acb_siegel_is_reduced
Synopsis
#include <flint/acb_theta.h>Returns nonzero if \tau is certainly in the reduced domain with tolerance \varepsilon = 2^{\mathit{tol\_exp}}: |\operatorname{Re}(\tau_{j,k})| \le \frac12 + \varepsilon for all j, k, Y passes arb_mat_spd_is_lll_reduced with parameters (0.99 - \varepsilon, 0.51 + \varepsilon), and |\det(\gamma\tau + \delta)| \ge 1 - \varepsilon for every fundamental matrix of sp2gz_fundamental.
Guides#
Cite this page
The FLINT team, “acb_siegel_is_reduced (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/acb_siegel_is_reduced.html (generated 2026-10-20).
@misc{flint-doc-acb-theta-acb-siegel-is-reduced,
author = {{The FLINT team}},
title = {{acb\_siegel\_is\_reduced (acb\_theta.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_theta/acb_siegel_is_reduced.html},
note = {Generated 2026-10-20}
}