`acb_siegel_is_reduced`

Synopsis#include <flint/acb_theta.h>

int acb_siegel_is_reduced(const acb_mat_t tau, slong tol_exp, slong prec)source

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#

Characteristics, derivatives and precision

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 2026-11-02).

@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 2026-11-02}
}

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