does nothing","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalizerInGLnZ"]},{"name" : "Tester(NormalizerInGLnZ)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalizerInGLnZ"]},{"name" : "CentralizerInGLnZ","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "CentralizerInGLnZ: system getter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentralizerInGLnZ)"]]},{"rank" : -30,"comment" : "CentralizerInGLnZ: default method requiring categories and checking properties","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentralizerInGLnZ)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentralizerInGLnZ): system setter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentralizerInGLnZ): default method, does nothing","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentralizerInGLnZ"]},{"name" : "Tester(CentralizerInGLnZ)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentralizerInGLnZ"]},{"name" : "IsBravaisGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "IsBravaisGroup: system getter","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBravaisGroup)"]]},{"rank" : 48,"comment" : "IsBravaisGroup","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -30,"comment" : "IsBravaisGroup: default method requiring categories and checking properties","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBravaisGroup): system setter","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBravaisGroup): default method, does nothing","location" : {"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBravaisGroup"]},{"name" : "Tester(IsBravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 256,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "BravaisGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "BravaisGroup: system getter","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(BravaisGroup)"]]},{"rank" : -30,"comment" : "BravaisGroup: default method requiring categories and checking properties","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BravaisGroup): system setter","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BravaisGroup): default method, does nothing","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBravaisGroup"]},{"name" : "Tester(BravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBravaisGroup"]},{"name" : "BravaisSubgroups","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "BravaisSubgroups: system getter","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(BravaisSubgroups)"]]},{"rank" : -30,"comment" : "BravaisSubgroups: default method requiring categories and checking properties","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BravaisSubgroups)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BravaisSubgroups): system setter","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BravaisSubgroups): default method, does nothing","location" : {"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBravaisSubgroups"]},{"name" : "Tester(BravaisSubgroups)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 300,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBravaisSubgroups"]},{"name" : "BravaisSupergroups","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "BravaisSupergroups: system getter","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(BravaisSupergroups)"]]},{"rank" : -30,"comment" : "BravaisSupergroups: default method requiring categories and checking properties","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BravaisSupergroups)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BravaisSupergroups): system setter","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BravaisSupergroups): default method, does nothing","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBravaisSupergroups"]},{"name" : "Tester(BravaisSupergroups)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBravaisSupergroups"]},{"name" : "NormalizerInGLnZBravaisGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "NormalizerInGLnZBravaisGroup: system getter","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalizerInGLnZBravaisGroup)"]]},{"rank" : -30,"comment" : "NormalizerInGLnZBravaisGroup: default method requiring categories and checking properties","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalizerInGLnZBravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalizerInGLnZBravaisGroup): system setter","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalizerInGLnZBravaisGroup): default method, does nothing","location" : {"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalizerInGLnZBravaisGroup"]},{"name" : "Tester(NormalizerInGLnZBravaisGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 334,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalizerInGLnZBravaisGroup"]},{"name" : "InvariantLattice","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20050,"comment" : "InvariantLattice: system getter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep","Tester(InvariantLattice)"]]},{"rank" : 48,"comment" : "InvariantLattice: for rational matrix groups","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -30,"comment" : "InvariantLattice: default method requiring categories and checking properties","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InvariantLattice)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InvariantLattice): system setter","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InvariantLattice): default method, does nothing","location" : {"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInvariantLattice"]},{"name" : "Tester(InvariantLattice)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInvariantLattice"]},{"name" : "TrivialGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : -58,"comment" : "TrivialGroupCons: perm group","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -62,"comment" : "TrivialGroupCons: pc group","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TrivialGroupCons"]},{"name" : "AbelianGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 97,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -47,"comment" : "AbelianGroupCons: fp group","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsGroupOfFamily","IsSubgroupFpGroup"],["IsList"]]},{"rank" : -58,"comment" : "AbelianGroupCons: perm group","location" : {"line" : 55,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]},{"rank" : -62,"comment" : "AbelianGroupCons: pc group","location" : {"line" : 109,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AbelianGroupCons"]},{"name" : "AlternatingGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 158,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -58,"comment" : "AlternatingGroupCons: perm group with domain","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]},{"rank" : -58,"comment" : "AlternatingGroupCons: perm group with degree","location" : {"line" : 92,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]},{"rank" : -62,"comment" : "AlternatingGroupCons: pc group with degree","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]},{"rank" : -65,"comment" : "AlternatingGroupCons: regular perm group with domain","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsRegular","Tester(IsRegular)"],["IsDenseList"]]},{"rank" : -65,"comment" : "AlternatingGroupCons: regular perm group with degree","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsRegular","Tester(IsRegular)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AlternatingGroupCons"]},{"name" : "CyclicGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -38,"comment" : "CyclicGroupCons: fp group","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],[]]},{"rank" : -62,"comment" : "CyclicGroupCons: pc group","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]},{"rank" : -65,"comment" : "CyclicGroupCons: regular perm group","location" : {"line" : 211,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsRegular","Tester(IsRegular)"],["IsInt","IsPosRat"]]},{"rank" : -390,"comment" : "CyclicGroupCons: matrix group for default field","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : -390,"comment" : "CyclicGroupCons: matrix group for given field","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CyclicGroupCons"]},{"name" : "DihedralGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -47,"comment" : "DihedralGroupCons: fp group","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsGroupOfFamily","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : -58,"comment" : "DihedralGroupCons: perm. group","location" : {"line" : 237,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : -62,"comment" : "DihedralGroupCons: pc group","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DihedralGroupCons"]},{"name" : "QuaternionGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 331,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -47,"comment" : "QuaternionGroupCons: fp group","location" : {"line" : 168,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsGroupOfFamily","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : -58,"comment" : "QuaternionGroupCons: perm. group","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : -62,"comment" : "QuaternionGroupCons: pc group","location" : {"line" : 258,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]},{"rank" : -390,"comment" : "QuaternionGroupCons: matrix group for default field","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : -390,"comment" : "QuaternionGroupCons: matrix group for given field","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["QuaternionGroupCons"]},{"name" : "ElementaryAbelianGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 392,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -47,"comment" : "ElementaryAbelianGroupCons: fp group","location" : {"line" : 190,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsGroupOfFamily","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]},{"rank" : -58,"comment" : "ElementaryAbelianGroupCons: perm group","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : -62,"comment" : "ElementaryAbelianGroupCons: pc group","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementaryAbelianGroupCons"]},{"name" : "FreeAbelianGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 445,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -38,"comment" : "FreeAbelianGroupCons: fp group","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/grp\/basicfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FreeAbelianGroupCons"]},{"name" : "ExtraspecialGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]],"locations" : [{"line" : 498,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -62,"comment" : "ExtraspecialGroupCons: pc group","location" : {"line" : 380,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ExtraspecialGroupCons"]},{"name" : "MathieuGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 564,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -58,"comment" : "MathieuGroupCons: perm group with degree","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MathieuGroupCons"]},{"name" : "SymmetricGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/grp\/basic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -58,"comment" : "SymmetricGroupCons: perm group with domain","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]},{"rank" : -58,"comment" : "SymmetricGroupCons: perm group with degree","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]},{"rank" : -62,"comment" : "SymmetricGroupCons: pc group with degree","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/grp\/basicpcg.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsInt","IsPosRat"]]},{"rank" : -65,"comment" : "SymmetricGroupCons: regular perm group with domain","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsRegular","Tester(IsRegular)"],["IsDenseList"]]},{"rank" : -65,"comment" : "SymmetricGroupCons: regular perm group with degree","location" : {"line" : 422,"file" : "\/home\/makx\/ac\/gap\/grp\/basicprm.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsRegular","Tester(IsRegular)"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymmetricGroupCons"]},{"name" : "GeneralLinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -45,"comment" : "GeneralLinearGroupCons: some generators for GL_n(Z)","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsIntegers"]]},{"rank" : -134,"comment" : "GeneralLinearGroupCons: convert to permgroup","location" : {"line" : 2112,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]},{"rank" : -390,"comment" : "GeneralLinearGroupCons: natural GL for dimension and residue class ring","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/grp\/glzmodmz.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsFinite","Tester(IsFinite)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : -390,"comment" : "GeneralLinearGroupCons: matrix group for dimension and finite field","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneralLinearGroupCons"]},{"name" : "GeneralOrthogonalGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 172,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 174,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : -152,"comment" : "GeneralOrthogonalGroupCons: convert to permgroup","location" : {"line" : 2114,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"],[]]},{"rank" : -390,"comment" : "GeneralOrthogonalGroupCons: GO for dimension and residue class ring for prime powers","location" : {"line" : 478,"file" : "\/home\/makx\/ac\/gap\/grp\/glzmodmz.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsFinite","Tester(IsFinite)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : -390,"comment" : "GeneralOrthogonalGroupCons: matrix group for dimension and finite field","location" : {"line" : 1495,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -390,"comment" : "GeneralOrthogonalGroupCons: matrix group for <e>, dimension, and finite field size","location" : {"line" : 1485,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []},"aka" : ["GeneralOrthogonalGroupCons"]},{"name" : "GeneralUnitaryGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -134,"comment" : "GeneralUnitaryGroupCons: convert to permgroup","location" : {"line" : 2116,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]},{"rank" : -390,"comment" : "GeneralUnitaryGroupCons: matrix group for dimension and finite field size","location" : {"line" : 223,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneralUnitaryGroupCons"]},{"name" : "SpecialLinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 305,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -45,"comment" : "SpecialLinearGroupCons: some generators for SL_n(Z)","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/grpramat.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsIntegers"]]},{"rank" : -134,"comment" : "SpecialLinearGroupCons: convert to permgroup","location" : {"line" : 2119,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]},{"rank" : -390,"comment" : "SpecialLinearGroupCons: natural SL for dimension and residue class ring","location" : {"line" : 70,"file" : "\/home\/makx\/ac\/gap\/grp\/glzmodmz.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsFinite","Tester(IsFinite)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : -390,"comment" : "SpecialLinearGroupCons: matrix group for dimension and finite field","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SpecialLinearGroupCons"]},{"name" : "SpecialOrthogonalGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 392,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 394,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : -152,"comment" : "SpecialOrthogonalGroupCons: convert to permgroup","location" : {"line" : 2121,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"],[]]},{"rank" : -390,"comment" : "SpecialOrthogonalGroupCons: GO for dimension and residue class ring for prime powers","location" : {"line" : 501,"file" : "\/home\/makx\/ac\/gap\/grp\/glzmodmz.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsFinite","Tester(IsFinite)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : -390,"comment" : "SpecialOrthogonalGroupCons: matrix group for dimension and finite field","location" : {"line" : 1572,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -390,"comment" : "SpecialOrthogonalGroupCons: matrix group for <e>, dimension, and finite field size","location" : {"line" : 1562,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []},"aka" : ["SpecialOrthogonalGroupCons"]},{"name" : "SpecialUnitaryGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 471,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -134,"comment" : "SpecialUnitaryGroupCons: convert to permgroup","location" : {"line" : 2123,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]},{"rank" : -390,"comment" : "SpecialUnitaryGroupCons: matrix group for dimension and finite field size","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SpecialUnitaryGroupCons"]},{"name" : "SymplecticGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]],"locations" : [{"line" : 534,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},{"line" : 535,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -134,"comment" : "SymplecticGroupCons: convert to permgroup","location" : {"line" : 2126,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]},{"rank" : -390,"comment" : "SymplecticGroupCons: symplectic group for dimension and residue class ring for prime powers","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/grp\/glzmodmz.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsFinite","Tester(IsFinite)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsZmodnZObjNonprime)"]]},{"rank" : -390,"comment" : "SymplecticGroupCons: matrix group for dimension and finite field","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : -390,"comment" : "SymplecticGroupCons: matrix group for dimension and finite field size","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymplecticGroupCons"]},{"name" : "OmegaCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 618,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -134,"comment" : "OmegaCons: convert to permgroup","location" : {"line" : 2129,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],[]]}],"4args" : [{"rank" : -390,"comment" : "OmegaCons: matrix group for <e>, dimension, and finite field size","location" : {"line" : 1973,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []}},{"name" : "GeneralSemilinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 686,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -154,"comment" : "GeneralSemilinearGroupCons: convert to permgroup","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : -390,"comment" : "GeneralSemilinearGroupCons: matrix group for dimension and finite field size","location" : {"line" : 285,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GeneralSemilinearGroupCons"]},{"name" : "SpecialSemilinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 737,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -154,"comment" : "SpecialSemilinearGroupCons: convert to permgroup","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]},{"rank" : -390,"comment" : "SpecialSemilinearGroupCons: matrix group for dimension and finite field size","location" : {"line" : 326,"file" : "\/home\/makx\/ac\/gap\/grp\/basicmat.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SpecialSemilinearGroupCons"]},{"name" : "ProjectiveGeneralLinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 847,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -54,"comment" : "ProjectiveGeneralLinearGroupCons: action on lines","location" : {"line" : 847,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProjectiveGeneralLinearGroupCons"]},{"name" : "ProjectiveSpecialLinearGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 878,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -54,"comment" : "ProjectiveSpecialLinearGroupCons: action on lines","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProjectiveSpecialLinearGroupCons"]},{"name" : "ProjectiveGeneralUnitaryGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 909,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -54,"comment" : "ProjectiveGeneralUnitaryGroupCons: action on lines","location" : {"line" : 909,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProjectiveGeneralUnitaryGroupCons"]},{"name" : "ProjectiveSpecialUnitaryGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 940,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -54,"comment" : "ProjectiveSpecialUnitaryGroupCons: action on lines","location" : {"line" : 940,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProjectiveSpecialUnitaryGroupCons"]},{"name" : "ProjectiveSymplecticGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 973,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : -54,"comment" : "ProjectiveSymplecticGroupCons: action on lines","location" : {"line" : 973,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ProjectiveSymplecticGroupCons"]},{"name" : "ProjectiveOmegaCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 1003,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : -54,"comment" : "ProjectiveOmegaCons: action on lines","location" : {"line" : 1035,"file" : "\/home\/makx\/ac\/gap\/grp\/classic.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"5args" : [],"6args" : []},"aka" : ["ProjectiveOmegaCons"]},{"name" : "PerfGrpConst","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -37,"comment" : "PerfGrpConst: fp grp","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.grp"},"filters" : [["IsSubgroupFpGroup"],["IsList"]]},{"rank" : -58,"comment" : "PerfGrpConst: perm grp","location" : {"line" : 444,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.grp"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PerfGrpConst"]},{"name" : "PerfectIdentification","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "PerfectIdentification: system getter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"filters" : [["IsAttributeStoringRep","Tester(PerfectIdentification)"]]},{"rank" : 35,"comment" : "PerfectIdentification: id. for perfect groups","location" : {"line" : 718,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.grp"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "PerfectIdentification: default method requiring categories and checking properties","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PerfectIdentification)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PerfectIdentification): system setter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PerfectIdentification): default method, does nothing","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPerfectIdentification"]},{"name" : "Tester(PerfectIdentification)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/grp\/perf.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPerfectIdentification"]},{"name" : "SuzukiGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 21,"file" : "\/home\/makx\/ac\/gap\/grp\/suzuki.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -58,"comment" : "SuzukiGroupCons: permutation group for finite field size","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/grp\/suzuki.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : -390,"comment" : "SuzukiGroupCons: matrix group for finite field size","location" : {"line" : 57,"file" : "\/home\/makx\/ac\/gap\/grp\/suzuki.gi"},"filters" : [["IsFinite","Tester(IsFinite)","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SuzukiGroupCons"]},{"name" : "ReeGroupCons","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]],"locations" : [{"line" : 20,"file" : "\/home\/makx\/ac\/gap\/grp\/ree.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : -45,"comment" : "ReeGroupCons: matrix","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/grp\/ree.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : -116,"comment" : "ReeGroupCons: convert to permgroup","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/grp\/ree.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReeGroupCons"]},{"name" : "DataAboutSimpleGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DataAboutSimpleGroup: system getter","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"},"filters" : [["IsAttributeStoringRep","Tester(DataAboutSimpleGroup)"]]},{"rank" : 35,"comment" : "DataAboutSimpleGroup","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 1,"comment" : "DataAboutSimpleGroup","location" : {"line" : 1094,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gi"},"filters" : [["IsRecord"]]},{"rank" : 0,"comment" : "DataAboutSimpleGroup: default method requiring categories and checking properties","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DataAboutSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DataAboutSimpleGroup): system mutable setter","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DataAboutSimpleGroup): default method, does nothing","location" : {"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDataAboutSimpleGroup"]},{"name" : "Tester(DataAboutSimpleGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/grp\/simple.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDataAboutSimpleGroup"]},{"name" : "ImfRecord","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "ImfRecord: system getter","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImfRecord)"]]},{"rank" : 0,"comment" : "ImfRecord: default method requiring categories and checking properties","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImfRecord)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImfRecord): system mutable setter","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImfRecord): default method, does nothing","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImfRecord"]},{"name" : "Tester(ImfRecord)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 41,"file" : "\/home\/makx\/ac\/gap\/grp\/imf.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImfRecord"]},{"name" : "OrderingsFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "OrderingsFamily: system getter","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrderingsFamily)"]]},{"rank" : 1,"comment" : "OrderingsFamily: for a family","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrderingsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrderingsFamily): system setter","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrderingsFamily): default method, does nothing","location" : {"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrderingsFamily"]},{"name" : "Tester(OrderingsFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 51,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrderingsFamily"]},{"name" : "IsWellFoundedOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsWellFoundedOrdering: system getter","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWellFoundedOrdering)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWellFoundedOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"],["IsBool"]]],"locations" : [{"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWellFoundedOrdering): system setter","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWellFoundedOrdering): default method, does nothing","location" : {"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWellFoundedOrdering"]},{"name" : "Tester(IsWellFoundedOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 79,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsTotalOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsTotalOrdering: system getter","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTotalOrdering)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTotalOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"],["IsBool"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTotalOrdering): system setter","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTotalOrdering): default method, does nothing","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTotalOrdering"]},{"name" : "Tester(IsTotalOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "FamilyForOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "FamilyForOrdering: system getter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamilyForOrdering)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamilyForOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"],[]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamilyForOrdering): system setter","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamilyForOrdering): default method, does nothing","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamilyForOrdering"]},{"name" : "Tester(FamilyForOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamilyForOrdering"]},{"name" : "LessThanFunction","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LessThanFunction: system getter","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(LessThanFunction)"]]},{"rank" : 2,"comment" : "LessThanFunction: for an ordering which has a a LessThanOrEqualFunction","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering","Tester(LessThanOrEqualFunction)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LessThanFunction)","type" : "GAP_Operation","filters" : [[["IsOrdering"],[]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LessThanFunction): system setter","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LessThanFunction): default method, does nothing","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLessThanFunction"]},{"name" : "Tester(LessThanFunction)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLessThanFunction"]},{"name" : "LessThanOrEqualFunction","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LessThanOrEqualFunction: system getter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(LessThanOrEqualFunction)"]]},{"rank" : 2,"comment" : "LessThanOrEqualFunction: for an ordering which has a a LessThanFunction","location" : {"line" : 166,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering","Tester(LessThanFunction)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LessThanOrEqualFunction)","type" : "GAP_Operation","filters" : [[["IsOrdering"],[]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LessThanOrEqualFunction): system setter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LessThanOrEqualFunction): default method, does nothing","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLessThanOrEqualFunction"]},{"name" : "Tester(LessThanOrEqualFunction)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLessThanOrEqualFunction"]},{"name" : "IsLessThanUnder","type" : "GAP_Operation","filters" : [[["IsOrdering"],[],[]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 1,"comment" : "IsLessThanUnder: for an ordering ","location" : {"line" : 206,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLessThanUnder"]},{"name" : "IsLessThanOrEqualUnder","type" : "GAP_Operation","filters" : [[["IsOrdering"],[],[]]],"locations" : [{"line" : 210,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 1,"comment" : "IsLessThanOrEqualUnder: for an ordering and two objects ","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsLessThanOrEqualUnder"]},{"name" : "IsIncomparableUnder","type" : "GAP_Operation","filters" : [[["IsOrdering"],[],[]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 1,"comment" : "IsIncomparableUnder: for an ordering","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsOrdering"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIncomparableUnder"]},{"name" : "OrderingByLessThanFunctionNC","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsFunction"]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "OrderingByLessThanFunctionNC: for a family and a function","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily"],["IsFunction"]]}],"3args" : [{"rank" : 4,"comment" : "OrderingByLessThanFunctionNC: for a family, a function, and a list of properties","location" : {"line" : 128,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily"],["IsFunction"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OrderingByLessThanFunctionNC"]},{"name" : "OrderingByLessThanOrEqualFunctionNC","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsFunction"]]],"locations" : [{"line" : 309,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "OrderingByLessThanOrEqualFunctionNC: for a family and a function","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily"],["IsFunction"]]}],"3args" : [{"rank" : 4,"comment" : "OrderingByLessThanOrEqualFunctionNC: for a family, a function, and a list of properties","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily"],["IsFunction"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OrderingByLessThanOrEqualFunctionNC"]},{"name" : "IsOrderingOnFamilyOfAssocWords","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsOrderingOnFamilyOfAssocWords: system getter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsOrderingOnFamilyOfAssocWords)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsOrderingOnFamilyOfAssocWords)","type" : "GAP_Operation","filters" : [[["IsOrdering"],["IsBool"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsOrderingOnFamilyOfAssocWords): system setter","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsOrderingOnFamilyOfAssocWords): default method, does nothing","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsOrderingOnFamilyOfAssocWords"]},{"name" : "Tester(IsOrderingOnFamilyOfAssocWords)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LetterRepWordsLessFunc","type" : "GAP_Operation","filters" : [[["IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "LetterRepWordsLessFunc: system getter","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(LetterRepWordsLessFunc)"]]},{"rank" : 0,"comment" : "LetterRepWordsLessFunc: default method requiring categories and checking properties","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LetterRepWordsLessFunc)","type" : "GAP_Operation","filters" : [[["IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],[]]],"locations" : [{"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LetterRepWordsLessFunc): system setter","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LetterRepWordsLessFunc): default method, does nothing","location" : {"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLetterRepWordsLessFunc"]},{"name" : "Tester(LetterRepWordsLessFunc)","type" : "GAP_Operation","filters" : [[["IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLetterRepWordsLessFunc"]},{"name" : "IsTranslationInvariantOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsTranslationInvariantOrdering: system getter","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsTranslationInvariantOrdering)"]]},{"rank" : 0,"comment" : "IsTranslationInvariantOrdering: default method requiring categories and checking properties","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsTranslationInvariantOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],["IsBool"]]],"locations" : [{"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsTranslationInvariantOrdering): system setter","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsTranslationInvariantOrdering): default method, does nothing","location" : {"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsTranslationInvariantOrdering"]},{"name" : "Tester(IsTranslationInvariantOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 399,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "OrderingOnGenerators","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "OrderingOnGenerators: system getter","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrderingOnGenerators)"]]},{"rank" : 0,"comment" : "OrderingOnGenerators: default method requiring categories and checking properties","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrderingOnGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],[]]],"locations" : [{"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrderingOnGenerators): system setter","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrderingOnGenerators): default method, does nothing","location" : {"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrderingOnGenerators"]},{"name" : "Tester(OrderingOnGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 453,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrderingOnGenerators"]},{"name" : "LexicographicOrdering","type" : "GAP_Operation","filters" : [[["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]],"locations" : [{"line" : 492,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "LexicographicOrdering: for a free monoid","location" : {"line" : 420,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"]]},{"rank" : 20,"comment" : "LexicographicOrdering: for a free semigroup","location" : {"line" : 410,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 2,"comment" : "LexicographicOrdering: for a family of words of a free semigroup or free monoid","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"]]}],"2args" : [{"rank" : 41,"comment" : "LexicographicOrdering: for a free monoid and a list of generators","location" : {"line" : 438,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 35,"comment" : "LexicographicOrdering: for a free semigroup and a list of generators","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 28,"comment" : "LexicographicOrdering: for a free monoid and a list","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"]]},{"rank" : 22,"comment" : "LexicographicOrdering: for a free semigroup and a list","location" : {"line" : 447,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"]]},{"rank" : 17,"comment" : "LexicographicOrdering: for a family of words of a free semigroup or free monoid and a list of generators","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 4,"comment" : "LexicographicOrdering: for a family of words of a free semigroup or free monoid and a list","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LexicographicOrdering"]},{"name" : "ShortLexOrdering","type" : "GAP_Operation","filters" : [[["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]],"locations" : [{"line" : 522,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "ShortLexOrdering: for a free monoid","location" : {"line" : 635,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"]]},{"rank" : 20,"comment" : "ShortLexOrdering: for a free semigroup","location" : {"line" : 629,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 2,"comment" : "ShortLexOrdering: for a family of words of a free semigroup or free  monoid","location" : {"line" : 550,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"]]}],"2args" : [{"rank" : 41,"comment" : "ShortLexOrdering: for a free monoid and a list of generators in the required order ","location" : {"line" : 653,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 35,"comment" : "ShortLexOrdering: for a free semigroup and a list of generators in the required order","location" : {"line" : 644,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 28,"comment" : "ShortLexOrdering: for a free monoid and a list","location" : {"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"]]},{"rank" : 22,"comment" : "ShortLexOrdering: for a free semigroup and a list","location" : {"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"]]},{"rank" : 17,"comment" : "ShortLexOrdering: for a family of words of a free semigroup or free monoid and a list of generators","location" : {"line" : 587,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 4,"comment" : "ShortLexOrdering: for a family of free words of a free semigroup or free  monoid and a list","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShortLexOrdering"]},{"name" : "IsShortLexOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsShortLexOrdering: system getter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsShortLexOrdering)"]]},{"rank" : 0,"comment" : "IsShortLexOrdering: default method requiring categories and checking properties","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsShortLexOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],["IsBool"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsShortLexOrdering): system setter","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsShortLexOrdering): default method, does nothing","location" : {"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsShortLexOrdering"]},{"name" : "Tester(IsShortLexOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 552,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "WeightLexOrdering","type" : "GAP_Operation","filters" : [[["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]],"locations" : [{"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 43,"comment" : "WeightLexOrdering: for a free monoid, a list of generators and a list of weights","location" : {"line" : 869,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 37,"comment" : "WeightLexOrdering: for a free semigroup, a list of generators and a list of weights","location" : {"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 30,"comment" : "WeightLexOrdering: for a free monoid, a list giving ordering on generators and a list of weights","location" : {"line" : 886,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"],["IsList"]]},{"rank" : 24,"comment" : "WeightLexOrdering: for a free semigroup, a list giving ordering on generators and a list of weights","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"],["IsList"]]},{"rank" : 19,"comment" : "WeightLexOrdering: for a family of words of a free semigroup or free monoid, a list of generators and a list of weights","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 6,"comment" : "WeightLexOrdering: for a family of words of a free semigroup or free monoid, and two lists","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WeightLexOrdering"]},{"name" : "WeightOfGenerators","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "WeightOfGenerators: system getter","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(WeightOfGenerators)"]]},{"rank" : 0,"comment" : "WeightOfGenerators: default method requiring categories and checking properties","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(WeightOfGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],[]]],"locations" : [{"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(WeightOfGenerators): system setter","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(WeightOfGenerators): default method, does nothing","location" : {"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetWeightOfGenerators"]},{"name" : "Tester(WeightOfGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 632,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasWeightOfGenerators"]},{"name" : "IsWeightLexOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "IsWeightLexOrdering: system getter","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWeightLexOrdering)"]]},{"rank" : 0,"comment" : "IsWeightLexOrdering: default method requiring categories and checking properties","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWeightLexOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"],["IsBool"]]],"locations" : [{"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWeightLexOrdering): system setter","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWeightLexOrdering): default method, does nothing","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWeightLexOrdering"]},{"name" : "Tester(IsWeightLexOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsOrderingOnFamilyOfAssocWords","Tester(IsOrderingOnFamilyOfAssocWords)"]]],"locations" : [{"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "BasicWreathProductOrdering","type" : "GAP_Operation","filters" : [[["CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"]]],"locations" : [{"line" : 678,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "BasicWreathProductOrdering: for a free monoid","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"]]},{"rank" : 20,"comment" : "BasicWreathProductOrdering: for a free semigroup","location" : {"line" : 1197,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 2,"comment" : "BasicWreathProductOrdering: for a family of words of a free semigroup or free monoid and a list","location" : {"line" : 1129,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"]]}],"2args" : [{"rank" : 41,"comment" : "BasicWreathProductOrdering: for a free monoid and a list of generators","location" : {"line" : 1220,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 35,"comment" : "BasicWreathProductOrdering: for a free semigroup and a list of generators","location" : {"line" : 1212,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 28,"comment" : "BasicWreathProductOrdering: for a free monoid and a list","location" : {"line" : 1236,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"]]},{"rank" : 22,"comment" : "BasicWreathProductOrdering: for a free semigroup and a list","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"]]},{"rank" : 17,"comment" : "BasicWreathProductOrdering: for a family of words of a free semigroup or free monoid and a list of generators","location" : {"line" : 1156,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"]]},{"rank" : 4,"comment" : "BasicWreathProductOrdering: for a family of words of a free semigroup or free monoid and a list","location" : {"line" : 1190,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BasicWreathProductOrdering"]},{"name" : "IsBasicWreathProductOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsBasicWreathProductOrdering: system getter","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBasicWreathProductOrdering)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBasicWreathProductOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"],["IsBool"]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBasicWreathProductOrdering): system setter","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBasicWreathProductOrdering): default method, does nothing","location" : {"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBasicWreathProductOrdering"]},{"name" : "Tester(IsBasicWreathProductOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 705,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "WreathProductOrdering","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsList"],["IsList"]]],"locations" : [{"line" : 749,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 28,"comment" : "WreathProductOrdering: for a free monoid","location" : {"line" : 1560,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"]]},{"rank" : 22,"comment" : "WreathProductOrdering: for a free semigroup","location" : {"line" : 1553,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"]]},{"rank" : 4,"comment" : "WreathProductOrdering: for a family of words of a free semigroup or free monoid and a list","location" : {"line" : 1310,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"]]}],"3args" : [{"rank" : 30,"comment" : "WreathProductOrdering: for a free monoid and a list","location" : {"line" : 1574,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"],["IsList"]]},{"rank" : 30,"comment" : "WreathProductOrdering: for a free monoid and a list","location" : {"line" : 1546,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"],["IsList"],["IsList"]]},{"rank" : 24,"comment" : "WreathProductOrdering: for a free semigroup and a list","location" : {"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"],["IsList"],["IsList"]]},{"rank" : 19,"comment" : "WreathProductOrdering: for a family of associative words, a list of generators and a list with the levels of the generators","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["CategoryFamily((IsWord and IsAssociativeElement))"],["IsList","CategoryCollections((IsWord and IsAssociativeElement))"],["IsList"]]},{"rank" : 6,"comment" : "WreathProductOrdering: for a family of words of a free semigroup or free monoid and a list","location" : {"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gi"},"filters" : [["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"],["IsList"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WreathProductOrdering"]},{"name" : "IsWreathProductOrdering","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsWreathProductOrdering: system getter","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsWreathProductOrdering)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsWreathProductOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"],["IsBool"]]],"locations" : [{"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsWreathProductOrdering): system setter","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsWreathProductOrdering): default method, does nothing","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsWreathProductOrdering"]},{"name" : "Tester(IsWreathProductOrdering)","type" : "GAP_Operation","filters" : [[["IsOrdering"]]],"locations" : [{"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "LevelsOfGenerators","type" : "GAP_Operation","filters" : [[["IsOrdering","IsWreathProductOrdering","Tester(IsWreathProductOrdering)"]]],"locations" : [{"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "LevelsOfGenerators: system getter","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep","Tester(LevelsOfGenerators)"]]},{"rank" : 0,"comment" : "LevelsOfGenerators: default method requiring categories and checking properties","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsOrdering"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LevelsOfGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsWreathProductOrdering","Tester(IsWreathProductOrdering)"],[]]],"locations" : [{"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LevelsOfGenerators): system setter","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LevelsOfGenerators): default method, does nothing","location" : {"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLevelsOfGenerators"]},{"name" : "Tester(LevelsOfGenerators)","type" : "GAP_Operation","filters" : [[["IsOrdering","IsWreathProductOrdering","Tester(IsWreathProductOrdering)"]]],"locations" : [{"line" : 798,"file" : "\/home\/makx\/ac\/gap\/lib\/orders.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLevelsOfGenerators"]},{"name" : "Transformation","type" : "GAP_Operation","filters" : [[["IsList"]],[["IsList"],["IsList"]],[["IsList"],["IsFunction"]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "Transformation: for a list","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 4,"comment" : "Transformation: for a list and list","location" : {"line" : 130,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsList"],["IsList"]],"aka" : ["TransformationListList"]},{"rank" : 3,"comment" : "Transformation: for a list and function","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsList"],["IsFunction"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Transformation"]},{"name" : "TransformationListList","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]]],"locations" : [{"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "TransformationListList: for a list and list","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TransformationList","type" : "GAP_Operation","filters" : [[["IsList"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "TransformationList: for a list","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformationList"]},{"name" : "TransformationByImageAndKernel","type" : "GAP_Operation","filters" : [[["IsDenseList","CategoryCollections(IsCyclotomic)"],["IsDenseList","CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 58,"comment" : "TransformationByImageAndKernel: for a list of positive integers and a list of positive integers","location" : {"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsDenseList","CategoryCollections(IsCyclotomic)"],["IsDenseList","CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformationByImageAndKernel"]},{"name" : "NumberTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsZeroCyc"]],[["IsTransformation"],["IsInt","IsPosRat"]],[["IsTransformation"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "NumberTransformation: for a transformation","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 28,"comment" : "NumberTransformation: for a transformation and zero","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsZeroCyc"]]},{"rank" : 26,"comment" : "NumberTransformation: for a transformation and positive integer","location" : {"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NumberTransformation"]},{"name" : "TransformationNumber","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsInt","IsPosRat"]],[["IsInt","IsPosRat"],["IsZeroCyc"]]],"locations" : [{"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "TransformationNumber: for a positive integer and zero","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsInt","IsPosRat"],["IsZeroCyc"]]},{"rank" : 38,"comment" : "TransformationNumber: for a positive integer and positive integer","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformationNumber"]},{"name" : "LargestImageOfMovedPoint","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "LargestImageOfMovedPoint: system getter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(LargestImageOfMovedPoint)"]]},{"rank" : 23,"comment" : "LargestImageOfMovedPoint: for a partial perm semigroup","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "LargestImageOfMovedPoint: for a transformation semigroup","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "LargestImageOfMovedPoint: for a partial perm collection","location" : {"line" : 753,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "LargestImageOfMovedPoint: for a transformation collection","location" : {"line" : 214,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 7,"comment" : "LargestImageOfMovedPoint: for a partial perm","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "LargestImageOfMovedPoint: for a transformation","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["LARGEST_IMAGE_PT"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LargestImageOfMovedPoint)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LargestImageOfMovedPoint): system setter","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LargestImageOfMovedPoint): default method, does nothing","location" : {"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLargestImageOfMovedPoint"]},{"name" : "Tester(LargestImageOfMovedPoint)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLargestImageOfMovedPoint"]},{"name" : "SmallestImageOfMovedPoint","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["CategoryCollections(IsTransformation)"]],[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "SmallestImageOfMovedPoint: system getter","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(SmallestImageOfMovedPoint)"]]},{"rank" : 23,"comment" : "SmallestImageOfMovedPoint: for a partial perm semigroup","location" : {"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "SmallestImageOfMovedPoint: for a transformation semigroup","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "SmallestImageOfMovedPoint: for a partial perm collection","location" : {"line" : 760,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 13,"comment" : "SmallestImageOfMovedPoint: for a transformation collection","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]},{"rank" : 7,"comment" : "SmallestImageOfMovedPoint: for a partial perm","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "SmallestImageOfMovedPoint: for a transformation","location" : {"line" : 195,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SmallestImageOfMovedPoint)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]],[["CategoryCollections(IsTransformation)"],[]],[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SmallestImageOfMovedPoint): system setter","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SmallestImageOfMovedPoint): default method, does nothing","location" : {"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSmallestImageOfMovedPoint"]},{"name" : "Tester(SmallestImageOfMovedPoint)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSmallestImageOfMovedPoint"]},{"name" : "RankOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["IsTransformation"],["IsInt","IsPosRat"]],[["IsTransformation"],["IsZeroCyc"]],[["IsTransformation"],["IsList"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "RankOfTransformation: system getter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankOfTransformation)"]]},{"rank" : 7,"comment" : "RankOfTransformation: for a transformation","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["RANK_TRANS"]}],"2args" : [{"rank" : 28,"comment" : "RankOfTransformation: for a transformation and zero","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsZeroCyc"]],"aka" : ["RANK_TRANS_INT"]},{"rank" : 26,"comment" : "RankOfTransformation: for a transformation and pos int","location" : {"line" : 165,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]]},{"rank" : 10,"comment" : "RankOfTransformation: for a transformation and dense list","location" : {"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsDenseList"]],"aka" : ["RANK_TRANS_LIST"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RankOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankOfTransformation): system setter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankOfTransformation): default method, does nothing","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankOfTransformation"]},{"name" : "Tester(RankOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankOfTransformation"]},{"name" : "AsBinaryRelation","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "AsBinaryRelation: for a transformation","location" : {"line" : 672,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsBinaryRelation","BinaryRelationTransformation"]},{"name" : "AsPermutation","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "AsPermutation: system getter","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsPermutation)"]]},{"rank" : 12,"comment" : "AsPermutation: for binary relations on points","location" : {"line" : 2185,"file" : "\/home\/makx\/ac\/gap\/lib\/relation.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 7,"comment" : "AsPermutation: for a partial perm","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["AS_PERM_PPERM"]},{"rank" : 7,"comment" : "AsPermutation: for a transformation","location" : {"line" : 259,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["AS_PERM_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsPermutation)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],[]]],"locations" : [{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsPermutation): system setter","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsPermutation): default method, does nothing","location" : {"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsPermutation"]},{"name" : "Tester(AsPermutation)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsPermutation"]},{"name" : "AsTransformation","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]],[["IsAssociativeElement"],["IsInt"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "AsTransformation: system getter","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(AsTransformation)"]]},{"rank" : 12,"comment" : "AsTransformation: for binary relations on points","location" : {"line" : 664,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsBinaryRelationOnPointsRep"]]},{"rank" : 8,"comment" : "AsTransformation: for a permutation","location" : {"line" : 262,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsPerm"]],"aka" : ["AS_TRANS_PERM"]},{"rank" : 7,"comment" : "AsTransformation: for a partial perm","location" : {"line" : 297,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]]},{"rank" : 7,"comment" : "AsTransformation: for a transformation","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 26,"comment" : "AsTransformation: for a partial perm and positive integer","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "AsTransformation: for a permutation and positive integer","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsPerm"],["IsInt"]],"aka" : ["AS_TRANS_PERM_INT"]},{"rank" : 25,"comment" : "AsTransformation: for a transformation and degree","location" : {"line" : 271,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt"]],"aka" : ["AS_TRANS_TRANS"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AsTransformation)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],[]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AsTransformation): system setter","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AsTransformation): default method, does nothing","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAsTransformation"]},{"name" : "Tester(AsTransformation)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAsTransformation"]},{"name" : "ConstantTransformation","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "ConstantTransformation: for a pos int and pos int","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ConstantTransformation"]},{"name" : "DegreeOfTransformationCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)"]]],"locations" : [{"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "DegreeOfTransformationCollection: system getter","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfTransformationCollection)"]]},{"rank" : 13,"comment" : "DegreeOfTransformationCollection: for a transformation collection","location" : {"line" : 288,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsTransformation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfTransformationCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)"],[]]],"locations" : [{"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfTransformationCollection): system setter","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfTransformationCollection): default method, does nothing","location" : {"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfTransformationCollection"]},{"name" : "Tester(DegreeOfTransformationCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)"]]],"locations" : [{"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfTransformationCollection"]},{"name" : "FlatKernelOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["IsTransformation"],["IsInt"]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "FlatKernelOfTransformation: system getter","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(FlatKernelOfTransformation)"]]},{"rank" : 7,"comment" : "FlatKernelOfTransformation: for a transformation","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 25,"comment" : "FlatKernelOfTransformation: for a transformation and pos int","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt"]],"aka" : ["FLAT_KERNEL_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FlatKernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FlatKernelOfTransformation): system setter","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FlatKernelOfTransformation): default method, does nothing","location" : {"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFlatKernelOfTransformation"]},{"name" : "Tester(FlatKernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFlatKernelOfTransformation"]},{"name" : "IsFlatKernelOfTransformation","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "IsFlatKernelOfTransformation: system getter","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFlatKernelOfTransformation)"]]},{"rank" : 4,"comment" : "IsFlatKernelOfTransformation: for a homogeneous list","location" : {"line" : 307,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFlatKernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsBool"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFlatKernelOfTransformation): system setter","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFlatKernelOfTransformation): default method, does nothing","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFlatKernelOfTransformation"]},{"name" : "Tester(IsFlatKernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ImageListOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsInt"]],[["IsTransformation"]]],"locations" : [{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "ImageListOfTransformation: for a transformation","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 25,"comment" : "ImageListOfTransformation: for a transformation and pos int","location" : {"line" : 322,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt"]],"aka" : ["IMAGE_LIST_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ImageListOfTransformation","ListTransformation"]},{"name" : "ImageSetOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["IsTransformation"],["IsInt"]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ImageSetOfTransformation: system getter","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImageSetOfTransformation)"]]},{"rank" : 7,"comment" : "ImageSetOfTransformation: for a transformation","location" : {"line" : 316,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 25,"comment" : "ImageSetOfTransformation: for a transformation and pos int","location" : {"line" : 319,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt"]],"aka" : ["IMAGE_SET_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImageSetOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImageSetOfTransformation): system setter","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImageSetOfTransformation): default method, does nothing","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImageSetOfTransformation"]},{"name" : "Tester(ImageSetOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImageSetOfTransformation"]},{"name" : "KernelOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["IsTransformation"],["IsInt","IsPosRat"],["IsBool"]],[["IsTransformation"],["IsInt","IsPosRat"]],[["IsTransformation"],["IsZeroCyc"]],[["IsTransformation"],["IsBool"]]],"locations" : [{"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "KernelOfTransformation: system getter","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(KernelOfTransformation)"]]},{"rank" : 7,"comment" : "KernelOfTransformation: for a transformation","location" : {"line" : 331,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 26,"comment" : "KernelOfTransformation: for a transformation and pos int","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]],"aka" : ["KERNEL_TRANS"]},{"rank" : 8,"comment" : "KernelOfTransformation: for a transformation and pos int","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsBool"]]}],"3args" : [{"rank" : 27,"comment" : "KernelOfTransformation: for a transformation, positive integer and boolean","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"],["IsBool"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KernelOfTransformation): system setter","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KernelOfTransformation): default method, does nothing","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKernelOfTransformation"]},{"name" : "Tester(KernelOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasKernelOfTransformation"]},{"name" : "PermLeftQuoTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsTransformation"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 14,"comment" : "PermLeftQuoTransformation: for a transformation and transformation","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsTransformation"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermLeftQuoTransformation"]},{"name" : "PreImagesOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "PreImagesOfTransformation: for a transformation and positive integer","location" : {"line" : 372,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]],"aka" : ["PREIMAGES_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreImagesOfTransformation","PreimagesOfTransformation"]},{"name" : "RandomTransformation","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]],[["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "RandomTransformation: for a pos. int.","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [{"rank" : 38,"comment" : "RandomTransformation: for pos int and pos int","location" : {"line" : 487,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RandomTransformation"]},{"name" : "SmallestIdempotentPower","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "SmallestIdempotentPower: system getter","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(SmallestIdempotentPower)"]]},{"rank" : 7,"comment" : "SmallestIdempotentPower: for a partial perm","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["SMALLEST_IDEM_POW_PPERM"]},{"rank" : 7,"comment" : "SmallestIdempotentPower: for a transformation","location" : {"line" : 490,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["SMALLEST_IDEM_POW_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SmallestIdempotentPower)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],[]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SmallestIdempotentPower): system setter","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SmallestIdempotentPower): default method, does nothing","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSmallestIdempotentPower"]},{"name" : "Tester(SmallestIdempotentPower)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSmallestIdempotentPower"]},{"name" : "TrimTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsInt","IsPosRat"]],[["IsTransformation"]]],"locations" : [{"line" : 94,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "TrimTransformation: for a transformation","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 26,"comment" : "TrimTransformation: for a transformation and pos int","location" : {"line" : 139,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]],"aka" : ["TRIM_TRANS"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TrimTransformation"]},{"name" : "Idempotent","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsCyclotomic)"],["CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "Idempotent: for a list of pos ints and list of pos ints","location" : {"line" : 517,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["CategoryCollections(IsCyclotomic)"],["CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Idempotent"]},{"name" : "TransformationOp","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]],[[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]],[[],["IsList"]],[[],["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 102,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "TransformationOp: for an obj and domain","location" : {"line" : 568,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "TransformationOp: for an obj and list","location" : {"line" : 562,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsList"]]}],"3args" : [{"rank" : 6,"comment" : "TransformationOp: for an obj, domain, and function","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]},{"rank" : 3,"comment" : "TransformationOp: for object, list, function","location" : {"line" : 556,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformationOp"]},{"name" : "TransformationOpNC","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]],[[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]],[[],["IsList"]],[[],["IsCollection","IsGeneralizedDomain"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "TransformationOpNC: for object and domain","location" : {"line" : 622,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "TransformationOpNC: for object and list","location" : {"line" : 616,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsList"]]}],"3args" : [{"rank" : 6,"comment" : "TransformationOpNC: for object, domain, function","location" : {"line" : 628,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]},{"rank" : 3,"comment" : "TransformationOpNC: for object, list, function","location" : {"line" : 610,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformationOpNC"]},{"name" : "ComponentRepsOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ComponentRepsOfTransformation: system getter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComponentRepsOfTransformation)"]]},{"rank" : 7,"comment" : "ComponentRepsOfTransformation: for a transformation","location" : {"line" : 236,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["COMPONENT_REPS_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComponentRepsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComponentRepsOfTransformation): system setter","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComponentRepsOfTransformation): default method, does nothing","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComponentRepsOfTransformation"]},{"name" : "Tester(ComponentRepsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComponentRepsOfTransformation"]},{"name" : "NrComponentsOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "NrComponentsOfTransformation: system getter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrComponentsOfTransformation)"]]},{"rank" : 7,"comment" : "NrComponentsOfTransformation: for a transformation","location" : {"line" : 233,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["NR_COMPONENTS_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrComponentsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrComponentsOfTransformation): system setter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrComponentsOfTransformation): default method, does nothing","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrComponentsOfTransformation"]},{"name" : "Tester(NrComponentsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrComponentsOfTransformation"]},{"name" : "ComponentsOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ComponentsOfTransformation: system getter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComponentsOfTransformation)"]]},{"rank" : 7,"comment" : "ComponentsOfTransformation: for a transformation","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["COMPONENTS_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComponentsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComponentsOfTransformation): system setter","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComponentsOfTransformation): default method, does nothing","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComponentsOfTransformation"]},{"name" : "Tester(ComponentsOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComponentsOfTransformation"]},{"name" : "ComponentTransformationInt","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "ComponentTransformationInt: for a transformation and positive integer","location" : {"line" : 240,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]],"aka" : ["COMPONENT_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComponentTransformationInt"]},{"name" : "CycleTransformationInt","type" : "GAP_Operation","filters" : [[["IsTransformation"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "CycleTransformationInt: for a transformation and positive integer","location" : {"line" : 244,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]],"aka" : ["CYCLE_TRANS_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CycleTransformationInt"]},{"name" : "CyclesOfTransformation","type" : "GAP_Operation","filters" : [[["IsTransformation"]],[["IsTransformation"],["IsList"]]],"locations" : [{"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "CyclesOfTransformation: system getter","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(CyclesOfTransformation)"]]},{"rank" : 7,"comment" : "CyclesOfTransformation: for a transformation","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["CYCLES_TRANS"]}],"2args" : [{"rank" : 9,"comment" : "CyclesOfTransformation: for a transformation and list","location" : {"line" : 250,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"],["IsList"]],"aka" : ["CYCLES_TRANS_LIST"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CyclesOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"],[]]],"locations" : [{"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CyclesOfTransformation): system setter","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CyclesOfTransformation): default method, does