fq_nmod_embed_dual_to_mono_matrix
Synopsis
#include <flint/fq_nmod_embed.h>void fq_nmod_embed_dual_to_mono_matrix(nmod_mat_t res, const fq_nmod_ctx_t ctx)Sets the d \times d matrix res to the inverse of fq_nmod_embed_mono_to_dual_matrix. By Euler's formula the dual basis of 1, x, \ldots, x^{d-1} is b_0 / f'(x), \ldots, b_{d-1} / f'(x), where f(X)/(X - x) = \sum b_j X^j, so the matrix is the product of the multiplication matrix of 1/f'(x) and the Hankel matrix of the coefficients of f.
Generated from the same template as fq_embed_dual_to_mono_matrix, whose documentation has the details.
Cite this page
The FLINT team, “fq_nmod_embed_dual_to_mono_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_dual_to_mono_matrix.html (generated 2026-10-20).
@misc{flint-doc-fq-nmod-embed-fq-nmod-embed-dual-to-mono-matrix,
author = {{The FLINT team}},
title = {{fq\_nmod\_embed\_dual\_to\_mono\_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_dual_to_mono_matrix.html},
note = {Generated 2026-10-20}
}