arb/dirichlet/pairing_char.c

26 lines
724 B
C

/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "dirichlet.h"
ulong
dirichlet_pairing_char(const dirichlet_group_t G, const dirichlet_char_t chi, const dirichlet_char_t x)
{
ulong v = 0, k;
nmod_t order;
nmod_init(&order, G->expo);
for (k = 0; k < G->num; k++)
v = nmod_add(v, G->PHI[k] * nmod_mul(chi->log[k], x->log[k], G->P[k].phi), order);
return v;
}