flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2024 Albin Ahlbäck

    This file is part of FLINT.

    FLINT 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 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

/* Data is compressed from:
 * https://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/CPimport.txt */

#include <stdint.h>

uint8_t __nmod_poly_cp_primes0[] = {0,1,3,5,9,11,15,17,21,27,29,35,39,41,45,51,57,59,65,69,71,77,81,87,95,99,101,105,107,111,125,129,135,137,147,149,155,161,165,171,177,179,189,191,195,197,209,221,225,227,231,237,239,249,255,0};
uint16_t __nmod_poly_cp_degrees0[] = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,95,96,97,98,100,101,102,103,107,108,109,110,113,114,115,119,120,121,125,126,127,131,132,133,137,139,143,149,150,151,157,163,167,169,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,289,293,307,311,313,317,331,337,347,349,353,359,361,367,373,379,383,389,397,401,409,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,65,66,67,71,72,73,77,79,83,85,89,91,97,101,103,107,109,113,121,127,131,137,139,149,151,157,163,167,169,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,39,41,42,43,47,49,53,55,59,61,67,71,73,79,83,89,97,101,103,107,109,113,121,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,37,41,42,43,47,49,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,223,227,229,241,251,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,35,37,41,43,47,49,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,211,223,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,29,30,31,37,41,43,47,49,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,173,179,191,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,29,30,31,37,41,43,47,49,53,59,61,67,71,73,79,83,89,97,101,103,107,113,127,131,157,163,179,191,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,29,30,31,37,41,43,47,49,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,167,181,199,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,103,107,127,137,151,163,179,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,103,107,109,131,137,139,151,157,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,101,103,107,109,113,137,139,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,49,53,59,61,67,71,73,79,83,97,107,151,157,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,113,149,151,157,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,107,109,131,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,97,101,107,127,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,97,101,107,113,127,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,107,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,89,101,107,109,139,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,89,103,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,97,107,109,131,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,89,101,107,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,109,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97,103,113,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,89,101,107,109,113,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,53,59,61,67,71,73,79,97,113,127,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,25,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,1,2,3,4,5,6,7,8,9,10,11,12,13,17,19,23,29,31,37,41,43,47,0};
uint8_t __nmod_poly_numntcoeffs0[] = {1,2,2,2,3,5,2,5,5,7,3,8,5,8,6,6,4,13,6,11,7,13,6,17,9,15,13,14,3,18,4,16,14,17,12,24,6,15,16,24,4,31,7,25,21,24,6,26,11,30,17,29,7,35,12,34,22,32,7,46,6,33,25,34,16,47,6,36,25,45,6,49,5,38,33,39,16,47,5,49,28,38,8,58,23,44,31,48,7,65,18,49,25,64,7,57,58,8,69,8,8,71,6,69,6,78,26,22,87,14,23,90,2,8,92,26,9,8,25,10,112,4,7,8,7,18,9,5,8,8,9,9,8,10,6,7,10,8,6,9,8,8,10,8,9,8,10,9,23,10,9,8,8,8,8,8,8,7,10,9,21,8,9,10,10,8,9,8,8,1,2,2,4,2,5,3,6,4,7,3,7,2,10,9,8,2,11,3,14,11,12,4,15,7,14,8,15,5,21,4,13,13,19,10,22,4,20,13,24,2,30,4,24,21,23,5,32,9,28,19,29,5,36,15,33,22,4,45,4,18,47,3,5,48,2,18,5,6,20,4,18,4,5,4,4,5,4,14,5,6,2,6,7,3,5,6,4,13,5,6,6,6,7,6,5,5,6,6,6,5,6,4,5,7,4,1,2,2,3,2,5,2,5,4,6,2,8,3,9,6,9,3,13,4,13,8,13,3,17,7,16,11,15,4,22,2,13,11,25,3,15,4,30,2,5,9,4,15,4,3,5,5,4,4,4,4,4,5,3,5,3,4,13,5,4,5,4,5,3,3,4,5,4,5,4,4,5,4,2,5,4,4,3,4,5,4,5,1,2,3,3,2,5,2,4,5,7,2,9,3,8,7,9,2,13,3,13,8,13,3,16,7,13,11,15,2,23,3,12,25,2,4,30,3,3,8,2,4,3,3,3,4,4,4,2,4,4,4,3,5,3,3,2,5,4,5,3,4,3,4,4,4,3,3,4,4,3,4,5,5,4,5,1,2,2,3,3,5,2,5,3,6,2,9,2,8,7,9,2,13,3,13,9,13,3,16,7,9,2,22,3,11,3,4,2,3,7,3,3,3,3,3,3,3,3,3,4,3,3,4,3,4,3,4,3,3,4,4,4,2,4,3,3,4,4,4,4,4,4,1,2,2,3,2,4,2,5,5,6,2,9,2,8,8,9,3,12,2,13,10,2,16,5,11,3,23,3,2,3,3,3,7,2,2,3,3,2,4,4,3,3,3,3,3,2,3,4,3,2,3,3,3,3,3,4,4,4,3,1,2,2,3,2,5,2,5,3,6,2,9,2,9,7,9,2,13,2,13,10,3,17,6,10,3,22,2,2,3,3,3,8,3,3,2,3,3,3,2,2,4,3,2,2,3,3,3,4,3,4,3,3,1,2,2,3,2,4,2,5,4,6,2,8,2,8,8,8,2,12,2,12,10,3,16,6,2,23,3,3,3,2,3,8,2,3,3,3,3,3,3,4,3,2,3,3,3,3,3,3,3,3,4,3,3,3,3,3,3,1,2,2,3,2,5,2,5,4,6,3,8,2,9,7,8,2,13,2,2,6,3,2,3,3,3,3,3,3,3,3,2,2,2,3,3,2,3,3,2,3,3,2,3,1,2,2,3,2,5,2,5,4,7,3,9,2,9,7,9,2,12,2,2,6,2,2,3,3,2,2,2,3,3,2,3,2,3,2,3,3,3,3,3,3,3,3,3,3,1,2,2,3,2,4,2,4,4,6,2,8,2,8,7,8,2,13,2,2,7,2,2,2,3,2,2,2,3,3,3,2,3,3,3,2,3,2,3,3,3,3,3,1,2,2,3,2,4,2,5,4,6,2,8,2,9,8,2,13,3,3,5,3,3,2,3,2,2,7,3,2,3,3,3,3,3,2,3,2,3,3,1,2,2,2,3,5,2,5,4,6,2,7,2,8,7,2,12,2,2,7,2,2,2,2,2,2,3,3,3,2,3,3,2,2,3,2,3,2,3,3,1,2,2,3,2,4,3,5,4,7,2,8,2,8,8,2,13,2,2,6,3,2,3,2,2,2,2,2,3,3,2,2,3,2,2,3,2,2,3,1,2,2,3,2,5,2,5,4,7,2,8,2,8,7,2,12,2,3,6,2,3,3,2,2,2,2,3,2,2,2,2,2,2,2,2,2,3,1,2,2,3,2,5,2,5,3,7,2,9,3,9,7,2,12,2,2,6,2,2,2,3,2,2,2,3,2,2,2,2,3,3,2,2,3,2,3,1,2,2,3,2,5,2,5,4,7,2,8,2,9,7,2,13,2,2,6,3,2,2,2,2,2,3,2,2,3,3,2,2,3,3,3,1,2,2,3,2,4,2,4,4,6,2,9,2,9,7,2,13,2,2,6,2,2,2,3,2,3,3,2,2,3,2,3,2,3,2,3,2,1,2,2,3,2,4,2,5,4,7,3,9,2,8,8,2,13,2,2,6,2,2,2,2,2,3,2,3,2,2,2,3,2,3,2,1,2,2,3,2,5,2,4,4,6,2,8,2,7,2,2,2,6,2,2,2,2,2,2,2,3,3,2,2,2,3,3,2,3,3,3,1,2,2,3,2,4,2,5,3,7,2,9,2,6,2,2,2,6,2,2,2,2,3,3,2,2,2,2,2,2,2,3,3,1,2,2,3,2,4,2,4,3,7,2,9,3,2,2,2,6,2,3,2,2,3,2,2,2,3,2,2,2,2,2,3,2,1,2,2,3,2,5,2,5,4,6,2,8,2,2,2,2,6,2,2,2,3,2,2,2,2,2,2,2,2,2,2,3,2,3,1,2,2,3,2,5,2,4,4,7,3,9,2,2,2,2,6,2,2,3,2,2,2,3,2,2,2,2,2,2,2,2,3,2,2,1,2,2,3,2,4,2,4,4,6,2,8,2,2,2,2,6,2,2,2,2,3,3,2,3,2,3,3,3,2,2,2,2,1,2,2,3,2,5,2,5,3,7,2,9,2,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,4,2,5,3,7,2,9,2,3,2,2,6,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,7,2,8,2,2,2,2,5,2,2,2,2,2,2,1,2,2,3,2,4,2,5,3,7,2,9,2,2,2,2,6,2,2,2,2,2,2,1,2,2,2,2,5,2,5,3,6,2,9,2,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,6,2,8,2,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,6,2,8,2,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,7,2,9,2,3,2,2,6,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,6,2,8,2,2,2,3,6,2,2,2,2,2,2,1,2,2,3,2,5,2,5,3,6,2,7,2,2,2,2,5,2,2,3,2,2,2,1,2,2,3,2,4,2,5,4,7,2,9,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,6,2,8,3,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,7,2,8,2,2,2,2,5,2,2,2,2,2,2,1,2,2,3,2,5,2,5,3,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,3,7,2,9,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,4,3,6,2,9,2,2,2,2,6,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,3,6,2,8,2,2,3,2,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,4,4,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,7,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,7,2,9,2,2,2,2,2,2,3,2,2,2,1,2,2,3,2,5,2,5,4,6,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,4,2,5,4,7,2,8,2,2,3,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,7,2,8,2,2,2,2,3,2,2,2,2,2,1,2,2,3,2,5,2,5,4,6,2,9,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,4,2,5,3,7,2,8,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,5,4,7,2,9,2,2,2,2,2,2,2,2,2,2,1,2,2,3,2,5,2,4,4,6,2,9,2,2,2,2,2,2,2,2,2,2};
