FLINT3.7.0-dev

acb_siegel_cocycle, acb_siegel_transform_cocycle_inv, acb_siegel_transform

Synopsis#include <flint/acb_theta.h>
void acb_siegel_cocycle(acb_mat_t c, const fmpz_mat_t mat, const acb_mat_t tau, slong prec)source
void acb_siegel_transform_cocycle_inv(acb_mat_t w, acb_mat_t c, acb_mat_t cinv, const fmpz_mat_t mat, const acb_mat_t tau, slong prec)source
void acb_siegel_transform(acb_mat_t w, const fmpz_mat_t mat, const acb_mat_t tau, slong prec)source

acb_siegel_cocycle sets c to the cocycle \gamma\tau + \delta; acb_siegel_transform sets w to \mathit{mat} \cdot \tau = (\alpha\tau + \beta)(\gamma\tau + \delta)^{-1}; acb_siegel_transform_cocycle_inv computes both and also (\gamma\tau + \delta)^{-1}.

Cite this page

The FLINT team, “acb_siegel_cocycle, acb_siegel_transform_cocycle_inv, acb_siegel_transform (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/acb_siegel_cocycle.html (generated 2026-10-20).