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""" |
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pygments.lexers.macaulay2 |
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~~~~~~~~~~~~~~~~~~~~~~~~~ |
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Lexer for Macaulay2. |
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:copyright: Copyright 2006-2025 by the Pygments team, see AUTHORS. |
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:license: BSD, see LICENSE for details. |
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""" |
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from pygments.lexer import RegexLexer, words |
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from pygments.token import Comment, Keyword, Name, String, Text |
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__all__ = ['Macaulay2Lexer'] |
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M2KEYWORDS = ( |
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"SPACE", |
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"TEST", |
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"and", |
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"break", |
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"catch", |
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"continue", |
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"do", |
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"elapsedTime", |
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"elapsedTiming", |
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"else", |
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"for", |
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"from", |
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"global", |
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"if", |
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"in", |
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"list", |
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"local", |
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"new", |
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"not", |
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"of", |
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"or", |
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"return", |
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"shield", |
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"step", |
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"symbol", |
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"then", |
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"threadLocal", |
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"threadVariable", |
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"throw", |
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"time", |
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"timing", |
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"to", |
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"try", |
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"when", |
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"while", |
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"xor" |
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) |
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M2DATATYPES = ( |
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"ANCHOR", |
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"Adjacent", |
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"AffineVariety", |
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"Analyzer", |
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"AngleBarList", |
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"Array", |
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"AssociativeExpression", |
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"AtomicInt", |
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"BLOCKQUOTE", |
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"BODY", |
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"BOLD", |
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"BR", |
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"BUTTON", |
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"Bag", |
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"BasicList", |
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"BettiTally", |
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"BinaryOperation", |
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"Boolean", |
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"CC", |
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"CDATA", |
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"CODE", |
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"COMMENT", |
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"CacheFunction", |
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"CacheTable", |
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"ChainComplex", |
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"ChainComplexMap", |
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"CoherentSheaf", |
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"Command", |
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"CompiledFunction", |
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"CompiledFunctionBody", |
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"CompiledFunctionClosure", |
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"ComplexField", |
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"Constant", |
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"DD", |
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"DIV", |
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"DL", |
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"DT", |
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"Database", |
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"Descent", |
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"Describe", |
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"Dictionary", |
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"DirectSum", |
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"Divide", |
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"DocumentTag", |
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"EM", |
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"Eliminate", |
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"EngineRing", |
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"Equation", |
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"ExampleItem", |
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"Expression", |
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"File", |
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"FilePosition", |
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"FractionField", |
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"Function", |
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"FunctionApplication", |
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"FunctionBody", |
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"FunctionClosure", |
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"GaloisField", |
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"GeneralOrderedMonoid", |
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"GlobalDictionary", |
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"GradedModule", |
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"GradedModuleMap", |
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"GroebnerBasis", |
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"GroebnerBasisOptions", |
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"HEAD", |
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"HEADER1", |
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"HEADER2", |
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"HEADER3", |
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"HEADER4", |
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"HEADER5", |
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"HEADER6", |
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"HR", |
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"HREF", |
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"HTML", |
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"HashTable", |
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"HeaderType", |
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"Holder", |
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"Hybrid", |
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"Hypertext", |
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"HypertextContainer", |
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"HypertextParagraph", |
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"HypertextVoid", |
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"IMG", |
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"INDENT", |
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"INPUT", |
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"ITALIC", |
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"Ideal", |
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"ImmutableType", |
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"IndeterminateNumber", |
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"IndexedVariable", |
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"IndexedVariableTable", |
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"InexactField", |
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"InexactFieldFamily", |
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"InexactNumber", |
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"InfiniteNumber", |
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"IntermediateMarkUpType", |
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"Iterator", |
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"KBD", |
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"Keyword", |
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"LABEL", |
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"LATER", |
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"LI", |
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"LINK", |
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"LITERAL", |
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"List", |
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"LocalDictionary", |
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"LowerBound", |
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"MENU", |
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"META", |
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"Manipulator", |
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"MapExpression", |
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"MarkUpType", |
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"Matrix", |
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"MatrixExpression", |
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"MethodFunction", |
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"MethodFunctionBinary", |
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"MethodFunctionSingle", |
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"MethodFunctionWithOptions", |
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"Minus", |
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"Module", |
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"Monoid", |
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"MonoidElement", |
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"MonomialIdeal", |
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"MultigradedBettiTally", |
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"MutableHashTable", |
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"MutableList", |
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"MutableMatrix", |
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"Net", |
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"NetFile", |
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"Nothing", |
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"Number", |
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"NumberedVerticalList", |
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"OL", |
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"OneExpression", |
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"Option", |
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"OptionTable", |
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"OrderedMonoid", |
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"PARA", |
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"PRE", |