uint8_t __nmod_poly_ntcoeffs0[] = 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76,59,53,3,110,52,110,11,110,9,110,11,110,15,110,16,124,3,126,124,3,3,97,2,124,7,3,82,115,84,124,15,3,8,55,104,3,124,126,119,14,3,4,60,95,64,107,124,11,3,8,99,15,97,33,25,119,124,8,124,9,124,30,124,25,124,82,71,50,33,16,124,15,124,13,124,73,124,4,124,54,124,60,129,2,127,129,3,2,109,9,129,19,2,22,4,66,2,129,10,2,104,116,72,3,129,19,6,6,2,44,126,9,97,124,129,6,2,103,28,125,83,40,122,50,129,9,129,6,129,9,129,9,129,109,130,96,129,25,129,15,129,19,129,11,129,90,129,24,129,12,134,3,131,134,6,3,95,1,134,7,3,3,102,116,1,134,1,3,34,21,105,4,134,122,80,1,3,119,93,67,20,0,2,134,1,3,61,135,36,12,40,40,61,1,134,14,134,4,136,134,18,134,12,134,130,29,88,129,1,134,57,134,38,134,21,134,39,134,53,134,11,137,2,138,137,6,2,96,7,137,10,2,118,10,46,4,137,9,2,21,36,103,4,137,87,70,3,2,106,66,130,48,110,137,7,2,10,8,106,77,41,75,120,137,22,137,2,137,23,137,12,138,137,70,100,35,105,9,137,32,137,9,137,12,137,58,137,75,137,3,147,2,145,147,3,2,107,7,147,2,2,55,33,105,1,147,19,2,123,25,140,2,147,20,146,2,51,143,148,42,74,147,33,2,110,104,9,52,91,121,147,4,147,29,147,5,147,65,147,85,5,80,27,147,10,147,43,147,13,148,147,49,147,3,147,54,145,6,149,145,1,6,89,13,145,11,6,15,18,125,145,9,6,43,122,140,9,145,96,126,6,6,142,20,49,104,21,1,145,1,6,147,107,77,6,101,121,109,1,145,12,145,24,145,9,145,11,145,12,145,20,145,2,145,39,145,22,145,4,152,5,152,152,1,5,136,11,152,7,5,144,43,130,3,152,14,5,153,40,97,3,152,52,114,2,5,93,61,124,22,61,152,29,5,57,152,43,137,72,110,77,152,9,156,152,12,152,14,152,9,152,42,56,112,15,5,152,33,152,116,152,25,152,56,152,15,152,145,161,2,159,161,7,2,91,8,161,3,2,156,25,83,161,9,2,6,83,132,1,161,127,162,15,2,0,15,125,120,111,3,161,11,2,69,10,103,38,31,112,39,161,24,161,71,161,8,161,59,161,95,71,120,45,161,6,161,3,161,34,161,15,161,28,161,37,162,5,166,162,7,5,120,3,162,3,5,2,38,75,2,162,10,5,113,56,149,2,162,122,165,5,148,143,109,68,85,162,24,5,57,41,140,131,142,10,142,162,10,162,32,162,14,162,8,162,48,162,85,162,17,162,14,162,9,162,54,171,2,169,171,2,2,102,1,171,6,2,107,134,27,1,171,5,2,27,158,125,2,171,104,56,2,58,106,48,164,156,1,171,12,2,22,159,0,166,46,64,29,1,171,6,171,7,171,6,171,5,171,19,171,3,171,42,171,20,171,4,171,9,177,2,172,177,4,2,109,1,177,2,2,109,55,91,7,177,6,2,73,144,163,177,64,40,2,87,49,150,71,115,177,28,2,1,177,8,76,43,83,103,2,177,18,177,4,177,11,177,42,177,143,85,31,8,6,177,35,177,69,177,12,177,3,177,107,177,45,179,2,177,179,6,2,105,6,179,21,2,169,163,177,179,4,2,149,22,108,2,179,168,107,11,2,88,57,94,104,154,179,24,2,10,12,175,122,45,141,171,179,8,179,9,179,36,179,43,179,2,179,6,179,19,179,15,179,7,179,122,172,19,190,172,4,19,100,7,172,1,19,10,10,110,1,172,14,19,171,139,164,2,172,124,62,19,156,74,173,47,113,172,6,19,151,7,90,49,25,168,79,172,12,172,2,172,2,190,172,48,172,50,172,3,172,20,172,70,172,35,172,96,188,5,192,188,1,5,148,6,188,7,5,172,8,149,188,8,5,154,34,145,10,188,27,168,8,5,89,0,77,51,20,188,1,5,28,46,90,152,135,52,155,188,39,188,9,188,5,188,18,188,8,188,3,188,9,188,80,188,11,188,100,195,2,192,195,3,2,124,16,195,4,2,173,79,124,1,195,6,2,29,96,176,195,8,127,13,2,42,73,8,137,121,195,14,2,163,90,9,141,130,15,168,195,39,195,35,195,6,195,19,195,52,195,13,195,25,195,75,195,8,195,23,196,3,193,196,1,3,162,7,196,3,3,79,58,90,196,3,3,159,23,160,1,196,141,177,8,3,9,54,31,158,171,196,1,3,151,57,69,138,197,192,33,196,10,196,13,196,19,196,19,196,37,196,15,196,1,196,7,196,8,196,23,209,2,207,209,2,2,161,8,209,13,2,133,194,81,209,3,2,29,87,200,2,209,26,139,19,2,125,87,148,61,30,1,209,7,2,27,84,184,126,145,50,8,209,12,209,12,209,17,209,12,209,33,209,8,209,69,209,14,209,7,209,54,220,3,221,220,6,3,163,6,220,1,3,196,24,68,2,220,6,3,138,98,139,2,220,64,164,1,3,62,99,87,177,118,1,220,8,3,213,151,64,105,11,94,64,1,220,23,220,1,220,7,220,25,220,47,220,12,220,22,222,220,27,220,69,220,8,225,2,220,225,2,2,143,1,225,5,2,135,24,174,1,225,18,2,106,176,151,2,225,183,24,3,2,77,93,12,199,22,225,2,2,94,142,127,96,160,99,123,225,2,225,8,225,34,225,12,225,22,225,17,225,10,225,2,225,49,225,142,223,6,228,223,1,6,162,7,223,8,6,186,160,24,223,7,6,205,62,193,8,223,50,117,15,6,98,167,158,135,185,1,223,2,6,145,9,172,6,25,140,131,223,47,223,2,223,15,228,223,8,223,40,223,48,223,37,223,154,223,9,223,103,230,3,232,230,1,3,158,4,230,17,3,32,215,122,3,230,4,3,181,135,202,12,230,146,56,7,3,48,3,102,71,28,3,230,5,3,20,216,19,31,114,21,96,230,14,230,4,230,25,230,13,230,5,232,230,153,230,24,230,18,230,63,230,41,232,7,237,232,11,7,132,11,232,2,7,200,60,237,1,232,17,7,54,202,201,1,232,88,2,3,7,108,127,226,68,57,232,8,7,216,81,101,182,113,14,235,1,232,2,232,9,232,24,232,7,232,63,232,16,232,92,232,15,232,93,232,74,234,7,238,234,1,7,152,14,234,7,7,5,6,83,234,2,7,153,212,173,1,234,125,236,7,55,208,145,27,29,1,234,3,7,17,197,22,168,109,10,42,234,11,234,14,234,11,234,1,234,17,234,106,234,9,234,104,234,20,234,41,245,6,242,245,3,6,200,3,245,3,6,179,151,247,1,245,8,6,173,215,142,7,245,106,187,4,6,149,34,45,110,138,1,245,26,6,232,201,15,20,20,53,192,1,245,15,245,9,245,8,245,13,245,4,245,11,245,79,245,38,245,92,245,67,254,3,251,254,6,3,187,16,254,4,3,138,18,62,3,254,31,3,162,140,179,254,50,201,1,3,20,180,225,12,97,254,40,3,20,148,249,173,215,225,13,2,254,5,254,8,254,10,254,35,254,48,254,22,254,3,254,9,254,104,254,16};

uint16_t __nmod_poly_cp_primes1[] = {263,269,271,277,281,283,293,0};
uint8_t __nmod_poly_cp_sm_coeffs1[] = {5,14,5,13,250,222,1,1,7,227,3,6,145,231,0,2,180,47,252,162,174,172,0,2,9,8,12,101,120,1,6,232,220,4,2,61,243,2,20,150,132,215,63,165,126,0,6,2,3,2,207,207,0,22,69,199,1,10,74,10,1,10,130,237,205,116,210,162,0,5,3,1,1,9,33,1,9,176,187,4,4,241,253,0,5,202,180,40,240,218,183,4,3,1,7,5,13,151,1,19,140,195,4,6,138,145,2,36,191,58,116,103,68,202,0,3,3,5,3,68,199,0,8,232,179,11,0,100,185,3,4,56,49,229,96,8,20,0,2,2,3,2,210,128,1,8,239,175,29,0,184,28,0,3,157,167,212,125,210,159,0};
uint16_t __nmod_poly_cp_md_coeffs1[] = {258,261,171,225,170,29,261,119,198,245,45,267,268,262,206,131,267,214,10,186,264,180,265,269,205,81,114,186,266,126,256,133,256,272,274,222,118,159,110,177,260,237,206,115,278,280,176,27,279,70,148,191,13,258,28,280,282,238,73,32,65,136,219,68,271,14,291,292,166,260,195,190,208,24,46,186,144};

uint16_t __nmod_poly_cp_primes2[] = {307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,0};
uint8_t __nmod_poly_cp_sm_coeffs2[] = {5,7,2,5,0,6,0,1,17,3,3,1,1,10,19,1,10,2,8,7,0,4,8,8,2,7,6,2,2,7,1,0,3,1,3,4,1,5,1,0,10,2,25,2,0,5,0,12,2,9,13,3,3,4,1,2,2,4,3,2,0,10,0,36,3,3,0,1,1,16,1,2,7,3,2,1,4,1,0,0,6,10,3,3,0,13,2,15,2,5,15,2,0,7,0,14,2,5,2,4,0,14,13,11,5,1,7,1,1,6,10,2,2,2,2,4,1,24,0,2,5,2,12,7,0,12,1,6,3,3,2,4,4,5,0,1,21,3,12,5,0,7,3,8,2,11,4,4,2,4,8,0,2,2,10,15,0,21,5,18,7,2,2,7,4,1,5,2,5,1,6,5,0,6,10,27,15,3,0,1,0,1,0,16,2,4,4,4,1,6,2,3,3,1,2,9,2,28,0,6,13,1,8,4,0,14,9,9,2,3,3,14,1,5,15,5,3,10,17,3,0,13,0,3,2,2,14,2,1,7,5,0,13,4,6,2,1,4,7,2,3,4,4,1,0,7,1,10,2,2,7,5,1,5,1,0,7,2,4,17,0,8,1,5,5,2,6,15,1,11,8,3,2,3,4,3,1,6,2,0,3,4,0,3,1,1,6,5,2,5,2,4,0,13,4,19,2,2,6,3,0,2,3,16,2,4,8,2,0,11,10,11,2,3,7,9,1,6,0,1,2,3,20,6,1,5,2,3,3,4,7,4,2,5,1,1,3,8,2,4,0,7,4,34,5,2,12,3,1,8,12,17,2,3,16,2,1,3,5,0,3,6,4,3,2,15,9,8,7,2,3,8,1,2,3,3,7,1,14,13,1,5,0,7,3,5,8,4,0,9,4,1,2,6,12,32,0,6,6,8,3,3,2,4,1,7,0,15,2,6,6,8,0,7,10,0,3,5,6,5,0,5,2,3,3,4,0,1,2,3,3,0,11,1,0,2,0,5,1,3,5,6,3,11,5,1,9,13,2,3,6,5,2,15,0,0,2,2,8,4,6,5,6,2,2,4,7,19,0,2,0,18,5,1,6,15,0,6,6,11,2,2,0,5,1,10,0,0,5,5,5,7,2,30,0,0,3,14,3,4,0,4,7,5,2,2,12,5,1,10,1,1,2,2,6,10,0,4,2,3,11,1,5,1,1,11,5,3,5,7,3,5,0,17,0,6,6,4,12,8,1,3,1,2,3,11,3,9,0,44,2,1,5,3,5,6,1,6,0,3,3,5,3,7,2,7,3,10,2,6,10,13,0,4,12,8,6,12,0,6,2,6,11,4,11,2,32,1,0,8,1,0,2,2,4,8,1,9,0,4,2,2,11,9,0,3,5,5,2,2,1,3,1,11,1,2,3,1,4,3,1,3,1,1,3,1,3,3,0,1,3,10,2,2,15,9,2,10,5,1,3,3,4,3,0,10,0,6,2,5,18,3,9,5,2,0,2,5,9,7,1,5,1,3,11,4,2,2,1,7,16,0,2,4,3,2,0,4,8,11,3,4,0,3,1,7,3,0,2,6,2,12,0,2,0,7,5,5,2,10,1,1,9,1,2,5,6,6,0,3,4,9,3,1,0,8,1,6,21,2,2,6,8,14,0,6,7,5,5,1,3,5,1,8,0,4,2,4,14,2,0,2,4,1,17,1,11,2,1,4,6,0,7,2,3,11,0,9,6,7,3,5,0,3,2,7,5,0,5,3,23,5,0,24,0,28,2,3,3,2,2,4,0,1,2,3,8,15,2,6,1,1,3,7,1,1,1,5,6,1,5,1,3,2,0,9,15,3,6,3,2,14,1,13,0,0,3,1,0,11,2,7,0,0,5,1,5,8,2,3,7,0,6,4,10,3,0,7,15,9,7,2,4,10,0,1,0,39};
