FLINT3.7.0-dev

nmod_mpoly_hlift, nmod_mpoly_hlift_zippel

Synopsis#include <flint/nmod_mpoly_factor.h>
int nmod_mpoly_hlift(slong m, nmod_mpoly_struct * f, slong r, const ulong * alpha, const nmod_mpoly_t A, const slong * degs, const nmod_mpoly_ctx_t ctx)source
int nmod_mpoly_hlift_zippel(slong m, nmod_mpoly_struct * B, slong r, const ulong * alpha, const nmod_mpoly_t A, const slong * degs, const nmod_mpoly_ctx_t ctx, flint_rand_t state)source

Given factors f[0], ..., f[r-1] with A = \prod_i f_i modulo x_m - \alpha_{m-1} and degree bounds degs, lift them to a factorisation of A in the variables x_0, \ldots, x_m: by dense Hensel lifting, or by sparse interpolation of the lifted coefficients. Return 1 for success.

Cite this page

The FLINT team, “nmod_mpoly_hlift, nmod_mpoly_hlift_zippel (nmod_mpoly_factor.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/nmod_mpoly_factor/nmod_mpoly_hlift.html (generated 2026-10-20).