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1815 lines
33 KiB
Python
1815 lines
33 KiB
Python
"""
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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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# Auto-generated for Macaulay2-1.24.11. Do not modify this file manually.
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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",
|
|
"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",
|
|
"csc",
|
|
"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",
|
|
"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",
|
|
"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",
|
|
"format",
|
|
"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",
|
|
"futureParser",
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|
"gb",
|
|
"gbRemove",
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"gbSnapshot",
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"gcd",
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"gcdCoefficients",
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"gcdLLL",
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"genera",
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|
"generateAssertions",
|
|
"generator",
|
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"generators",
|
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"genericMatrix",
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"genericSkewMatrix",
|
|
"genericSymmetricMatrix",
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"gens",
|
|
"genus",
|
|
"get",
|
|
"getChangeMatrix",
|
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"getGlobalSymbol",
|
|
"getIOThreadMode",
|
|
"getNetFile",
|
|
"getNonUnit",
|
|
"getPrimeWithRootOfUnity",
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|
"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",
|
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"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)
|
|
]
|
|
}
|