uint16_t __nmod_poly_cp_md_coeffs2[] = {302,306,239,61,172,213,131,232,283,70,165,294,310,163,152,167,27,2,118,162,74,287,303,310,239,253,213,196,106,99,306,300,267,315,313,178,4,156,195,31,85,207,296,284,328,326,290,159,205,283,78,308,249,210,194,327,332,224,109,127,216,251,246,331,98,148,345,343,295,56,26,343,117,213,187,252,235,347,348,279,316,177,135,268,328,308,130,290,350,348,199,295,226,215,37,26,182,49,319,352,358,229,327,327,309,271,143,301,165,356,361,366,295,324,321,222,50,282,335,268,213,371,369,304,108,83,126,66,219,203,370,238,377,374,327,246,364,374,173,194,210,369,362,378,382,309,158,8,69,296,332,281,76,137,387,379,266,255,339,218,290,19,351,308,258,392,392,363,287,274,382,203,255,375,252,166,398,396,372,51,81,115,164,113,380,158,199,388,404,407,364,53,372,396,69,256,211,318,417,418,373,257,33,411,151,388,234,386,93,419,417,257,41,342,111,77,32,389,145,394,424,430,323,182,202,161,115,286,243,329,71,428,432,402,360,353,244,39,32,347,45,232,424,436,323,190,324,1,266,296,359,254,342,441,437,383,41,218,298,290,217,437,109,125,446,444,249,69,293,437,124,348,361,9,226,444,454,407,266,389,205,412,296,365,84,354,459,460,393,329,432,439,321,449,388,276,210,460,461,262,110,51,462,396,414,234,227,433,465,463,353,237,62,123,289,413,318,447,397,466,474,386,334,287,243,17,440,247,185,3,484,485,483,185,427,450,137,249,283,447,271,489,487,360,125,402,369,216,372,378,453,149,492,493,495,78,191,407,200,309,288,222,491,498,498,325,255,292,380,316,203,441,337,158,507,508,408,41,232,350,382,473,420,28,314,518,515,509,280,153,315,312,407,462,483,181,521,522,382,371,475,475,380,184,518,145,342,539,537,333,69,320,239,113,108,376,318,340,545,543,334,423,153,334,180,20,368,263,238,555,553,430,253,192,202,113,384,480,434,456,561,559,399,246,303,122,509,176,503,19,15,566,568,381,480,263,50,241,173,527,566,478,568,570,402,33,295,221,371,119,363,179,545,572,572,494,283,25,450,321,545,450,449,576,585,583,444,226,121,204,91,44,492,55,333,590,592,419,478,65,345,495,291,350,523,223,592,598,419,586,274,515,124,37,440,98,114,594,598,347,49,440,128,490,241,550,590,487,604,606,449,478,45,10,449,35,468,129,444,611,609,333,601,595,609,539,57,489,536,513,614,612,503,310,595,318,155,501,519,543,388,617,618,492,347,468,238,225,383,416,310,579,628,629,376,106,541,516,187,516,379,413,296,638,635,629,294,557,105,332,392,356,141,66,632,641,600,293,412,345,569,573,631,475,591,642,645,643,642,385,308,271,259,603,123,561,651,649,596,242,220,45,296,18,385,60,365,657,655,351,223,105,371,90,246,358,46,592,659,660,616,382,456,551,72,285,612,220,389,668,672,416,35,248,524,302,587,669,553,347,675,672,631,50,632,446,152,619,363,404,504,678,682,455,434,109,644,65,184,383,444,85,688,686,632,262,408,579,321,425,356,443,556,699,697,379,285,327,571,593,206,619,373,459,707,705,384,295,514,669,79,233,689,171,257,708,715,602,182,591,533,244,362,714,560,288,722,725,723,672,397,86,368,671,639,502,573,727,732,539,151,549,174,142,610,532,6,337,736,734,678,625,447,422,25,169,401,81,616,738,742,425,88,471,236,588,279,551,676,327,748,749,525,539,633,298,672,243,741,489,703,755,753,537,745,739,753,509,110,494,702,688,755,758,658,155,597,634,540,144,603,571,317,758,765,741,650,326,43,632,574,560,751,623,771,772,444,581,3,91,693,94,484,574,216,785,786,605,606,512,98,715,26,612,573,480,795,793,717,71,396,657,389,747,596,599,240,806,799,644,43,75,562,673,745,593,727,341,808,806,453,307,755,780,525,806,663,200,382,819,816,662,803,130,160,589,556,626,557,650,820,821,819,744,616,822,31,437,451,609,740,825,821,605,691,601,685,32,79,812,372,177,827,828,604,817,476,341,138,241,468,552,621,828,838,609,23,537,370,329,779,553,206,349,851,852,623,512,194,276,118,846,544,821,677,854,850,528,65,824,32,494,552,611,719,308,857,858,530,566,646,419,672,446,522,845,648,858,862,770,300,62,330,849,576,765,1,381,875,873,604,855,400,629,347,319,767,278,770,878,869,447,231,419,218,561,490,635,510,587,881,879,715,871,865,879,768,762,740,557,360,882,885,883,28,341,775,706,381,781,345,727,905,903,478,266,752,626,811,518,584,57,783,894,909,887,19,683,172,168,590,708,116,679,912,910,602,113,817,312,504,202,708,623,410,926,917,787,86,92,805,586,292,699,199,481,932,934,585,934,727,794,53,26,658,483,533,939,940,505,538,694,459,590,675,805,197,708,945,943,894,95,787,880,581,597,845,808,269,950,947,865,730,829,507,108,658,579,316,819,962,965,963,831,948,805,136,502,840,783,512,965,970,527,718,729,970,206,281,725,473,805,974,972,800,753,830,729,77,807,855,740,450,978,981,567,228,296,849,530,276,738,87,858,985,989,794,278,855,637,234,786,941,222,466,990,995,622,260,58,981,241,473,934,616,732};

uint16_t __nmod_poly_cp_primes3[] = {1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,0};
uint8_t __nmod_poly_cp_sm_coeffs3[] = {11,3,14,6,0,1,2,3,7,2,12,2,7,9,2,3,8,3,1,9,0,10,3,3,2,0,1,2,14,4,3,7,4,1,5,5,2,16,9,0,13,11,3,3,7,1,0,1,5,3,1,4,1,3,13,5,7,2,6,8,0,3,13,2,2,6,11,1,5,10,3,3,2,3,0,8,3,6,2,6,2,0,4,4,3,6,10,23,4,1,5,2,3,2,2,2,2,0,5,3,6,7,0,5,39,3,1,4,13,1,1,0,5,6,2,6,1,23,2,2,3,8,2,1,3,3,2,4,6,2,0,9,2,2,2,8,2,0,3,1,11,3,16,8,2,3,14,17,1,4,1,1,4,1,5,3,29,1,0,24,3,5,2,3,9,2,1,2,2,2,8,2,0,4,0,7,1,3,2,2,2,6,2,4,4,5,2,7,4,3,4,11,11,2,15,3,11,2,20,17,0,6,0,2,4,9,6,0,9,5,3,3,9,3,2,1,0,5,2,4,2,2,8,4,2,3,6,7,1,19,0,3,3,3,5,0,1,24,2,4,6,4,0,22,10,7,5,17,1,0,2,0,2,3,6,5,1,5,2,2,2,4,9,2,20,0,3,6,6,4,0,7,0,2,3,8,3,1,2,1,6,6,3,16,1,4,3,2,5,6,5,0,4,4,10,2,8,1,0,2,6,2,7,3,3,1,8,10,6,2,2,2,0,4,0,2,2,4,4,3,6,0,13,1,5,2,1,6,0,13,5,8,1,0,6,7,3,1,2,9,0,4,12,3,13,0,29,1,22,3,5,1,8,2,2,8,3,2,7,11,2,2,9,3,2,4,10,2,1,12,15,13,3,14,28,0,5,8,3,1,2,10,1,40,1,3,7,4,10,2,4,21,2,2,13,21,5,10,1,6,2,6,12,1,2,1,3,19,3,12,1,28,0,7,7,4,2,1,9,0,3,3,5,6,0,1,10,2,9,3,20,6,5,2,2,6,9,4,0,15,6,3,3,7,21,0,10,2,6,1,2,3,0,2,34,3,5,4,17,1,12,4,2,2,14,3,0,11,7,5,2,3,11,1,11,9,14,2,9,2,0,1,7,2,11,3,5,1,3,0,2,2,7,6,1,2,7,11,2,3,5,1,16,7,2,7,0,4,1,28,1,2,6,2,3,3,2,7,5,2,3,15,0,5,7,2,5,0,5,0,3,9,3,1,4,9,2,8,0,19,3,2,1,1,2,3,3,4,4,6,0,18,5,2,3,2,17,1,7,6,3,11,6,8,0,1,0,5,1,3,2,1,7,1,11,5,1,2,0,11,9,3,15,7,5,2,1,5,5,3,11,26,1,2,1,7,4,5,8,0,2,7,3,4,0,14,2,10,5,2,2,8,3,1,6,9,2,4,6,3,0,13,5,3,1,3,5,0,11,0,2,2,1,4,1,7,5,11,1,13,8,2,7,7,3,3,2,4,0,10,19,2,3,8,9,1,3,1,2,4,6,8,0,4,6,2,2,3,3,0,11,10,3,3,17,15,1,3,3,3,3,3,13,0,1,22,3,1,0,5,1,6,3,3,3,2,5,1,11,6,3,1,2,1,2,13,1,2,16,2,9,1,7,1,2,5,9,17,0,25,4,2,5,8,6,1,4,2,7,1,14,1,0,2,25,6,3,4,6,0,16,0,5,2,18,1,0,19,11,10,6,5,8,1,4,17,2,8,7,13,1,7,1,6,1,0,3,0,33,11,11,1,24,1,0,6,9,6,3,11,3,1,12,4,5,1,2,9,1,31,1,3,10,4,1,0,9,1,5,2,5,2,1,2,0,2,4,3,15,1,12,4,2,2,7,5,0,6,3,14,1,10,7,1,12,4,10,4,13,7,0,2,10,2,3,6,6,1,6,3,6,3,3,9,0,9,25,3,6,0,18,1,15,6,2,2,8,4,1,13,1,2,2,2,3,4,2,0,3,4,2,3,1,14,4,2,3,7,9,1,9,4,5,5,6,6,3,14,0,2,9,3,4,1,2,2,3,9,3,10,0,11,4,2,2,4,6,4,3,0,2,3,13,2,1,11,3,2,2,7,2,0,6,2,5,2,18,12,0,5,40,2,3,9,3,1,4,3,3,1,3,1,0,1,7,5,7,13,3,2,6,3,3,3,5,6,0,3,28,5,14,6,35,0,2,9,2,5,0,2,1,3,6,2,5,7,12,0,6,20,7,7,14,4,2,4,0,2,6,10,31,0,6,1,5,1,8,1,1,1,7,2,2,6,8,4,4,0,3,10,7,4,1,10,5,2,4,8,3,0,6,8,5,1,6,3,1,2,1,7,4,2,5,0,1,2,2,3,7,6,2,9,5,7,9,2,1,6,8,0,5,1,18,5,0,10,1,3,1,6,3,3,3,6,2,5,2,17,0,3,5,10,6,6,5,0,15,27,2,3,3,2,1,7,0,3,1,3,3,0,7,6,3,3,2,3,1,8,1,23,2,15,2,1,6,6,7,1,6,3,0,15,3,5,1,7,1,0,5,8,5,3,8,2,1,10,0,2,3,6,5,1,6,2,2,6,6,8,0,2,5,2,4,8,7,1,11,5,3,6,11,8,0,1,31,2,2,1,2,2,5,0,7,1,6,3,0,7,2,2,2,10,9,4,12,1,2,2,10,3,0,4,9,3,3,2,7,1,20,1,7,5,0,3,0,1,10,19,1,6,4,0,4,1,2,5,10,2,0,10,7,5,1,8,2,1,1,0,2,3,1,6,1,14,6,3,3,3,11,3,7,1,2,3,7,9,1,8,0,2,20,0,6,2,17,0,7,3,9,3,0,9,33,3,4,3,3,0,6,5,13,1,6,2,1,1,3,2,2,8,5,1,7,0,2,4,7,2,2,4,23,5,1,6,10,0,2,28,3,7,