fmpz_poly_hensel_lift_once
Synopsis
#include <flint/fmpz_poly.h>void fmpz_poly_hensel_lift_once(fmpz_poly_factor_t lifted_fac, const fmpz_poly_t f, const nmod_poly_factor_t local_fac, slong N)sourceLifts the r \ge 2 factors in local_fac of f modulo a prime p (the modulus of the factors) to factors modulo p^N, stored in the same order in lifted_fac. The factors must be monic, pairwise coprime, of product f / \operatorname{lc}(f) modulo p, and \operatorname{lc}(f) must not be divisible by p; the lifted factors are monic with product f / \operatorname{lc}(f) modulo p^N. The lift cannot be continued afterwards.
Cite this page
The FLINT team, “fmpz_poly_hensel_lift_once (fmpz_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_poly/fmpz_poly_hensel_lift_once.html (generated 2026-10-20).
@misc{flint-doc-fmpz-poly-fmpz-poly-hensel-lift-once,
author = {{The FLINT team}},
title = {{fmpz\_poly\_hensel\_lift\_once (fmpz\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_poly/fmpz_poly_hensel_lift_once.html},
note = {Generated 2026-10-20}
}