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    pygments.lexers.macaulay2
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    Lexer for Macaulay2.

    :copyright: Copyright 2006-2024 by the Pygments team, see AUTHORS.
    :license: BSD, see LICENSE for details.
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RegexLexerwords)CommentKeywordNameStringTextMacaulay2Lexer)"andbreakcatchcontinuedoelapsedTimeelapsedTimingelseforfromglobalifinlistlocalnewnotoforreturnshieldSPACEstepsymbolthenthreadVariablethrowtimetimingtotrywhenwhilexor)AdjacentAffineVarietyAnalyzerANCHORAngleBarListArrayAssociativeExpression	AtomicIntBag	BasicList
BettiTallyBinaryOperation
BLOCKQUOTEBODYBOLDBooleanBRBUTTONCacheFunction
CacheTableCCCDATAChainComplexChainComplexMapCODECoherentSheafCommandCOMMENTCompiledFunctionCompiledFunctionBodyCompiledFunctionClosureComplexFieldConstantDatabaseDDDescentDescribe
Dictionary	DirectSumDIVDivideDLDocumentTagDT	EliminateEM
EngineRingEquationExampleItem
ExpressionFileFilePositionFractionFieldFunctionFunctionApplicationFunctionBodyFunctionClosureGaloisFieldGeneralOrderedMonoidGlobalDictionaryGradedModuleGradedModuleMapGroebnerBasisGroebnerBasisOptions	HashTableHEADHEADER1HEADER2HEADER3HEADER4HEADER5HEADER6
HeaderTypeHolderHRHREFHTMLHybrid	HypertextHypertextContainerHypertextParagraphHypertextVoidIdealIMGImmutableTypeINDENTIndeterminateNumberIndexedVariableIndexedVariableTableInexactFieldInexactFieldFamilyInexactNumberInfiniteNumberINPUTIntermediateMarkUpTypeITALICIteratorKBDr   LABELLATERLILINKListLITERALLocalDictionary
LowerBoundManipulatorMapExpression
MarkUpTypeMatrixMatrixExpressionMENUMETAMethodFunctionMethodFunctionBinaryMethodFunctionSingleMethodFunctionWithOptionsMinusModuleMonoidMonoidElementMonomialIdealMultigradedBettiTallyMutableHashTableMutableListMutableMatrixNetNetFileNothingNumberNumberedVerticalListOLOneExpressionOptionOptionTableOrderedMonoidPackagePARAParenthesizeParser	PartitionPolynomialRingPowerPREProductProductOrderProgram
ProgramRunProjectiveHilbertPolynomialProjectiveVariety
PseudocodeQQQuotientRing	RealField
ResolutionRingRingElement
RingFamilyRingMapRowExpressionRRRRiSAMPSCRIPTScriptedFunctorSelfInitializingTypeSequenceSetSheafExpressionSheafMapSheafOfRingsSMALLSPANSparseMonomialVectorExpressionSparseVectorExpressionr   STRONGSTYLESUB	Subscript
SUBSECTIONSumSumOfTwistsSUPSuperscriptSymbol
SymbolBodyTABLETableTallyTaskTDTensorProduct	TestInputTEXTHThingTimeTITLETOTO2TOHTRTTTypeULURLVARVarietyVectorVectorExpressionVerticalListVirtualTallyVisibleListWrapperTypeZeroExpressionZZ(*  aboutabs
accumulateacosacoshacotacothaddCancelTaskaddDependencyTaskaddEndFunctionaddHookaddStartFunctionaddStartTaskadjointagmalarmallambientanalyticSpreadancestor	ancestorsandPannannihilatorantipodeanyappendapplicationDirectoryapply	applyKeys
applyPairs
applyTableapplyValuesaproposarXivasciiasinasinhassassertassociatedGradedRingassociatedPrimesatanatan2atanhatEndOfFileautoloadbaseFilenamebaseNamebaseRingbasisbeginDocumentation	benchmarkBesselJBesselYBetabettibetweenbinomialborel