12,20,1,12,4,5,2,8,1,3,34,11,2,2,10,5,0,3,4,3,4,7,7,2,9,1,11,4,3,3,2,3,5,6,3,4,12,1,1,1,3,1,14,3,1,4,0,5,1,10,6,1,7,5,2,6,6,2,0,14,5,6,1,0,7,1,4,0,5,1,2,3,1,9,4,2,3,7,2,1,4,7,2,6,7,6,0,6,9,5,1,11,10,1,26,4,2,2,3,5,2,9,9,3,14,2,9,0,5,7,17,1,23,6,1,4,12,2,2,8,5,2,3,0,2,5,2,3,0,5,7,5,6,3,3,2,21,0,2,2,12,3,1,2,0,6,2,3,7,0,23,4,2,6,6,4,0,2,6,2,5,1,12,1,4,7,7,1,5,5,1,14,1,7,3,14,12,0,3,11,3,1,0,1,1,6,3,5,5,10,2,0,3,16,2,3,9,10,1,6,1,3,3,9,4,1,3,0,3,4,5,3,0,10,2,3,3,2,8,1,13,1,2,4,2,13,0,28,10,5,12,3,3,1,1,4,7,7,2,1,0,2,16,2,2,6,8,0,14,11,2,13,8,7,0,2,8,5,1,2,7,1,7,3,19,2,24,4,0,0,0,2,2,0,7,1,21,3,2,2,4,8,1,2,5,2,7,2,2,0,13,19,7,1,2,1,1,5,0,5,1,6,1,0,11,3,3,4,3,19,1,8,2,3,4,0,1,1,1,0,3,3,2,10,0,7,1,2,3,12,8,1,5,5,6,1,0,20,0,6,10,3,5,9,4,3,4,4,3,15,5,3,0,1,5,3,1,0,1,4,17,2,2,3,3,4,1,5,3,6,7,3,19,0,9,3,2,6,9,2,0,0,0,3,1,7,3,1,6,2,2,4,16,9,0,4,0,2,3,3,9,2,8,1,5,3,22,1,0,0,0,2,3,18,3,3,5,6,2,3,8,12,1,5,0,2,12,8,3,0,5,9,11,2,21,1,0,2,1,2,3,1,17,1,15,0,7,2,2,1,1,18,0,5,1,9,16,0,9,9,3,3,1,9,3,18,1,5,1,4,11,3,9,1,2,2,1,6,1,5,0,5,2,3,2,1,1,0,5,7,10,3,1,10,5,2,3,13,5,1,20,1,13,5,14,1,1,31,10,2,2,6,6,1,5,4,2,3,8,5,1,17,9,3,3,4,3,1,4,0,10,2,5,5,0,8,15,17,4,12,8,7,3,7,14,2,15,1,2,1,0,2,3,7,4,1,2,1,2,4,8,4,0,0,0,5,2,3,9,1,8,0,2,2,9,5,0,22,4,3,1,8,1,4,6,0,11,3,27,5,0,2,3,6,2,10,12,1,1,0,2,4,8,5,0,2,12,6,1,3,2,0,4,2,2,2,11,5,5,20,6,3,3,1,5,5,22,1,6,4,6,3,0,8,18,7,8,3,1,1,1,1,7,1,0,1,0,5,11,3,4,1,15,1,23,8,3,4,5,6,0,0,0,5,1,4,5,1,13,1,7,1,0,8,0,10,9,7,4,4,1,0,1,4,2,5,8,3,0,7,5,11,6,5,4,2,1,7,2,3,16,18,1,4,1,3,3,2,12,1,0,0,5,1,15,1,0,5,6,10,2,8,4,1,5,5,6,1,0,6,2,2,18,6,1,7,7,2,2,11,2,2,3,3,0,8,3,3,1,0,20,2,22,1,3,6,4,17,0,1,3,3,1,3,1,0,4,11,2,2,0,8,1,7,1,6,2,2,2,0,6,9,2,2,2,9,0,7,2,10,15,6,5,0,5,8,6,3,7,12,0,1,6,2,2,7,3,1,4,0,3,5,7,9,1,7,3,3,1,7,5,0,0,0,5,10,3,15,0,10,16,2,3,7,6,1,3,4,11,2,3,2,1,5,6,22,4,12,5,0,5,5};
uint16_t __nmod_poly_cp_md_coeffs3[] = {998,1008,825,509,515,850,627,634,1010,1006,728,319,230,17,451,396,1017,1015,964,384,359,996,549,971,1011,1020,936,862,66,684,628,395,1017,1029,864,327,378,721,158,823,1028,1030,986,204,680,697,331,447,1036,1033,800,703,447,1025,17,930,1046,1038,929,616,685,338,330,422,1044,1049,994,335,627,680,736,789,1059,1057,649,95,552,875,180,187,1060,1062,628,379,917,483,429,979,1063,1065,1065,497,137,686,452,896,1084,1085,1079,795,168,171,58,941,1089,1090,947,93,72,774,1053,784,1088,1092,988,199,119,720,635,840,1094,1096,987,74,641,91,625,17,1098,1091,819,698,931,796,789,448,1107,1108,1102,86,1031,1004,684,1050,1115,1113,856,12,1014,996,14,815,1121,1122,1116,536,187,918,964,522,1118,1124,916,366,139,1122,885,669,1134,1148,687,490,331,594,789,953,1148,1152,870,656,903,254,473,991,1158,1161,1159,919,503,226,238,281,1169,1167,1112,1049,594,1042,1092,580,1174,1180,706,903,1129,989,628,75,1185,1181,758,324,472,882,699,213,1190,1187,826,148,475,1120,12,1185,1190,1192,1006,985,428,917,575,1090,1211,1209,879,72,125,608,1169,1122,1214,1211,888,1080,782,304,143,1200,1218,1220,715,761,50,1041,675,154,1227,1225,1159,400,1219,1216,953,983,1228,1229,662,1162,399,1152,85,1121,1235,1236,960,346,117,849,46,1163,1242,1246,792,439,679,474,240,1149,1257,1258,1049,1187,1008,1191,864,794,1275,1276,753,500,456,996,1270,428,1276,1277,916,871,896,159,336,1118,1281,1279,672,386,536,842,1259,1145,1283,1280,1105,314,308,1117,179,659,1289,1290,899,183,1164,1044,607,646,1287,1294,807,531,428,797,709,1093,1299,1295,1152,160,635,1068,1293,1108,1297,1302,816,1092,1278,1228,300,865,1305,1306,844,65,788,130,958,743,1306,1316,1015,576,1005,957,408,1211,1308,1320,1223,683,1020,1055,1130,1162,1324,1326,724,665,911,1208,1153,605,1358,1355,1349,124,977,824,164,34,1362,1365,1022,1108,514,507,407,1250,1371,1365,1269,1177,567,874,104,1202,1379,1377,1307,746,1373,168,723,970,1386,1395,964,1222,533,1164,111,696,1406,1404,968,156,1165,624,55,778,1420,1421,1419,169,1041,1357,730,830,1425,1426,1089,770,1252,250,1056,747,1423,1425,1425,1301,716,1226,469,1214,1430,1420,883,74,937,1421,283,456,1432,1438,1430,1336,31,1267,451,1118,1444,1446,909,1246,33,430,750,1300,1449,1446,759,1094,208,615,15,193,1451,1449,1368,1441,1435,1449,23,1381,1456,1458,855,406,1309,629,73,1115,1465,1470,1287,1228,728,969,1362,599,1478,1480,1372,1021,855,1436,968,651,1481,1482,1170,541,996,1168,1452,1464,1482,1485,1483,1289,808,1194,866,1283,1475,1487,1299,1485,269,254,61,1192,1491,1485,1120,102,499,465,701,1377,1497,1495,1270,844,588,698,1196,1357,1500,1509,1433,1032,1278,106,403,142,1521,1518,1123,1226,1518,67,1286,573,1529,1530,948,827,122,1129,314,1400,1538,1541,1539,796,1363,1391,132,1157,1547,1541,1336,1191,987,1422,311,1322,1550,1552,1330,804,1242,904,1399,643,1540,1558,1107,1236,514,1237,1473,514,1564,1565,1563,988,1370,855,278,1384,1569,1570,838,1460,986,1541,113,601,1576,1578,1447,234,358,1245,666,1226,1578,1581,1579,466,898,271,719,1438,1586,1594,1270,567,200,793,611,1205,1598,1600,962,830,956,296,1120,603,1602,1605,1595,1182,923,203,508,1279,1602,1597,1277,490,1348,872,518,1578,1610,1606,1279,812,1085,1532,734,563,1617,1615,1410,20,1190,330,277,281,1619,1617,957,1208,679,1337,3,1605,1624,1622,1176,1257,265,1071,398,1354,1635,1633,864,1387,1455,1448,1263,1123,1646,1655,915,692,904,988,1018,956,1660,1662,1534,1371,1128,1471,559,1500,1665,1663,1267,255,1656,1508,1126,602,1667,1665,880,163,99,1328,852,689,1691,1692,1539,422,793,1299,242,1558,1694,1692,1208,22,42,1228,806,255,1696,1686,1506,99,299,590,855,1498,1706,1696,1199,176,1012,1460,188,658,1718,1716,1662,1363,1406,424,182,1597,1720,1722,1046,79,102,1250,331,1513,1731,1726,1072,1679,69,1638,1640,728,1739,1740,1477,1515,1720,1643,169,868,1745,1743,1426,1284,142,545,1407,1329,1746,1746,951,1199,1699,1534,639,1196,1753,1757,1144,1665,1526,1332,212,1720,1772,1774,1224,74,792,1744,731,1365,1773,1782,1380,1263,639,1202,920,1652,1785,1783,1086,911,1515,794,1703,1616,1783,1781,1599,1091,771,688,212,734,1790,1796,1782,1504,636,1791,787,1424,1805,1809,1396,1516,1210,364,1098,1569,1818,1822,1574,555,751,1442,1245,1010,1828,1829,1827,534,187,1679,1123,818,1842,1845,1150,844,477,1225,846,815,1859,1860,1641,515,862,1352,64,776,1865,1866,1297,323,1719,924,1336,1826,1857,1869,1486,1351,593,903,1116,1627,1863,1870,1796,708,47,487,1667,1056,1875,1873,1329,877,362,1792,1677,1840,1873,1877,1690,1098,870,1781,850,1570,1886,1883,1877,822,364,26,1877,991,1899,1896,1198,467,1830,952,157,1755,1905,1906,1800,1237,383,1019,1122,572,1910,1908,1815,1407,956,1266,1499,1049,1929,1927,1239,786,504,729,939,1464,1928,1932,1144,86,834,950,816,1400,1947,1948,1024,454,100,1846,0,1216,1948,1949,1034,598,1950,1542,1119,702,1971,1972,1505,1421,1641,85,818,1438,1977,1975,1748,315,1590,1945,416,823,1985,1986,1727,478,208,981,1084,1883,1988,1990,1078,1873,75,1750,1102,1671,1995,1993,1836,1168,326,1724,1081,1712,1996,1998,1177,1171,423,1114,651,1798,1998,2002,1333,350,1856,1981,1532,353,2008,2004,1947,1530,1650,1233,1256,1168,2012,2016,1393,943,129,1843,10,1133,2025,2021,1899,1083,1623,2006,1995,87,2027,2028,1663,317,1791,1492,1332,1730,2032,2026,1377,755,1630,1937,1023,1657,2051,2049,1580,2041,2035,2049,1432,837,2058,2058,1625,1137,949,608,1964,829,2067,2065,1413,1268,1157,1365,1924,1763,2078,2080,1796,873,2034,1765,646,1414,2081,2079,1925,830,2053,790,1011,1762,2082,2084,1305,1567,114,517,1970,1931,2082,2080,1985,1492,977,1737,570,2054,2097,2095,1828,1169,1728,1204,747,1559,2104,2110,1916,117,1071,1472,2097,615,2108,2108,1278,456,1649,1853,1636,1520,2126,2120,1672,700,1338,1245,844,115,2129,2130,2051,1622,1717,1000,431,2105,2127,2136,1153,970,84,734,965,2084,2139,2140,1154,1939,860,1732,829,278,2140,2141,1638,802,1443,1616,1518,2089,2150,2145,1925,1732,2007,1833,1865,2027,2138,2160,1561,699,821,1898,439,967,2172,2177,2017,1709,2022,2038,2079,981,2198,2202,1600,731,1727,742,581,2028,2202,2205,1195,2074,865,508,1132,1570,2211,2209,2119,1438,1211,1450,0,2017,2219,2217,1282,2209,2203,2217