nmod_mpoly_quadratic_root
Synopsis
#include <flint/nmod_mpoly.h>int nmod_mpoly_quadratic_root(nmod_mpoly_t Q, const nmod_mpoly_t A, const nmod_mpoly_t B, const nmod_mpoly_ctx_t ctx)sourceIf Q^2 + AQ = B has a solution, sets Q to a solution and returns 1; otherwise returns 0. The modulus must be prime. For odd p this completes the square; in characteristic 2, where that is impossible, the equation is solved term by term (Quadratics).
Cite this page
The FLINT team, “nmod_mpoly_quadratic_root (nmod_mpoly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/nmod_mpoly/nmod_mpoly_quadratic_root.html (generated 2026-10-20).
@misc{flint-doc-nmod-mpoly-nmod-mpoly-quadratic-root,
author = {{The FLINT team}},
title = {{nmod\_mpoly\_quadratic\_root (nmod\_mpoly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/nmod_mpoly/nmod_mpoly_quadratic_root.html},
note = {Generated 2026-10-20}
}