_nf_elem_norm, nf_elem_norm
Synopsis
#include <flint/nf_elem.h>Set the rational number rnum/rden, respectively res, to the absolute norm N_{K/\mathbf{Q}}(a), the product of the conjugates of a. It is computed as \operatorname{Res}(f, a) divided by the appropriate power of the leading coefficient of f; the resultant of the primitive parts is computed by _fmpz_poly_resultant, which uses the multimodular algorithm for large inputs and a pseudo-remainder (subresultant-type) Euclidean algorithm otherwise (Norm).
Guides#
Cite this page
The FLINT team, “_nf_elem_norm, nf_elem_norm (nf_elem.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/nf_elem/_nf_elem_norm.html (generated 2026-10-20).
@misc{flint-doc-nf-elem-nf-elem-norm,
author = {{The FLINT team}},
title = {{\_nf\_elem\_norm, nf\_elem\_norm (nf\_elem.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/nf_elem/_nf_elem_norm.html},
note = {Generated 2026-10-20}
}