,1126,2012,2235,2232,1387,1978,160,839,1056,797,2236,2233,2145,1910,490,1124,947,1594,2241,2234,1553,2141,92,1983,957,1339,2244,2249,1840,1081,1578,2067,1455,1129,2265,2266,1889,1447,170,1050,2206,1865,2267,2265,1609,2181,867,2260,172,2153,2270,2268,1913,1673,1140,2220,1769,1846,2274,2274,1462,1814,946,1240,1458,1648,2268,2283,2160,233,630,1812,386,1670,2291,2289,1256,435,1415,1935,2124,1905,2292,2292,1772,607,1036,2147,1213,2134,2307,2305,2173,94,164,1911,1532,1441,2308,2309,2175,1099,1270,424,309,1796,2331,2329,1591,966,990,1899,1892,204,2337,2329,1768,1112,764,2243,900,1724,2334,2339,1919,1291,342,1220,328,2061,2344,2342,1254,889,177,2337,743,2277,2338,2347,1822,773,1036,1247,1452,1725,2355,2352,2140,280,2291,1782,2317,1931,2369,2370,2087,860,370,1269,1314,1457,2372,2376,1684,299,83,975,1827,2178,2378,2379,2283,1568,1764,432,2290,74,2378,2382,2159,767,2110,372,1599,2180,2387,2385,1651,953,405,1962,1273,1724,2390,2392,2047,606,861,1633,678,757,2388,2398,1637,1344,89,1838,1220,30,2405,2410,1681,1092,1304,2016,813,1670,2414,2408,2350,167,2026,893,742,1272,2418,2421,1349,2166,1751,2050,2267,915,2435,2433,1592,2425,2419,2433,444,2275,2435,2438,2078,1678,1880,1270,1272,787,2442,2446,1426,1496,2409,2123,1269,1060,2457,2455,1737,885,1850,2138,114,849,2465,2466,1277,1060,1538,1507,1683,1543,2468,2472,1380,1517,348,2137,1146,1002,2475,2476,1955,80,1343,959,223,1104,2500,2502,2207,2195,972,1282,1979,1152,2504,2520,1993,277,659,1946,822,2454,2529,2527,1375,1051,184,2346,2207,1381,2537,2538,2069,1802,1911,1332,822,2293,2538,2541,2539,860,1428,1634,1813,1024,2547,2545,2242,2264,1711,1391,1819,2,2545,2549,2007,1355,1591,1888,1151,2487,2555,2553,2444,2545,2539,2553,2359,1177,2577,2560,1954,73,471,1709,1770,866,2584,2589,2159,1936,607,1663,2384,310,2586,2586,2226,946,1268,1392,371,1458,2606,2603,2597,1184,2345,1105,1030,2447,2612,2614,2248,644,2355,1514,1014,2367,2619,2620,1919,1136,283,2390,1379,1858,2630,2627,1393,773,318,1332,1843,111,2644,2646,1656,234,1628,1100,561,1736,2654,2652,1910,1392,1071,1723,370,538,2657,2658,1570,35,998,1901,629,1806,2658,2655,2263,2428,772,1799,556,349,2664,2662,2226,2007,1802,2472,338,2358,2675,2676,2358,271,1113,723,1934,1971,2681,2679,1386,170,125,1906,259,997,2682,2686,1568,772,1402,1390,726,2286,2670,2684,1679,1942,2441,2393,0,0,2691,2688,2281,1940,68,2650,205,1843,2697,2693,1520,2046,773,2361,440,1133,2705,2706,1560,1133,2011,2594,466,2339,2704,2710,1442,2519,102,1774,2424,2482,2708,2712,2548,2518,1036,1920,1291,2050,2716,2718,2480,1769,441,689,1481,2154,2726,2723,2717,1424,213,2547,1869,1348,2728,2722,2591,1404,1520,512,2672,1637,2739,2737,2507,1311,1967,1856,2251,1666,2743,2741,1695,465,1636,767,2573,2665,2750,2747,1947,1153,1520,1673,1096,788,2764,2766,2422,1940,1828,1310,2582,2742,2774,2772,1801,1761,1143,1344,2399,2419,2787,2783,2423,2433,781,1923,1610,1475,2785,2789,1653,1742,1391,1876,1355,2415,2795,2793,2145,2785,2779,2793,0,0,2798,2800,1614,964,2436,600,410,1893,2801,2802,2468,917,2197,1394,179,1929,2817,2814,2651,1428,1252,2713,2516,1075,2828,2830,2233,2264,954,685,0,0,2835,2833,2731,1415,2694,2430,2419,2410,2841,2839,2566,2629,920,1618,2363,1669,2849,2847,2674,1398,200,509,656,2167,2846,2856,2703,1166,2012,2854,1833,2188,2859,2857,1958,424,459,2461,396,22,2872,2878,1579,1566,1144,2755,324,2154,2882,2885,1657,2797,2682,1171,1265,1114,2894,2891,1560,964,2504,1785,1011,2818,2898,2902,2291,2600,757,324,2226,558,2907,2900,2786,1025,2659,683,2338,681,2912,2916,1860,2643,1589,2181,914,2767,2922,2925,2446,1521,1142,2191,1741,428,2937,2938,1878,875,2840,2808,514,1940,2940,2952,2109,1904,94,702,1830,2020,2955,2956,2502,2223,2582,2361,1274,2653,2961,2959,1600,2724,1929,1507,2845,2121,2966,2968,2702,212,181,1690,2846,1727,2961,2970,1931,905,1121,2893,1724,2610,2982,2995,2779,2843,164,1108,506,1970,2987,2999,2975,1887,1943,1408,639,1829,3009,3007,2235,452,208,2613,1678,2158,3017,3015,2924,2983,1076,2099,0,0,3018,3021,3019,731,1273,1407,104,971,3035,3036,1881,2415,1532,928,272,2593,3038,3030,2059,1279,1713,2942,2606,1279,3038,3048,2806,453,1501,2406,1727,1617,3055,3057,2404,2164,914,1417,704,1540,3065,3063,2516,2295,2309,2709,304,1495,3073,3078,2775,2589,1176,1907,513,1559,3081,3079,1589,1552,662,2261,124,2,3086,3082,3009,822,2198,2929,1304,2593,3103,3105,3105,174,2325,2041,2388,1654,3112,3118,2052,2363,2315,1459,1849,450,3114,3114,1779,1798,478,2851,2996,1972,3134,3131,2714,3061,2685,3099,610,703,3160,3162,1675,1181,2392,3096,0,0,3162,3164,1750,1333,321,2821,2779,2174,3162,3162,2295,2744,731,3147,2562,1570,3174,3179,1885,937,2559,801,2312,2637,3185,3183,1795,134,564,1147,2880,1947,3180,3189,1986,1308,2065,2741,1632,2601,3201,3199,2883,610,1778,248,2402,1490,3206,3204,2273,911,304,2745,0,0,3212,3212,2588,1673,2408,2630,1567,3004,3211,3211,1741,2289,3027,2712,1296,1226,3223,3221,3001,2758,3091,1986,586,2272,3245,3249,3241,1634,696,2665,1022,2372,3251,3252,2830,1160,736,2923,1654,2858,3254,3252,2302,1992,1026,2176,2081,1711,3256,3248,2888,2050,892,1791,2286,3016,3268,3269,2843,959,2172,3031,1765,3006,3297,3293,1855,1901,1806,965,2403,100,3295,3297,1754,893,732,2883,2830,3284,3305,3306,2555,1264,2264,1625,2128,2558,3303,3312,3105,2527,1900,3133,193,1954,3313,3317,3309,3276,833,1883,2553,2265,3321,3319,2982,1089,591,1836,987,1801,3326,3328,3247,631,1163,1915,982,204,3328,3322,1902,419,756,2615,0,0,3338,3342,3261,1284,436,3081,1109,2343,3345,3343,2846,1196,1277,1699,1310,551,3348,3357,3075,1811,2201,3024,3082,3330,3339,3360,1909,429,102,468,3147,1704};

uint16_t __nmod_poly_cp_primes4[] = {3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,9967,9973,10007,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,10181,10193,10211,10223,10243,10247,10253,10259,10267,10271,10273,10289,10301,10303,10313,10321,10331,10333,10337,10343,10357,10369,10391,10399,10427,10429,10433,10453,10457,10459,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,10589,10597,10601,10607,10613,10627,10631,10639,10651,10657,10663,10667,10687,10691,10709,10711,10723,10729,10733,10739,10753,10771,10781,10789,10799,10831,10837,10847,10853,10859,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949,10957,10973,10979,10987,10993,0};
uint8_t __nmod_poly_cp_sm_coeffs4[] = {2,2,3,4,3,5,2,20,1,0,3,6,4,4,3,3,7,6,5,0,5,2,5,22,1,2,5,5,9,2,5,5,6,1,0,3,4,7,7,1,7,8,8,8,0,2,3,3,9,1,3,5,4,1,0,2,4,15,2,1,2,6,12,3,0,2,3,2,6,2,2,4,6,6,0,7,1,5,1,0,2,2,3,2,0,5,2,2,2,2,17,1,21,9,0,2,2,3,5,2,2,2,4,8,1,7,1,4,4,0,2,2,8,6,0,2,3,12,4,1,3,1,2,3,0,2,2,8,2,0,2,3,6,14,2,3,11,12,1,0,3,1,2,6,1,5,1,17,10,2,2,5,9,14,0,3,1,0,4,1,5,3,2,12,3,15,1,5,3,0,2,5,12,7,0,2,5,2,3,0,2,4,4,2,2,13,4,6,9,4,5,5,10,2,0,2,3,6,2,2,2,2,11,9,0,5,1,15,1,0,2,3,1,7,2,2,6,3,3,0,7,5,7,9,3,3,3,3,11,0,2,6,6,11,0,7,11,1,1,0,3,4,4,8,3,5,1,5,2,1,7,1,4,2,0,2,14,3,11,1,5,1,10,7,0,2,2,3,5,1,2,3,7,3,1,3,5,14,4,2,3,3,18,3,0,3,7,1,3,1,5,1,17,2,0,2,2,7,2,1,2,2,9,7,0,5,1,7,6,1,2,2,6,4,0,13,18,9,6,2,11,4,12,3,0,2,5,8,2,4,13,2,3,7,3,2,3,6,6,2,3,20,7,1,0,2,2,11,2,2,3,4,7,4,1,2,6,8,5,0,3,5,3,18,0,2,3,8,29,1,6,1,2,4,1,2,10,3,21,2,3,4,7,5,3,2,2,8,28,0,5,9,8,9,1,2,3,9,8,1,2,3,7,7,1,2,5,3,5,0,3,3,2,1,0,3,3,0,12,2,10,2,5,1,0,5,2,6,2,2,3,4,0,8,3,11,2,8,3,1,2,3,8,12,2,2,4,6,2,0,2,2,8,2,0,12,4,5,4,0,5,1,5,3,1,13,1,48,7,0,2,3,3,12,1,2,2,8,5,2,5,1,16,7,0,2,3,3,6,1,3,3,4,1,0,5,3,10,2,0,11,1,12,1,0,6,3,4,11,3,3,1,0,9,1,2,6,8,6,0,2,3,7,3,1,3,4,3,10,0,3,5,0,19,1,2,6,8,5,0,2,3,6,2,5,2,4,0,6,3,2,6,8,4,0,7,3,4,8,2,5,1,10,1,0,2,2,11,2,3,3,4,0,1,1,5,3,6,1,0,3,4,3,1,0,3,3,1,1,1,10,11,8,1,0,2,2,6,8,2,2,2,6,6,0,2,6,8,14,0,2,2,1,7,4,14,1,4,2,1,2,3,6,5,1,3,3,0,11,2,3,6,3,18,2,3,3,0,3,0,21,2,8,5,1,3,1,6,3,0,2,3,16,3,1,3,3,0,1,1,5,1,6,2,2,3,4,1,1,1,2,2,2,6,0,2,2,1,2,1,2,6,1,11,0,7,1,8,2,0,2,11,0,3,2,3,6,4,1,2,5,2,4,11,2,2,4,4,2,2,6,2,2,3,0,11,2,12,9,0,3,1,5,13,3,5,2,11,1,1,11,2,2,6,0,5,1,3,6,0,2,6,8,3,0,2,2,6,7,0,2,9,4,2,1,3,1,3,19,0,5,3,1,11,1,3,1,4,8,2