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AFactor

inert absolute factorization

 Calling Sequence AFactor(p)

Parameters

 p - multivariate polynomial

Description

 • The AFactor function is a placeholder for representing an absolute factorization of the polynomial p, that is a factorization over an algebraic closure of its coefficient field. It is used in conjunction with evala.
 • The call evala(AFactor(p)) computes the factorization of the polynomial p over the field of complex numbers. The polynomial p must have algebraic number coefficients.
 • In the case of a univariate polynomial, the absolute factorization is just the decomposition into linear factors.

Examples

 > $\mathrm{evala}\left(\mathrm{AFactor}\left({x}^{2}-2{y}^{2}\right)\right)$
 $\left({x}{-}{\mathrm{RootOf}}{}\left({{\mathrm{_Z}}}^{{2}}{-}{2}\right){}{y}\right){}\left({x}{+}{\mathrm{RootOf}}{}\left({{\mathrm{_Z}}}^{{2}}{-}{2}\right){}{y}\right)$ (1)