838 lines
19 KiB
Text
Generated
838 lines
19 KiB
Text
Generated
'#@local checkEuclideanRing\n' Generic.Output
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'gap> ' Generic.Prompt
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'START_TEST' Name.Variable
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'(' Punctuation
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'"euclidean.tst"' Literal.String
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'\n' Generic.Output
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'# test consistency of EuclideanDegree, EuclideanQuotient, EuclideanRemainder,\n' Generic.Output
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'# and QuotientRemainder for some ring and elements of it\n' Generic.Output
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'gap> ' Generic.Prompt
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'checkEuclideanRing' Name.Variable
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' ' Text
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':=' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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'function' Keyword
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'colls' Name.Variable
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'.' Operator
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'.' Operator
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'.' Operator
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')' Punctuation
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'local' Keyword
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' ' Text
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'coll1' Name.Variable
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',' Operator
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' ' Text
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'coll2' Name.Variable
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',' Operator
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' ' Text
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'a' Name.Variable
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',' Operator
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' ' Text
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'b' Name.Variable
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',' Operator
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' ' Text
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'deg_b' Name.Variable
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',' Operator
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' ' Text
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'deg_r' Name.Variable
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',' Operator
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' ' Text
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'q' Name.Variable
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',' Operator
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' ' Text
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'r' Name.Variable
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',' Operator
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' ' Text
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'qr' Name.Variable
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'if' Keyword
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' ' Text
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'Length' Name.Variable
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'(' Punctuation
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'colls' Name.Variable
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')' Punctuation
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' ' Text
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'>' Operator
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'=' Operator
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' ' Text
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'1' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'coll1' Name.Variable
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':=' Operator
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'colls' Name.Variable
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'[' Punctuation
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'1' Name.Variable
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']' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'elif' Keyword
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' ' Text
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'Size' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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')' Punctuation
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' ' Text
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'<' Operator
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'=' Operator
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' ' Text
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'100' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'coll1' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'R' Name.Variable
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'else' Keyword
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' ' Text
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'coll1' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'List' Name.Variable
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'(' Punctuation
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'[' Punctuation
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'1' Name.Variable
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'.' Operator
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'.' Operator
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'100' Name.Variable
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']' Punctuation
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',' Operator
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'i' Name.Variable
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'-' Operator
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'>' Operator
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'Random' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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')' Punctuation
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'fi' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'if' Keyword
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' ' Text
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'Length' Name.Variable
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'(' Punctuation
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'colls' Name.Variable
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')' Punctuation
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' ' Text
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'>' Operator
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'=' Operator
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' ' Text
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'2' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'coll2' Name.Variable
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':=' Operator
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'colls' Name.Variable
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'[' Punctuation
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'2' Name.Variable
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']' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'elif' Keyword
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' ' Text
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'Size' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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')' Punctuation
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' ' Text
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'<' Operator
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'=' Operator
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' ' Text
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'100' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'coll2' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'R' Name.Variable
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'else' Keyword
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' ' Text
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'coll2' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'List' Name.Variable
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'(' Punctuation
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'[' Punctuation
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'1' Name.Variable
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'.' Operator
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'.' Operator
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'100' Name.Variable
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']' Punctuation
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',' Operator
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'i' Name.Variable
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'-' Operator
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'>' Operator
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'Random' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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')' Punctuation
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'fi' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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'for' Keyword
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' ' Text
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'b' Name.Variable
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' ' Text
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'in' Operator.Word
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' ' Text
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'coll1' Name.Variable
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' ' Text
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'do' Keyword
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'if' Keyword