,3,6,6,8,0,15,6,0,24,0,3,3,5,13,0,3,1,0,15,4,11,2,3,2,1,2,2,0,9,1,5,5,4,1,3,6,7,0,2,1,2,2,7,5,2,17,1,22,4,0,5,7,0,10,5,19,4,9,1,1,3,1,7,5,0,6,8,3,11,0,2,2,7,8,2,2,2,15,3,0,3,16,4,1,2,7,8,2,1,1,7,1,31,1,0,2,4,12,4,0,3,1,7,3,1,3,5,2,3,0,11,5,9,4,0,11,7,10,1,2,2,3,6,2,2,3,1,0,7,2,3,4,2,8,0,6,6,7,6,0,13,1,9,6,2,6,3,7,7,1,2,2,6,2,0,3,1,5,7,6,7,2,4,1,1,6,1,4,4,0,2,6,6,3,0,5,3,12,1,3,11,1,14,3,0,2,2,6,11,3,2,2,2,5,0,5,3,6,2,2,3,1,3,26,0,2,2,11,6,1,3,6,0,7,2,2,4,10,3,0,3,1,3,4,1,3,4,2,1,0,11,1,7,2,1,2,2,8,7,2,2,6,1,2,0,2,6,6,3,0,3,1,0,5,3,5,19,2,5,1,2,3,8,4,1,6,2,6,4,0,2,5,13,5,0,19,11,23,5,2,3,3,3,4,0,2,3,7,12,2,5,1,15,9,2,6,2,3,28,0,2,3,4,2,1,2,4,1,7,1,2,2,0,2,2,7,2,10,1,0,17,2,23,1,0,2,2,7,18,0,7,1,2,4,3,10,12,12,13,0,3,1,7,15,5,2,2,12,5,1,3,1,0,3,1,7,3,10,2,1,7,1,26,3,0,3,3,8,1,2,5,8,7,14,3,2,3,6,9,3,5,3,2,2,0,2,2,4,7,1,3,3,5,1,0,11,2,3,3,1,3,1,10,4,2,2,5,0,2,1,3,5,0,9,2,7,2,3,5,1,3,1,5,5,0,5,5,11,5,0,3,4,16,4,2,3,5,3,4,2,3,3,3,1,0,5,1,6,10,0,3,4,0,5,1,2,6,8,13,0,7,3,17,1,0,7,1,2,3,1,2,9,3,5,3,3,4,4,1,0,2,3,7,3,1,2,3,8,9,2,3,3,3,9,1,2,3,2,7,1,13,3,3,8,2,11,1,10,2,0,5,5,10,2,3,10,5,1,13,1,2,4,7,2,0,2,2,2,7,0,13,1,14,3,0,2,3,12,9,1,6,8,23,7,0,11,7,10,2,1,5,1,5,3,0,7,3,9,4,1,14,1,0,14,0,3,7,4,4,0,2,2,0,10,1,5,1,7,1,1,3,3,0,7,1,2,6,2,3,0,3,1,5,6,1,2,4,10,2,0,11,2,10,8,0,2,3,7,2,2,2,6,7,10,0,19,1,2,3,1,2,2,9,3,7,5,2,12,2,0,2,2,2,6,2,10,6,4,14,0,2,4,6,9,0,2,2,8,5,0,7,2,5,7,1,6,10,10,12,0,3,5,0,9,2,5,12,4,2,1,2,5,9,8,1,6,2,2,6,4,2,2,7,3,0,6,2,4,4,0,2,3,7,8,1,3,1,7,9,3,2,6,1,2,0,7,9,14,4,1,3,7,12,8,2,5,2,6,1,1,2,4,3,10,0,11,11,5,5,2,31,5,16,2,0,3,9,8,3,1,5,2,3,2,3,2,5,8,4,0,5,2,3,6,1,2,3,7,2,1,7,2,18,1,0,3,5,3,5,2,2,3,7,16,3,3,3,3,9,0,2,3,7,18,2,2,3,6,11,1,5,3,3,2,1,5,2,6,5,1,5,8,4,3,2,2,2,8,3,1,2,6,7,2,0,10,4,16,2,1,17,6,3,1,0,3,3,7,7,1,7,2,6,1,2,2,3,12,3,1,3,5,4,4,2,7,5,16,1,0,2,5,3,10,1,5,12,3,3,0,5,6,8,5,3,3,1,2,3,0,3,1,10,11,0,2,2,3,16,2,2,3,7,2,1,3,11,4,12,0,2,7,4,16,2,2,2,8,6,0,5,1,18,6,0,3,1,3,5,4,2,6,6,3,0,5,1,10,2,0,3,1,3,5,1,5,1,7,2,4,2,2,12,19,1,11,3,1,3,0,2,2,3,3,0,7,2,5,7,1,2,5,1,5,1,10,6,12,1,0,7,2,2,7,1,2,2,6,2,1,2,8,6,2,1,3,1,2,4,1,10,2,6,6,0,3,1,14,5,1,3,7,7,1,1,13,1,2,17,1,19,5,10,13,0,3,3,3,3,0,2,2,8,3,0,2,4,2,5,3,2,3,8,2,4,2,2,9,2,0,6,9,2,6,1,3,6,3,9,0,3,6,0,7,4,3,3,5,8,0,2,2,12,7,2,3,7,9,1,3,7,1,16,8,0,2,3,7,4,1,6,6,0,6,2,7,1,17,1,0,2,6,8,9,0,17,1,2,11,1,10,3,8,24,0,5,1,6,9,1,3,4,7,16,1,3,4,3,1,0,5,3,6,1,0,14,2,1,3,1,13,2,15,5,2,3,3,2,3,0,2,6,3,3,0,2,6,6,2,0,2,2,6,3,1,2,3,8,7,1,6,1,7,4,1,5,7,14,2,3,7,1,5,10,0,3,3,2,3,4,2,5,2,13,0,2,3,6,2,1,5,3,5,6,1,2,5,3,12,0,11,1,6,5,1,2,2,6,6,0,3,5,12,3,1,3,5,7,9,2,2,6,0,3,0,2,3,7,2,1,2,4,7,4,0,7,2,4,14,2,10,2,8,6,0,2,2,14,5,1,3,8,4,1,0,2,3,7,5,1,2,2,6,2,0,3,1,4,3,2,22,1,18,2,0,3,4,0,1,1,5,3,6,3,1,2,3,12,3,2,3,1,2,1,0,2,6,8,11,0,2,3,7,19,2,2,9,8,6,0,7,3,2,25,1,2,3,9,28,1,2,2,3,15,3,2,4,3,3,0,7,10,13,3,1,13,3,18,1,2,5,12,17,2,0,2,10,2,13,2,3,5,9,17,1,5,9,4,2,4,6,1,3,2,0,5,9,20,10,0,3,3,1,4,1,2,2,3,21,1,2,3,7,3,2,2,4,7,8,0,3,5,3,9,0,2,4,25,4,2,5,2,6,7,0,2,6,6,2,0,7,1,5,8,1,5,3,9,16,3,2,2,1,6,1,3,6,0,1,1,5,8,4,1,3,7,2,16,1,0,7,5,7,3,1,3,3,3,3,0,10,3,15,1,0,2,2,4,6,1,3,1,11,4,1,3,4,5,3,0,2,3,8,8,1,5,2,3,1,0,2,2,8,7,4,2,3,3,11,2,2,6,7,3,0,2,2,10,2,2,5,2,3,2,1,2,3,6,2,1,2,3,2,2,1,5,5,10,5,0,2,2,2,9,1,6,4,10,7,1,7,2,0,1,0,2,2,7,5,1,6,1,19,13,0,2,3,4,2,1,6,3,3,6,0,7,5,0,13,2,5,2,6,13,0,2,6,12,14,0,5,7,10,2,0,3,4,4,4,1,2,4,1,10,1,3,3,12,24,1,2,6,8,10,0,2,5,6,7,0,6,4,0,4,1,5,1,5,7,1,7,9,17,1,0,2,2,0,4,1,2,4,8,2,0,2,2,6,11,1,2,3,4,4,1,3,5,2,1,2,7,7,10,2,0,2,2,6,13,2,2,3,8,2,1,2,6,7,5,0,13,2,4,9,1,13,3,35,7,0,2,4,6,4,0,3,1,0,8,1,5,3,6,15,1,2,3,6,3,2,6,4,3,6,0,2,5,8,8,1,5,1,8,6,1,2,5,9,2,0,7,1,12,1,0,2,8,8,5,1,3,3,8,12,3,2,2,12,2,0,3,5,11,4,1,17,1,14,12,0,6,13,3,10,0,2,3,7,12,2,3,3,2,1,0,5,1,2,6,1,2,4,9,7,0,3,1,3,3,1,5,2,4,3,2,7,9,4,12,0,10,7,14,2,0,2,4,11,4,1,3,11,7,8,0,2,5,6,3,0,3,3,2,3,1,3,6,16,3,2,5,5,3,2,3,2,3,3,8,1,12,1,13,10,1,2,7,3,10,1,3,4,11,1,0,5,6,10,3,0,2,3,6,5,5,3,3,7,1,0,2,3,7,6,1,2,8,3,2,1,2,3,7,15,4,7,3,3,8,4,3,1,2,4,0,2,5,12,5,0,3,1,6,14,2,2,3,18,6,5,6,1,3,10,3,5,1,5,5,1,5,7,6,11,0,3,6,0,5,1,14,1,0,31,0,5,3,11,7,0,11,1,9,1,3,2,4,8,2,0,3,6,2,1,0,2,5,3,2,1,3,3,4,6,2,5,1,4,1,1,17,2,28,14,0,2,3,7,20,2,6,1,7,3,0,11,4,3,1,1,2,10,13,12,1,2,4,4,4,2,2,2,13,8,1,7,1,0,15,0,3,1,6,10,0,2,2,8,17,1,2,4,2,15,0,17,5,3,4,0,7,3,0,12,0,2,9,4,8,1,2,5,7,3,1,11,2,2,2,1,10,3,10,6,0,2,5,4,11,1,2,3,8,4,1,3,11,2,4,0,2,4,6,2,0,3,1,2,3,1,3,1,6,5,0,2,3,7,6,1,2,6,3,2,0,3,6,5,4,1,3,3,3,8,0,6,3,6,3,0,7,8,0,2,0,5,1,6,8,0,2,2,8,4,1,3,1,0,9,1,5,6,10,5,0,2,9,0,8,2,6,2,11,4,0,3,5,3,8,0,5,6,11,8,1,2,2,7,2,2,3,4,3,1,1,2,6,8,7,0,5,6,9,3,1,6,8,7,2,1,2,4,8,2,0,7,1,11,10,3,5,6,6,1,1,13,1,25,1,0,5,1,5,1,2,3,1,1,22,1,2,4,2,2,0,5,1,5,5,2,2,5,8,4,0,2,2,1,3,1,6,6,10,2,1,2,3,6,4,2,3,5,3,8,0,3,7,7,11,2,3,10,5,1,0,2,2,2,7,1,6,8,0,6,2,17,3,26,8,0,3,1,3,6,0,5,3,5,5,2,2,3,1,3,1,2,6,6,5,0,15,3,4,4,2,13,9,29,1,0,2,2,0,5,3,2,3,3,11,1,5,1,3,2,0,5,1,15,1,3,3,1,6,3,0,2,2,8,3,3,5,5,34,5,0,2,3,1,7,1,2,3,8,8,1,3,4,6,4,2,23,10,20,8,1,11,3,2,1,1,5,6,10,23,1,2,6,8,2,0,5,5,10,2,2,2,3,2,5,2,2,2,10,3,0,7,1,4,5,1,2,3,1,7,2,3,1,6,11,0,3,5,0,8,1,2,4,1,2,2,3,1,5,15,0,2,5,13,4,2,3,1,5,3,1,5,6,11,13,0,2,2,12,2,2,11,2,27,1,0,2,3,7,4,1,6,6,11,6,0,13,5,11,1,3,2,2,13,7,1,3,5,0,4,2,2,2,8,6,0,7,9,4,3,5,7,3,16,4,0,3,5,4,6,1,2,2,4,4,1,5,2,7,19,0,2,3,4,4,2,3,3,4,9,1,3,1,12,13,0,7,2,0,4,0,2,2,7,5,2,3,10,3,3,0,3,3,0,1,0,6,6,5,2,0,10,6,5,11,0,3,1,5,4,0,6,3,8,12,0,3,4,4,1,1,3,3,2,6,0,6,3,8,6,0,3,12,0,3,2,2,2,3,5,2,2,6,10,2,0,3,9,2,1,0,3,1,3,4,0,2,2,4,7,1,3,7,4,7,1,2,7,15,9,2,2,3,7,2,1,19,7,7,12,2,13,4,14,4,0,3,1,7,3,2,5,5,11,8,0,3,5,0,1,1,2,6,8,3,0,2,3,6,12,1,7,1,4,4,1,3,4,4,1,0,2,2,8,11,2,5,3,8,17,2,2,3,3,4,2,5,2,10,7,3,2,2,0,3,0,2,4,13,2,1,3,10,3,12,1,3,6,6,7,0,2,6,6,9,0,3,1,11,5,1,3,4,4,5,4,2,9,0,3,1,2,6,7,2,0,7,3,2,5,1,5,9,14,5,0,2,4,1,4,1,22,2,2,3,0,3,12,14,6,1,3,4,4,1,0,2,2,4,2,1,3,1,1,19,2,7,2,8,2,3,2,5,4,6,3,3,3,11,6,1,3,4,3,6,0,3,3,7,3,2,2,2,1,2,5,2,11,8,2,1,2,2,10,6,0,11,7,4,8,1,2,3,8,15,4,13,5,42,15,0,2,5,5,6,0,2,2,8,3,0,5,1,8,18,2,2,2,0,13,1,3,7,6,7,0,2,6,8,4,0,7,2,0,11,0,2,2,6,6,0,2,3,1,21,2,3,7,2,8,0,3,6,0,4,1,10,5,10,24,0,17,1,8,3,3,7,5,22,1,0,2,2,8,2,0,3,8,5,1,0,5,8,6,2,1,2,5,4,6,2,5,2,3,3,3,13,9,14,1,0,6,4,2,6,0,3,4,2,4,0,11,1,2,2,2,2,2,2,3,1,3,1,6,13,0,5,1,6,1,0,10,11,2,3,0,3,6,12,5,1,7,1,2,1,1,2,2,4,7,2,5,5,4,10,2,2,4,1,3,0,3,3,3,3,1,2,2,11,12,0,5,1,6,3,1,2,4,8,2,1,2,4,8,9,0,2,4,0,6,1,3,1,4,3,1,10,4,4,2,2,2,3,7,2,2,2,4,10,5,0,3,3,4,4,0,11,1,2,8,0,5,3,11,3,1,11,1,11,1,1,2,2,1,3,1,3,1,2,3,3,3,4,4,9,2,2,3,14,3,1,2,4,6,4,0,11,2,12,3,5,2,3,8,8,1,2,2,3,2,0,2,6,1,5,0,5,8,4,1,1,12,5,3,4,1,2,3,7,2,1,2,5,8,4,1,2,5,3,5,0,7,1,4,17,1,3,1,3,4,0,2,2,17,5,1,3,1,0,9,5,7,1,8,9,0,2,9,3,7,1,3,7,4,1,1,6,1,2,7,1,5,1,14,12,1,7,2,13,7,0,5,5,6,2,1,2,8,6,11,1,2,5,0,5,1,2,2,1,17,0,7,1,3,1,1,10,5,16,4,1,3,1,0,4,1,2,2,0,7,2,3,4,2,6,9,3,5,4,12,1,7,8,0,9,0,2,3,2,2,1,5,3,11,7,0,3,3,7,10,1,5,5,3,5,2,2,4,9,29,1,13,4,0,14,5,19,1,3,6,2,6,1,4,4,1,2,3,8,4,3,7,8,8,5,0,3,1,2,11,1,5,3,3,11,2,3,3,6,4,2,2,2,8,5,0,5,2,5,9,1,2,2,6,5,0,5,1,5,5,1,2,3,7,12,1,2,2,6,11,0,7,1,21,3,0,3,5,15,5,3,3,3,5,13,1,23,10,4,2,1,6,2,2,6,0,2,3,3,18,1,5,11,3,2,0,3,7,2,3,8,5,5,3,3,1,2,8,8,6,2,5,1,6,2,0,11,1,5,1,2,6,3,5,3,2,7,2,6,8,0,7,3,14,3,0,3,1,0,3,0,2,3,4,16,1,5,7,3,5,4,2,12,0,21,2,2,5,3,4,2,3,9,2,1,0,2,2,8,6,0,7,7,0,5,1,2,3,9,2,2,6,2,5,4,1,11,2,21,1,0,3,4,2,4,0,10,4,11,11,2,2,2,17,12,0,19,2,5,2,10,7,5,2,10,0,2,6,10,7,0,5,5,10,7,2,2,2,8,3,1,2,2,0,5,1,2,2,12,9,0,2,2,8,6,0,2,3,2,2,2,3,1,2,7,2,2,6,2,16,0,3,1,5,5,0,2,6,3,27,0,3,4,1,11,1,3,1,3,8,0,2,3,12,2,1,5,1,7,1,3,2,3,7,4,1,2,4,3,8,1,2,6,8,5,0,7,10,21,1,0};
