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    pygments.lexers.macaulay2
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    Lexer for Macaulay2.

    :copyright: Copyright 2006-2025 by the Pygments team, see AUTHORS.
    :license: BSD, see LICENSE for details.
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RegexLexerwords)CommentKeywordNameStringTextMacaulay2Lexer)$SPACETESTandbreakcatchcontinuedoelapsedTimeelapsedTimingelseforfromglobalifinlistlocalnewnotoforreturnshieldstepsymbolthenthreadLocalthreadVariablethrowtimetimingtotrywhenwhilexor)ANCHORAdjacentAffineVarietyAnalyzerAngleBarListArrayAssociativeExpression	AtomicInt
BLOCKQUOTEBODYBOLDBRBUTTONBag	BasicList
BettiTallyBinaryOperationBooleanCCCDATACODECOMMENTCacheFunction
CacheTableChainComplexChainComplexMapCoherentSheafCommandCompiledFunctionCompiledFunctionBodyCompiledFunctionClosureComplexFieldConstantDDDIVDLDTDatabaseDescentDescribe
Dictionary	DirectSumDivideDocumentTagEM	Eliminate
EngineRingEquationExampleItem
ExpressionFileFilePositionFractionFieldFunctionFunctionApplicationFunctionBodyFunctionClosureGaloisFieldGeneralOrderedMonoidGlobalDictionaryGradedModuleGradedModuleMapGroebnerBasisGroebnerBasisOptionsHEADHEADER1HEADER2HEADER3HEADER4HEADER5HEADER6HRHREFHTML	HashTable
HeaderTypeHolderHybrid	HypertextHypertextContainerHypertextParagraphHypertextVoidIMGINDENTINPUTITALICIdealImmutableTypeIndeterminateNumberIndexedVariableIndexedVariableTableInexactFieldInexactFieldFamilyInexactNumberInfiniteNumberIntermediateMarkUpTypeIteratorKBDr   LABELLATERLILINKLITERALListLocalDictionary
LowerBoundMENUMETAManipulatorMapExpression
MarkUpTypeMatrixMatrixExpressionMethodFunctionMethodFunctionBinaryMethodFunctionSingleMethodFunctionWithOptionsMinusModuleMonoidMonoidElementMonomialIdealMultigradedBettiTallyMutableHashTableMutableListMutableMatrixNetNetFileNothingNumberNumberedVerticalListOLOneExpressionOptionOptionTableOrderedMonoidPARAPREPackageParenthesizeParser	PartitionPolynomialRingPowerProductProductOrderProgram
ProgramRunProjectiveHilbertPolynomialProjectiveVariety
PseudocodePseudocodeClosureQQQuotientRingRRRRi	RealField
ResolutionRingRingElement
RingFamilyRingMapRowExpressionSAMPSCRIPTSMALLSPANSTRONGSTYLESUB
SUBSECTIONSUPScriptedFunctorSelfInitializingTypeSequenceSetSheafExpressionSheafMapSheafOfRingsSparseMonomialVectorExpressionSparseVectorExpressionr   	SubscriptSumSumOfTwistsSuperscriptSymbol
SymbolBodyTABLETDTEXTHTITLETOTO2TOHTRTTTableTallyTaskTensorProduct	TestInputThingTimeTypeULURLVARVarietyVectorVectorExpressionVerticalListVirtualTallyVisibleListWrapperTypeZZZeroExpression(4  BesselJBesselYBetaDigammaEXAMPLEEndFanoGCstatsGFGammaGrassmannianHomLLLLUdecompositionM2CODENNParserProjQQParserQRDecompositionSVDSYNOPSISSchubertSpecZZParseraboutabs
accumulateacosacoshacotacothaddCancelTaskaddDependencyTaskaddEndFunctionaddHook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atEndOfFileatanatan2atanhautoloadbaseFilenamebaseNamebaseRingbasisbeginDocumentation	benchmarkbettibetweenbinomialborel
cacheValue
cancelTaskcanonicalBundlecaptureceilingcenterStringchainComplex
changeBasechangeDirectorycharcharAnalyzer
characterscheckcheckDegreeschiclassclean	clearEchocodecodimcoefficientcoefficientRingcoefficients
cohomologycoimagecokercokernelcollectGarbage	columnAdd
columnMultcolumnPermutecolumnRankProfile
columnSwap	columnatecombinecommandInterpreter
commonRing	commonest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dim	directSumdisassemblediscriminantdismissdistinguisheddivideByVariabledocdocumentdropdualeagonNorthcottechoOffechoOneigenvalueseigenvectorseintelements	eliminate
endPackageentrieseraseerferfcerroreulereulersevenexamplesexchangeexecexpexpectedReesIdealexpm1	exponentsexport
exportFromexportMutable
expressionextendexteriorPowerfactor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gbgbRemove
gbSnapshotgcdgcdCoefficientsgcdLLLgeneragenerateAssertions	generator
generatorsgenericMatrixgenericSkewMatrixgenericSymmetricMatrixgensgenusgetgetChangeMatrixgetGlobalSymbolgetIOThreadMode
getNetFile
getNonUnitgetPrimeWithRootOfUnity	getSymbolgetWWWgetcgetenvglobalAssignglobalAssignFunctionglobalAssignmentglobalReleaseFunctiongradedModulegradedModuleMapgramm
graphIdeal	graphRinggroebnerBasisgroupIDhash	hashTable	headlinesheftheighthermitehilbertFunctionhilbertPolynomialhilbertSerieshold
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installHilbertFunctioninstallMethodinstallMinprimesinstallPackageinstalledPackagesinstance	instancesintegralClosure	integrate	intersectintersectInPintersectionintervalinverse