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' ' Text
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'IsZero' Name.Variable
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'(' Punctuation
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'b' Name.Variable
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')' Punctuation
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' ' Text
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'then' Keyword
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' ' Text
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'continue' Keyword
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';' Operator
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' ' Text
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'fi' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'deg_b' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'EuclideanDegree' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'b' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'for' Keyword
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' ' Text
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'a' Name.Variable
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' ' Text
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'in' Operator.Word
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' ' Text
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'coll2' Name.Variable
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' ' Text
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'do' Keyword
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'q' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'EuclideanQuotient' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'a' Name.Variable
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',' Operator
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' ' Text
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'b' Name.Variable
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')' Punctuation
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';' Operator
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' ' Text
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'Assert' Keyword
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'(' Punctuation
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'0' Name.Variable
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',' Operator
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' ' Text
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'q' Name.Variable
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' ' Text
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'in' Operator.Word
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' ' Text
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'R' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'r' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'EuclideanRemainder' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'a' Name.Variable
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',' Operator
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' ' Text
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'b' Name.Variable
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')' Punctuation
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';' Operator
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' ' Text
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'Assert' Keyword
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'(' Punctuation
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'0' Name.Variable
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',' Operator
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' ' Text
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'r' Name.Variable
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' ' Text
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'in' Operator.Word
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' ' Text
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'R' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'if' Keyword
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' ' Text
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'a' Name.Variable
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' ' Text
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'<' Operator
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'>' Operator
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' ' Text
|
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'q' Name.Variable
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'*' Operator
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'b' Name.Variable
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' ' Text
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'+' Operator
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' ' Text
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'r' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'Error' Name.Variable
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'(' Punctuation
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'"a <> q*b + r for "' Literal.String
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',' Operator
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' ' Text
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'[' Punctuation
|
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'R' Name.Variable
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',' Operator
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'a' Name.Variable
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',' Operator
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'b' Name.Variable
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']' Punctuation
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')' Punctuation
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';' Operator
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' ' Text
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'fi' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
|
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' ' Text
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' ' Text
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'deg_r' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'EuclideanDegree' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'r' Name.Variable
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')' Punctuation
|
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'if' Keyword
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' ' Text
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'not' Operator.Word
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' ' Text
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'IsZero' Name.Variable
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'(' Punctuation
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'r' Name.Variable
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')' Punctuation
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' ' Text
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'and' Operator.Word
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' ' Text
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'deg_r' Name.Variable
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' ' Text
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'>' Operator
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'=' Operator
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' ' Text
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'deg_b' Name.Variable
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' ' Text
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'then' Keyword
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' ' Text
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'Error' Name.Variable
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'(' Punctuation
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'"Euclidean degree did not decrease for "' Literal.String
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',' Operator
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'[' Punctuation
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'R' Name.Variable
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',' Operator
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'a' Name.Variable
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',' Operator
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'b' Name.Variable
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']' Punctuation
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')' Punctuation
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';' Operator
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' ' Text
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'fi' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
|
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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'qr' Name.Variable
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' ' Text
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':=' Operator
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' ' Text
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'QuotientRemainder' Name.Variable
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'(' Punctuation
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'R' Name.Variable
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',' Operator
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' ' Text
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'a' Name.Variable
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',' Operator
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' ' Text
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'b' Name.Variable
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')' Punctuation
|
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
|
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
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' ' Text
|
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'if' Keyword
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' ' Text