uint16_t __nmod_poly_cp_md_coeffs4[] = {3369,3366,2291,2408,1283,2758,3368,3372,3354,1701,2205,2230,3386,3387,3385,2246,619,3370,3388,3389,2209,38,1728,3156,3402,3405,2792,1933,3127,1959,3411,3405,2381,1557,3367,2318,3428,3432,1930,2465,1603,1777,3446,3448,2833,1525,1591,526,3450,3454,2376,3136,2416,3421,3459,3460,3161,1077,1453,3380,3460,3461,3459,2512,2050,491,3465,3455,2489,1625,364,3455,3467,3465,2383,3457,3451,3465,3489,3490,1980,681,1056,2910,3497,3498,3149,1570,3394,2404,3504,3508,2456,1811,3091,2649,3515,3516,2895,646,1777,3426,3522,3526,2323,766,3357,2445,3512,3525,1957,559,3222,338,3531,3532,3345,746,1540,1167,3537,3525,3080,294,3273,2694,3534,3535,3537,1620,3281,2886,3545,3546,3540,3029,624,2127,3555,3553,3127,2418,1690,2780,3556,3558,1956,3488,412,1908,3569,3567,2653,1424,2222,3504,3579,3577,2125,1283,1744,316,3580,3582,3572,549,607,2464,3590,3585,3195,3077,1496,2356,3602,3605,2930,3486,3024,913,3611,3609,3295,1181,2771,2217,3614,3605,2714,825,2384,42,3618,3616,1865,3350,1960,2559,3616,3630,3231,2672,2089,3556,3635,3630,1942,3284,865,1745,3641,3642,2103,2646,2013,2118,3657,3658,2273,1806,2084,2998,3658,3667,3010,1907,728,579,3668,3670,2625,54,1117,3020,3675,3673,2118,3242,690,3160,3689,3685,3456,2293,2814,3611,3692,3692,2023,2968,780,3552,3699,3697,2072,2528,2741,2061,3707,3708,2816,2504,2011,181,3712,3716,3402,1864,1919,3182,3724,3725,2722,2653,1052,1194,3731,3729,3404,3721,3715,3729,3732,3736,2830,3724,475,2935,3758,3760,3323,2793,2314,272,3762,3765,2094,2774,504,2920,3762,3751,3487,371,1049,2185,3777,3774,2807,158,3225,191,3788,3788,3571,2860,3155,3660,3795,3796,3340,3487,2754,1721,3801,3799,2826,2899,2520,2493,3818,3819,2640,242,2236,2523,3820,3822,2316,3256,688,2440,3830,3827,2810,2090,3555,3536,3842,3845,2007,2960,2951,3576,3849,3847,2109,538,2883,1595,3851,3852,3714,1061,683,3379,3858,3858,3343,2842,3189,2955,3875,3876,2067,2388,1029,2690,3868,3879,3449,1214,1806,2289,3878,3888,2189,418,1211,2603,3905,3903,2057,2140,3244,3396,3898,3909,3384,509,2434,770,3915,3913,3340,2753,2025,635,3916,3914,3459,3364,1782,1393,3921,3922,3517,2908,1332,444,3926,3928,3318,3588,3864,2235,3929,3927,2867,3919,3913,3927,3940,3941,3258,344,3559,2762,3945,3946,3940,2244,2906,2996,3961,3966,2458,768,313,254,3987,3988,3348,1169,1437,2331,3998,4000,2873,1714,3347,624,4001,4002,3996,139,3070,2275,4002,4005,2773,738,297,3896,4011,4009,2953,312,1603,3671,4017,4015,3470,3869,2830,3408,4019,4020,2365,3492,2818,1504,4024,4020,3765,423,4007,3986,4046,4043,4037,1007,3235,653,4041,4050,2367,1767,3082,701,4052,4056,2914,1797,3212,2395,4070,4061,3117,2900,4001,3356,4068,4076,3922,265,679,1978,4089,4090,4084,155,771,4021,4091,4092,3106,1942,1514,2807,4097,4095,3462,2299,633,3078,4099,4110,3586,1053,973,3920,4122,4125,2630,1872,1197,3436,4116,4120,3348,64,3902,3622,4131,4132,2646,849,3596,3591,4137,4135,3367,3148,2490,3012,4148,4150,2470,1334,1363,1137,4155,4156,3798,1241,1691,2413,4156,4157,4155,524,318,2954,4172,4174,2899,2637,2547,2641,4190,4200,2944,4121,1043,4040,4205,4208,4052,2570,1635,4208,4214,4212,4045,2712,633,2499,4217,4218,4212,2522,1265,3909,4227,4225,2478,1927,83,427,4228,4230,3325,956,953,3565,4238,4235,4229,1001,170,2946,4241,4239,2742,4231,4225,4239,4251,4249,2244,3397,1152,2531,4257,4246,3422,3885,1573,4168,4259,4260,4254,3462,1719,2416,4264,4269,2992,2631,1442,2342,4268,4268,2546,1236,2690,1754,4281,4279,3405,187,3765,1768,4286,4283,4277,295,148,3642,4292,4296,3648,3561,3069,3822,4324,4325,2389,1155,3649,3566,4334,4330,4175,55,176,3754,4329,4337,2523,2434,2335,3625,4347,4345,2432,4221,3320,4068,4355,4356,3793,2229,1623,3187,4361,4359,4144,4351,4345,4359,4371,4367,2568,3528,4263,3992,4377,4388,2791,3177,2954,3175,4395,4393,2377,1409,3598,4101,4406,4403,4397,2342,2421,2996,4418,4420,3830,1494,1122,4112,4420,4417,4411,3440,4067,3428,4420,4440,4142,3103,3247,629,4444,4445,2739,775,3099,2489,4449,4447,3166,256,3346,1419,4454,4452,4268,2943,3671,2423,4458,4460,2602,280,3180,1205,4478,4468,3892,4213,3703,3999,4481,4482,4367,2616,1198,695,4491,4489,4132,3144,2017,1085,4505,4503,2907,4495,4489,4503,4506,4510,2378,3674,235,3867,4515,4512,4284,1108,3536,3489,4516,4517,4515,2478,149,3566,4518,4520,3148,1902,3411,3259,4545,4541,4148,1387,3790,2417,4543,4545,4058,46,4336,886,4550,4560,4381,1145,3578,2777,4564,4566,2779,3246,976,4123,4578,4581,4571,53,4496,4242,4580,4590,2962,957,2109,2806,4592,4596,4179,2664,3847,2401,4601,4599,4153,4591,4585,4599,4619,4617,4013,1100,2174,879,4635,4631,2395,305,4319,808,4636,4637,3896,1317,1809,1606,4638,4634,2546,3845,2560,4022,4646,4648,4013,2396,3040,479,4648,4642,3318,843,1576,4195,4642,4652,3692,2713,2474,4346,4660,4662,3855,4017,2517,4263,4670,4668,2460,865,3238,160,4668,4677,4414,184,2733,3552,4689,4684,4509,4288,4489,3051,4698,4702,3012,3972,487,3929,4715,4718,4464,693,182,858,4721,4722,4408,4018,2920,2673,4712,4718,4536,2614,4300,4551,4728,4721,3462,1,969,4094,4732,4747,3565,4544,1906,704,4756,4753,2513,3147,1700,1939,4777,4782,4466,4214,3223,2342,4785,4783,3115,4307,4559,3742,4787,4784,3684,1158,1476,1036,4790,4792,2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365,749,6168,4056,9304,9309,6729,4113,1876,1736,9316,9317,9315,6313,8883,8118,9321,9322,9316,6343,5860,726,9332,9336,7142,5575,6468,244,9339,9340,6817,2514,6633,7176,9338,9342,6592,2315,2343,6295,9347,9341,5840,8492,2492,7008,9369,9370,5834,6635,7764,3855,9374,9368,5819,3121,5127,2868,9388,9390,6807,1863,2392,5521,9395,9396,7969,5616,6531,5832,9400,9396,9129,5255,7055,4230,9410,9412,5447,8993,8167,4942,9417,9413,6628,7744,1647,8231,9419,9420,8855,4585,2484,1701,9424,9430,6132,2701,1680,8388,9428,9430,9422,8892,1778,9190,9435,9428,6215,2779,7855,3741,9417,9438,8780,8565,5999,6390,9458,9459,7151,1197,6380,4176,9460,9461,9459,5543,5930,5856,9465,9466,6384,1881,6205,5578,9470,9467,5129,1935,6654,995,9472,9472,6365,7469,8721,3242,9489,9476,5083,270,5031,8755,9494,9491,6593,6345,5362,863,9508,9510,9373,6658,4480,7514,9518,9520,5073,4999,8694,307,9531,9529,5479,2635,4771,6184,9537,9538,9532,4451,8475,9120,9545,9546,4903,9537,5553,3164,9540,9550,8763,4846,6942,2120,9585,9583,7602,3461,1202,8007,9588,9598,6113,8072,4399,5411,9611,9606,6141,3952,1517,6558,9617,9615,7026,373,4736,8835,9618,9621,7793,3984,8996,5702,9627,9621,6790,4940,5754,6591,9628,9629,5229,5073,5882,7033,9641,9639,5310,9631,9625,9639,9642,9642,5002,7129,3802,1048,9659,9657,9105,8970,4756,665,9675,9673,8915,747,3816,3455,9676,9678,7499,90,9445,7366,9686,9683,9677,223,5702,6648,9687,9692,6346,3349,7898,2350,9702,9712,5263,7452,2386,9440,9714,9718,9702,113,1306,5624,9731,9732,9726,8889,7453,2254,9736,9732,8326,9508,7496,2435,9738,9740,5224,6883,8750,5105,9747,9748,5546,7694,5721,3734,9762,9765,9763,2381,5959,3257,9756,9768,6230,6921,632,8704,9775,9777,5001,9149,9684,2229,9784,9786,6629,5127,4555,9505,9780,9790,6086,2437,3419,6324,9801,9802,7808,1791,6435,2148,9808,9810,6930,7526,2384,5050,9812,9816,5210,1895,215,6969,9819,9825,5988,2581,8245,8531,9830,9824,6035,3223,2059,6117,9832,9838,5413,8207,1934,3887,9849,9845,5951,6021,1251,5705,9852,9856,9114,4495,7184,7053,9857,9855,9231,2796,4250,5028,9868,9869,6493,7230,2345,4177,9881,9882,5028,8787,9638,9399,9882,9882,7319,8678,2032,6861,9899,9900,9894,1748,4483,8692,9905,9903,6151,5230,3284,7577,9921,9918,9317,2269,2624,6629,9926,9928,8041,2171,5942,8347,9921,9928,9545,2316,8350,5581,9939,9937,8321,1291,7931,1408,9947,9945,9170,1443,1156,6970,9964,9965,9963,6881,7254,9681,9962,9969,7687,3928,2985,9944,10002,10005,9995,7978,7220,7070,9998,10005,9995,8706,3520,9952,10035,10033,7099,102,8872,6761,10036,10038,6587,4408,9268,8821,10058,10059,10057,8516,7568,6258,10065,10063,7032,9132,2222,7159,10067,10065,8451,2432,8214,5305,10068,10076,5337,9540,4152,9065,10089,10087,6538,7118,9253,3773,10091,10092,5918,6200,562,4293,10097,10095,9440,355,883,6474,10098,10102,6950,8645,8394,7728,10099,10109,8381,91,4329,5293,10131,10129,5713,9574,3849,8838,10137,10138,10132,1353,1688,2822,10139,10140,8225,4279,4575,8246,10144,10149,7169,502,5985,7872,10156,10157,9468,9446,9225,438,10161,10159,8097,2747,2058,9888,10166,10163,10157,9807,1773,6295,10170,10174,10034,8952,8195,10064,10179,10180,6033,