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numtheory[cfracpol] - compute simple continued fraction expansions for all real roots of a rational polynomial
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Calling Sequence
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cfracpol(pol, n)
cfracpol(pol)
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Parameters
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pol
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rational polynomial
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n
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integer (n + 1 is the number of partial quotients)
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Description
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The cfracpol function returns simple continued fraction expansions of all real roots of a rational polynomial pol. Each expansion is given in list form with at most  quotients. If the second argument n is not present, it defaults to 10.
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The command with(numtheory,cfracpol) allows the use of the abbreviated form of this command.
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Examples
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![[-2, 22, 1, 7, 2, 1, 1, 2, 1, 2, 1, 17, 4, 4, 1, 1, 4, 2, 18, 1, 10, `...`], [-1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2, 4, 5, 18, `...`], [1, 2, 1, 21, 1, 7, 2, 1, 1, 2, 1, 2, 1, 17, 4, 4, 1, 1, 4, 2, 18, `...`], [1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2, 4, 5, 18, `...`]](/support/helpjp/helpview.aspx?si=6977/file04297/math78.png)
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![[-2, 44, 1, 3, 3, 1, 1, 1, 3, 2, 3, `...`], [-2, 1, 1, 6, 1, 7, 34, 1, 12, 1, 5, `...`], [0, 6, 1, 2, 4, 3, 1, 1, 3, 1, 63, `...`], [0, 1, 2, 1, 2, 2, 16, 1, 1, 5, 11, `...`], [1, 1, 1, 1, 7, 6, 10, 2, 29, 20, 1, `...`], [1, 1, 10, 3, 1, 13, 1, 1, 3, 1, 4, `...`]](/support/helpjp/helpview.aspx?si=6977/file04297/math85.png)
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![[-1, 1, 41, 7, 1, 7, 34, 1, 12, 1, 5, `...`], [-1, 1, 42, 1, 1, 6, 1, 2, 4, 3, 1, `...`], [-1, 1, 42, 1, 1, 1, 2, 1, 2, 2, 16, `...`], [-1, 1, 42, 1, 2, 1, 1, 1, 7, 6, 10, `...`], [-1, 1, 42, 1, 2, 1, 10, 3, 1, 13, 1, `...`], [1, 3, 3, 1, 1, 1, 3, 2, 3, 4, 1, `...`]](/support/helpjp/helpview.aspx?si=6977/file04297/math96.png)
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![[-3, 1, 1, 1, 14, 1, 4], [-2, 44, 1, 3, 3, 1, 1, 1, 3, 2, 3, `...`], [-2, 1, 1, 6, 1, 7, 34, 1, 12, 1, 5, `...`], [0, 6, 1, 2, 4, 3, 1, 1, 3, 1, 63, `...`], [0, 1, 2, 1, 2, 2, 16, 1, 1, 5, 11, `...`], [1, 1, 1, 1, 7, 6, 10, 2, 29, 20, 1, `...`], [1, 1, 10, 3, 1, 13, 1, 1, 3, 1, 4, `...`]](/support/helpjp/helpview.aspx?si=6977/file04297/math103.png)
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