cacheValue
cancelTaskcanonicalBundlecaptureceilingcenterStringchainComplex
changeBasechar
characterscharAnalyzercheckcheckDegreeschiclassclean	clearEchocodecodimcoefficientcoefficientRingcoefficients
cohomologycoimagecokercokernelcollectGarbage	columnAdd	columnate
columnMultcolumnPermutecolumnRankProfile
columnSwapcombinecommandInterpreter	commonest
commonRingcomodulecompareExchange
complementcomplete
componentscomposecompositionscompressconcatenate	conductorcone	conjugateconnectionCountconstParsercontentcontractconwayPolynomialcopycopyDirectorycopyFilecoscoshcotcotangentSheafcothcovercoverMapcpuTime
createTaskcsccschcurrentColumnNumbercurrentDirectorycurrentPositioncurrentRowNumbercurrentTime
deadParserdebug
debugError	decompose
deepSplicedefaultdegreedegreeGroupdegreeLengthdegreesdegreesMonoiddegreesRingdeletedemarkdenominatordepthdescribedetdeterminantdiagonalMatrixdiameter
dictionarydiff
differenceDigammadim	directSumdisassemblediscriminantdismissdistinguisheddivideByVariabledocdocumentdropdualeagonNorthcottechoOffechoOneigenvalueseigenvectorseintelements	eliminateEnd
endPackageentrieseraseerferfcerroreulereulersevenEXAMPLEexamplesexchangeexecexpexpectedReesIdealexpm1	exponentsexport
exportFromexportMutable
expressionextendexteriorPowerfactorFanofileExecutable
fileExists
fileLengthfileModefileReadablefileTimefileWritable
fillMatrix	findFilesfindHeftfindProgramfindSynonymsfirstfirstkeyfittingIdeal
flagLookupflattenflattenRingflipfloorfoldforceGBforkformat	formationfracfractionframesfromDividedPowersfromDualfunctionBodyfutureParserGammagbgbRemove
gbSnapshotgcdgcdCoefficientsgcdLLLGCstatsgeneragenerateAssertions	generator
generatorsgenericMatrixgenericSkewMatrixgenericSymmetricMatrixgensgenusgetgetcgetChangeMatrixgetenvgetGlobalSymbol
getNetFile
getNonUnitgetPrimeWithRootOfUnity	getSymbolgetWWWGFglobalAssignglobalAssignFunctionglobalAssignmentglobalReleaseFunctiongradedModulegradedModuleMapgramm
graphIdeal	graphRingGrassmanniangroebnerBasisgroupIDhash	hashTableheftheighthermitehilbertFunctionhilbertPolynomialhilbertSeriesholdHom
homogenizehomologyhomomorphismhookshorizontalJoinhtmlhttpHeaders	hypertexticFracPicFractionsicMapicPIdealideal	idealizeridentityimageimaginaryPart
importFromindependentSetsindexindices
inducedMapinducesWellDefinedMapinfoinputinsertinstallAssignmentMethodinstalledPackagesinstallHilbertFunctioninstallMethodinstallMinprimesinstallPackageinstance	instancesintegralClosure	integrate	intersectintersectInPintersectionintervalinverse
inverseErfinversePermutationinverseRegularizedBetainverseRegularizedGammainverseSystemirreducibleCharacteristicSeriesirreducibleDecompositionisAffineRing	isANumberisBorelisc
isCanceledisCommutative
isConstantisDirectoryisDirectSumisEmptyisFieldisFiniteisFinitePrimeFieldisFreeModuleisGlobalSymbolisHomogeneousisIdeal
isInfiniteisInjectiveisInputFileisIsomorphicisIsomorphism
isLiftableisLinearType