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"Package", |
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"Parenthesize", |
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"Parser", |
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"Partition", |
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"PolynomialRing", |
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"Power", |
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"Product", |
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"ProductOrder", |
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"Program", |
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"ProgramRun", |
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"ProjectiveHilbertPolynomial", |
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"ProjectiveVariety", |
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"Pseudocode", |
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"PseudocodeClosure", |
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"QQ", |
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"QuotientRing", |
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"RR", |
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"RRi", |
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"RealField", |
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"Resolution", |
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"Ring", |
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"RingElement", |
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"RingFamily", |
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"RingMap", |
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"RowExpression", |
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"SAMP", |
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"SCRIPT", |
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"SMALL", |
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"SPAN", |
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"STRONG", |
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"STYLE", |
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"SUB", |
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"SUBSECTION", |
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"SUP", |
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"ScriptedFunctor", |
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"SelfInitializingType", |
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"Sequence", |
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"Set", |
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"SheafExpression", |
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"SheafMap", |
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"SheafOfRings", |
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"SparseMonomialVectorExpression", |
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"SparseVectorExpression", |
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"String", |
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"Subscript", |
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"Sum", |
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"SumOfTwists", |
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"Superscript", |
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"Symbol", |
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"SymbolBody", |
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"TABLE", |
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"TD", |
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"TEX", |
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"TH", |
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"TITLE", |
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"TO", |
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"TO2", |
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"TOH", |
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"TR", |
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"TT", |
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"Table", |
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"Tally", |
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"Task", |
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"TensorProduct", |
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"TestInput", |
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"Thing", |
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"Time", |
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"Type", |
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"UL", |
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"URL", |
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"VAR", |
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"Variety", |
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"Vector", |
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"VectorExpression", |
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"VerticalList", |
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"VirtualTally", |
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"VisibleList", |
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"WrapperType", |
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"ZZ", |
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"ZeroExpression" |
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) |
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M2FUNCTIONS = ( |
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"BesselJ", |
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"BesselY", |
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"Beta", |
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"Digamma", |
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"EXAMPLE", |
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"End", |
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"Fano", |
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"GCstats", |
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"GF", |
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"Gamma", |
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"Grassmannian", |
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"Hom", |
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"LLL", |
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"LUdecomposition", |
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"M2CODE", |
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"NNParser", |
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"Proj", |
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"QQParser", |
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"QRDecomposition", |
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"SVD", |
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"SYNOPSIS", |
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"Schubert", |
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"Spec", |
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"ZZParser", |
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"about", |
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"abs", |
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"accumulate", |
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"acos", |
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"acosh", |
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"acot", |
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"acoth", |
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"addCancelTask", |
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"addDependencyTask", |
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"addEndFunction", |
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"addHook", |
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"addStartTask", |
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"adjoint", |
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"agm", |
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"alarm", |
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"all", |
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"ambient", |
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"analyticSpread", |
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"ancestor", |
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"ancestors", |
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"andP", |
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"ann", |
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"annihilator", |
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"antipode", |
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"any", |
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"append", |
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"applicationDirectory", |
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"apply", |
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"applyKeys", |
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"applyPairs", |
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"applyTable", |
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"applyValues", |
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"apropos", |
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"arXiv", |
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"ascii", |
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"asin", |
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"asinh", |
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"ass", |
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"assert", |
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"associatedGradedRing", |
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"associatedPrimes", |
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"atEndOfFile", |
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"atan", |
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"atan2", |
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"atanh", |
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"autoload", |
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"baseFilename", |
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"baseName", |
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"baseRing", |
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"basis", |
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"beginDocumentation", |
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"benchmark", |
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"betti", |
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"between", |
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"binomial", |
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"borel", |
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"cacheValue", |
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"cancelTask", |
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"canonicalBundle", |
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"capture", |
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"ceiling", |
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"centerString", |
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"chainComplex", |
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"changeBase", |
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"changeDirectory", |
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"char", |
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"charAnalyzer", |
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"characters", |
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"check", |
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"checkDegrees", |
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"chi", |
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"class", |
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"clean", |
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"clearEcho", |
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"code", |
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"codim", |
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"coefficient", |
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"coefficientRing", |
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"coefficients", |
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"cohomology", |
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"coimage", |
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"coker", |
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"cokernel", |
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"collectGarbage", |
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"columnAdd", |
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"columnMult", |
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"columnPermute", |
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"columnRankProfile", |
