FLINT3.7.0-dev

fq_zech_embed_gens

Synopsis#include <flint/fq_zech_embed.h>
void fq_zech_embed_gens(fq_zech_t gen_sub, fq_zech_t gen_sup, nmod_poly_t minpoly, const fq_zech_ctx_t sub_ctx, const fq_zech_ctx_t sup_ctx)

Given contexts for fields k = sub_ctx of degree m and K = sup_ctx of degree n with m \mid n, computes a generator gen_sub of k over \mathbb{F}_p, its minimal polynomial minpoly, and a root gen_sup of minpoly in K. These data define the embedding k \to K that maps gen_sub to gen_sup.

Generated from the same template as fq_embed_gens, whose documentation has the details.

Cite this page

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