isListenerisLLLisMemberisModuleisMonomialIdeal	isMutableisNormalisOpenisOutputFileisPolynomialRing	isPrimaryisPrimeisPrimitiveisProjectiveisPseudoprimeisQuotientModuleisQuotientOfisQuotientRingisReadyisRealisReductionisRegularFileisRingisSkewCommutativeisSortedisSquareFreeisStandardGradedPolynomialRingisSubmoduleisSubquotientisSubsetisSupportedInZeroLocusisSurjectiveisTableisUnitisWellDefinedisWeylAlgebraiteratorjacobianjacobianDualjoinkerkernel	kernelLLLkernelOfLocalizationkeyskillkoszullastlcmleadCoefficientleadComponentleadMonomialleadTermleftlengthletterParserliftliftable
limitFileslimitProcesseslineslinkFilelistFormlistSymbolsLLLlngammaloadloadPackagelocalDictionarieslocalizelocateloglog1plookuplookupCountLUdecompositionM2CODEmakeDirectorymakeDocumentTagmakePackageIndexmakeS2mapmarkedGBmatchmathMLmatrixmaxmaxPositionmembermemoizememoizeClearmemoizeValuesmerge
mergePairsmethodmethodOptionsmethodsmidpointminmingensmingleminimalBettiminimalPresentationminimalPrimesminimalReductionminimizeminimizeFilenameminorsminPositionminPres	minprimesminusmkdirmodmodulemodulomonoidmonomialCurveIdealmonomialIdeal	monomialsmonomialSubidealmoveFilemultidegreemultidocmultigradedmultiplicitymutablemutableIdentitymutableMatrix	nanosleepneedsneedsPackagenetnetListnewClassnewCoordinateSystem
newNetFile
newPackagenewRingnextnextkey	nextPrimeNNParsernonspaceAnalyzernorm
normalConenotImplementednullhomotopy
nullParser	nullSpacenumbernumcols
numColumns	numeratornumericnumericIntervalnumgensnumRowsnumrowsoddoeisofClassonopenDatabaseopenDatabaseOut	openFilesopenIn	openInOutopenListeneropenOutopenOutAppendoptionalSignParseroptionsoptPorPoverridepackpackagepackageTemplatepadpagerpairsparentpart	partition
partitionspartspdimpeek
permanentspermutations	pfaffianspivotspluspoincare	poincareNpolarizepolyposition	positionspowerpowermod	precisionpreimageprependpresentationprettyprimaryComponentprimaryDecompositionprintprinterrprintString	processIDproductprofileProjprojectiveHilbertPolynomialpromoteprotectprune
pseudocodepseudoRemainderpullbackpushForwardpushoutQQParserQRDecompositionquotientquotientRemainderradicalradicalContainmentrandomrandomKRationalPointrandomMutableMatrixrankraysreadreadDirectoryreadlinkreadPackagerealPartrealpathrecursionDepthreducedRowEchelonFormreduceHilbertreductionNumberreesAlgebrareesAlgebraIdeal	reesIdealregex
regexQuoteregisterFinalizerregSeqInIdeal
regularityregularizedBetaregularizedGamma	relationsrelativizeFilename	remainderremoveremoveDirectory
removeFileremoveLowestDimension
reorganizereplaceresreshape
resolution	resultantreverserightringringFromFractionsrootsrotateroundrowAddrowMult
rowPermuterowRankProfilerowSwaprsortrunrunHooksrunLengthEncode
runProgramsamesaturatescanscanKeys	scanLines	scanPairs
scanValuesscheduleschreyerOrderSchubert
searchPathsecsech
seeParsingselectselectInSubringselectVariablesseparateseparateRegexpsequenceserialNumbersetsetEcho
setGroupIDsetIOExclusivesetIOSynchronizedsetIOUnSynchronizedsetRandomSeedsetup