nothing","location" : {"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCyclesOfTransformation"]},{"name" : "Tester(CyclesOfTransformation)","type" : "GAP_Operation","filters" : [[["IsTransformation"]]],"locations" : [{"line" : 115,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCyclesOfTransformation"]},{"name" : "LeftOne","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "LeftOne: system getter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(LeftOne)"]]},{"rank" : 7,"comment" : "LeftOne: for a partial perm","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["LEFT_ONE_PPERM"]},{"rank" : 7,"comment" : "LeftOne: for a transformation","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["LEFT_ONE_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LeftOne)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],[]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LeftOne): system setter","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LeftOne): default method, does nothing","location" : {"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLeftOne"]},{"name" : "Tester(LeftOne)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 118,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLeftOne"]},{"name" : "RightOne","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "RightOne: system getter","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep","Tester(RightOne)"]]},{"rank" : 7,"comment" : "RightOne: for a partial perm","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["RIGHT_ONE_PPERM"]},{"rank" : 7,"comment" : "RightOne: for a transformation","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsTransformation"]],"aka" : ["RIGHT_ONE_TRANS"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RightOne)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],[]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RightOne): system setter","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RightOne): default method, does nothing","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRightOne"]},{"name" : "Tester(RightOne)","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"]]],"locations" : [{"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRightOne"]},{"name" : "OnKernelAntiAction","type" : "GAP_Operation","filters" : [[["IsList"],["IsTransformation"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 11,"comment" : "OnKernelAntiAction: for a list and transformation","location" : {"line" : 159,"file" : "\/home\/makx\/ac\/gap\/lib\/trans.gi"},"filters" : [["IsHomogeneousList"],["IsTransformation"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OnKernelAntiAction"]},{"name" : "DomainOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "DomainOfPartialPerm: system getter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(DomainOfPartialPerm)"]]},{"rank" : 7,"comment" : "DomainOfPartialPerm: for a partial perm","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["DOMAIN_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DomainOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DomainOfPartialPerm): system setter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DomainOfPartialPerm): default method, does nothing","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDomainOfPartialPerm"]},{"name" : "Tester(DomainOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDomainOfPartialPerm"]},{"name" : "ImageListOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ImageListOfPartialPerm: system getter","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImageListOfPartialPerm)"]]},{"rank" : 7,"comment" : "ImageListOfPartialPerm: for a partial perm","location" : {"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["IMAGE_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImageListOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImageListOfPartialPerm): system setter","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImageListOfPartialPerm): default method, does nothing","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImageListOfPartialPerm"]},{"name" : "Tester(ImageListOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImageListOfPartialPerm"]},{"name" : "ImageSetOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ImageSetOfPartialPerm: system getter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImageSetOfPartialPerm)"]]},{"rank" : 7,"comment" : "ImageSetOfPartialPerm: for a partial perm","location" : {"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["IMAGE_SET_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImageSetOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImageSetOfPartialPerm): system setter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImageSetOfPartialPerm): default method, does nothing","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImageSetOfPartialPerm"]},{"name" : "Tester(ImageSetOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImageSetOfPartialPerm"]},{"name" : "IndexPeriodOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "IndexPeriodOfPartialPerm: system getter","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(IndexPeriodOfPartialPerm)"]]},{"rank" : 7,"comment" : "IndexPeriodOfPartialPerm: for a partial perm","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["INDEX_PERIOD_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IndexPeriodOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IndexPeriodOfPartialPerm): system setter","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IndexPeriodOfPartialPerm): default method, does nothing","location" : {"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIndexPeriodOfPartialPerm"]},{"name" : "Tester(IndexPeriodOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIndexPeriodOfPartialPerm"]},{"name" : "ComponentRepsOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ComponentRepsOfPartialPerm: system getter","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComponentRepsOfPartialPerm)"]]},{"rank" : 7,"comment" : "ComponentRepsOfPartialPerm: for a partial perm","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["COMPONENT_REPS_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComponentRepsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComponentRepsOfPartialPerm): system setter","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComponentRepsOfPartialPerm): default method, does nothing","location" : {"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComponentRepsOfPartialPerm"]},{"name" : "Tester(ComponentRepsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComponentRepsOfPartialPerm"]},{"name" : "NrComponentsOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "NrComponentsOfPartialPerm: system getter","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrComponentsOfPartialPerm)"]]},{"rank" : 7,"comment" : "NrComponentsOfPartialPerm: for a partial perm","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["NR_COMPONENTS_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrComponentsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrComponentsOfPartialPerm): system setter","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrComponentsOfPartialPerm): default method, does nothing","location" : {"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrComponentsOfPartialPerm"]},{"name" : "Tester(NrComponentsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrComponentsOfPartialPerm"]},{"name" : "ComponentsOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "ComponentsOfPartialPerm: system getter","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComponentsOfPartialPerm)"]]},{"rank" : 7,"comment" : "ComponentsOfPartialPerm: for a partial perm","location" : {"line" : 41,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["COMPONENTS_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComponentsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]]],"locations" : [{"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComponentsOfPartialPerm): system setter","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComponentsOfPartialPerm): default method, does nothing","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComponentsOfPartialPerm"]},{"name" : "Tester(ComponentsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 36,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComponentsOfPartialPerm"]},{"name" : "FixedPointsOfPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "FixedPointsOfPartialPerm: system getter","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(FixedPointsOfPartialPerm)"]]},{"rank" : 23,"comment" : "FixedPointsOfPartialPerm: for a partial perm semigroup","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "FixedPointsOfPartialPerm: for a partial perm coll","location" : {"line" : 737,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 7,"comment" : "FixedPointsOfPartialPerm: for a partial perm","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["FIXED_PTS_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FixedPointsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FixedPointsOfPartialPerm): system setter","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FixedPointsOfPartialPerm): default method, does nothing","location" : {"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFixedPointsOfPartialPerm"]},{"name" : "Tester(FixedPointsOfPartialPerm)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFixedPointsOfPartialPerm"]},{"name" : "NrFixedPoints","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]],[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "NrFixedPoints: system getter","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrFixedPoints)"]]},{"rank" : 23,"comment" : "NrFixedPoints: for a partial perm semigroup","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "NrFixedPoints: for a partial perm coll","location" : {"line" : 743,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]},{"rank" : 7,"comment" : "NrFixedPoints: for a partial perm","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["NR_FIXED_PTS_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrFixedPoints)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],[]],[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrFixedPoints): system setter","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrFixedPoints): default method, does nothing","location" : {"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrFixedPoints"]},{"name" : "Tester(NrFixedPoints)","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrFixedPoints"]},{"name" : "PreImagePartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 55,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "PreImagePartialPerm: for a partial perm and positive integer","location" : {"line" : 116,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsInt","IsPosRat"]],"aka" : ["PREIMAGE_PPERM_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PreImagePartialPerm"]},{"name" : "ComponentPartialPermInt","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "ComponentPartialPermInt: for a partial perm and positive integer","location" : {"line" : 122,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsInt","IsPosRat"]],"aka" : ["COMPONENT_PPERM_INT"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ComponentPartialPermInt"]},{"name" : "AsPartialPerm","type" : "GAP_Operation","filters" : [[["IsAssociativeElement"],["IsList"]],[["IsAssociativeElement"]],[["IsAssociativeElement"],["IsInt","IsPosRat"]],[["IsAssociativeElement"],["IsZeroCyc"]]],"locations" : [{"line" : 57,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 60,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 8,"comment" : "AsPartialPerm: for a perm","location" : {"line" : 205,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPerm"]]},{"rank" : 7,"comment" : "AsPartialPerm: for a transformation","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsTransformation"]]}],"2args" : [{"rank" : 29,"comment" : "AsPartialPerm: for a perm and zero","location" : {"line" : 221,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPerm"],["IsZeroCyc"]]},{"rank" : 27,"comment" : "AsPartialPerm: for a perm and pos int","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPerm"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "AsPartialPerm: for a transformation and positive int","location" : {"line" : 247,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsTransformation"],["IsInt","IsPosRat"]]},{"rank" : 10,"comment" : "AsPartialPerm: for a perm and a list","location" : {"line" : 200,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPerm"],["IsList"]]},{"rank" : 9,"comment" : "AsPartialPerm: for a transformation and list","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsTransformation"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AsPartialPerm"]},{"name" : "RestrictedPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],["IsList"]],[["IsPartialPerm"]]],"locations" : [{"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "RestrictedPartialPerm: for a partial perm","location" : {"line" : 311,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedPartialPerm"]},{"name" : "PermLeftQuoPartialPermNC","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],["IsPartialPerm"]]],"locations" : [{"line" : 66,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 14,"comment" : "PermLeftQuoPartialPermNC: for a partial perm and partial perm","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsPartialPerm"]],"aka" : ["PERM_LEFT_QUO_PPERM_NC"]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermLeftQuoPartialPermNC"]},{"name" : "PermLeftQuoPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"],["IsPartialPerm"]]],"locations" : [{"line" : 67,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 14,"comment" : "PermLeftQuoPartialPerm: for a partial perm and partial perm","location" : {"line" : 335,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"],["IsPartialPerm"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermLeftQuoPartialPerm"]},{"name" : "TrimPartialPerm","type" : "GAP_Operation","filters" : [[["IsPartialPerm"]]],"locations" : [{"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "TrimPartialPerm: for a partial perm","location" : {"line" : 340,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["IsPartialPerm"]],"aka" : ["TRIM_PPERM"]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TrimPartialPerm"]},{"name" : "PartialPermOp","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]],[[],["IsList"]],[[],["IsCollection","IsGeneralizedDomain"]],[[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 70,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 72,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "PartialPermOp: for an obj and domain","location" : {"line" : 405,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "PartialPermOp: for an obj and list","location" : {"line" : 397,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsList"]]}],"3args" : [{"rank" : 6,"comment" : "PartialPermOp: for an obj, domain, and function","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]},{"rank" : 3,"comment" : "PartialPermOp: for object, list, function","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PartialPermOp"]},{"name" : "PartialPermOpNC","type" : "GAP_Operation","filters" : [[[],["IsList"],["IsFunction"]],[[],["IsList"]],[[],["IsCollection","IsGeneralizedDomain"]],[[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]],"locations" : [{"line" : 74,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 76,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "PartialPermOpNC: for an obj and domain","location" : {"line" : 472,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"]]},{"rank" : 2,"comment" : "PartialPermOpNC: for an obj and list","location" : {"line" : 464,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsList"]]}],"3args" : [{"rank" : 6,"comment" : "PartialPermOpNC: for an obj, domain, and function","location" : {"line" : 480,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsCollection","IsGeneralizedDomain"],["IsFunction"]]},{"rank" : 3,"comment" : "PartialPermOpNC: for object, list, function","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [[],["IsList"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PartialPermOpNC"]},{"name" : "DegreeOfPartialPermCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "DegreeOfPartialPermCollection: system getter","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfPartialPermCollection)"]]},{"rank" : 24,"comment" : "DegreeOfPartialPermCollection: for a partial perm semigroup","location" : {"line" : 68,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "DegreeOfPartialPermCollection: for a partial perm collection","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfPartialPermCollection): system setter","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfPartialPermCollection): default method, does nothing","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfPartialPermCollection"]},{"name" : "Tester(DegreeOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfPartialPermCollection"]},{"name" : "CodegreeOfPartialPermCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "CodegreeOfPartialPermCollection: system getter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(CodegreeOfPartialPermCollection)"]]},{"rank" : 24,"comment" : "CodegreeOfPartialPermCollection: for a partial perm semigroup with generators","location" : {"line" : 78,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "CodegreeOfPartialPermCollection: for a partial perm collection","location" : {"line" : 724,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CodegreeOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CodegreeOfPartialPermCollection): system setter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CodegreeOfPartialPermCollection): default method, does nothing","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCodegreeOfPartialPermCollection"]},{"name" : "Tester(CodegreeOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCodegreeOfPartialPermCollection"]},{"name" : "RankOfPartialPermCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "RankOfPartialPermCollection: system getter","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankOfPartialPermCollection)"]]},{"rank" : 24,"comment" : "RankOfPartialPermCollection: for a partial perm semigroup","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "RankOfPartialPermCollection: for a partial perm collection","location" : {"line" : 728,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RankOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankOfPartialPermCollection): system setter","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankOfPartialPermCollection): default method, does nothing","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankOfPartialPermCollection"]},{"name" : "Tester(RankOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankOfPartialPermCollection"]},{"name" : "DomainOfPartialPermCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "DomainOfPartialPermCollection: system getter","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(DomainOfPartialPermCollection)"]]},{"rank" : 23,"comment" : "DomainOfPartialPermCollection: for a partal perm semigroup","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "DomainOfPartialPermCollection: for a partial perm coll","location" : {"line" : 731,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DomainOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DomainOfPartialPermCollection): system setter","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DomainOfPartialPermCollection): default method, does nothing","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDomainOfPartialPermCollection"]},{"name" : "Tester(DomainOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDomainOfPartialPermCollection"]},{"name" : "ImageOfPartialPermCollection","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "ImageOfPartialPermCollection: system getter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(ImageOfPartialPermCollection)"]]},{"rank" : 23,"comment" : "ImageOfPartialPermCollection: for a partal perm semigroup","location" : {"line" : 108,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "ImageOfPartialPermCollection: for a partial perm coll","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ImageOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"],[]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ImageOfPartialPermCollection): system setter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ImageOfPartialPermCollection): default method, does nothing","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetImageOfPartialPermCollection"]},{"name" : "Tester(ImageOfPartialPermCollection)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/pperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasImageOfPartialPermCollection"]},{"name" : "TransformationRepresentation","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "TransformationRepresentation: system getter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"},"filters" : [["IsAttributeStoringRep","Tester(TransformationRepresentation)"]]},{"rank" : 16,"comment" : "TransformationRepresentation: for an endo general mapping","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsTransformationRepOfEndo"]]},{"rank" : 13,"comment" : "TransformationRepresentation: for an endo general mapping","location" : {"line" : 81,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gi"},"filters" : [["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]},{"rank" : 0,"comment" : "TransformationRepresentation: default method requiring categories and checking properties","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TransformationRepresentation)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"],[]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TransformationRepresentation): system setter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TransformationRepresentation): default method, does nothing","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTransformationRepresentation"]},{"name" : "Tester(TransformationRepresentation)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/fastendo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTransformationRepresentation"]},{"name" : "FpSemigroupOfElementOfFpSemigroup","type" : "GAP_Operation","filters" : [[["IsElementOfFpSemigroup"]]],"locations" : [{"line" : 45,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "FpSemigroupOfElementOfFpSemigroup: for an element of an fp semigroup","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FpSemigroupOfElementOfFpSemigroup"]},{"name" : "ElementOfFpSemigroup","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpSemigroup)"],["IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 149,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 7,"comment" : "ElementOfFpSemigroup: for a family of f.p. semigroup elements, and an assoc. word","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["CategoryFamily(IsElementOfFpSemigroup)"],["IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementOfFpSemigroup"]},{"name" : "FreeGeneratorsOfFpSemigroup","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "FreeGeneratorsOfFpSemigroup: system getter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeGeneratorsOfFpSemigroup)"]]},{"rank" : 19,"comment" : "FreeGeneratorsOfFpSemigroup: for a finitely presented semigroup","location" : {"line" : 284,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : -5,"comment" : "FreeGeneratorsOfFpSemigroup: default method requiring categories and checking properties","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsMagma","CategoryCollections(IsElementOfFpSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeGeneratorsOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],[]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeGeneratorsOfFpSemigroup): system setter","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeGeneratorsOfFpSemigroup): default method, does nothing","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeGeneratorsOfFpSemigroup"]},{"name" : "Tester(FreeGeneratorsOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeGeneratorsOfFpSemigroup"]},{"name" : "FreeSemigroupOfFpSemigroup","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "FreeSemigroupOfFpSemigroup: system getter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeSemigroupOfFpSemigroup)"]]},{"rank" : 19,"comment" : "FreeSemigroupOfFpSemigroup: for a finitely presented semigroup","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : -5,"comment" : "FreeSemigroupOfFpSemigroup: default method requiring categories and checking properties","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsMagma","CategoryCollections(IsElementOfFpSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeSemigroupOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],[]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeSemigroupOfFpSemigroup): system setter","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeSemigroupOfFpSemigroup): default method, does nothing","location" : {"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeSemigroupOfFpSemigroup"]},{"name" : "Tester(FreeSemigroupOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 204,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeSemigroupOfFpSemigroup"]},{"name" : "RelationsOfFpSemigroup","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "RelationsOfFpSemigroup: system getter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelationsOfFpSemigroup)"]]},{"rank" : 20,"comment" : "RelationsOfFpSemigroup: method for a free semigroup","location" : {"line" : 321,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 19,"comment" : "RelationsOfFpSemigroup: for finitely presented semigroup","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : -5,"comment" : "RelationsOfFpSemigroup: default method requiring categories and checking properties","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsMagma","CategoryCollections(IsElementOfFpSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelationsOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],[]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RelationsOfFpSemigroup): system setter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelationsOfFpSemigroup): default method, does nothing","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelationsOfFpSemigroup"]},{"name" : "Tester(RelationsOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelationsOfFpSemigroup"]},{"name" : "IsomorphismFpSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismFpSemigroup: system getter","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismFpSemigroup)"]]},{"rank" : 38,"comment" : "IsomorphismFpSemigroup: for fp groups","location" : {"line" : 4673,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]]},{"rank" : 24,"comment" : "IsomorphismFpSemigroup: for an fp monoid","location" : {"line" : 511,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : 0,"comment" : "IsomorphismFpSemigroup: default method requiring categories and checking properties","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismFpSemigroup): system setter","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismFpSemigroup): default method, does nothing","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismFpSemigroup"]},{"name" : "Tester(IsomorphismFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismFpSemigroup"]},{"name" : "FpGrpMonSmgOfFpGrpMonSmgElement","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement"]]],"locations" : [{"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "FpGrpMonSmgOfFpGrpMonSmgElement: for an element of an fp group","location" : {"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsElementOfFpGroup"]]},{"rank" : 6,"comment" : "FpGrpMonSmgOfFpGrpMonSmgElement: for an element of an fp monoid","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]},{"rank" : 5,"comment" : "FpGrpMonSmgOfFpGrpMonSmgElement: for an element of an fp semigroup","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/fpsemi.gi"},"filters" : [["IsElementOfFpSemigroup"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FpGrpMonSmgOfFpGrpMonSmgElement"]},{"name" : "ElementOfFpMonoid","type" : "GAP_Operation","filters" : [[["CategoryFamily(IsElementOfFpMonoid)"],["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord"]]],"locations" : [{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "ElementOfFpMonoid: for a family of f.p. monoid elements, and an assoc. word","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["CategoryFamily(IsElementOfFpMonoid)"],["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ElementOfFpMonoid"]},{"name" : "FpMonoidOfElementOfFpMonoid","type" : "GAP_Operation","filters" : [[["IsElementOfFpMonoid"]]],"locations" : [{"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 6,"comment" : "FpMonoidOfElementOfFpMonoid: for an fp monoid element","location" : {"line" : 145,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsElementOfFpMonoid"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FpMonoidOfElementOfFpMonoid"]},{"name" : "FreeGeneratorsOfFpMonoid","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "FreeGeneratorsOfFpMonoid: system getter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeGeneratorsOfFpMonoid)"]]},{"rank" : 24,"comment" : "FreeGeneratorsOfFpMonoid: for a finitely presented monoid","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : -4,"comment" : "FreeGeneratorsOfFpMonoid: default method requiring categories and checking properties","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsMagmaWithOne","CategoryCollections(IsElementOfFpMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeGeneratorsOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],[]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeGeneratorsOfFpMonoid): system setter","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeGeneratorsOfFpMonoid): default method, does nothing","location" : {"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeGeneratorsOfFpMonoid"]},{"name" : "Tester(FreeGeneratorsOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 164,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeGeneratorsOfFpMonoid"]},{"name" : "FreeMonoidOfFpMonoid","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "FreeMonoidOfFpMonoid: system getter","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeMonoidOfFpMonoid)"]]},{"rank" : 24,"comment" : "FreeMonoidOfFpMonoid: for a finitely presented monoid","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : -4,"comment" : "FreeMonoidOfFpMonoid: default method requiring categories and checking properties","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsMagmaWithOne","CategoryCollections(IsElementOfFpMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeMonoidOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],[]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeMonoidOfFpMonoid): system setter","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeMonoidOfFpMonoid): default method, does nothing","location" : {"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeMonoidOfFpMonoid"]},{"name" : "Tester(FreeMonoidOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 182,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeMonoidOfFpMonoid"]},{"name" : "RelationsOfFpMonoid","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20026,"comment" : "RelationsOfFpMonoid: system getter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep","Tester(RelationsOfFpMonoid)"]]},{"rank" : 26,"comment" : "RelationsOfFpMonoid: method for a free monoid","location" : {"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsFreeMonoid","Tester(IsFreeMonoid)"]]},{"rank" : 24,"comment" : "RelationsOfFpMonoid: for finitely presented monoid","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : -4,"comment" : "RelationsOfFpMonoid: default method requiring categories and checking properties","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsMagmaWithOne","CategoryCollections(IsElementOfFpMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RelationsOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],[]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RelationsOfFpMonoid): system setter","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RelationsOfFpMonoid): default method, does nothing","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRelationsOfFpMonoid"]},{"name" : "Tester(RelationsOfFpMonoid)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]],"locations" : [{"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRelationsOfFpMonoid"]},{"name" : "IsomorphismFpMonoid","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "IsomorphismFpMonoid: system getter","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismFpMonoid)"]]},{"rank" : 38,"comment" : "IsomorphismFpMonoid: for an fp group","location" : {"line" : 4790,"file" : "\/home\/makx\/ac\/gap\/lib\/grpfp.gi"},"filters" : [["IsGroupOfFamily","IsSubgroupFpGroup"]],"aka" : ["IsomorphismFpMonoidGeneratorsFirst"]},{"rank" : 0,"comment" : "IsomorphismFpMonoid: default method requiring categories and checking properties","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsMagmaWithOne"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismFpMonoid)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismFpMonoid): system setter","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismFpMonoid): default method, does nothing","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismFpMonoid"]},{"name" : "Tester(IsomorphismFpMonoid)","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/fpmon.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismFpMonoid"]},{"name" : "ReducedConfluentRewritingSystem","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "ReducedConfluentRewritingSystem: system getter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep","Tester(ReducedConfluentRewritingSystem)"]]},{"rank" : 24,"comment" : "ReducedConfluentRewritingSystem: for an fp monoid","location" : {"line" : 75,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : 19,"comment" : "ReducedConfluentRewritingSystem: for an fp semigroup","location" : {"line" : 64,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : 0,"comment" : "ReducedConfluentRewritingSystem: default method requiring categories and checking properties","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsMagma"]]}],"2args" : [{"rank" : 25,"comment" : "ReducedConfluentRewritingSystem: for an fp monoid and an ordering on the underlying free monoid","location" : {"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],["IsOrdering"]]},{"rank" : 20,"comment" : "ReducedConfluentRewritingSystem: for an fp semigroup and an order on the underlying free semigroup","location" : {"line" : 163,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsFunction"]]},{"rank" : 20,"comment" : "ReducedConfluentRewritingSystem: for an fp semigroup and an ordering on the underlying free semigroup","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsOrdering"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ReducedConfluentRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ReducedConfluentRewritingSystem): system setter","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ReducedConfluentRewritingSystem): default method, does nothing","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetReducedConfluentRewritingSystem"]},{"name" : "Tester(ReducedConfluentRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasReducedConfluentRewritingSystem"]},{"name" : "FreeMonoidOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FreeMonoidOfRewritingSystem: system getter","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeMonoidOfRewritingSystem)"]]},{"rank" : 4,"comment" : "FreeMonoidOfRewritingSystem: for a monoid rewriting system","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromMonoid","Tester(IsBuiltFromMonoid)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeMonoidOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeMonoidOfRewritingSystem): system setter","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeMonoidOfRewritingSystem): default method, does nothing","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeMonoidOfRewritingSystem"]},{"name" : "Tester(FreeMonoidOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeMonoidOfRewritingSystem"]},{"name" : "FamilyForRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FamilyForRewritingSystem: system getter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep","Tester(FamilyForRewritingSystem)"]]},{"rank" : 5,"comment" : "FamilyForRewritingSystem: for a Knuth Bendix rewriting system","location" : {"line" : 746,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FamilyForRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FamilyForRewritingSystem): system setter","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FamilyForRewritingSystem): default method, does nothing","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFamilyForRewritingSystem"]},{"name" : "Tester(FamilyForRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFamilyForRewritingSystem"]},{"name" : "FreeSemigroupOfRewritingSystem","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20005,"comment" : "FreeSemigroupOfRewritingSystem: system getter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep","Tester(FreeSemigroupOfRewritingSystem)"]]},{"rank" : 4,"comment" : "FreeSemigroupOfRewritingSystem: for a semigroup rewriting system","location" : {"line" : 327,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gi"},"filters" : [["IsRewritingSystem","IsBuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FreeSemigroupOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"],[]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FreeSemigroupOfRewritingSystem): system setter","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FreeSemigroupOfRewritingSystem): default method, does nothing","location" : {"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFreeSemigroupOfRewritingSystem"]},{"name" : "Tester(FreeSemigroupOfRewritingSystem)","type" : "GAP_Operation","filters" : [[["IsRewritingSystem"]]],"locations" : [{"line" : 162,"file" : "\/home\/makx\/ac\/gap\/lib\/rwssmg.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFreeSemigroupOfRewritingSystem"]},{"name" : "KnuthBendixRewritingSystem","type" : "GAP_Operation","filters" : [[["IsFamily"],["IsOrdering"]]],"locations" : [{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 24,"comment" : "KnuthBendixRewritingSystem: for an fp monoid","location" : {"line" : 641,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]]},{"rank" : 19,"comment" : "KnuthBendixRewritingSystem: for an fp semigroup","location" : {"line" : 650,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]}],"2args" : [{"rank" : 25,"comment" : "KnuthBendixRewritingSystem: for an fp monoid and a function","location" : {"line" : 624,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],["IsFunction"]]},{"rank" : 25,"comment" : "KnuthBendixRewritingSystem: for an fp monoid and an order on the family of words of the underlying free monoid","location" : {"line" : 600,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"],["IsOrdering"]]},{"rank" : 20,"comment" : "KnuthBendixRewritingSystem: for an fp semigroup and a function","location" : {"line" : 612,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsFunction"]]},{"rank" : 20,"comment" : "KnuthBendixRewritingSystem: for an fp semigroup and an order on the family of words of the underlying free semigroup","location" : {"line" : 590,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsOrdering"]]},{"rank" : 3,"comment" : "KnuthBendixRewritingSystem: for a family of words of an fp monoid and on ordering on that family","location" : {"line" : 580,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["CategoryFamily(IsElementOfFpMonoid)"],["IsOrdering"]]},{"rank" : 3,"comment" : "KnuthBendixRewritingSystem: for a family of words of an fp semigroup and on ordering on that family","location" : {"line" : 563,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["CategoryFamily(IsElementOfFpSemigroup)"],["IsOrdering"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["KnuthBendixRewritingSystem"]},{"name" : "TzRules","type" : "GAP_Operation","filters" : [[["IsKnuthBendixRewritingSystem"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20006,"comment" : "TzRules: system getter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(TzRules)"]]},{"rank" : 5,"comment" : "TzRules: for a Knuth Bendix rewriting system","location" : {"line" : 717,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gi"},"filters" : [["IsKnuthBendixRewritingSystem","IsKnuthBendixRewritingSystemRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TzRules)","type" : "GAP_Operation","filters" : [[["IsKnuthBendixRewritingSystem"],[]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TzRules): system setter","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TzRules): default method, does nothing","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTzRules"]},{"name" : "Tester(TzRules)","type" : "GAP_Operation","filters" : [[["IsKnuthBendixRewritingSystem"]]],"locations" : [{"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/kbsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTzRules"]},{"name" : "CosetTableOfFpSemigroup","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "CosetTableOfFpSemigroup: system getter","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"},"filters" : [["IsAttributeStoringRep","Tester(CosetTableOfFpSemigroup)"]]},{"rank" : 22,"comment" : "CosetTableOfFpSemigroup: for a right congruence on an fp semigroup","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gi"},"filters" : [["IsRightMagmaCongruence"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CosetTableOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"],[]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CosetTableOfFpSemigroup): system setter","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CosetTableOfFpSemigroup): default method, does nothing","location" : {"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCosetTableOfFpSemigroup"]},{"name" : "Tester(CosetTableOfFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsRightMagmaCongruence"]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCosetTableOfFpSemigroup"]},{"name" : "AdjoinedIdentityFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AdjoinedIdentityFamily: system getter","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdjoinedIdentityFamily)"]]},{"rank" : 1,"comment" : "AdjoinedIdentityFamily","location" : {"line" : 21,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdjoinedIdentityFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdjoinedIdentityFamily): system setter","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdjoinedIdentityFamily): default method, does nothing","location" : {"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdjoinedIdentityFamily"]},{"name" : "Tester(AdjoinedIdentityFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 14,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdjoinedIdentityFamily"]},{"name" : "UnderlyingSemigroupFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "UnderlyingSemigroupFamily: system getter","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingSemigroupFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingSemigroupFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingSemigroupFamily): system setter","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingSemigroupFamily): default method, does nothing","location" : {"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingSemigroupFamily"]},{"name" : "Tester(UnderlyingSemigroupFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 15,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingSemigroupFamily"]},{"name" : "AdjoinedIdentityDefaultType","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "AdjoinedIdentityDefaultType: system getter","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(AdjoinedIdentityDefaultType)"]]},{"rank" : 1,"comment" : "AdjoinedIdentityDefaultType","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsFamily"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AdjoinedIdentityDefaultType)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AdjoinedIdentityDefaultType): system setter","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AdjoinedIdentityDefaultType): default method, does nothing","location" : {"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAdjoinedIdentityDefaultType"]},{"name" : "Tester(AdjoinedIdentityDefaultType)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 16,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAdjoinedIdentityDefaultType"]},{"name" : "MonoidByAdjoiningIdentity","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "MonoidByAdjoiningIdentity: system getter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(MonoidByAdjoiningIdentity)"]]},{"rank" : 17,"comment" : "MonoidByAdjoiningIdentity","location" : {"line" : 1469,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "MonoidByAdjoiningIdentity","location" : {"line" : 1459,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 16,"comment" : "MonoidByAdjoiningIdentity","location" : {"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "MonoidByAdjoiningIdentity: default method requiring categories and checking properties","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MonoidByAdjoiningIdentity)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MonoidByAdjoiningIdentity): system setter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MonoidByAdjoiningIdentity): default method, does nothing","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMonoidByAdjoiningIdentity"]},{"name" : "Tester(MonoidByAdjoiningIdentity)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMonoidByAdjoiningIdentity"]},{"name" : "UnderlyingSemigroupOfMonoidByAdjoiningIdentity","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentity"]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "UnderlyingSemigroupOfMonoidByAdjoiningIdentity: system getter","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingSemigroupOfMonoidByAdjoiningIdentity)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingSemigroupOfMonoidByAdjoiningIdentity)","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentity"],[]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingSemigroupOfMonoidByAdjoiningIdentity): system setter","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingSemigroupOfMonoidByAdjoiningIdentity): default method, does nothing","location" : {"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingSemigroupOfMonoidByAdjoiningIdentity"]},{"name" : "Tester(UnderlyingSemigroupOfMonoidByAdjoiningIdentity)","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentity"]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingSemigroupOfMonoidByAdjoiningIdentity"]},{"name" : "MonoidByAdjoiningIdentityElt","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement","IsAssociativeElement"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "MonoidByAdjoiningIdentityElt: system getter","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(MonoidByAdjoiningIdentityElt)"]]},{"rank" : 4,"comment" : "MonoidByAdjoiningIdentityElt","location" : {"line" : 50,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMultiplicativeElement","IsAssociativeElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MonoidByAdjoiningIdentityElt)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement","IsAssociativeElement"],[]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MonoidByAdjoiningIdentityElt): system setter","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MonoidByAdjoiningIdentityElt): default method, does nothing","location" : {"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMonoidByAdjoiningIdentityElt"]},{"name" : "Tester(MonoidByAdjoiningIdentityElt)","type" : "GAP_Operation","filters" : [[["IsMultiplicativeElement","IsAssociativeElement"]]],"locations" : [{"line" : 48,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMonoidByAdjoiningIdentityElt"]},{"name" : "UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentityElt"]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt: system getter","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt)"]]},{"rank" : 6,"comment" : "UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt","location" : {"line" : 154,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gi"},"filters" : [["IsMonoidByAdjoiningIdentityElt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt)","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentityElt"],[]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt): system setter","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt): default method, does nothing","location" : {"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt"]},{"name" : "Tester(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt)","type" : "GAP_Operation","filters" : [[["IsMonoidByAdjoiningIdentityElt"]]],"locations" : [{"line" : 58,"file" : "\/home\/makx\/ac\/gap\/lib\/adjoin.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt"]},{"name" : "IsFiniteSemigroupGreensRelation","type" : "GAP_Operation","filters" : [[["IsGreensRelation"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IsFiniteSemigroupGreensRelation: system getter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFiniteSemigroupGreensRelation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFiniteSemigroupGreensRelation)","type" : "GAP_Operation","filters" : [[["IsGreensRelation"],["IsBool"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFiniteSemigroupGreensRelation): system setter","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFiniteSemigroupGreensRelation): default method, does nothing","location" : {"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFiniteSemigroupGreensRelation"]},{"name" : "Tester(IsFiniteSemigroupGreensRelation)","type" : "GAP_Operation","filters" : [[["IsGreensRelation"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "GreensRRelation","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensRRelation: system getter","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensRRelation)"]]},{"rank" : 20,"comment" : "GreensRRelation: for free semigroups","location" : {"line" : 1213,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 15,"comment" : "GreensRRelation: for a semigroup","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensRRelation: default method requiring categories and checking properties","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensRRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensRRelation): system setter","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensRRelation): default method, does nothing","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensRRelation"]},{"name" : "Tester(GreensRRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensRRelation"]},{"name" : "GreensLRelation","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensLRelation: system getter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensLRelation)"]]},{"rank" : 20,"comment" : "GreensLRelation: for free semigroups","location" : {"line" : 1221,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 15,"comment" : "GreensLRelation: for a semigroup","location" : {"line" : 132,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensLRelation: default method requiring categories and checking properties","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensLRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensLRelation): system setter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensLRelation): default method, does nothing","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensLRelation"]},{"name" : "Tester(GreensLRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensLRelation"]},{"name" : "GreensJRelation","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensJRelation: system getter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensJRelation)"]]},{"rank" : 20,"comment" : "GreensJRelation: for free semigroups","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 15,"comment" : "GreensJRelation: for a semigroup","location" : {"line" : 153,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensJRelation: default method requiring categories and checking properties","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensJRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensJRelation): system setter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensJRelation): default method, does nothing","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensJRelation"]},{"name" : "Tester(GreensJRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensJRelation"]},{"name" : "GreensDRelation","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensDRelation: system getter","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensDRelation)"]]},{"rank" : 20,"comment" : "GreensDRelation: for free semigroups","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 15,"comment" : "GreensDRelation: for a semigroup","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensDRelation: default method requiring categories and checking properties","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensDRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensDRelation): system setter","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensDRelation): default method, does nothing","location" : {"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensDRelation"]},{"name" : "Tester(GreensDRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 106,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensDRelation"]},{"name" : "GreensHRelation","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensHRelation: system getter","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensHRelation)"]]},{"rank" : 20,"comment" : "GreensHRelation: for free semigroups","location" : {"line" : 1245,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","IsFreeSemigroup","Tester(IsFreeSemigroup)"]]},{"rank" : 15,"comment" : "GreensHRelation: for a semigroup","location" : {"line" : 197,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensHRelation: default method requiring categories and checking properties","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensHRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensHRelation): system setter","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensHRelation): default method, does nothing","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensHRelation"]},{"name" : "Tester(GreensHRelation)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensHRelation"]},{"name" : "GreensRClassOfElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 134,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "GreensRClassOfElement: for a semigroup and object","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GreensRClassOfElement"]},{"name" : "GreensLClassOfElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 135,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "GreensLClassOfElement: for a semigroup and object","location" : {"line" : 263,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GreensLClassOfElement"]},{"name" : "GreensDClassOfElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "GreensDClassOfElement: for a semigroup and object","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GreensDClassOfElement"]},{"name" : "GreensJClassOfElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "GreensJClassOfElement: for a semigroup and object","location" : {"line" : 283,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GreensJClassOfElement"]},{"name" : "GreensHClassOfElement","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 138,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 17,"comment" : "GreensHClassOfElement: for a semigroup and object","location" : {"line" : 270,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GreensHClassOfElement"]},{"name" : "FroidurePinSimpleAlg","type" : "GAP_Operation","filters" : [[["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 143,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 23,"comment" : "FroidurePinSimpleAlg: for a finite monoid","location" : {"line" : 936,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FroidurePinSimpleAlg"]},{"name" : "FroidurePinExtendedAlg","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 15,"comment" : "FroidurePinExtendedAlg: for a finite semigroup","location" : {"line" : 1188,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FroidurePinExtendedAlg"]},{"name" : "AssociatedConcreteSemigroup","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "AssociatedConcreteSemigroup: system getter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(AssociatedConcreteSemigroup)"]]},{"rank" : -5,"comment" : "AssociatedConcreteSemigroup: default method requiring categories and checking properties","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma","CategoryCollections(IsElementOfFpSemigroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AssociatedConcreteSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],[]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AssociatedConcreteSemigroup): system setter","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AssociatedConcreteSemigroup): default method, does nothing","location" : {"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAssociatedConcreteSemigroup"]},{"name" : "Tester(AssociatedConcreteSemigroup)","type" : "GAP_Operation","filters" : [[["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]],"locations" : [{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAssociatedConcreteSemigroup"]},{"name" : "AssociatedFpSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "AssociatedFpSemigroup: system getter","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(AssociatedFpSemigroup)"]]},{"rank" : 0,"comment" : "AssociatedFpSemigroup: default method requiring categories and checking properties","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AssociatedFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AssociatedFpSemigroup): system setter","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AssociatedFpSemigroup): default method, does nothing","location" : {"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAssociatedFpSemigroup"]},{"name" : "Tester(AssociatedFpSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 147,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAssociatedFpSemigroup"]},{"name" : "GreensRClasses","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]],[["IsGreensDClass"]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensRClasses: system getter","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensRClasses)"]]},{"rank" : 15,"comment" : "GreensRClasses: for a semigroup","location" : {"line" : 561,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "GreensRClasses: for a Green's D-class","location" : {"line" : 564,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]},{"rank" : 0,"comment" : "GreensRClasses: default method requiring categories and checking properties","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensRClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]],[["IsGreensDClass"],[]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensRClasses): system setter","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensRClasses): default method, does nothing","location" : {"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensRClasses"]},{"name" : "Tester(GreensRClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 227,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensRClasses"]},{"name" : "GreensLClasses","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]],[["IsGreensDClass"]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensLClasses: system getter","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensLClasses)"]]},{"rank" : 15,"comment" : "GreensLClasses: for a semigroup","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "GreensLClasses: for a Green's D-class","location" : {"line" : 595,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]},{"rank" : 0,"comment" : "GreensLClasses: default method requiring categories and checking properties","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensLClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]],[["IsGreensDClass"],[]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensLClasses): system setter","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensLClasses): default method, does nothing","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensLClasses"]},{"name" : "Tester(GreensLClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensLClasses"]},{"name" : "GreensJClasses","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensJClasses: system getter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensJClasses)"]]},{"rank" : 17,"comment" : "GreensJClasses: for a semigroup","location" : {"line" : 598,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensJClasses: default method requiring categories and checking properties","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensJClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensJClasses): system setter","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensJClasses): default method, does nothing","location" : {"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensJClasses"]},{"name" : "Tester(GreensJClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 229,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensJClasses"]},{"name" : "GreensDClasses","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensDClasses: system getter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensDClasses)"]]},{"rank" : 15,"comment" : "GreensDClasses: for a semigroup","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "GreensDClasses: default method requiring categories and checking properties","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensDClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensDClasses): system setter","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensDClasses): default method, does nothing","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensDClasses"]},{"name" : "Tester(GreensDClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensDClasses"]},{"name" : "GreensHClasses","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]],[["IsGreensClass"]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "GreensHClasses: system getter","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GreensHClasses)"]]},{"rank" : 15,"comment" : "GreensHClasses: for a semigroup","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "GreensHClasses: for a Green's Class","location" : {"line" : 722,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensLClass"]]},{"rank" : 8,"comment" : "GreensHClasses: for a Green's Class","location" : {"line" : 719,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensRClass"]]},{"rank" : 8,"comment" : "GreensHClasses: for a Green's Class","location" : {"line" : 716,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]},{"rank" : 0,"comment" : "GreensHClasses: default method requiring categories and checking properties","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GreensHClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]],[["IsGreensClass"],[]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GreensHClasses): system setter","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GreensHClasses): default method, does nothing","location" : {"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGreensHClasses"]},{"name" : "Tester(GreensHClasses)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 231,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGreensHClasses"]},{"name" : "IsGreensLessThanOrEqual","type" : "GAP_Operation","filters" : [[["IsGreensClass"],["IsGreensClass"]]],"locations" : [{"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 14,"comment" : "IsGreensLessThanOrEqual: for two Green's classes","location" : {"line" : 756,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"],["IsGreensClass"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsGreensLessThanOrEqual"]},{"name" : "RClassOfHClass","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "RClassOfHClass: system getter","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(RClassOfHClass)"]]},{"rank" : 8,"comment" : "RClassOfHClass: for a Green's H-class","location" : {"line" : 506,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensHClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"],[]]],"locations" : [{"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RClassOfHClass): system setter","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RClassOfHClass): default method, does nothing","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRClassOfHClass"]},{"name" : "Tester(RClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 277,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRClassOfHClass"]},{"name" : "LClassOfHClass","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "LClassOfHClass: system getter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(LClassOfHClass)"]]},{"rank" : 8,"comment" : "LClassOfHClass: for a Green's H-class","location" : {"line" : 513,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensHClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"],[]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LClassOfHClass): system setter","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LClassOfHClass): default method, does nothing","location" : {"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLClassOfHClass"]},{"name" : "Tester(LClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLClassOfHClass"]},{"name" : "DClassOfHClass","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "DClassOfHClass: system getter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(DClassOfHClass)"]]},{"rank" : 8,"comment" : "DClassOfHClass: for a Green's H-class","location" : {"line" : 516,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensHClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"],[]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DClassOfHClass): system setter","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DClassOfHClass): default method, does nothing","location" : {"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDClassOfHClass"]},{"name" : "Tester(DClassOfHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 279,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDClassOfHClass"]},{"name" : "DClassOfLClass","type" : "GAP_Operation","filters" : [[["IsGreensLClass"]]],"locations" : [{"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "DClassOfLClass: system getter","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(DClassOfLClass)"]]},{"rank" : 8,"comment" : "DClassOfLClass: for a Green's L-class","location" : {"line" : 519,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensLClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DClassOfLClass)","type" : "GAP_Operation","filters" : [[["IsGreensLClass"],[]]],"locations" : [{"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DClassOfLClass): system setter","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DClassOfLClass): default method, does nothing","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDClassOfLClass"]},{"name" : "Tester(DClassOfLClass)","type" : "GAP_Operation","filters" : [[["IsGreensLClass"]]],"locations" : [{"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDClassOfLClass"]},{"name" : "DClassOfRClass","type" : "GAP_Operation","filters" : [[["IsGreensRClass"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "DClassOfRClass: system getter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(DClassOfRClass)"]]},{"rank" : 8,"comment" : "DClassOfRClass: for a Green's R-class","location" : {"line" : 522,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensRClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DClassOfRClass)","type" : "GAP_Operation","filters" : [[["IsGreensRClass"],[]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DClassOfRClass): system setter","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DClassOfRClass): default method, does nothing","location" : {"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDClassOfRClass"]},{"name" : "Tester(DClassOfRClass)","type" : "GAP_Operation","filters" : [[["IsGreensRClass"]]],"locations" : [{"line" : 281,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDClassOfRClass"]},{"name" : "GroupHClassOfGreensDClass","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "GroupHClassOfGreensDClass: system getter","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(GroupHClassOfGreensDClass)"]]},{"rank" : 8,"comment" : "GroupHClassOfGreensDClass: for a Green's H-class","location" : {"line" : 793,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GroupHClassOfGreensDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"],[]]],"locations" : [{"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GroupHClassOfGreensDClass): system setter","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GroupHClassOfGreensDClass): default method, does nothing","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGroupHClassOfGreensDClass"]},{"name" : "Tester(GroupHClassOfGreensDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 299,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGroupHClassOfGreensDClass"]},{"name" : "IsRegularDClass","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "IsRegularDClass: system getter","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRegularDClass)"]]},{"rank" : 8,"comment" : "IsRegularDClass: for a Green's D class","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRegularDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"],["IsBool"]]],"locations" : [{"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRegularDClass): system setter","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRegularDClass): default method, does nothing","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRegularDClass"]},{"name" : "Tester(IsRegularDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsGroupHClass","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "IsGroupHClass: system getter","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsGroupHClass)"]]},{"rank" : 8,"comment" : "IsGroupHClass: for Green's H-class","location" : {"line" : 766,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensHClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsGroupHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"],["IsBool"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsGroupHClass): system setter","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsGroupHClass): default method, does nothing","location" : {"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsGroupHClass"]},{"name" : "Tester(IsGroupHClass)","type" : "GAP_Operation","filters" : [[["IsGreensHClass"]]],"locations" : [{"line" : 344,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "EggBoxOfDClass","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "EggBoxOfDClass: system getter","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(EggBoxOfDClass)"]]},{"rank" : 8,"comment" : "EggBoxOfDClass: for a Green's D class","location" : {"line" : 809,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensDClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(EggBoxOfDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"],[]]],"locations" : [{"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(EggBoxOfDClass): system setter","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(EggBoxOfDClass): default method, does nothing","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetEggBoxOfDClass"]},{"name" : "Tester(EggBoxOfDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 363,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasEggBoxOfDClass"]},{"name" : "InternalRepGreensRelation","type" : "GAP_Operation","filters" : [[["IsGreensRelation"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "InternalRepGreensRelation: system getter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(InternalRepGreensRelation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InternalRepGreensRelation)","type" : "GAP_Operation","filters" : [[["IsGreensRelation"],[]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InternalRepGreensRelation): system setter","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InternalRepGreensRelation): default method, does nothing","location" : {"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInternalRepGreensRelation"]},{"name" : "Tester(InternalRepGreensRelation)","type" : "GAP_Operation","filters" : [[["IsGreensRelation"]]],"locations" : [{"line" : 388,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInternalRepGreensRelation"]},{"name" : "CanonicalGreensClass","type" : "GAP_Operation","filters" : [[["IsGreensClass"]]],"locations" : [{"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "CanonicalGreensClass: system getter","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(CanonicalGreensClass)"]]},{"rank" : 7,"comment" : "CanonicalGreensClass: for a Green's class","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsGreensClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CanonicalGreensClass)","type" : "GAP_Operation","filters" : [[["IsGreensClass"],[]]],"locations" : [{"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CanonicalGreensClass): system setter","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CanonicalGreensClass): default method, does nothing","location" : {"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCanonicalGreensClass"]},{"name" : "Tester(CanonicalGreensClass)","type" : "GAP_Operation","filters" : [[["IsGreensClass"]]],"locations" : [{"line" : 389,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCanonicalGreensClass"]},{"name" : "DisplayEggBoxesOfSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 391,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "DisplayEggBoxesOfSemigroup: for finite semigroups","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DisplayEggBoxesOfSemigroup"]},{"name" : "SemigroupHomomorphismByImagesNC","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 455,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 32,"comment" : "SemigroupHomomorphismByImagesNC: for a semigroup, semigroup, list","location" : {"line" : 1276,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SemigroupHomomorphismByImagesNC"]},{"name" : "IsFpSemigpReducedElt","type" : "GAP_Operation","filters" : [[["IsElementOfFpSemigroup"]]],"locations" : [{"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20008,"comment" : "IsFpSemigpReducedElt: system getter","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFpSemigpReducedElt)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFpSemigpReducedElt)","type" : "GAP_Operation","filters" : [[["IsElementOfFpSemigroup"],["IsBool"]]],"locations" : [{"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFpSemigpReducedElt): system setter","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFpSemigpReducedElt): default method, does nothing","location" : {"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFpSemigpReducedElt"]},{"name" : "Tester(IsFpSemigpReducedElt)","type" : "GAP_Operation","filters" : [[["IsElementOfFpSemigroup"]]],"locations" : [{"line" : 459,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFpMonoidReducedElt","type" : "GAP_Operation","filters" : [[["IsElementOfFpMonoid"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20009,"comment" : "IsFpMonoidReducedElt: system getter","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFpMonoidReducedElt)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFpMonoidReducedElt)","type" : "GAP_Operation","filters" : [[["IsElementOfFpMonoid"],["IsBool"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFpMonoidReducedElt): system setter","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFpMonoidReducedElt): default method, does nothing","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFpMonoidReducedElt"]},{"name" : "Tester(IsFpMonoidReducedElt)","type" : "GAP_Operation","filters" : [[["IsElementOfFpMonoid"]]],"locations" : [{"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/semirel.