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polytools[minpoly] - find minimum polynomial from an approximate root
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Calling Sequence
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minpoly(r, n)
minpoly(r, n, acc)
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Parameters
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r
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approximate root
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n
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degree of the polynomial sought
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acc
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desired accuracy of the approximation
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Description
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The minpoly function uses the lattice algorithm to find a polynomial of degree n (or less) with small integer coefficients which has the given approximation r of an algebraic number as one of its roots.
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The root r may be real or complex. It may be input as a floating-point approximation to a root or as an exact algebraic number. In the latter case, it will first be evaluated in floating-point at Digits precision.
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If a third argument is specified, then the value  is given the same weight as the coefficients in determining the polynomial. The default value for acc is 10^(Digits-2).
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Download Help Document
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