1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
|
/*
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_conductor_char(const dirichlet_group_t G, const dirichlet_char_t x)
{
int k, f;
ulong cond = 1;
if (G->neven >= 1 && x->log[0] == 1)
cond = 4;
if (G->neven == 2 && x->log[1])
{
ulong l2 = x->log[1];
f = n_remove(&l2, 2);
cond = UWORD(1) << (G->P[1].e - f);
}
for (k = G->neven; k < G->num; k++)
{
if (x->log[k])
{
ulong p, lp;
p = G->P[k].p;
lp = x->log[k];
f = n_remove(&lp, p);
if (f)
cond *= n_pow(p, G->P[k].e - f);
else
cond *= G->P[k].pe.n;
}
}
return cond;
}
|