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsFullTransformationSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsFullTransformationSemigroup: system getter","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsFullTransformationSemigroup)"]]},{"rank" : 21,"comment" : "IsFullTransformationSemigroup: for a transformation semigroup","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "IsFullTransformationSemigroup: for a semigroup","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsFullTransformationSemigroup: default method requiring categories and checking properties","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsFullTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsFullTransformationSemigroup): system setter","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsFullTransformationSemigroup): default method, does nothing","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsFullTransformationSemigroup"]},{"name" : "Tester(IsFullTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DegreeOfTransformationSemigroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "DegreeOfTransformationSemigroup: system getter","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfTransformationSemigroup)"]]},{"rank" : 47,"comment" : "DegreeOfTransformationSemigroup: for a transformation group with generators","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "DegreeOfTransformationSemigroup: for a transformation semigroup with generators","location" : {"line" : 101,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -5,"comment" : "DegreeOfTransformationSemigroup: default method requiring categories and checking properties","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfTransformationSemigroup): system setter","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfTransformationSemigroup): default method, does nothing","location" : {"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfTransformationSemigroup"]},{"name" : "Tester(DegreeOfTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfTransformationSemigroup"]},{"name" : "IsomorphismTransformationSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismTransformationSemigroup: system getter","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismTransformationSemigroup)"]]},{"rank" : 59,"comment" : "IsomorphismTransformationSemigroup: for a perm group with generators","location" : {"line" : 314,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "IsomorphismTransformationSemigroup: for partial perm semigroup","location" : {"line" : 482,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "IsomorphismTransformationSemigroup: for a transformation semigroup","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "IsomorphismTransformationSemigroup: for a semigroup of general mappings","location" : {"line" : 169,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsGeneralMapping)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 19,"comment" : "IsomorphismTransformationSemigroup: <fp-semigroup>","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]]},{"rank" : 17,"comment" : "IsomorphismTransformationSemigroup: for a semigroup with multiplicative neutral element and generators","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 16,"comment" : "IsomorphismTransformationSemigroup: for a semigroup with multiplicative neutral element","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 16,"comment" : "IsomorphismTransformationSemigroup: for a semigroup with generators","location" : {"line" : 339,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 15,"comment" : "IsomorphismTransformationSemigroup: for a semigroup","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismTransformationSemigroup: default method requiring categories and checking properties","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismTransformationSemigroup): system setter","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismTransformationSemigroup): default method, does nothing","location" : {"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismTransformationSemigroup"]},{"name" : "Tester(IsomorphismTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismTransformationSemigroup"]},{"name" : "IsomorphismTransformationMonoid","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismTransformationMonoid: system getter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismTransformationMonoid)"]]},{"rank" : 59,"comment" : "IsomorphismTransformationMonoid: for a perm group with generators","location" : {"line" : 296,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "IsomorphismTransformationMonoid: for partial perm semigroup","location" : {"line" : 509,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 17,"comment" : "IsomorphismTransformationMonoid: for a semigroup with multiplicative neutral element and generators","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)"]]},{"rank" : 0,"comment" : "IsomorphismTransformationMonoid: default method requiring categories and checking properties","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismTransformationMonoid)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismTransformationMonoid): system setter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismTransformationMonoid): default method, does nothing","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismTransformationMonoid"]},{"name" : "Tester(IsomorphismTransformationMonoid)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismTransformationMonoid"]},{"name" : "HomomorphismTransformationSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsRightMagmaCongruence"]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "HomomorphismTransformationSemigroup: for an f.p. semigroup, and a right congruence","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/lib\/tcsemi.gi"},"filters" : [["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"],["IsRightMagmaCongruence"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HomomorphismTransformationSemigroup"]},{"name" : "AntiIsomorphismTransformationSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "AntiIsomorphismTransformationSemigroup: system getter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep","Tester(AntiIsomorphismTransformationSemigroup)"]]},{"rank" : 16,"comment" : "AntiIsomorphismTransformationSemigroup: for a semigroup with generators","location" : {"line" : 454,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "AntiIsomorphismTransformationSemigroup: default method requiring categories and checking properties","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AntiIsomorphismTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AntiIsomorphismTransformationSemigroup): system setter","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AntiIsomorphismTransformationSemigroup): default method, does nothing","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAntiIsomorphismTransformationSemigroup"]},{"name" : "Tester(AntiIsomorphismTransformationSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/semitran.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAntiIsomorphismTransformationSemigroup"]},{"name" : "RowOfReesMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesMatrixSemigroupElement"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "RowOfReesMatrixSemigroupElement: for a Rees matrix semigroup element","location" : {"line" : 761,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RowOfReesMatrixSemigroupElement"]},{"name" : "RowOfReesZeroMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesZeroMatrixSemigroupElement"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "RowOfReesZeroMatrixSemigroupElement: for a Rees 0-matrix semigroup element","location" : {"line" : 767,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RowOfReesZeroMatrixSemigroupElement"]},{"name" : "ColumnOfReesMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesMatrixSemigroupElement"]]],"locations" : [{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "ColumnOfReesMatrixSemigroupElement: for a Rees matrix semigroup element","location" : {"line" : 785,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ColumnOfReesMatrixSemigroupElement"]},{"name" : "ColumnOfReesZeroMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesZeroMatrixSemigroupElement"]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "ColumnOfReesZeroMatrixSemigroupElement: for a Rees 0-matrix semigroup element","location" : {"line" : 791,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ColumnOfReesZeroMatrixSemigroupElement"]},{"name" : "UnderlyingElementOfReesMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesMatrixSemigroupElement"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "UnderlyingElementOfReesMatrixSemigroupElement: for a Rees matrix semigroup element","location" : {"line" : 773,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnderlyingElementOfReesMatrixSemigroupElement"]},{"name" : "UnderlyingElementOfReesZeroMatrixSemigroupElement","type" : "GAP_Operation","filters" : [[["IsReesZeroMatrixSemigroupElement"]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 5,"comment" : "UnderlyingElementOfReesZeroMatrixSemigroupElement: for a Rees 0-matrix semigroup element","location" : {"line" : 779,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsReesZeroMatrixSemigroupElement"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UnderlyingElementOfReesZeroMatrixSemigroupElement"]},{"name" : "IsReesMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsReesMatrixSemigroup: system getter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReesMatrixSemigroup)"]]},{"rank" : 18,"comment" : "IsReesMatrixSemigroup: for a Rees matrix subsemigroup with generators","location" : {"line" : 193,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 15,"comment" : "IsReesMatrixSemigroup: for a semigroup","location" : {"line" : 167,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsReesMatrixSemigroup: default method requiring categories and checking properties","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReesMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReesMatrixSemigroup): system setter","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReesMatrixSemigroup): default method, does nothing","location" : {"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReesMatrixSemigroup"]},{"name" : "Tester(IsReesMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsReesZeroMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsReesZeroMatrixSemigroup: system getter","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsReesZeroMatrixSemigroup)"]]},{"rank" : 18,"comment" : "IsReesZeroMatrixSemigroup: for a Rees 0-matrix subsemigroup with generators","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 15,"comment" : "IsReesZeroMatrixSemigroup: for a semigroup","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsReesZeroMatrixSemigroup: default method requiring categories and checking properties","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsReesZeroMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsReesZeroMatrixSemigroup): system setter","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsReesZeroMatrixSemigroup): default method, does nothing","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsReesZeroMatrixSemigroup"]},{"name" : "Tester(IsReesZeroMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ReesMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsRectangularTable","Tester(IsRectangularTable)"]]],"locations" : [{"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "ReesMatrixSemigroup: for a semigroup and a rectangular table","location" : {"line" : 286,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsRectangularTable","Tester(IsRectangularTable)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReesMatrixSemigroup"]},{"name" : "ReesZeroMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 18,"comment" : "ReesZeroMatrixSemigroup: for a semigroup and a dense list","location" : {"line" : 342,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReesZeroMatrixSemigroup"]},{"name" : "GeneratorsOfReesMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 65,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 36,"comment" : "GeneratorsOfReesMatrixSemigroup: for a Rees matrix subsemigroup, rows, semigroup, columns","location" : {"line" : 1137,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["GeneratorsOfReesMatrixSemigroup"]},{"name" : "ReesMatrixSubsemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 36,"comment" : "ReesMatrixSubsemigroup: for a Rees matrix semigroup, rows, semigroup, columns","location" : {"line" : 1277,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["ReesMatrixSubsemigroup"]},{"name" : "GeneratorsOfReesZeroMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 36,"comment" : "GeneratorsOfReesZeroMatrixSemigroup: for a Rees 0-matrix semigroup, rows, semigroup, columns","location" : {"line" : 1167,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["GeneratorsOfReesZeroMatrixSemigroup"]},{"name" : "ReesZeroMatrixSubsemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]],"locations" : [{"line" : 77,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 36,"comment" : "ReesZeroMatrixSubsemigroup: for a Rees 0-matrix semigroup, rows, semigroup, columns","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],["IsList"],["IsMagma","IsAssociative","Tester(IsAssociative)"],["IsList"]]}],"5args" : [],"6args" : []},"aka" : ["ReesZeroMatrixSubsemigroup"]},{"name" : "Setter(Matrix)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],[]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],[]]],"locations" : [{"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Matrix): system setter","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Matrix): default method, does nothing","location" : {"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMatrix","SetMatrixOfReesMatrixSemigroup","SetMatrixOfReesZeroMatrixSemigroup"]},{"name" : "Tester(Matrix)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]],"locations" : [{"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMatrix","HasMatrixOfReesMatrixSemigroup","HasMatrixOfReesZeroMatrixSemigroup"]},{"name" : "Rows","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "Rows: system getter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(Rows)"]]},{"rank" : 18,"comment" : "Rows: for a Rees 0-matrix semigroup with generators","location" : {"line" : 606,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "Rows: for a Rees matrix semigroup with generators","location" : {"line" : 592,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : -5,"comment" : "Rows: default method requiring categories and checking properties","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Rows)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],[]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],[]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Rows): system setter","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Rows): default method, does nothing","location" : {"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRows","SetRowsOfReesMatrixSemigroup","SetRowsOfReesZeroMatrixSemigroup"]},{"name" : "Tester(Rows)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]],"locations" : [{"line" : 85,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRows","HasRowsOfReesMatrixSemigroup","HasRowsOfReesZeroMatrixSemigroup"]},{"name" : "Columns","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "Columns: system getter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(Columns)"]]},{"rank" : 18,"comment" : "Columns: for a Rees 0-matrix semigroup with generators","location" : {"line" : 636,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "Columns: for a Rees matrix semigroup with generators","location" : {"line" : 617,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : -5,"comment" : "Columns: default method requiring categories and checking properties","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Columns)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],[]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],[]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Columns): system setter","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Columns): default method, does nothing","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetColumns","SetColumnsOfReesMatrixSemigroup","SetColumnsOfReesZeroMatrixSemigroup"]},{"name" : "Tester(Columns)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasColumns","HasColumnsOfReesMatrixSemigroup","HasColumnsOfReesZeroMatrixSemigroup"]},{"name" : "UnderlyingSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "UnderlyingSemigroup: system getter","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingSemigroup)"]]},{"rank" : 18,"comment" : "UnderlyingSemigroup: for a Rees 0-matrix semigroup with generators","location" : {"line" : 700,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 18,"comment" : "UnderlyingSemigroup: for a Rees matrix semigroup with generators","location" : {"line" : 667,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : -5,"comment" : "UnderlyingSemigroup: default method requiring categories and checking properties","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],[]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],[]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingSemigroup): system setter","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingSemigroup): default method, does nothing","location" : {"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingSemigroup"]},{"name" : "Tester(UnderlyingSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]],"locations" : [{"line" : 95,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingSemigroup"]},{"name" : "AssociatedReesMatrixSemigroupOfDClass","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20011,"comment" : "AssociatedReesMatrixSemigroupOfDClass: system getter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(AssociatedReesMatrixSemigroupOfDClass)"]]},{"rank" : 8,"comment" : "AssociatedReesMatrixSemigroupOfDClass: for a Green's D-class of a semigroup","location" : {"line" : 1449,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsGreensDClass"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AssociatedReesMatrixSemigroupOfDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"],[]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AssociatedReesMatrixSemigroupOfDClass): system setter","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AssociatedReesMatrixSemigroupOfDClass): default method, does nothing","location" : {"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAssociatedReesMatrixSemigroupOfDClass"]},{"name" : "Tester(AssociatedReesMatrixSemigroupOfDClass)","type" : "GAP_Operation","filters" : [[["IsGreensDClass"]]],"locations" : [{"line" : 104,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAssociatedReesMatrixSemigroupOfDClass"]},{"name" : "IsomorphismReesMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]],[["IsGreensDClass"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismReesMatrixSemigroup: system getter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismReesMatrixSemigroup)"]]},{"rank" : 17,"comment" : "IsomorphismReesMatrixSemigroup: for a Rees matrix subsemigroup","location" : {"line" : 1533,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : 15,"comment" : "IsomorphismReesMatrixSemigroup: for a finite simple","location" : {"line" : 1407,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 8,"comment" : "IsomorphismReesMatrixSemigroup: for a D-class","location" : {"line" : 1388,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsGreensDClass"]]},{"rank" : 0,"comment" : "IsomorphismReesMatrixSemigroup: default method requiring categories and checking properties","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismReesMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]],[["IsGreensDClass"],[]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismReesMatrixSemigroup): system setter","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismReesMatrixSemigroup): default method, does nothing","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismReesMatrixSemigroup"]},{"name" : "Tester(IsomorphismReesMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 105,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismReesMatrixSemigroup"]},{"name" : "IsomorphismReesZeroMatrixSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismReesZeroMatrixSemigroup: system getter","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismReesZeroMatrixSemigroup)"]]},{"rank" : 17,"comment" : "IsomorphismReesZeroMatrixSemigroup: for a Rees 0-matrix subsemigroup","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 15,"comment" : "IsomorphismReesZeroMatrixSemigroup: for a finite 0-simple","location" : {"line" : 1427,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismReesZeroMatrixSemigroup: default method requiring categories and checking properties","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismReesZeroMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismReesZeroMatrixSemigroup): system setter","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismReesZeroMatrixSemigroup): default method, does nothing","location" : {"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismReesZeroMatrixSemigroup"]},{"name" : "Tester(IsomorphismReesZeroMatrixSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 107,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismReesZeroMatrixSemigroup"]},{"name" : "ReesMatrixSemigroupOfFamily","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ReesMatrixSemigroupOfFamily: system getter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(ReesMatrixSemigroupOfFamily)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ReesMatrixSemigroupOfFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"],[]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ReesMatrixSemigroupOfFamily): system setter","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ReesMatrixSemigroupOfFamily): default method, does nothing","location" : {"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetReesMatrixSemigroupOfFamily"]},{"name" : "Tester(ReesMatrixSemigroupOfFamily)","type" : "GAP_Operation","filters" : [[["IsFamily"]]],"locations" : [{"line" : 111,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasReesMatrixSemigroupOfFamily"]},{"name" : "TypeReesMatrixSemigroupElements","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20020,"comment" : "TypeReesMatrixSemigroupElements: system getter","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep","Tester(TypeReesMatrixSemigroupElements)"]]},{"rank" : 17,"comment" : "TypeReesMatrixSemigroupElements: for a subsemigroup of Rees 0-matrix semigroup","location" : {"line" : 712,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]]},{"rank" : 17,"comment" : "TypeReesMatrixSemigroupElements: for a subsemigroup of Rees matrix semigroup","location" : {"line" : 707,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gi"},"filters" : [["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]},{"rank" : -5,"comment" : "TypeReesMatrixSemigroupElements: default method requiring categories and checking properties","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsMagma","CategoryCollections(IsReesMatrixSemigroupElement)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TypeReesMatrixSemigroupElements)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"],[]],[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"],[]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TypeReesMatrixSemigroupElements): system setter","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TypeReesMatrixSemigroupElements): default method, does nothing","location" : {"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTypeReesMatrixSemigroupElements"]},{"name" : "Tester(TypeReesMatrixSemigroupElements)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/lib\/reesmat.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTypeReesMatrixSemigroupElements"]},{"name" : "QuotientSemigroupPreimage","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20019,"comment" : "QuotientSemigroupPreimage: system getter","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep","Tester(QuotientSemigroupPreimage)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(QuotientSemigroupPreimage)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"],[]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(QuotientSemigroupPreimage): system setter","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(QuotientSemigroupPreimage): default method, does nothing","location" : {"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetQuotientSemigroupPreimage"]},{"name" : "Tester(QuotientSemigroupPreimage)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 86,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasQuotientSemigroupPreimage"]},{"name" : "QuotientSemigroupCongruence","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20019,"comment" : "QuotientSemigroupCongruence: system getter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep","Tester(QuotientSemigroupCongruence)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(QuotientSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"],[]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(QuotientSemigroupCongruence): system setter","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(QuotientSemigroupCongruence): default method, does nothing","location" : {"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetQuotientSemigroupCongruence"]},{"name" : "Tester(QuotientSemigroupCongruence)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 87,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasQuotientSemigroupCongruence"]},{"name" : "QuotientSemigroupHomomorphism","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20019,"comment" : "QuotientSemigroupHomomorphism: system getter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep","Tester(QuotientSemigroupHomomorphism)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(QuotientSemigroupHomomorphism)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"],[]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(QuotientSemigroupHomomorphism): system setter","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(QuotientSemigroupHomomorphism): default method, does nothing","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetQuotientSemigroupHomomorphism"]},{"name" : "Tester(QuotientSemigroupHomomorphism)","type" : "GAP_Operation","filters" : [[["IsQuotientSemigroup"]]],"locations" : [{"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semiquo.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasQuotientSemigroupHomomorphism"]},{"name" : "DegreeOfPartialPermSemigroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "DegreeOfPartialPermSemigroup: system getter","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfPartialPermSemigroup)"]]},{"rank" : 24,"comment" : "DegreeOfPartialPermSemigroup: for a partial perm semigroup","location" : {"line" : 63,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -5,"comment" : "DegreeOfPartialPermSemigroup: default method requiring categories and checking properties","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfPartialPermSemigroup): system setter","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfPartialPermSemigroup): default method, does nothing","location" : {"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfPartialPermSemigroup"]},{"name" : "Tester(DegreeOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 18,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfPartialPermSemigroup"]},{"name" : "CodegreeOfPartialPermSemigroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "CodegreeOfPartialPermSemigroup: system getter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(CodegreeOfPartialPermSemigroup)"]]},{"rank" : 30,"comment" : "CodegreeOfPartialPermSemigroup: for an inverse partial perm semigroup","location" : {"line" : 83,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]]},{"rank" : 24,"comment" : "CodegreeOfPartialPermSemigroup: for a partial perm semigroup with generators","location" : {"line" : 73,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -5,"comment" : "CodegreeOfPartialPermSemigroup: default method requiring categories and checking properties","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CodegreeOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CodegreeOfPartialPermSemigroup): system setter","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CodegreeOfPartialPermSemigroup): default method, does nothing","location" : {"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCodegreeOfPartialPermSemigroup"]},{"name" : "Tester(CodegreeOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 19,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCodegreeOfPartialPermSemigroup"]},{"name" : "RankOfPartialPermSemigroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "RankOfPartialPermSemigroup: system getter","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(RankOfPartialPermSemigroup)"]]},{"rank" : 49,"comment" : "RankOfPartialPermSemigroup: for a partial perm semigroup","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagmaWithInverses)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 24,"comment" : "RankOfPartialPermSemigroup: for a partial perm semigroup","location" : {"line" : 88,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -5,"comment" : "RankOfPartialPermSemigroup: default method requiring categories and checking properties","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RankOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RankOfPartialPermSemigroup): system setter","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RankOfPartialPermSemigroup): default method, does nothing","location" : {"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRankOfPartialPermSemigroup"]},{"name" : "Tester(RankOfPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 20,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRankOfPartialPermSemigroup"]},{"name" : "IsSymmetricInverseSemigroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "IsSymmetricInverseSemigroup: system getter","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSymmetricInverseSemigroup)"]]},{"rank" : 24,"comment" : "IsSymmetricInverseSemigroup: for a partial perm semigroup with generators","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -5,"comment" : "IsSymmetricInverseSemigroup: default method requiring categories and checking properties","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSymmetricInverseSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSymmetricInverseSemigroup): system setter","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSymmetricInverseSemigroup): default method, does nothing","location" : {"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSymmetricInverseSemigroup"]},{"name" : "Tester(IsSymmetricInverseSemigroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 22,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "SymmetricInverseSemigroup","type" : "GAP_Operation","filters" : [[["IsInt"]]],"locations" : [{"line" : 25,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "SymmetricInverseSemigroup: for a integer","location" : {"line" : 429,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["IsInt"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SymmetricInverseMonoid","SymmetricInverseSemigroup"]},{"name" : "IsomorphismPartialPermSemigroup","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismPartialPermSemigroup: system getter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismPartialPermSemigroup)"]]},{"rank" : 58,"comment" : "IsomorphismPartialPermSemigroup: for a perm group","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "IsomorphismPartialPermSemigroup: for a partial perm semigroup","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsomorphismPartialPermSemigroup: for a transformation semigroup","location" : {"line" : 345,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 16,"comment" : "IsomorphismPartialPermSemigroup: for a semigroup with generators","location" : {"line" : 267,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPartialPermSemigroup: default method requiring categories and checking properties","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismPartialPermSemigroup): system setter","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismPartialPermSemigroup): default method, does nothing","location" : {"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismPartialPermSemigroup"]},{"name" : "Tester(IsomorphismPartialPermSemigroup)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismPartialPermSemigroup"]},{"name" : "IsomorphismPartialPermMonoid","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20018,"comment" : "IsomorphismPartialPermMonoid: system getter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsomorphismPartialPermMonoid)"]]},{"rank" : 58,"comment" : "IsomorphismPartialPermMonoid: for a perm group","location" : {"line" : 357,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 27,"comment" : "IsomorphismPartialPermMonoid: for a partial perm monoid","location" : {"line" : 385,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "IsomorphismPartialPermMonoid: for a partial perm semigroup","location" : {"line" : 404,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsomorphismPartialPermMonoid: for a transformation semigroup","location" : {"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["CategoryCollections(IsTransformation)","IsMagma","Tester(GeneratorsOfMagma)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "IsomorphismPartialPermMonoid: for a monoid with generators","location" : {"line" : 294,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gi"},"filters" : [["IsMagmaWithOne","Tester(GeneratorsOfMagmaWithOne)","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsomorphismPartialPermMonoid: default method requiring categories and checking properties","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsMagma"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsomorphismPartialPermMonoid)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsomorphismPartialPermMonoid): system setter","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsomorphismPartialPermMonoid): default method, does nothing","location" : {"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsomorphismPartialPermMonoid"]},{"name" : "Tester(IsomorphismPartialPermMonoid)","type" : "GAP_Operation","filters" : [[["IsMagma","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/lib\/semipperm.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIsomorphismPartialPermMonoid"]},{"name" : "UnderlyingGroup","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]],[["IsTableOfMarks"]]],"locations" : [{"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "UnderlyingGroup: system getter","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingGroup)"]]},{"rank" : 31,"comment" : "UnderlyingGroup: for a class function","location" : {"line" : 114,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingGroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]],[["IsTableOfMarks"],[]]],"locations" : [{"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingGroup): system setter","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingGroup): default method, does nothing","location" : {"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingGroup"]},{"name" : "Tester(UnderlyingGroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 499,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingGroup"]},{"name" : "IdentificationOfConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IdentificationOfConjugacyClasses: system getter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IdentificationOfConjugacyClasses)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IdentificationOfConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IdentificationOfConjugacyClasses): system setter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IdentificationOfConjugacyClasses): default method, does nothing","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdentificationOfConjugacyClasses"]},{"name" : "Tester(IdentificationOfConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdentificationOfConjugacyClasses"]},{"name" : "CompatibleConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsOrdinaryTable"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsOrdinaryTable"],["IsRecord"]],[["IsOrdinaryTable"]],[["IsOrdinaryTable"],["IsRecord"]]],"locations" : [{"line" : 740,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 743,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 745,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "CompatibleConjugacyClasses: one argument version, call `CompatibleConjugacyClassesDefault'","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [{"rank" : 23,"comment" : "CompatibleConjugacyClasses: two argument version, call `CompatibleConjugacyClassesDefault'","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsRecord"]]}],"3args" : [{"rank" : 59,"comment" : "CompatibleConjugacyClasses: three argument version, call `CompatibleConjugacyClassesDefault'","location" : {"line" : 131,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsOrdinaryTable"]]}],"4args" : [{"rank" : 60,"comment" : "CompatibleConjugacyClasses: four argument version, call `CompatibleConjugacyClassesDefault'","location" : {"line" : 136,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsList"],["IsOrdinaryTable"],["IsRecord"]],"aka" : ["CompatibleConjugacyClassesDefault"]}],"5args" : [],"6args" : []},"aka" : ["CompatibleConjugacyClasses"]},{"name" : "CharacterDegrees","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 875,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "CharacterDegrees: system getter","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(CharacterDegrees)"]]},{"rank" : 370,"comment" : "CharacterDegrees: handled by nice monomorphism: Attribute","location" : {"line" : 720,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"]]},{"rank" : 35,"comment" : "CharacterDegrees: for a group (call the two-argument version)","location" : {"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "CharacterDegrees: for a character table","location" : {"line" : 713,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]},{"rank" : 0,"comment" : "CharacterDegrees: default method requiring categories and checking properties","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 82,"comment" : "CharacterDegrees: for an abelian group, and an integer p (just strip off the p-part)","location" : {"line" : 32,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"],["IsInt"]]},{"rank" : 76,"comment" : "CharacterDegrees: for a solvable group and an integer (Conlon's algorithm)","location" : {"line" : 494,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSolvableGroup","Tester(IsSolvableGroup)"],["IsInt"]]},{"rank" : 56,"comment" : "CharacterDegrees: for a group, and zero","location" : {"line" : 681,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsZeroCyc"]]},{"rank" : 54,"comment" : "CharacterDegrees: for a group, and positive integer","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CharacterDegrees)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CharacterDegrees): system setter","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CharacterDegrees): default method, does nothing","location" : {"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacterDegrees"]},{"name" : "Tester(CharacterDegrees)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 874,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacterDegrees"]},{"name" : "Irr","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 969,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Irr: system getter","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(Irr)"]]},{"rank" : 35,"comment" : "Irr: for a group (call the two-argument version)","location" : {"line" : 790,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "Irr: for an ord. char. table with known group (delegate to the group)","location" : {"line" : 934,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable","Tester(UnderlyingGroup)"]]},{"rank" : 22,"comment" : "Irr: for a <p>-solvable Brauer table (use the Fong-Swan Theorem)","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 0,"comment" : "Irr: default method requiring categories and checking properties","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 10056,"comment" : "Irr: partial method for a group, and zero","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsZeroCyc"]]},{"rank" : 391,"comment" : "Irr: via niceomorphism","location" : {"line" : 2246,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)"],["IsZeroCyc"]]},{"rank" : 83,"comment" : "Irr: ordinary characters for natural symmetric group","location" : {"line" : 1272,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsymm.gi"},"filters" : [["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)"],["IsZeroCyc"]]},{"rank" : 61,"comment" : "Irr: for a supersolvable group with known `IrrBaumClausen'","location" : {"line" : 844,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSupersolvableGroup","Tester(IsSupersolvableGroup)","Tester(IrrBaumClausen)"],["IsZeroCyc"]]},{"rank" : 61,"comment" : "Irr: for a supersolvable group with known `IrrConlon'","location" : {"line" : 819,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSupersolvableGroup","Tester(IsSupersolvableGroup)","Tester(IrrConlon)"],["IsZeroCyc"]]},{"rank" : 60,"comment" : "Irr: for a supersolvable group (Baum-Clausen algorithm)","location" : {"line" : 834,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSupersolvableGroup","Tester(IsSupersolvableGroup)"],["IsZeroCyc"]]},{"rank" : 60,"comment" : "Irr: for a supersolvable group (Conlon's algorithm)","location" : {"line" : 809,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsSupersolvableGroup","Tester(IsSupersolvableGroup)"],["IsZeroCyc"]]},{"rank" : 56,"comment" : "Irr: Dixon\/Schneider","location" : {"line" : 2195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsZeroCyc"]]},{"rank" : 54,"comment" : "Irr: for a group, and a prime","location" : {"line" : 826,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Irr)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Irr): system setter","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Irr): default method, does nothing","location" : {"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrr"]},{"name" : "Tester(Irr)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrr"]},{"name" : "LinearCharacters","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]],[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 1016,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "LinearCharacters: system getter","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(LinearCharacters)"]]},{"rank" : 35,"comment" : "LinearCharacters: for a group (call the two-argument version)","location" : {"line" : 962,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "LinearCharacters: for a Brauer table","location" : {"line" : 1048,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "LinearCharacters: for an ordinary table","location" : {"line" : 1036,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 0,"comment" : "LinearCharacters: default method requiring categories and checking properties","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 56,"comment" : "LinearCharacters: for a group, and zero","location" : {"line" : 995,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsZeroCyc"]]},{"rank" : 54,"comment" : "LinearCharacters: for a group, and positive integer","location" : {"line" : 1011,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LinearCharacters)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LinearCharacters): system setter","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LinearCharacters): default method, does nothing","location" : {"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLinearCharacters"]},{"name" : "Tester(LinearCharacters)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1015,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLinearCharacters"]},{"name" : "IBr","type" : "GAP_Operation","filters" : [[["IsBrauerTable"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 1042,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "IBr: system getter","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IBr)"]]},{"rank" : 22,"comment" : "IBr: for a Brauer table","location" : {"line" : 945,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]}],"2args" : [{"rank" : 54,"comment" : "IBr: for a group, and a prime integer","location" : {"line" : 950,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IBr)","type" : "GAP_Operation","filters" : [[["IsBrauerTable"],[]]],"locations" : [{"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IBr): system setter","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IBr): default method, does nothing","location" : {"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIBr"]},{"name" : "Tester(IBr)","type" : "GAP_Operation","filters" : [[["IsBrauerTable"]]],"locations" : [{"line" : 1041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIBr"]},{"name" : "OrdinaryCharacterTable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "OrdinaryCharacterTable: system getter","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrdinaryCharacterTable)"]]},{"rank" : 35,"comment" : "OrdinaryCharacterTable: for a group","location" : {"line" : 1091,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "OrdinaryCharacterTable: default method requiring categories and checking properties","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrdinaryCharacterTable)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrdinaryCharacterTable): system setter","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrdinaryCharacterTable): default method, does nothing","location" : {"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrdinaryCharacterTable"]},{"name" : "Tester(OrdinaryCharacterTable)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrdinaryCharacterTable"]},{"name" : "IsAlmostSimpleCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsAlmostSimpleCharacterTable: system getter","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAlmostSimpleCharacterTable)"]]},{"rank" : 22,"comment" : "IsAlmostSimpleCharacterTable: for an ordinary character table","location" : {"line" : 1360,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAlmostSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAlmostSimpleCharacterTable): system setter","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAlmostSimpleCharacterTable): default method, does nothing","location" : {"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAlmostSimpleCharacterTable"]},{"name" : "Tester(IsAlmostSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1228,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonomialCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsMonomialCharacterTable: system getter","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonomialCharacterTable)"]]},{"rank" : 23,"comment" : "IsMonomialCharacterTable: for an ordinary character table with underlying group","location" : {"line" : 1222,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable","Tester(UnderlyingGroup)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonomialCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonomialCharacterTable): system setter","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonomialCharacterTable): default method, does nothing","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonomialCharacterTable"]},{"name" : "Tester(IsMonomialCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNilpotentCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsNilpotentCharacterTable: system getter","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNilpotentCharacterTable)"]]},{"rank" : 22,"comment" : "IsNilpotentCharacterTable: for an ordinary character table","location" : {"line" : 1280,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNilpotentCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNilpotentCharacterTable): system setter","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNilpotentCharacterTable): default method, does nothing","location" : {"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNilpotentCharacterTable"]},{"name" : "Tester(IsNilpotentCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPerfectCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsPerfectCharacterTable: system getter","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPerfectCharacterTable)"]]},{"rank" : 22,"comment" : "IsPerfectCharacterTable: for an ordinary character table","location" : {"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPerfectCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPerfectCharacterTable): system setter","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPerfectCharacterTable): default method, does nothing","location" : {"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPerfectCharacterTable"]},{"name" : "Tester(IsPerfectCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1231,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSimpleCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsSimpleCharacterTable: system getter","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSimpleCharacterTable)"]]},{"rank" : 22,"comment" : "IsSimpleCharacterTable: for an ordinary character table","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSimpleCharacterTable): system setter","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSimpleCharacterTable): default method, does nothing","location" : {"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSimpleCharacterTable"]},{"name" : "Tester(IsSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1232,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSolvableCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsSolvableCharacterTable: system getter","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSolvableCharacterTable)"]]},{"rank" : 22,"comment" : "IsSolvableCharacterTable: for an ordinary character table","location" : {"line" : 1370,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSolvableCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSolvableCharacterTable): system setter","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSolvableCharacterTable): default method, does nothing","location" : {"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSolubleCharacterTable","SetIsSolvableCharacterTable"]},{"name" : "Tester(IsSolvableCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSporadicSimpleCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsSporadicSimpleCharacterTable: system getter","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSporadicSimpleCharacterTable)"]]},{"rank" : 22,"comment" : "IsSporadicSimpleCharacterTable: for an ordinary character table","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSporadicSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSporadicSimpleCharacterTable): system setter","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSporadicSimpleCharacterTable): default method, does nothing","location" : {"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSporadicSimpleCharacterTable"]},{"name" : "Tester(IsSporadicSimpleCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSupersolvableCharacterTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "IsSupersolvableCharacterTable: system getter","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSupersolvableCharacterTable)"]]},{"rank" : 22,"comment" : "IsSupersolvableCharacterTable: for an ordinary character table","location" : {"line" : 1403,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSupersolvableCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsBool"]]],"locations" : [{"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSupersolvableCharacterTable): system setter","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSupersolvableCharacterTable): default method, does nothing","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSupersolubleCharacterTable","SetIsSupersolvableCharacterTable"]},{"name" : "Tester(IsSupersolvableCharacterTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "OrdersClassRepresentatives","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "OrdersClassRepresentatives: system getter","location" : {"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrdersClassRepresentatives)"]]},{"rank" : 23,"comment" : "OrdersClassRepresentatives: for a character table with known group","location" : {"line" : 1600,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable","Tester(UnderlyingGroup)"]]},{"rank" : 22,"comment" : "OrdersClassRepresentatives: for a Brauer character table (delegate to the ordinary table)","location" : {"line" : 1594,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 20,"comment" : "OrdersClassRepresentatives: for a character table, use known power maps","location" : {"line" : 1629,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrdersClassRepresentatives)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrdersClassRepresentatives): system setter","location" : {"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrdersClassRepresentatives): default method, does nothing","location" : {"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrdersClassRepresentatives"]},{"name" : "Tester(OrdersClassRepresentatives)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrdersClassRepresentatives"]},{"name" : "SizesCentralizers","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "SizesCentralizers: system getter","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(SizesCentralizers)"]]},{"rank" : 22,"comment" : "SizesCentralizers: for a Brauer character table","location" : {"line" : 1647,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 20,"comment" : "SizesCentralizers: for a character table","location" : {"line" : 1669,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SizesCentralizers)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SizesCentralizers): system setter","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SizesCentralizers): default method, does nothing","location" : {"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSizesCentralisers","SetSizesCentralizers"]},{"name" : "Tester(SizesCentralizers)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1368,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSizesCentralisers","HasSizesCentralizers"]},{"name" : "SizesConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "SizesConjugacyClasses: system getter","location" : {"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(SizesConjugacyClasses)"]]},{"rank" : 22,"comment" : "SizesConjugacyClasses: for a Brauer character table","location" : {"line" : 1688,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 20,"comment" : "SizesConjugacyClasses: for a character table ","location" : {"line" : 1706,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SizesConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SizesConjugacyClasses): system setter","location" : {"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SizesConjugacyClasses): default method, does nothing","location" : {"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSizesConjugacyClasses"]},{"name" : "Tester(SizesConjugacyClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSizesConjugacyClasses"]},{"name" : "AutomorphismsOfTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "AutomorphismsOfTable: system getter","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(AutomorphismsOfTable)"]]},{"rank" : 22,"comment" : "AutomorphismsOfTable: for a Brauer table in the case of good reduction","location" : {"line" : 1734,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 21,"comment" : "AutomorphismsOfTable: for a character table","location" : {"line" : 1716,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(AutomorphismsOfTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(AutomorphismsOfTable): system setter","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(AutomorphismsOfTable): default method, does nothing","location" : {"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAutomorphismsOfTable"]},{"name" : "Tester(AutomorphismsOfTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1424,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAutomorphismsOfTable"]},{"name" : "UnderlyingCharacteristic","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "UnderlyingCharacteristic: system getter","location" : {"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingCharacteristic)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingCharacteristic)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingCharacteristic): system setter","location" : {"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingCharacteristic): default method, does nothing","location" : {"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingCharacteristic"]},{"name" : "Tester(UnderlyingCharacteristic)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1466,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingCharacteristic"]},{"name" : "ClassNames","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsString"]]],"locations" : [{"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 1519,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "ClassNames: system getter","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassNames)"]]},{"rank" : 20,"comment" : "ClassNames","location" : {"line" : 1744,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [{"rank" : 25,"comment" : "ClassNames","location" : {"line" : 1828,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassNames)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassNames): system setter","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassNames): default method, does nothing","location" : {"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassNames"]},{"name" : "Tester(ClassNames)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassNames"]},{"name" : "CharacterNames","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "CharacterNames: system getter","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(CharacterNames)"]]},{"rank" : 20,"comment" : "CharacterNames","location" : {"line" : 1838,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CharacterNames)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CharacterNames): system setter","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CharacterNames): default method, does nothing","location" : {"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacterNames"]},{"name" : "Tester(CharacterNames)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1522,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacterNames"]},{"name" : "ClassParameters","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "ClassParameters: system getter","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassParameters)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassParameters)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassParameters): system setter","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassParameters): default method, does nothing","location" : {"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassParameters"]},{"name" : "Tester(ClassParameters)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1578,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassParameters"]},{"name" : "CharacterParameters","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "CharacterParameters: system getter","location" : {"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(CharacterParameters)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CharacterParameters)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CharacterParameters): system setter","location" : {"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CharacterParameters): default method, does nothing","location" : {"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacterParameters"]},{"name" : "Tester(CharacterParameters)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacterParameters"]},{"name" : "Identifier","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsTableOfMarks"]]],"locations" : [{"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "Identifier: system getter","location" : {"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(Identifier)"]]},{"rank" : 22,"comment" : "Identifier: for a Brauer table","location" : {"line" : 2535,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "Identifier: for an ordinary table","location" : {"line" : 2523,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Identifier)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]],[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Identifier): system setter","location" : {"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Identifier): default method, does nothing","location" : {"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdentifier"]},{"name" : "Tester(Identifier)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1624,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdentifier"]},{"name" : "InverseClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "InverseClasses: system getter","location" : {"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(InverseClasses)"]]},{"rank" : 57,"comment" : "InverseClasses: for a character table with known irreducibles","location" : {"line" : 2582,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable","Tester(Irr)"]]},{"rank" : 21,"comment" : "InverseClasses: for a character table","location" : {"line" : 2601,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(InverseClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(InverseClasses): system setter","location" : {"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(InverseClasses): default method, does nothing","location" : {"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetInverseClasses"]},{"name" : "Tester(InverseClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1708,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasInverseClasses"]},{"name" : "RealClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "RealClasses: system getter","location" : {"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(RealClasses)"]]},{"rank" : 21,"comment" : "RealClasses: for a character table","location" : {"line" : 2615,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(RealClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(RealClasses): system setter","location" : {"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(RealClasses): default method, does nothing","location" : {"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetRealClasses"]},{"name" : "Tester(RealClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1738,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasRealClasses"]},{"name" : "ClassOrbit","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1767,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "ClassOrbit: for a character table, and a positive integer","location" : {"line" : 2639,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClassOrbit"]},{"name" : "ClassRoots","type" : "GAP_Operation","filters" : [[["IsCharacterTable"]]],"locations" : [{"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "ClassRoots: system getter","location" : {"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassRoots)"]]},{"rank" : 21,"comment" : "ClassRoots: for a character table","location" : {"line" : 2667,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassRoots)","type" : "GAP_Operation","filters" : [[["IsCharacterTable"],[]]],"locations" : [{"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassRoots): system setter","location" : {"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassRoots): default method, does nothing","location" : {"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassRoots"]},{"name" : "Tester(ClassRoots)","type" : "GAP_Operation","filters" : [[["IsCharacterTable"]]],"locations" : [{"line" : 1797,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassRoots"]},{"name" : "ClassPositionsOfNormalSubgroups","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfNormalSubgroups: system getter","location" : {"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfNormalSubgroups)"]]},{"rank" : 22,"comment" : "ClassPositionsOfNormalSubgroups: for an ordinary character table","location" : {"line" : 1913,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfNormalSubgroups): system setter","location" : {"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfNormalSubgroups): default method, does nothing","location" : {"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfNormalSubgroups"]},{"name" : "Tester(ClassPositionsOfNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1848,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfNormalSubgroups"]},{"name" : "ClassPositionsOfMaximalNormalSubgroups","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfMaximalNormalSubgroups: system getter","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfMaximalNormalSubgroups)"]]},{"rank" : 22,"comment" : "ClassPositionsOfMaximalNormalSubgroups: for an ordinary character table","location" : {"line" : 1951,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfMaximalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfMaximalNormalSubgroups): system setter","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfMaximalNormalSubgroups): default method, does nothing","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfMaximalNormalSubgroups"]},{"name" : "Tester(ClassPositionsOfMaximalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfMaximalNormalSubgroups"]},{"name" : "ClassPositionsOfMinimalNormalSubgroups","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfMinimalNormalSubgroups: system getter","location" : {"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfMinimalNormalSubgroups)"]]},{"rank" : 22,"comment" : "ClassPositionsOfMinimalNormalSubgroups: for an ordinary character table","location" : {"line" : 1989,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfMinimalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfMinimalNormalSubgroups): system setter","location" : {"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfMinimalNormalSubgroups): default method, does nothing","location" : {"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfMinimalNormalSubgroups"]},{"name" : "Tester(ClassPositionsOfMinimalNormalSubgroups)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfMinimalNormalSubgroups"]},{"name" : "ClassPositionsOfAgemo","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1878,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "ClassPositionsOfAgemo: for an ordinary table","location" : {"line" : 2001,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClassPositionsOfAgemo"]},{"name" : "ClassPositionsOfCentre","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]],[["IsHomogeneousList"]]],"locations" : [{"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfCentre: system getter","location" : {"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfCentre)"]]},{"rank" : 22,"comment" : "ClassPositionsOfCentre: for an ordinary table","location" : {"line" : 2016,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 4,"comment" : "ClassPositionsOfCentre: for a homogeneous list","location" : {"line" : 1822,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfCentre)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]],[["IsHomogeneousList"],[]]],"locations" : [{"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfCentre): system setter","location" : {"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfCentre): default method, does nothing","location" : {"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfCenter","SetClassPositionsOfCentre"]},{"name" : "Tester(ClassPositionsOfCentre)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1905,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfCenter","HasClassPositionsOfCentre"]},{"name" : "ClassPositionsOfDirectProductDecompositions","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]],[["IsOrdinaryTable"],["IsList"]]],"locations" : [{"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 1941,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfDirectProductDecompositions: system getter","location" : {"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfDirectProductDecompositions)"]]},{"rank" : 22,"comment" : "ClassPositionsOfDirectProductDecompositions: for an ordinary table","location" : {"line" : 2062,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [{"rank" : 51,"comment" : "ClassPositionsOfDirectProductDecompositions: for an ordinary table, and a list of positive integers","location" : {"line" : 2075,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsList","CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfDirectProductDecompositions)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfDirectProductDecompositions): system setter","location" : {"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfDirectProductDecompositions): default method, does nothing","location" : {"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfDirectProductDecompositions"]},{"name" : "Tester(ClassPositionsOfDirectProductDecompositions)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1938,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfDirectProductDecompositions"]},{"name" : "ClassPositionsOfDerivedSubgroup","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfDerivedSubgroup: system getter","location" : {"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfDerivedSubgroup)"]]},{"rank" : 22,"comment" : "ClassPositionsOfDerivedSubgroup: for an ordinary table","location" : {"line" : 2098,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfDerivedSubgroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfDerivedSubgroup): system setter","location" : {"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfDerivedSubgroup): default method, does nothing","location" : {"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfDerivedSubgroup"]},{"name" : "Tester(ClassPositionsOfDerivedSubgroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1965,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfDerivedSubgroup"]},{"name" : "ClassPositionsOfElementaryAbelianSeries","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfElementaryAbelianSeries: system getter","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfElementaryAbelianSeries)"]]},{"rank" : 22,"comment" : "ClassPositionsOfElementaryAbelianSeries: for an ordinary table","location" : {"line" : 2148,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfElementaryAbelianSeries): system setter","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfElementaryAbelianSeries): default method, does nothing","location" : {"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfElementaryAbelianSeries"]},{"name" : "Tester(ClassPositionsOfElementaryAbelianSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 1993,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfElementaryAbelianSeries"]},{"name" : "ClassPositionsOfFittingSubgroup","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfFittingSubgroup: system getter","location" : {"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfFittingSubgroup)"]]},{"rank" : 22,"comment" : "ClassPositionsOfFittingSubgroup: for an ordinary table","location" : {"line" : 2181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfFittingSubgroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfFittingSubgroup): system setter","location" : {"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfFittingSubgroup): default method, does nothing","location" : {"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfFittingSubgroup"]},{"name" : "Tester(ClassPositionsOfFittingSubgroup)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfFittingSubgroup"]},{"name" : "ClassPositionsOfSolvableRadical","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfSolvableRadical: system getter","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfSolvableRadical)"]]},{"rank" : 22,"comment" : "ClassPositionsOfSolvableRadical: for an ordinary table","location" : {"line" : 2206,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfSolvableRadical)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfSolvableRadical): system setter","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfSolvableRadical): default method, does nothing","location" : {"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfSolvableRadical"]},{"name" : "Tester(ClassPositionsOfSolvableRadical)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2039,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfSolvableRadical"]},{"name" : "ClassPositionsOfLowerCentralSeries","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfLowerCentralSeries: system getter","location" : {"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfLowerCentralSeries)"]]},{"rank" : 22,"comment" : "ClassPositionsOfLowerCentralSeries: for an ordinary table","location" : {"line" : 2282,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfLowerCentralSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfLowerCentralSeries): system setter","location" : {"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfLowerCentralSeries): default method, does nothing","location" : {"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfLowerCentralSeries"]},{"name" : "Tester(ClassPositionsOfLowerCentralSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfLowerCentralSeries"]},{"name" : "ClassPositionsOfUpperCentralSeries","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfUpperCentralSeries: system getter","location" : {"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfUpperCentralSeries)"]]},{"rank" : 22,"comment" : "ClassPositionsOfUpperCentralSeries: for an ordinary table","location" : {"line" : 2345,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfUpperCentralSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfUpperCentralSeries): system setter","location" : {"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfUpperCentralSeries): default method, does nothing","location" : {"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfUpperCentralSeries"]},{"name" : "Tester(ClassPositionsOfUpperCentralSeries)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfUpperCentralSeries"]},{"name" : "ClassPositionsOfSolvableResiduum","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfSolvableResiduum: system getter","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfSolvableResiduum)"]]},{"rank" : 22,"comment" : "ClassPositionsOfSolvableResiduum: for an ordinary table","location" : {"line" : 2397,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfSolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfSolvableResiduum): system setter","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfSolvableResiduum): default method, does nothing","location" : {"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfSolubleResiduum","SetClassPositionsOfSolvableResiduum"]},{"name" : "Tester(ClassPositionsOfSolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfSolubleResiduum","HasClassPositionsOfSolvableResiduum"]},{"name" : "ClassPositionsOfSupersolvableResiduum","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ClassPositionsOfSupersolvableResiduum: