/*
Copyright (C) 2016 Pascal Molin
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "dirichlet.h"
void
dirichlet_char_first_primitive(dirichlet_char_t x, const dirichlet_group_t G)
{
ulong k;
if (G->q % 4 == 2)
{
flint_throw(FLINT_ERROR, "Exception (dirichlet_char_first_primitive). No primitive element mod %wu.\n",G->q);
}
x->n = 1;
for (k = 0; k < G->num ; k++)
{
if (k == 0 && G->neven == 2)
x->log[k] = 0;
else
{
x->n = nmod_mul(x->n, G->generators[k], G->mod);
x->log[k] = 1;
}
}
}