setupEmacssheafsheafHomsheafMapshowshowHtmlshowTexsimpleDocFrobsinsingularLocussinhsizesize2sleepsmithNormalFormsolve	someTermssortsortColumnssourcespanSpecspecialFiberspecialFiberIdealsplicesplitWWWsqrtstackstacksProjectstandardFormstandardPairs
stashValuestatusstorestylesubsublists	submatrixsubmatrixByDegreessubquotientsubsets
substitute	substringsubtablesumsupersupportSVDswitchsylvesterMatrix
symbolBodysymlinkDirectorysymlinkFilesymmetricAlgebrasymmetricAlgebraIdealsymmetricKernelsymmetricPowersynonymSYNOPSISsyzsyzygySchemetabletaketallytantangentConetangentSheaftanhtarget
taskResulttemporaryFileNametensortensorAssociativityterminalParsertermsTESTtestHunekeQuestionteststextexMathtimestoAbsolutePathtoCCtoDividedPowerstoDualtoExternalStringtoFieldtoListtoLowertoptopCoefficientstopComponentstoRRtoRRi
toSequencetoStringtoUppertrace	transposetrimtruncatetruncateOutputtutorialultimateunbaguncurryundocumenteduniformuninstallAllPackagesuninstallPackageuniqueuniquePermutations
unsequenceunstack	urlEncodeuseuserSymbolsutf8	utf8checkutf8substringvalidatevaluevaluesvarietyvarsvectorversalEmbeddingwaitwedgeProductweightRangewhichGmwidth	wikipediawrapyoungestzerozetaZZParser(  A1BrouwerDegreesAbstractToricVarietiesAcknowledgementAdditionalPathsAdjointIdealAdjunctionForSurfaces	AfterEvalAfterNoPrint
AfterPrint	AInfinityAlgebraicSplines	Algorithm	AlignmentAllCodimensionsallowableThreadsAnalyzeSheafOnP1applicationDirectorySuffixargument	AscendingAssociativeAlgebrasAuthorsAuxiliaryFiles	backtraceBareissBaseBaseFunction	baseRingsBaseRowBasisElementLimitBayerBeforePrintBeginningMacaulay2	BenchmarkBernsteinSatoBertiniBettiCharactersBGGBIBasisBinaryBinomialBinomialEdgeIdeals	BinomialsBKZblockMatrixFormBodyBoijSoederbergBook3264Examples	BooleanGBBoxesBrowseBrunscacheCacheExampleOutput	CallLimitCannedExampleCatalanConstantCaveatCellularResolutionsCenterCertificationChainComplexExtrasChainComplexOperationsChangeMatrixCharacteristicClassesCheckDocumentationChordalClassicclearAllclearOutputclosecloseIncloseOut
ClosestFitCodeCodimensionLimitCodingTheoryCoefficientRingCofactorCohenEngineCohenTopLevel	CohomCalgCoincidentRootLocicommandLinecompactMatrixForm
ComplementCompleteIntersectionCompleteIntersectionResolutions	ComplexesConductorElementConfigurationConformalBlocksConsequences	ConstantsContributorsConvexInterfaceConwayPolynomials	copyrightCoreCorrespondenceScrollsCotangentSchubertCremonacurrentFileDirectorycurrentFileNamecurrentLayoutcurrentPackage
CyclotomicDateddDebuggingModedebuggingMode
debugLevelDecomposableSparseSystems	DecomposeDefaultdefaultPrecisionDegreeDegreeGroup
DegreeLiftDegreeLimit	DegreeMapDegreeOrder
DegreeRankDegreesDenseDensityDepth
DescendingDescriptionDeterminantalRepresentations
DGAlgebrasdictionaryPathDiffAlgDispatchDivideConquerDividedPowersDivisorDmodules
docExampledocTemplateDownDynamicEagonResolution
EdgeIdealseditEigenSolverEisenbudHunekeVasconcelosEliminationEliminationMatricesEllipticCurvesEllipticIntegralsEmailendendlEngineengineDebugLevelEngineTestsEnumerationCurvesenvironmentEquivariantGB