system getter","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfSupersolvableResiduum)"]]},{"rank" : 22,"comment" : "ClassPositionsOfSupersolvableResiduum: for an ordinary table","location" : {"line" : 2449,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfSupersolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfSupersolvableResiduum): system setter","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfSupersolvableResiduum): default method, does nothing","location" : {"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfSupersolvableResiduum"]},{"name" : "Tester(ClassPositionsOfSupersolvableResiduum)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfSupersolvableResiduum"]},{"name" : "ClassPositionsOfPCore","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2197,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "ClassPositionsOfPCore: for an ordinary table and a pos. integer","location" : {"line" : 2480,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClassPositionsOfPCore"]},{"name" : "ClassPositionsOfNormalClosure","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsHomogeneousList","CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 2224,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 51,"comment" : "ClassPositionsOfNormalClosure: for an ordinary table","location" : {"line" : 2504,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList","CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClassPositionsOfNormalClosure"]},{"name" : "PrimeBlocks","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2323,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "PrimeBlocks: for an ordinary table, and a positive integer","location" : {"line" : 2748,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrimeBlocks"]},{"name" : "PrimeBlocksOp","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2325,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "PrimeBlocksOp: for an ordinary table, and a positive integer","location" : {"line" : 2920,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PrimeBlocksOp"]},{"name" : "ComputedPrimeBlockss","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ComputedPrimeBlockss: system getter","location" : {"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedPrimeBlockss)"]]},{"rank" : 22,"comment" : "ComputedPrimeBlockss: for an ordinary table","location" : {"line" : 2930,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedPrimeBlockss)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedPrimeBlockss): system mutable setter","location" : {"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedPrimeBlockss): default method, does nothing","location" : {"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedPrimeBlockss"]},{"name" : "Tester(ComputedPrimeBlockss)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedPrimeBlockss"]},{"name" : "BlocksInfo","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "BlocksInfo: system getter","location" : {"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(BlocksInfo)"]]},{"rank" : 22,"comment" : "BlocksInfo: generic method for a Brauer character table","location" : {"line" : 3002,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BlocksInfo)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BlocksInfo): system mutable setter","location" : {"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BlocksInfo): default method, does nothing","location" : {"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBlocksInfo"]},{"name" : "Tester(BlocksInfo)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2440,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBlocksInfo"]},{"name" : "DecompositionMatrix","type" : "GAP_Operation","filters" : [[["IsBrauerTable"]],[["IsBrauerTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 2492,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "DecompositionMatrix: system getter","location" : {"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(DecompositionMatrix)"]]},{"rank" : 22,"comment" : "DecompositionMatrix: for a Brauer table","location" : {"line" : 3019,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]}],"2args" : [{"rank" : 41,"comment" : "DecompositionMatrix: for a Brauer table, and a positive integer","location" : {"line" : 3064,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DecompositionMatrix)","type" : "GAP_Operation","filters" : [[["IsBrauerTable"],[]]],"locations" : [{"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DecompositionMatrix): system setter","location" : {"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DecompositionMatrix): default method, does nothing","location" : {"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDecompositionMatrix"]},{"name" : "Tester(DecompositionMatrix)","type" : "GAP_Operation","filters" : [[["IsBrauerTable"]]],"locations" : [{"line" : 2491,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDecompositionMatrix"]},{"name" : "IsPSolvableCharacterTable","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt"]]],"locations" : [{"line" : 2658,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "IsPSolvableCharacterTable: for ord. char. table knowing `IsSolvableCharacterTable', and zero","location" : {"line" : 3711,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable","Tester(IsSolvableCharacterTable)"],["IsZeroCyc"]]},{"rank" : 43,"comment" : "IsPSolvableCharacterTable: for ord. char. table, and zero (call `IsPSolvableCharacterTableOp')","location" : {"line" : 3704,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsZeroCyc"]],"aka" : ["IsPSolubleCharacterTableOp","IsPSolvableCharacterTableOp"]},{"rank" : 41,"comment" : "IsPSolvableCharacterTable: for ord.char.table, and pos.int. (call `IsPSolvableCharacterTableOp')","location" : {"line" : 3733,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPSolubleCharacterTable","IsPSolvableCharacterTable"]},{"name" : "IsPSolvableCharacterTableOp","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt"]]],"locations" : [{"line" : 2660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "IsPSolvableCharacterTableOp: for an ordinary character table, an an integer","location" : {"line" : 3784,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ComputedIsPSolvableCharacterTables","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ComputedIsPSolvableCharacterTables: system getter","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedIsPSolvableCharacterTables)"]]},{"rank" : 22,"comment" : "ComputedIsPSolvableCharacterTables: for an ordinary character table","location" : {"line" : 3794,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedIsPSolvableCharacterTables)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedIsPSolvableCharacterTables): system mutable setter","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedIsPSolvableCharacterTables): default method, does nothing","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedIsPSolvableCharacterTables"]},{"name" : "Tester(ComputedIsPSolvableCharacterTables)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedIsPSolvableCharacterTables"]},{"name" : "Indicator","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsInt","IsPosRat"]],[["IsNearlyCharacterTable"],["IsList"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2741,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 2743,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 40,"comment" : "Indicator: for a character table, and a positive integer","location" : {"line" : 3855,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 44,"comment" : "Indicator: for a character table, a homogeneous list, and a positive integer","location" : {"line" : 3865,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]],"aka" : ["IndicatorOp"]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Indicator"]},{"name" : "IndicatorOp","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsList"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2746,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 45,"comment" : "IndicatorOp: for a Brauer character table and <n> = 2","location" : {"line" : 3940,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]},{"rank" : 45,"comment" : "IndicatorOp: for an ord. character table, a hom. list, and a pos. integer","location" : {"line" : 3883,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "ComputedIndicators","type" : "GAP_Operation","filters" : [[["IsCharacterTable"]]],"locations" : [{"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20024,"comment" : "ComputedIndicators: system getter","location" : {"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedIndicators)"]]},{"rank" : 21,"comment" : "ComputedIndicators: for a character table","location" : {"line" : 3950,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedIndicators)","type" : "GAP_Operation","filters" : [[["IsCharacterTable"],[]]],"locations" : [{"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedIndicators): system mutable setter","location" : {"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedIndicators): default method, does nothing","location" : {"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedIndicators"]},{"name" : "Tester(ComputedIndicators)","type" : "GAP_Operation","filters" : [[["IsCharacterTable"]]],"locations" : [{"line" : 2749,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedIndicators"]},{"name" : "CharacterTable","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]],[["IsOrdinaryTable"],["IsInt"]],[["IsString"]]],"locations" : [{"line" : 3055,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3056,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3057,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3058,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "CharacterTable: for a group (delegate to `OrdinaryCharacterTable')","location" : {"line" : 4087,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 5,"comment" : "CharacterTable: for a string","location" : {"line" : 4119,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsString"]]}],"2args" : [{"rank" : 53,"comment" : "CharacterTable: for a group, and a prime integer","location" : {"line" : 4098,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt"]]},{"rank" : 41,"comment" : "CharacterTable: for an ordinary table, and a prime integer","location" : {"line" : 4103,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]},{"rank" : 5,"comment" : "CharacterTable: for a string and an object","location" : {"line" : 4126,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsString"],[]]}],"3args" : [{"rank" : 5,"comment" : "CharacterTable: for a string and two objects","location" : {"line" : 4133,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsString"],[],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CharacterTable"]},{"name" : "BrauerTable","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3108,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3109,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 54,"comment" : "BrauerTable: for a group, and a prime (delegate to the ord. table of the group)","location" : {"line" : 4149,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsInt","IsPosRat"]]},{"rank" : 41,"comment" : "BrauerTable: for an ordinary table, and a prime","location" : {"line" : 4172,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "BrauerTableOp","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 3111,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "BrauerTableOp: for ordinary character table, and positive integer","location" : {"line" : 4233,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BrauerTableOp"]},{"name" : "ComputedBrauerTables","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "ComputedBrauerTables: system getter","location" : {"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedBrauerTables)"]]},{"rank" : 22,"comment" : "ComputedBrauerTables: for an ordinary character table","location" : {"line" : 4243,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedBrauerTables)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedBrauerTables): system mutable setter","location" : {"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedBrauerTables): default method, does nothing","location" : {"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedBrauerTables"]},{"name" : "Tester(ComputedBrauerTables)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 3113,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedBrauerTables"]},{"name" : "DisplayOptions","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "DisplayOptions: system getter","location" : {"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(DisplayOptions)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DisplayOptions)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DisplayOptions): system setter","location" : {"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DisplayOptions): default method, does nothing","location" : {"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDisplayOptions"]},{"name" : "Tester(DisplayOptions)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDisplayOptions"]},{"name" : "CharacterTableDirectProduct","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3704,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "CharacterTableDirectProduct: for two Brauer character tables","location" : {"line" : 5528,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsBrauerTable"]]},{"rank" : 44,"comment" : "CharacterTableDirectProduct: for one ordinary and one Brauer character table","location" : {"line" : 5458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsBrauerTable"]]},{"rank" : 44,"comment" : "CharacterTableDirectProduct: for one Brauer table, and one ordinary character table","location" : {"line" : 5396,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsOrdinaryTable"]]},{"rank" : 44,"comment" : "CharacterTableDirectProduct: for two ordinary character tables","location" : {"line" : 5334,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsOrdinaryTable"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "FactorsOfDirectProduct","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "FactorsOfDirectProduct: system getter","location" : {"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(FactorsOfDirectProduct)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FactorsOfDirectProduct)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FactorsOfDirectProduct): system setter","location" : {"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FactorsOfDirectProduct): default method, does nothing","location" : {"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFactorsOfDirectProduct"]},{"name" : "Tester(FactorsOfDirectProduct)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3728,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFactorsOfDirectProduct"]},{"name" : "CharacterTableFactorGroup","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 3792,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 51,"comment" : "CharacterTableFactorGroup: for a Brauer table, and a list of class positions","location" : {"line" : 5690,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 51,"comment" : "CharacterTableFactorGroup: for an ordinary table, and a list of class positions","location" : {"line" : 5652,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsList","CategoryCollections(IsCyclotomic)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "CharacterTableIsoclinic","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsList","CategoryCollections(IsCyclotomic)"]],[["IsNearlyCharacterTable"],["IsInt","IsPosRat"]],[["IsNearlyCharacterTable"],["IsList","CategoryCollections(IsCyclotomic)"],["IsInt","IsPosRat"]],[["IsNearlyCharacterTable"],["IsList","CategoryCollections(IsCyclotomic)"],["IsList","CategoryCollections(IsCyclotomic)"]]],"locations" : [{"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3861,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3863,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3865,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3868,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "CharacterTableIsoclinic: system getter","location" : {"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(CharacterTableIsoclinic)"]]},{"rank" : 22,"comment" : "CharacterTableIsoclinic: for a Brauer table","location" : {"line" : 6004,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"]]},{"rank" : 22,"comment" : "CharacterTableIsoclinic: for an ordinary character table","location" : {"line" : 5700,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [{"rank" : 51,"comment" : "CharacterTableIsoclinic: for a Brauer table and a list of classes","location" : {"line" : 6011,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 51,"comment" : "CharacterTableIsoclinic: for an ordinary character table and a list of classes","location" : {"line" : 5712,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 44,"comment" : "CharacterTableIsoclinic: for a Brauer table and an ordinary table","location" : {"line" : 6085,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsOrdinaryTable"]]},{"rank" : 41,"comment" : "CharacterTableIsoclinic: for a Brauer table and a class pos.","location" : {"line" : 6018,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],["IsInt","IsPosRat"]]},{"rank" : 41,"comment" : "CharacterTableIsoclinic: for an ordinary character table and a class pos.","location" : {"line" : 5724,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 22,"comment" : "CharacterTableIsoclinic: for a Brauer table and two lists of class positions","location" : {"line" : 6026,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsBrauerTable"],[],[]]},{"rank" : 22,"comment" : "CharacterTableIsoclinic: for an ordinary character table and two lists of class positions","location" : {"line" : 5990,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],[],[]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CharacterTableIsoclinic)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CharacterTableIsoclinic): system setter","location" : {"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CharacterTableIsoclinic): default method, does nothing","location" : {"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCharacterTableIsoclinic"]},{"name" : "Tester(CharacterTableIsoclinic)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCharacterTableIsoclinic"]},{"name" : "SourceOfIsoclinicTable","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "SourceOfIsoclinicTable: system getter","location" : {"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(SourceOfIsoclinicTable)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SourceOfIsoclinicTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SourceOfIsoclinicTable): system setter","location" : {"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SourceOfIsoclinicTable): default method, does nothing","location" : {"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSourceOfIsoclinicTable"]},{"name" : "Tester(SourceOfIsoclinicTable)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 3871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSourceOfIsoclinicTable"]},{"name" : "CharacterTableWithSortedCharacters","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsPerm"]]],"locations" : [{"line" : 3969,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 3971,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "CharacterTableWithSortedCharacters: for a character table","location" : {"line" : 6292,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [{"rank" : 30,"comment" : "CharacterTableWithSortedCharacters: for an ordinary character table, and a permutation","location" : {"line" : 6328,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsPerm"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CharacterTableWithSortedCharacters"]},{"name" : "SortedCharacters","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsHomogeneousList"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsString"]]],"locations" : [{"line" : 4006,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 4008,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "SortedCharacters: for a character table, and a homogeneous list","location" : {"line" : 6341,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 29,"comment" : "SortedCharacters: for a character table, a homogeneous list, and a string","location" : {"line" : 6362,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SortedCharacters"]},{"name" : "CharacterTableWithSortedClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsString"]],[["IsNearlyCharacterTable"],["IsPerm"]]],"locations" : [{"line" : 4076,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 4078,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},{"line" : 4080,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 21,"comment" : "CharacterTableWithSortedClasses: for a character table","location" : {"line" : 6439,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"]]}],"2args" : [{"rank" : 30,"comment" : "CharacterTableWithSortedClasses: for an ordinary character table, and a permutation","location" : {"line" : 6555,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"],["IsPerm"]]},{"rank" : 26,"comment" : "CharacterTableWithSortedClasses: for a character table, and string","location" : {"line" : 6460,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsCharacterTable"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CharacterTableWithSortedClasses"]},{"name" : "ClassPermutation","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "ClassPermutation: system getter","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPermutation)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPermutation)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPermutation): system setter","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPermutation): default method, does nothing","location" : {"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPermutation"]},{"name" : "Tester(ClassPermutation)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 4229,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPermutation"]},{"name" : "NormalSubgroupClassesInfo","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20025,"comment" : "NormalSubgroupClassesInfo: system getter","location" : {"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalSubgroupClassesInfo)"]]},{"rank" : 22,"comment" : "NormalSubgroupClassesInfo: default method, initialization","location" : {"line" : 6712,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalSubgroupClassesInfo)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],[]]],"locations" : [{"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalSubgroupClassesInfo): system mutable setter","location" : {"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalSubgroupClassesInfo): default method, does nothing","location" : {"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalSubgroupClassesInfo"]},{"name" : "Tester(NormalSubgroupClassesInfo)","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]]],"locations" : [{"line" : 4301,"file" : "\/home\/makx\/ac\/gap\/lib\/ctbl.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalSubgroupClassesInfo"]},{"name" : "UnderlyingCharacterTable","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "UnderlyingCharacterTable: system getter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(UnderlyingCharacterTable)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(UnderlyingCharacterTable)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(UnderlyingCharacterTable): system setter","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(UnderlyingCharacterTable): default method, does nothing","location" : {"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetUnderlyingCharacterTable"]},{"name" : "Tester(UnderlyingCharacterTable)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 308,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasUnderlyingCharacterTable"]},{"name" : "ValuesOfClassFunction","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "ValuesOfClassFunction: system getter","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(ValuesOfClassFunction)"]]},{"rank" : 3,"comment" : "ValuesOfClassFunction: for a dense list","location" : {"line" : 61,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsDenseList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ValuesOfClassFunction)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ValuesOfClassFunction): system setter","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ValuesOfClassFunction): default method, does nothing","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetValuesOfClassFunction"]},{"name" : "Tester(ValuesOfClassFunction)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasValuesOfClassFunction"]},{"name" : "GlobalPartitionOfClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "GlobalPartitionOfClasses: system getter","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(GlobalPartitionOfClasses)"]]},{"rank" : 22,"comment" : "GlobalPartitionOfClasses: for an ordinary character table","location" : {"line" : 674,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GlobalPartitionOfClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GlobalPartitionOfClasses): system setter","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GlobalPartitionOfClasses): default method, does nothing","location" : {"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGlobalPartitionOfClasses"]},{"name" : "Tester(GlobalPartitionOfClasses)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 683,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGlobalPartitionOfClasses"]},{"name" : "CorrespondingPermutations","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsClassFunction"],["IsHomogeneousList"]]],"locations" : [{"line" : 716,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 718,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "CorrespondingPermutations: for character table and list of group elements","location" : {"line" : 845,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 30,"comment" : "CorrespondingPermutations: for a char. table, a hom. list, and a list of group elements","location" : {"line" : 1020,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CorrespondingPermutations"]},{"name" : "ClassFunction","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsDenseList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]],"locations" : [{"line" : 830,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 831,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "ClassFunction: for a group, and a dense list","location" : {"line" : 1223,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]},{"rank" : 23,"comment" : "ClassFunction: for nearly character table, and dense list","location" : {"line" : 1211,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsDenseList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ClassFunction"]},{"name" : "VirtualCharacter","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsDenseList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]],"locations" : [{"line" : 860,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 861,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "VirtualCharacter: for a group, and a dense list","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]},{"rank" : 23,"comment" : "VirtualCharacter: for nearly character table, and dense list","location" : {"line" : 1237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsDenseList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["VirtualCharacter"]},{"name" : "Character","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsDenseList"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]],"locations" : [{"line" : 902,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 903,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "Character: for a group, and a dense list","location" : {"line" : 1275,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsDenseList"]]},{"rank" : 23,"comment" : "Character: for nearly character table, and dense list","location" : {"line" : 1263,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsDenseList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Character"]},{"name" : "TrivialCharacter","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "TrivialCharacter: system getter","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(TrivialCharacter)"]]},{"rank" : 35,"comment" : "TrivialCharacter: for a group (delegate to the table)","location" : {"line" : 1320,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 20,"comment" : "TrivialCharacter: for a character table","location" : {"line" : 1310,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TrivialCharacter)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TrivialCharacter): system setter","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TrivialCharacter): default method, does nothing","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTrivialCharacter"]},{"name" : "Tester(TrivialCharacter)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTrivialCharacter"]},{"name" : "NaturalCharacter","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsGeneralMapping"]]],"locations" : [{"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "NaturalCharacter: system getter","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(NaturalCharacter)"]]},{"rank" : 58,"comment" : "NaturalCharacter: for a permutation group","location" : {"line" : 1337,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "NaturalCharacter: for a matrix group in characteristic zero","location" : {"line" : 1357,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 7,"comment" : "NaturalCharacter: for a group general mapping","location" : {"line" : 1396,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsGeneralMapping"]]},{"rank" : 0,"comment" : "NaturalCharacter: default method requiring categories and checking properties","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NaturalCharacter)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsGeneralMapping"],[]]],"locations" : [{"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NaturalCharacter): system setter","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NaturalCharacter): default method, does nothing","location" : {"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNaturalCharacter"]},{"name" : "Tester(NaturalCharacter)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1024,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNaturalCharacter"]},{"name" : "PermutationCharacter","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection"],["IsFunction"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 1081,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1082,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 70,"comment" : "PermutationCharacter: for two groups (use double cosets)","location" : {"line" : 1438,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"3args" : [{"rank" : 38,"comment" : "PermutationCharacter: group action on domain","location" : {"line" : 1411,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsCollection"],["IsFunction"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermutationCharacter"]},{"name" : "IsCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1123,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsCharacter: system getter","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCharacter)"]]},{"rank" : 33,"comment" : "IsCharacter: for a virtual character","location" : {"line" : 1475,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsVirtualCharacter","Tester(IsVirtualCharacter)"]]},{"rank" : 31,"comment" : "IsCharacter: for a class function","location" : {"line" : 1487,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "IsCharacter: for a Brauer table, and a homogeneous list","location" : {"line" : 1523,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsBrauerTable"],["IsHomogeneousList"]]},{"rank" : 26,"comment" : "IsCharacter: for an ordinary character table, and a homogeneous list","location" : {"line" : 1508,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCharacter): system setter","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCharacter): default method, does nothing","location" : {"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCharacter"]},{"name" : "Tester(IsCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1122,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsVirtualCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsVirtualCharacter: system getter","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsVirtualCharacter)"]]},{"rank" : 31,"comment" : "IsVirtualCharacter: for a class function","location" : {"line" : 1534,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "IsVirtualCharacter: for an ordinary character table, and a homogeneous list","location" : {"line" : 1549,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsVirtualCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsVirtualCharacter): system setter","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsVirtualCharacter): default method, does nothing","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsVirtualCharacter"]},{"name" : "Tester(IsVirtualCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsIrreducibleCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1197,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsIrreducibleCharacter: system getter","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsIrreducibleCharacter)"]]},{"rank" : 31,"comment" : "IsIrreducibleCharacter: for a class function","location" : {"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "IsIrreducibleCharacter: for a Brauer table, and a homogeneous list","location" : {"line" : 1598,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsBrauerTable"],["IsHomogeneousList"]]},{"rank" : 26,"comment" : "IsIrreducibleCharacter: for an ordinary character table, and a homogeneous list","location" : {"line" : 1576,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsIrreducibleCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsIrreducibleCharacter): system setter","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsIrreducibleCharacter): default method, does nothing","location" : {"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsIrreducibleCharacter"]},{"name" : "Tester(IsIrreducibleCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1195,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "MatScalarProducts","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]],[["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1266,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1268,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1271,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "MatScalarProducts: for a homogeneous list","location" : {"line" : 1673,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [{"rank" : 26,"comment" : "MatScalarProducts: for an ordinary table, and a homogeneous list","location" : {"line" : 1751,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "MatScalarProducts: for two homogeneous lists","location" : {"line" : 1660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 30,"comment" : "MatScalarProducts: for an ordinary table, and two homogeneous lists","location" : {"line" : 1712,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MatScalarProducts"]},{"name" : "CentreOfCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1357,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "CentreOfCharacter: system getter","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentreOfCharacter)"]]},{"rank" : 31,"comment" : "CentreOfCharacter: for a class function","location" : {"line" : 1779,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "CentreOfCharacter: for an ordinary table, and a homogeneous list ","location" : {"line" : 1789,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentreOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentreOfCharacter): system setter","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentreOfCharacter): default method, does nothing","location" : {"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentreOfCharacter"]},{"name" : "Tester(CentreOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1355,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentreOfCharacter"]},{"name" : "ConstituentsOfCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1410,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "ConstituentsOfCharacter: system getter","location" : {"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(ConstituentsOfCharacter)"]]},{"rank" : 35,"comment" : "ConstituentsOfCharacter: for a character","location" : {"line" : 1865,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction","IsCharacter","Tester(IsCharacter)"]]},{"rank" : 31,"comment" : "ConstituentsOfCharacter","location" : {"line" : 1831,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "ConstituentsOfCharacter: for a Brauer table, and a homogeneous list","location" : {"line" : 1908,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsBrauerTable"],["IsHomogeneousList"]]},{"rank" : 26,"comment" : "ConstituentsOfCharacter: for an ordinary table, and a homogeneous list","location" : {"line" : 1893,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ConstituentsOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ConstituentsOfCharacter): system setter","location" : {"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ConstituentsOfCharacter): default method, does nothing","location" : {"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetConstituentsOfCharacter"]},{"name" : "Tester(ConstituentsOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1408,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasConstituentsOfCharacter"]},{"name" : "DegreeOfCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "DegreeOfCharacter: system getter","location" : {"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(DegreeOfCharacter)"]]},{"rank" : 31,"comment" : "DegreeOfCharacter: for a class function","location" : {"line" : 1918,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DegreeOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DegreeOfCharacter): system setter","location" : {"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DegreeOfCharacter): default method, does nothing","location" : {"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDegreeOfCharacter"]},{"name" : "Tester(DegreeOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDegreeOfCharacter"]},{"name" : "InertiaSubgroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsClassFunction"]],[["IsOrdinaryTable"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsHomogeneousList"]]],"locations" : [{"line" : 1474,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1476,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 66,"comment" : "InertiaSubgroup: for a group, and a class function","location" : {"line" : 1931,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsClassFunction"]]}],"3args" : [{"rank" : 61,"comment" : "InertiaSubgroup: for an ordinary table, a group, and a homogeneous list","location" : {"line" : 2023,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InertiaSubgroup"]},{"name" : "KernelOfCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1512,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "KernelOfCharacter: system getter","location" : {"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(KernelOfCharacter)"]]},{"rank" : 31,"comment" : "KernelOfCharacter: for a class function","location" : {"line" : 2034,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "KernelOfCharacter: for an ordinary table, and a homogeneous list","location" : {"line" : 2041,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(KernelOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(KernelOfCharacter): system setter","location" : {"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(KernelOfCharacter): default method, does nothing","location" : {"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetKernelOfCharacter"]},{"name" : "Tester(KernelOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1510,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasKernelOfCharacter"]},{"name" : "ClassPositionsOfKernel","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]]],"locations" : [{"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20007,"comment" : "ClassPositionsOfKernel: system getter","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassPositionsOfKernel)"]]},{"rank" : 4,"comment" : "ClassPositionsOfKernel: for a homogeneous list","location" : {"line" : 2055,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassPositionsOfKernel)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],[]]],"locations" : [{"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassPositionsOfKernel): system setter","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassPositionsOfKernel): default method, does nothing","location" : {"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassPositionsOfKernel"]},{"name" : "Tester(ClassPositionsOfKernel)","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"]]],"locations" : [{"line" : 1536,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassPositionsOfKernel"]},{"name" : "CycleStructureClass","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]],[["IsClassFunction"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 50,"comment" : "CycleStructureClass: for a class function, and a class position","location" : {"line" : 2072,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 45,"comment" : "CycleStructureClass: for an ordinary table, a list, and a class position","location" : {"line" : 2115,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CycleStructureClass"]},{"name" : "CentralCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1650,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "CentralCharacter: system getter","location" : {"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(CentralCharacter)"]]},{"rank" : 31,"comment" : "CentralCharacter: for a class function","location" : {"line" : 2198,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 26,"comment" : "CentralCharacter: for an ordinary table, and a homogeneous list","location" : {"line" : 2211,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CentralCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CentralCharacter): system setter","location" : {"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CentralCharacter): default method, does nothing","location" : {"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCentralCharacter"]},{"name" : "Tester(CentralCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1648,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCentralCharacter"]},{"name" : "DeterminantOfCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsCharacterTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1687,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "DeterminantOfCharacter: system getter","location" : {"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(DeterminantOfCharacter)"]]},{"rank" : 31,"comment" : "DeterminantOfCharacter: for a class function","location" : {"line" : 2242,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 25,"comment" : "DeterminantOfCharacter: for a nearly character table, and a class function","location" : {"line" : 2273,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DeterminantOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DeterminantOfCharacter): system setter","location" : {"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DeterminantOfCharacter): default method, does nothing","location" : {"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDeterminantOfCharacter"]},{"name" : "Tester(DeterminantOfCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 1685,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDeterminantOfCharacter"]},{"name" : "EigenvaluesChar","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsInt","IsPosRat"]],[["IsCharacterTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1727,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1729,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 50,"comment" : "EigenvaluesChar: for a class function and a positive integer","location" : {"line" : 2312,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 44,"comment" : "EigenvaluesChar: for a character table and a hom. list, and a pos.","location" : {"line" : 2359,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Tensored","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 1767,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "Tensored: method for two homogeneous lists","location" : {"line" : 2406,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsHomogeneousList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Tensored"]},{"name" : "RestrictedClassFunction","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"],["IsGeneralMapping"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping"]],[["IsClassFunction"],["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1833,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1835,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1837,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1839,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1841,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1843,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 66,"comment" : "RestrictedClassFunction: for a class function, and a group","location" : {"line" : 2437,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 51,"comment" : "RestrictedClassFunction: for class function and nearly character table","location" : {"line" : 2504,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 38,"comment" : "RestrictedClassFunction: for a class function and a group homomorphism","location" : {"line" : 2473,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsGeneralMapping"]]}],"3args" : [{"rank" : 59,"comment" : "RestrictedClassFunction: for a character table, a homogeneous list, and a group","location" : {"line" : 2454,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "RestrictedClassFunction: for a character table, a homogeneous list, and a character table","location" : {"line" : 2517,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]},{"rank" : 31,"comment" : "RestrictedClassFunction: for a character table, a homogeneous list, and a group homomorphism","location" : {"line" : 2490,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedClassFunction"]},{"name" : "RestrictedClassFunctions","type" : "GAP_Operation","filters" : [[["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsList"],["IsGeneralMapping"]],[["IsNearlyCharacterTable"],["IsList"],["IsGeneralMapping"]],[["IsList"],["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsList"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1884,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1886,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1887,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1889,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1891,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1893,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "RestrictedClassFunctions: for list and group","location" : {"line" : 2531,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "RestrictedClassFunctions: for list and character table","location" : {"line" : 2545,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsCharacterTable"]]},{"rank" : 9,"comment" : "RestrictedClassFunctions: for list and group homomorphism","location" : {"line" : 2538,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsGeneralMapping"]]}],"3args" : [{"rank" : 58,"comment" : "RestrictedClassFunctions: for a character table, a list, and a group","location" : {"line" : 2563,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "RestrictedClassFunctions: for a character table, a list, and a character table","location" : {"line" : 2595,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsList"],["IsCharacterTable"]]},{"rank" : 30,"comment" : "RestrictedClassFunctions: for a character table, a list, and a group homomorphism","location" : {"line" : 2581,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsList"],["IsGeneralMapping"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RestrictedClassFunctions"]},{"name" : "Restricted","type" : "GAP_Operation","filters" : [[[],[]],[[],[],[]],[[],[],[],[]]],"locations" : [{"line" : 1924,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1925,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1926,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 66,"comment" : "Restricted","location" : {"line" : 2651,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 51,"comment" : "Restricted","location" : {"line" : 2651,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 48,"comment" : "Restricted","location" : {"line" : 2651,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 39,"comment" : "Restricted","location" : {"line" : 2699,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "Restricted","location" : {"line" : 2637,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsList","CategoryCollections(IsCyclotomic)"]]},{"rank" : 24,"comment" : "Restricted","location" : {"line" : 2719,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsNearlyCharacterTable"]]},{"rank" : 21,"comment" : "Restricted","location" : {"line" : 2709,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]}],"3args" : [{"rank" : 72,"comment" : "Restricted","location" : {"line" : 2689,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 69,"comment" : "Restricted","location" : {"line" : 2675,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsClassFunction"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 60,"comment" : "Restricted","location" : {"line" : 2661,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "Restricted","location" : {"line" : 2616,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsHomogeneousList"]]}],"4args" : [{"rank" : 70,"comment" : "Restricted","location" : {"line" : 2628,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]}],"5args" : [],"6args" : []},"aka" : ["Inflated","Restricted"]},{"name" : "InducedClassFunction","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"],["IsGeneralMapping"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping"]],[["IsClassFunction"],["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 1958,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1960,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1962,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1964,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1966,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 1968,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 66,"comment" : "InducedClassFunction: for a class function and a group","location" : {"line" : 2813,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 51,"comment" : "InducedClassFunction: for class function and nearly character table","location" : {"line" : 2836,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 38,"comment" : "InducedClassFunction: for a class function and a group homomorphism","location" : {"line" : 2859,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsGeneralMapping"]]}],"3args" : [{"rank" : 60,"comment" : "InducedClassFunction: for a character table, a homogeneous list, and a group","location" : {"line" : 2826,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "InducedClassFunction: for character table, homogeneous list, and nearly character table","location" : {"line" : 2845,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]},{"rank" : 32,"comment" : "InducedClassFunction: for a character table, a homogeneous list, and a group homomorphism","location" : {"line" : 2872,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "InducedClassFunctions","type" : "GAP_Operation","filters" : [[["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsNearlyCharacterTable"],["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsList"],["IsGeneralMapping"]],[["IsNearlyCharacterTable"],["IsList"],["IsGeneralMapping"]],[["IsList"],["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsList"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 2000,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2002,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2004,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2006,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2008,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2010,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 37,"comment" : "InducedClassFunctions: for list, and group","location" : {"line" : 2886,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 23,"comment" : "InducedClassFunctions: for list, and group homomorphism","location" : {"line" : 2900,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsCharacterTable"]]},{"rank" : 9,"comment" : "InducedClassFunctions: for list, and group homomorphism","location" : {"line" : 2893,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsList"],["IsGeneralMapping"]]}],"3args" : [{"rank" : 60,"comment" : "InducedClassFunctions: for a character table, a homogeneous list, and a group","location" : {"line" : 2913,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "InducedClassFunctions: for character table, homogeneous list, and nearly character table","location" : {"line" : 2922,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]},{"rank" : 32,"comment" : "InducedClassFunctions: for a character table, a homogeneous list, and a group homomorphism","location" : {"line" : 2935,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedClassFunctions"]},{"name" : "Induced","type" : "GAP_Operation","filters" : [[[],[]],[[],[],[]],[[],[],[],[]]],"locations" : [{"line" : 2080,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2081,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2082,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 66,"comment" : "Induced","location" : {"line" : 2949,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 51,"comment" : "Induced","location" : {"line" : 2949,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsNearlyCharacterTable"]]},{"rank" : 48,"comment" : "Induced","location" : {"line" : 2949,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsClassFunction"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]},{"rank" : 39,"comment" : "Induced","location" : {"line" : 2997,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 25,"comment" : "Induced","location" : {"line" : 3017,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsCharacterTable"]]},{"rank" : 11,"comment" : "Induced","location" : {"line" : 3007,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsGeneralMapping"]]}],"3args" : [{"rank" : 60,"comment" : "Induced","location" : {"line" : 2959,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 45,"comment" : "Induced","location" : {"line" : 2987,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsNearlyCharacterTable"]]},{"rank" : 44,"comment" : "Induced: for two nearly character tables, and homog list","location" : {"line" : 3034,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsHomogeneousList"]]},{"rank" : 42,"comment" : "Induced","location" : {"line" : 2973,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]]}],"4args" : [{"rank" : 73,"comment" : "Induced: for two nearly character tables and two homog. lists","location" : {"line" : 3049,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsHomogeneousList","CategoryCollections(IsCyclotomic)"]],"aka" : ["InducedClassFunctionsByFusionMap"]},{"rank" : 49,"comment" : "Induced: for two nearly character tables, homog list, and string","location" : {"line" : 3043,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsString"]]}],"5args" : [],"6args" : []},"aka" : ["Induced"]},{"name" : "InducedCyclic","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"]],[["IsOrdinaryTable"],["IsList"]],[["IsOrdinaryTable"],["IsList"],["IsString"]]],"locations" : [{"line" : 2124,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2125,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2126,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 22,"comment" : "InducedCyclic: for a character table","location" : {"line" : 3062,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [{"rank" : 28,"comment" : "InducedCyclic: for a character table and a string","location" : {"line" : 3072,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsString"]]},{"rank" : 26,"comment" : "InducedCyclic: for a character table and a hom. list","location" : {"line" : 3118,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 31,"comment" : "InducedCyclic: for a character table, a hom. list, and a string","location" : {"line" : 3171,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InducedCyclic"]},{"name" : "ReducedClassFunctions","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]],[["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsHomogeneousList"]]],"locations" : [{"line" : 2186,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2188,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2190,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "ReducedClassFunctions: for a list (of class functions)","location" : {"line" : 3215,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"]]}],"2args" : [{"rank" : 26,"comment" : "ReducedClassFunctions: for ordinary character table, and list of class functions","location" : {"line" : 3358,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"]]},{"rank" : 8,"comment" : "ReducedClassFunctions: for two lists (of class functions)","location" : {"line" : 3199,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 30,"comment" : "ReducedClassFunctions: for ordinary character table, and two lists (of class functions)","location" : {"line" : 3282,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Reduced","ReducedClassFunctions"]},{"name" : "ReducedCharacters","type" : "GAP_Operation","filters" : [[["IsHomogeneousList"],["IsHomogeneousList"]],[["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]]],"locations" : [{"line" : 2235,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2237,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 8,"comment" : "ReducedCharacters: for two lists (of characters)","location" : {"line" : 3379,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsHomogeneousList"]]}],"3args" : [{"rank" : 30,"comment" : "ReducedCharacters: for ordinary character table, and two lists of characters","location" : {"line" : 3447,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsOrdinaryTable"],["IsHomogeneousList"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ReducedCharacters","ReducedOrdinary"]},{"name" : "Symmetrizations","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsInt"]],[["IsNearlyCharacterTable"],["IsHomogeneousList"],["IsCharacterTable"]],[["IsHomogeneousList"],["IsInt"]],[["IsHomogeneousList"],["IsCharacterTable"]]],"locations" : [{"line" : 2346,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2348,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2349,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},{"line" : 2351,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 26,"comment" : "Symmetrizations: for homogeneous list (of class functions) and character table","location" : {"line" : 3577,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsOrdinaryTable"]]},{"rank" : 23,"comment" : "Symmetrizations: for homogeneous list (of class functions) and positive integer","location" : {"line" : 3563,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsHomogeneousList"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 47,"comment" : "Symmetrizations: for char. table, homog. list (of class functions), and table of Sn","location" : {"line" : 3612,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsOrdinaryTable"]]},{"rank" : 44,"comment" : "Symmetrizations: for char. table, homog. list (of class functions), and pos. integer","location" : {"line" : 3595,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsInt","IsPosRat"]]},{"rank" : 26,"comment" : "Symmetrizations: for char. table, homog. list (of class functions), and record","location" : {"line" : 3719,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsCharacterTable"],["IsHomogeneousList"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Symmetrisations","Symmetrizations"]},{"name" : "BrauerCharacterValue","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20033,"comment" : "BrauerCharacterValue: system getter","location" : {"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep","Tester(BrauerCharacterValue)"]]},{"rank" : 30,"comment" : "BrauerCharacterValue: for a matrix","location" : {"line" : 4543,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BrauerCharacterValue)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],[]]],"locations" : [{"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BrauerCharacterValue): system setter","location" : {"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BrauerCharacterValue): default method, does nothing","location" : {"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBrauerCharacterValue"]},{"name" : "Tester(BrauerCharacterValue)","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 2668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblfuns.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBrauerCharacterValue"]},{"name" : "PowerMap","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsInt"]],[["IsNearlyCharacterTable"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "PowerMap: for a character table, and an integer","location" : {"line" : 54,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"],["IsInt"]]}],"3args" : [{"rank" : 56,"comment" : "PowerMap: for a character table, and two integers","location" : {"line" : 69,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PowerMap"]},{"name" : "PowerMapOp","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsInt"]],[["IsNearlyCharacterTable"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 178,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "PowerMapOp: for character table and zero","location" : {"line" : 208,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsCharacterTable"],["IsZeroCyc"]]},{"rank" : 42,"comment" : "PowerMapOp: for ordinary table with group, and positive integer","location" : {"line" : 100,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable","Tester(UnderlyingGroup)"],["IsInt","IsPosRat"]]},{"rank" : 41,"comment" : "PowerMapOp: for ordinary table, and positive integer","location" : {"line" : 140,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]},{"rank" : 40,"comment" : "PowerMapOp: for Brauer table and integer","location" : {"line" : 224,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsInt"]]},{"rank" : 40,"comment" : "PowerMapOp: for character table and negative integer","location" : {"line" : 196,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsCharacterTable"],["IsInt","IsNegRat"]]}],"3args" : [{"rank" : 59,"comment" : "PowerMapOp: for Brauer table, integer, positive integer","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsInt"],["IsInt","IsPosRat"]]},{"rank" : 59,"comment" : "PowerMapOp: for ordinary table, integer, positive integer","location" : {"line" : 184,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable"],["IsInt"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PowerMapOp"]},{"name" : "ComputedPowerMaps","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "ComputedPowerMaps: system getter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedPowerMaps)"]]},{"rank" : 20,"comment" : "ComputedPowerMaps: for a nearly character table","location" : {"line" : 253,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedPowerMaps)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedPowerMaps): system mutable setter","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedPowerMaps): default method, does nothing","location" : {"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedPowerMaps"]},{"name" : "Tester(ComputedPowerMaps)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 181,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedPowerMaps"]},{"name" : "PossiblePowerMaps","type" : "GAP_Operation","filters" : [[["IsCharacterTable"],["IsInt"]],[["IsCharacterTable"],["IsInt"],["IsRecord"]]],"locations" : [{"line" : 318,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 320,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 41,"comment" : "PossiblePowerMaps: for a Brauer character table and a prime","location" : {"line" : 481,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsInt","IsPosRat"]]},{"rank" : 41,"comment" : "PossiblePowerMaps: for an ordinary character table and a prime (add empty options record)","location" : {"line" : 265,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 42,"comment" : "PossiblePowerMaps: for a Brauer character table, a prime, and a record","location" : {"line" : 515,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsInt","IsPosRat"],["IsRecord"]]},{"rank" : 42,"comment" : "PossiblePowerMaps: for an ordinary character table, a prime, and a record","location" : {"line" : 460,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable"],["IsInt","IsPosRat"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PossiblePowerMaps"]},{"name" : "FusionConjugacyClasses","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsGeneralMapping"]],[["IsGeneralMapping"],["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 654,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 655,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 656,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 658,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "FusionConjugacyClasses: for a group homomorphism","location" : {"line" : 726,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [{"rank" : 70,"comment" : "FusionConjugacyClasses: for two groups","location" : {"line" : 721,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 40,"comment" : "FusionConjugacyClasses: for two nearly character tables","location" : {"line" : 752,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]}],"3args" : [{"rank" : 47,"comment" : "FusionConjugacyClasses: for a group homomorphism, and two nearly character tables","location" : {"line" : 726,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsGeneralMapping"],["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FusionConjugacyClasses"]},{"name" : "FusionConjugacyClassesOp","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]],[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]],[["IsGeneralMapping"],["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 663,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 665,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20010,"comment" : "FusionConjugacyClassesOp: system getter","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep","Tester(FusionConjugacyClassesOp)"]]},{"rank" : 7,"comment" : "FusionConjugacyClassesOp: for a group homomorphism","location" : {"line" : 788,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsGeneralMapping"]]}],"2args" : [{"rank" : 46,"comment" : "FusionConjugacyClassesOp: for two ordinary tables with groups","location" : {"line" : 871,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable","Tester(UnderlyingGroup)"],["IsOrdinaryTable","Tester(UnderlyingGroup)"]]},{"rank" : 44,"comment" : "FusionConjugacyClassesOp: for two Brauer tables","location" : {"line" : 975,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsBrauerTable"]]},{"rank" : 44,"comment" : "FusionConjugacyClassesOp: for two ordinary tables","location" : {"line" : 932,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsOrdinaryTable"],["IsOrdinaryTable"]]}],"3args" : [{"rank" : 51,"comment" : "FusionConjugacyClassesOp: for a group homomorphism, and two character tables","location" : {"line" : 824,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsGeneralMapping"],["IsOrdinaryTable"],["IsOrdinaryTable"]]}],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FusionConjugacyClassesOp)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"],[]]],"locations" : [{"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FusionConjugacyClassesOp): system setter","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FusionConjugacyClassesOp): default method, does nothing","location" : {"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFusionConjugacyClassesOp"]},{"name" : "Tester(FusionConjugacyClassesOp)","type" : "GAP_Operation","filters" : [[["IsGeneralMapping"]]],"locations" : [{"line" : 660,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFusionConjugacyClassesOp"]},{"name" : "ComputedClassFusions","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "ComputedClassFusions: system getter","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedClassFusions)"]]},{"rank" : 20,"comment" : "ComputedClassFusions: for a nearly character table","location" : {"line" : 989,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedClassFusions)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedClassFusions): system mutable setter","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedClassFusions): default method, does nothing","location" : {"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedClassFusions"]},{"name" : "Tester(ComputedClassFusions)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 736,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedClassFusions"]},{"name" : "NamesOfFusionSources","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20023,"comment" : "NamesOfFusionSources: system getter","location" : {"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep","Tester(NamesOfFusionSources)"]]},{"rank" : 20,"comment" : "NamesOfFusionSources: for a nearly character table","location" : {"line" : 1150,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NamesOfFusionSources)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],[]]],"locations" : [{"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NamesOfFusionSources): system mutable setter","location" : {"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NamesOfFusionSources): default method, does nothing","location" : {"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNamesOfFusionSources"]},{"name" : "Tester(NamesOfFusionSources)","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"]]],"locations" : [{"line" : 854,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNamesOfFusionSources"]},{"name" : "PossibleClassFusions","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]],[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsRecord"]]],"locations" : [{"line" : 999,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"},{"line" : 1001,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 44,"comment" : "PossibleClassFusions: for two Brauer tables","location" : {"line" : 1579,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsBrauerTable"],["IsBrauerTable"]]},{"rank" : 40,"comment" : "PossibleClassFusions: for two ordinary character tables","location" : {"line" : 1170,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]}],"3args" : [{"rank" : 41,"comment" : "PossibleClassFusions: for two ordinary character tables, and a parameters record","location" : {"line" : 1553,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmaps.gi"},"filters" : [["IsNearlyCharacterTable"],["IsNearlyCharacterTable"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PossibleClassFusions"]},{"name" : "MatrixAutomorphisms","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]],[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsList"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"},{"line" : 91,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "MatrixAutomorphisms: for a matrix","location" : {"line" : 395,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [{"rank" : 90,"comment" : "MatrixAutomorphisms: for matrix, list of maps, and subgroup","location" : {"line" : 549,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsList"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MatrixAutomorphisms"]},{"name" : "TableAutomorphisms","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsList"]],[["IsNearlyCharacterTable"],["IsList"],["IsString"]],[["IsNearlyCharacterTable"],["IsList"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"},{"line" : 146,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"},{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "TableAutomorphisms: for a character table and a list of characters","location" : {"line" : 563,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsCharacterTable"],["IsList"]]}],"3args" : [{"rank" : 81,"comment" : "TableAutomorphisms: for a character table, a list of characters, and a perm. group","location" : {"line" : 627,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsCharacterTable"],["IsList"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 28,"comment" : "TableAutomorphisms: for a character table, a list of characters, and a string","location" : {"line" : 577,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsCharacterTable"],["IsList"],["IsString"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TableAutomorphisms"]},{"name" : "TransformingPermutations","type" : "GAP_Operation","filters" : [[["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]],"locations" : [{"line" : 187,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 60,"comment" : "TransformingPermutations: for two matrices","location" : {"line" : 986,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"],["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformingPermutations"]},{"name" : "TransformingPermutationsCharacterTables","type" : "GAP_Operation","filters" : [[["IsNearlyCharacterTable"],["IsNearlyCharacterTable"]]],"locations" : [{"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 42,"comment" : "TransformingPermutationsCharacterTables: for two character tables","location" : {"line" : 1121,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblauto.gi"},"filters" : [["IsCharacterTable"],["IsCharacterTable"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TransformingPermutationsCharacterTables"]},{"name" : "BaumClausenInfo","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "BaumClausenInfo: system getter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep","Tester(BaumClausenInfo)"]]},{"rank" : 35,"comment" : "BaumClausenInfo: for a (solvable) group","location" : {"line" : 1908,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "BaumClausenInfo: default method requiring categories and checking properties","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(BaumClausenInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(BaumClausenInfo): system setter","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(BaumClausenInfo): default method, does nothing","location" : {"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetBaumClausenInfo"]},{"name" : "Tester(BaumClausenInfo)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 120,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasBaumClausenInfo"]},{"name" : "IrreducibleRepresentations","type" : "GAP_Operation","filters" : [[["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},{"line" : 194,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20046,"comment" : "IrreducibleRepresentations: system getter","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep","Tester(IrreducibleRepresentations)"]]},{"rank" : 45,"comment" : "IrreducibleRepresentations: (abelian by supersolvable) finite group","location" : {"line" : 1982,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 44,"comment" : "IrreducibleRepresentations: Dixon's method","location" : {"line" : 2500,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["IrreducibleRepresentationsDixon"]},{"rank" : 0,"comment" : "IrreducibleRepresentations: default method requiring categories and checking properties","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 104,"comment" : "IrreducibleRepresentations: finite group, Cyclotomics","location" : {"line" : 1998,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 102,"comment" : "IrreducibleRepresentations: for a finite group over a finite field","location" : {"line" : 2022,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IrreducibleRepresentations)","type" : "GAP_Operation","filters" : [[["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IrreducibleRepresentations): system setter","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IrreducibleRepresentations): default method, does nothing","location" : {"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrreducibleRepresentations"]},{"name" : "Tester(IrreducibleRepresentations)","type" : "GAP_Operation","filters" : [[["IsFinite","Tester(IsFinite)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 192,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrreducibleRepresentations"]},{"name" : "IrrBaumClausen","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IrrBaumClausen: system getter","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep","Tester(IrrBaumClausen)"]]},{"rank" : 35,"comment" : "IrrBaumClausen: for a (solvable) group","location" : {"line" : 2133,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IrrBaumClausen: default method requiring categories and checking properties","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IrrBaumClausen)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IrrBaumClausen): system setter","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IrrBaumClausen): default method, does nothing","location" : {"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrrBaumClausen"]},{"name" : "Tester(IrrBaumClausen)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 249,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrrBaumClausen"]},{"name" : "IrrConlon","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IrrConlon: system getter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep","Tester(IrrConlon)"]]},{"rank" : 35,"comment" : "IrrConlon: for a group","location" : {"line" : 794,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IrrConlon: default method requiring categories and checking properties","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IrrConlon)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IrrConlon): system setter","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IrrConlon): default method, does nothing","location" : {"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrrConlon"]},{"name" : "Tester(IrrConlon)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 377,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblsolv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrrConlon"]},{"name" : "Inequalities","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsList"]],[["IsOrdinaryTable"],["IsList"],[]]],"locations" : [{"line" : 669,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblpope.gd"},{"line" : 670,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblpope.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 24,"comment" : "Inequalities","location" : {"line" : 406,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblpope.gi"},"filters" : [["IsOrdinaryTable"],["IsList"]]}],"3args" : [{"rank" : 24,"comment" : "Inequalities","location" : {"line" : 606,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblpope.gi"},"filters" : [["IsOrdinaryTable"],["IsList"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Inequalities"]},{"name" : "MolienSeriesInfo","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "MolienSeriesInfo: system getter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"},"filters" : [["IsAttributeStoringRep","Tester(MolienSeriesInfo)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MolienSeriesInfo)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"],[]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MolienSeriesInfo): system setter","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MolienSeriesInfo): default method, does nothing","location" : {"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMolienSeriesInfo"]},{"name" : "Tester(MolienSeriesInfo)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmoli.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMolienSeriesInfo"]},{"name" : "Alpha","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Alpha: system getter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(Alpha)"]]},{"rank" : 35,"comment" : "Alpha: for a group","location" : {"line" : 119,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Alpha: default method requiring categories and checking properties","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Alpha)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Alpha): system setter","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Alpha): default method, does nothing","location" : {"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetAlpha"]},{"name" : "Tester(Alpha)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 137,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasAlpha"]},{"name" : "Delta","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "Delta: system getter","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(Delta)"]]},{"rank" : 35,"comment" : "Delta: for a group","location" : {"line" : 142,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Delta: default method requiring categories and checking properties","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Delta)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Delta): system setter","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Delta): default method, does nothing","location" : {"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDelta"]},{"name" : "Tester(Delta)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 157,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDelta"]},{"name" : "IsBergerCondition","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsBergerCondition: system getter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsBergerCondition)"]]},{"rank" : 35,"comment" : "IsBergerCondition: for a group","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsBergerCondition: for a class function","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 0,"comment" : "IsBergerCondition: default method requiring categories and checking properties","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsBergerCondition)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsBergerCondition): system setter","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsBergerCondition): default method, does nothing","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsBergerCondition"]},{"name" : "Tester(IsBergerCondition)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPrimitiveCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsPrimitiveCharacter: system getter","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimitiveCharacter)"]]},{"rank" : 31,"comment" : "IsPrimitiveCharacter: for a class function","location" : {"line" : 471,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPrimitiveCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimitiveCharacter): system setter","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimitiveCharacter): default method, does nothing","location" : {"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPrimitiveCharacter"]},{"name" : "Tester(IsPrimitiveCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 313,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TestQuasiPrimitive","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "TestQuasiPrimitive: system getter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(TestQuasiPrimitive)"]]},{"rank" : 35,"comment" : "TestQuasiPrimitive: for a character","location" : {"line" : 446,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsCharacter","Tester(IsCharacter)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TestQuasiPrimitive)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TestQuasiPrimitive): system setter","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TestQuasiPrimitive): default method, does nothing","location" : {"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTestQuasiPrimitive"]},{"name" : "Tester(TestQuasiPrimitive)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 364,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTestQuasiPrimitive"]},{"name" : "IsQuasiPrimitive","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsQuasiPrimitive: system getter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsQuasiPrimitive)"]]},{"rank" : 35,"comment" : "IsQuasiPrimitive: for a character","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsCharacter","Tester(IsCharacter)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsQuasiPrimitive)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsQuasiPrimitive): system setter","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsQuasiPrimitive): default method, does nothing","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsQuasiPrimitive"]},{"name" : "Tester(IsQuasiPrimitive)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsInducedFromNormalSubgroup","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsInducedFromNormalSubgroup: system getter","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsInducedFromNormalSubgroup)"]]},{"rank" : 35,"comment" : "IsInducedFromNormalSubgroup: for a character","location" : {"line" : 668,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsCharacter","Tester(IsCharacter)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsInducedFromNormalSubgroup)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsInducedFromNormalSubgroup): system setter","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsInducedFromNormalSubgroup): default method, does nothing","location" : {"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsInducedFromNormalSubgroup"]},{"name" : "Tester(IsInducedFromNormalSubgroup)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 419,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonomialCharacter","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsMonomialCharacter: system getter","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonomialCharacter)"]]},{"rank" : 31,"comment" : "IsMonomialCharacter: for a character","location" : {"line" : 1613,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonomialCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonomialCharacter): system setter","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonomialCharacter): default method, does nothing","location" : {"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonomialCharacter"]},{"name" : "Tester(IsMonomialCharacter)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 458,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMonomialNumber","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20022,"comment" : "IsMonomialNumber: system getter","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMonomialNumber)"]]},{"rank" : 19,"comment" : "IsMonomialNumber: for a positive integer","location" : {"line" : 1009,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMonomialNumber)","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsBool"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMonomialNumber): system setter","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMonomialNumber): default method, does nothing","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMonomialNumber"]},{"name" : "Tester(IsMonomialNumber)","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]]],"locations" : [{"line" : 529,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TestMonomialQuick","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "TestMonomialQuick: system getter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(TestMonomialQuick)"]]},{"rank" : 35,"comment" : "TestMonomialQuick: for a group","location" : {"line" : 1268,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "TestMonomialQuick: for a character","location" : {"line" : 1174,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TestMonomialQuick)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TestMonomialQuick): system setter","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TestMonomialQuick): default method, does nothing","location" : {"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTestMonomialQuick"]},{"name" : "Tester(TestMonomialQuick)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 589,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTestMonomialQuick"]},{"name" : "TestMonomial","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"],["IsBool"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},{"line" : 661,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},{"line" : 662,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "TestMonomial: system getter","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(TestMonomial)"]]},{"rank" : 35,"comment" : "TestMonomial: for a group","location" : {"line" : 1514,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "TestMonomial: for a character","location" : {"line" : 1304,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [{"rank" : 36,"comment" : "TestMonomial: for a group, and a Boolean","location" : {"line" : 1593,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]},{"rank" : 32,"comment" : "TestMonomial: for a character, and a Boolean","location" : {"line" : 1498,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TestMonomial)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],[]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TestMonomial): system setter","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TestMonomial): default method, does nothing","location" : {"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTestMonomial"]},{"name" : "Tester(TestMonomial)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 659,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTestMonomial"]},{"name" : "TestSubnormallyMonomial","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"]]],"locations" : [{"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "TestSubnormallyMonomial: system getter","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(TestSubnormallyMonomial)"]]},{"rank" : 35,"comment" : "TestSubnormallyMonomial: for a group","location" : {"line" : 743,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "TestSubnormallyMonomial: for a character","location" : {"line" : 907,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 0,"comment" : "TestSubnormallyMonomial: default method requiring categories and checking properties","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TestSubnormallyMonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsClassFunction"],[]]],"locations" : [{"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TestSubnormallyMonomial): system setter","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TestSubnormallyMonomial): default method, does nothing","location" : {"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTestSubnormallyMonomial"]},{"name" : "Tester(TestSubnormallyMonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 739,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTestSubnormallyMonomial"]},{"name" : "IsSubnormallyMonomial","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"]]],"locations" : [{"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsSubnormallyMonomial: system getter","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSubnormallyMonomial)"]]},{"rank" : 35,"comment" : "IsSubnormallyMonomial: for a group","location" : {"line" : 918,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsSubnormallyMonomial: for a character","location" : {"line" : 923,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 0,"comment" : "IsSubnormallyMonomial: default method requiring categories and checking properties","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSubnormallyMonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSubnormallyMonomial): system setter","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSubnormallyMonomial): default method, does nothing","location" : {"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSubnormallyMonomial"]},{"name" : "Tester(IsSubnormallyMonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 742,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "TestRelativelySM","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsClassFunction"]],[["IsClassFunction"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},{"line" : 817,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},{"line" : 818,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "TestRelativelySM: system getter","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(TestRelativelySM)"]]},{"rank" : 35,"comment" : "TestRelativelySM: for a group","location" : {"line" : 1887,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],"aka" : ["TestRelativelySMFun"]},{"rank" : 31,"comment" : "TestRelativelySM: for a character","location" : {"line" : 1887,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]},{"rank" : 0,"comment" : "TestRelativelySM: default method requiring categories and checking properties","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 35,"comment" : "TestRelativelySM: for a group, and an object","location" : {"line" : 1887,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]},{"rank" : 31,"comment" : "TestRelativelySM: for a character, and an object","location" : {"line" : 1887,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TestRelativelySM)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsClassFunction"],[]]],"locations" : [{"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TestRelativelySM): system setter","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TestRelativelySM): default method, does nothing","location" : {"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTestRelativelySM"]},{"name" : "Tester(TestRelativelySM)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 814,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTestRelativelySM"]},{"name" : "IsRelativelySM","type" : "GAP_Operation","filters" : [[["IsClassFunction"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20034,"comment" : "IsRelativelySM: system getter","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsRelativelySM)"]]},{"rank" : 35,"comment" : "IsRelativelySM: for a group","location" : {"line" : 1918,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsRelativelySM: for a character","location" : {"line" : 1913,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsClassFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsRelativelySM)","type" : "GAP_Operation","filters" : [[["IsClassFunction"],["IsBool"]]],"locations" : [{"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsRelativelySM): system setter","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsRelativelySM): default method, does nothing","location" : {"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsRelativelySM"]},{"name" : "Tester(IsRelativelySM)","type" : "GAP_Operation","filters" : [[["IsClassFunction"]]],"locations" : [{"line" : 820,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsMinimalNonmonomial","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IsMinimalNonmonomial: system getter","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsMinimalNonmonomial)"]]},{"rank" : 35,"comment" : "IsMinimalNonmonomial: for a (solvable) group","location" : {"line" : 2167,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IsMinimalNonmonomial: default method requiring categories and checking properties","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsMinimalNonmonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsMinimalNonmonomial): system setter","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsMinimalNonmonomial): default method, does nothing","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsMinimalNonmonomial"]},{"name" : "Tester(IsMinimalNonmonomial)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblmono.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DixonRecord","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "DixonRecord: system getter","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(DixonRecord)"]]},{"rank" : 35,"comment" : "DixonRecord: generic","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "DixonRecord: default method requiring categories and checking properties","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DixonRecord)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DixonRecord): system mutable setter","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DixonRecord): default method, does nothing","location" : {"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDixonRecord"]},{"name" : "Tester(DixonRecord)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 127,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDixonRecord"]},{"name" : "DxPreparation","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]],"locations" : [{"line" : 144,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 59,"comment" : "DxPreparation: perm","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblperm.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]},{"rank" : 47,"comment" : "DxPreparation: pc group","location" : {"line" : 98,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblpc.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"],["IsRecord"]]},{"rank" : 44,"comment" : "DxPreparation: abelian","location" : {"line" : 1847,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)"],["IsRecord"]]},{"rank" : 36,"comment" : "DxPreparation: generic","location" : {"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DxPreparation"]},{"name" : "IrrDixonSchneider","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},{"line" : 374,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "IrrDixonSchneider: system getter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsAttributeStoringRep","Tester(IrrDixonSchneider)"]]},{"rank" : 35,"comment" : "IrrDixonSchneider: Dixon\/Schneider","location" : {"line" : 2150,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IrrDixonSchneider: default method requiring categories and checking properties","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [{"rank" : 36,"comment" : "IrrDixonSchneider: Dixon\/Schneider","location" : {"line" : 2180,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsRecord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IrrDixonSchneider)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IrrDixonSchneider): system setter","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IrrDixonSchneider): default method, does nothing","location" : {"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIrrDixonSchneider"]},{"name" : "Tester(IrrDixonSchneider)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 373,"file" : "\/home\/makx\/ac\/gap\/lib\/ctblgrp.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIrrDixonSchneider"]},{"name" : "TableOfMarks","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]],[["IsString"]],[["IsTable"]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20037,"comment" : "TableOfMarks: system getter","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(TableOfMarks)"]]},{"rank" : 46,"comment" : "TableOfMarks: for a group with lattice","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(LatticeSubgroups)"]],"aka" : ["TableOfMarksByLattice"]},{"rank" : 45,"comment" : "TableOfMarks: for a cyclic group","location" : {"line" : 129,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","IsCyclic","Tester(IsCyclic)"]]},{"rank" : 37,"comment" : "TableOfMarks: for solvable groups (call `LatticeSubgroups' and use the lattice)","location" : {"line" : 325,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsSolvableGroup","Tester(IsSolvableGroup)"]]},{"rank" : 35,"comment" : "TableOfMarks: cyclic extension method","location" : {"line" : 850,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 6,"comment" : "TableOfMarks: for a matrix or a lower triangular matrix","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTable"]]},{"rank" : 5,"comment" : "TableOfMarks: for a string (dispatch to `TableOfMarksFromLibrary')","location" : {"line" : 942,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsString"]]},{"rank" : 0,"comment" : "TableOfMarks: default method requiring categories and checking properties","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(TableOfMarks)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]],[["IsString"],[]],[["IsTable"],[]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(TableOfMarks): system setter","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(TableOfMarks): default method, does nothing","location" : {"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetTableOfMarks"]},{"name" : "Tester(TableOfMarks)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 333,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTableOfMarks"]},{"name" : "SortedTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsPerm"]]],"locations" : [{"line" : 571,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 9,"comment" : "SortedTom","location" : {"line" : 1192,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsPerm"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SortedTom"]},{"name" : "PermutationTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "PermutationTom: system getter","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(PermutationTom)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(PermutationTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(PermutationTom): system setter","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(PermutationTom): default method, does nothing","location" : {"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetPermutationTom"]},{"name" : "Tester(PermutationTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 614,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasPermutationTom"]},{"name" : "MarksTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MarksTom: system getter","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(MarksTom)"]]},{"rank" : 3,"comment" : "MarksTom: for a table of marks with known `NrSubsTom' and `OrdersTom'","location" : {"line" : 1264,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(NrSubsTom)","Tester(OrdersTom)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MarksTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MarksTom): system setter","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MarksTom): default method, does nothing","location" : {"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMarksTom"]},{"name" : "Tester(MarksTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 734,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMarksTom"]},{"name" : "SubsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "SubsTom: system getter","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(SubsTom)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SubsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SubsTom): system setter","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SubsTom): default method, does nothing","location" : {"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSubsTom"]},{"name" : "Tester(SubsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 735,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSubsTom"]},{"name" : "NrSubsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "NrSubsTom: system getter","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(NrSubsTom)"]]},{"rank" : 1,"comment" : "NrSubsTom: for a table of marks","location" : {"line" : 1300,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NrSubsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NrSubsTom): system setter","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NrSubsTom): default method, does nothing","location" : {"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNrSubsTom"]},{"name" : "Tester(NrSubsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 776,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNrSubsTom"]},{"name" : "OrdersTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "OrdersTom: system getter","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(OrdersTom)"]]},{"rank" : 1,"comment" : "OrdersTom: for a table of marks","location" : {"line" : 1316,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(OrdersTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(OrdersTom): system setter","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(OrdersTom): default method, does nothing","location" : {"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetOrdersTom"]},{"name" : "Tester(OrdersTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 777,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasOrdersTom"]},{"name" : "LengthsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "LengthsTom: system getter","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(LengthsTom)"]]},{"rank" : 1,"comment" : "LengthsTom: for a table of marks","location" : {"line" : 1330,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(LengthsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(LengthsTom): system setter","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(LengthsTom): default method, does nothing","location" : {"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetLengthsTom"]},{"name" : "Tester(LengthsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 801,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasLengthsTom"]},{"name" : "ClassTypesTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ClassTypesTom: system getter","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassTypesTom)"]]},{"rank" : 1,"comment" : "ClassTypesTom: for a table of marks","location" : {"line" : 1378,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassTypesTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassTypesTom): system setter","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassTypesTom): default method, does nothing","location" : {"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassTypesTom"]},{"name" : "Tester(ClassTypesTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 836,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassTypesTom"]},{"name" : "ClassNamesTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ClassNamesTom: system getter","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(ClassNamesTom)"]]},{"rank" : 1,"comment" : "ClassNamesTom: for a table of marks","location" : {"line" : 1465,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ClassNamesTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ClassNamesTom): system setter","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ClassNamesTom): default method, does nothing","location" : {"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetClassNamesTom"]},{"name" : "Tester(ClassNamesTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 884,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasClassNamesTom"]},{"name" : "FusionsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "FusionsTom: system getter","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(FusionsTom)"]]},{"rank" : 1,"comment" : "FusionsTom: for a table of marks","location" : {"line" : 1475,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FusionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FusionsTom): system mutable setter","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FusionsTom): default method, does nothing","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFusionsTom"]},{"name" : "Tester(FusionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 917,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFusionsTom"]},{"name" : "IdempotentsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IdempotentsTom: system getter","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IdempotentsTom)"]]},{"rank" : 1,"comment" : "IdempotentsTom: for a table of marks","location" : {"line" : 1505,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IdempotentsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IdempotentsTom): system setter","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IdempotentsTom): default method, does nothing","location" : {"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdempotentsTom"]},{"name" : "Tester(IdempotentsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 993,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdempotentsTom"]},{"name" : "IdempotentsTomInfo","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IdempotentsTomInfo: system getter","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IdempotentsTomInfo)"]]},{"rank" : 1,"comment" : "IdempotentsTomInfo: for a table of marks","location" : {"line" : 1533,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IdempotentsTomInfo)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IdempotentsTomInfo): system setter","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IdempotentsTomInfo): default method, does nothing","location" : {"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdempotentsTomInfo"]},{"name" : "Tester(IdempotentsTomInfo)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 994,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdempotentsTomInfo"]},{"name" : "MatTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MatTom: system getter","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(MatTom)"]]},{"rank" : 1,"comment" : "MatTom: for a table of marks","location" : {"line" : 1559,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MatTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MatTom): system setter","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MatTom): default method, does nothing","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMatTom"]},{"name" : "Tester(MatTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMatTom"]},{"name" : "MoebiusTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MoebiusTom: system getter","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(MoebiusTom)"]]},{"rank" : 1,"comment" : "MoebiusTom: for a table of marks","location" : {"line" : 1683,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MoebiusTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MoebiusTom): system setter","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MoebiusTom): default method, does nothing","location" : {"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMoebiusTom"]},{"name" : "Tester(MoebiusTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1108,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMoebiusTom"]},{"name" : "WeightsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "WeightsTom: system getter","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(WeightsTom)"]]},{"rank" : 1,"comment" : "WeightsTom: for a table of marks","location" : {"line" : 1701,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(WeightsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(WeightsTom): system setter","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(WeightsTom): default method, does nothing","location" : {"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetWeightsTom"]},{"name" : "Tester(WeightsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1142,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasWeightsTom"]},{"name" : "IsAbelianTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1205,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsAbelianTom: system getter","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsAbelianTom)"]]},{"rank" : 1,"comment" : "IsAbelianTom: for a table of marks","location" : {"line" : 1754,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 1021,"comment" : "IsAbelianTom: for a table of marks with known der. subgroups, and a positive integer","location" : {"line" : 1775,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(DerivedSubgroupsTomUnique)"],["IsInt","IsPosRat"]]},{"rank" : 30,"comment" : "IsAbelianTom: for a table of marks and a positive integer","location" : {"line" : 1768,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]},{"rank" : 21,"comment" : "IsAbelianTom: for a table of marks with generators, and a positive integer","location" : {"line" : 1782,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","IsTableOfMarksWithGens"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsAbelianTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsBool"]]],"locations" : [{"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsAbelianTom): system setter","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsAbelianTom): default method, does nothing","location" : {"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsAbelianTom"]},{"name" : "Tester(IsAbelianTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1204,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsCyclicTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1230,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsCyclicTom: system getter","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsCyclicTom)"]]},{"rank" : 1,"comment" : "IsCyclicTom: for a table of marks","location" : {"line" : 1796,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 20,"comment" : "IsCyclicTom: for a table of marks and a positive integer","location" : {"line" : 1809,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsCyclicTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsBool"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsCyclicTom): system setter","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsCyclicTom): default method, does nothing","location" : {"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsCyclicTom"]},{"name" : "Tester(IsCyclicTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1229,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsNilpotentTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1250,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsNilpotentTom: system getter","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsNilpotentTom)"]]},{"rank" : 1,"comment" : "IsNilpotentTom: for a table of marks","location" : {"line" : 1819,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 20,"comment" : "IsNilpotentTom: for a table of marks and a positive integer","location" : {"line" : 1839,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsNilpotentTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsBool"]]],"locations" : [{"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsNilpotentTom): system setter","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsNilpotentTom): default method, does nothing","location" : {"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsNilpotentTom"]},{"name" : "Tester(IsNilpotentTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1249,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsPerfectTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1270,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsPerfectTom: system getter","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPerfectTom)"]]},{"rank" : 1,"comment" : "IsPerfectTom: for a table of marks","location" : {"line" : 1855,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 21,"comment" : "IsPerfectTom: for a table of marks with known der. subgroups, and a positive integer","location" : {"line" : 1862,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(DerivedSubgroupsTomUnique)"],["IsInt","IsPosRat"]]},{"rank" : 20,"comment" : "IsPerfectTom: for a table of marks and a positive integer","location" : {"line" : 1872,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPerfectTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsBool"]]],"locations" : [{"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPerfectTom): system setter","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPerfectTom): default method, does nothing","location" : {"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsPerfectTom"]},{"name" : "Tester(IsPerfectTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1269,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "IsSolvableTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1290,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "IsSolvableTom: system getter","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsSolvableTom)"]]},{"rank" : 1,"comment" : "IsSolvableTom: for a table of marks","location" : {"line" : 1882,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 20,"comment" : "IsSolvableTom: for a table of marks and a positive integer","location" : {"line" : 1894,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsSolvableTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsBool"]]],"locations" : [{"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsSolvableTom): system setter","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsSolvableTom): default method, does nothing","location" : {"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsSolvableTom"]},{"name" : "Tester(IsSolvableTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1289,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "DerivedSubgroupTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1345,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "DerivedSubgroupTom: for a table of marks, and a positive integer","location" : {"line" : 2235,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DerivedSubgroupTom"]},{"name" : "DerivedSubgroupsTomPossible","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "DerivedSubgroupsTomPossible: system getter","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(DerivedSubgroupsTomPossible)"]]},{"rank" : 1,"comment" : "DerivedSubgroupsTomPossible: for a table of marks (initialize with empty list)","location" : {"line" : 2254,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DerivedSubgroupsTomPossible)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DerivedSubgroupsTomPossible): system mutable setter","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DerivedSubgroupsTomPossible): default method, does nothing","location" : {"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivedSubgroupsTomPossible"]},{"name" : "Tester(DerivedSubgroupsTomPossible)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1393,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivedSubgroupsTomPossible"]},{"name" : "DerivedSubgroupsTomUnique","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "DerivedSubgroupsTomUnique: system getter","location" : {"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(DerivedSubgroupsTomUnique)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(DerivedSubgroupsTomUnique)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(DerivedSubgroupsTomUnique): system setter","location" : {"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(DerivedSubgroupsTomUnique): default method, does nothing","location" : {"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetDerivedSubgroupsTomUnique"]},{"name" : "Tester(DerivedSubgroupsTomUnique)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1394,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasDerivedSubgroupsTomUnique"]},{"name" : "NormalizerTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1445,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "NormalizerTom: for a table of marks, and a positive integer","location" : {"line" : 2345,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NormaliserTom","NormalizerTom"]},{"name" : "NormalizersTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "NormalizersTom: system getter","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(NormalizersTom)"]]},{"rank" : 1,"comment" : "NormalizersTom: all normalizers of a table of marks","location" : {"line" : 2439,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(NormalizersTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(NormalizersTom): system setter","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(NormalizersTom): default method, does nothing","location" : {"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetNormalizersTom"]},{"name" : "Tester(NormalizersTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1446,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasNormalizersTom"]},{"name" : "ContainedTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1471,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 39,"comment" : "ContainedTom","location" : {"line" : 2458,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ContainedTom"]},{"name" : "ContainingTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1496,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 39,"comment" : "ContainingTom","location" : {"line" : 2478,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ContainingTom"]},{"name" : "CyclicExtensionsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]],[["IsTableOfMarks"],["IsList"]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1540,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1541,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "CyclicExtensionsTom: system getter","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(CyclicExtensionsTom)"]]},{"rank" : 1,"comment" : "CyclicExtensionsTom: for a table of marks (classes for all prime div. of the group order)","location" : {"line" : 2490,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 20,"comment" : "CyclicExtensionsTom: for a table of marks, and a prime","location" : {"line" : 2497,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]},{"rank" : 3,"comment" : "CyclicExtensionsTom: for a table of marks, and a list (of primes)","location" : {"line" : 2526,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(CyclicExtensionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(CyclicExtensionsTom): system setter","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(CyclicExtensionsTom): default method, does nothing","location" : {"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetCyclicExtensionsTom"]},{"name" : "Tester(CyclicExtensionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1539,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasCyclicExtensionsTom"]},{"name" : "ComputedCyclicExtensionsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ComputedCyclicExtensionsTom: system getter","location" : {"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(ComputedCyclicExtensionsTom)"]]},{"rank" : 1,"comment" : "ComputedCyclicExtensionsTom","location" : {"line" : 2535,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ComputedCyclicExtensionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ComputedCyclicExtensionsTom): system mutable setter","location" : {"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ComputedCyclicExtensionsTom): default method, does nothing","location" : {"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetComputedCyclicExtensionsTom"]},{"name" : "Tester(ComputedCyclicExtensionsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1566,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasComputedCyclicExtensionsTom"]},{"name" : "CyclicExtensionsTomOp","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]],[["IsTableOfMarks"],["IsList"]]],"locations" : [{"line" : 1567,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1568,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "CyclicExtensionsTomOp: for one prime","location" : {"line" : 2588,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]},{"rank" : 3,"comment" : "CyclicExtensionsTomOp: for a table of marks, and a list (of primes)","location" : {"line" : 2619,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CyclicExtensionsTomOp"]},{"name" : "DecomposedFixedPointVector","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsList"]]],"locations" : [{"line" : 1606,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 3,"comment" : "DecomposedFixedPointVector","location" : {"line" : 2662,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DecomposedFixedPointVector"]},{"name" : "EulerianFunctionByTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]],[["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1643,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1645,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "EulerianFunctionByTom","location" : {"line" : 2674,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [{"rank" : 39,"comment" : "EulerianFunctionByTom","location" : {"line" : 2694,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["EulerianFunctionByTom"]},{"name" : "IntersectionsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1680,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 39,"comment" : "IntersectionsTom","location" : {"line" : 2761,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IntersectionsTom"]},{"name" : "FactorGroupTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1718,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "FactorGroupTom: for a table of marks, and a positive integer","location" : {"line" : 2847,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FactorGroupTom"]},{"name" : "MaximalSubgroupsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]],[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 1751,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "MaximalSubgroupsTom: system getter","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(MaximalSubgroupsTom)"]]},{"rank" : 1,"comment" : "MaximalSubgroupsTom: for a table of marks","location" : {"line" : 2860,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [{"rank" : 20,"comment" : "MaximalSubgroupsTom: for a table of marks, and a positive integer","location" : {"line" : 2879,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MaximalSubgroupsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MaximalSubgroupsTom): system setter","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MaximalSubgroupsTom): default method, does nothing","location" : {"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMaximalSubgroupsTom"]},{"name" : "Tester(MaximalSubgroupsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1750,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMaximalSubgroupsTom"]},{"name" : "MinimalSupergroupsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 1778,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "MinimalSupergroupsTom: for a table of marks","location" : {"line" : 2916,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MinimalSupergroupsTom"]},{"name" : "GeneratorsSubgroupsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "GeneratorsSubgroupsTom: system getter","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(GeneratorsSubgroupsTom)"]]},{"rank" : 1,"comment" : "GeneratorsSubgroupsTom: default method for a table of marks","location" : {"line" : 2945,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GeneratorsSubgroupsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GeneratorsSubgroupsTom): system setter","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GeneratorsSubgroupsTom): default method, does nothing","location" : {"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGeneratorsSubgroupsTom"]},{"name" : "Tester(GeneratorsSubgroupsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1851,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGeneratorsSubgroupsTom"]},{"name" : "StraightLineProgramsTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "StraightLineProgramsTom: system getter","location" : {"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep","Tester(StraightLineProgramsTom)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(StraightLineProgramsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],[]]],"locations" : [{"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(StraightLineProgramsTom): system setter","location" : {"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(StraightLineProgramsTom): default method, does nothing","location" : {"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetStraightLineProgramsTom"]},{"name" : "Tester(StraightLineProgramsTom)","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"]]],"locations" : [{"line" : 1883,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasStraightLineProgramsTom"]},{"name" : "RepresentativeTom","type" : "GAP_Operation","filters" : [[["IsTableOfMarks"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2011,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "RepresentativeTom: for a table of marks with stored `StraightLineProgramsTom' value","location" : {"line" : 2992,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(StraightLineProgramsTom)"],["IsInt","IsPosRat"]]},{"rank" : 22,"comment" : "RepresentativeTom: for a table of marks with stored `GeneratorsSubgroupsTom' value","location" : {"line" : 2968,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(GeneratorsSubgroupsTom)"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RepresentativeTom"]},{"name" : "RepresentativeTomByGenerators","type" : "GAP_Operation","filters" : [[["IsTableOfMarks","Tester(StraightLineProgramsTom)"],["IsInt","IsPosRat"],["IsHomogeneousList"]]],"locations" : [{"line" : 2015,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 26,"comment" : "RepresentativeTomByGenerators","location" : {"line" : 3018,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(StraightLineProgramsTom)"],["IsInt","IsPosRat"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RepresentativeTomByGenerators"]},{"name" : "RepresentativeTomByGeneratorsNC","type" : "GAP_Operation","filters" : [[["IsTableOfMarks","Tester(StraightLineProgramsTom)"],["IsInt","IsPosRat"],["IsHomogeneousList"]]],"locations" : [{"line" : 2019,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 26,"comment" : "RepresentativeTomByGeneratorsNC","location" : {"line" : 3043,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsTableOfMarks","Tester(StraightLineProgramsTom)"],["IsInt","IsPosRat"],["IsHomogeneousList"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RepresentativeTomByGeneratorsNC"]},{"name" : "FusionCharTableTom","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsTableOfMarks"]]],"locations" : [{"line" : 2106,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "FusionCharTableTom: for ordinary character table and table of marks","location" : {"line" : 3526,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsOrdinaryTable"],["IsTableOfMarks"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["FusionCharTableTom"]},{"name" : "PossibleFusionsCharTableTom","type" : "GAP_Operation","filters" : [[["IsOrdinaryTable"],["IsTableOfMarks"]],[["IsOrdinaryTable"],["IsTableOfMarks"],["IsRecord"]]],"locations" : [{"line" : 2109,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 2112,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "PossibleFusionsCharTableTom: for ordinary character table and table of marks","location" : {"line" : 3061,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsOrdinaryTable"],["IsTableOfMarks"]]}],"3args" : [{"rank" : 24,"comment" : "PossibleFusionsCharTableTom: for ordinary character table, table of marks, and record","location" : {"line" : 3502,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsOrdinaryTable"],["IsTableOfMarks"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PossibleFusionsCharTableTom"]},{"name" : "PermCharsTom","type" : "GAP_Operation","filters" : [[["IsList"],["IsTableOfMarks"]],[["IsOrdinaryTable"],["IsTableOfMarks"]]],"locations" : [{"line" : 2160,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"},{"line" : 2161,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "PermCharsTom: for character table and table of marks","location" : {"line" : 3577,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsOrdinaryTable"],["IsTableOfMarks"]]},{"rank" : 3,"comment" : "PermCharsTom: for explicit fusion map and table of marks","location" : {"line" : 3562,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsList"],["IsTableOfMarks"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PermCharsTom"]},{"name" : "TableOfMarksCyclic","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]]],"locations" : [{"line" : 2202,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "TableOfMarksCyclic: for a positive integer","location" : {"line" : 3643,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TableOfMarksCyclic"]},{"name" : "TableOfMarksDihedral","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"]]],"locations" : [{"line" : 2246,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 19,"comment" : "TableOfMarksDihedral: for a positive integer","location" : {"line" : 3781,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TableOfMarksDihedral"]},{"name" : "TableOfMarksFrobenius","type" : "GAP_Operation","filters" : [[["IsInt","IsPosRat"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 2276,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 38,"comment" : "TableOfMarksFrobenius: tom of a Frobenius group","location" : {"line" : 3856,"file" : "\/home\/makx\/ac\/gap\/lib\/tom.gi"},"filters" : [["IsInt","IsPosRat"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TableOfMarksFrobenius"]},{"name" : "MagmaInputString","type" : "GAP_Operation","filters" : [[[],["IsString"]]],"locations" : [{"line" : 12,"file" : "\/home\/makx\/ac\/gap\/lib\/other.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 63,"comment" : "MagmaInputString: perm group","location" : {"line" : 30,"file" : "\/home\/makx\/ac\/gap\/lib\/other.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["MagmaInputString"]},{"name" : "ShrinkCoeffs","type" : "GAP_Operation","filters" : [[["IsMutable","IsList"]]],"locations" : [{"line" : 355,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 26,"comment" : "ShrinkCoeffs: 8 bit vector","location" : {"line" : 382,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","Is8BitVectorRep"]]},{"rank" : 23,"comment" : "ShrinkCoeffs: for GF2 vector","location" : {"line" : 396,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsMutable","IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject","IsGF2VectorRep"]]},{"rank" : 4,"comment" : "ShrinkCoeffs: call `ShrinkRowVector'","location" : {"line" : 362,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsMutable","IsList"]]},{"rank" : 2,"comment" : "ShrinkCoeffs: error if immutable","location" : {"line" : 366,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsList"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShrinkCoeffs"]},{"name" : "TeXObj","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 393,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["TeXObj"]},{"name" : "LaTeXObj","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 412,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 30,"comment" : "LaTeXObj: matrix","location" : {"line" : 533,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 17,"comment" : "LaTeXObj: rational","location" : {"line" : 634,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsRat"]]},{"rank" : 17,"comment" : "LaTeXObj: for an internal FFE","location" : {"line" : 493,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsFFE","IsInternalRep"]]},{"rank" : 14,"comment" : "LaTeXObj: polynomial","location" : {"line" : 613,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)"]]},{"rank" : 9,"comment" : "LaTeXObj: for an element of an f.p. group (default repres.)","location" : {"line" : 504,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsPackedElementDefaultRep","IsElementOfFpGroup"]]},{"rank" : 6,"comment" : "LaTeXObj: assoc word in letter rep","location" : {"line" : 692,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsAssociativeElement","IsWord","IsLetterAssocWordRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LaTeXObj"]},{"name" : "PositionFirstComponent","type" : "GAP_Operation","filters" : [[["IsList"],[]]],"locations" : [{"line" : 530,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 23,"comment" : "PositionFirstComponent: for dense plain list","location" : {"line" : 834,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsDenseList","IsPlistRep","IsSortedList","Tester(IsSortedList)"],[]]},{"rank" : 8,"comment" : "PositionFirstComponent: for sorted list","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsSSortedList","Tester(IS_SSORT_LIST)"],[]]},{"rank" : 3,"comment" : "PositionFirstComponent: for dense list","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/lib\/obsolete.gi"},"filters" : [["IsDenseList"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["PositionFirstComponent"]},{"name" : "UChar","type" : "GAP_Operation","filters" : [[[]],[[],[]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"},{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 18,"comment" : "UChar","location" : {"line" : 452,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsInt"]]},{"rank" : 1,"comment" : "UChar","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsChar"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UChar"]},{"name" : "Unicode","type" : "GAP_Operation","filters" : [[[]],[[],[]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"},{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "Unicode","location" : {"line" : 569,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsStringRep"]]},{"rank" : 2,"comment" : "Unicode","location" : {"line" : 538,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsList"]]}],"2args" : [{"rank" : 10,"comment" : "Unicode","location" : {"line" : 565,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsString"],["IsString"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Unicode"]},{"name" : "Encode","type" : "GAP_Operation","filters" : [[["IsUnicodeString"]],[["IsUnicodeString"],["IsString"]]],"locations" : [{"line" : 49,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"},{"line" : 50,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "Encode","location" : {"line" : 1064,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"]]}],"2args" : [{"rank" : 12,"comment" : "Encode","location" : {"line" : 1049,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsString"]]}],"3args" : [{"rank" : 12,"comment" : "Encode","location" : {"line" : 1059,"file" : "\/home\/makx\/ac\/gap\/pkg\/GAPDoc-1.5.1\/lib\/UnicodeTools.gi"},"filters" : [["IsUnicodeString"],["IsString"],[]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Encode"]},{"name" : "RootsFloatOp","type" : "GAP_Operation","filters" : [[["IsList"],["IsFloat"]]],"locations" : [{"line" : 23,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["RootsFloatOp"]},{"name" : "ValueInterval","type" : "GAP_Operation","filters" : [[["IsFloatRationalFunction"],["IsFloat"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/lib\/float.gi"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ValueInterval"]},{"name" : "CoKernel","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 59,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 7,"comment" : "CoKernel","location" : {"line" : 71,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CoKernel"]},{"name" : "Degree","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 80,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 31,"comment" : "Degree","location" : {"line" : 82,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"]]},{"rank" : 13,"comment" : "Degree","location" : {"line" : 90,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsRationalFunction"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Degree"]},{"name" : "DerivedSeries","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 96,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "DerivedSeries","location" : {"line" : 110,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "DerivedSeries","location" : {"line" : 112,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DerivedSeries"]},{"name" : "Determinant","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 121,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 31,"comment" : "Determinant","location" : {"line" : 124,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"]]},{"rank" : 30,"comment" : "Determinant","location" : {"line" : 123,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Determinant"]},{"name" : "IsIrreducible","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 148,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 31,"comment" : "IsIrreducible","location" : {"line" : 151,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"]]},{"rank" : 8,"comment" : "IsIrreducible","location" : {"line" : 158,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]]}],"2args" : [{"rank" : 41,"comment" : "IsIrreducible: polynomial","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsPolynomialRing"],["IsPolynomial","Tester(IsPolynomial)"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIrreducible"]},{"name" : "IsMonomial","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 171,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsMonomial","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 31,"comment" : "IsMonomial","location" : {"line" : 173,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"]]},{"rank" : 30,"comment" : "IsMonomial","location" : {"line" : 175,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]},{"rank" : 22,"comment" : "IsMonomial","location" : {"line" : 177,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]},{"rank" : 19,"comment" : "IsMonomial","location" : {"line" : 176,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsInt","IsPosRat"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsMonomial"]},{"name" : "IsNilpotent","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 186,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "IsNilpotent","location" : {"line" : 199,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "IsNilpotent","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsNilpotent","location" : {"line" : 202,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsNilpotent"]},{"name" : "IsSimple","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 211,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "IsSimple","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "IsSimple","location" : {"line" : 215,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsSimple","location" : {"line" : 216,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSimple"]},{"name" : "IsAlmostSimple","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 226,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsAlmostSimple","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsAlmostSimple","location" : {"line" : 230,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsAlmostSimple"]},{"name" : "IsSolvable","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 239,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "IsSolvable","location" : {"line" : 252,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "IsSolvable","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsSolvable","location" : {"line" : 255,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSolvable"]},{"name" : "IsSporadicSimple","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 264,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsSporadicSimple","location" : {"line" : 266,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsSporadicSimple","location" : {"line" : 268,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSporadicSimple"]},{"name" : "IsSupersolvable","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 278,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsSupersolvable","location" : {"line" : 280,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsSupersolvable","location" : {"line" : 282,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsSupersolvable"]},{"name" : "IsPerfect","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 289,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "IsPerfect","location" : {"line" : 291,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 22,"comment" : "IsPerfect","location" : {"line" : 292,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsOrdinaryTable"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsPerfect"]},{"name" : "Kernel","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 303,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 31,"comment" : "Kernel","location" : {"line" : 317,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsClassFunction"]]},{"rank" : 7,"comment" : "Kernel","location" : {"line" : 315,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsGeneralMapping"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Kernel"]},{"name" : "LowerCentralSeries","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 324,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "LowerCentralSeries","location" : {"line" : 336,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "LowerCentralSeries","location" : {"line" : 338,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["LowerCentralSeries"]},{"name" : "Rank","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 347,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 35,"comment" : "Rank","location" : {"line" : 351,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 30,"comment" : "Rank","location" : {"line" : 349,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Rank"]},{"name" : "UpperCentralSeries","type" : "GAP_Operation","filters" : [[[]]],"locations" : [{"line" : 358,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"}],"methods" : {"0args" : [],"1args" : [{"rank" : 36,"comment" : "UpperCentralSeries","location" : {"line" : 370,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]]},{"rank" : 35,"comment" : "UpperCentralSeries","location" : {"line" : 372,"file" : "\/home\/makx\/ac\/gap\/lib\/overload.g"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["UpperCentralSeries"]},{"name" : "IdGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "IdGroup: system getter","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep","Tester(IdGroup)"]]},{"rank" : 35,"comment" : "IdGroup: generic method for groups","location" : {"line" : 301,"file" : "\/home\/makx\/ac\/gap\/small\/small.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "IdGroup: default method requiring categories and checking properties","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IdGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IdGroup): system setter","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IdGroup): default method, does nothing","location" : {"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIdGroup"]},{"name" : "Tester(IdGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 306,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasIdGroup"]},{"name" : "Gap3CatalogueIdGroup","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "Gap3CatalogueIdGroup: system getter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep","Tester(Gap3CatalogueIdGroup)"]]},{"rank" : 35,"comment" : "Gap3CatalogueIdGroup: for permgroups or pcgroups","location" : {"line" : 381,"file" : "\/home\/makx\/ac\/gap\/small\/small.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "Gap3CatalogueIdGroup: default method requiring categories and checking properties","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(Gap3CatalogueIdGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(Gap3CatalogueIdGroup): system setter","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(Gap3CatalogueIdGroup): default method, does nothing","location" : {"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGap3CatalogueIdGroup"]},{"name" : "Tester(Gap3CatalogueIdGroup)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 369,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGap3CatalogueIdGroup"]},{"name" : "FrattinifactorSize","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "FrattinifactorSize: system getter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep","Tester(FrattinifactorSize)"]]},{"rank" : 35,"comment" : "FrattinifactorSize: generic method for groups","location" : {"line" : 436,"file" : "\/home\/makx\/ac\/gap\/small\/small.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "FrattinifactorSize: default method requiring categories and checking properties","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FrattinifactorSize)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FrattinifactorSize): system setter","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FrattinifactorSize): default method, does nothing","location" : {"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrattinifactorSize"]},{"name" : "Tester(FrattinifactorSize)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 400,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrattinifactorSize"]},{"name" : "FrattinifactorId","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20038,"comment" : "FrattinifactorId: system getter","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep","Tester(FrattinifactorId)"]]},{"rank" : 35,"comment" : "FrattinifactorId: generic method for groups","location" : {"line" : 456,"file" : "\/home\/makx\/ac\/gap\/small\/small.gi"},"filters" : [["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 0,"comment" : "FrattinifactorId: default method requiring categories and checking properties","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(FrattinifactorId)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(FrattinifactorId): system setter","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(FrattinifactorId): default method, does nothing","location" : {"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetFrattinifactorId"]},{"name" : "Tester(FrattinifactorId)","type" : "GAP_Operation","filters" : [[["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 413,"file" : "\/home\/makx\/ac\/gap\/small\/small.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasFrattinifactorId"]},{"name" : "GaloisType","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20016,"comment" : "GaloisType: system getter","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"},"filters" : [["IsAttributeStoringRep","Tester(GaloisType)"]]},{"rank" : 19,"comment" : "GaloisType: for polynomials","location" : {"line" : 1239,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]],"aka" : ["DoGaloisType"]}],"2args" : [{"rank" : 21,"comment" : "GaloisType: for polynomials and list","location" : {"line" : 1239,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gi"},"filters" : [["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"],["IsList"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(GaloisType)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"],[]]],"locations" : [{"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(GaloisType): system setter","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(GaloisType): default method, does nothing","location" : {"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetGaloisType"]},{"name" : "Tester(GaloisType)","type" : "GAP_Operation","filters" : [[["IsRationalFunction"]]],"locations" : [{"line" : 56,"file" : "\/home\/makx\/ac\/gap\/lib\/galois.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasGaloisType"]},{"name" : "SimsNo","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20061,"comment" : "SimsNo: system getter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"},"filters" : [["IsAttributeStoringRep","Tester(SimsNo)"]]},{"rank" : 58,"comment" : "SimsNo: via `PrimitiveIdentification'","location" : {"line" : 363,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gi"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : -17,"comment" : "SimsNo: default method requiring categories and checking properties","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"},"filters" : [["CategoryCollections(IsPerm)","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(SimsNo)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(SimsNo): system setter","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(SimsNo): default method, does nothing","location" : {"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetSimsNo"]},{"name" : "Tester(SimsNo)","type" : "GAP_Operation","filters" : [[["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 238,"file" : "\/home\/makx\/ac\/gap\/prim\/primitiv.