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https://github.com/vale981/arb
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67 lines
1.8 KiB
C
67 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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/* TODO: product of local conductors */
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ulong
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acb_dirichlet_ui_conductor(const acb_dirichlet_group_t G, ulong a)
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{
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slong k;
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ulong ap, cond;
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cond = 1;
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for (k = (G->neven == 2); k < G->num; k++)
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{
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ulong p;
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nmod_t pe;
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p = G->P[k].p;
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pe = G->P[k].pe;
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ap = a % pe.n;
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if (ap == 1)
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continue;
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if (p == 2)
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{
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cond = 4;
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if (a % 4 == 3)
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ap = pe.n - ap;
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}
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else
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{
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cond *= p;
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ap = nmod_pow_ui(ap, p - 1, pe);
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}
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while (ap != 1)
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{
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cond *= p;
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ap = nmod_pow_ui(ap, p, pe);
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}
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}
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return cond;
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}
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