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https://github.com/vale981/arb
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45 lines
1.1 KiB
C
45 lines
1.1 KiB
C
/*
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Copyright (C) 2016 Pascal Molin
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "dirichlet.h"
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ulong
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dirichlet_conductor_char(const dirichlet_group_t G, const dirichlet_char_t x)
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{
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int k, f;
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ulong cond = 1;
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if (G->neven >= 1 && x->log[0] == 1)
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cond = 4;
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if (G->neven == 2 && x->log[1])
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{
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ulong l2 = x->log[1];
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f = n_remove(&l2, 2);
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cond = UWORD(1) << (G->P[1].e - f);
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}
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for (k = G->neven; k < G->num; k++)
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{
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if (x->log[k])
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{
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ulong p, lp;
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p = G->P[k].p;
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lp = x->log[k];
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f = n_remove(&lp, p);
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if (f)
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cond *= n_pow(p, G->P[k].e - f);
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else
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cond *= G->P[k].pe.n;
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}
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}
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return cond;
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}
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