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"columnSwap", |
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"columnate", |
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"combine", |
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"commandInterpreter", |
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"commonRing", |
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"commonest", |
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"comodule", |
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"compareExchange", |
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"complement", |
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"complete", |
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"components", |
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"compose", |
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"compositions", |
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"compress", |
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"concatenate", |
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"conductor", |
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"cone", |
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"conjugate", |
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"connectionCount", |
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"constParser", |
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"content", |
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"contract", |
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"conwayPolynomial", |
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"copy", |
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"copyDirectory", |
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"copyFile", |
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"cos", |
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"cosh", |
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"cot", |
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"cotangentSheaf", |
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"coth", |
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"cover", |
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"coverMap", |
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"cpuTime", |
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"createTask", |
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"csc", |
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"csch", |
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"currentColumnNumber", |
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"currentDirectory", |
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"currentPosition", |
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"currentRowNumber", |
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"currentTime", |
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"deadParser", |
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"debug", |
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"debugError", |
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"decompose", |
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"deepSplice", |
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"default", |
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"degree", |
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"degreeGroup", |
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"degreeLength", |
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"degrees", |
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"degreesMonoid", |
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"degreesRing", |
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"delete", |
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"demark", |
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"denominator", |
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"depth", |
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"describe", |
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"det", |
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"determinant", |
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"diagonalMatrix", |
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"diameter", |
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"dictionary", |
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"diff", |
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"difference", |
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"dim", |
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"directSum", |
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"disassemble", |
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"discriminant", |
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"dismiss", |
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"distinguished", |
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"divideByVariable", |
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"doc", |
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"document", |
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"drop", |
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"dual", |
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"eagonNorthcott", |
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"echoOff", |
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"echoOn", |
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"eigenvalues", |
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"eigenvectors", |
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"eint", |
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"elements", |
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"eliminate", |
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"endPackage", |
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"entries", |
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"erase", |
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"erf", |
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"erfc", |
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"error", |
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"euler", |
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"eulers", |
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"even", |
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"examples", |
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"exchange", |
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"exec", |
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"exp", |
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"expectedReesIdeal", |
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"expm1", |
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"exponents", |
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"export", |
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"exportFrom", |
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"exportMutable", |
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"expression", |
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"extend", |
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"exteriorPower", |
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"factor", |
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"fileExecutable", |
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"fileExists", |
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"fileLength", |
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"fileMode", |
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"fileReadable", |
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"fileTime", |
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"fileWritable", |
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"fillMatrix", |
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"findFiles", |
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"findHeft", |
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"findProgram", |
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"findSynonyms", |
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"first", |
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"firstkey", |
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"fittingIdeal", |
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"flagLookup", |
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"flatten", |
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"flattenRing", |
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"flip", |
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"floor", |
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"fold", |
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"forceGB", |
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"fork", |
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"format", |
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"formation", |
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"frac", |
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"fraction", |
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"frames", |
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"fromDividedPowers", |
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"fromDual", |
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"functionBody", |
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"futureParser", |
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"gb", |
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"gbRemove", |
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"gbSnapshot", |
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"gcd", |
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"gcdCoefficients", |
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"gcdLLL", |
|
"genera", |
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"generateAssertions", |
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"generator", |
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"generators", |
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"genericMatrix", |
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"genericSkewMatrix", |
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"genericSymmetricMatrix", |
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"gens", |
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"genus", |
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"get", |
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"getChangeMatrix", |
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"getGlobalSymbol", |
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"getIOThreadMode", |
|
"getNetFile", |
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"getNonUnit", |
|
"getPrimeWithRootOfUnity", |
|
"getSymbol", |
|
"getWWW", |
|
"getc", |
|
"getenv", |
|
"globalAssign", |
|
"globalAssignFunction", |
|
"globalAssignment", |
|
"globalReleaseFunction", |
|
"gradedModule", |
|
"gradedModuleMap", |
|
"gramm", |
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"graphIdeal", |
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"graphRing", |
|
"groebnerBasis", |
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"groupID", |
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"hash", |
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"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" |
|
) |
|
|
|
M2CONSTANTS = ( |
|
"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", |
|
"NAGtypes", |
|
"Name", |
|
"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", |
|
"TeXmacs", |
|
"Text", |
|
"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", |
|
"XML" |
|
) |
|
|
|
class Macaulay2Lexer(RegexLexer): |
|
"""Lexer for Macaulay2, a software system for research in algebraic geometry.""" |
|
|
|
name = 'Macaulay2' |
|
url = 'https://macaulay2.com/' |
|
aliases = ['macaulay2'] |
|
filenames = ['*.m2'] |
|
version_added = '2.12' |
|
|
|
tokens = { |
|
'root': [ |
|
(r'--.*$', Comment.Single), |
|
(r'-\*', Comment.Multiline, 'block comment'), |
|
(r'"', String, 'quote string'), |
|
(r'///', String, 'slash string'), |
|
(words(M2KEYWORDS, prefix=r'\b', suffix=r'\b'), Keyword), |
|
(words(M2DATATYPES, prefix=r'\b', suffix=r'\b'), Name.Builtin), |
|
(words(M2FUNCTIONS, prefix=r'\b', suffix=r'\b'), Name.Function), |
|
(words(M2CONSTANTS, prefix=r'\b', suffix=r'\b'), Name.Constant), |
|
(r'\s+', Text.Whitespace), |
|
(r'.', Text) |
|
], |
|
'block comment' : [ |
|
(r'[^*-]+', Comment.Multiline), |
|
(r'\*-', Comment.Multiline, '#pop'), |
|
(r'[*-]', Comment.Multiline) |
|
], |
|
'quote string' : [ |
|
(r'[^\\"]+', String), |
|
(r'"', String, '#pop'), |
|
(r'\\"?', String), |
|
], |
|
'slash string' : [ |
|
(r'[^/]+', String), |
|
(r'(//)+(?!/)', String), |
|
(r'/(//)+(?!/)', String, '#pop'), |
|
(r'/', String) |
|
] |
|
} |
|
|