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https://github.com/vale981/arb
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56 lines
1.8 KiB
C
56 lines
1.8 KiB
C
/*=============================================================================
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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
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2016 Pascal Molin
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******************************************************************************/
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#include "acb_dirichlet.h"
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ulong
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acb_dirichlet_char_conductor(const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi)
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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 && chi->expo[0] == 1)
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cond = 4;
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if (G->neven == 2 && chi->expo[1])
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{
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ulong l2 = chi->expo[1];
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f = n_remove(&l2, 2);
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cond = G->primepowers[1] >> f;
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}
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for (k = G->neven; k < G->neven; k++)
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{
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if (chi->expo[k])
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{
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ulong p, lp;
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p = G->primes[k];
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lp = chi->expo[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->exponents[k] - f);
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else
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cond *= G->primepowers[k];
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}
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}
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return cond;
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}
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