fq_nmod_embed_mono_to_dual_matrix
#include <flint/fq_nmod_embed.h>void fq_nmod_embed_mono_to_dual_matrix(nmod_mat_t res, const fq_nmod_ctx_t ctx)Sets the d \times d matrix res to the change of basis from the monomial basis 1, x, \ldots, x^{d-1} to its dual basis with respect to the trace form (u, v) \mapsto \operatorname{Tr}(uv): the Hankel matrix with entries \operatorname{Tr}(x^{i+j}), computed from the power series expansion of \operatorname{rev}(f')/\operatorname{rev}(f) (Newton's identities). Mapping a coordinate vector of y by this matrix gives the traces \operatorname{Tr}(y x^i).
Generated from the same template as fq_embed_mono_to_dual_matrix, whose documentation has the details.
The FLINT team, “fq_nmod_embed_mono_to_dual_matrix (fq_nmod_embed.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_nmod_embed/fq_nmod_embed_mono_to_dual_matrix.html (generated 2026-10-20).
@misc{flint-doc-fq-nmod-embed-fq-nmod-embed-mono-to-dual-matrix,
author = {{The FLINT team}},
title = {{fq\_nmod\_embed\_mono\_to\_dual\_matrix (fq\_nmod\_embed.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fq_nmod_embed/fq_nmod_embed_mono_to_dual_matrix.html},
note = {Generated 2026-10-20}
}