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasSimsNo"]},{"name" : "MinimalBlockDimension","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20048,"comment" : "MinimalBlockDimension: system getter","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["IsAttributeStoringRep","Tester(MinimalBlockDimension)"]]},{"rank" : -14,"comment" : "MinimalBlockDimension: default method requiring categories and checking properties","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(MinimalBlockDimension)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],[]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(MinimalBlockDimension): system setter","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(MinimalBlockDimension): default method, does nothing","location" : {"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetMinimalBlockDimension"]},{"name" : "Tester(MinimalBlockDimension)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 243,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasMinimalBlockDimension"]},{"name" : "IsPrimitiveMatrixGroup","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20048,"comment" : "IsPrimitiveMatrixGroup: system getter","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["IsAttributeStoringRep","Tester(IsPrimitiveMatrixGroup)"]]},{"rank" : -14,"comment" : "IsPrimitiveMatrixGroup: default method requiring categories and checking properties","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(IsPrimitiveMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"],["IsBool"]]],"locations" : [{"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(IsPrimitiveMatrixGroup): system setter","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(IsPrimitiveMatrixGroup): default method, does nothing","location" : {"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetIsLinearlyPrimitive","SetIsPrimitiveMatrixGroup"]},{"name" : "Tester(IsPrimitiveMatrixGroup)","type" : "GAP_Operation","filters" : [[["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]],"locations" : [{"line" : 257,"file" : "\/home\/makx\/ac\/gap\/prim\/irredsol.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "_GapToJsonStreamInternal","type" : "GAP_Operation","filters" : [[["IsOutputStream"],[]]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 31,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsInt"]]},{"rank" : 15,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsFloat"]]},{"rank" : 7,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 60,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsString"]]},{"rank" : 4,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 76,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsList"]]},{"rank" : 3,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 94,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsRecord"]]},{"rank" : 3,"comment" : "_GapToJsonStreamInternal","location" : {"line" : 47,"file" : "\/home\/makx\/ac\/gap\/pkg\/json\/gap\/json.gi"},"filters" : [["IsOutputStream"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["_GapToJsonStreamInternal"]},{"name" : "ProcessID","type" : "GAP_Operation","filters" : [[["IsFile"]]],"locations" : [{"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 20004,"comment" : "ProcessID: system getter","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"filters" : [["IsAttributeStoringRep","Tester(ProcessID)"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []}},{"name" : "Setter(ProcessID)","type" : "GAP_Operation","filters" : [[["IsFile"],[]]],"locations" : [{"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "Setter(ProcessID): system setter","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"filters" : [["IsAttributeStoringRep"],[]]},{"rank" : 0,"comment" : "Setter(ProcessID): default method, does nothing","location" : {"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"},"filters" : [[],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SetProcessID"]},{"name" : "Tester(ProcessID)","type" : "GAP_Operation","filters" : [[["IsFile"]]],"locations" : [{"line" : 17,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/io.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasProcessID"]},{"name" : "IO_Pickle","type" : "GAP_Operation","filters" : [[["IsFile"],[]],[[]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gd"},{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 0,"comment" : "IO_Pickle: for an object, pickle to string method","location" : {"line" : 289,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [[]]}],"2args" : [{"rank" : 59,"comment" : "IO_Pickle: for a finite field","location" : {"line" : 1149,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsNonTrivial","Tester(IsNonTrivial)","IsFinite","Tester(IsFinite)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]]},{"rank" : 59,"comment" : "IO_Pickle: for a permutation group","location" : {"line" : 1110,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 46,"comment" : "IO_Pickle: for a matrix group","location" : {"line" : 1131,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]]},{"rank" : 21,"comment" : "IO_Pickle: for a univariate Laurent polynomial","location" : {"line" : 823,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsLaurentPolynomial","Tester(IsLaurentPolynomial)","IsLaurentPolynomialDefaultRep"]]},{"rank" : 21,"comment" : "IO_Pickle: for a string","location" : {"line" : 332,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsList","IsStringRep"]]},{"rank" : 19,"comment" : "IO_Pickle: for a univariate rational function","location" : {"line" : 851,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsUnivariateRationalFunctionDefaultRep"]]},{"rank" : 19,"comment" : "IO_Pickle: for an integer","location" : {"line" : 310,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsInt"]]},{"rank" : 18,"comment" : "IO_Pickle: for rational functions","location" : {"line" : 783,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsPolynomialFunction","IsPolynomialDefaultRep"]]},{"rank" : 17,"comment" : "IO_Pickle: for rational functions","location" : {"line" : 757,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsPolynomialFunction","IsRationalFunctionDefaultRep"]]},{"rank" : 16,"comment" : "IO_Pickle: for a cyclotomic","location" : {"line" : 465,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsCyclotomic"]]},{"rank" : 16,"comment" : "IO_Pickle: for a finite field element","location" : {"line" : 457,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsFFE"]]},{"rank" : 14,"comment" : "IO_Pickle: for a float","location" : {"line" : 431,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsFloat"]]},{"rank" : 11,"comment" : "IO_Pickle: for a weak pointer object","location" : {"line" : 1055,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsList","IsWeakPointerObject"]]},{"rank" : 9,"comment" : "IO_Pickle: for a permutation","location" : {"line" : 379,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsPerm"]]},{"rank" : 8,"comment" : "IO_Pickle: for a partial perm","location" : {"line" : 414,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsPartialPerm"]]},{"rank" : 8,"comment" : "IO_Pickle: for a transformation","location" : {"line" : 391,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsTransformation"]]},{"rank" : 4,"comment" : "IO_Pickle: for a real random source","location" : {"line" : 96,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/realrandom.gi"},"filters" : [["IsFile"],["IsRealRandomSource"]]},{"rank" : 4,"comment" : "IO_Pickle: for a Mersenne twister random source","location" : {"line" : 935,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsRandomSource","IsMersenneTwister"]]},{"rank" : 4,"comment" : "IO_Pickle: for a GAP random source","location" : {"line" : 917,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsRandomSource","IsGAPRandomSource"]]},{"rank" : 4,"comment" : "IO_Pickle: for the global random source","location" : {"line" : 899,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsRandomSource","IsGlobalRandomSource"]]},{"rank" : 3,"comment" : "IO_Pickle: for an operation","location" : {"line" : 951,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsFunction","IsOperation"]]},{"rank" : 3,"comment" : "IO_Pickle: IO_Results are forbidden","location" : {"line" : 743,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IO_Result"]]},{"rank" : 3,"comment" : "IO_Pickle: for a list","location" : {"line" : 529,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsList"]]},{"rank" : 2,"comment" : "IO_Pickle: for a function","location" : {"line" : 985,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsFunction"]]},{"rank" : 2,"comment" : "IO_Pickle: for a straight line program","location" : {"line" : 878,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsStraightLineProgram"]]},{"rank" : 2,"comment" : "IO_Pickle: for a record","location" : {"line" : 701,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsRecord"]]},{"rank" : 2,"comment" : "IO_Pickle: for a character","location" : {"line" : 443,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsChar"]]},{"rank" : 2,"comment" : "IO_Pickle: for a boolean","location" : {"line" : 368,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IO_Pickle"]},{"name" : "IO_Unpickle","type" : "GAP_Operation","filters" : [[["IsFile"]],[["IsStringRep"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gd"},{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "IO_Unpickle: for a string, unpickle from string method","location" : {"line" : 299,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsStringRep"]]},{"rank" : 1,"comment" : "IO_Unpickle: for a file","location" : {"line" : 277,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/pickle.gi"},"filters" : [["IsFile"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IO_Unpickle"]},{"name" : "BackgroundJobByFork","type" : "GAP_Operation","filters" : [[["IsFunction"],[]],[["IsFunction"],[],["IsRecord"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 1,"comment" : "BackgroundJobByFork: for a function and a list","location" : {"line" : 36,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsFunction"],[]]}],"3args" : [{"rank" : 2,"comment" : "BackgroundJobByFork: for a function, a list and a record","location" : {"line" : 103,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsFunction"],[],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["BackgroundJobByFork"]},{"name" : "IsIdle","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"]],[["IsWorkerFarmByFork"]]],"locations" : [{"line" : 41,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 116,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "IsIdle: for a worker farm by fork","location" : {"line" : 581,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"]]},{"rank" : 4,"comment" : "IsIdle: for a background job by fork","location" : {"line" : 148,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IsIdle"]},{"name" : "HasTerminated","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"]]],"locations" : [{"line" : 42,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "HasTerminated: for a background job by fork","location" : {"line" : 155,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["HasTerminated"]},{"name" : "WaitUntilIdle","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"]]],"locations" : [{"line" : 43,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "WaitUntilIdle: for a background job by fork","location" : {"line" : 186,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["WaitUntilIdle"]},{"name" : "Kill","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"]],[["IsWorkerFarmByFork"]]],"locations" : [{"line" : 44,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 114,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "Kill: for a worker farm by fork","location" : {"line" : 542,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"]]},{"rank" : 4,"comment" : "Kill: for a background job by fork","location" : {"line" : 201,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Kill"]},{"name" : "Pickup","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"]],[["IsWorkerFarmByFork"]]],"locations" : [{"line" : 45,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 117,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 4,"comment" : "Pickup: for a worker farm by fork","location" : {"line" : 574,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"]]},{"rank" : 4,"comment" : "Pickup: for a background job by fork","location" : {"line" : 222,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Pickup"]},{"name" : "Submit","type" : "GAP_Operation","filters" : [[["IsBackgroundJob"],[]],[["IsWorkerFarmByFork"],["IsList"]]],"locations" : [{"line" : 46,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 115,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 6,"comment" : "Submit: for a worker farm by fork","location" : {"line" : 564,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"],["IsList"]]},{"rank" : 4,"comment" : "Submit: for a background job by fork and an object","location" : {"line" : 248,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsBackgroundJobByFork"],[]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Submit"]},{"name" : "ParTakeFirstResultByFork","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]],[["IsList"],["IsList"],["IsRecord"]]],"locations" : [{"line" : 53,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 54,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "ParTakeFirstResultByFork: for two lists","location" : {"line" : 254,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [{"rank" : 5,"comment" : "ParTakeFirstResultByFork: for two lists and a record","location" : {"line" : 312,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsList"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ParTakeFirstResultByFork"]},{"name" : "ParDoByFork","type" : "GAP_Operation","filters" : [[["IsList"],["IsList"]],[["IsList"],["IsList"],["IsRecord"]]],"locations" : [{"line" : 62,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"},{"line" : 63,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 4,"comment" : "ParDoByFork: for two lists","location" : {"line" : 318,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsList"]]}],"3args" : [{"rank" : 5,"comment" : "ParDoByFork: for two lists and a record","location" : {"line" : 393,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsList"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ParDoByFork"]},{"name" : "ParMapReduceByFork","type" : "GAP_Operation","filters" : [[["IsList"],["IsFunction"],["IsFunction"],["IsRecord"]]],"locations" : [{"line" : 73,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [{"rank" : 5,"comment" : "ParMapReduceByFork: for a list, two functions and a record","location" : {"line" : 449,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsFunction"],["IsFunction"],["IsRecord"]]}],"5args" : [],"6args" : []},"aka" : ["ParMapReduceByFork"]},{"name" : "ParListByFork","type" : "GAP_Operation","filters" : [[["IsList"],["IsFunction"],["IsRecord"]]],"locations" : [{"line" : 84,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 4,"comment" : "ParListByFork: for a list, two functions and a record","location" : {"line" : 497,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsList"],["IsFunction"],["IsRecord"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ParListByFork"]},{"name" : "ParWorkerFarmByFork","type" : "GAP_Operation","filters" : [[["IsFunction"],["IsRecord"]]],"locations" : [{"line" : 106,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 2,"comment" : "ParWorkerFarmByFork: for a function and a record","location" : {"line" : 532,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsFunction"],["IsRecord"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ParWorkerFarmByFork"]},{"name" : "DoQueues","type" : "GAP_Operation","filters" : [[["IsWorkerFarmByFork"],["IsBool"]]],"locations" : [{"line" : 113,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 5,"comment" : "DoQueues: for a worker farm by fork","location" : {"line" : 631,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/background.gi"},"filters" : [["IsWorkerFarmByFork"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoQueues"]},{"name" : "IOHub","type" : "GAP_Operation","filters" : [[]],"locations" : [{"line" : 24,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["IOHub"]},{"name" : "CloseConnection","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 26,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 22,"comment" : "CloseConnection: for an IO hub and a positive integer","location" : {"line" : 84,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsInt","IsPosRat"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["CloseConnection"]},{"name" : "ShutdownServingSocket","type" : "GAP_Operation","filters" : [[["IsIOHub"]]],"locations" : [{"line" : 27,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "ShutdownServingSocket: for an IO hub","location" : {"line" : 93,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["ShutdownServingSocket"]},{"name" : "Shutdown","type" : "GAP_Operation","filters" : [[["IsIOHub"]]],"locations" : [{"line" : 28,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "Shutdown: for an IO hub","location" : {"line" : 105,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["Shutdown"]},{"name" : "AttachServingSocket","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsStringRep"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 29,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 24,"comment" : "AttachServingSocket: for an address and a port","location" : {"line" : 46,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsStringRep"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AttachServingSocket"]},{"name" : "NewConnection","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsInt"],["IsInt"]]],"locations" : [{"line" : 30,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 39,"comment" : "NewConnection: for an IO hub and two integers","location" : {"line" : 149,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsInt"],["IsInt"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewConnection"]},{"name" : "AcceptNewConnection","type" : "GAP_Operation","filters" : [[["IsIOHub"]]],"locations" : [{"line" : 31,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "AcceptNewConnection: for an IO hub","location" : {"line" : 174,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["AcceptNewConnection"]},{"name" : "GetInput","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsInt"]]],"locations" : [{"line" : 32,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 21,"comment" : "GetInput: for an IO hub and an integer","location" : {"line" : 198,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetInput"]},{"name" : "SubmitOutput","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsInt","IsPosRat"],["IsStringRep"]]],"locations" : [{"line" : 33,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 24,"comment" : "SubmitOutput: for an IO hub, a positive integers and an obj","location" : {"line" : 209,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsInt","IsPosRat"],["IsStringRep"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["SubmitOutput"]},{"name" : "OutputQueue","type" : "GAP_Operation","filters" : [[["IsIOHub"]]],"locations" : [{"line" : 34,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "OutputQueue: for an IO hub","location" : {"line" : 213,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["OutputQueue"]},{"name" : "InputQueue","type" : "GAP_Operation","filters" : [[["IsIOHub"]]],"locations" : [{"line" : 35,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "InputQueue: for an IO hub","location" : {"line" : 217,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["InputQueue"]},{"name" : "DoIO","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsBool"]],[["IsIOHub"]]],"locations" : [{"line" : 36,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"},{"line" : 37,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 3,"comment" : "DoIO: for an IO hub","location" : {"line" : 242,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"]]}],"2args" : [{"rank" : 4,"comment" : "DoIO: for an IO hub and a boolean","location" : {"line" : 371,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsBool"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["DoIO"]},{"name" : "NewTCPConnection","type" : "GAP_Operation","filters" : [[["IsIOHub"],["IsStringRep"],["IsInt","IsPosRat"]]],"locations" : [{"line" : 38,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [],"3args" : [{"rank" : 24,"comment" : "NewTCPConnection: for an IO hub, an address and a port","location" : {"line" : 161,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsIOHub"],["IsStringRep"],["IsInt","IsPosRat"]]}],"4args" : [],"5args" : [],"6args" : []},"aka" : ["NewTCPConnection"]},{"name" : "StoreLenIn8Bytes","type" : "GAP_Operation","filters" : [[["IsStringRep"],["IsInt"]]],"locations" : [{"line" : 39,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [],"2args" : [{"rank" : 20,"comment" : "StoreLenIn8Bytes: for a string and a len","location" : {"line" : 228,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsStringRep"],["IsInt"]]}],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["StoreLenIn8Bytes"]},{"name" : "GetLenFrom8Bytes","type" : "GAP_Operation","filters" : [[["IsStringRep"]]],"locations" : [{"line" : 40,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gd"}],"methods" : {"0args" : [],"1args" : [{"rank" : 2,"comment" : "GetLenFrom8Bytes: for a string","location" : {"line" : 239,"file" : "\/home\/makx\/ac\/gap\/pkg\/io-4.4.4\/gap\/iohub.gi"},"filters" : [["IsStringRep"]]}],"2args" : [],"3args" : [],"4args" : [],"5args" : [],"6args" : []},"aka" : ["GetLenFrom8Bytes"]},{"name" : "ANFAutomorphism","type" : "GAP_Function","location" : {},"aka" : ["ANFAutomorphism"]},{"name" : "APolyProd","type" : "GAP_Function","location" : {},"aka" : ["APolyProd"]},{"name" : "AbelianInvariantsNormalClosureFpGroupRrs","type" : "GAP_Function","location" : {},"aka" : ["AbelianInvariantsNormalClosureFpGroup","AbelianInvariantsNormalClosureFpGroupRrs"]},{"name" : "AbelianInvariantsSubgroupFpGroupMtc","type" : "GAP_Function","location" : {},"aka" : ["AbelianInvariantsSubgroupFpGroupMtc"]},{"name" : "AbelianInvariantsSubgroupFpGroupRrs","type" : "GAP_Function","location" : {},"aka" : ["AbelianInvariantsSubgroupFpGroup","AbelianInvariantsSubgroupFpGroupRrs"]},{"name" : "AbelianNumberField","type" : "GAP_Function","location" : {},"aka" : ["AbelianNumberField","NF","NumberField"]},{"name" : "AbelianPQuotient","type" : "GAP_Function","location" : {},"aka" : ["AbelianPQuotient"]},{"name" : "AbsAndIrredModules","type" : "GAP_Function","location" : {},"aka" : ["AbsAndIrredModules"]},{"name" : "AbsInt","type" : "GAP_Function","location" : {}},{"name" : "AbstractWordTietzeWord","type" : "GAP_Function","location" : {},"aka" : ["AbstractWordTietzeWord"]},{"name" : "Action","type" : "GAP_Function","location" : {},"aka" : ["Action"]},{"name" : "ActionAbelianCSPG","type" : "GAP_Function","location" : {},"aka" : ["ActionAbelianCSPG"]},{"name" : "ActionHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["ActionHomomorphism"]},{"name" : "ActionHomomorphismConstructor","type" : "GAP_Function","location" : {},"aka" : ["ActionHomomorphismConstructor"]},{"name" : "ActionSubspacesElementaryAbelianGroup","type" : "GAP_Function","location" : {},"aka" : ["ActionSubspacesElementaryAbelianGroup"]},{"name" : "AddCosetInfoStabChain","type" : "GAP_Function","location" : {},"aka" : ["AddCosetInfoStabChain"]},{"name" : "AddEquationsSQ","type" : "GAP_Function","location" : {},"aka" : ["AddEquationsSQ"]},{"name" : "AddGenerator","type" : "GAP_Function","location" : {},"aka" : ["AddGenerator"]},{"name" : "AddGeneratorsExtendSchreierTree","type" : "GAP_Function","location" : {},"aka" : ["AddGeneratorsExtendSchreierTree"]},{"name" : "AddGeneratorsGenimagesExtendSchreierTree","type" : "GAP_Function","location" : {},"aka" : ["AddGeneratorsGenimagesExtendSchreierTree"]},{"name" : "AddHandlerBuildRecBibXMLEntry","type" : "GAP_Function","location" : {},"aka" : ["AddHandlerBuildRecBibXMLEntry"]},{"name" : "AddNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["AddNaturalHomomorphismsPool"]},{"name" : "AddNormalizingElementPcgs","type" : "GAP_Function","location" : {},"aka" : ["AddNormalizingElementPcgs"]},{"name" : "AddPageNumbersToSix","type" : "GAP_Function","location" : {},"aka" : ["AddPageNumbersToSix"]},{"name" : "AddParagraphNumbersGapDocTree","type" : "GAP_Function","location" : {},"aka" : ["AddParagraphNumbersGapDocTree"]},{"name" : "AddRefinement","type" : "GAP_Function","location" : {},"aka" : ["AddRefinement"]},{"name" : "AddRelator","type" : "GAP_Function","location" : {},"aka" : ["AddRelator"]},{"name" : "AddRootParseTree","type" : "GAP_Function","location" : {},"aka" : ["AddRootParseTree"]},{"name" : "AffineActionByMatrixGroup","type" : "GAP_Function","location" : {},"aka" : ["AffineActionByMatrixGroup"]},{"name" : "AffineActionLayer","type" : "GAP_Function","location" : {},"aka" : ["AffineActionLayer"]},{"name" : "Agemo","type" : "GAP_Function","location" : {},"aka" : ["Agemo"]},{"name" : "AgemoAbove","type" : "GAP_Function","location" : {},"aka" : ["AgemoAbove"]},{"name" : "AlgExtEmbeddedPol","type" : "GAP_Function","location" : {},"aka" : ["AlgExtEmbeddedPol"]},{"name" : "AlgExtSquareHensel","type" : "GAP_Function","location" : {},"aka" : ["AlgExtSquareHensel"]},{"name" : "AlgebraByStructureConstants","type" : "GAP_Function","location" : {},"aka" : ["AlgebraByStructureConstants"]},{"name" : "AlgebraHomomorphismByImages","type" : "GAP_Function","location" : {},"aka" : ["AlgebraHomomorphismByImages"]},{"name" : "AlgebraWithOneHomomorphismByImages","type" : "GAP_Function","location" : {},"aka" : ["AlgebraWithOneHomomorphismByImages"]},{"name" : "AllHomomorphismClasses","type" : "GAP_Function","location" : {},"aka" : ["AllHomomorphismClasses"]},{"name" : "AllHomomorphisms","type" : "GAP_Function","location" : {},"aka" : ["AllHomomorphisms"]},{"name" : "AllIrreducibleMonicPolynomials","type" : "GAP_Function","location" : {},"aka" : ["AllIrreducibleMonicPolynomials"]},{"name" : "AllIrreducibleSolvableGroups","type" : "GAP_Function","location" : {},"aka" : ["AllIrreducibleSolvableGroups"]},{"name" : "AllModulesSQ","type" : "GAP_Function","location" : {},"aka" : ["AllModulesSQ"]},{"name" : "AllPrimitiveGroups","type" : "GAP_Function","location" : {},"aka" : ["AllPrimitiveGroups"]},{"name" : "AllSmallNonabelianSimpleGroups","type" : "GAP_Function","location" : {},"aka" : ["AllSmallNonabelianSimpleGroups"]},{"name" : "AntiSymmetricParts","type" : "GAP_Function","location" : {},"aka" : ["AntiSymmetricParts"]},{"name" : "AppendTo1","type" : "GAP_Function","location" : {},"aka" : ["AppendTo1"]},{"name" : "Apply","type" : "GAP_Function","location" : {},"aka" : ["Apply"]},{"name" : "ApplyToNodesParseTree","type" : "GAP_Function","location" : {},"aka" : ["ApplyToNodesParseTree"]},{"name" : "ApproximateSuborbitsStabilizerPermGroup","type" : "GAP_Function","location" : {},"aka" : ["ApproximateSuborbitsStabiliserPermGroup","ApproximateSuborbitsStabilizerPermGroup"]},{"name" : "ArithmeticElementCreator","type" : "GAP_Function","location" : {},"aka" : ["ArithmeticElementCreator"]},{"name" : "Arrangements","type" : "GAP_Function","location" : {},"aka" : ["Arrangements"]},{"name" : "AsBinaryRelationOnPoints","type" : "GAP_Function","location" : {},"aka" : ["AsBinaryRelationOnPoints"]},{"name" : "AsBlockMatrix","type" : "GAP_Function","location" : {},"aka" : ["AsBlockMatrix"]},{"name" : "AscendingChain","type" : "GAP_Function","location" : {},"aka" : ["AscendingChain"]},{"name" : "AssertionLevel","type" : "GAP_Function","location" : {},"aka" : ["AssertionLevel"]},{"name" : "AssignNiceMonomorphismAutomorphismGroup","type" : "GAP_Function","location" : {},"aka" : ["AssignNiceMonomorphismAutomorphismGroup"]},{"name" : "AssocWord","type" : "GAP_Function","location" : {},"aka" : ["AssocWord"]},{"name" : "AssociatedPartition","type" : "GAP_Function","location" : {},"aka" : ["AssociatedPartition"]},{"name" : "AtlasIrrationality","type" : "GAP_Function","location" : {},"aka" : ["AtlasIrrationality"]},{"name" : "AugmentedCosetTableInWholeGroup","type" : "GAP_Function","location" : {},"aka" : ["AugmentedCosetTableInWholeGroup"]},{"name" : "AugmentedCosetTableMtc","type" : "GAP_Function","location" : {},"aka" : ["AugmentedCosetTableMtc"]},{"name" : "AugmentedCosetTableRrs","type" : "GAP_Function","location" : {},"aka" : ["AugmentedCosetTableRrs"]},{"name" : "AutoloadPackages","type" : "GAP_Function","location" : {},"aka" : ["AutoloadPackages"]},{"name" : "AutomorphismGroupAbelianGroup","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismGroupAbelianGroup"]},{"name" : "AutomorphismGroupFittingFree","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismGroupFittingFree"]},{"name" : "AutomorphismGroupFrattFreeGroup","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismGroupFrattFreeGroup"]},{"name" : "AutomorphismGroupNilpotentGroup","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismGroupNilpotentGroup"]},{"name" : "AutomorphismGroupSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismGroupSolvableGroup"]},{"name" : "AutomorphismRepresentingGroup","type" : "GAP_Function","location" : {},"aka" : ["AutomorphismRepresentingGroup"]},{"name" : "Average","type" : "GAP_Function","location" : {},"aka" : ["Average"]},{"name" : "BPolyProd","type" : "GAP_Function","location" : {},"aka" : ["BPolyProd"]},{"name" : "BackgroundJobByForkChild","type" : "GAP_Function","location" : {},"aka" : ["BackgroundJobByForkChild"]},{"name" : "Base64String","type" : "GAP_Function","location" : {},"aka" : ["Base64String"]},{"name" : "BaseFixedSpace","type" : "GAP_Function","location" : {},"aka" : ["BaseFixedSpace"]},{"name" : "BasePoint","type" : "GAP_Function","location" : {},"aka" : ["BasePoint"]},{"name" : "BaseShortVectors","type" : "GAP_Function","location" : {},"aka" : ["BaseShortVectors"]},{"name" : "BaseStabChain","type" : "GAP_Function","location" : {},"aka" : ["BaseStabChain"]},{"name" : "BaseSteinitzVectors","type" : "GAP_Function","location" : {},"aka" : ["BaseSteinitzVectors"]},{"name" : "BasicSpinRepresentationOfSymmetricGroup","type" : "GAP_Function","location" : {},"aka" : ["BasicSpinRepresentationOfSymmetricGroup"]},{"name" : "BasisNullspaceModN","type" : "GAP_Function","location" : {},"aka" : ["BasisNullspaceModN"]},{"name" : "BasisVectorsForMatrixAction","type" : "GAP_Function","location" : {},"aka" : ["BasisVectorsForMatrixAction"]},{"name" : "BasisWithReplacedLeftModule","type" : "GAP_Function","location" : {},"aka" : ["BasisWithReplacedLeftModule"]},{"name" : "Bell","type" : "GAP_Function","location" : {},"aka" : ["Bell"]},{"name" : "Bernoulli","type" : "GAP_Function","location" : {},"aka" : ["Bernoulli"]},{"name" : "BestQuoInt","type" : "GAP_Function","location" : {},"aka" : ["BestQuoInt"]},{"name" : "BestSplittingMatrix","type" : "GAP_Function","location" : {},"aka" : ["BestSplittingMatrix"]},{"name" : "BetaSet","type" : "GAP_Function","location" : {},"aka" : ["BetaSet"]},{"name" : "BibEntry","type" : "GAP_Function","location" : {},"aka" : ["BibEntry"]},{"name" : "BinaryRelationByElements","type" : "GAP_Function","location" : {},"aka" : ["BinaryRelationByElements"]},{"name" : "BinaryRelationOnPoints","type" : "GAP_Function","location" : {},"aka" : ["BinaryRelationByListOfImages","BinaryRelationOnPoints"]},{"name" : "BinaryRelationOnPointsNC","type" : "GAP_Function","location" : {},"aka" : ["BinaryRelationByListOfImagesNC","BinaryRelationOnPointsNC"]},{"name" : "BindGlobal","type" : "GAP_Function","location" : {},"aka" : ["BindGlobal"]},{"name" : "Binomial","type" : "GAP_Function","location" : {},"aka" : ["Binomial"]},{"name" : "BlistStringDecode","type" : "GAP_Function","location" : {},"aka" : ["BlistStringDecode"]},{"name" : "BlockMatrix","type" : "GAP_Function","location" : {},"aka" : ["BlockMatrix"]},{"name" : "BlowUpCocycleSQ","type" : "GAP_Function","location" : {},"aka" : ["BlowUpCocycleSQ"]},{"name" : "BlowUpIsomorphism","type" : "GAP_Function","location" : {},"aka" : ["BlowUpIsomorphism"]},{"name" : "BlownUpMat","type" : "GAP_Function","location" : {},"aka" : ["BlownUpMat"]},{"name" : "BlownUpModule","type" : "GAP_Function","location" : {},"aka" : ["BlownUpModule"]},{"name" : "BlownUpVector","type" : "GAP_Function","location" : {},"aka" : ["BlownUpVector"]},{"name" : "BombieriNorm","type" : "GAP_Function","location" : {},"aka" : ["BombieriNorm"]},{"name" : "BuildRecBibXMLEntry","type" : "GAP_Function","location" : {},"aka" : ["BuildRecBibXMLEntry"]},{"name" : "CIUnivPols","type" : "GAP_Function","location" : {},"aka" : ["CIUnivPols"]},{"name" : "COAffineBlocks","type" : "GAP_Function","location" : {},"aka" : ["COAffineBlocks"]},{"name" : "COAffineCohomologyAction","type" : "GAP_Function","location" : {},"aka" : ["COAffineCohomologyAction"]},{"name" : "COComplements","type" : "GAP_Function","location" : {},"aka" : ["COComplements"]},{"name" : "COComplementsMain","type" : "GAP_Function","location" : {},"aka" : ["COComplementsMain"]},{"name" : "CONextCentral","type" : "GAP_Function","location" : {},"aka" : ["CONextCentral"]},{"name" : "CONextCentralizer","type" : "GAP_Function","location" : {},"aka" : ["CONextCentraliser","CONextCentralizer"]},{"name" : "CONextCocycles","type" : "GAP_Function","location" : {},"aka" : ["CONextCocycles"]},{"name" : "CONextComplements","type" : "GAP_Function","location" : {},"aka" : ["CONextComplements"]},{"name" : "COSolvableFactor","type" : "GAP_Function","location" : {},"aka" : ["COSolvableFactor"]},{"name" : "CallWithTimeout","type" : "GAP_Function","location" : {},"aka" : ["CallWithTimeout"]},{"name" : "CallWithTimeoutList","type" : "GAP_Function","location" : {},"aka" : ["CallWithTimeoutList"]},{"name" : "CanEasilyCompareElementsFamily","type" : "GAP_Function","location" : {},"aka" : ["CanEasilyCompareElementsFamily"]},{"name" : "CanEasilySortElementsFamily","type" : "GAP_Function","location" : {},"aka" : ["CanEasilySortElementsFamily"]},{"name" : "CanonicalRelator","type" : "GAP_Function","location" : {},"aka" : ["CanonicalRelator"]},{"name" : "CanonicalSubgroupRepresentativePcGroup","type" : "GAP_Function","location" : {},"aka" : ["CanonicalSubgroupRepresentativePcGroup"]},{"name" : "Cartesian","type" : "GAP_Function","location" : {},"aka" : ["Cartesian"]},{"name" : "CasesCSPG","type" : "GAP_Function","location" : {},"aka" : ["CasesCSPG"]},{"name" : "CategoryByName","type" : "GAP_Function","location" : {},"aka" : ["CategoryByName"]},{"name" : "Cell","type" : "GAP_Function","location" : {},"aka" : ["Cell"]},{"name" : "CellNoPoint","type" : "GAP_Function","location" : {},"aka" : ["CellNoPoint"]},{"name" : "CellNoPoints","type" : "GAP_Function","location" : {},"aka" : ["CellNoPoints"]},{"name" : "Cells","type" : "GAP_Function","location" : {},"aka" : ["Cells"]},{"name" : "CentralStepClEANS","type" : "GAP_Function","location" : {},"aka" : ["CentralStepClEANS"]},{"name" : "CentralStepConjugatingElement","type" : "GAP_Function","location" : {},"aka" : ["CentralStepConjugatingElement"]},{"name" : "CentralStepRatClPGroup","type" : "GAP_Function","location" : {},"aka" : ["CentralStepRatClPGroup"]},{"name" : "CentralizerInFiniteDimensionalAlgebra","type" : "GAP_Function","location" : {},"aka" : ["CentraliserInFiniteDimensionalAlgebra","CentralizerInFiniteDimensionalAlgebra"]},{"name" : "CentralizerNormalCSPG","type" : "GAP_Function","location" : {},"aka" : ["CentraliserNormalCSPG","CentralizerNormalCSPG"]},{"name" : "CentralizerNormalTransCSPG","type" : "GAP_Function","location" : {},"aka" : ["CentraliserNormalTransCSPG","CentralizerNormalTransCSPG"]},{"name" : "CentralizerSizeLimitConsiderFunction","type" : "GAP_Function","location" : {},"aka" : ["CentraliserSizeLimitConsiderFunction","CentralizerSizeLimitConsiderFunction"]},{"name" : "CentralizerTransSymmCSPG","type" : "GAP_Function","location" : {},"aka" : ["CentraliserTransSymmCSPG","CentralizerTransSymmCSPG"]},{"name" : "CentralizerWreath","type" : "GAP_Function","location" : {},"aka" : ["CentraliserWreath","CentralizerWreath"]},{"name" : "CentrePcGroup","type" : "GAP_Function","location" : {}},{"name" : "ChangeDirectoryCurrent","type" : "GAP_Function","location" : {},"aka" : ["ChangeDirectoryCurrent"]},{"name" : "ChangeStabChain","type" : "GAP_Function","location" : {},"aka" : ["ChangeStabChain"]},{"name" : "CharValueSymmetric","type" : "GAP_Function","location" : {},"aka" : ["CharValueSymmetric"]},{"name" : "CharValueWeylB","type" : "GAP_Function","location" : {},"aka" : ["CharValueWeylB"]},{"name" : "CharValueWreathSymmetric","type" : "GAP_Function","location" : {},"aka" : ["CharValueWreathSymmetric"]},{"name" : "CharacterString","type" : "GAP_Function","location" : {},"aka" : ["CharacterString"]},{"name" : "CharacterTableHeadOfFactorGroupByFusion","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableHeadOfFactorGroupByFusion"]},{"name" : "CharacterTableOfNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableOfNormalSubgroup"]},{"name" : "CharacterTableQuaternionic","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableQuaternionic"]},{"name" : "CharacterTableRegular","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableRegular"]},{"name" : "CharacterTableWithStoredGroup","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableWithStoredGroup"]},{"name" : "CharacterTableWreathSymmetric","type" : "GAP_Function","location" : {},"aka" : ["CharacterTableWreathSymmetric"]},{"name" : "CharacterTable_IsNilpotentFactor","type" : "GAP_Function","location" : {},"aka" : ["CharacterTable_IsNilpotentFactor"]},{"name" : "CharacterTable_IsNilpotentNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["CharacterTable_IsNilpotentNormalSubgroup"]},{"name" : "CharacterTable_UpperCentralSeriesFactor","type" : "GAP_Function","location" : {},"aka" : ["CharacterTable_UpperCentralSeriesFactor"]},{"name" : "CheckAndCleanGapDocTree","type" : "GAP_Function","location" : {},"aka" : ["CheckAndCleanGapDocTree"]},{"name" : "CheckCosetTableFpGroup","type" : "GAP_Function","location" : {},"aka" : ["CheckCosetTableFpGroup"]},{"name" : "CheckDigitTestFunction","type" : "GAP_Function","location" : {},"aka" : ["CheckDigitTestFunction"]},{"name" : "CheckFixedPoints","type" : "GAP_Function","location" : {},"aka" : ["CheckFixedPoints"]},{"name" : "CheckForHandlingByNiceBasis","type" : "GAP_Function","location" : {},"aka" : ["CheckForHandlingByNiceBasis"]},{"name" : "CheckForUpdates","type" : "GAP_Function","location" : {},"aka" : ["CheckForUpdates"]},{"name" : "CheckPackageLoading","type" : "GAP_Function","location" : {},"aka" : ["CheckPackageLoading"]},{"name" : "CheckPermChar","type" : "GAP_Function","location" : {},"aka" : ["CheckPermChar"]},{"name" : "ChiefSeriesOfGroup","type" : "GAP_Function","location" : {}},{"name" : "ChineseRem","type" : "GAP_Function","location" : {},"aka" : ["ChineseRem"]},{"name" : "Chomp","type" : "GAP_Function","location" : {},"aka" : ["Chomp"]},{"name" : "ChooseNextBasePoint","type" : "GAP_Function","location" : {},"aka" : ["ChooseNextBasePoint"]},{"name" : "Cite","type" : "GAP_Function","location" : {},"aka" : ["Cite"]},{"name" : "ClassComparison","type" : "GAP_Function","location" : {},"aka" : ["ClassComparison"]},{"name" : "ClassFunctionSameType","type" : "GAP_Function","location" : {},"aka" : ["ClassFunctionSameType"]},{"name" : "ClassPositionsOfNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["ClassPositionsOfNormalSubgroup"]},{"name" : "ClassStructureCharTable","type" : "GAP_Function","location" : {},"aka" : ["ClassStructureCharTable"]},{"name" : "ClassesProjectiveImage","type" : "GAP_Function","location" : {},"aka" : ["ClassesProjectiveImage"]},{"name" : "ClassesSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["ClassesSolubleGroup","ClassesSolvableGroup"]},{"name" : "ClassicalIsomorphismTypeFiniteSimpleGroup","type" : "GAP_Function","location" : {},"aka" : ["ClassicalIsomorphismTypeFiniteSimpleGroup"]},{"name" : "ClearObjectMarker","type" : "GAP_Function","location" : {},"aka" : ["ClearObjectMarker"]},{"name" : "CloseHTTPConnection","type" : "GAP_Function","location" : {},"aka" : ["CloseHTTPConnection"]},{"name" : "CloseNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["CloseNaturalHomomorphismsPool"]},{"name" : "ClosureGroupAddElm","type" : "GAP_Function","location" : {},"aka" : ["ClosureGroupAddElm"]},{"name" : "ClosureGroupCompare","type" : "GAP_Function","location" : {},"aka" : ["ClosureGroupCompare"]},{"name" : "ClosureGroupDefault","type" : "GAP_Function","location" : {},"aka" : ["ClosureGroupDefault"]},{"name" : "ClosureGroupIntest","type" : "GAP_Function","location" : {}},{"name" : "ClosureRandomPermGroup","type" : "GAP_Function","location" : {},"aka" : ["ClosureRandomPermGroup"]},{"name" : "ClosureSubgroup","type" : "GAP_Function","location" : {},"aka" : ["ClosureSubgroup"]},{"name" : "ClosureSubgroupNC","type" : "GAP_Function","location" : {},"aka" : ["ClosureSubgroupNC"]},{"name" : "CoKernelGensIterator","type" : "GAP_Function","location" : {},"aka" : ["CoKernelGensIterator"]},{"name" : "CoKernelGensPermHom","type" : "GAP_Function","location" : {},"aka" : ["CoKernelGensPermHom"]},{"name" : "CodePcGroup","type" : "GAP_Function","location" : {},"aka" : ["CodePcGroup"]},{"name" : "CodePcgs","type" : "GAP_Function","location" : {},"aka" : ["CodePcgs"]},{"name" : "CoefficientTaylorSeries","type" : "GAP_Function","location" : {},"aka" : ["CoefficientTaylorSeries"]},{"name" : "CoefficientsMultiadic","type" : "GAP_Function","location" : {},"aka" : ["CoefficientsMultiadic"]},{"name" : "CoeffsCyc","type" : "GAP_Function","location" : {},"aka" : ["CoeffsCyc"]},{"name" : "CollapsedMat","type" : "GAP_Function","location" : {},"aka" : ["CollapsedMat"]},{"name" : "CollectUEALatticeElement","type" : "GAP_Function","location" : {},"aka" : ["CollectUEALatticeElement"]},{"name" : "CollectedPartition","type" : "GAP_Function","location" : {},"aka" : ["CollectedPartition"]},{"name" : "CollectedWordSQ","type" : "GAP_Function","location" : {},"aka" : ["CollectedWordSQ"]},{"name" : "CollectorSQ","type" : "GAP_Function","location" : {},"aka" : ["CollectorSQ"]},{"name" : "ColumnCharacterTable","type" : "GAP_Function","location" : {},"aka" : ["ColumnCharacterTable"]},{"name" : "Combinations","type" : "GAP_Function","location" : {},"aka" : ["Combinations"]},{"name" : "CommutativeDiagram","type" : "GAP_Function","location" : {},"aka" : ["CommutativeDiagram"]},{"name" : "CompanionMat","type" : "GAP_Function","location" : {},"aka" : ["CompanionMat"]},{"name" : "CompareTimes","type" : "GAP_Function","location" : {},"aka" : ["CompareTimes"]},{"name" : "CompareVersionNumbers","type" : "GAP_Function","location" : {},"aka" : ["CompareVersionNumbers"]},{"name" : "CompatibleConjugacyClassesDefault","type" : "GAP_Function","location" : {}},{"name" : "CompatiblePairs","type" : "GAP_Function","location" : {},"aka" : ["CompatiblePairs"]},{"name" : "ComplementClassesRepresentativesEA","type" : "GAP_Function","location" : {},"aka" : ["ComplementClassesRepresentativesEA"]},{"name" : "ComplementFactorFpHom","type" : "GAP_Function","location" : {},"aka" : ["ComplementFactorFpHom"]},{"name" : "CompleteGaloisGroupPElement","type" : "GAP_Function","location" : {},"aka" : ["CompleteGaloisGroupPElement"]},{"name" : "CompletionBar","type" : "GAP_Function","location" : {},"aka" : ["CompletionBar"]},{"name" : "ComplexificationQuat","type" : "GAP_Function","location" : {},"aka" : ["ComplexificationQuat"]},{"name" : "ComponentStringOfPartialPerm","type" : "GAP_Function","location" : {},"aka" : ["ComponentStringOfPartialPerm"]},{"name" : "ComposedDocument","type" : "GAP_Function","location" : {},"aka" : ["ComposedDocument"]},{"name" : "ComposedXMLString","type" : "GAP_Function","location" : {},"aka" : ["ComposedXMLString"]},{"name" : "CompositionMapping","type" : "GAP_Function","location" : {},"aka" : ["CompositionMapping"]},{"name" : "CompositionMapping2General","type" : "GAP_Function","location" : {}},{"name" : "CompositionMaps","type" : "GAP_Function","location" : {},"aka" : ["CompositionMaps"]},{"name" : "CompositionOfStraightLinePrograms","type" : "GAP_Function","location" : {},"aka" : ["CompositionOfStraightLinePrograms"]},{"name" : "ConcatSubos","type" : "GAP_Function","location" : {},"aka" : ["ConcatSubos"]},{"name" : "Concatenation","type" : "GAP_Function","location" : {},"aka" : ["Concatenation"]},{"name" : "ConcatenationOfVectors","type" : "GAP_Function","location" : {},"aka" : ["ConcatenationOfVectors"]},{"name" : "Congruences","type" : "GAP_Function","location" : {},"aka" : ["Congruences"]},{"name" : "ConjugacyClassesByOrbits","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesByOrbits"]},{"name" : "ConjugacyClassesByRandomSearch","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesByRandomSearch"]},{"name" : "ConjugacyClassesFittingFreeGroup","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesFittingFreeGroup"]},{"name" : "ConjugacyClassesForSmallGroup","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesForSmallGroup"]},{"name" : "ConjugacyClassesOfNaturalGroup","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesOfNaturalGroup"]},{"name" : "ConjugacyClassesSubwreath","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesSubwreath"]},{"name" : "ConjugacyClassesTry","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesTry"]},{"name" : "ConjugacyClassesViaRadical","type" : "GAP_Function","location" : {},"aka" : ["ConjugacyClassesViaRadical"]},{"name" : "ConjugateStabChain","type" : "GAP_Function","location" : {},"aka" : ["ConjugateStabChain"]},{"name" : "ConjugatedModule","type" : "GAP_Function","location" : {},"aka" : ["ConjugatedModule"]},{"name" : "ConjugatorAutomorphism","type" : "GAP_Function","location" : {},"aka" : ["ConjugatorAutomorphism"]},{"name" : "ConjugatorPermGroup","type" : "GAP_Function","location" : {},"aka" : ["ConjugatorPermGroup"]},{"name" : "ConnectGroupAndCharacterTable","type" : "GAP_Function","location" : {},"aka" : ["ConnectGroupAndCharacterTable"]},{"name" : "ConsiderKernels","type" : "GAP_Function","location" : {},"aka" : ["ConsiderKernels"]},{"name" : "ConsiderSmallerPowerMaps","type" : "GAP_Function","location" : {},"aka" : ["ConsiderSmallerPowerMaps"]},{"name" : "ConsiderStructureConstants","type" : "GAP_Function","location" : {},"aka" : ["ConsiderStructureConstants"]},{"name" : "ConsiderTableAutomorphisms","type" : "GAP_Function","location" : {},"aka" : ["ConsiderTableAutomorphisms"]},{"name" : "ConstituentsCompositionMapping","type" : "GAP_Function","location" : {},"aka" : ["ConstituentsCompositionMapping"]},{"name" : "ConstituentsPolynomial","type" : "GAP_Function","location" : {},"aka" : ["ConstituentsPolynomial"]},{"name" : "ConstructFormPreservingGroup","type" : "GAP_Function","location" : {},"aka" : ["ConstructFormPreservingGroup"]},{"name" : "ContainedCharacters","type" : "GAP_Function","location" : {},"aka" : ["ContainedCharacters"]},{"name" : "ContainedDecomposables","type" : "GAP_Function","location" : {},"aka" : ["ContainedDecomposables"]},{"name" : "ContainedMaps","type" : "GAP_Function","location" : {},"aka" : ["ContainedMaps"]},{"name" : "ContainedPossibleCharacters","type" : "GAP_Function","location" : {},"aka" : ["ContainedPossibleCharacters"]},{"name" : "ContainedPossibleVirtualCharacters","type" : "GAP_Function","location" : {},"aka" : ["ContainedPossibleVirtualCharacters"]},{"name" : "ContainedSpecialVectors","type" : "GAP_Function","location" : {},"aka" : ["ContainedSpecialVectors"]},{"name" : "ContentBuildRecBibXMLEntry","type" : "GAP_Function","location" : {},"aka" : ["ContentBuildRecBibXMLEntry"]},{"name" : "ContinuedFractionApproximationOfRoot","type" : "GAP_Function","location" : {},"aka" : ["ContinuedFractionApproximationOfRoot"]},{"name" : "ContinuedFractionExpansionOfRoot","type" : "GAP_Function","location" : {},"aka" : ["ContinuedFractionExpansionOfRoot"]},{"name" : "ConvertToCharacterTable","type" : "GAP_Function","location" : {},"aka" : ["ConvertToCharacterTable"]},{"name" : "ConvertToCharacterTableNC","type" : "GAP_Function","location" : {},"aka" : ["ConvertToCharacterTableNC"]},{"name" : "ConvertToLibraryCharacterTableNC","type" : "GAP_Function","location" : {},"aka" : ["ConvertToLibraryCharacterTableNC"]},{"name" : "ConvertToMatrixRep","type" : "GAP_Function","location" : {},"aka" : ["ConvertToMatrixRep"]},{"name" : "ConvertToMatrixRepNC","type" : "GAP_Function","location" : {},"aka" : ["ConvertToMatrixRepNC"]},{"name" : "ConvertToTableOfMarks","type" : "GAP_Function","location" : {},"aka" : ["ConvertToTableOfMarks"]},{"name" : "ConvertToVectorRepNC","type" : "GAP_Function","location" : {},"aka" : ["ConvertToVectorRep","ConvertToVectorRepNC"]},{"name" : "ConwayPol","type" : "GAP_Function","location" : {},"aka" : ["ConwayPol"]},{"name" : "ConwayPolynomial","type" : "GAP_Function","location" : {},"aka" : ["ConwayPolynomial"]},{"name" : "CopiedAugmentedCosetTable","type" : "GAP_Function","location" : {},"aka" : ["CopiedAugmentedCosetTable"]},{"name" : "CopyHTMLStyleFiles","type" : "GAP_Function","location" : {},"aka" : ["CopyHTMLStyleFiles"]},{"name" : "CopyMappingAttributes","type" : "GAP_Function","location" : {},"aka" : ["CopyMappingAttributes"]},{"name" : "CopyMemory","type" : "GAP_Function","location" : {},"aka" : ["CopyMemory"]},{"name" : "CopyOptionsDefaults","type" : "GAP_Function","location" : {},"aka" : ["CopyOptionsDefaults"]},{"name" : "CopyStabChain","type" : "GAP_Function","location" : {},"aka" : ["CopyStabChain"]},{"name" : "CorestEval","type" : "GAP_Function","location" : {},"aka" : ["CorestEval"]},{"name" : "CorrectConjugacyClass","type" : "GAP_Function","location" : {},"aka" : ["CorrectConjugacyClass"]},{"name" : "CorrespondingGeneratorsByModuloPcgs","type" : "GAP_Function","location" : {},"aka" : ["CorrespondingGeneratorsByModuloPcgs"]},{"name" : "CosetDecomposition","type" : "GAP_Function","location" : {},"aka" : ["CosetDecomposition"]},{"name" : "CosetNumber","type" : "GAP_Function","location" : {},"aka" : ["CosetNumber"]},{"name" : "CosetRepAsWord","type" : "GAP_Function","location" : {},"aka" : ["CosetRepAsWord"]},{"name" : "CosetTableFromGensAndRels","type" : "GAP_Function","location" : {},"aka" : ["CosetTableFromGensAndRels"]},{"name" : "CoveringTriplesCharacters","type" : "GAP_Function","location" : {},"aka" : ["CoveringTriplesCharacters"]},{"name" : "CrcText","type" : "GAP_Function","location" : {},"aka" : ["CrcText"]},{"name" : "CreateIsomorphicPcGroup","type" : "GAP_Function","location" : {},"aka" : ["CreateIsomorphicPcGroup"]},{"name" : "CreateKnuthBendixRewritingSystem","type" : "GAP_Function","location" : {},"aka" : ["CreateKnuthBendixRewritingSystem"]},{"name" : "CurrentLocation","type" : "GAP_Function","location" : {},"aka" : ["CurrentLocation"]},{"name" : "Cycle","type" : "GAP_Function","location" : {},"aka" : ["Cycle"]},{"name" : "CycleIndex","type" : "GAP_Function","location" : {},"aka" : ["CycleIndex"]},{"name" : "CycleLength","type" : "GAP_Function","location" : {},"aka" : ["CycleLength"]},{"name" : "CycleLengths","type" : "GAP_Function","location" : {},"aka" : ["CycleLengths"]},{"name" : "CycleStructuresGroup","type" : "GAP_Function","location" : {},"aka" : ["CycleStructuresGroup"]},{"name" : "Cycles","type" : "GAP_Function","location" : {},"aka" : ["Cycles"]},{"name" : "CyclotomicField","type" : "GAP_Function","location" : {},"aka" : ["CF","CyclotomicField"]},{"name" : "CyclotomicPol","type" : "GAP_Function","location" : {},"aka" : ["CyclotomicPol"]},{"name" : "CyclotomicPolynomial","type" : "GAP_Function","location" : {},"aka" : ["CyclotomicPolynomial"]},{"name" : "DMYDay","type" : "GAP_Function","location" : {},"aka" : ["DMYDay"]},{"name" : "DMYhmsSeconds","type" : "GAP_Function","location" : {},"aka" : ["DMYhmsSeconds"]},{"name" : "DayDMY","type" : "GAP_Function","location" : {},"aka" : ["DayDMY"]},{"name" : "DaysInMonth","type" : "GAP_Function","location" : {},"aka" : ["DaysInMonth"]},{"name" : "DaysInYear","type" : "GAP_Function","location" : {},"aka" : ["DaysInYear"]},{"name" : "DeclareAutoreadableVariables","type" : "GAP_Function","location" : {},"aka" : ["DeclareAutoreadableVariables"]},{"name" : "DeclareHandlingByNiceBasis","type" : "GAP_Function","location" : {},"aka" : ["DeclareHandlingByNiceBasis"]},{"name" : "DeclareInfoClass","type" : "GAP_Function","location" : {},"aka" : ["DeclareInfoClass"]},{"name" : "DeclareObject","type" : "GAP_Function","location" : {},"aka" : ["DeclareObject"]},{"name" : "DecodeTree","type" : "GAP_Function","location" : {},"aka" : ["DecodeTree"]},{"name" : "DecodedTreeEntry","type" : "GAP_Function","location" : {},"aka" : ["DecodedTreeEntry"]},{"name" : "DecompositionInt","type" : "GAP_Function","location" : {},"aka" : ["DecompositionInt"]},{"name" : "Decreased","type" : "GAP_Function","location" : {},"aka" : ["Decreased"]},{"name" : "DefaultField","type" : "GAP_Function","location" : {},"aka" : ["DefaultField"]},{"name" : "DefaultInfoHandler","type" : "GAP_Function","location" : {},"aka" : ["DefaultInfoHandler"]},{"name" : "DefaultPackageBannerString","type" : "GAP_Function","location" : {},"aka" : ["DefaultPackageBannerString"]},{"name" : "DefaultRing","type" : "GAP_Function","location" : {},"aka" : ["DefaultRing"]},{"name" : "DefiningQuotientHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["DefiningQuotientHomomorphism"]},{"name" : "DegreeNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["DegreeNaturalHomomorphismsPool"]},{"name" : "DenominatorCyc","type" : "GAP_Function","location" : {},"aka" : ["DenominatorCyc"]},{"name" : "DenseHashTable","type" : "GAP_Function","location" : {},"aka" : ["DenseHashTable"]},{"name" : "DepthSchreierTrees","type" : "GAP_Function","location" : {},"aka" : ["DepthSchreierTrees"]},{"name" : "Derangements","type" : "GAP_Function","location" : {},"aka" : ["Derangements"]},{"name" : "DerivedSubgroupsTom","type" : "GAP_Function","location" : {},"aka" : ["DerivedSubgroupsTom"]},{"name" : "DescriptionOfNormalizedUEAElement","type" : "GAP_Function","location" : {},"aka" : ["DescriptionOfNormalizedUEAElement"]},{"name" : "DescriptionOfRootOfUnity","type" : "GAP_Function","location" : {},"aka" : ["DescriptionOfRootOfUnity"]},{"name" : "DeterminantIntMat","type" : "GAP_Function","location" : {},"aka" : ["DeterminantIntMat"]},{"name" : "DiagonalMat","type" : "GAP_Function","location" : {},"aka" : ["DiagonalMat"]},{"name" : "DiagonalOfMat","type" : "GAP_Function","location" : {},"aka" : ["DiagonalOfMat"]},{"name" : "DiagonalSocleAction","type" : "GAP_Function","location" : {},"aka" : ["DiagonalSocleAction"]},{"name" : "DiagonalizeIntMat","type" : "GAP_Function","location" : {},"aka" : ["DiagonalizeIntMat"]},{"name" : "DiagonalizeIntMatNormDriven","type" : "GAP_Function","location" : {},"aka" : ["DiagonalizeIntMatNormDriven"]},{"name" : "DictionaryByPosition","type" : "GAP_Function","location" : {},"aka" : ["DictionaryByPosition"]},{"name" : "DifferenceBlist","type" : "GAP_Function","location" : {},"aka" : ["DifferenceBlist"]},{"name" : "DifferenceTimes","type" : "GAP_Function","location" : {},"aka" : ["DifferenceTimes"]},{"name" : "DigitsNumber","type" : "GAP_Function","location" : {},"aka" : ["DigitsNumber"]},{"name" : "DirectFactorsOfGroupFromList","type" : "GAP_Function","location" : {},"aka" : ["DirectFactorsOfGroupFromList"]},{"name" : "DirectFactorsOfGroupKN","type" : "GAP_Function","location" : {},"aka" : ["DirectFactorsOfGroupKN"]},{"name" : "DirectProduct","type" : "GAP_Function","location" : {},"aka" : ["DirectProduct"]},{"name" : "DirectSum","type" : "GAP_Function","location" : {},"aka" : ["DirectSum"]},{"name" : "DirectSumMat","type" : "GAP_Function","location" : {},"aka" : ["DirectSumMat"]},{"name" : "DirectoriesPackageLibrary","type" : "GAP_Function","location" : {},"aka" : ["DirectoriesPackageLibrary"]},{"name" : "DirectoriesPackagePrograms","type" : "GAP_Function","location" : {},"aka" : ["DirectoriesPackagePrograms"]},{"name" : "DirectoryContents","type" : "GAP_Function","location" : {},"aka" : ["DirectoryContents"]},{"name" : "DirectoryDesktop","type" : "GAP_Function","location" : {},"aka" : ["DirectoryDesktop"]},{"name" : "DirectoryHome","type" : "GAP_Function","location" : {},"aka" : ["DirectoryHome"]},{"name" : "DisableAttributeValueStoring","type" : "GAP_Function","location" : {},"aka" : ["DisableAttributeValueStoring"]},{"name" : "DisplayCompositionSeries","type" : "GAP_Function","location" : {},"aka" : ["DisplayCompositionSeries"]},{"name" : "DisplayEggBoxOfDClass","type" : "GAP_Function","location" : {},"aka" : ["DisplayEggBoxOfDClass"]},{"name" : "DisplayImfInvariants","type" : "GAP_Function","location" : {},"aka" : ["DisplayImfInvariants"]},{"name" : "DisplayImfReps","type" : "GAP_Function","location" : {},"aka" : ["DisplayImfReps"]},{"name" : "DisplayInformationPerfectGroups","type" : "GAP_Function","location" : {},"aka" : ["DisplayInformationPerfectGroups"]},{"name" : "DisplayOptionsStack","type" : "GAP_Function","location" : {},"aka" : ["DisplayOptionsStack"]},{"name" : "DisplayPackageLoadingLog","type" : "GAP_Function","location" : {},"aka" : ["DisplayPackageLoadingLog"]},{"name" : "DisplayXMLStructure","type" : "GAP_Function","location" : {},"aka" : ["DisplayXMLStructure"]},{"name" : "DivisorsInt","type" : "GAP_Function","location" : {},"aka" : ["DivisorsInt"]},{"name" : "DixonInit","type" : "GAP_Function","location" : {},"aka" : ["DixonInit"]},{"name" : "DixonSplit","type" : "GAP_Function","location" : {},"aka" : ["DixonSplit"]},{"name" : "DixontinI","type" : "GAP_Function","location" : {},"aka" : ["DixontinI"]},{"name" : "DnLattice","type" : "GAP_Function","location" : {},"aka" : ["DnLattice"]},{"name" : "DnLatticeIterative","type" : "GAP_Function","location" : {},"aka" : ["DnLatticeIterative"]},{"name" : "DoExponentsConjLayerFampcgs","type" : "GAP_Function","location" : {},"aka" : ["DoExponentsConjLayerFampcgs"]},{"name" : "DoLogModRho","type" : "GAP_Function","location" : {},"aka" : ["DoLogModRho"]},{"name" : "DoMaxesTF","type" : "GAP_Function","location" : {}},{"name" : "DoSparseActionHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["DoSparseActionHomomorphism"]},{"name" : "Domain","type" : "GAP_Function","location" : {},"aka" : ["Domain"]},{"name" : "DotFileLatticeSubgroups","type" : "GAP_Function","location" : {},"aka" : ["DotFileLatticeSubgroups"]},{"name" : "DoubleCosets","type" : "GAP_Function","location" : {},"aka" : ["DoubleCosets"]},{"name" : "DoubleHashDictSize","type" : "GAP_Function","location" : {},"aka" : ["DoubleHashArraySize","DoubleHashDictSize"]},{"name" : "DualGModule","type" : "GAP_Function","location" : {},"aka" : ["DualGModule"]},{"name" : "DxDegreeCandidates","type" : "GAP_Function","location" : {},"aka" : ["DxDegreeCandidates"]},{"name" : "DxIncludeIrreducibles","type" : "GAP_Function","location" : {},"aka" : ["DxIncludeIrreducibles"]},{"name" : "DxModularValuePol","type" : "GAP_Function","location" : {},"aka" : ["DxModularValuePol"]},{"name" : "DxSplitDegree","type" : "GAP_Function","location" : {},"aka" : ["DxSplitDegree"]},{"name" : "EAPrimeLayerSQ","type" : "GAP_Function","location" : {},"aka" : ["EAPrimeLayerSQ"]},{"name" : "EB","type" : "GAP_Function","location" : {},"aka" : ["EB"]},{"name" : "EC","type" : "GAP_Function","location" : {},"aka" : ["EC"]},{"name" : "ED","type" : "GAP_Function","location" : {},"aka" : ["ED"]},{"name" : "EE","type" : "GAP_Function","location" : {},"aka" : ["EE"]},{"name" : "EF","type" : "GAP_Function","location" : {},"aka" : ["EF"]},{"name" : "EG","type" : "GAP_Function","location" : {},"aka" : ["EG"]},{"name" : "EH","type" : "GAP_Function","location" : {},"aka" : ["EH"]},{"name" : "EI","type" : "GAP_Function","location" : {},"aka" : ["EI"]},{"name" : "EJ","type" : "GAP_Function","location" : {},"aka" : ["EJ"]},{"name" : "EK","type" : "GAP_Function","location" : {},"aka" : ["EK"]},{"name" : "EL","type" : "GAP_Function","location" : {},"aka" : ["EL"]},{"name" : "EM","type" : "GAP_Function","location" : {},"aka" : ["EM"]},{"name" : "ER","type" : "GAP_Function","location" : {}},{"name" : "ERepAssWorInv","type" : "GAP_Function","location" : {},"aka" : ["ERepAssWorInv"]},{"name" : "ERepAssWorProd","type" : "GAP_Function","location" : {},"aka" : ["ERepAssWorProd"]},{"name" : "ES","type" : "GAP_Function","location" : {},"aka" : ["ES"]},{"name" : "ET","type" : "GAP_Function","location" : {},"aka" : ["ET"]},{"name" : "EU","type" : "GAP_Function","location" : {},"aka" : ["EU"]},{"name" : "EV","type" : "GAP_Function","location" : {},"aka" : ["EV"]},{"name" : "EW","type" : "GAP_Function","location" : {},"aka" : ["EW"]},{"name" : "EX","type" : "GAP_Function","location" : {},"aka" : ["EX"]},{"name" : "EXPermutationActionPairs","type" : "GAP_Function","location" : {},"aka" : ["EXPermutationActionPairs"]},{"name" : "EXReducePermutationActionPairs","type" : "GAP_Function","location" : {},"aka" : ["EXReducePermutationActionPairs"]},{"name" : "EY","type" : "GAP_Function","location" : {},"aka" : ["EY"]},{"name" : "Edit","type" : "GAP_Function","location" : {},"aka" : ["Edit"]},{"name" : "ElementOrdersPowerMap","type" : "GAP_Function","location" : {},"aka" : ["ElementOrdersPowerMap"]},{"name" : "ElementProperty","type" : "GAP_Function","location" : {},"aka" : ["ElementProperty"]},{"name" : "ElementaryDivisorsMatDestructive","type" : "GAP_Function","location" : {},"aka" : ["ElementaryDivisorsMatDestructive"]},{"name" : "ElementaryDivisorsTransformationsMatDestructive","type" : "GAP_Function","location" : {},"aka" : ["ElementaryDivisorsTransformationsMatDestructive"]},{"name" : "Elements","type" : "GAP_Function","location" : {},"aka" : ["Elements"]},{"name" : "ElementsStabChain","type" : "GAP_Function","location" : {},"aka" : ["ElementsStabChain"]},{"name" : "EliminationOrdering","type" : "GAP_Function","location" : {},"aka" : ["EliminationOrdering"]},{"name" : "EmbedAutomorphisms","type" : "GAP_Function","location" : {},"aka" : ["EmbedAutomorphisms"]},{"name" : "EmbedFullAutomorphismWreath","type" : "GAP_Function","location" : {},"aka" : ["EmbedFullAutomorphismWreath"]},{"name" : "EmbeddingWreathInWreath","type" : "GAP_Function","location" : {},"aka" : ["EmbeddingWreathInWreath"]},{"name" : "EmptyBinaryRelation","type" : "GAP_Function","location" : {},"aka" : ["EmptyBinaryRelation"]},{"name" : "EmptyMatrix","type" : "GAP_Function","location" : {},"aka" : ["EmptyMatrix"]},{"name" : "EmptyRBase","type" : "GAP_Function","location" : {},"aka" : ["EmptyRBase"]},{"name" : "EmptySCTable","type" : "GAP_Function","location" : {},"aka" : ["EmptySCTable"]},{"name" : "EmptyStabChain","type" : "GAP_Function","location" : {},"aka" : ["EmptyStabChain"]},{"name" : "EnableAttributeValueStoring","type" : "GAP_Function","location" : {},"aka" : ["EnableAttributeValueStoring"]},{"name" : "EndsWith","type" : "GAP_Function","location" : {},"aka" : ["EndsWith"]},{"name" : "EnumeratorByFunctions","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorByFunctions"]},{"name" : "EnumeratorOfCartesianProduct","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorOfCartesianProduct"]},{"name" : "EnumeratorOfCombinations","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorOfCombinations"]},{"name" : "EnumeratorOfSemigroupIdeal","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorOfSemigroupIdeal"]},{"name" : "EnumeratorOfSubset","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorOfSubset"]},{"name" : "EnumeratorOfTuples","type" : "GAP_Function","location" : {},"aka" : ["EnumeratorOfTuples"]},{"name" : "EnumeratorOfZmodnZ","type" : "GAP_Function","location" : {}},{"name" : "EpimorphismFromClassical","type" : "GAP_Function","location" : {},"aka" : ["EpimorphismFromClassical"]},{"name" : "EpimorphismNilpotentQuotient","type" : "GAP_Function","location" : {},"aka" : ["EpimorphismNilpotentQuotient"]},{"name" : "EpimorphismSolvableQuotient","type" : "GAP_Function","location" : {},"aka" : ["EpimorphismSolubleQuotient","EpimorphismSolvableQuotient"]},{"name" : "EquivalenceRelationByPairs","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByPairs"]},{"name" : "EquivalenceRelationByPairsNC","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByPairsNC"]},{"name" : "EquivalenceRelationByPartition","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByPartition"]},{"name" : "EquivalenceRelationByPartitionNC","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByPartitionNC"]},{"name" : "EquivalenceRelationByProperty","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByProperty"]},{"name" : "EquivalenceRelationByRelation","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceRelationByRelation"]},{"name" : "EquivalenceType","type" : "GAP_Function","location" : {},"aka" : ["EquivalenceType"]},{"name" : "EraseNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["EraseNaturalHomomorphismsPool"]},{"name" : "EvalStraightLineProgElm","type" : "GAP_Function","location" : {},"aka" : ["EvalStraightLineProgElm"]},{"name" : "EvalString","type" : "GAP_Function","location" : {},"aka" : ["EvalString"]},{"name" : "ExactSizeConsiderFunction","type" : "GAP_Function","location" : {},"aka" : ["ExactSizeConsiderFunction"]},{"name" : "ExcludedOrders","type" : "GAP_Function","location" : {},"aka" : ["ExcludedOrders"]},{"name" : "Exec","type" : "GAP_Function","location" : {},"aka" : ["Exec"]},{"name" : "ExponentsOfPcElementPermGroup","type" : "GAP_Function","location" : {},"aka" : ["ExponentsOfPcElementPermGroup"]},{"name" : "ExtendRepresentation","type" : "GAP_Function","location" : {},"aka" : ["ExtendRepresentation"]},{"name" : "ExtendRootDirectories","type" : "GAP_Function","location" : {},"aka" : ["ExtendRootDirectories"]},{"name" : "ExtendSeriesPermGroup","type" : "GAP_Function","location" : {},"aka" : ["ExtendSeriesPermGroup"]},{"name" : "ExtendStabChain","type" : "GAP_Function","location" : {},"aka" : ["ExtendStabChain"]},{"name" : "ExtendSubgroupsOfNormal","type" : "GAP_Function","location" : {},"aka" : ["ExtendSubgroupsOfNormal"]},{"name" : "ExtendedT","type" : "GAP_Function","location" : {},"aka" : ["ExtendedT"]},{"name" : "ExtensionOnBlocks","type" : "GAP_Function","location" : {},"aka" : ["ExtensionOnBlocks"]},{"name" : "ExtensionSQ","type" : "GAP_Function","location" : {},"aka" : ["ExtensionSQ"]},{"name" : "ExtensionsOfModule","type" : "GAP_Function","location" : {},"aka" : ["ExtensionsOfModule"]},{"name" : "ExternalSetByFilterConstructor","type" : "GAP_Function","location" : {},"aka" : ["ExternalSetByFilterConstructor"]},{"name" : "ExternalSetByTypeConstructor","type" : "GAP_Function","location" : {},"aka" : ["ExternalSetByTypeConstructor"]},{"name" : "Extract","type" : "GAP_Function","location" : {},"aka" : ["Extract"]},{"name" : "ExtractExamples","type" : "GAP_Function","location" : {},"aka" : ["ExtractExamples"]},{"name" : "ExtractExamplesXMLTree","type" : "GAP_Function","location" : {},"aka" : ["ExtractExamplesXMLTree"]},{"name" : "FFEFamily","type" : "GAP_Function","location" : {},"aka" : ["FFEFamily"]},{"name" : "FFPFactors","type" : "GAP_Function","location" : {},"aka" : ["FFPFactors"]},{"name" : "FFPOrderKnownDividend","type" : "GAP_Function","location" : {},"aka" : ["FFPOrderKnownDividend"]},{"name" : "FILLED_LINE","type" : "GAP_Function","location" : {},"aka" : ["FILLED_LINE"]},{"name" : "FLMLOR","type" : "GAP_Function","location" : {},"aka" : ["Algebra","FLMLOR"]},{"name" : "FLMLORWithOne","type" : "GAP_Function","location" : {},"aka" : ["AlgebraWithOne","FLMLORWithOne"]},{"name" : "FactorFreeAlgebraByRelators","type" : "GAP_Function","location" : {},"aka" : ["FactorFreeAlgebraByRelators"]},{"name" : "FactorFreeMonoidByRelations","type" : "GAP_Function","location" : {},"aka" : ["FactorFreeMonoidByRelations"]},{"name" : "FactorFreeSemigroupByRelations","type" : "GAP_Function","location" : {},"aka" : ["FactorFreeSemigroupByRelations"]},{"name" : "FactorGroup","type" : "GAP_Function","location" : {}},{"name" : "FactorGroupFpGroupByRels","type" : "GAP_Function","location" : {},"aka" : ["FactorGroupFpGroupByRels"]},{"name" : "FactorGroupNormalSubgroupClasses","type" : "GAP_Function","location" : {},"aka" : ["FactorGroupNormalSubgroupClasses"]},{"name" : "Factorial","type" : "GAP_Function","location" : {},"aka" : ["Factorial"]},{"name" : "FactorsCommonDegreePol","type" : "GAP_Function","location" : {},"aka" : ["FactorsCommonDegreePol"]},{"name" : "FactorsInt","type" : "GAP_Function","location" : {},"aka" : ["FactorsInt"]},{"name" : "FamiliesOfRows","type" : "GAP_Function","location" : {},"aka" : ["FamiliesOfRows"]},{"name" : "Fibonacci","type" : "GAP_Function","location" : {},"aka" : ["Fibonacci"]},{"name" : "FibonacciGroup","type" : "GAP_Function","location" : {},"aka" : ["FibonacciGroup"]},{"name" : "Field","type" : "GAP_Function","location" : {},"aka" : ["Field"]},{"name" : "FileString","type" : "GAP_Function","location" : {},"aka" : ["FileString"]},{"name" : "FilterByName","type" : "GAP_Function","location" : {},"aka" : ["FilterByName"]},{"name" : "Filtered","type" : "GAP_Function","location" : {},"aka" : ["Filtered"]},{"name" : "FindNormalCSPG","type" : "GAP_Function","location" : {},"aka" : ["FindNormalCSPG"]},{"name" : "FindRegularNormalCSPG","type" : "GAP_Function","location" : {},"aka" : ["FindRegularNormalCSPG"]},{"name" : "FindSl2","type" : "GAP_Function","location" : {},"aka" : ["FindSl2"]},{"name" : "FindWindowId","type" : "GAP_Function","location" : {},"aka" : ["FindWindowId"]},{"name" : "First","type" : "GAP_Function","location" : {},"aka" : ["First"]},{"name" : "FittingFreeElementarySeries","type" : "GAP_Function","location" : {},"aka" : ["FittingFreeElementarySeries"]},{"name" : "FittingFreeSubgroupSetup","type" : "GAP_Function","location" : {},"aka" : ["FittingFreeSubgroupSetup"]},{"name" : "FixChunkedBody","type" : "GAP_Function","location" : {},"aka" : ["FixChunkedBody"]},{"name" : "FixcellPoint","type" : "GAP_Function","location" : {},"aka" : ["FixcellPoint"]},{"name" : "Fixcells","type" : "GAP_Function","location" : {},"aka" : ["Fixcells"]},{"name" : "FixcellsCell","type" : "GAP_Function","location" : {},"aka" : ["FixcellsCell"]},{"name" : "FixpointCellNo","type" : "GAP_Function","location" : {},"aka" : ["FixpointCellNo"]},{"name" : "FlatBlockMat","type" : "GAP_Function","location" : {},"aka" : ["FlatBlockMat"]},{"name" : "Float","type" : "GAP_Function","location" : {},"aka" : ["Float"]},{"name" : "ForAll","type" : "GAP_Function","location" : {},"aka" : ["ForAll"]},{"name" : "ForAny","type" : "GAP_Function","location" : {},"aka" : ["ForAny"]},{"name" : "FormatParagraph","type" : "GAP_Function","location" : {},"aka" : ["FormatParagraph"]},{"name" : "FpAlgebraByGeneralizedCartanMatrix","type" : "GAP_Function","location" : {},"aka" : ["FpAlgebraByGeneralizedCartanMatrix"]},{"name" : "FpGroupPcGroupSQ","type" : "GAP_Function","location" : {},"aka" : ["FpGroupPcGroupSQ"]},{"name" : "FpGroupPresentation","type" : "GAP_Function","location" : {},"aka" : ["FpGroupPresentation"]},{"name" : "FpLieAlgebraByCartanMatrix","type" : "GAP_Function","location" : {},"aka" : ["FpLieAlgebraByCartanMatrix"]},{"name" : "FpLieAlgebraEnumeration","type" : "GAP_Function","location" : {},"aka" : ["FpLieAlgebraEnumeration"]},{"name" : "FpOfModules","type" : "GAP_Function","location" : {},"aka" : ["FpOfModules"]},{"name" : "FreeAlgebra","type" : "GAP_Function","location" : {},"aka" : ["FreeAlgebra"]},{"name" : "FreeAlgebraWithOne","type" : "GAP_Function","location" : {},"aka" : ["FreeAlgebraWithOne"]},{"name" : "FreeAssociativeAlgebra","type" : "GAP_Function","location" : {},"aka" : ["FreeAssociativeAlgebra"]},{"name" : "FreeAssociativeAlgebraWithOne","type" : "GAP_Function","location" : {},"aka" : ["FreeAssociativeAlgebraWithOne"]},{"name" : "FreeGroup","type" : "GAP_Function","location" : {},"aka" : ["FreeGroup"]},{"name" : "FreeLeftModule","type" : "GAP_Function","location" : {},"aka" : ["FreeLeftModule"]},{"name" : "FreeLieAlgebra","type" : "GAP_Function","location" : {},"aka" : ["FreeLieAlgebra"]},{"name" : "FreeMagma","type" : "GAP_Function","location" : {},"aka" : ["FreeMagma"]},{"name" : "FreeMagmaRing","type" : "GAP_Function","location" : {},"aka" : ["FreeMagmaRing"]},{"name" : "FreeMagmaWithOne","type" : "GAP_Function","location" : {},"aka" : ["FreeMagmaWithOne"]},{"name" : "FreeMonoid","type" : "GAP_Function","location" : {},"aka" : ["FreeMonoid"]},{"name" : "FreeProduct","type" : "GAP_Function","location" : {},"aka" : ["FreeProduct"]},{"name" : "FreeSemigroup","type" : "GAP_Function","location" : {},"aka" : ["FreeSemigroup"]},{"name" : "FrobeniusCharacterValue","type" : "GAP_Function","location" : {},"aka" : ["FrobeniusCharacterValue"]},{"name" : "FullMatrixAlgebraCentralizer","type" : "GAP_Function","location" : {},"aka" : ["FullMatrixAlgebraCentraliser","FullMatrixAlgebraCentralizer"]},{"name" : "FullMatrixFLMLOR","type" : "GAP_Function","location" : {},"aka" : ["FullMatrixAlgebra","FullMatrixFLMLOR","MatAlgebra","MatrixAlgebra"]},{"name" : "FullMatrixLieFLMLOR","type" : "GAP_Function","location" : {},"aka" : ["FullMatrixLieAlgebra","FullMatrixLieFLMLOR","MatLieAlgebra","MatrixLieAlgebra"]},{"name" : "FullMatrixModule","type" : "GAP_Function","location" : {},"aka" : ["FullMatrixModule","FullMatrixSpace","MatSpace","MatrixSpace"]},{"name" : "FullRowModule","type" : "GAP_Function","location" : {}},{"name" : "FullTransformationSemigroup","type" : "GAP_Function","location" : {},"aka" : ["FullTransformationMonoid","FullTransformationSemigroup"]},{"name" : "FusionRationalClassesPSubgroup","type" : "GAP_Function","location" : {},"aka" : ["FusionRationalClassesPSubgroup"]},{"name" : "FusionsAllowedByRestrictions","type" : "GAP_Function","location" : {},"aka" : ["FusionsAllowedByRestrictions"]},{"name" : "GAPDoc2HTML","type" : "GAP_Function","location" : {},"aka" : ["GAPDoc2HTML"]},{"name" : "GAPDoc2HTMLPrintHTMLFiles","type" : "GAP_Function","location" : {},"aka" : ["GAPDoc2HTMLPrintHTMLFiles"]},{"name" : "GAPDoc2LaTeX","type" : "GAP_Function","location" : {},"aka" : ["GAPDoc2LaTeX"]},{"name" : "GAPDoc2Text","type" : "GAP_Function","location" : {},"aka" : ["GAPDoc2Text"]},{"name" : "GAPDoc2TextPrintTextFiles","type" : "GAP_Function","location" : {},"aka" : ["GAPDoc2TextPrintTextFiles"]},{"name" : "GAPDocManualLab","type" : "GAP_Function","location" : {},"aka" : ["GAPDocManualLab"]},{"name" : "GAPDocManualLabFromSixFile","type" : "GAP_Function","location" : {},"aka" : ["GAPDocManualLabFromSixFile"]},{"name" : "GModuleByMats","type" : "GAP_Function","location" : {},"aka" : ["GModuleByMats"]},{"name" : "GaloisConjugates","type" : "GAP_Function","location" : {},"aka" : ["GaloisConjugates"]},{"name" : "GaloisDiffResolvent","type" : "GAP_Function","location" : {},"aka" : ["GaloisDiffResolvent"]},{"name" : "GaloisField","type" : "GAP_Function","location" : {},"aka" : ["FiniteField","GF","GaloisField"]},{"name" : "GaloisSetResolvent","type" : "GAP_Function","location" : {},"aka" : ["GaloisSetResolvent"]},{"name" : "Gap3CatalogueGroup","type" : "GAP_Function","location" : {},"aka" : ["Gap3CatalogueGroup"]},{"name" : "GapInputPcGroup","type" : "GAP_Function","location" : {},"aka" : ["GapInputPcGroup"]},{"name" : "GapInputSCTable","type" : "GAP_Function","location" : {},"aka" : ["GapInputSCTable"]},{"name" : "GapLibToc2Gap","type" : "GAP_Function","location" : {},"aka" : ["GapLibToc2Gap"]},{"name" : "GapToJsonStream","type" : "GAP_Function","location" : {},"aka" : ["GapToJsonStream"]},{"name" : "GapToJsonString","type" : "GAP_Function","location" : {},"aka" : ["GapToJsonString"]},{"name" : "GasmanLimits","type" : "GAP_Function","location" : {},"aka" : ["GasmanLimits"]},{"name" : "GasmanMessageStatus","type" : "GAP_Function","location" : {},"aka" : ["GasmanMessageStatus"]},{"name" : "GasmanStatistics","type" : "GAP_Function","location" : {},"aka" : ["GasmanStatistics"]},{"name" : "GaussianCoefficient","type" : "GAP_Function","location" : {},"aka" : ["GaussianCoefficient"]},{"name" : "Gcd","type" : "GAP_Function","location" : {},"aka" : ["Gcd"]},{"name" : "GcdCoeffs","type" : "GAP_Function","location" : {},"aka" : ["GcdCoeffs"]},{"name" : "GcdRepresentation","type" : "GAP_Function","location" : {},"aka" : ["GcdRepresentation"]},{"name" : "Gcdex","type" : "GAP_Function","location" : {},"aka" : ["Gcdex"]},{"name" : "GeneralMappingByElements","type" : "GAP_Function","location" : {},"aka" : ["GeneralMappingByElements"]},{"name" : "GeneralMappingsFamily","type" : "GAP_Function