FLINT3.7.0-dev

acb_theta_g2_sextic_chi5

Synopsis#include <flint/acb_theta.h>
void acb_theta_g2_sextic_chi5(acb_poly_t res, acb_t chi5, const acb_mat_t tau, slong prec)source

Sets chi5 to χ5(τ)\chi_5(\tau) and res to χ−2,6(τ)=χ3,6/χ5\chi_{-2,6}(\tau) = \chi_{3,6}/\chi_5, the meromorphic form that corresponds to the binary sextic itself under the correspondence with covariants. The matrix τ\tau is reduced, the theta values are computed with acb_theta_jet_notransform, and the transformation law of Siegel modular forms is applied.

Cite this page

The FLINT team, “acb_theta_g2_sextic_chi5 (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/acb_theta_g2_sextic_chi5.html (generated 2026-11-02).