sp2gz_j, sp2gz_block_diag, sp2gz_trig
Synopsis
#include <flint/acb_theta.h>void sp2gz_j(fmpz_mat_t mat)sourcevoid sp2gz_block_diag(fmpz_mat_t mat, const fmpz_mat_t U)sourcevoid sp2gz_trig(fmpz_mat_t mat, const fmpz_mat_t S)sourceSet mat to J = \begin{pmatrix} 0 & I_g \\ -I_g & 0 \end{pmatrix}, to the block-diagonal matrix \begin{pmatrix} U & 0 \\ 0 & U^{-T} \end{pmatrix} for U \in \mathrm{GL}_g(\mathbb{Z}), and to the trigonal matrix \begin{pmatrix} I_g & S \\ 0 & I_g \end{pmatrix} for a symmetric integer matrix S, respectively.
Cite this page
The FLINT team, “sp2gz_j, sp2gz_block_diag, sp2gz_trig (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/sp2gz_j.html (generated 2026-10-20).
@misc{flint-doc-acb-theta-sp2gz-j,
author = {{The FLINT team}},
title = {{sp2gz\_j, sp2gz\_block\_diag, sp2gz\_trig (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/sp2gz_j.html},
note = {Generated 2026-10-20}
}