","location" : {},"aka" : ["GeneralMappingsFamily"]},{"name" : "GeneralRestrictedMapping","type" : "GAP_Function","location" : {},"aka" : ["GeneralRestrictedMapping"]},{"name" : "GeneralStepClEANS","type" : "GAP_Function","location" : {},"aka" : ["GeneralStepClEANS"]},{"name" : "GeneratorTranslationAugmentedCosetTable","type" : "GAP_Function","location" : {},"aka" : ["GeneratorTranslationAugmentedCosetTable"]},{"name" : "GeneratorsCentrePGroup","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsCenterPGroup","GeneratorsCentrePGroup"]},{"name" : "GeneratorsOfPresentation","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsOfPresentation"]},{"name" : "GeneratorsOfReesMatrixSemigroupNC","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsOfReesMatrixSemigroupNC"]},{"name" : "GeneratorsOfReesZeroMatrixSemigroupNC","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsOfReesZeroMatrixSemigroupNC"]},{"name" : "GeneratorsPrimeResidues","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsPrimeResidues"]},{"name" : "GeneratorsSmallestStab","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsSmallestStab"]},{"name" : "GeneratorsWithMemory","type" : "GAP_Function","location" : {},"aka" : ["GeneratorsWithMemory"]},{"name" : "GetETag","type" : "GAP_Function","location" : {},"aka" : ["GetETag"]},{"name" : "GetElement","type" : "GAP_Function","location" : {},"aka" : ["GetElement"]},{"name" : "GetEnt","type" : "GAP_Function","location" : {},"aka" : ["GetEnt"]},{"name" : "GetFusionMap","type" : "GAP_Function","location" : {},"aka" : ["GetFusionMap"]},{"name" : "GetNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["GetNaturalHomomorphismsPool"]},{"name" : "GetSTag","type" : "GAP_Function","location" : {},"aka" : ["GetSTag"]},{"name" : "GetTextXMLTree","type" : "GAP_Function","location" : {},"aka" : ["GetTextXMLTree"]},{"name" : "GroebnerBasisNC","type" : "GAP_Function","location" : {},"aka" : ["GroebnerBasisNC"]},{"name" : "Group","type" : "GAP_Function","location" : {},"aka" : ["Group"]},{"name" : "GroupByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["GroupByMultiplicationTable"]},{"name" : "GroupByPrimeResidues","type" : "GAP_Function","location" : {},"aka" : ["GroupByPrimeResidues"]},{"name" : "GroupEnumeratorByClosure","type" : "GAP_Function","location" : {}},{"name" : "GroupHomomorphismByFunction","type" : "GAP_Function","location" : {},"aka" : ["GroupHomomorphismByFunction"]},{"name" : "GroupHomomorphismByImages","type" : "GAP_Function","location" : {},"aka" : ["GroupHomomorphismByImages"]},{"name" : "GroupOnSubgroupsOrbit","type" : "GAP_Function","location" : {},"aka" : ["GroupOnSubgroupsOrbit"]},{"name" : "GroupRing","type" : "GAP_Function","location" : {},"aka" : ["GroupRing"]},{"name" : "GroupStabChain","type" : "GAP_Function","location" : {},"aka" : ["GroupStabChain"]},{"name" : "GroupToAdditiveGroupHomomorphismByFunction","type" : "GAP_Function","location" : {},"aka" : ["GroupToAdditiveGroupHomomorphismByFunction"]},{"name" : "GroupWithMemory","type" : "GAP_Function","location" : {},"aka" : ["GroupWithMemory"]},{"name" : "Group_PseudoRandom","type" : "GAP_Function","location" : {}},{"name" : "HELP","type" : "GAP_Function","location" : {},"aka" : ["HELP"]},{"name" : "HELP_ADD_BOOK","type" : "GAP_Function","location" : {},"aka" : ["HELP_ADD_BOOK"]},{"name" : "HELP_BOOK_INFO","type" : "GAP_Function","location" : {},"aka" : ["HELP_BOOK_INFO"]},{"name" : "HELP_CHAPTER_INFO","type" : "GAP_Function","location" : {},"aka" : ["HELP_CHAPTER_INFO"]},{"name" : "HELP_GET_MATCHES","type" : "GAP_Function","location" : {},"aka" : ["HELP_GET_MATCHES"]},{"name" : "HELP_LAB_FILE","type" : "GAP_Function","location" : {},"aka" : ["HELP_LAB_FILE"]},{"name" : "HELP_PRINT_MATCH","type" : "GAP_Function","location" : {},"aka" : ["HELP_PRINT_MATCH"]},{"name" : "HELP_PRINT_SECTION_MAC_IC_URL","type" : "GAP_Function","location" : {},"aka" : ["HELP_PRINT_SECTION_MAC_IC_URL"]},{"name" : "HELP_PRINT_SECTION_TEXT","type" : "GAP_Function","location" : {},"aka" : ["HELP_PRINT_SECTION_TEXT"]},{"name" : "HELP_PRINT_SECTION_URL","type" : "GAP_Function","location" : {},"aka" : ["HELP_PRINT_SECTION_URL"]},{"name" : "HELP_REMOVE_BOOK","type" : "GAP_Function","location" : {},"aka" : ["HELP_REMOVE_BOOK"]},{"name" : "HELP_SHOW_BOOKS","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_BOOKS"]},{"name" : "HELP_SHOW_CHAPTERS","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_CHAPTERS"]},{"name" : "HELP_SHOW_FROM_LAST_TOPICS","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_FROM_LAST_TOPICS"]},{"name" : "HELP_SHOW_MATCHES","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_MATCHES"]},{"name" : "HELP_SHOW_NEXT","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_NEXT"]},{"name" : "HELP_SHOW_NEXT_CHAPTER","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_NEXT_CHAPTER"]},{"name" : "HELP_SHOW_PREV","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_PREV"]},{"name" : "HELP_SHOW_PREV_CHAPTER","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_PREV_CHAPTER"]},{"name" : "HELP_SHOW_SECTIONS","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_SECTIONS"]},{"name" : "HELP_SHOW_WELCOME","type" : "GAP_Function","location" : {},"aka" : ["HELP_SHOW_WELCOME"]},{"name" : "HMSMSec","type" : "GAP_Function","location" : {},"aka" : ["HMSMSec"]},{"name" : "HTTPRequest","type" : "GAP_Function","location" : {},"aka" : ["HTTPRequest"]},{"name" : "HallViaRadical","type" : "GAP_Function","location" : {},"aka" : ["HallViaRadical"]},{"name" : "HasAbelianFactorGroup","type" : "GAP_Function","location" : {},"aka" : ["HasAbelianFactorGroup"]},{"name" : "HasElementaryAbelianFactorGroup","type" : "GAP_Function","location" : {},"aka" : ["HasElementaryAbelianFactorGroup"]},{"name" : "HasSolvableFactorGroup","type" : "GAP_Function","location" : {},"aka" : ["HasSolvableFactorGroup"]},{"name" : "HenselBound","type" : "GAP_Function","location" : {},"aka" : ["HenselBound"]},{"name" : "HeuGcdIntPolsCoeffs","type" : "GAP_Function","location" : {},"aka" : ["HeuGcdIntPolsCoeffs"]},{"name" : "HeuGcdIntPolsExtRep","type" : "GAP_Function","location" : {},"aka" : ["HeuGcdIntPolsExtRep"]},{"name" : "HexStringBlist","type" : "GAP_Function","location" : {},"aka" : ["HexStringBlist"]},{"name" : "HexStringBlistEncode","type" : "GAP_Function","location" : {},"aka" : ["HexStringBlistEncode"]},{"name" : "HideGlobalVariables","type" : "GAP_Function","location" : {},"aka" : ["HideGlobalVariables"]},{"name" : "HomomorphismQuotientSemigroup","type" : "GAP_Function","location" : {},"aka" : ["HomomorphismQuotientSemigroup"]},{"name" : "ID_AVAILABLE","type" : "GAP_Function","location" : {},"aka" : ["ID_AVAILABLE"]},{"name" : "IMFLoad","type" : "GAP_Function","location" : {},"aka" : ["IMFLoad"]},{"name" : "IMMUTABILITY_LEVEL2","type" : "GAP_Function","location" : {},"aka" : ["IMMUTABILITY_LEVEL2"]},{"name" : "IO_AddToPickled","type" : "GAP_Function","location" : {},"aka" : ["IO_AddToPickled"]},{"name" : "IO_AddToUnpickled","type" : "GAP_Function","location" : {},"aka" : ["IO_AddToUnpickled"]},{"name" : "IO_ClearPickleCache","type" : "GAP_Function","location" : {},"aka" : ["IO_ClearPickleCache"]},{"name" : "IO_Close","type" : "GAP_Function","location" : {},"aka" : ["IO_Close"]},{"name" : "IO_CloseAllFDs","type" : "GAP_Function","location" : {},"aka" : ["IO_CloseAllFDs"]},{"name" : "IO_CompressedFile","type" : "GAP_Function","location" : {},"aka" : ["IO_CompressedFile"]},{"name" : "IO_Environment","type" : "GAP_Function","location" : {},"aka" : ["IO_Environment"]},{"name" : "IO_File","type" : "GAP_Function","location" : {},"aka" : ["IO_File"]},{"name" : "IO_FileFilterString","type" : "GAP_Function","location" : {},"aka" : ["IO_FileFilterString"]},{"name" : "IO_FilteredFile","type" : "GAP_Function","location" : {},"aka" : ["IO_FilteredFile"]},{"name" : "IO_FinalizePickled","type" : "GAP_Function","location" : {},"aka" : ["IO_FinalizePickled"]},{"name" : "IO_FinalizeUnpickled","type" : "GAP_Function","location" : {},"aka" : ["IO_FinalizeUnpickled"]},{"name" : "IO_FindExecutable","type" : "GAP_Function","location" : {},"aka" : ["IO_FindExecutable"]},{"name" : "IO_Flush","type" : "GAP_Function","location" : {},"aka" : ["IO_Flush"]},{"name" : "IO_FlushNonBlocking","type" : "GAP_Function","location" : {},"aka" : ["IO_FlushNonBlocking"]},{"name" : "IO_ForkExecWithFDs","type" : "GAP_Function","location" : {},"aka" : ["IO_ForkExecWithFDs"]},{"name" : "IO_GenericObjectPickler","type" : "GAP_Function","location" : {},"aka" : ["IO_GenericObjectPickler"]},{"name" : "IO_GenericObjectUnpickler","type" : "GAP_Function","location" : {},"aka" : ["IO_GenericObjectUnpickler"]},{"name" : "IO_GetFD","type" : "GAP_Function","location" : {},"aka" : ["IO_GetFD"]},{"name" : "IO_GetWBuf","type" : "GAP_Function","location" : {},"aka" : ["IO_GetWBuf"]},{"name" : "IO_HasData","type" : "GAP_Function","location" : {},"aka" : ["IO_HasData"]},{"name" : "IO_IsAlreadyPickled","type" : "GAP_Function","location" : {},"aka" : ["IO_IsAlreadyPickled"]},{"name" : "IO_ListDir","type" : "GAP_Function","location" : {},"aka" : ["IO_ListDir"]},{"name" : "IO_MakeEnvList","type" : "GAP_Function","location" : {},"aka" : ["IO_MakeEnvList"]},{"name" : "IO_MakeIPAddressPort","type" : "GAP_Function","location" : {},"aka" : ["IO_MakeIPAddressPort"]},{"name" : "IO_PickleByString","type" : "GAP_Function","location" : {},"aka" : ["IO_PickleByString"]},{"name" : "IO_PipeThrough","type" : "GAP_Function","location" : {},"aka" : ["IO_PipeThrough"]},{"name" : "IO_PipeThroughWithError","type" : "GAP_Function","location" : {},"aka" : ["IO_PipeThroughWithError"]},{"name" : "IO_Popen","type" : "GAP_Function","location" : {},"aka" : ["IO_Popen"]},{"name" : "IO_Popen2","type" : "GAP_Function","location" : {},"aka" : ["IO_Popen2"]},{"name" : "IO_Popen3","type" : "GAP_Function","location" : {},"aka" : ["IO_Popen3"]},{"name" : "IO_Read","type" : "GAP_Function","location" : {},"aka" : ["IO_Read"]},{"name" : "IO_ReadAttribute","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadAttribute"]},{"name" : "IO_ReadBlock","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadBlock"]},{"name" : "IO_ReadLine","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadLine"]},{"name" : "IO_ReadLines","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadLines"]},{"name" : "IO_ReadSmallInt","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadSmallInt"]},{"name" : "IO_ReadUntilEOF","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadUntilEOF"]},{"name" : "IO_ReadyForFlush","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadyForFlush"]},{"name" : "IO_ReadyForWrite","type" : "GAP_Function","location" : {},"aka" : ["IO_ReadyForWrite"]},{"name" : "IO_Select","type" : "GAP_Function","location" : {},"aka" : ["IO_Select"]},{"name" : "IO_SendStringBackground","type" : "GAP_Function","location" : {},"aka" : ["IO_SendStringBackground"]},{"name" : "IO_StartPipeline","type" : "GAP_Function","location" : {},"aka" : ["IO_StartPipeline"]},{"name" : "IO_StringFilterFile","type" : "GAP_Function","location" : {},"aka" : ["IO_StringFilterFile"]},{"name" : "IO_UnpickleByEvalString","type" : "GAP_Function","location" : {},"aka" : ["IO_UnpickleByEvalString"]},{"name" : "IO_UnpickleByFunction","type" : "GAP_Function","location" : {},"aka" : ["IO_UnpickleByFunction"]},{"name" : "IO_WrapFD","type" : "GAP_Function","location" : {},"aka" : ["IO_WrapFD"]},{"name" : "IO_Write","type" : "GAP_Function","location" : {},"aka" : ["IO_Write"]},{"name" : "IO_WriteAttribute","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteAttribute"]},{"name" : "IO_WriteFlush","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteFlush"]},{"name" : "IO_WriteLine","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteLine"]},{"name" : "IO_WriteLines","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteLines"]},{"name" : "IO_WriteNonBlocking","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteNonBlocking"]},{"name" : "IO_WriteSmallInt","type" : "GAP_Function","location" : {},"aka" : ["IO_WriteSmallInt"]},{"name" : "IdStandardPresented512Group","type" : "GAP_Function","location" : {},"aka" : ["IdStandardPresented512Group"]},{"name" : "IdentityBinaryRelation","type" : "GAP_Function","location" : {},"aka" : ["IdentityBinaryRelation"]},{"name" : "IdentityFromSCTable","type" : "GAP_Function","location" : {},"aka" : ["IdentityFromSCTable"]},{"name" : "IdentityMat","type" : "GAP_Function","location" : {},"aka" : ["IdentityMat"]},{"name" : "Image","type" : "GAP_Function","location" : {},"aka" : ["Image"]},{"name" : "ImageElmActionHomomorphism","type" : "GAP_Function","location" : {}},{"name" : "ImageInWord","type" : "GAP_Function","location" : {},"aka" : ["ImageInWord"]},{"name" : "ImageKernelBlocksHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["ImageKernelBlocksHomomorphism"]},{"name" : "ImageOnAbelianCSPG","type" : "GAP_Function","location" : {},"aka" : ["ImageOnAbelianCSPG"]},{"name" : "ImageSiftedBaseImage","type" : "GAP_Function","location" : {},"aka" : ["ImageSiftedBaseImage"]},{"name" : "Images","type" : "GAP_Function","location" : {},"aka" : ["Images"]},{"name" : "ImagesRepresentativeGMBIByElementsList","type" : "GAP_Function","location" : {}},{"name" : "ImfInvariants","type" : "GAP_Function","location" : {},"aka" : ["ImfInvariants"]},{"name" : "ImfMatrixGroup","type" : "GAP_Function","location" : {},"aka" : ["ImfMatrixGroup"]},{"name" : "ImfNumberQClasses","type" : "GAP_Function","location" : {},"aka" : ["ImfNumberQClasses"]},{"name" : "ImfNumberQQClasses","type" : "GAP_Function","location" : {},"aka" : ["ImfNumberQQClasses"]},{"name" : "ImfNumberZClasses","type" : "GAP_Function","location" : {},"aka" : ["ImfNumberZClasses"]},{"name" : "ImfPositionNumber","type" : "GAP_Function","location" : {},"aka" : ["ImfPositionNumber"]},{"name" : "ImproveActionDegreeByBlocks","type" : "GAP_Function","location" : {},"aka" : ["ImproveActionDegreeByBlocks","ImproveOperationDegreeByBlocks"]},{"name" : "ImproveMaps","type" : "GAP_Function","location" : {},"aka" : ["ImproveMaps"]},{"name" : "IndependentGeneratorsAbelianPPermGroup","type" : "GAP_Function","location" : {},"aka" : ["IndependentGeneratorsAbelianPPermGroup"]},{"name" : "Indeterminateness","type" : "GAP_Function","location" : {},"aka" : ["Indeterminateness"]},{"name" : "IndeterminatenessInfo","type" : "GAP_Function","location" : {},"aka" : ["IndeterminatenessInfo"]},{"name" : "IndexCosetTab","type" : "GAP_Function","location" : {},"aka" : ["IndexCosetTab"]},{"name" : "IndicesStabChain","type" : "GAP_Function","location" : {},"aka" : ["IndicesStabChain"]},{"name" : "Indirected","type" : "GAP_Function","location" : {},"aka" : ["Indirected"]},{"name" : "InducedAutomorphism","type" : "GAP_Function","location" : {},"aka" : ["InducedAutomorphism"]},{"name" : "InducedClassFunctionsByFusionMap","type" : "GAP_Function","location" : {}},{"name" : "InducedGModule","type" : "GAP_Function","location" : {},"aka" : ["InducedGModule"]},{"name" : "InducedLinearAction","type" : "GAP_Function","location" : {},"aka" : ["InducedLinearAction"]},{"name" : "InducedModule","type" : "GAP_Function","location" : {},"aka" : ["InducedModule"]},{"name" : "InducedModuleByFieldReduction","type" : "GAP_Function","location" : {},"aka" : ["InducedModuleByFieldReduction"]},{"name" : "InducedRepresentation","type" : "GAP_Function","location" : {},"aka" : ["InducedRepresentation"]},{"name" : "InducedRepresentationImagesRepresentative","type" : "GAP_Function","location" : {},"aka" : ["InducedRepresentationImagesRepresentative"]},{"name" : "InductionScheme","type" : "GAP_Function","location" : {},"aka" : ["InductionScheme"]},{"name" : "InfiniteListOfGenerators","type" : "GAP_Function","location" : {},"aka" : ["InfiniteListOfGenerators"]},{"name" : "InfiniteListOfNames","type" : "GAP_Function","location" : {},"aka" : ["InfiniteListOfNames"]},{"name" : "InitAbsAndIrredModules","type" : "GAP_Function","location" : {},"aka" : ["InitAbsAndIrredModules"]},{"name" : "InitEpimorphismSQ","type" : "GAP_Function","location" : {},"aka" : ["InitEpimorphismSQ"]},{"name" : "InitFusion","type" : "GAP_Function","location" : {},"aka" : ["InitFusion"]},{"name" : "InitPowerMap","type" : "GAP_Function","location" : {},"aka" : ["InitPowerMap"]},{"name" : "InitializePackagesInfoRecords","type" : "GAP_Function","location" : {},"aka" : ["InitializePackagesInfoRecords"]},{"name" : "InitializeSchreierTree","type" : "GAP_Function","location" : {},"aka" : ["InitializeSchreierTree"]},{"name" : "InnerAutomorphism","type" : "GAP_Function","location" : {},"aka" : ["InnerAutomorphism"]},{"name" : "InnerSubdirectProducts","type" : "GAP_Function","location" : {},"aka" : ["InnerSubdirectProducts"]},{"name" : "InnerSubdirectProducts2","type" : "GAP_Function","location" : {},"aka" : ["InnerSubdirectProducts2"]},{"name" : "InputFromUser","type" : "GAP_Function","location" : {},"aka" : ["InputFromUser"]},{"name" : "InputOutputLocalProcess","type" : "GAP_Function","location" : {},"aka" : ["InputOutputLocalProcess"]},{"name" : "InputTextNone","type" : "GAP_Function","location" : {},"aka" : ["InputTextNone"]},{"name" : "InputTextUser","type" : "GAP_Function","location" : {},"aka" : ["InputTextUser"]},{"name" : "InsertElmList","type" : "GAP_Function","location" : {},"aka" : ["InsertElmList"]},{"name" : "InsertTrivialStabilizer","type" : "GAP_Function","location" : {},"aka" : ["InsertTrivialStabiliser","InsertTrivialStabilizer"]},{"name" : "InstallAccessToGenerators","type" : "GAP_Function","location" : {},"aka" : ["InstallAccessToGenerators"]},{"name" : "InstallCharReadHookFunc","type" : "GAP_Function","location" : {},"aka" : ["InstallCharReadHookFunc"]},{"name" : "InstallHandlingByNiceBasis","type" : "GAP_Function","location" : {},"aka" : ["InstallHandlingByNiceBasis"]},{"name" : "InstalledPackageVersion","type" : "GAP_Function","location" : {},"aka" : ["InstalledPackageVersion"]},{"name" : "IntListUnicodeString","type" : "GAP_Function","location" : {},"aka" : ["IntListUnicodeString"]},{"name" : "IntScalarProducts","type" : "GAP_Function","location" : {},"aka" : ["IntScalarProducts"]},{"name" : "IntegerHashFunction","type" : "GAP_Function","location" : {},"aka" : ["HashFunct","IntegerHashFunction"]},{"name" : "IntegralizedMat","type" : "GAP_Function","location" : {},"aka" : ["IntegralizedMat"]},{"name" : "IntegratedStraightLineProgram","type" : "GAP_Function","location" : {},"aka" : ["IntegratedStraightLineProgram"]},{"name" : "IntermediateGroup","type" : "GAP_Function","location" : {},"aka" : ["IntermediateGroup"]},{"name" : "IntermediateResultOfSLP","type" : "GAP_Function","location" : {},"aka" : ["IntermediateResultOfSLP"]},{"name" : "IntermediateResultOfSLPWithoutOverwrite","type" : "GAP_Function","location" : {},"aka" : ["IntermediateResultOfSLPWithoutOverwrite"]},{"name" : "IntermediateResultsOfSLPWithoutOverwrite","type" : "GAP_Function","location" : {},"aka" : ["IntermediateResultsOfSLPWithoutOverwrite"]},{"name" : "IntermediateResultsOfSLPWithoutOverwriteInner","type" : "GAP_Function","location" : {},"aka" : ["IntermediateResultsOfSLPWithoutOverwriteInner"]},{"name" : "Intersection","type" : "GAP_Function","location" : {},"aka" : ["Intersection"]},{"name" : "Intersection2Spaces","type" : "GAP_Function","location" : {},"aka" : ["Intersection2Spaces"]},{"name" : "IntersectionBlist","type" : "GAP_Function","location" : {},"aka" : ["IntersectionBlist"]},{"name" : "IntersectionNormalClosurePermGroup","type" : "GAP_Function","location" : {},"aka" : ["IntersectionNormalClosurePermGroup"]},{"name" : "InvariantElementaryAbelianSeries","type" : "GAP_Function","location" : {},"aka" : ["InvariantElementaryAbelianSeries"]},{"name" : "InvariantSubgroupsElementaryAbelianGroup","type" : "GAP_Function","location" : {},"aka" : ["InvariantSubgroupsElementaryAbelianGroup"]},{"name" : "InverseAsWord","type" : "GAP_Function","location" : {},"aka" : ["InverseAsWord"]},{"name" : "InverseMap","type" : "GAP_Function","location" : {},"aka" : ["InverseMap"]},{"name" : "InverseMonoid","type" : "GAP_Function","location" : {},"aka" : ["InverseMonoid"]},{"name" : "InverseRepresentative","type" : "GAP_Function","location" : {},"aka" : ["InverseRepresentative"]},{"name" : "InverseRepresentativeWord","type" : "GAP_Function","location" : {},"aka" : ["InverseRepresentativeWord"]},{"name" : "InverseSemigroup","type" : "GAP_Function","location" : {},"aka" : ["InverseSemigroup"]},{"name" : "IrreducibleDifferences","type" : "GAP_Function","location" : {},"aka" : ["IrreducibleDifferences"]},{"name" : "IrreducibleRepresentationsDixon","type" : "GAP_Function","location" : {}},{"name" : "IrreducibleSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["IrreducibleSolvableGroup"]},{"name" : "IrreducibleSolvableGroupMS","type" : "GAP_Function","location" : {},"aka" : ["IrreducibleSolvableGroupMS"]},{"name" : "IsAlphaChar","type" : "GAP_Function","location" : {},"aka" : ["IsAlphaChar"]},{"name" : "IsBPSWLucasPseudoPrime","type" : "GAP_Function","location" : {},"aka" : ["IsBPSWLucasPseudoPrime"]},{"name" : "IsBPSWPseudoPrime","type" : "GAP_Function","location" : {},"aka" : ["IsBPSWPseudoPrime"]},{"name" : "IsBPSWPseudoPrime_VerifyCorrectness","type" : "GAP_Function","location" : {},"aka" : ["IsBPSWPseudoPrime_VerifyCorrectness"]},{"name" : "IsBasicWreathLessThanOrEqual","type" : "GAP_Function","location" : {},"aka" : ["IsBasicWreathLessThanOrEqual"]},{"name" : "IsBoundGlobal","type" : "GAP_Function","location" : {},"aka" : ["IsBoundGlobal"]},{"name" : "IsBound_LeftSemigroupIdealEnumerator","type" : "GAP_Function","location" : {},"aka" : ["IsBound_LeftSemigroupIdealEnumerator"]},{"name" : "IsBound_RightSemigroupIdealEnumerator","type" : "GAP_Function","location" : {},"aka" : ["IsBound_RightSemigroupIdealEnumerator"]},{"name" : "IsCategory","type" : "GAP_Function","location" : {},"aka" : ["IsCategory"]},{"name" : "IsCheapConwayPolynomial","type" : "GAP_Function","location" : {},"aka" : ["IsCheapConwayPolynomial"]},{"name" : "IsClassFusionOfNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["IsClassFusionOfNormalSubgroup"]},{"name" : "IsDigitChar","type" : "GAP_Function","location" : {},"aka" : ["IsDigitChar"]},{"name" : "IsDxLargeGroup","type" : "GAP_Function","location" : {},"aka" : ["IsDxLargeGroup"]},{"name" : "IsEquivalentByFp","type" : "GAP_Function","location" : {},"aka" : ["IsEquivalentByFp"]},{"name" : "IsEvenInt","type" : "GAP_Function","location" : {},"aka" : ["IsEvenInt"]},{"name" : "IsFixedStabilizer","type" : "GAP_Function","location" : {},"aka" : ["IsFixedStabiliser","IsFixedStabilizer"]},{"name" : "IsGaussInt","type" : "GAP_Function","location" : {},"aka" : ["IsGaussInt"]},{"name" : "IsGaussRat","type" : "GAP_Function","location" : {},"aka" : ["IsGaussRat"]},{"name" : "IsInBasicOrbit","type" : "GAP_Function","location" : {},"aka" : ["IsInBasicOrbit"]},{"name" : "IsLexicographicallyLess","type" : "GAP_Function","location" : {},"aka" : ["IsLexicographicallyLess"]},{"name" : "IsLowerAlphaChar","type" : "GAP_Function","location" : {},"aka" : ["IsLowerAlphaChar"]},{"name" : "IsLucasPseudoPrimeDP","type" : "GAP_Function","location" : {},"aka" : ["IsLucasPseudoPrimeDP"]},{"name" : "IsOddInt","type" : "GAP_Function","location" : {},"aka" : ["IsOddInt"]},{"name" : "IsPackageMarkedForLoading","type" : "GAP_Function","location" : {},"aka" : ["IsPackageMarkedForLoading"]},{"name" : "IsPartition","type" : "GAP_Function","location" : {},"aka" : ["IsPartition"]},{"name" : "IsPrimeInt","type" : "GAP_Function","location" : {},"aka" : ["IsPrimeInt"]},{"name" : "IsPrimeIntOld","type" : "GAP_Function","location" : {},"aka" : ["IsPrimeIntOld"]},{"name" : "IsPrimePowerInt","type" : "GAP_Function","location" : {},"aka" : ["IsPrimePowerInt"]},{"name" : "IsPrimitiveRootMod","type" : "GAP_Function","location" : {},"aka" : ["IsPrimitiveRootMod"]},{"name" : "IsProbablyPrimeInt","type" : "GAP_Function","location" : {},"aka" : ["IsProbablyPrimeInt"]},{"name" : "IsReadOnlyGlobal","type" : "GAP_Function","location" : {},"aka" : ["IsReadOnlyGlobal"]},{"name" : "IsShortLexLessThanOrEqual","type" : "GAP_Function","location" : {},"aka" : ["IsShortLexLessThanOrEqual"]},{"name" : "IsSquareInt","type" : "GAP_Function","location" : {},"aka" : ["IsSquareInt"]},{"name" : "IsStandardized","type" : "GAP_Function","location" : {},"aka" : ["IsStandardized"]},{"name" : "IsStrongLucasPseudoPrimeDP","type" : "GAP_Function","location" : {},"aka" : ["IsStrongLucasPseudoPrimeDP"]},{"name" : "IsStrongPseudoPrimeBaseA","type" : "GAP_Function","location" : {},"aka" : ["IsStrongPseudoPrimeBaseA"]},{"name" : "IsSubgroup","type" : "GAP_Function","location" : {},"aka" : ["IsSubgroup"]},{"name" : "IsSubspace","type" : "GAP_Function","location" : {},"aka" : ["IsSubspace"]},{"name" : "IsTrivialNormalIntersectionInList","type" : "GAP_Function","location" : {},"aka" : ["IsTrivialNormalIntersectionInList"]},{"name" : "IsTrivialRBase","type" : "GAP_Function","location" : {},"aka" : ["IsTrivialRBase"]},{"name" : "IsUpperAlphaChar","type" : "GAP_Function","location" : {},"aka" : ["IsUpperAlphaChar"]},{"name" : "IsValidIdentifier","type" : "GAP_Function","location" : {},"aka" : ["IsValidIdentifier"]},{"name" : "IsolatePoint","type" : "GAP_Function","location" : {},"aka" : ["IsolatePoint"]},{"name" : "IsomorphismAbelianGroups","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismAbelianGroups"]},{"name" : "IsomorphismFpGroupByChiefSeriesFactor","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismFpGroupByChiefSeriesFactor"]},{"name" : "IsomorphismFpGroupByGenerators","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismFpGroupByGenerators"]},{"name" : "IsomorphismFpGroupByPcgs","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismFpGroupByPcgs"]},{"name" : "IsomorphismFpMonoidGeneratorsFirst","type" : "GAP_Function","location" : {}},{"name" : "IsomorphismFpMonoidInversesFirst","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismFpMonoidInversesFirst"]},{"name" : "IsomorphismGroups","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismGroups"]},{"name" : "IsomorphismPermGroupImfGroup","type" : "GAP_Function","location" : {}},{"name" : "IsomorphismPermGroupOrFailFpGroup","type" : "GAP_Function","location" : {},"aka" : ["IsomorphismPermGroupOrFailFpGroup"]},{"name" : "IteratorByFunctions","type" : "GAP_Function","location" : {},"aka" : ["IteratorByFunctions"]},{"name" : "IteratorList","type" : "GAP_Function","location" : {}},{"name" : "IteratorOfCartesianProduct","type" : "GAP_Function","location" : {},"aka" : ["IteratorOfCartesianProduct"]},{"name" : "IteratorOfCombinations","type" : "GAP_Function","location" : {},"aka" : ["IteratorOfCombinations"]},{"name" : "IteratorOfPartitions","type" : "GAP_Function","location" : {},"aka" : ["IteratorOfPartitions"]},{"name" : "IteratorOfTuples","type" : "GAP_Function","location" : {},"aka" : ["IteratorOfTuples"]},{"name" : "IteratorStabChain","type" : "GAP_Function","location" : {},"aka" : ["IteratorStabChain"]},{"name" : "Jacobi","type" : "GAP_Function","location" : {},"aka" : ["Jacobi"]},{"name" : "JoinOfIdempotentPartialPermsNC","type" : "GAP_Function","location" : {},"aka" : ["JoinOfIdempotentPartialPermsNC"]},{"name" : "JoinOfPartialPerms","type" : "GAP_Function","location" : {},"aka" : ["JoinOfPartialPerms"]},{"name" : "JoinRanges","type" : "GAP_Function","location" : {},"aka" : ["JoinRanges"]},{"name" : "JoinStringsWithSeparator","type" : "GAP_Function","location" : {},"aka" : ["JoinStringsWithSeparator"]},{"name" : "JsonStreamToGap","type" : "GAP_Function","location" : {},"aka" : ["JsonStreamToGap"]},{"name" : "JsonStringToGap","type" : "GAP_Function","location" : {},"aka" : ["JsonStringToGap"]},{"name" : "KernelHcommaC","type" : "GAP_Function","location" : {},"aka" : ["KernelHcommaC"]},{"name" : "KnownNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["KnownNaturalHomomorphismsPool"]},{"name" : "KuKGenerators","type" : "GAP_Function","location" : {},"aka" : ["KuKGenerators"]},{"name" : "LIST_WITH_HOMOGENEOUS_MUTABILITY_LEVEL","type" : "GAP_Function","location" : {},"aka" : ["LIST_WITH_HOMOGENEOUS_MUTABILITY_LEVEL"]},{"name" : "LLL","type" : "GAP_Function","location" : {},"aka" : ["LLL"]},{"name" : "LLLReducedBasis","type" : "GAP_Function","location" : {},"aka" : ["LLLReducedBasis"]},{"name" : "LLLReducedGramMat","type" : "GAP_Function","location" : {},"aka" : ["LLLReducedGramMat"]},{"name" : "LLLint","type" : "GAP_Function","location" : {},"aka" : ["LLLint"]},{"name" : "LR2MagmaCongruenceByGeneratingPairsCAT","type" : "GAP_Function","location" : {},"aka" : ["LR2MagmaCongruenceByGeneratingPairsCAT"]},{"name" : "LR2MagmaCongruenceByPartitionNCCAT","type" : "GAP_Function","location" : {},"aka" : ["LR2MagmaCongruenceByPartitionNCCAT"]},{"name" : "LaTeXStringDecompositionMatrix","type" : "GAP_Function","location" : {},"aka" : ["LaTeXStringDecompositionMatrix"]},{"name" : "LaTeXTable","type" : "GAP_Function","location" : {},"aka" : ["LaTeXTable"]},{"name" : "LabsLims","type" : "GAP_Function","location" : {},"aka" : ["LabsLims"]},{"name" : "LargerQuotientBySubgroupAbelianization","type" : "GAP_Function","location" : {},"aka" : ["LargerQuotientBySubgroupAbelianization"]},{"name" : "LargestElementStabChain","type" : "GAP_Function","location" : {},"aka" : ["LargestElementStabChain"]},{"name" : "LatticeByCyclicExtension","type" : "GAP_Function","location" : {},"aka" : ["LatticeByCyclicExtension"]},{"name" : "LatticeSubgroupsByTom","type" : "GAP_Function","location" : {}},{"name" : "LatticeViaRadical","type" : "GAP_Function","location" : {}},{"name" : "LaurentPolynomialByExtRepNC","type" : "GAP_Function","location" : {},"aka" : ["LaurentPolynomialByExtRep","LaurentPolynomialByExtRepNC"]},{"name" : "Lcm","type" : "GAP_Function","location" : {},"aka" : ["Lcm"]},{"name" : "LcmInt","type" : "GAP_Function","location" : {},"aka" : ["LcmInt"]},{"name" : "LeadingMonomialPosExtRep","type" : "GAP_Function","location" : {},"aka" : ["LeadingMonomialPosExtRep"]},{"name" : "LeftIdeal","type" : "GAP_Function","location" : {},"aka" : ["LeftIdeal"]},{"name" : "LeftIdealNC","type" : "GAP_Function","location" : {},"aka" : ["LeftIdealNC"]},{"name" : "LeftMagmaCongruence","type" : "GAP_Function","location" : {},"aka" : ["LeftMagmaCongruence"]},{"name" : "LeftMagmaIdeal","type" : "GAP_Function","location" : {},"aka" : ["LeftMagmaIdeal"]},{"name" : "LeftModuleHomomorphismByImages","type" : "GAP_Function","location" : {},"aka" : ["LeftModuleHomomorphismByImages"]},{"name" : "LeftQuotientPowerPcgsElement","type" : "GAP_Function","location" : {},"aka" : ["LeftQuotientPowerPcgsElement"]},{"name" : "LeftReduceUEALatticeElement","type" : "GAP_Function","location" : {},"aka" : ["LeftReduceUEALatticeElement"]},{"name" : "Legendre","type" : "GAP_Function","location" : {},"aka" : ["Legendre"]},{"name" : "LenstraBase","type" : "GAP_Function","location" : {},"aka" : ["LenstraBase"]},{"name" : "LieAlgebra","type" : "GAP_Function","location" : {},"aka" : ["LieAlgebra"]},{"name" : "LieAlgebraByStructureConstants","type" : "GAP_Function","location" : {},"aka" : ["LieAlgebraByStructureConstants"]},{"name" : "LieCoboundaryOperator","type" : "GAP_Function","location" : {},"aka" : ["LieCoboundaryOperator"]},{"name" : "LiftAbsAndIrredModules","type" : "GAP_Function","location" : {},"aka" : ["LiftAbsAndIrredModules"]},{"name" : "LiftEpimorphismSQ","type" : "GAP_Function","location" : {},"aka" : ["LiftEpimorphismSQ"]},{"name" : "LiftFactorFpHom","type" : "GAP_Function","location" : {},"aka" : ["LiftFactorFpHom"]},{"name" : "LiftedInducedPcgs","type" : "GAP_Function","location" : {},"aka" : ["LiftedInducedPcgs"]},{"name" : "LiftedPcElement","type" : "GAP_Function","location" : {},"aka" : ["LiftedPcElement"]},{"name" : "LinearActionLayer","type" : "GAP_Function","location" : {},"aka" : ["LinearActionLayer","LinearOperationLayer"]},{"name" : "LinearCombinationPcgs","type" : "GAP_Function","location" : {},"aka" : ["LinearCombinationPcgs"]},{"name" : "LinearGroupParameters","type" : "GAP_Function","location" : {},"aka" : ["LinearGroupParameters"]},{"name" : "LinearIndependentColumns","type" : "GAP_Function","location" : {},"aka" : ["LinearIndependentColumns"]},{"name" : "LinearOrderByPartialWeakOrder","type" : "GAP_Function","location" : {},"aka" : ["LinearOrderByPartialWeakOrder"]},{"name" : "List","type" : "GAP_Function","location" : {},"aka" : ["List"]},{"name" : "ListN","type" : "GAP_Function","location" : {},"aka" : ["ListN"]},{"name" : "ListOfDigits","type" : "GAP_Function","location" : {},"aka" : ["ListOfDigits"]},{"name" : "ListStabChain","type" : "GAP_Function","location" : {},"aka" : ["ListStabChain"]},{"name" : "ListWithIdenticalEntries","type" : "GAP_Function","location" : {},"aka" : ["ListWithIdenticalEntries"]},{"name" : "ListX","type" : "GAP_Function","location" : {},"aka" : ["ListX"]},{"name" : "LoadAllPackages","type" : "GAP_Function","location" : {},"aka" : ["LoadAllPackages"]},{"name" : "LoadPackage","type" : "GAP_Function","location" : {},"aka" : ["LoadPackage","RequirePackage"]},{"name" : "LoadPackageDocumentation","type" : "GAP_Function","location" : {},"aka" : ["LoadPackageDocumentation"]},{"name" : "LockNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["LockNaturalHomomorphismsPool"]},{"name" : "LogInt","type" : "GAP_Function","location" : {}},{"name" : "LogMod","type" : "GAP_Function","location" : {},"aka" : ["LogMod"]},{"name" : "LogModShanks","type" : "GAP_Function","location" : {},"aka" : ["LogModShanks"]},{"name" : "LogPackageLoadingMessage","type" : "GAP_Function","location" : {},"aka" : ["LogPackageLoadingMessage"]},{"name" : "LowerASCIIString","type" : "GAP_Function","location" : {},"aka" : ["LowerASCIIString"]},{"name" : "LowercaseString","type" : "GAP_Function","location" : {},"aka" : ["LowercaseString"]},{"name" : "LowercaseUnicodeString","type" : "GAP_Function","location" : {},"aka" : ["LowercaseUnicodeString"]},{"name" : "Lucas","type" : "GAP_Function","location" : {},"aka" : ["Lucas"]},{"name" : "MATCH_BEGIN","type" : "GAP_Function","location" : {},"aka" : ["MATCH_BEGIN"]},{"name" : "MATCH_BEGIN_COUNT","type" : "GAP_Function","location" : {},"aka" : ["MATCH_BEGIN_COUNT"]},{"name" : "MU_AddToCache","type" : "GAP_Function","location" : {},"aka" : ["MU_AddToCache"]},{"name" : "MU_Finalize","type" : "GAP_Function","location" : {},"aka" : ["MU_Finalize"]},{"name" : "Magma","type" : "GAP_Function","location" : {},"aka" : ["Magma"]},{"name" : "MagmaByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["MagmaByMultiplicationTable"]},{"name" : "MagmaByMultiplicationTableCreator","type" : "GAP_Function","location" : {},"aka" : ["MagmaByMultiplicationTableCreator"]},{"name" : "MagmaByMultiplicationTableCreatorNC","type" : "GAP_Function","location" : {},"aka" : ["MagmaByMultiplicationTableCreatorNC"]},{"name" : "MagmaElement","type" : "GAP_Function","location" : {},"aka" : ["MagmaElement"]},{"name" : "MagmaHomomorphismByFunctionNC","type" : "GAP_Function","location" : {},"aka" : ["MagmaHomomorphismByFunctionNC"]},{"name" : "MagmaIdeal","type" : "GAP_Function","location" : {},"aka" : ["MagmaIdeal"]},{"name" : "MagmaIsomorphismByFunctionsNC","type" : "GAP_Function","location" : {},"aka" : ["MagmaIsomorphismByFunctionsNC"]},{"name" : "MagmaRingModuloSpanOfZero","type" : "GAP_Function","location" : {},"aka" : ["MagmaRingModuloSpanOfZero"]},{"name" : "MagmaWithInverses","type" : "GAP_Function","location" : {},"aka" : ["MagmaWithInverses"]},{"name" : "MagmaWithInversesByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["MagmaWithInversesByMultiplicationTable"]},{"name" : "MagmaWithOne","type" : "GAP_Function","location" : {},"aka" : ["MagmaWithOne"]},{"name" : "MagmaWithOneByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["MagmaWithOneByMultiplicationTable"]},{"name" : "MakeKnuthBendixRewritingSystemConfluent","type" : "GAP_Function","location" : {},"aka" : ["MakeKnuthBendixRewritingSystemConfluent"]},{"name" : "MakeMapping","type" : "GAP_Function","location" : {},"aka" : ["MakeMapping"]},{"name" : "MakeMatrix","type" : "GAP_Function","location" : {},"aka" : ["MakeMatrix"]},{"name" : "MakePlistVectorType","type" : "GAP_Function","location" : {},"aka" : ["MakePlistVectorType"]},{"name" : "MakeReadOnlyGlobal","type" : "GAP_Function","location" : {},"aka" : ["MakeReadOnlyGlobal"]},{"name" : "MakeReadWriteGlobal","type" : "GAP_Function","location" : {},"aka" : ["MakeReadWriteGlobal"]},{"name" : "MakeStabChainLong","type" : "GAP_Function","location" : {},"aka" : ["MakeStabChainLong"]},{"name" : "MakeVector","type" : "GAP_Function","location" : {},"aka" : ["MakeVector"]},{"name" : "ManualExamples","type" : "GAP_Function","location" : {},"aka" : ["ManualExamples"]},{"name" : "ManualExamplesXMLTree","type" : "GAP_Function","location" : {},"aka" : ["ManualExamplesXMLTree"]},{"name" : "MappedPcElement","type" : "GAP_Function","location" : {},"aka" : ["MappedPcElement"]},{"name" : "MappingByFunction","type" : "GAP_Function","location" : {},"aka" : ["MappingByFunction"]},{"name" : "MarkObject","type" : "GAP_Function","location" : {},"aka" : ["MarkObject"]},{"name" : "MatCharsWreathSymmetric","type" : "GAP_Function","location" : {},"aka" : ["MatCharsWreathSymmetric"]},{"name" : "MatClassMultCoeffsCharTable","type" : "GAP_Function","location" : {},"aka" : ["MatClassMultCoeffsCharTable"]},{"name" : "MatDirectProduct","type" : "GAP_Function","location" : {},"aka" : ["MatDirectProduct"]},{"name" : "MatWreathProduct","type" : "GAP_Function","location" : {}},{"name" : "MaximalPropertySubgroups","type" : "GAP_Function","location" : {},"aka" : ["MaximalPropertySubgroups"]},{"name" : "MaximalSolvableSubgroups","type" : "GAP_Function","location" : {},"aka" : ["MaximalSolvableSubgroups"]},{"name" : "MaximalSubgroupsSymmAlt","type" : "GAP_Function","location" : {},"aka" : ["MaximalSubgroupsSymmAlt"]},{"name" : "Maximum","type" : "GAP_Function","location" : {},"aka" : ["Maximum"]},{"name" : "Median","type" : "GAP_Function","location" : {},"aka" : ["Median"]},{"name" : "MeetMaps","type" : "GAP_Function","location" : {},"aka" : ["MeetMaps"]},{"name" : "MeetOfPartialPerms","type" : "GAP_Function","location" : {}},{"name" : "MeetPartitionStrat","type" : "GAP_Function","location" : {},"aka" : ["MeetPartitionStrat"]},{"name" : "MeetPartitionStratCell","type" : "GAP_Function","location" : {},"aka" : ["MeetPartitionStratCell"]},{"name" : "MinimalElementCosetStabChain","type" : "GAP_Function","location" : {},"aka" : ["MinimalElementCosetStabChain"]},{"name" : "MinimalNonmonomialGroup","type" : "GAP_Function","location" : {},"aka" : ["MinimalNonmonomialGroup"]},{"name" : "MinimizeExplicitTransversal","type" : "GAP_Function","location" : {},"aka" : ["MinimizeExplicitTransversal"]},{"name" : "Minimum","type" : "GAP_Function","location" : {},"aka" : ["Minimum"]},{"name" : "MinimumGroupOnSubgroupsOrbit","type" : "GAP_Function","location" : {},"aka" : ["MinimumGroupOnSubgroupsOrbit"]},{"name" : "MinusCharacter","type" : "GAP_Function","location" : {},"aka" : ["MinusCharacter"]},{"name" : "ModuloTailPcgsByList","type" : "GAP_Function","location" : {},"aka" : ["ModuloTailPcgsByList"]},{"name" : "MoebiusMu","type" : "GAP_Function","location" : {},"aka" : ["MoebiusMu"]},{"name" : "MolienSeries","type" : "GAP_Function","location" : {},"aka" : ["MolienSeries"]},{"name" : "MolienSeriesWithGivenDenominator","type" : "GAP_Function","location" : {},"aka" : ["MolienSeriesWithGivenDenominator"]},{"name" : "Monoid","type" : "GAP_Function","location" : {},"aka" : ["Monoid"]},{"name" : "MonoidByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["MonoidByMultiplicationTable"]},{"name" : "MonomialExtGrlexLess","type" : "GAP_Function","location" : {},"aka" : ["MonomialExtGrlexLess"]},{"name" : "MonomialGrevlexOrdering","type" : "GAP_Function","location" : {},"aka" : ["MonomialGrevlexOrdering"]},{"name" : "MonomialGrlexOrdering","type" : "GAP_Function","location" : {},"aka" : ["MonomialGrlexOrdering"]},{"name" : "MonomialLexOrdering","type" : "GAP_Function","location" : {},"aka" : ["MonomialLexOrdering"]},{"name" : "MorClassLoop","type" : "GAP_Function","location" : {},"aka" : ["MorClassLoop"]},{"name" : "MorFindGeneratingSystem","type" : "GAP_Function","location" : {},"aka" : ["MorFindGeneratingSystem"]},{"name" : "MorFroWords","type" : "GAP_Function","location" : {},"aka" : ["MorFroWords"]},{"name" : "MorMaxFusClasses","type" : "GAP_Function","location" : {},"aka" : ["MorMaxFusClasses"]},{"name" : "MorRatClasses","type" : "GAP_Function","location" : {},"aka" : ["MorRatClasses"]},{"name" : "Morphium","type" : "GAP_Function","location" : {},"aka" : ["Morphium"]},{"name" : "MorrisRecursion","type" : "GAP_Function","location" : {},"aka" : ["MorrisRecursion"]},{"name" : "MostFrequentGeneratorFpGroup","type" : "GAP_Function","location" : {},"aka" : ["MostFrequentGeneratorFpGroup"]},{"name" : "MovedPointsPerms","type" : "GAP_Function","location" : {}},{"name" : "MultiActionsHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["MultiActionsHomomorphism"]},{"name" : "MultivariateFactorsPolynomial","type" : "GAP_Function","location" : {},"aka" : ["MultivariateFactorsPolynomial"]},{"name" : "MutableBasisOfClosureUnderAction","type" : "GAP_Function","location" : {},"aka" : ["MutableBasisOfClosureUnderAction"]},{"name" : "MutableBasisOfIdealInNonassociativeAlgebra","type" : "GAP_Function","location" : {},"aka" : ["MutableBasisOfIdealInNonassociativeAlgebra"]},{"name" : "MutableBasisOfNonassociativeAlgebra","type" : "GAP_Function","location" : {},"aka" : ["MutableBasisOfNonassociativeAlgebra"]},{"name" : "MutableBasisViaNiceMutableBasisMethod2","type" : "GAP_Function","location" : {}},{"name" : "MutableBasisViaNiceMutableBasisMethod3","type" : "GAP_Function","location" : {}},{"name" : "NK","type" : "GAP_Function","location" : {},"aka" : ["NK"]},{"name" : "NORMALIZE_IGS","type" : "GAP_Function","location" : {},"aka" : ["NORMALIZE_IGS"]},{"name" : "NaturalActedSpace","type" : "GAP_Function","location" : {},"aka" : ["NaturalActedSpace"]},{"name" : "NaturalHomomorphismByNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["NaturalHomomorphismByNormalSubgroup"]},{"name" : "NaturalHomomorphismBySubspaceOntoFullRowSpace","type" : "GAP_Function","location" : {}},{"name" : "NearAdditiveGroup","type" : "GAP_Function","location" : {},"aka" : ["AdditiveGroup","AdditiveMagmaWithInverses","NearAdditiveGroup","NearAdditiveMagmaWithInverses"]},{"name" : "NearAdditiveMagma","type" : "GAP_Function","location" : {},"aka" : ["AdditiveMagma","NearAdditiveMagma"]},{"name" : "NearAdditiveMagmaWithZero","type" : "GAP_Function","location" : {},"aka" : ["AdditiveMagmaWithZero","NearAdditiveMagmaWithZero"]},{"name" : "NewCompositionOfStraightLinePrograms","type" : "GAP_Function","location" : {},"aka" : ["NewCompositionOfStraightLinePrograms"]},{"name" : "NewDictionary","type" : "GAP_Function","location" : {},"aka" : ["NewDictionary"]},{"name" : "NewObjectMarker","type" : "GAP_Function","location" : {},"aka" : ["NewObjectMarker"]},{"name" : "NewProductOfStraightLinePrograms","type" : "GAP_Function","location" : {},"aka" : ["NewProductOfStraightLinePrograms"]},{"name" : "NewmanInfinityCriterion","type" : "GAP_Function","location" : {},"aka" : ["NewmanInfinityCriterion"]},{"name" : "NextIterator_StabChain","type" : "GAP_Function","location" : {},"aka" : ["NextIterator_StabChain"]},{"name" : "NextLevelRegularGroups","type" : "GAP_Function","location" : {},"aka" : ["NextLevelRegularGroups"]},{"name" : "NextPrimeInt","type" : "GAP_Function","location" : {},"aka" : ["NextPrimeInt"]},{"name" : "NextRBasePoint","type" : "GAP_Function","location" : {},"aka" : ["NextRBasePoint"]},{"name" : "NiceMonomorphismAutomGroup","type" : "GAP_Function","location" : {},"aka" : ["NiceMonomorphismAutomGroup"]},{"name" : "NicomorphismFFMatGroupOnFullSpace","type" : "GAP_Function","location" : {},"aka" : ["NicomorphismFFMatGroupOnFullSpace"]},{"name" : "NilpotentQuotientOfFpLieAlgebra","type" : "GAP_Function","location" : {},"aka" : ["NilpotentQuotientOfFpLieAlgebra"]},{"name" : "NinKernelCSPG","type" : "GAP_Function","location" : {},"aka" : ["NinKernelCSPG"]},{"name" : "NonPerfectCSPG","type" : "GAP_Function","location" : {},"aka" : ["NonPerfectCSPG"]},{"name" : "NonnegIntScalarProducts","type" : "GAP_Function","location" : {},"aka" : ["NonnegIntScalarProducts"]},{"name" : "NormalFormIntMat","type" : "GAP_Function","location" : {},"aka" : ["NormalFormIntMat"]},{"name" : "NormalHallSubgroupsFromSylows","type" : "GAP_Function","location" : {},"aka" : ["NormalHallSubgroupsFromSylows"]},{"name" : "NormalSubgroupClasses","type" : "GAP_Function","location" : {},"aka" : ["NormalSubgroupClasses"]},{"name" : "NormalSubgroupsAbove","type" : "GAP_Function","location" : {},"aka" : ["NormalSubgroupsAbove"]},{"name" : "NormalizeNameAndKey","type" : "GAP_Function","location" : {},"aka" : ["NormalizeNameAndKey"]},{"name" : "NormalizedArgList","type" : "GAP_Function","location" : {},"aka" : ["NormalizedArgList"]},{"name" : "NormalizedNameAndKey","type" : "GAP_Function","location" : {},"aka" : ["NormalizedNameAndKey"]},{"name" : "NormalizedWhitespace","type" : "GAP_Function","location" : {},"aka" : ["NormalizedWhitespace"]},{"name" : "NormalizerPermGroup","type" : "GAP_Function","location" : {}},{"name" : "NormalizerStabCSPG","type" : "GAP_Function","location" : {},"aka" : ["NormaliserStabCSPG","NormalizerStabCSPG"]},{"name" : "NrArrangements","type" : "GAP_Function","location" : {},"aka" : ["NrArrangements"]},{"name" : "NrCharsUTF8String","type" : "GAP_Function","location" : {},"aka" : ["NrCharsUTF8String"]},{"name" : "NrCombinations","type" : "GAP_Function","location" : {},"aka" : ["NrCombinations"]},{"name" : "NrConjugacyClassesGL","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesGL"]},{"name" : "NrConjugacyClassesGU","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesGU"]},{"name" : "NrConjugacyClassesPGL","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesPGL"]},{"name" : "NrConjugacyClassesPGU","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesPGU"]},{"name" : "NrConjugacyClassesPSL","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesPSL"]},{"name" : "NrConjugacyClassesPSU","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesPSU"]},{"name" : "NrConjugacyClassesSL","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesSL"]},{"name" : "NrConjugacyClassesSLIsogeneous","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesSLIsogeneous"]},{"name" : "NrConjugacyClassesSU","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesSU"]},{"name" : "NrConjugacyClassesSUIsogeneous","type" : "GAP_Function","location" : {},"aka" : ["NrConjugacyClassesSUIsogeneous"]},{"name" : "NrDerangements","type" : "GAP_Function","location" : {},"aka" : ["NrDerangements"]},{"name" : "NrOrderedPartitions","type" : "GAP_Function","location" : {},"aka" : ["NrOrderedPartitions"]},{"name" : "NrPartitionTuples","type" : "GAP_Function","location" : {},"aka" : ["NrPartitionTuples"]},{"name" : "NrPartitions","type" : "GAP_Function","location" : {},"aka" : ["NrPartitions"]},{"name" : "NrPartitionsSet","type" : "GAP_Function","location" : {},"aka" : ["NrPartitionsSet"]},{"name" : "NrPermutationsList","type" : "GAP_Function","location" : {},"aka" : ["NrPermutationsList"]},{"name" : "NrPolyhedralSubgroups","type" : "GAP_Function","location" : {},"aka" : ["NrPolyhedralSubgroups"]},{"name" : "NrPrimitiveGroups","type" : "GAP_Function","location" : {},"aka" : ["NrPrimitiveGroups"]},{"name" : "NrRestrictedPartitions","type" : "GAP_Function","location" : {},"aka" : ["NrRestrictedPartitions"]},{"name" : "NrTransitiveGroups","type" : "GAP_Function","location" : {},"aka" : ["NrTransitiveGroups"]},{"name" : "NrTuples","type" : "GAP_Function","location" : {},"aka" : ["NrTuples"]},{"name" : "NrUnorderedTuples","type" : "GAP_Function","location" : {},"aka" : ["NrUnorderedTuples"]},{"name" : "NthRootsInGroup","type" : "GAP_Function","location" : {},"aka" : ["NthRootsInGroup"]},{"name" : "NullMat","type" : "GAP_Function","location" : {},"aka" : ["NullMat"]},{"name" : "NullspaceModQ","type" : "GAP_Function","location" : {},"aka" : ["NullspaceModQ"]},{"name" : "Number","type" : "GAP_Function","location" : {},"aka" : ["Number"]},{"name" : "NumberCells","type" : "GAP_Function","location" : {},"aka" : ["NumberCells"]},{"name" : "NumberCoset","type" : "GAP_Function","location" : {},"aka" : ["NumberCoset"]},{"name" : "NumberDigits","type" : "GAP_Function","location" : {},"aka" : ["NumberDigits"]},{"name" : "NumberIrreducibleSolvableGroups","type" : "GAP_Function","location" : {},"aka" : ["NrIrreducibleSolvableGroups","NumberIrreducibleSolvableGroups"]},{"name" : "NumberOfLines","type" : "GAP_Function","location" : {},"aka" : ["NumberOfLines"]},{"name" : "NumberPerfectGroups","type" : "GAP_Function","location" : {},"aka" : ["NrPerfectGroups","NumberPerfectGroups"]},{"name" : "NumberPerfectLibraryGroups","type" : "GAP_Function","location" : {},"aka" : ["NrPerfectLibraryGroups","NumberPerfectLibraryGroups"]},{"name" : "NumberSmallGroups","type" : "GAP_Function","location" : {},"aka" : ["NrSmallGroups","NumberSmallGroups"]},{"name" : "NumberSmallRings","type" : "GAP_Function","location" : {},"aka" : ["NumberSmallRings"]},{"name" : "NumbersString","type" : "GAP_Function","location" : {},"aka" : ["NumbersString"]},{"name" : "OCAddGenerators","type" : "GAP_Function","location" : {},"aka" : ["OCAddGenerators"]},{"name" : "OCAddMatrices","type" : "GAP_Function","location" : {},"aka" : ["OCAddMatrices"]},{"name" : "OCAddToFunctions","type" : "GAP_Function","location" : {},"aka" : ["OCAddToFunctions"]},{"name" : "OCConjugatingWord","type" : "GAP_Function","location" : {},"aka" : ["OCConjugatingWord"]},{"name" : "OCEquationMatrix","type" : "GAP_Function","location" : {},"aka" : ["OCEquationMatrix"]},{"name" : "OCEquationVector","type" : "GAP_Function","location" : {},"aka" : ["OCEquationVector"]},{"name" : "OCOneCoboundaries","type" : "GAP_Function","location" : {},"aka" : ["OCOneCoboundaries"]},{"name" : "OCOneCocycles","type" : "GAP_Function","location" : {},"aka" : ["OCOneCocycles"]},{"name" : "OCSmallEquationMatrix","type" : "GAP_Function","location" : {},"aka" : ["OCSmallEquationMatrix"]},{"name" : "OCSmallEquationVector","type" : "GAP_Function","location" : {},"aka" : ["OCSmallEquationVector"]},{"name" : "ObjByVector","type" : "GAP_Function","location" : {},"aka" : ["ObjByVector"]},{"name" : "OctaveAlgebra","type" : "GAP_Function","location" : {},"aka" : ["OctaveAlgebra"]},{"name" : "OldGeneratorsOfPresentation","type" : "GAP_Function","location" : {},"aka" : ["OldGeneratorsOfPresentation"]},{"name" : "OnIndeterminates","type" : "GAP_Function","location" : {},"aka" : ["OnIndeterminates"]},{"name" : "OnLines","type" : "GAP_Function","location" : {},"aka" : ["OnLines"]},{"name" : "OnSetsDisjointSets","type" : "GAP_Function","location" : {},"aka" : ["OnSetsDisjointSets"]},{"name" : "OnSetsSets","type" : "GAP_Function","location" : {},"aka" : ["OnSetsSets"]},{"name" : "OnSetsTuples","type" : "GAP_Function","location" : {},"aka" : ["OnSetsTuples"]},{"name" : "OnSubspacesByCanonicalBasis","type" : "GAP_Function","location" : {},"aka" : ["OnSubspacesByCanonicalBasis","OnSubspacesByCanonicalBasisGF2"]},{"name" : "OnSubspacesByCanonicalBasisConcatenations","type" : "GAP_Function","location" : {},"aka" : ["OnSubspacesByCanonicalBasisConcatenations"]},{"name" : "OnTuplesSets","type" : "GAP_Function","location" : {},"aka" : ["OnTuplesSets"]},{"name" : "OnTuplesTuples","type" : "GAP_Function","location" : {},"aka" : ["OnTuplesTuples"]},{"name" : "OneCoboundaries","type" : "GAP_Function","location" : {},"aka" : ["OneCoboundaries"]},{"name" : "OneCocycles","type" : "GAP_Function","location" : {},"aka" : ["OneCocycles"]},{"name" : "OneFactorBound","type" : "GAP_Function","location" : {},"aka" : ["OneFactorBound"]},{"name" : "OneIrreducibleSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["OneIrreducibleSolvableGroup"]},{"name" : "OnePrimitiveGroup","type" : "GAP_Function","location" : {},"aka" : ["OnePrimitiveGroup"]},{"name" : "OpenHTTPConnection","type" : "GAP_Function","location" : {},"aka" : ["OpenHTTPConnection"]},{"name" : "OrbitByPosOp","type" : "GAP_Function","location" : {},"aka" : ["OrbitByPosOp"]},{"name" : "OrbitChar","type" : "GAP_Function","location" : {},"aka" : ["OrbitChar"]},{"name" : "OrbitFusions","type" : "GAP_Function","location" : {},"aka" : ["OrbitFusions"]},{"name" : "OrbitMinimumMultistage","type" : "GAP_Function","location" : {},"aka" : ["OrbitMinimumMultistage"]},{"name" : "OrbitPerms","type" : "GAP_Function","location" : {},"aka" : ["OrbitPerms"]},{"name" : "OrbitPowerMaps","type" : "GAP_Function","location" : {},"aka" : ["OrbitPowerMaps"]},{"name" : "OrbitRepresentativesCharacters","type" : "GAP_Function","location" : {},"aka" : ["OrbitRepresentativesCharacters"]},{"name" : "OrbitShortVectors","type" : "GAP_Function","location" : {},"aka" : ["OrbitShortVectors"]},{"name" : "OrbitSplit","type" : "GAP_Function","location" : {},"aka" : ["OrbitSplit"]},{"name" : "OrbitStabChain","type" : "GAP_Function","location" : {},"aka" : ["OrbitStabChain"]},{"name" : "OrbitalPartition","type" : "GAP_Function","location" : {},"aka" : ["OrbitalPartition"]},{"name" : "OrbitsCharacters","type" : "GAP_Function","location" : {},"aka" : ["OrbitsCharacters"]},{"name" : "OrbitsPartition","type" : "GAP_Function","location" : {},"aka" : ["OrbitsPartition"]},{"name" : "OrbitsPerms","type" : "GAP_Function","location" : {},"aka" : ["OrbitsPerms"]},{"name" : "OrbitsRepsAndStabsVectorsMultistage","type" : "GAP_Function","location" : {},"aka" : ["OrbitsRepsAndStabsVectorsMultistage"]},{"name" : "OrderKnownDividendList","type" : "GAP_Function","location" : {},"aka" : ["OrderKnownDividendList"]},{"name" : "OrderMatTrial","type" : "GAP_Function","location" : {},"aka" : ["OrderMatTrial"]},{"name" : "OrderMod","type" : "GAP_Function","location" : {},"aka" : ["OrderMod"]},{"name" : "OrderModK","type" : "GAP_Function","location" : {},"aka" : ["OrderModK"]},{"name" : "OrderedPartitions","type" : "GAP_Function","location" : {},"aka" : ["OrderedPartitions"]},{"name" : "OriginalPositionDocument","type" : "GAP_Function","location" : {},"aka" : ["OriginalPositionDocument"]},{"name" : "OrthogonalComponents","type" : "GAP_Function","location" : {},"aka" : ["OrthogonalComponents"]},{"name" : "OrthogonalEmbeddings","type" : "GAP_Function","location" : {},"aka" : ["OrthogonalEmbeddings"]},{"name" : "OrthogonalEmbeddingsSpecialDimension","type" : "GAP_Function","location" : {},"aka" : ["OrthogonalEmbeddingsSpecialDimension"]},{"name" : "OutputTextNone","type" : "GAP_Function","location" : {},"aka" : ["OutputTextNone"]},{"name" : "OutputTextUser","type" : "GAP_Function","location" : {},"aka" : ["OutputTextUser"]},{"name" : "PBIsMinimal","type" : "GAP_Function","location" : {},"aka" : ["PBIsMinimal"]},{"name" : "PQuotient","type" : "GAP_Function","location" : {},"aka" : ["PQuotient"]},{"name" : "PackageAvailabilityInfo","type" : "GAP_Function","location" : {},"aka" : ["PackageAvailabilityInfo"]},{"name" : "PackageInfo","type" : "GAP_Function","location" : {},"aka" : ["PackageInfo"]},{"name" : "PackageVariablesInfo","type" : "GAP_Function","location" : {},"aka" : ["PackageVariablesInfo"]},{"name" : "PadicCoefficients","type" : "GAP_Function","location" : {},"aka" : ["PadicCoefficients"]},{"name" : "PadicExtensionNumberFamily","type" : "GAP_Function","location" : {},"aka" : ["PadicExtensionNumberFamily"]},{"name" : "Page","type" : "GAP_Function","location" : {},"aka" : ["Page"]},{"name" : "PageDisplay","type" : "GAP_Function","location" : {},"aka" : ["PageDisplay"]},{"name" : "Pager","type" : "GAP_Function","location" : {},"aka" : ["Pager"]},{"name" : "ParListWorker","type" : "GAP_Function","location" : {},"aka" : ["ParListWorker"]},{"name" : "ParMapReduceWorker","type" : "GAP_Function","location" : {},"aka" : ["ParMapReduceWorker"]},{"name" : "Parametrized","type" : "GAP_Function","location" : {},"aka" : ["Parametrized"]},{"name" : "ParityPol","type" : "GAP_Function","location" : {},"aka" : ["ParityPol"]},{"name" : "ParseBibFiles","type" : "GAP_Function","location" : {},"aka" : ["ParseBibFiles"]},{"name" : "ParseBibStrings","type" : "GAP_Function","location" : {},"aka" : ["ParseBibStrings"]},{"name" : "ParseBibXMLextFiles","type" : "GAP_Function","location" : {},"aka" : ["ParseBibXMLextFiles"]},{"name" : "ParseBibXMLextString","type" : "GAP_Function","location" : {},"aka" : ["ParseBibXMLextString"]},{"name" : "ParseRelators","type" : "GAP_Function","location" : {},"aka" : ["ParseRelators"]},{"name" : "ParseTestFile","type" : "GAP_Function","location" : {},"aka" : ["ParseTestFile"]},{"name" : "ParseTestInput","type" : "GAP_Function","location" : {},"aka" : ["ParseTestInput"]},{"name" : "ParseTreeXMLFile","type" : "GAP_Function","location" : {},"aka" : ["ParseTreeXMLFile"]},{"name" : "ParseTreeXMLString","type" : "GAP_Function","location" : {},"aka" : ["ParseTreeXMLString"]},{"name" : "PartialOrderByOrderingFunction","type" : "GAP_Function","location" : {},"aka" : ["PartialOrderByOrderingFunction"]},{"name" : "PartialPerm","type" : "GAP_Function","location" : {},"aka" : ["PartialPerm"]},{"name" : "PartialPermNC","type" : "GAP_Function","location" : {},"aka" : ["PartialPermNC"]},{"name" : "Partition","type" : "GAP_Function","location" : {},"aka" : ["Partition"]},{"name" : "PartitionBacktrack","type" : "GAP_Function","location" : {},"aka" : ["PartitionBacktrack"]},{"name" : "PartitionSortedPoints","type" : "GAP_Function","location" : {},"aka" : ["PartitionSortedPoints"]},{"name" : "PartitionStabilizerPermGroup","type" : "GAP_Function","location" : {},"aka" : ["PartitionStabiliserPermGroup","PartitionStabilizerPermGroup"]},{"name" : "PartitionTuples","type" : "GAP_Function","location" : {},"aka" : ["PartitionTuples"]},{"name" : "Partitions","type" : "GAP_Function","location" : {},"aka" : ["Partitions"]},{"name" : "PartitionsGreatestEQ","type" : "GAP_Function","location" : {},"aka" : ["PartitionsGreatestEQ"]},{"name" : "PartitionsGreatestLE","type" : "GAP_Function","location" : {},"aka" : ["PartitionsGreatestLE"]},{"name" : "PartitionsRecursively","type" : "GAP_Function","location" : {},"aka" : ["PartitionsRecursively"]},{"name" : "PartitionsSet","type" : "GAP_Function","location" : {},"aka" : ["PartitionsSet"]},{"name" : "PcElementByExponents","type" : "GAP_Function","location" : {},"aka" : ["PcElementByExponents"]},{"name" : "PcGroupCode","type" : "GAP_Function","location" : {},"aka" : ["PcGroupCode"]},{"name" : "PcGroupCodeRec","type" : "GAP_Function","location" : {},"aka" : ["PcGroupCodeRec"]},{"name" : "PcGroupFpGroup","type" : "GAP_Function","location" : {},"aka" : ["PcGroupFpGroup"]},{"name" : "PcGroupFpGroupNC","type" : "GAP_Function","location" : {},"aka" : ["PcGroupFpGroupNC"]},{"name" : "PcgsByIndependentGeneratorsOfAbelianGroup","type" : "GAP_Function","location" : {},"aka" : ["PcgsByIndependentGeneratorsOfAbelianGroup"]},{"name" : "PcgsByPcgs","type" : "GAP_Function","location" : {},"aka" : ["PcgsByPcgs"]},{"name" : "PcgsDirectProduct","type" : "GAP_Function","location" : {},"aka" : ["PcgsDirectProduct"]},{"name" : "PcgsMemberPcSeriesPermGroup","type" : "GAP_Function","location" : {}},{"name" : "PcgsStabChainSeries","type" : "GAP_Function","location" : {},"aka" : ["PcgsStabChainSeries"]},{"name" : "Pcgs_OrbitStabilizer","type" : "GAP_Function","location" : {},"aka" : ["Pcgs_OrbitStabiliser","Pcgs_OrbitStabilizer"]},{"name" : "Pcgs_OrbitStabilizer_Blist","type" : "GAP_Function","location" : {},"aka" : ["Pcgs_OrbitStabiliser_Blist","Pcgs_OrbitStabilizer_Blist"]},{"name" : "Pcs_OrbitStabilizer","type" : "GAP_Function","location" : {},"aka" : ["Pcs_OrbitStabiliser","Pcs_OrbitStabilizer"]},{"name" : "PerfGrpLoad","type" : "GAP_Function","location" : {},"aka" : ["PerfGrpLoad"]},{"name" : "PerfectCSPG","type" : "GAP_Function","location" : {},"aka" : ["PerfectCSPG"]},{"name" : "PerfectGroup","type" : "GAP_Function","location" : {},"aka" : ["PerfectGroup"]},{"name" : "Perform","type" : "GAP_Function","location" : {},"aka" : ["Perform"]},{"name" : "PermBounds","type" : "GAP_Function","location" : {},"aka" : ["PermBounds"]},{"name" : "PermCandidates","type" : "GAP_Function","location" : {},"aka" : ["PermCandidates"]},{"name" : "PermCandidatesFaithful","type" : "GAP_Function","location" : {},"aka" : ["PermCandidatesFaithful"]},{"name" : "PermCharInfo","type" : "GAP_Function","location" : {},"aka" : ["PermCharInfo"]},{"name" : "PermCharInfoRelative","type" : "GAP_Function","location" : {},"aka" : ["PermCharInfoRelative"]},{"name" : "PermChars","type" : "GAP_Function","location" : {},"aka" : ["PermChars"]},{"name" : "PermComb","type" : "GAP_Function","location" : {},"aka" : ["PermComb"]},{"name" : "PermListList","type" : "GAP_Function","location" : {},"aka" : ["PermListList"]},{"name" : "PermPreConjtestGroups","type" : "GAP_Function","location" : {},"aka" : ["PermPreConjtestGroups"]},{"name" : "PermliftSeries","type" : "GAP_Function","location" : {}},{"name" : "PermpcgsPcGroupPcgs","type" : "GAP_Function","location" : {},"aka" : ["PermpcgsPcGroupPcgs"]},{"name" : "Permut","type" : "GAP_Function","location" : {},"aka" : ["Permut"]},{"name" : "Permutation","type" : "GAP_Function","location" : {},"aka" : ["Permutation"]},{"name" : "PermutationCycle","type" : "GAP_Function","location" : {},"aka" : ["PermutationCycle"]},{"name" : "PermutationGModule","type" : "GAP_Function","location" : {},"aka" : ["PermutationGModule"]},{"name" : "PermutationMat","type" : "GAP_Function","location" : {},"aka" : ["PermutationMat"]},{"name" : "PermutationToSortCharacters","type" : "GAP_Function","location" : {},"aka" : ["PermutationToSortCharacters"]},{"name" : "PermutationToSortClasses","type" : "GAP_Function","location" : {},"aka" : ["PermutationToSortClasses"]},{"name" : "PermutationsList","type" : "GAP_Function","location" : {},"aka" : ["PermutationsList"]},{"name" : "Phi2","type" : "GAP_Function","location" : {},"aka" : ["Phi2"]},{"name" : "PlainListCopy","type" : "GAP_Function","location" : {},"aka" : ["PlainListCopy"]},{"name" : "PointInCellNo","type" : "GAP_Function","location" : {},"aka" : ["PointInCellNo"]},{"name" : "PolynomialByExtRep","type" : "GAP_Function","location" : {},"aka" : ["PolynomialByExtRep"]},{"name" : "PolynomialByExtRepNC","type" : "GAP_Function","location" : {},"aka" : ["PolynomialByExtRepNC"]},{"name" : "PolynomialDivisionAlgorithm","type" : "GAP_Function","location" : {},"aka" : ["PolynomialDivisionAlgorithm"]},{"name" : "PolynomialModP","type" : "GAP_Function","location" : {},"aka" : ["PolynomialModP"]},{"name" : "PolynomialReducedRemainder","type" : "GAP_Function","location" : {},"aka" : ["PolynomialReducedRemainder"]},{"name" : "PolynomialReduction","type" : "GAP_Function","location" : {},"aka" : ["PolynomialReduction"]},{"name" : "PopOptions","type" : "GAP_Function","location" : {},"aka" : ["PopOptions"]},{"name" : "PositionLinenumber","type" : "GAP_Function","location" : {},"aka" : ["PositionLinenumber"]},{"name" : "PositionMatchingDelimiter","type" : "GAP_Function","location" : {},"aka" : ["PositionMatchingDelimiter"]},{"name" : "PositionSet","type" : "GAP_Function","location" : {},"aka" : ["PositionSet"]},{"name" : "PositionSorted","type" : "GAP_Function","location" : {},"aka" : ["PositionSorted"]},{"name" : "Positions","type" : "GAP_Function","location" : {},"aka" : ["Positions"]},{"name" : "PowerDecompositions","type" : "GAP_Function","location" : {},"aka" : ["PowerDecompositions"]},{"name" : "PowerMapByComposition","type" : "GAP_Function","location" : {},"aka" : ["PowerMapByComposition"]},{"name" : "PowerMapOfGroupWithInvariants","type" : "GAP_Function","location" : {},"aka" : ["PowerMapOfGroupWithInvariants"]},{"name" : "PowerMapsAllowedBySymmetrizations","type" : "GAP_Function","location" : {},"aka" : ["PowerMapsAllowedBySymmetrisations","PowerMapsAllowedBySymmetrizations"]},{"name" : "PowerModEvalPol","type" : "GAP_Function","location" : {},"aka" : ["PowerModEvalPol"]},{"name" : "PowerModInt","type" : "GAP_Function","location" : {},"aka" : ["PowerModInt"]},{"name" : "PowerPartition","type" : "GAP_Function","location" : {},"aka" : ["PowerPartition"]},{"name" : "PowerPcgsElement","type" : "GAP_Function","location" : {},"aka" : ["PowerPcgsElement"]},{"name" : "PowerSi","type" : "GAP_Function","location" : {},"aka" : ["PowerSi"]},{"name" : "PowerWreath","type" : "GAP_Function","location" : {},"aka" : ["PowerWreath"]},{"name" : "PreImage","type" : "GAP_Function","location" : {},"aka" : ["PreImage"]},{"name" : "PreImageSetStabBlocksHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["PreImageSetStabBlocksHomomorphism"]},{"name" : "PreImageWord","type" : "GAP_Function","location" : {},"aka" : ["PreImageWord"]},{"name" : "PreImages","type" : "GAP_Function","location" : {},"aka" : ["PreImages"]},{"name" : "PresentationAugmentedCosetTable","type" : "GAP_Function","location" : {},"aka" : ["PresentationAugmentedCosetTable"]},{"name" : "PresentationFpGroup","type" : "GAP_Function","location" : {},"aka" : ["PresentationFpGroup"]},{"name" : "PresentationNormalClosureRrs","type" : "GAP_Function","location" : {},"aka" : ["PresentationNormalClosure","PresentationNormalClosureRrs"]},{"name" : "PresentationRegularPermutationGroup","type" : "GAP_Function","location" : {},"aka" : ["PresentationRegularPermutationGroup"]},{"name" : "PresentationRegularPermutationGroupNC","type" : "GAP_Function","location" : {},"aka" : ["PresentationRegularPermutationGroupNC"]},{"name" : "PresentationSubgroupMtc","type" : "GAP_Function","location" : {},"aka" : ["PresentationSubgroupMtc"]},{"name" : "PresentationSubgroupRrs","type" : "GAP_Function","location" : {},"aka" : ["PresentationSubgroup","PresentationSubgroupRrs"]},{"name" : "PresentationViaCosetTable","type" : "GAP_Function","location" : {},"aka" : ["PresentationViaCosetTable"]},{"name" : "PrevPrimeInt","type" : "GAP_Function","location" : {},"aka" : ["PrevPrimeInt"]},{"name" : "PrimalityProof","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof"]},{"name" : "PrimalityProof_FindFermat","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_FindFermat"]},{"name" : "PrimalityProof_FindLucas","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_FindLucas"]},{"name" : "PrimalityProof_FindStructure","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_FindStructure"]},{"name" : "PrimalityProof_Verify","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_Verify"]},{"name" : "PrimalityProof_VerifyStructure","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_VerifyStructure"]},{"name" : "PrimalityProof_VerifyWitness","type" : "GAP_Function","location" : {},"aka" : ["PrimalityProof_VerifyWitness"]},{"name" : "PrimePowersInt","type" : "GAP_Function","location" : {},"aka" : ["PrimePowersInt"]},{"name" : "PrimeResidues","type" : "GAP_Function","location" : {},"aka" : ["PrimeResidues"]},{"name" : "PrimitiveGroup","type" : "GAP_Function","location" : {},"aka" : ["PrimitiveGroup"]},{"name" : "PrimitiveGroupsIterator","type" : "GAP_Function","location" : {},"aka" : ["PrimitiveGroupsIterator"]},{"name" : "PrimitiveRootMod","type" : "GAP_Function","location" : {},"aka" : ["PrimitiveRootMod"]},{"name" : "PrintAmbiguity","type" : "GAP_Function","location" : {},"aka" : ["PrintAmbiguity"]},{"name" : "PrintArray","type" : "GAP_Function","location" : {}},{"name" : "PrintBibAsBib","type" : "GAP_Function","location" : {},"aka" : ["PrintBibAsBib"]},{"name" : "PrintBibAsHTML","type" : "GAP_Function","location" : {},"aka" : ["PrintBibAsHTML"]},{"name" : "PrintBibAsText","type" : "GAP_Function","location" : {},"aka" : ["PrintBibAsText"]},{"name" : "PrintCSV","type" : "GAP_Function","location" : {},"aka" : ["PrintCSV"]},{"name" : "PrintCharacterTable","type" : "GAP_Function","location" : {},"aka" : ["PrintCharacterTable"]},{"name" : "PrintFactorsInt","type" : "GAP_Function","location" : {},"aka" : ["PrintFactorsInt"]},{"name" : "PrintFormattedString","type" : "GAP_Function","location" : {},"aka" : ["PrintFormattedString"]},{"name" : "PrintGAPDocElementTemplates","type" : "GAP_Function","location" : {},"aka" : ["PrintGAPDocElementTemplates"]},{"name" : "PrintSixFile","type" : "GAP_Function","location" : {},"aka" : ["PrintSixFile"]},{"name" : "PrintTo1","type" : "GAP_Function","location" : {},"aka" : ["PrintTo1"]},{"name" : "ProbabilityShapes","type" : "GAP_Function","location" : {},"aka" : ["ProbabilityShapes"]},{"name" : "ProcessFixpoint","type" : "GAP_Function","location" : {},"aka" : ["ProcessFixpoint"]},{"name" : "ProdCoefRatfun","type" : "GAP_Function","location" : {},"aka" : ["ProdCoefRatfun"]},{"name" : "Product","type" : "GAP_Function","location" : {},"aka" : ["Product"]},{"name" : "ProductOfStraightLinePrograms","type" : "GAP_Function","location" : {},"aka" : ["ProductOfStraightLinePrograms"]},{"name" : "ProductRootsPol","type" : "GAP_Function","location" : {},"aka" : ["ProductRootsPol"]},{"name" : "ProductX","type" : "GAP_Function","location" : {},"aka" : ["ProductX"]},{"name" : "ProjectedInducedPcgs","type" : "GAP_Function","location" : {},"aka" : ["ProjectedInducedPcgs"]},{"name" : "ProjectedPcElement","type" : "GAP_Function","location" : {},"aka" : ["ProjectedPcElement"]},{"name" : "ProjectionMap","type" : "GAP_Function","location" : {},"aka" : ["ProjectionMap"]},{"name" : "ProjectiveActionHomomorphismMatrixGroup","type" : "GAP_Function","location" : {},"aka" : ["ProjectiveActionHomomorphismMatrixGroup"]},{"name" : "ProjectiveActionOnFullSpace","type" : "GAP_Function","location" : {},"aka" : ["ProjectiveActionOnFullSpace"]},{"name" : "ProjectiveCharDeg","type" : "GAP_Function","location" : {},"aka" : ["ProjectiveCharDeg"]},{"name" : "PullBackNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["PullBackNaturalHomomorphismsPool"]},{"name" : "PullbackCSPG","type" : "GAP_Function","location" : {},"aka" : ["PullbackCSPG"]},{"name" : "PullbackKernelCSPG","type" : "GAP_Function","location" : {},"aka" : ["PullbackKernelCSPG"]},{"name" : "PurePadicNumberFamily","type" : "GAP_Function","location" : {},"aka" : ["PurePadicNumberFamily"]},{"name" : "PushOptions","type" : "GAP_Function","location" : {},"aka" : ["PushOptions"]},{"name" : "Quadratic","type" : "GAP_Function","location" : {},"aka" : ["Quadratic"]},{"name" : "QuaternionAlgebra","type" : "GAP_Function","location" : {},"aka" : ["QuaternionAlgebra"]},{"name" : "QuickInverseRepresentative","type" : "GAP_Function","location" : {},"aka" : ["QuickInverseRepresentative"]},{"name" : "QuotRemLaurpols","type" : "GAP_Function","location" : {},"aka" : ["QuotRemLaurpols"]},{"name" : "QuotSysDefinitionByIndex","type" : "GAP_Function","location" : {},"aka" : ["QuotSysDefinitionByIndex"]},{"name" : "QuotSysIndexByDefinition","type" : "GAP_Function","location" : {},"aka" : ["QuotSysIndexByDefinition"]},{"name" : "QuotientFromSCTable","type" : "GAP_Function","location" : {},"aka" : ["QuotientFromSCTable"]},{"name" : "QuotientPolynomialsExtRep","type" : "GAP_Function","location" : {},"aka" : ["QuotientPolynomialsExtRep"]},{"name" : "RBaseGroupsBloxPermGroup","type" : "GAP_Function","location" : {},"aka" : ["RBaseGroupsBloxPermGroup"]},{"name" : "RECORDS_FILE","type" : "GAP_Function","location" : {},"aka" : ["RECORDS_FILE"]},{"name" : "RMSElement","type" : "GAP_Function","location" : {},"aka" : ["RMSElement","ReesMatrixSemigroupElement","ReesZeroMatrixSemigroupElement"]},{"name" : "RRefine","type" : "GAP_Function","location" : {},"aka" : ["RRefine"]},{"name" : "RandomBinaryRelationOnPoints","type" : "GAP_Function","location" : {},"aka" : ["RandomBinaryRelationOnPoints"]},{"name" : "RandomElmAsWord","type" : "GAP_Function","location" : {},"aka" : ["RandomElmAsWord"]},{"name" : "RandomInvertibleMat","type" : "GAP_Function","location" : {},"aka" : ["RandomInvertibleMat"]},{"name" : "RandomIsomorphismTest","type" : "GAP_Function","location" : {},"aka" : ["RandomIsomorphismTest"]},{"name" : "RandomList","type" : "GAP_Function","location" : {}},{"name" : "RandomMat","type" : "GAP_Function","location" : {},"aka" : ["RandomMat"]},{"name" : "RandomPartialPerm","type" : "GAP_Function","location" : {},"aka" : ["RandomPartialPerm"]},{"name" : "RandomPol","type" : "GAP_Function","location" : {},"aka" : ["RandomPol"]},{"name" : "RandomPrimitivePolynomial","type" : "GAP_Function","location" : {},"aka" : ["RandomPrimitivePolynomial"]},{"name" : "RandomSpecialPcgsCoded","type" : "GAP_Function","location" : {},"aka" : ["RandomSpecialPcgsCoded"]},{"name" : "RandomUnimodularMat","type" : "GAP_Function","location" : {},"aka" : ["RandomUnimodularMat"]},{"name" : "RatClasPElmArrangeClasses","type" : "GAP_Function","location" : {},"aka" : ["RatClasPElmArrangeClasses"]},{"name" : "RationalClassesInEANS","type" : "GAP_Function","location" : {},"aka" : ["RationalClassesInEANS"]},{"name" : "RationalClassesPElements","type" : "GAP_Function","location" : {},"aka" : ["RationalClassesPElements"]},{"name" : "RationalClassesPermGroup","type" : "GAP_Function","location" : {},"aka" : ["RationalClassesPermGroup"]},{"name" : "RationalClassesSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["RationalClassesSolubleGroup","RationalClassesSolvableGroup"]},{"name" : "RationalClassesTry","type" : "GAP_Function","location" : {},"aka" : ["RationalClassesTry"]},{"name" : "RationalFunctionByExtRep","type" : "GAP_Function","location" : {},"aka" : ["RationalFunctionByExtRep"]},{"name" : "RationalFunctionByExtRepNC","type" : "GAP_Function","location" : {},"aka" : ["RationalFunctionByExtRepNC"]},{"name" : "RationalFunctionByExtRepWithCancellation","type" : "GAP_Function","location" : {},"aka" : ["RationalFunctionByExtRepWithCancellation"]},{"name" : "ReadCSV","type" : "GAP_Function","location" : {},"aka" : ["ReadCSV"]},{"name" : "ReadPackage","type" : "GAP_Function","location" : {},"aka" : ["ReadPackage","ReadPkg"]},{"name" : "ReadTestExamplesString","type" : "GAP_Function","location" : {},"aka" : ["ReadTestExamplesString"]},{"name" : "ReadWeb","type" : "GAP_Function","location" : {},"aka" : ["ReadWeb"]},{"name" : "RealizableBrauerCharacters","type" : "GAP_Function","location" : {},"aka" : ["RealizableBrauerCharacters"]},{"name" : "RecBibXMLEntry","type" : "GAP_Function","location" : {},"aka" : ["RecBibXMLEntry"]},{"name" : "ReduceLetterRepWordsRewSys","type" : "GAP_Function","location" : {},"aka" : ["ReduceLetterRepWordsRewSys"]},{"name" : "ReduceStabChain","type" : "GAP_Function","location" : {},"aka" : ["ReduceStabChain"]},{"name" : "ReduceWordUsingRewritingSystem","type" : "GAP_Function","location" : {},"aka" : ["ReduceWordUsingRewritingSystem"]},{"name" : "ReducedByIsomorphisms","type" : "GAP_Function","location" : {},"aka" : ["ReducedByIsomorphisms"]},{"name" : "ReducedPermdegree","type" : "GAP_Function","location" : {},"aka" : ["ReducedPermdegree"]},{"name" : "ReducedRrsWord","type" : "GAP_Function","location" : {},"aka" : ["ReducedRrsWord"]},{"name" : "ReducedSCTable","type" : "GAP_Function","location" : {},"aka" : ["ReducedSCTable"]},{"name" : "ReductionToFiniteField","type" : "GAP_Function","location" : {},"aka" : ["ReductionToFiniteField"]},{"name" : "ReesMatrixSubsemigroupNC","type" : "GAP_Function","location" : {},"aka" : ["ReesMatrixSubsemigroupNC"]},{"name" : "ReesZeroMatrixSubsemigroupNC","type" : "GAP_Function","location" : {},"aka" : ["ReesZeroMatrixSubsemigroupNC"]},{"name" : "RefinedChain","type" : "GAP_Function","location" : {},"aka" : ["RefinedChain"]},{"name" : "RefinedSymmetrizations","type" : "GAP_Function","location" : {},"aka" : ["RefinedSymmetrisations","RefinedSymmetrizations"]},{"name" : "Refinements_Centralizer","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Centralizer"]},{"name" : "Refinements_Intersection","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Intersection"]},{"name" : "Refinements_ProcessFixpoint","type" : "GAP_Function","location" : {},"aka" : ["Refinements_ProcessFixpoint"]},{"name" : "Refinements_RegularOrbit2","type" : "GAP_Function","location" : {},"aka" : ["Refinements_RegularOrbit2"]},{"name" : "Refinements_RegularOrbit3","type" : "GAP_Function","location" : {},"aka" : ["Refinements_RegularOrbit3"]},{"name" : "Refinements_SplitOffBlock","type" : "GAP_Function","location" : {},"aka" : ["Refinements_SplitOffBlock"]},{"name" : "Refinements_Suborbits0","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Suborbits0"]},{"name" : "Refinements_Suborbits1","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Suborbits1"]},{"name" : "Refinements_Suborbits2","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Suborbits2"]},{"name" : "Refinements_Suborbits3","type" : "GAP_Function","location" : {},"aka" : ["Refinements_Suborbits3"]},{"name" : "Refinements_TwoClosure","type" : "GAP_Function","location" : {},"aka" : ["Refinements_TwoClosure"]},{"name" : "Refinements__MakeBlox","type" : "GAP_Function","location" : {},"aka" : ["Refinements__MakeBlox"]},{"name" : "Refinements__RegularOrbit1","type" : "GAP_Function","location" : {},"aka" : ["Refinements__RegularOrbit1"]},{"name" : "ReflectionMat","type" : "GAP_Function","location" : {},"aka" : ["ReflectionMat"]},{"name" : "RegisterRBasePoint","type" : "GAP_Function","location" : {},"aka" : ["RegisterRBasePoint"]},{"name" : "RegularModuleByGens","type" : "GAP_Function","location" : {},"aka" : ["RegularModuleByGens"]},{"name" : "RegularNinKernelCSPG","type" : "GAP_Function","location" : {},"aka" : ["RegularNinKernelCSPG"]},{"name" : "RelatorFixedMultiplier","type" : "GAP_Function","location" : {},"aka" : ["RelatorFixedMultiplier"]},{"name" : "RelatorMatrixAbelianizedNormalClosureRrs","type" : "GAP_Function","location" : {},"aka" : ["RelatorMatrixAbelianizedNormalClosure","RelatorMatrixAbelianizedNormalClosureRrs"]},{"name" : "RelatorMatrixAbelianizedSubgroupMtc","type" : "GAP_Function","location" : {},"aka" : ["RelatorMatrixAbelianizedSubgroupMtc"]},{"name" : "RelatorMatrixAbelianizedSubgroupRrs","type" : "GAP_Function","location" : {},"aka" : ["RelatorMatrixAbelianizedSubgroup","RelatorMatrixAbelianizedSubgroupRrs"]},{"name" : "RelatorRepresentatives","type" : "GAP_Function","location" : {},"aka" : ["RelatorRepresentatives"]},{"name" : "RelatorsPermGroupHom","type" : "GAP_Function","location" : {},"aka" : ["RelatorsPermGroupHom"]},{"name" : "RelsSortedByStartGen","type" : "GAP_Function","location" : {},"aka" : ["RelsSortedByStartGen"]},{"name" : "RelsViaCosetTable","type" : "GAP_Function","location" : {},"aka" : ["RelsViaCosetTable"]},{"name" : "RemoveCharacters","type" : "GAP_Function","location" : {},"aka" : ["RemoveCharacters"]},{"name" : "RemoveDirectoryRecursively","type" : "GAP_Function","location" : {},"aka" : ["RemoveDirectoryRecursively"]},{"name" : "RemoveRelator","type" : "GAP_Function","location" : {},"aka" : ["RemoveRelator"]},{"name" : "RemoveRootParseTree","type" : "GAP_Function","location" : {},"aka" : ["RemoveRootParseTree"]},{"name" : "RemoveStabChain","type" : "GAP_Function","location" : {},"aka" : ["RemoveStabChain"]},{"name" : "RenumberTree","type" : "GAP_Function","location" : {},"aka" : ["RenumberTree"]},{"name" : "RepOpElmTuplesPermGroup","type" : "GAP_Function","location" : {},"aka" : ["RepOpElmTuplesPermGroup"]},{"name" : "RepOpSetsPermGroup","type" : "GAP_Function","location" : {},"aka" : ["RepOpSetsPermGroup"]},{"name" : "RepeatedString","type" : "GAP_Function","location" : {},"aka" : ["RepeatedString"]},{"name" : "RepeatedUTF8String","type" : "GAP_Function","location" : {},"aka" : ["RepeatedUTF8String"]},{"name" : "RepresentationsOfMatrix","type" : "GAP_Function","location" : {},"aka" : ["RepresentationsOfMatrix"]},{"name" : "RepresentationsPermutationIrreducibleCharacters","type" : "GAP_Function","location" : {},"aka" : ["RepresentationsPermutationIrreducibleCharacters"]},{"name" : "RepresentativeAction","type" : "GAP_Function","location" : {},"aka" : ["RepresentativeAction"]},{"name" : "RepresentativesFusions","type" : "GAP_Function","location" : {},"aka" : ["RepresentativesFusions"]},{"name" : "RepresentativesPowerMaps","type" : "GAP_Function","location" : {},"aka" : ["RepresentativesPowerMaps"]},{"name" : "RereadPackage","type" : "GAP_Function","location" : {},"aka" : ["RereadPackage"]},{"name" : "ResetOptionsStack","type" : "GAP_Function","location" : {},"aka" : ["ResetOptionsStack"]},{"name" : "RestrictOutputsOfSLP","type" : "GAP_Function","location" : {},"aka" : ["RestrictOutputsOfSLP"]},{"name" : "RestrictedLieAlgebraByStructureConstants","type" : "GAP_Function","location" : {},"aka" : ["RestrictedLieAlgebraByStructureConstants"]},{"name" : "RestrictedNiceMonomorphism","type" : "GAP_Function","location" : {},"aka" : ["RestrictedNiceMonomorphism"]},{"name" : "RestrictedPartitions","type" : "GAP_Function","location" : {},"aka" : ["RestrictedPartitions"]},{"name" : "Reversed","type" : "GAP_Function","location" : {},"aka" : ["Reversed"]},{"name" : "RewriteAbelianizedSubgroupRelators","type" : "GAP_Function","location" : {},"aka" : ["RewriteAbelianizedSubgroupRelators"]},{"name" : "RewriteStraightLineProgram","type" : "GAP_Function","location" : {},"aka" : ["RewriteStraightLineProgram"]},{"name" : "RewriteSubgroupRelators","type" : "GAP_Function","location" : {},"aka" : ["RewriteSubgroupRelators"]},{"name" : "RewriteWord","type" : "GAP_Function","location" : {},"aka" : ["RewriteWord"]},{"name" : "RightCosets","type" : "GAP_Function","location" : {},"aka" : ["RightCosets"]},{"name" : "RightIdeal","type" : "GAP_Function","location" : {},"aka" : ["RightIdeal"]},{"name" : "RightIdealNC","type" : "GAP_Function","location" : {},"aka" : ["RightIdealNC"]},{"name" : "RightMagmaCongruence","type" : "GAP_Function","location" : {},"aka" : ["RightMagmaCongruence"]},{"name" : "RightMagmaIdeal","type" : "GAP_Function","location" : {},"aka" : ["RightMagmaIdeal"]},{"name" : "Ring","type" : "GAP_Function","location" : {},"aka" : ["Ring"]},{"name" : "RingByStructureConstants","type" : "GAP_Function","location" : {},"aka" : ["RingByStructureConstants"]},{"name" : "RingHomomorphismByImages","type" : "GAP_Function","location" : {},"aka" : ["RingHomomorphismByImages"]},{"name" : "RingOfIntegralCyclotomics","type" : "GAP_Function","location" : {},"aka" : ["RingInt","RingOfIntegralCyclotomics"]},{"name" : "RingWithOne","type" : "GAP_Function","location" : {},"aka" : ["RingWithOne"]},{"name" : "RootBound","type" : "GAP_Function","location" : {},"aka" : ["RootBound"]},{"name" : "RootInt","type" : "GAP_Function","location" : {}},{"name" : "RootMod","type" : "GAP_Function","location" : {},"aka" : ["RootMod"]},{"name" : "RootsFloat","type" : "GAP_Function","location" : {},"aka" : ["RootsFloat"]},{"name" : "RootsMod","type" : "GAP_Function","location" : {},"aka" : ["RootsMod"]},{"name" : "RootsOfPolynomial","type" : "GAP_Function","location" : {},"aka" : ["RootsOfPolynomial"]},{"name" : "RootsOfUPol","type" : "GAP_Function","location" : {},"aka" : ["RootsOfUPol"]},{"name" : "RootsRepresentativeFFPol","type" : "GAP_Function","location" : {},"aka" : ["RootsRepresentativeFFPol"]},{"name" : "RootsUnityMod","type" : "GAP_Function","location" : {},"aka" : ["RootsUnityMod"]},{"name" : "RunExamples","type" : "GAP_Function","location" : {},"aka" : ["RunExamples"]},{"name" : "RunTests","type" : "GAP_Function","location" : {},"aka" : ["RunTests"]},{"name" : "SCMinSmaGens","type" : "GAP_Function","location" : {},"aka" : ["SCMinSmaGens"]},{"name" : "SCRExtend","type" : "GAP_Function","location" : {},"aka" : ["SCRExtend"]},{"name" : "SCRExtendRecord","type" : "GAP_Function","location" : {},"aka" : ["SCRExtendRecord"]},{"name" : "SCRMakeStabStrong","type" : "GAP_Function","location" : {},"aka" : ["SCRMakeStabStrong"]},{"name" : "SCRNotice","type" : "GAP_Function","location" : {},"aka" : ["SCRNotice"]},{"name" : "SCRRandomPerm","type" : "GAP_Function","location" : {},"aka" : ["SCRRandomPerm"]},{"name" : "SCRRandomString","type" : "GAP_Function","location" : {},"aka" : ["SCRRandomString"]},{"name" : "SCRRandomSubproduct","type" : "GAP_Function","location" : {},"aka" : ["SCRRandomSubproduct"]},{"name" : "SCRRestoredRecord","type" : "GAP_Function","location" : {},"aka" : ["SCRRestoredRecord"]},{"name" : "SCRSchTree","type" : "GAP_Function","location" : {},"aka" : ["SCRSchTree"]},{"name" : "SCRSift","type" : "GAP_Function","location" : {},"aka" : ["SCRSift"]},{"name" : "SCRStrongGenTest","type" : "GAP_Function","location" : {},"aka" : ["SCRStrongGenTest"]},{"name" : "SCRStrongGenTest2","type" : "GAP_Function","location" : {},"aka" : ["SCRStrongGenTest2"]},{"name" : "SIMPLE_STRING","type" : "GAP_Function","location" : {},"aka" : ["SIMPLE_STRING"]},{"name" : "SLPChangesSlots","type" : "GAP_Function","location" : {},"aka" : ["SLPChangesSlots"]},{"name" : "SLPOfElm","type" : "GAP_Function","location" : {},"aka" : ["SLPOfElm"]},{"name" : "SLPOfElms","type" : "GAP_Function","location" : {},"aka" : ["SLPOfElms"]},{"name" : "SLPOnlyNeededLinesBackward","type" : "GAP_Function","location" : {},"aka" : ["SLPOnlyNeededLinesBackward"]},{"name" : "SLPReversedRenumbered","type" : "GAP_Function","location" : {},"aka" : ["SLPReversedRenumbered"]},{"name" : "SMALL_AVAILABLE","type" : "GAP_Function","location" : {},"aka" : ["SMALL_AVAILABLE"]},{"name" : "SNFofREF","type" : "GAP_Function","location" : {},"aka" : ["SNFofREF"]},{"name" : "SameBlock","type" : "GAP_Function","location" : {},"aka" : ["SameBlock"]},{"name" : "SchuMu","type" : "GAP_Function","location" : {},"aka" : ["SchuMu"]},{"name" : "SearchMR","type" : "GAP_Function","location" : {},"aka" : ["SearchMR"]},{"name" : "SearchMRBib","type" : "GAP_Function","location" : {},"aka" : ["SearchMRBib"]},{"name" : "SecHMSM","type" : "GAP_Function","location" : {},"aka" : ["SecHMSM"]},{"name" : "SecondaryGeneratorWordsAugmentedCosetTable","type" : "GAP_Function","location" : {},"aka" : ["SecondaryGeneratorWordsAugmentedCosetTable"]},{"name" : "SecondaryImagesAugmentedCosetTable","type" : "GAP_Function","location" : {},"aka" : ["SecondaryImagesAugmentedCosetTable"]},{"name" : "SecondsDMYhms","type" : "GAP_Function","location" : {},"aka" : ["SecondsDMYhms"]},{"name" : "SelectSmallGroups","type" : "GAP_Function","location" : {},"aka" : ["SelectSmallGroups"]},{"name" : "SemiEchelonMatsNoCo","type" : "GAP_Function","location" : {},"aka" : ["SemiEchelonMatsNoCo"]},{"name" : "Semigroup","type" : "GAP_Function","location" : {},"aka" : ["Semigroup"]},{"name" : "SemigroupByMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["SemigroupByMultiplicationTable"]},{"name" : "Semiring","type" : "GAP_Function","location" : {},"aka" : ["Semiring"]},{"name" : "SemiringWithOne","type" : "GAP_Function","location" : {},"aka" : ["SemiringWithOne"]},{"name" : "SemiringWithOneAndZero","type" : "GAP_Function","location" : {},"aka" : ["SemiringWithOneAndZero"]},{"name" : "SemiringWithZero","type" : "GAP_Function","location" : {},"aka" : ["SemiringWithZero"]},{"name" : "SetAssertionLevel","type" : "GAP_Function","location" : {},"aka" : ["SetAssertionLevel"]},{"name" : "SetCanonicalRepresentativeOfExternalOrbitByPcgs","type" : "GAP_Function","location" : {},"aka" : ["SetCanonicalRepresentativeOfExternalOrbitByPcgs"]},{"name" : "SetCrystGroupDefaultAction","type" : "GAP_Function","location" : {},"aka" : ["SetCrystGroupDefaultAction"]},{"name" : "SetDefaultInfoOutput","type" : "GAP_Function","location" : {},"aka" : ["SetDefaultInfoOutput"]},{"name" : "SetEntrySCTable","type" : "GAP_Function","location" : {},"aka" : ["SetEntrySCTable"]},{"name" : "SetExecutionObject","type" : "GAP_Function","location" : {},"aka" : ["SetExecutionObject"]},{"name" : "SetFloats","type" : "GAP_Function","location" : {},"aka" : ["SetFloats"]},{"name" : "SetGAPDocTextTheme","type" : "GAP_Function","location" : {},"aka" : ["SetGAPDocTextTheme"]},{"name" : "SetGapDocLanguage","type" : "GAP_Function","location" : {},"aka" : ["SetGapDocLanguage"]},{"name" : "SetGasmanMessageStatus","type" : "GAP_Function","location" : {},"aka" : ["SetGasmanMessageStatus"]},{"name" : "SetHelpViewer","type" : "GAP_Function","location" : {},"aka" : ["SetHelpViewer"]},{"name" : "SetInducedPcgs","type" : "GAP_Function","location" : {},"aka" : ["SetInducedPcgs"]},{"name" : "SetInfoHandler","type" : "GAP_Function","location" : {},"aka" : ["SetInfoHandler"]},{"name" : "SetInfoOutput","type" : "GAP_Function","location" : {},"aka" : ["SetInfoOutput"]},{"name" : "SetNameObject","type" : "GAP_Function","location" : {},"aka" : ["SetNameObject"]},{"name" : "SetPackageInfo","type" : "GAP_Function","location" : {},"aka" : ["SetPackageInfo"]},{"name" : "SetPackagePath","type" : "GAP_Function","location" : {},"aka" : ["SetPackagePath"]},{"name" : "SetReducedMultiplication","type" : "GAP_Function","location" : {},"aka" : ["SetReducedMultiplication"]},{"name" : "SetX","type" : "GAP_Function","location" : {},"aka" : ["SetX"]},{"name" : "ShortFileNameWindows","type" : "GAP_Function","location" : {},"aka" : ["ShortFileNameWindows"]},{"name" : "ShortestVectors","type" : "GAP_Function","location" : {},"aka" : ["ShortestVectors"]},{"name" : "ShowAdditionTable","type" : "GAP_Function","location" : {},"aka" : ["ShowAdditionTable"]},{"name" : "ShowGcd","type" : "GAP_Function","location" : {},"aka" : ["ShowGcd"]},{"name" : "ShowMultiplicationTable","type" : "GAP_Function","location" : {},"aka" : ["ShowMultiplicationTable"]},{"name" : "ShowPackageVariables","type" : "GAP_Function","location" : {},"aka" : ["ShowPackageVariables"]},{"name" : "SiftAsWord","type" : "GAP_Function","location" : {},"aka" : ["SiftAsWord"]},{"name" : "SiftedPermutation","type" : "GAP_Function","location" : {},"aka" : ["SiftedPermutation"]},{"name" : "SignInt","type" : "GAP_Function","location" : {},"aka" : ["SignInt"]},{"name" : "SignPartition","type" : "GAP_Function","location" : {},"aka" : ["SignPartition"]},{"name" : "SignPermGroup","type" : "GAP_Function","location" : {},"aka" : ["SignPermGroup"]},{"name" : "SimpleGroup","type" : "GAP_Function","location" : {},"aka" : ["SimpleGroup"]},{"name" : "SimpleGroupsIterator","type" : "GAP_Function","location" : {},"aka" : ["SimpleGroupsIterator"]},{"name" : "SimpleLieAlgebra","type" : "GAP_Function","location" : {},"aka" : ["SimpleLieAlgebra"]},{"name" : "SimplexMethod","type" : "GAP_Function","location" : {},"aka" : ["SimplexMethod"]},{"name" : "SimplifiedFpGroup","type" : "GAP_Function","location" : {},"aka" : ["SimplifiedFpGroup"]},{"name" : "SimplifiedUnicodeString","type" : "GAP_Function","location" : {},"aka" : ["SimplifiedUnicodeString"]},{"name" : "SimultaneousEigenvalues","type" : "GAP_Function","location" : {},"aka" : ["SimultaneousEigenvalues"]},{"name" : "SingleCollectorByRelators","type" : "GAP_Function","location" : {},"aka" : ["SingleCollectorByRelators"]},{"name" : "SingleHTTPRequest","type" : "GAP_Function","location" : {},"aka" : ["SingleHTTPRequest"]},{"name" : "SizeConsiderFunction","type" : "GAP_Function","location" : {},"aka" : ["SizeConsiderFunction"]},{"name" : "SizeGL","type" : "GAP_Function","location" : {},"aka" : ["SizeGL"]},{"name" : "SizeNumbersPerfectGroups","type" : "GAP_Function","location" : {},"aka" : ["SizeNumbersPerfectGroups"]},{"name" : "SizeOfFieldOfDefinition","type" : "GAP_Function","location" : {},"aka" : ["SizeOfFieldOfDefinition"]},{"name" : "SizeOfGLdZmodmZ","type" : "GAP_Function","location" : {},"aka" : ["SizeOfGLdZmodmZ"]},{"name" : "SizePSL","type" : "GAP_Function","location" : {},"aka" : ["SizePSL"]},{"name" : "SizeSL","type" : "GAP_Function","location" : {},"aka" : ["SizeSL"]},{"name" : "SizeStabChain","type" : "GAP_Function","location" : {},"aka" : ["SizeStabChain"]},{"name" : "SizesPerfectGroups","type" : "GAP_Function","location" : {},"aka" : ["SizesPerfectGroups"]},{"name" : "SmallGroup","type" : "GAP_Function","location" : {},"aka" : ["SmallGroup"]},{"name" : "SmallGroupsInformation","type" : "GAP_Function","location" : {},"aka" : ["SmallGroupsInformation"]},{"name" : "SmallRing","type" : "GAP_Function","location" : {},"aka" : ["SmallRing"]},{"name" : "SmallSimpleGroup","type" : "GAP_Function","location" : {},"aka" : ["SmallSimpleGroup"]},{"name" : "SmallerDegreePermutationRepresentation","type" : "GAP_Function","location" : {},"aka" : ["SmallerDegreePermutationRepresentation"]},{"name" : "SmallestPrimeDivisor","type" : "GAP_Function","location" : {},"aka" : ["SmallestPrimeDivisor"]},{"name" : "SmallestRootInt","type" : "GAP_Function","location" : {},"aka" : ["SmallestRootInt"]},{"name" : "SolutionSQ","type" : "GAP_Function","location" : {},"aka" : ["SolutionSQ"]},{"name" : "SolvableNormalClosurePermGroup","type" : "GAP_Function","location" : {},"aka" : ["SolubleNormalClosurePermGroup","SolvableNormalClosurePermGroup"]},{"name" : "SolvableQuotient","type" : "GAP_Function","location" : {},"aka" : ["SQ","SolubleQuotient","SolvableQuotient"]},{"name" : "SortFunctionWithMemory","type" : "GAP_Function","location" : {},"aka" : ["SortFunctionWithMemory"]},{"name" : "SortKeyRecBib","type" : "GAP_Function","location" : {},"aka" : ["SortKeyRecBib"]},{"name" : "SortRationalClasses","type" : "GAP_Function","location" : {},"aka" : ["SortRationalClasses"]},{"name" : "SortRelsSortedByStartGen","type" : "GAP_Function","location" : {},"aka" : ["SortRelsSortedByStartGen"]},{"name" : "SortedCharacterTable","type" : "GAP_Function","location" : {},"aka" : ["SortedCharacterTable"]},{"name" : "SpanningTree","type" : "GAP_Function","location" : {},"aka" : ["SpanningTree"]},{"name" : "SparseHashTable","type" : "GAP_Function","location" : {},"aka" : ["SparseHashTable"]},{"name" : "SpecializedExtRepPol","type" : "GAP_Function","location" : {},"aka" : ["SpecializedExtRepPol"]},{"name" : "SplitCell","type" : "GAP_Function","location" : {},"aka" : ["SplitCell"]},{"name" : "SplitCharacters","type" : "GAP_Function","location" : {},"aka" : ["SplitCharacters"]},{"name" : "SplitStep","type" : "GAP_Function","location" : {},"aka" : ["SplitStep"]},{"name" : "StabChain","type" : "GAP_Function","location" : {},"aka" : ["StabChain"]},{"name" : "StabChainBaseStrongGenerators","type" : "GAP_Function","location" : {},"aka" : ["StabChainBaseStrongGenerators"]},{"name" : "StabChainForcePoint","type" : "GAP_Function","location" : {},"aka" : ["StabChainForcePoint"]},{"name" : "StabChainPermGroupToPermGroupGeneralMappingByImages","type" : "GAP_Function","location" : {}},{"name" : "StabChainRandomPermGroup","type" : "GAP_Function","location" : {},"aka" : ["StabChainRandomPermGroup"]},{"name" : "StabChainStrong","type" : "GAP_Function","location" : {},"aka" : ["StabChainStrong"]},{"name" : "StabChainSwap","type" : "GAP_Function","location" : {},"aka" : ["StabChainSwap"]},{"name" : "Stabilizer","type" : "GAP_Function","location" : {},"aka" : ["Stabiliser","Stabilizer"]},{"name" : "StabilizerOfBlockNC","type" : "GAP_Function","location" : {},"aka" : ["StabiliserOfBlockNC","StabilizerOfBlockNC"]},{"name" : "StabilizerPcgs","type" : "GAP_Function","location" : {},"aka" : ["StabiliserPcgs","StabilizerPcgs"]},{"name" : "StandardGeneratorsOfFullMatrixModule","type" : "GAP_Function","location" : {}},{"name" : "StandardScalarProduct","type" : "GAP_Function","location" : {},"aka" : ["StandardScalarProduct"]},{"name" : "StandardizeTable","type" : "GAP_Function","location" : {},"aka" : ["StandardizeTable"]},{"name" : "StandardizeTable2","type" : "GAP_Function","location" : {},"aka" : ["StandardizeTable2"]},{"name" : "StarCyc","type" : "GAP_Function","location" : {},"aka" : ["StarCyc"]},{"name" : "StartsWith","type" : "GAP_Function","location" : {},"aka" : ["StartsWith"]},{"name" : "Stirling1","type" : "GAP_Function","location" : {},"aka" : ["Stirling1"]},{"name" : "Stirling2","type" : "GAP_Function","location" : {},"aka" : ["Stirling2"]},{"name" : "StoreFactorsPol","type" : "GAP_Function","location" : {},"aka" : ["StoreFactorsPol"]},{"name" : "StoreFusion","type" : "GAP_Function","location" : {},"aka" : ["StoreFusion"]},{"name" : "StoreInfoFreeMagma","type" : "GAP_Function","location" : {},"aka" : ["StoreInfoFreeMagma"]},{"name" : "StraightLineProgElm","type" : "GAP_Function","location" : {},"aka" : ["StraightLineProgElm"]},{"name" : "StraightLineProgGens","type" : "GAP_Function","location" : {},"aka" : ["StraightLineProgGens"]},{"name" : "StraightLineProgram","type" : "GAP_Function","location" : {},"aka" : ["StraightLineProgram"]},{"name" : "StraightLineProgramNC","type" : "GAP_Function","location" : {},"aka" : ["StraightLineProgramNC"]},{"name" : "StratMeetPartition","type" : "GAP_Function","location" : {},"aka" : ["StratMeetPartition"]},{"name" : "StringBase64","type" : "GAP_Function","location" : {},"aka" : ["StringBase64"]},{"name" : "StringBibAsBib","type" : "GAP_Function","location" : {},"aka" : ["StringBibAsBib"]},{"name" : "StringBibAsHTML","type" : "GAP_Function","location" : {},"aka" : ["StringBibAsHTML"]},{"name" : "StringBibAsText","type" : "GAP_Function","location" : {},"aka" : ["StringBibAsText"]},{"name" : "StringBibAsXMLext","type" : "GAP_Function","location" : {},"aka" : ["StringBibAsXMLext"]},{"name" : "StringBibXMLEntry","type" : "GAP_Function","location" : {},"aka" : ["StringBibXMLEntry"]},{"name" : "StringDate","type" : "GAP_Function","location" : {},"aka" : ["StringDate"]},{"name" : "StringFactorizationWord","type" : "GAP_Function","location" : {},"aka" : ["StringFactorizationWord"]},{"name" : "StringFile","type" : "GAP_Function","location" : {},"aka" : ["StringFile"]},{"name" : "StringNumbers","type" : "GAP_Function","location" : {},"aka" : ["StringNumbers"]},{"name" : "StringOfResultOfStraightLineProgram","type" : "GAP_Function","location" : {},"aka" : ["StringOfResultOfStraightLineProgram"]},{"name" : "StringPP","type" : "GAP_Function","location" : {},"aka" : ["StringPP"]},{"name" : "StringPrint","type" : "GAP_Function","location" : {},"aka" : ["StringPrint"]},{"name" : "StringStreamInputTextFile","type" : "GAP_Function","location" : {},"aka" : ["StringStreamInputTextFile"]},{"name" : "StringTime","type" : "GAP_Function","location" : {},"aka" : ["StringTime"]},{"name" : "StringToStraightLineProgram","type" : "GAP_Function","location" : {},"aka" : ["StringToStraightLineProgram"]},{"name" : "StringView","type" : "GAP_Function","location" : {},"aka" : ["StringView"]},{"name" : "StripBeginEnd","type" : "GAP_Function","location" : {},"aka" : ["StripBeginEnd"]},{"name" : "StripEscapeSequences","type" : "GAP_Function","location" : {},"aka" : ["StripEscapeSequences"]},{"name" : "StripLineBreakCharacters","type" : "GAP_Function","location" : {},"aka" : ["StripLineBreakCharacters"]},{"name" : "StripStabChain","type" : "GAP_Function","location" : {},"aka" : ["StripStabChain"]},{"name" : "StrongGeneratorsStabChain","type" : "GAP_Function","location" : {},"aka" : ["StrongGeneratorsStabChain"]},{"name" : "SubFLMLOR","type" : "GAP_Function","location" : {},"aka" : ["SubFLMLOR","Subalgebra"]},{"name" : "SubFLMLORNC","type" : "GAP_Function","location" : {},"aka" : ["SubFLMLORNC","SubalgebraNC"]},{"name" : "SubFLMLORWithOne","type" : "GAP_Function","location" : {},"aka" : ["SubFLMLORWithOne","SubalgebraWithOne"]},{"name" : "SubFLMLORWithOneNC","type" : "GAP_Function","location" : {},"aka" : ["SubFLMLORWithOneNC","SubalgebraWithOneNC"]},{"name" : "SubdirProdPcGroups","type" : "GAP_Function","location" : {},"aka" : ["SubdirProdPcGroups"]},{"name" : "SubdirectDiagonalPerms","type" : "GAP_Function","location" : {},"aka" : ["SubdirectDiagonalPerms"]},{"name" : "SubdirectProduct","type" : "GAP_Function","location" : {},"aka" : ["SubdirectProduct"]},{"name" : "SubdirectProducts","type" : "GAP_Function","location" : {},"aka" : ["SubdirectProducts"]},{"name" : "SubdirectSubgroups","type" : "GAP_Function","location" : {},"aka" : ["SubdirectSubgroups"]},{"name" : "Subfield","type" : "GAP_Function","location" : {},"aka" : ["Subfield"]},{"name" : "SubfieldNC","type" : "GAP_Function","location" : {},"aka" : ["SubfieldNC"]},{"name" : "SubgroupByFittingFreeData","type" : "GAP_Function","location" : {},"aka" : ["SubgroupByFittingFreeData"]},{"name" : "SubgroupByProperty","type" : "GAP_Function","location" : {},"aka" : ["SubgroupByProperty"]},{"name" : "SubgroupGeneratorsCosetTable","type" : "GAP_Function","location" : {},"aka" : ["SubgroupGeneratorsCosetTable"]},{"name" : "SubgroupOfWholeGroupByCosetTable","type" : "GAP_Function","location" : {},"aka" : ["SubgroupOfWholeGroupByCosetTable"]},{"name" : "SubgroupOfWholeGroupByQuotientSubgroup","type" : "GAP_Function","location" : {},"aka" : ["SubgroupOfWholeGroupByQuotientSubgroup"]},{"name" : "SubgroupProperty","type" : "GAP_Function","location" : {},"aka" : ["SubgroupProperty"]},{"name" : "SubgroupShell","type" : "GAP_Function","location" : {},"aka" : ["SubgroupShell"]},{"name" : "SubgroupsSolvableGroup","type" : "GAP_Function","location" : {},"aka" : ["SubgroupsSolubleGroup","SubgroupsSolvableGroup"]},{"name" : "SubgroupsTrivialFitting","type" : "GAP_Function","location" : {},"aka" : ["SubgroupsTrivialFitting"]},{"name" : "Submagma","type" : "GAP_Function","location" : {},"aka" : ["Submagma","Subsemigroup"]},{"name" : "SubmagmaNC","type" : "GAP_Function","location" : {},"aka" : ["SubmagmaNC","SubsemigroupNC"]},{"name" : "SubmagmaWithInverses","type" : "GAP_Function","location" : {},"aka" : ["Subgroup","SubmagmaWithInverses"]},{"name" : "SubmagmaWithInversesNC","type" : "GAP_Function","location" : {},"aka" : ["SubgroupNC","SubmagmaWithInversesNC"]},{"name" : "SubmagmaWithOne","type" : "GAP_Function","location" : {},"aka" : ["SubmagmaWithOne","Submonoid"]},{"name" : "SubmagmaWithOneNC","type" : "GAP_Function","location" : {},"aka" : ["SubmagmaWithOneNC","SubmonoidNC"]},{"name" : "Submodule","type" : "GAP_Function","location" : {},"aka" : ["Submodule","Subspace"]},{"name" : "SubmoduleNC","type" : "GAP_Function","location" : {},"aka" : ["SubmoduleNC","SubspaceNC"]},{"name" : "SubnearAdditiveGroup","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveGroup","SubadditiveMagmaWithInverses","SubnearAdditiveGroup","SubnearAdditiveMagmaWithInverses"]},{"name" : "SubnearAdditiveGroupNC","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveGroupNC","SubadditiveMagmaWithInversesNC","SubnearAdditiveGroupNC","SubnearAdditiveMagmaWithInversesNC"]},{"name" : "SubnearAdditiveMagma","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveMagma","SubnearAdditiveMagma"]},{"name" : "SubnearAdditiveMagmaNC","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveMagmaNC","SubnearAdditiveMagmaNC"]},{"name" : "SubnearAdditiveMagmaWithZero","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveMagmaWithZero","SubnearAdditiveMagmaWithZero"]},{"name" : "SubnearAdditiveMagmaWithZeroNC","type" : "GAP_Function","location" : {},"aka" : ["SubadditiveMagmaWithZeroNC","SubnearAdditiveMagmaWithZeroNC"]},{"name" : "SuboLiBli","type" : "GAP_Function","location" : {},"aka" : ["SuboLiBli"]},{"name" : "SuboSiBli","type" : "GAP_Function","location" : {},"aka" : ["SuboSiBli"]},{"name" : "SuboTruePos","type" : "GAP_Function","location" : {},"aka" : ["SuboTruePos"]},{"name" : "SuboUniteBlist","type" : "GAP_Function","location" : {},"aka" : ["SuboUniteBlist"]},{"name" : "Suborbits","type" : "GAP_Function","location" : {},"aka" : ["Suborbits"]},{"name" : "Subring","type" : "GAP_Function","location" : {},"aka" : ["Subring"]},{"name" : "SubringNC","type" : "GAP_Function","location" : {},"aka" : ["SubringNC"]},{"name" : "SubringWithOne","type" : "GAP_Function","location" : {},"aka" : ["SubringWithOne"]},{"name" : "SubringWithOneNC","type" : "GAP_Function","location" : {},"aka" : ["SubringWithOneNC"]},{"name" : "Subsemiring","type" : "GAP_Function","location" : {},"aka" : ["Subsemiring"]},{"name" : "SubsemiringNC","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringNC"]},{"name" : "SubsemiringWithOne","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithOne"]},{"name" : "SubsemiringWithOneAndZero","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithOneAndZero"]},{"name" : "SubsemiringWithOneAndZeroNC","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithOneAndZeroNC"]},{"name" : "SubsemiringWithOneNC","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithOneNC"]},{"name" : "SubsemiringWithZero","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithZero"]},{"name" : "SubsemiringWithZeroNC","type" : "GAP_Function","location" : {},"aka" : ["SubsemiringWithZeroNC"]},{"name" : "SubspaceVectorSpaceGroup","type" : "GAP_Function","location" : {},"aka" : ["SubspaceVectorSpaceGroup"]},{"name" : "SubstituteEscapeSequences","type" : "GAP_Function","location" : {},"aka" : ["SubstituteEscapeSequences"]},{"name" : "SubstitutionSublist","type" : "GAP_Function","location" : {},"aka" : ["SubstitutionSublist"]},{"name" : "SubtractBlistOrbitStabChain","type" : "GAP_Function","location" : {},"aka" : ["SubtractBlistOrbitStabChain"]},{"name" : "SufficientlySmallDegreeSimpleGroupOrder","type" : "GAP_Function","location" : {},"aka" : ["SufficientlySmallDegreeSimpleGroupOrder"]},{"name" : "SuggestUpgrades","type" : "GAP_Function","location" : {},"aka" : ["SuggestUpgrades"]},{"name" : "Sum","type" : "GAP_Function","location" : {},"aka" : ["Sum"]},{"name" : "SumCoefPolynomial","type" : "GAP_Function","location" : {},"aka" : ["SumCoefPolynomial"]},{"name" : "SumCoefRatfun","type" : "GAP_Function","location" : {},"aka" : ["SumCoefRatfun"]},{"name" : "SumRootsPol","type" : "GAP_Function","location" : {},"aka" : ["SumRootsPol"]},{"name" : "SumX","type" : "GAP_Function","location" : {},"aka" : ["SumX"]},{"name" : "SummandMolienSeries","type" : "GAP_Function","location" : {},"aka" : ["SummandMolienSeries"]},{"name" : "SupersolvableResiduumDefault","type" : "GAP_Function","location" : {},"aka" : ["SupersolvableResiduumDefault"]},{"name" : "SylowSubgroupPermGroup","type" : "GAP_Function","location" : {},"aka" : ["SylowSubgroupPermGroup"]},{"name" : "SymmetricParts","type" : "GAP_Function","location" : {},"aka" : ["SymmetricParts"]},{"name" : "SymplecticComponents","type" : "GAP_Function","location" : {},"aka" : ["SymplecticComponents"]},{"name" : "TFEvalRFHom","type" : "GAP_Function","location" : {},"aka" : ["TFEvalRFHom"]},{"name" : "TFMakeInducedPcgsModulo","type" : "GAP_Function","location" : {},"aka" : ["TFMakeInducedPcgsModulo"]},{"name" : "TYPE_MAT8BIT","type" : "GAP_Function","location" : {},"aka" : ["TYPE_MAT8BIT"]},{"name" : "TYPE_VEC8BIT","type" : "GAP_Function","location" : {},"aka" : ["TYPE_VEC8BIT"]},{"name" : "TYPE_VEC8BIT_LOCKED","type" : "GAP_Function","location" : {},"aka" : ["TYPE_VEC8BIT_LOCKED"]},{"name" : "TableOfMarksByLattice","type" : "GAP_Function","location" : {}},{"name" : "TailOfPcgsPermGroup","type" : "GAP_Function","location" : {},"aka" : ["TailOfPcgsPermGroup"]},{"name" : "TemplateBibXML","type" : "GAP_Function","location" : {},"aka" : ["TemplateBibXML"]},{"name" : "TemporaryGlobalVarName","type" : "GAP_Function","location" : {},"aka" : ["TemporaryGlobalVarName"]},{"name" : "TensorProduct","type" : "GAP_Function","location" : {},"aka" : ["TensorProduct"]},{"name" : "TensorProductGModule","type" : "GAP_Function","location" : {},"aka" : ["TensorProductGModule"]},{"name" : "TensorWreathProduct","type" : "GAP_Function","location" : {},"aka" : ["TensorWreathProduct"]},{"name" : "Test","type" : "GAP_Function","location" : {},"aka" : ["Test"]},{"name" : "TestConsistencyMaps","type" : "GAP_Function","location" : {},"aka" : ["TestConsistencyMaps"]},{"name" : "TestDirectory","type" : "GAP_Function","location" : {},"aka" : ["TestDirectory"]},{"name" : "TestExamplesString","type" : "GAP_Function","location" : {},"aka" : ["TestExamplesString"]},{"name" : "TestHomogeneous","type" : "GAP_Function","location" : {},"aka" : ["TestHomogeneous"]},{"name" : "TestInducedFromNormalSubgroup","type" : "GAP_Function","location" : {},"aka" : ["TestInducedFromNormalSubgroup"]},{"name" : "TestJacobi","type" : "GAP_Function","location" : {},"aka" : ["TestJacobi"]},{"name" : "TestManualExamples","type" : "GAP_Function","location" : {},"aka" : ["TestManualExamples"]},{"name" : "TestModulesFitTogether","type" : "GAP_Function","location" : {},"aka" : ["TestModulesFitTogether"]},{"name" : "TestPackage","type" : "GAP_Function","location" : {},"aka" : ["TestPackage"]},{"name" : "TestPackageAvailability","type" : "GAP_Function","location" : {},"aka" : ["TestPackageAvailability"]},{"name" : "TestPerm1","type" : "GAP_Function","location" : {},"aka" : ["TestPerm1"]},{"name" : "TestPerm2","type" : "GAP_Function","location" : {},"aka" : ["TestPerm2"]},{"name" : "TestPerm3","type" : "GAP_Function","location" : {},"aka" : ["TestPerm3"]},{"name" : "TestPerm4","type" : "GAP_Function","location" : {},"aka" : ["TestPerm4"]},{"name" : "TestPerm5","type" : "GAP_Function","location" : {},"aka" : ["TestPerm5"]},{"name" : "TextM","type" : "GAP_Function","location" : {},"aka" : ["TextM"]},{"name" : "TmpNameAllArchs","type" : "GAP_Function","location" : {},"aka" : ["TmpNameAllArchs"]},{"name" : "TomDataMaxesAlmostSimple","type" : "GAP_Function","location" : {},"aka" : ["TomDataMaxesAlmostSimple"]},{"name" : "TomDataSubgroupsAlmostSimple","type" : "GAP_Function","location" : {},"aka" : ["TomDataSubgroupsAlmostSimple"]},{"name" : "TraceModQF","type" : "GAP_Function","location" : {},"aka" : ["TraceModQF"]},{"name" : "TracedCosetFpGroup","type" : "GAP_Function","location" : {},"aka" : ["TracedCosetFpGroup"]},{"name" : "TransStabCSPG","type" : "GAP_Function","location" : {},"aka" : ["TransStabCSPG"]},{"name" : "TransferDiagram","type" : "GAP_Function","location" : {},"aka" : ["TransferDiagram"]},{"name" : "TransformationAction","type" : "GAP_Function","location" : {},"aka" : ["TransformationAction"]},{"name" : "TransformationActionHomomorphism","type" : "GAP_Function","location" : {},"aka" : ["TransformationActionHomomorphism"]},{"name" : "TransformationActionHomomorphismNC","type" : "GAP_Function","location" : {},"aka" : ["TransformationActionHomomorphismNC"]},{"name" : "TransformationActionNC","type" : "GAP_Function","location" : {},"aka" : ["TransformationActionNC"]},{"name" : "TransitiveGroup","type" : "GAP_Function","location" : {},"aka" : ["TransitiveGroup"]},{"name" : "TreeRepresentedWord","type" : "GAP_Function","location" : {},"aka" : ["TreeRepresentedWord"]},{"name" : "TrialQuotientRPF","type" : "GAP_Function","location" : {},"aka" : ["TrialQuotientRPF"]},{"name" : "TriangulizedGeneratorsByMatrix","type" : "GAP_Function","location" : {},"aka" : ["TriangulizedGeneratorsByMatrix"]},{"name" : "TrimStabChain","type" : "GAP_Function","location" : {},"aka" : ["TrimStabChain"]},{"name" : "TrivialGModule","type" : "GAP_Function","location" : {},"aka" : ["TrivialGModule"]},{"name" : "TrivialIterator","type" : "GAP_Function","location" : {},"aka" : ["TrivialIterator"]},{"name" : "TrivialModule","type" : "GAP_Function","location" : {},"aka" : ["TrivialModule"]},{"name" : "TrivialPartition","type" : "GAP_Function","location" : {},"aka" : ["TrivialPartition"]},{"name" : "TryCombinations","type" : "GAP_Function","location" : {},"aka" : ["TryCombinations"]},{"name" : "TryGcdCancelExtRepPolynomials","type" : "GAP_Function","location" : {},"aka" : ["TryGcdCancelExtRepPolynomials"]},{"name" : "TryLayerSQ","type" : "GAP_Function","location" : {},"aka" : ["TryLayerSQ"]},{"name" : "TryModuleSQ","type" : "GAP_Function","location" : {},"aka" : ["TryModuleSQ"]},{"name" : "TryPcgsPermGroup","type" : "GAP_Function","location" : {},"aka" : ["TryPcgsPermGroup"]},{"name" : "TrySecondaryImages","type" : "GAP_Function","location" : {},"aka" : ["TrySecondaryImages"]},{"name" : "Tschirnhausen","type" : "GAP_Function","location" : {},"aka" : ["Tschirnhausen"]},{"name" : "Tuples","type" : "GAP_Function","location" : {},"aka" : ["Tuples"]},{"name" : "TwoCoboundariesSQ","type" : "GAP_Function","location" : {},"aka" : ["TwoCoboundariesSQ"]},{"name" : "TwoCocyclesSQ","type" : "GAP_Function","location" : {},"aka" : ["TwoCocyclesSQ"]},{"name" : "TwoCohomologySQ","type" : "GAP_Function","location" : {},"aka" : ["TwoCohomologySQ"]},{"name" : "TwoSeqPol","type" : "GAP_Function","location" : {},"aka" : ["TwoSeqPol"]},{"name" : "TwoSidedIdeal","type" : "GAP_Function","location" : {},"aka" : ["Ideal","TwoSidedIdeal"]},{"name" : "TwoSidedIdealNC","type" : "GAP_Function","location" : {},"aka" : ["IdealNC","TwoSidedIdealNC"]},{"name" : "TwoSquares","type" : "GAP_Function","location" : {},"aka" : ["TwoSquares"]},{"name" : "TypeOfDefaultGeneralMapping","type" : "GAP_Function","location" : {},"aka" : ["TypeOfDefaultGeneralMapping"]},{"name" : "TzCheckRecord","type" : "GAP_Function","location" : {},"aka" : ["TzCheckRecord"]},{"name" : "TzEliminate","type" : "GAP_Function","location" : {},"aka" : ["TzEliminate"]},{"name" : "TzEliminateFromTree","type" : "GAP_Function","location" : {},"aka" : ["TzEliminateFromTree"]},{"name" : "TzEliminateGen","type" : "GAP_Function","location" : {},"aka" : ["TzEliminateGen"]},{"name" : "TzEliminateGen1","type" : "GAP_Function","location" : {},"aka" : ["TzEliminateGen1"]},{"name" : "TzEliminateGens","type" : "GAP_Function","location" : {},"aka" : ["TzEliminateGens"]},{"name" : "TzFindCyclicJoins","type" : "GAP_Function","location" : {},"aka" : ["TzFindCyclicJoins"]},{"name" : "TzGeneratorExponents","type" : "GAP_Function","location" : {},"aka" : ["TzGeneratorExponents"]},{"name" : "TzGo","type" : "GAP_Function","location" : {},"aka" : ["SimplifyPresentation","TzGo"]},{"name" : "TzGoGo","type" : "GAP_Function","location" : {},"aka" : ["TzGoGo"]},{"name" : "TzHandleLength1Or2Relators","type" : "GAP_Function","location" : {},"aka" : ["TzHandleLength1Or2Relators"]},{"name" : "TzImagesOldGens","type" : "GAP_Function","location" : {},"aka" : ["TzImagesOldGens"]},{"name" : "TzInitGeneratorImages","type" : "GAP_Function","location" : {},"aka" : ["TzInitGeneratorImages"]},{"name" : "TzMostFrequentPairs","type" : "GAP_Function","location" : {},"aka" : ["TzMostFrequentPairs"]},{"name" : "TzNewGenerator","type" : "GAP_Function","location" : {},"aka" : ["TzNewGenerator"]},{"name" : "TzPreImagesNewGens","type" : "GAP_Function","location" : {},"aka" : ["TzPreImagesNewGens"]},{"name" : "TzPrint","type" : "GAP_Function","location" : {},"aka" : ["TzPrint"]},{"name" : "TzPrintGeneratorImages","type" : "GAP_Function","location" : {},"aka" : ["TzPrintGeneratorImages"]},{"name" : "TzPrintGenerators","type" : "GAP_Function","location" : {},"aka" : ["TzPrintGenerators"]},{"name" : "TzPrintLengths","type" : "GAP_Function","location" : {},"aka" : ["TzPrintLengths"]},{"name" : "TzPrintOptions","type" : "GAP_Function","location" : {},"aka" : ["TzPrintOptions"]},{"name" : "TzPrintPairs","type" : "GAP_Function","location" : {},"aka" : ["TzPrintPairs"]},{"name" : "TzPrintPresentation","type" : "GAP_Function","location" : {},"aka" : ["TzPrintPresentation"]},{"name" : "TzPrintRelators","type" : "GAP_Function","location" : {},"aka" : ["TzPrintRelators"]},{"name" : "TzPrintStatus","type" : "GAP_Function","location" : {},"aka" : ["TzPrintStatus"]},{"name" : "TzRelator","type" : "GAP_Function","location" : {},"aka" : ["TzRelator"]},{"name" : "TzRemoveGenerators","type" : "GAP_Function","location" : {},"aka" : ["TzRemoveGenerators"]},{"name" : "TzSearch","type" : "GAP_Function","location" : {},"aka" : ["TzSearch"]},{"name" : "TzSearchEqual","type" : "GAP_Function","location" : {},"aka" : ["TzSearchEqual"]},{"name" : "TzSort","type" : "GAP_Function","location" : {},"aka" : ["TzSort"]},{"name" : "TzSubstitute","type" : "GAP_Function","location" : {},"aka" : ["TzSubstitute"]},{"name" : "TzSubstituteCyclicJoins","type" : "GAP_Function","location" : {},"aka" : ["TzSubstituteCyclicJoins"]},{"name" : "TzSubstituteWord","type" : "GAP_Function","location" : {},"aka" : ["TzSubstituteWord"]},{"name" : "TzUpdateGeneratorImages","type" : "GAP_Function","location" : {},"aka" : ["TzUpdateGeneratorImages"]},{"name" : "USER_HOME_EXPAND","type" : "GAP_Function","location" : {},"aka" : ["USER_HOME_EXPAND"]},{"name" : "UnInstallCharReadHookFunc","type" : "GAP_Function","location" : {},"aka" : ["UnInstallCharReadHookFunc"]},{"name" : "UnbindGlobal","type" : "GAP_Function","location" : {},"aka" : ["UnbindGlobal"]},{"name" : "UndoRefinement","type" : "GAP_Function","location" : {},"aka" : ["UndoRefinement"]},{"name" : "UnhideGlobalVariables","type" : "GAP_Function","location" : {},"aka" : ["UnhideGlobalVariables"]},{"name" : "Union","type" : "GAP_Function","location" : {},"aka" : ["Union"]},{"name" : "UnionBlist","type" : "GAP_Function","location" : {},"aka" : ["UnionBlist"]},{"name" : "UnionIfCanEasilySortElements","type" : "GAP_Function","location" : {},"aka" : ["UnionIfCanEasilySortElements"]},{"name" : "UnivariateRationalFunctionByExtRepNC","type" : "GAP_Function","location" : {},"aka" : ["UnivariateRationalFunctionByExtRep","UnivariateRationalFunctionByExtRepNC"]},{"name" : "UnivariatenessTestRationalFunction","type" : "GAP_Function","location" : {},"aka" : ["UnivariatenessTestRationalFunction"]},{"name" : "UnloadSmallGroupsData","type" : "GAP_Function","location" : {},"aka" : ["UnloadSmallGroupsData"]},{"name" : "UnlockNaturalHomomorphismsPool","type" : "GAP_Function","location" : {},"aka" : ["UnlockNaturalHomomorphismsPool"]},{"name" : "UnmarkObject","type" : "GAP_Function","location" : {},"aka" : ["UnmarkObject"]},{"name" : "UnorderedTuples","type" : "GAP_Function","location" : {},"aka" : ["UnorderedTuples"]},{"name" : "UnslicedPerm@","type" : "GAP_Function","location" : {},"aka" : ["UnslicedPerm@"]},{"name" : "UpdateMap","type" : "GAP_Function","location" : {},"aka" : ["UpdateMap"]},{"name" : "UppercaseString","type" : "GAP_Function","location" : {},"aka" : ["UppercaseString"]},{"name" : "UppercaseUnicodeString","type" : "GAP_Function","location" : {},"aka" : ["UppercaseUnicodeString"]},{"name" : "ValidatePackageInfo","type" : "GAP_Function","location" : {},"aka" : ["ValidatePackageInfo"]},{"name" : "ValueCochain","type" : "GAP_Function","location" : {},"aka" : ["ValueCochain"]},{"name" : "ValueGlobal","type" : "GAP_Function","location" : {},"aka" : ["ValueGlobal"]},{"name" : "ValueMolienSeries","type" : "GAP_Function","location" : {},"aka" : ["ValueMolienSeries"]},{"name" : "ValueOption","type" : "GAP_Function","location" : {},"aka" : ["ValueOption"]},{"name" : "VectorSearchTable","type" : "GAP_Function","location" : {},"aka" : ["VectorSearchTable"]},{"name" : "VectorSpace","type" : "GAP_Function","location" : {},"aka" : ["VectorSpace"]},{"name" : "VectorSpaceByPcgsOfElementaryAbelianGroup","type" : "GAP_Function","location" : {},"aka" : ["VectorSpaceByPcgsOfElementaryAbelianGroup"]},{"name" : "VerifySGS","type" : "GAP_Function","location" : {},"aka" : ["VerifySGS"]},{"name" : "VerifyStabilizer","type" : "GAP_Function","location" : {},"aka" : ["VerifyStabiliser","VerifyStabilizer"]},{"name" : "WedgeGModule","type" : "GAP_Function","location" : {},"aka" : ["WedgeGModule"]},{"name" : "WeekDay","type" : "GAP_Function","location" : {},"aka" : ["WeekDay"]},{"name" : "WidthUTF8String","type" : "GAP_Function","location" : {},"aka" : ["WidthUTF8String"]},{"name" : "WordAlp","type" : "GAP_Function","location" : {},"aka" : ["WordAlp"]},{"name" : "WordsString","type" : "GAP_Function","location" : {},"aka" : ["WordsString"]},{"name" : "WrapTextAttribute","type" : "GAP_Function","location" : {},"aka" : ["WrapTextAttribute"]},{"name" : "WreathActionChiefFactor","type" : "GAP_Function","location" : {},"aka" : ["WreathActionChiefFactor"]},{"name" : "WreathProductImprimitiveAction","type" : "GAP_Function","location" : {}},{"name" : "WreathProductProductAction","type" : "GAP_Function","location" : {},"aka" : ["WreathProductProductAction"]},{"name" : "WriteBibFile","type" : "GAP_Function","location" : {},"aka" : ["WriteBibFile"]},{"name" : "WriteBibXMLextFile","type" : "GAP_Function","location" : {},"aka" : ["WriteBibXMLextFile"]},{"name" : "XMLElements","type" : "GAP_Function","location" : {},"aka" : ["XMLElements"]},{"name" : "ZevData","type" : "GAP_Function","location" : {},"aka" : ["ZevData"]},{"name" : "ZevDataValue","type" : "GAP_Function","location" : {},"aka" : ["ZevDataValue"]},{"name" : "ZmodnZ","type" : "GAP_Function","location" : {},"aka" : ["ZmodnZ"]},{"name" : "ZmodnZeps","type" : "GAP_Function","location" : {},"aka" : ["ZmodnZeps"]},{"name" : "ZmodnZepsObj","type" : "GAP_Function","location" : {},"aka" : ["ZmodnZepsObj"]},{"name" : "ZmodpZ","type" : "GAP_Function","location" : {},"aka" : ["ZmodpZ"]},{"name" : "ZmodpZNC","type" : "GAP_Function","location" : {},"aka" : ["ZmodpZNC"]},{"name" : "ZumbroichBase","type" : "GAP_Function","location" : {},"aka" : ["ZumbroichBase"]},{"name" : "((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))","type" : "GAP_AndFilter","aka" : ["HasIsAdditiveGroupGeneralMapping"],"conjunction_of" : ["Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "(((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsAdditiveGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "((IsObject and Tester(TransformsAdditionIntoMultiplication)) and Tester(TransformsAdditiveInversesIntoInverses))","type" : "GAP_AndFilter","aka" : ["HasIsAdditiveGroupToGroupGeneralMapping"],"conjunction_of" : ["Tester(TransformsAdditionIntoMultiplication)","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(((IsObject and Tester(TransformsAdditionIntoMultiplication)) and Tester(TransformsAdditiveInversesIntoInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsAdditiveGroupToGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(TransformsAdditionIntoMultiplication)","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication)))","type" : "GAP_AndFilter","aka" : ["HasIsAlgebraGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsAlgebraHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and Tester(RespectsOne))","type" : "GAP_AndFilter","aka" : ["HasIsAlgebraWithOneGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and Tester(RespectsOne)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsAlgebraWithOneHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "(((Tester(IsSingleValued) and Tester(IsTotal)) and Tester(IsInjective)) and Tester(IsSurjective))","type" : "GAP_AndFilter","aka" : ["HasIsBijective"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(IsInjective)","Tester(IsSurjective)"]},{"name" : "(Tester(IsEndoGeneralMapping) and Tester(IsConjugatorIsomorphism))","type" : "GAP_AndFilter","aka" : ["HasIsConjugatorAutomorphism"],"conjunction_of" : ["Tester(IsEndoGeneralMapping)","Tester(IsConjugatorIsomorphism)"]},{"name" : "(Tester(IsLDistributive) and Tester(IsRDistributive))","type" : "GAP_AndFilter","aka" : ["HasIsDistributive"],"conjunction_of" : ["Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((((IsObject and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and ((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)) and IsObject)) and ((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing))) and Tester(IsNonTrivial)) and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsDivisionRing"],"conjunction_of" : ["Tester(IsNonTrivial)","Tester(IsLeftActedOnByDivisionRing)","Tester(IsAssociative)","Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(Tester(IsDuplicateFree) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsDuplicateFreeList"],"conjunction_of" : ["Tester(IsDuplicateFree)"]},{"name" : "(((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)) and Tester(IsEndoGeneralMapping))","type" : "GAP_AndFilter","aka" : ["HasIsEndoMapping"],"conjunction_of" : ["Tester(IsEndoGeneralMapping)","Tester(IsTotal)","Tester(IsSingleValued)"]},{"name" : "((((((IsObject and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and ((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)) and IsObject)) and ((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing))) and Tester(IsNonTrivial)) and Tester(IsAssociative)) and IsObject) and Tester(IsCommutative))","type" : "GAP_AndFilter","aka" : ["HasIsField"],"conjunction_of" : ["Tester(IsNonTrivial)","Tester(IsLeftActedOnByDivisionRing)","Tester(IsAssociative)","Tester(IsCommutative)","Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses))","type" : "GAP_AndFilter","aka" : ["HasIsGroupGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsInverses)"]},{"name" : "(((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsInverses)"]},{"name" : "((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses))","type" : "GAP_AndFilter","aka" : ["HasIsGroupToAdditiveGroupGeneralMapping"],"conjunction_of" : ["Tester(TransformsMultiplicationIntoAddition)","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsGroupToAdditiveGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(TransformsMultiplicationIntoAddition)","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsLeftModuleGeneralMapping"],"conjunction_of" : ["Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsLeftModuleHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing)) and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and (((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))) and IsObject)) and Tester(IsZeroSquaredRing)) and Tester(IsJacobianRing))","type" : "GAP_AndFilter","aka" : ["HasIsLieAlgebra"],"conjunction_of" : ["Tester(IsLeftActedOnByDivisionRing)","Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)","Tester(IsJacobianRing)","Tester(IsZeroSquaredRing)"]},{"name" : "(((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)) and Tester(RespectsMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsMagmaHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)"]},{"name" : "((IsObject and Tester(IsTotal)) and Tester(IsSingleValued))","type" : "GAP_AndFilter","aka" : ["HasIsMapping"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)"]},{"name" : "(IsObject and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsMonoid"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsNearRing"],"conjunction_of" : ["Tester(IsAssociative)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsNearRingWithOne"],"conjunction_of" : ["Tester(IsAssociative)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsReesMatrixSubsemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsReesZeroMatrixSubsemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsRing"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)))","type" : "GAP_AndFilter","aka" : ["HasIsRingGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsRingHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsRingWithOne"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne))","type" : "GAP_AndFilter","aka" : ["HasIsRingWithOneGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsRingWithOneHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "(IsObject and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(IsObject and Tester(RespectsMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroupGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)"]},{"name" : "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiring"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithOne"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithOneAndZero"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithZero"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsSubmonoidFpMonoid"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsSubsemigroupFpSemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(Tester(IsPolynomial) and Tester(IsUnivariateRationalFunction))","type" : "GAP_AndFilter","aka" : ["HasIsUnivariatePolynomial"],"conjunction_of" : ["Tester(IsPolynomial)","Tester(IsUnivariateRationalFunction)"]},{"name" : "(Tester(IsZero) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsZeroRationalFunction"],"conjunction_of" : ["Tester(IsZero)"]},{"name" : "(((IsANFAutomorphismRep and IsFieldHomomorphism) and ((IsGeneralMapping and IsTotal) and IsSingleValued)) and (((IsSingleValued and IsTotal) and IsInjective) and IsSurjective))","type" : "GAP_AndFilter","aka" : ["IsANFAutomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]},{"name" : "(CategoryCollections(IsAdditiveElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsAdditiveElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsAdditiveElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsAdditiveElement)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverse"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(IsNearAdditiveElementWithZero and IsAdditiveElement)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZero"],"conjunction_of" : ["IsNearAdditiveElementWithZero","IsAdditiveElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithZero) and CategoryCollections(IsAdditiveElement))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithZero) and CategoryCollections(IsAdditiveElement)) and IsList)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative))","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroup","IsAdditiveMagmaWithInverses"],"conjunction_of" : ["IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "(((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "((IsGeneralMapping and TransformsAdditionIntoMultiplication) and TransformsAdditiveInversesIntoInverses)","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroupToGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","TransformsAdditionIntoMultiplication","Tester(TransformsAdditionIntoMultiplication)","TransformsAdditiveInversesIntoInverses","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(((IsGeneralMapping and TransformsAdditionIntoMultiplication) and TransformsAdditiveInversesIntoInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroupToGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","TransformsAdditionIntoMultiplication","Tester(TransformsAdditionIntoMultiplication)","TransformsAdditiveInversesIntoInverses","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(IsNearAdditiveMagma and IsAdditivelyCommutative)","type" : "GAP_AndFilter","aka" : ["IsAdditiveMagma"],"conjunction_of" : ["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative))","type" : "GAP_AndFilter","aka" : ["IsAdditiveMagmaWithZero"],"conjunction_of" : ["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsAlgebra"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication))","type" : "GAP_AndFilter","aka" : ["IsAlgebraGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAlgebraHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne)","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOneGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOneHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(IsWord and IsAssociativeElement)","type" : "GAP_AndFilter","aka" : ["IsAssocWord"],"conjunction_of" : ["IsAssociativeElement","IsWord"]},{"name" : "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsAssocWordWithInverse","IsElementOfFreeGroup"],"conjunction_of" : ["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]},{"name" : "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsAssocWordWithOne"],"conjunction_of" : ["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord"]},{"name" : "(((IsSingleValued and IsTotal) and IsInjective) and IsSurjective)","type" : "GAP_AndFilter","aka" : ["IsBijective"],"conjunction_of" : ["IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)"]},{"name" : "(IsEndoGeneralMapping and IsConjugatorIsomorphism)","type" : "GAP_AndFilter","aka" : ["IsConjugatorAutomorphism"],"conjunction_of" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))","type" : "GAP_AndFilter","aka" : ["IsCyclotomicMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsLDistributive and IsRDistributive)","type" : "GAP_AndFilter","aka" : ["IsDistributive"],"conjunction_of" : ["IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing)","type" : "GAP_AndFilter","aka" : ["IsDivisionRing"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]},{"name" : "(IsGeneralizedDomain and IsCollection)","type" : "GAP_AndFilter","aka" : ["IsDomain"],"conjunction_of" : ["IsCollection","IsGeneralizedDomain"]},{"name" : "(IsCollection and IsDuplicateFree)","type" : "GAP_AndFilter","aka" : ["IsDuplicateFreeCollection"],"conjunction_of" : ["IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)"]},{"name" : "(IsDuplicateFree and IsList)","type" : "GAP_AndFilter","aka" : ["IsDuplicateFreeList"],"conjunction_of" : ["IsList","IsDuplicateFree","Tester(IsDuplicateFree)"]},{"name" : "(((IsGeneralMapping and IsTotal) and IsSingleValued) and IsEndoGeneralMapping)","type" : "GAP_AndFilter","aka" : ["IsEndoMapping"],"conjunction_of" : ["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]},{"name" : "((IsEnumeratorByFunctionsRep and IsDenseList) and (IsDuplicateFree and IsList))","type" : "GAP_AndFilter","aka" : ["IsEnumeratorByFunctions"],"conjunction_of" : ["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]},{"name" : "(CategoryCollections(IsExtAElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtAElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtAElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtAElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtAElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtAElement))"]},{"name" : "(CategoryCollections(IsExtLElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtLElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtLElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtLElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtLElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtLElement))"]},{"name" : "(CategoryCollections(IsExtRElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtRElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtRElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtRElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtRElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtRElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsFFE))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))","type" : "GAP_AndFilter","aka" : ["IsFFEMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsFLMLOR"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsFLMLORWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)","type" : "GAP_AndFilter","aka" : ["IsField"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]},{"name" : "((IsBasis and IsCopyable) and IsListDefault)","type" : "GAP_AndFilter","aka" : ["IsFiniteBasisDefault"],"conjunction_of" : ["IsCopyable","IsListDefault","IsBasis"]},{"name" : "(IsFloatRationalFunction and IsPolynomial)","type" : "GAP_AndFilter","aka" : ["IsFloatPolynomial"],"conjunction_of" : ["IsPolynomial","Tester(IsPolynomial)","IsFloatRationalFunction"]},{"name" : "(IsFloatRationalFunction and (IsPolynomial and IsUnivariateRationalFunction))","type" : "GAP_AndFilter","aka" : ["IsFloatUnivariatePolynomial"],"conjunction_of" : ["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsFloatRationalFunction"]},{"name" : "(IsSubgroupFpGroup and IsGroupOfFamily)","type" : "GAP_AndFilter","aka" : ["IsFpGroup"],"conjunction_of" : ["IsGroupOfFamily","IsSubgroupFpGroup"]},{"name" : "(((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsElementOfFpMonoid)) and IsWholeFamily)","type" : "GAP_AndFilter","aka" : ["IsFpMonoid"],"conjunction_of" : ["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]},{"name" : "(((IsMagma and IsAssociative) and CategoryCollections(IsElementOfFpSemigroup)) and IsWholeFamily)","type" : "GAP_AndFilter","aka" : ["IsFpSemigroup"],"conjunction_of" : ["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]},{"name" : "(CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsFreeGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]},{"name" : "(CategoryCollections(IsNonassocWord) and IsMagma)","type" : "GAP_AndFilter","aka" : ["IsFreeMagma"],"conjunction_of" : ["IsMagma","CategoryCollections(IsNonassocWord)"]},{"name" : "(IsFreeMagmaRing and IsMagmaWithOne)","type" : "GAP_AndFilter","aka" : ["IsFreeMagmaRingWithOne"],"conjunction_of" : ["IsMagmaWithOne","IsFreeMagmaRing"]},{"name" : "(IsFromFpGroupGeneralMapping and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsFromFpGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsFromFpGroupGeneralMapping"]},{"name" : "(IsFromFpGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsFromFpGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsFromFpGroupGeneralMappingByImages"]},{"name" : "(IsFromFpGroupStdGensGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsFromFpGroupStdGensHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsFromFpGroupStdGensGeneralMappingByImages"]},{"name" : "(IsGaussianSpace and (IsMatrixModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))","type" : "GAP_AndFilter","aka" : ["IsGaussianMatrixSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]},{"name" : "(IsGaussianSpace and (IsRowModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))","type" : "GAP_AndFilter","aka" : ["IsGaussianRowSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]},{"name" : "(IsMagmaWithInverses and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsGeneralMapping and RespectsMultiplication) and RespectsInverses)","type" : "GAP_AndFilter","aka" : ["IsGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and RespectsInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]},{"name" : "((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses)","type" : "GAP_AndFilter","aka" : ["IsGroupToAdditiveGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","TransformsMultiplicationIntoAddition","Tester(TransformsMultiplicationIntoAddition)","TransformsInversesIntoAdditiveInverses","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsGroupToAdditiveGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","TransformsMultiplicationIntoAddition","Tester(TransformsMultiplicationIntoAddition)","TransformsInversesIntoAdditiveInverses","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(CategoryCollections(IsInfoClass) and IsSSortedList)","type" : "GAP_AndFilter","aka" : ["IsInfoSelector"],"conjunction_of" : ["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"]},{"name" : "((IsMagmaWithOne and IsAssociative) and IsInverseSemigroup)","type" : "GAP_AndFilter","aka" : ["IsInverseMonoid"],"conjunction_of" : ["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]},{"name" : "(IsIteratorByFunctionsRep and IsIterator)","type" : "GAP_AndFilter","aka" : ["IsIteratorByFunctions"],"conjunction_of" : ["IsIterator","IsIteratorByFunctionsRep"]},{"name" : "(IsMagma and IsLeftActedOnBySuperset)","type" : "GAP_AndFilter","aka" : ["IsLeftMagmaIdeal"],"conjunction_of" : ["IsLeftActedOnBySuperset","IsMagma"]},{"name" : "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne)","type" : "GAP_AndFilter","aka" : ["IsLeftModule"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)","type" : "GAP_AndFilter","aka" : ["IsLeftModuleGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsLeftModuleHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorAdditiveGroup"],"conjunction_of" : ["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorRing"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorRingWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)","type" : "GAP_AndFilter","aka" : ["IsLeftVectorSpace","IsVectorSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and IsZeroSquaredRing) and IsJacobianRing)","type" : "GAP_AndFilter","aka" : ["IsLieAlgebra"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]},{"name" : "(((IsGeneralMapping and IsTotal) and IsSingleValued) and RespectsMultiplication)","type" : "GAP_AndFilter","aka" : ["IsMagmaHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"]},{"name" : "((IsMagma and IsLeftActedOnBySuperset) and (IsMagma and IsRightActedOnBySuperset))","type" : "GAP_AndFilter","aka" : ["IsMagmaIdeal"],"conjunction_of" : ["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]},{"name" : "((IsGeneralMapping and IsTotal) and IsSingleValued)","type" : "GAP_AndFilter","aka" : ["IsMapping"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsMatrix","IsRingElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "((IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and ((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))))","type" : "GAP_AndFilter","aka" : ["IsMatrixFLMLOR"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "(((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsMatrixModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing))","type" : "GAP_AndFilter","aka" : ["IsMatrixSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)"]},{"name" : "(IsMagmaWithOne and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsMonoid"],"conjunction_of" : ["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]},{"name" : "(CategoryCollections(IsMultiplicativeElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithInverse) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithOne) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "(IsNaturalGL and IsIntegerMatrixGroup)","type" : "GAP_AndFilter","aka" : ["IsNaturalGLnZ"],"conjunction_of" : ["IsNaturalGL","Tester(IsNaturalGL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]},{"name" : "(IsNaturalSL and IsIntegerMatrixGroup)","type" : "GAP_AndFilter","aka" : ["IsNaturalSLnZ"],"conjunction_of" : ["IsNaturalSL","Tester(IsNaturalSL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]},{"name" : "(CategoryCollections(IsNearAdditiveElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElement))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithZero) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithZeroList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithZero)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithZeroTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))"]},{"name" : "(((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsNearRing"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveGroup","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElement)","type" : "GAP_AndFilter","aka" : ["IsNearRingElement"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElement))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithInverse)","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverse"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElementWithInverse"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithOne)","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOne"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElementWithOne"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative) and IsMagmaWithOne)","type" : "GAP_AndFilter","aka" : ["IsNearRingWithOne"],"conjunction_of" : ["IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveGroup","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(IsInt and IsNegRat)","type" : "GAP_AndFilter","aka" : ["IsNegInt"],"conjunction_of" : ["IsInt","IsNegRat"]},{"name" : "(IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsNonassocWordWithOne"],"conjunction_of" : ["IsMultiplicativeElementWithOne","IsWord","IsNonassocWord"]},{"name" : "(CategoryCollections(IsPadicNumber) and IsList)","type" : "GAP_AndFilter","aka" : ["IsPadicNumberList"],"conjunction_of" : ["IsList","CategoryCollections(IsPadicNumber)"]},{"name" : "(CategoryCollections(CategoryCollections(IsPadicNumber)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsPadicNumberTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsPadicNumber))"]},{"name" : "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsPartialPerm))","type" : "GAP_AndFilter","aka" : ["IsPartialPermMonoid"],"conjunction_of" : ["CategoryCollections(IsPartialPerm)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsPartialPerm))","type" : "GAP_AndFilter","aka" : ["IsPartialPermSemigroup"],"conjunction_of" : ["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsPcGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]},{"name" : "(IsPcGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPcGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]},{"name" : "(IsPcgsToPcgsGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPcgsToPcgsHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcgsToPcgsGeneralMappingByImages"]},{"name" : "((IsMagmaWithInverses and IsAssociative) and CategoryCollections(IsPerm))","type" : "GAP_AndFilter","aka" : ["IsPermGroup"],"conjunction_of" : ["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsPermGroupGeneralMapping and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPermGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPermGroupGeneralMapping"]},{"name" : "(IsPermGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPermGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPermGroupGeneralMappingByImages"]},{"name" : "((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and CategoryCollections(IsRationalFunction)) and Tester(LeftActingRingOfIdeal)) and Tester(RightActingRingOfIdeal))","type" : "GAP_AndFilter","aka" : ["IsPolynomialRingIdeal"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]},{"name" : "(IsInt and IsPosRat)","type" : "GAP_AndFilter","aka" : ["IsPosInt"],"conjunction_of" : ["IsInt","IsPosRat"]},{"name" : "((CategoryCollections(IsCyclotomic) and ((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)) and IsPrimeField)","type" : "GAP_AndFilter","aka" : ["IsRationals"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]},{"name" : "(IsTranslationInvariantOrdering and IsWellFoundedOrdering)","type" : "GAP_AndFilter","aka" : ["IsReductionOrdering"],"conjunction_of" : ["IsWellFoundedOrdering","Tester(IsWellFoundedOrdering)","IsTranslationInvariantOrdering","Tester(IsTranslationInvariantOrdering)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsReesMatrixSemigroupElement))","type" : "GAP_AndFilter","aka" : ["IsReesMatrixSubsemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsReesZeroMatrixSemigroupElement))","type" : "GAP_AndFilter","aka" : ["IsReesZeroMatrixSubsemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]},{"name" : "(IsLieObject and IsRestrictedJacobianElement)","type" : "GAP_AndFilter","aka" : ["IsRestrictedLieObject"],"conjunction_of" : ["IsRestrictedJacobianElement","IsLieObject"]},{"name" : "(IsMagma and IsRightActedOnBySuperset)","type" : "GAP_AndFilter","aka" : ["IsRightMagmaIdeal"],"conjunction_of" : ["IsRightActedOnBySuperset","IsMagma"]},{"name" : "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum) and IsRightActedOnByRing) and IsDistributiveROpESum) and IsAssociativeROpEProd) and IsTrivialROpEOne)","type" : "GAP_AndFilter","aka" : ["IsRightModule"],"conjunction_of" : ["IsExtRSet","IsAssociativeROpEProd","IsDistributiveROpDSum","IsDistributiveROpESum","IsTrivialROpEOne","IsRightActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum)","type" : "GAP_AndFilter","aka" : ["IsRightOperatorAdditiveGroup"],"conjunction_of" : ["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsRing"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement)","type" : "GAP_AndFilter","aka" : ["IsRingElement"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElement))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithInverse)","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverse","IsScalar"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollColl","IsScalarCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollection","IsScalarCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseList","IsScalarList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseTable","IsScalarTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithOne)","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOne"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithOne"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses))","type" : "GAP_AndFilter","aka" : ["IsRingGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsRingHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)","type" : "GAP_AndFilter","aka" : ["IsRingWithOne"],"conjunction_of" : ["IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and RespectsOne)","type" : "GAP_AndFilter","aka" : ["IsRingWithOneGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and RespectsOne) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsRingWithOneHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)"]},{"name" : "(IsRowModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing))","type" : "GAP_AndFilter","aka" : ["IsRowSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)"]},{"name" : "(((((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsExtLElement) and IsExtRElement) and IsHomogeneousList) and IsOddAdditiveNestingDepthObject)","type" : "GAP_AndFilter","aka" : ["IsRowVector"],"conjunction_of" : ["IsHomogeneousList","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsOddAdditiveNestingDepthObject"]},{"name" : "(IsMagma and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsSemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsSPGeneralMapping and IsGeneralMapping) and RespectsMultiplication)","type" : "GAP_AndFilter","aka" : ["IsSemigroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)"]},{"name" : "(((IsSPGeneralMapping and IsGeneralMapping) and RespectsMultiplication) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsSemigroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"]},{"name" : "(((IsNearAdditiveMagma and IsAdditivelyCommutative) and IsMagma) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsSemiring"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsNearAdditiveMagma and IsAdditivelyCommutative) and IsMagmaWithOne) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsSemiringWithOne"],"conjunction_of" : ["IsMagmaWithOne","IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagmaWithOne) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsSemiringWithOneAndZero"],"conjunction_of" : ["IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsSemiringWithZero"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsElementOfFpMonoid))","type" : "GAP_AndFilter","aka" : ["IsSubmonoidFpMonoid"],"conjunction_of" : ["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]},{"name" : "((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and CategoryCollections(IsSCRingObj))","type" : "GAP_AndFilter","aka" : ["IsSubringSCRing"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","CategoryCollections(IsSCRingObj)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsElementOfFpSemigroup))","type" : "GAP_AndFilter","aka" : ["IsSubsemigroupFpSemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]},{"name" : "(IsToFpGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsToFpGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsToFpGroupGeneralMappingByImages"]},{"name" : "(IsToPcGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsToPcGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsToPcGroupGeneralMappingByImages"]},{"name" : "(IsToPermGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsToPermGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsToPermGroupGeneralMappingByImages"]},{"name" : "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsTransformation))","type" : "GAP_AndFilter","aka" : ["IsTransformationMonoid"],"conjunction_of" : ["CategoryCollections(IsTransformation)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsTransformation))","type" : "GAP_AndFilter","aka" : ["IsTransformationSemigroup"],"conjunction_of" : ["CategoryCollections(IsTransformation)","IsMagma","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsPolynomial and IsUnivariateRationalFunction)","type" : "GAP_AndFilter","aka" : ["IsUnivariatePolynomial"],"conjunction_of" : ["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]},{"name" : "(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsExtLElement) and IsExtRElement)","type" : "GAP_AndFilter","aka" : ["IsVector"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsExtLElement))) and CategoryCollections(CategoryCollections(IsExtRElement)))","type" : "GAP_AndFilter","aka" : ["IsVectorCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsExtLElement))","CategoryCollections(CategoryCollections(IsExtRElement))"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsExtLElement)) and CategoryCollections(IsExtRElement))","type" : "GAP_AndFilter","aka" : ["IsVectorCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsExtLElement)","CategoryCollections(IsExtRElement)"]},{"name" : "((((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsExtLElement) and IsList)) and (CategoryCollections(IsExtRElement) and IsList))","type" : "GAP_AndFilter","aka" : ["IsVectorList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsExtLElement)","CategoryCollections(IsExtRElement)"]},{"name" : "((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsExtLElement)) and IsTable)) and (CategoryCollections(CategoryCollections(IsExtRElement)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsVectorTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsExtLElement))","CategoryCollections(CategoryCollections(IsExtRElement))"]},{"name" : "(IsWord and IsMultiplicativeElementWithInverse)","type" : "GAP_AndFilter","aka" : ["IsWordWithInverse"],"conjunction_of" : ["IsMultiplicativeElementWithInverse","IsWord"]},{"name" : "(IsWord and IsMultiplicativeElementWithOne)","type" : "GAP_AndFilter","aka" : ["IsWordWithOne"],"conjunction_of" : ["IsMultiplicativeElementWithOne","IsWord"]},{"name" : "(IsZero and IsPolynomialFunction)","type" : "GAP_AndFilter","aka" : ["IsZeroRationalFunction"],"conjunction_of" : ["IsZero","Tester(IsZero)","IsPolynomialFunction"]},{"name" : "(IsZmodnZObj and IsFFE)","type" : "GAP_AndFilter","aka" : ["IsZmodpZObj"],"conjunction_of" : ["IsFFE","IsZmodnZObj"]},{"name" : "((IsZmodnZObj and IsFFE) and IsLexOrderedFFE)","type" : "GAP_AndFilter","aka" : ["IsZmodpZObjLarge"],"conjunction_of" : ["IsFFE","IsLexOrderedFFE","IsZmodnZObj"]},{"name" : "((IsZmodnZObj and IsFFE) and IsLogOrderedFFE)","type" : "GAP_AndFilter","aka" : ["IsZmodpZObjSmall"],"conjunction_of" : ["IsFFE","IsLogOrderedFFE","IsZmodnZObj"]}]