FLINT3.7.0-dev

dirichlet_char_first_primitive

Synopsis#include <flint/dirichlet.h>
void dirichlet_char_first_primitive(dirichlet_char_t x, const dirichlet_group_t G)source

Sets xx to the first primitive character in the order of dirichlet_char_next_primitive, with log [1,…,1][1, \ldots, 1], or [0,1,…,1][0, 1, \ldots, 1] if 8∣q8 \mid q. Throws if q≡2(mod4)q \equiv 2 \pmod 4, where no primitive character exists.

Cite this page

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