errorDepthEulerConstantExampleExampleFilesExampleSystemsExcludeexitExtExteriorIdealsExteriorModulesfalse
FastMinorsFastNonminimalFGLMfileDictionariesfileExitHooksFileNameFindOneFiniteFittingIdealsFirstFirstPackage
FlatMonoidFlexibleflushFollowLinksForeignFunctionsFormalGroupLawsFormatFourierMotzkin	FourTiTwofpLLLFrobeniusThresholdsFunctionFieldDesingularization	GBDegreesgbTraceGenerateAssertionsGenericGenericInitialIdealGeometricDecomposabilitygfanInterfaceGivensGKMVarietiesGLexGlobalGlobalAssignHookglobalAssignmentHooksGlobalHookStoreGlobalReleaseHookGlobalSectionLimit
GorensteinGradedLieAlgebrasGraphicalModelsGraphicalModelsMLEGraphicsGraphsGRevLexGroebnerStrataGroebnerWalkGroupLexGroupRevLexGTZHadamardhandleInterruptsHardDegreeLimitHeadingHeadlineHeftHeighthelpHermite	HermitianHHhhHigherCIOperatorsHighestWeightsHilbertHodgeIntegralsHolonomicSystemshomeDirectoryHomePageHomogeneousHomogeneous2HomotopyLieAlgebraHorizontalSpaceHyperplaneArrangementsidIgnoreExampleErrorsiiincomparable	IncrementindeterminateIndexindexComponentsinfinityInfoDirSectioninfoHelpInhomogeneousInputsInstallPrefixIntegralClosureinterpreterDepthIntersectionInvariantRingInverseMethodInversesInverseSystems
InvertibleInvolutiveBasesIsomorphismItemIterateJacobianJetsJoinJSONJupyter	K3Carpets
K3SurfacesKeep	KeepFiles
KeepZeroesKeyKeywords	KroneckerKustinMiller	lastMatchLatticePolytopesLayoutLeftLengthLimitLex	LexIdealsLicensesLieTypesLimitLinearLinearAlgebraLinearTruncations
lineNumberlistLocalSymbolslistUserSymbolsLLLBases	loadDepthLoadDocumentationloadedFilesloadedPackagesLocal
LocalRingsLongPolynomialM0nbarMacaulay2DocMakeDocumentationMakeHTMLMakeInfo	MakeLinksMakePDFMapleInterfaceMarkovMatchingFieldsMatrixSchubertMatroidsmaxAllowableThreadsmaxExponentMaximalRankMaxReductionCountMCMApproximationsMergeTeXminExponentMinimalGeneratorsMinimalMatrixminimalPresentationMapminimalPresentationMapInvMinimalPrimesMinimizeMinimumVersionMiuraMixedMultiplicityModuleDeformationsMonodromySolverMonomialMonomialAlgebrasMonomialIntegerProgramsMonomialOrbitsMonomialOrder	MonomialsMonomialSizeMultiGradedRationalMapMultiplicitySequenceMultiplierIdealsMultiplierIdealsDim2MultiprojectiveVarietiesNAGtypesr   NautyNautyGraphs	NCAlgebraNCLexNewFromMethodnewline	NewMethodNewOfFromMethodNewOfMethodnilNodeNoetherianOperatorsNoetherNormalizationNonminimalComplexesNoPrintNormalizNormalToricVarietiesnotifyNTLnullnullaryMethodsNumericalAlgebraicGeometryNumericalCertificationNumericalImplicitizationNumericalLinearAlgebraNumericalSchubertCalculusNumericSolutionsnumTBBThreadsOIGroebnerBasesOldPolyhedraOldToricVectorBundlesOnlineLookupOOoooooooooOpenMathoperatorAttributesOptionalComponentsPresentOptionsOrderorderOutputDictionaryOutputsPackageCitationsPackageDictionaryPackageExportsPackageImportsPackageTemplate	PairLimitPairsRemaining
ParallelF4ParallelizeByDegreeParametrizationParsingpathPencilsOfQuadrics