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'qr' Name.Variable
|
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' ' Text
|
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'<' Operator
|
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'>' Operator
|
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' ' Text
|
|
'[' Punctuation
|
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'q' Name.Variable
|
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',' Operator
|
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' ' Text
|
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'r' Name.Variable
|
|
']' Punctuation
|
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' ' Text
|
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'then' Keyword
|
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' ' Text
|
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'Error' Name.Variable
|
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'(' Punctuation
|
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'"QuotientRemainder inconsistent for "' Literal.String
|
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',' Operator
|
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' ' Text
|
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'[' Punctuation
|
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'R' Name.Variable
|
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',' Operator
|
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'a' Name.Variable
|
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',' Operator
|
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'b' Name.Variable
|
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']' Punctuation
|
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')' Punctuation
|
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';' Operator
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' ' Text
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'fi' Keyword
|
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';' Operator
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'\n' Text.Whitespace
|
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'> ' Generic.Prompt
|
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' ' Text
|
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' ' Text
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' ' Text
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' ' Text
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'od' Keyword
|
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';' Operator
|
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'\n' Text.Whitespace
|
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'> ' Generic.Prompt
|
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' ' Text
|
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' ' Text
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'od' Keyword
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
|
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' ' Text
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' ' Text
|
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'return' Keyword
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' ' Text
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'true' Name.Constant
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';' Operator
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'\n' Text.Whitespace
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'> ' Generic.Prompt
|
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'end' Keyword
|
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';' Operator
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';' Operator
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'\n' Text.Whitespace
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'\n' Generic.Output
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'# rings in characteristic 0\n' Generic.Output
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'gap> ' Generic.Prompt
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'checkEuclideanRing' Name.Variable
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'(' Punctuation
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'Integers' Name.Variable
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',' Operator
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'[' Punctuation
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'-' Operator
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'100' Name.Variable
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'.' Operator
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'.' Operator
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'100' Name.Variable
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']' Punctuation
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',' Operator
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'[' Punctuation
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'-' Operator
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'100' Name.Variable
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'.' Operator
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'.' Operator
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'100' Name.Variable
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']' Punctuation
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'true\n' Generic.Output
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'gap> ' Generic.Prompt
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'checkEuclideanRing' Name.Variable
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'(' Punctuation
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'Rationals' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'true\n' Generic.Output
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'gap> ' Generic.Prompt
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'checkEuclideanRing' Name.Variable
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'(' Punctuation
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'GaussianIntegers' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'true\n' Generic.Output
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'gap> ' Generic.Prompt
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'checkEuclideanRing' Name.Variable
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'(' Punctuation
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'GaussianRationals' Name.Variable
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')' Punctuation
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';' Operator
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'\n' Text.Whitespace
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'true\n' Generic.Output
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'\n' Generic.Output
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'# finite fields\n' Generic.Output
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'gap> ' Generic.Prompt
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'ForAll' Name.Variable
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'(' Punctuation
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'Filtered' Name.Variable
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'(' Punctuation
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'[' Punctuation
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'2' Name.Variable
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'.' Operator
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'.' Operator
|
|
'50' Name.Variable
|
|
']' Punctuation
|
|
',' Operator
|
|
' ' Text
|
|
'IsPrimePowerInt' Name.Variable
|
|
')' Punctuation
|
|
',' Operator
|
|
' ' Text
|
|
'q' Name.Variable
|
|
'-' Operator
|
|
'>' Operator
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'GF' Name.Variable
|
|
'(' Punctuation
|
|
'q' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'\n' Generic.Output
|
|
|
|
'# ZmodnZ\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'ForAll' Name.Variable
|
|
'(' Punctuation
|
|
'[' Punctuation
|
|
'1' Name.Variable
|
|
'.' Operator
|
|
'.' Operator
|
|
'50' Name.Variable
|
|
']' Punctuation
|
|
',' Operator
|
|
' ' Text
|
|
'm' Name.Variable
|
|
' ' Text
|
|
'-' Operator
|
|
'>' Operator
|
|
' ' Text
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'Integers' Name.Variable
|
|
' ' Text
|
|
'mod' Operator.Word
|
|
' ' Text
|
|
'm' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'Integers' Name.Variable
|
|
' ' Text
|
|
'mod' Operator.Word
|
|
' ' Text
|
|
'(' Punctuation
|
|
'(' Punctuation
|
|
'2' Name.Variable
|
|
'*' Operator
|
|
'3' Name.Variable
|
|
'*' Operator
|
|
'5' Name.Variable
|
|
')' Punctuation
|
|
'^' Operator
|
|
'2' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'Integers' Name.Variable
|
|
' ' Text
|
|
'mod' Operator.Word
|
|
' ' Text
|
|
'(' Punctuation
|
|
'(' Punctuation
|
|
'2' Name.Variable
|
|
'*' Operator
|
|
'3' Name.Variable
|
|
'*' Operator
|
|
'5' Name.Variable
|
|
')' Punctuation
|
|
'^' Operator
|
|
'3' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'Integers' Name.Variable
|
|
' ' Text
|
|
'mod' Operator.Word
|
|
' ' Text
|
|
'(' Punctuation
|
|
'(' Punctuation
|
|
'2' Name.Variable
|
|
'*' Operator
|
|
'3' Name.Variable
|
|
'*' Operator
|
|
'5' Name.Variable
|
|
'*' Operator
|
|
'7' Name.Variable
|
|
')' Punctuation
|
|
'^' Operator
|
|
'2' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'checkEuclideanRing' Name.Variable
|
|
'(' Punctuation
|
|
'Integers' Name.Variable
|
|
' ' Text
|
|
'mod' Operator.Word
|
|
' ' Text
|
|
'(' Punctuation
|
|
'(' Punctuation
|
|
'2' Name.Variable
|
|
'*' Operator
|
|
'3' Name.Variable
|
|
'*' Operator
|
|
'5' Name.Variable
|
|
'*' Operator
|
|
'7' Name.Variable
|
|
')' Punctuation
|
|
'^' Operator
|
|
'3' Name.Variable
|
|
')' Punctuation
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|
|
|
|
'true\n' Generic.Output
|
|
|
|
'\n' Generic.Output
|
|
|
|
'#\n' Generic.Output
|
|
|
|
'gap> ' Generic.Prompt
|
|
'STOP_TEST' Name.Variable
|
|
'(' Punctuation
|
|
' ' Text
|
|
'"euclidean.tst"' Literal.String
|
|
',' Operator
|
|
' ' Text
|
|
'1' Name.Variable
|
|
')' Punctuation
|
|
';' Operator
|
|
'\n' Text.Whitespace
|