fq_poly_roots
Synopsis
#include <flint/fq_poly_factor.h>void fq_poly_roots(fq_poly_factor_t r, const fq_poly_t f, int with_multiplicity, const fq_ctx_t ctx)Sets r to the roots of the nonzero polynomial f in \mathbb{F}_q, stored as the monic linear factors x - a. If with_multiplicity is nonzero, the exponents are the multiplicities of the roots; otherwise they are 1. Previous contents of r are discarded. This is a wrapper of gr_poly_roots_finite_field, which splits \gcd(f, x^q - x) by equal-degree factorisation; see Roots of polynomials over finite fields.
Cite this page
The FLINT team, “fq_poly_roots (fq_poly_factor.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_poly_factor/fq_poly_roots.html (generated 2026-10-20).
@misc{flint-doc-fq-poly-factor-fq-poly-roots,
author = {{The FLINT team}},
title = {{fq\_poly\_roots (fq\_poly\_factor.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fq_poly_factor/fq_poly_roots.html},
note = {Generated 2026-10-20}
}