inverseErfinversePermutationinverseRegularizedBetainverseRegularizedGammainverseSystemirreducibleCharacteristicSeriesirreducibleDecomposition	isANumberisAffineRingisBorel
isCanceledisCommutative
isConstantisDirectSumisDirectoryisEmptyisFieldisFiniteisFinitePrimeFieldisFreeModuleisGlobalSymbolisHomogeneousisIdeal
isInfiniteisInjectiveisInputFileisIsomorphicisIsomorphismisLLL
isLiftableisLinearType
isListenerisMemberisModuleisMonomialIdeal	isMutableisNormalisOpenisOutputFileisPolynomialRing	isPrimaryisPrimeisPrimitiveisProjectiveisPseudoprimeisQuotientModuleisQuotientOfisQuotientRingisReadyisRealisReductionisRegularFileisRingisSkewCommutativeisSmoothisSortedisSquareFreeisStandardGradedPolynomialRingisSubmoduleisSubquotientisSubsetisSupportedInZeroLocusisSurjectiveisTableisUnitisVeryAmpleisWellDefinedisWeylAlgebraisc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lngammaloadloadPackagelocalDictionarieslocalizelocateloglog1plookuplookupCountmakeDirectorymakeDocumentTagmakePackageIndexmakeS2mapmarkedGBmatchmathMLmatrixmaxmaxPositionmembermemoizememoizeClearmemoizeValuesmerge
mergePairsmethodmethodOptionsmethodsmidpointminminPositionminPresmingensmingleminimalBettiminimalPresentationminimalPrimesminimalReductionminimizeminimizeFilenameminors	minprimesminusmkdirmodmodulemodulomonoidmonomialCurveIdealmonomialIdealmonomialSubideal	monomialsmoveFilemultidegreemultidocmultigradedmultiplicitymutablemutableIdentitymutableMatrix	nanosleepneedsneedsPackagenetnetListnewClassnewCoordinateSystem
newNetFile
newPackagenewRingnext	nextPrimenextkeynonspaceAnalyzernorm
normalConenotImplemented
nullParser	nullSpacenullhomotopy
numColumnsnumRowsnumbernumcols	numeratornumericnumericIntervalnumgensnumrowsoddoeisofClassonopenDatabaseopenDatabaseOut	openFilesopenIn	openInOutopenListeneropenOutopenOutAppendoptPoptionalSignParseroptionsorPoverridepackpackagepackageTemplatepadpagerpairsparallelApply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printStringprinterr	processIDproductprofileprojectiveHilbertPolynomialpromoteprotectprunepseudoRemainder
pseudocodepullbackpushForwardpushoutquotientquotientRemainderradicalradicalContainmentrandomrandomKRationalPointrandomMutableMatrixrankraysreadreadDirectoryreadPackagereadlinkrealPartrealpathrecursionDepthreduceHilbertreducedRowEchelonFormreductionNumberreesAlgebrareesAlgebraIdeal	reesIdealregSeqInIdealregex
regexQuoteregisterFinalizer
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
searchPathsecsech
seeParsingselectselectInSubring
selectKeysselectPairsselectValuesselectVariablesseparateseparateRegexpsequenceserialNumbersetsetEcho
setGroupIDsetIOExclusivesetIOSynchronizedsetIOUnSynchronizedsetRandomSeedsetup
setupEmacs	setupLiftsetupPromotesheafsheafHomsheafMapshowshowHtmlshowTexsimpleDocFrobsinsingularLocussinhsizesize2sleepsmithNormalFormsolve	someTermssortsortColumnssourcespan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switchsylvesterMatrix
symbolBodysymlinkDirectorysymlinkFilesymmetricAlgebrasymmetricAlgebraIdealsymmetricKernelsymmetricPowersynonymsyzsyzygySchemetabletaketallytantangentConetangentSheaftanhtarget
taskResulttemporaryFileNametensortensorAssociativityterminalParsertermstestHunekeQuestionteststextexMathtimestoAbsolutePathtoCCtoDividedPowerstoDualtoExternalStringtoFieldtoListtoLowertoRRtoRRi
toSequencetoStringtoUppertoptopCoefficientstopComponentstrace	transposetrimtruncatetruncateOutputtutorialultimateunbaguncurryundocumenteduniformuninstallAllPackagesuninstallPackageunion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(  A1BrouwerDegreesAbstractSimplicialComplexes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cite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
Maintainer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MsolveMultigradedBGGMultigradedImplicitization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NumericalSemigroups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Permutations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SchurVeroneseSCMAlgebras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Threads	ThresholdTopcomtopLevelModeTor
TorAlgebraToricToricInvariantsToricTopologyToricVectorBundlesTorsionTorsionFree
TotalPairsTreeTriangularSetsTriangulationsTriesTrimTripletsTropicalTropicalToric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VNumberWebAppWeightsWeylAlgebraWeylAlgebras
WeylGroupsWhitneyStratificationsWrapXMLc                   v   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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