PermanentsPHCpackPhylogeneticTreespi	PieriMapsPlaneCurveLinearSeriesPlaneCurveSingularitiesPoints	PolyhedraPolymakePolyominoIdealsPosetsPositionPositivityToricBundlesPOSIXPostfixPre	PrecisionPrefixprefixDirectory
prefixPathPrimaryDecomposition
PrimaryTagPrimitiveElementPrintprintingAccuracyprintingLeadLimitprintingPrecisionprintingSeparatorprintingTimeLimitprintingTrailLimit
printWidthProbabilityprofileSummaryprogramPaths
ProjectivePrunePruneComplex
pruningMap"PseudomonomialPrimaryDecompositionPullbackpullbackMapsPushForwardpushoutMapsPythonQthPowerQuadraticIdealExamplesByRoosQuasidegreesQuaternaryQuarticsQuillenSuslinquitQuotientRadicalRadicalCodim1
RaiseErrorRandomCanonicalCurvesRandomComplexesRandomCurves%RandomCurvesOverVerySmallFiniteFieldsRandomGenus14CurvesRandomIdealsRandomMonomialIdealsRandomObjectsRandomPlaneCurvesRandomPointsRandomSpaceCurvesRangeRationalMapsRationalPointsRationalPoints2ReactionNetworksRealFPRealQPRealQP1	RealRootsRealRRRealXDrecursionLimitReduceReesAlgebra
ReferencesReflexivePolytopesDB
RegularityRelativeCanonicalResolutionReloadRemakeAllDocumentationRerunExamplesResidualIntersectionsResLengthThree ResolutionsOfStanleyReisnerRingsrestartResult
Resultants
returnCodeReverseRevLexRight
RInterfacerootPathrootURIRunDirectoryRunExamplesRunExternalM2SagbiGbDetection
SaturationSaturationMap	Schubert2SchurComplexesSchurFunctors
SchurRingsscriptCommandLineSCSCPSectionRingSeeAlsoSegreClassesSemidefiniteProgrammingSeminormalizationSeparateExecSerializationsheafExtShimoyamaYokoyamashowClassStructureshowStructureshowUserStructure	SimpleDocSimplicialComplexesSimplicialDecomposabilitySimplicialPosetsSimplifyFractions	SizeLimitSkewCommutativeSlackIdealsSLnEquivariantMatricesSLPexpressionsSortSortStrategy
SourceCode
SourceRingSpaceCurvesSparseResultantsSpechtModuleSpecialFanoFourfoldsSpectralSequencesSRdeformationsStandardStartWithOneMinorStatePolytope
StatGraphsstderrstdioStopBeforeComputationstopIfErrorStopIterationStopWithMinimalGeneratorsStrategyStrictStronglyStableIdealsStyleSubalgebraBasesSubnodesSubringLimit	subscript	SugarlessSumsOfSquaresSuperLinearAlgebrasuperscriptSVDComplexesSwitchingFieldsSymbolicPowersSymmetricPolynomialsSynopsisSyzygiesSyzygyLimitSyzygyMatrix
SyzygyRowsTangentConeTateOnProductsTensorComplexesTerraciniLociTesttestExample
TestIdealsTeXmacsr   ThinSincereQuivers
ThreadedGB	ThresholdTopcomtopLevelModeTor
TorAlgebraToricToricInvariantsToricTopologyToricVectorBundlesTorsionTorsionFree
TotalPairsTreeTriangularSetsTriangulationsTriesTrimTripletsTropicaltrueTruncateTruncationsTSpreadIdealsTypicalValuetypicalValuesUndoUniqueUnitsUnmixedUp
UpdateOnlyUpperTriangularUsageUseCachedExampleOutputUseHilbertFunctionUserModeUseSyzygies
ValuationsVariableVariableBaseName	Variables	VarietiesVasconcelosVectorFieldsVectorGraphicsVerbose	VerbosityVerifyVersalDeformationsVersionversionVerticalSpaceviewHelpVirtualResolutions	VisualizeWebAppWeightsWeylAlgebraWeylAlgebras
WeylGroupsWhitneyStratificationsWrapXMLc                   @   s   e Zd ZdZdZdZdgZdgZdZde	j
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