3594,8153,7912,10190,10192,8097,3862,8561,9167,10205,10210,8236,7499,8739,8209,10218,10221,9079,7202,5227,9800,10236,10241,9513,5937,6838,8205,10242,10244,5485,5326,8735,6340,10251,10252,8614,2012,2852,5703,10257,10249,8416,1727,5263,7235,10265,10263,8737,3657,3099,4244,10264,10270,6272,9500,1943,3784,10263,10268,9542,2243,6345,3002,10286,10283,10277,8887,8083,9311,10299,10293,9322,1126,316,2802,10300,10302,9982,119,6862,2036,10310,10312,5430,3920,3425,5885,10314,10314,5844,8505,8845,7362,10329,10330,8493,3409,9355,5321,10328,10328,6295,5943,6139,5383,10334,10336,9346,9593,5351,1518,10338,10341,10339,4855,709,8804,10355,10353,9464,7218,4223,6369,10356,10358,5914,9237,7072,9774,10372,10389,8160,8612,5888,4117,10393,10397,10004,3057,5189,6359,10425,10423,6390,2327,2364,2585,10422,10423,6339,702,1521,2882,10430,10428,9291,5541,9400,2175,10448,10452,8607,9188,8836,20,10454,10456,5413,3710,9475,2194,10457,10455,5399,5965,1050,1150,10458,10461,7139,2150,9054,10455,10475,10476,9846,5188,9854,6644,10482,10486,5442,10225,1681,7999,10497,10495,7152,6824,8169,10136,10499,10497,5365,806,246,10118,10506,10506,8031,4862,7613,5528,10526,10520,9453,9960,3590,9477,10528,10524,9291,4037,4785,8414,10536,10558,10135,4513,1327,8562,10561,10566,8731,2127,2150,5867,10587,10588,5746,6284,3375,5122,10592,10596,8893,8342,5064,9389,10598,10596,5797,1548,5573,8384,10602,10599,10428,3761,10137,9577,10611,10608,7629,5300,6621,6918,10622,10625,10619,2103,2607,6675,10620,10629,7438,2265,3246,2360,10633,10635,6229,7741,10588,5732,10644,10649,8034,8343,5328,6888,10650,10650,8173,6442,4670,9286,10660,10657,10651,2853,8493,7534,10665,10666,9077,9831,1922,2875,10682,10685,10683,8608,2242,1554,10689,10685,8483,4913,8402,879,10707,10708,6531,2824,7462,9497,10708,10710,7232,9464,216,6034,10721,10722,10716,8107,9992,10099,10722,10722,8196,9079,3233,3512,10731,10729,5821,9859,3470,7843,10733,10738,6930,10428,8594,10506,10742,10752,9268,8853,456,6717,10768,10770,10157,4964,4159,3365,10771,10780,7606,8080,7494,10445,10787,10782,7877,8124,4627,10087,10780,10797,9456,8481,4614,8994,10824,10822,10215,6435,9453,10520,10835,10833,10360,10825,10819,10833,10842,10845,6619,5616,1870,8460,10851,10852,10846,4861,2671,8870,10857,10853,6366,1506,6878,10660,10859,10857,10395,7967,1894,9957,10865,10866,10860,7094,7525,5213,10881,10882,8117,6775,5586,8864,10886,10884,6640,7550,68,2058,10889,10890,6688,6672,8404,2556,10900,10902,7497,3939,7090,1946,10907,10908,9660,4559,6806,6471,10934,10931,10641,9042,5447,8395,10936,10934,10791,6782,6456,6392,10947,10945,9086,4707,4207,10455,10952,10956,6612,2344,954,10070,10971,10969,7937,1660,7027,5553,10977,10974,10209,1555,2504,2716,10985,10983,8862,10975,10969,10983,10986,10986,9709,4015,6869,8311};

uint16_t __nmod_poly_cp_primes5[] = {11003,11027,11047,11057,11059,11069,11071,11083,11087,11093,11113,11117,11119,11131,11149,11159,11161,11171,11173,11177,11197,11213,11239,11243,11251,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,11447,11467,11471,11483,11489,11491,11497,11503,11519,11527,11549,11551,11579,11587,11593,11597,11617,11621,11633,11657,11677,11681,11689,11699,11701,11717,11719,11731,11743,11777,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,11839,11863,11867,11887,11897,11903,11909,11923,11927,11933,11939,11941,11953,11959,11969,11971,11981,11987,12007,12011,12037,12041,12043,12049,12071,12073,12097,12101,12107,12109,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,12227,12239,12241,12251,12253,12263,12269,12277,12281,12289,12301,12323,12329,12343,12347,12373,12377,12379,12391,12401,12409,12413,12421,12433,12437,12451,12457,12473,12479,12487,12491,12497,12503,12511,12517,12527,12539,12541,12547,12553,12569,12577,12583,12589,12601,12611,12613,12619,12637,12641,12647,12653,12659,12671,12689,12697,12703,12713,12721,12739,12743,12757,12763,12781,12791,12799,12809,12821,12823,12829,12841,12853,12889,12893,12899,12907,12911,12917,12919,12923,12941,12953,12959,12967,12973,12979,12983,13001,13003,13007,13009,13033,13037,13043,13049,13063,13093,13099,13103,13109,13121,13127,13147,13151,13159,13163,13171,13177,13183,13187,13217,13219,13229,13241,13249,13259,13267,13291,13297,13309,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411,13417,13421,13441,13451,13457,13463,13469,13477,13487,13499,13513,13523,13537,13553,13567,13577,13591,13597,13613,13619,13627,13633,13649,13669,13679,13681,13687,13691,13693,13697,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781,13789,13799,13807,13829,13831,13841,13859,13873,13877,13879,13883,13901,13903,13907,13913,13921,13931,13933,13963,13967,13997,13999,14009,14011,14029,14033,14051,14057,14071,14081,14083,14087,14107,14143,14149,14153,14159,14173,14177,14197,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323,14327,14341,14347,14369,14387,14389,14401,14407,14411,14419,14423,14431,14437,14447,14449,14461,14479,14489,14503,14519,14533,14537,14543,14549,14551,14557,14561,14563,14591,14593,14621,14627,14629,14633,14639,14653,14657,14669,14683,14699,14713,14717,14723,14731,14737,14741,14747,14753,14759,14767,14771,14779,14783,14797,14813,14821,14827,14831,14843,14851,14867,14869,14879,14887,14891,14897,14923,14929,14939,14947,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073,15077,15083,15091,15101,15107,15121,15131,15137,15139,15149,15161,15173,15187,15193,15199,15217,15227,15233,15241,15259,15263,15269,15271,15277,15287,15289,15299,15307,15313,15319,15329,15331,15349,15359,15361,15373,15377,15383,15391,15401,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497,15511,15527,15541,15551,15559,15569,15581,15583,15601,15607,15619,15629,15641,15643,15647,15649,15661,15667,15671,15679,15683,15727,15731,15733,15737,15739,15749,15761,15767,15773,15787,15791,15797,15803,15809,15817,15823,15859,15877,15881,15887,15889,15901,15907,15913,15919,15923,15937,15959,15971,15973,15991,16001,16007,16033,16057,16061,16063,16067,16069,16073,16087,16091,16097,16103,16111,16127,16139,16141,16183,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267,16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,16411,16417,16421,16427,16433,16447,16451,16453,16477,16481,16487,16493,16519,16529,16547,16553,16561,16567,16573,16603,16607,16619,16631,16633,16649,16651,16657,16661,16673,16691,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811,16823,16829,16831,16843,16871,16879,16883,16889,16901,16903,16921,16927,16931,16937,16943,16963,16979,16981,16987,16993,17011,17021,17027,17029,17033,17041,17047,17053,17077,17093,17099,17107,17117,17123,17137,17159,17167,17183,17189,17191,17203,17207,17209,17231,17239,17257,17291,17293,17299,17317,17321,17327,17333,17341,17351,17359,17377,17383,17387,17389,17393,17401,17417,17419,17431,17443,17449,17467,17471,17477,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573,17579,17581,17597,17599,17609,17623,17627,17657,17659,17669,17681,17683,17707,17713,17729,17737,17747,17749,17761,17783,17789,17791,17807,17827,17837,17839,17851,17863,17881,17891,17903,17909,17911,17921,17923,17929,17939,17957,17959,17971,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059,18061,18077,18089,18097,18119,18121,18127,18131,18133,18143,18149,18169,18181,18191,18199,18211,18217,18223,18229,18233,18251,18253,18257,18269,18287,18289,18301,18307,18311,18313,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427,18433,18439,18443,18451,18457,18461,18481,18493,18503,18517,18521,18523,18539,18541,18553,18583,18587,18593,18617,18637,18661,18671,18679,18691,18701,18713,18719,18731,18743,18749,18757,18773,18787,18793,18797,18803,18839,18859,18869,18899,18911,18913,18917,18919,18947,18959,18973,18979,19001,19009,19013,19031,19037,19051,19069,19073,19079,19081,1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uint8_t __nmod_poly_cp_sm_coeffs5[] = {2,4,8,2,3,8,3,4,3,3,1,7,10,8,0,2,12,0,3,6,3,2,6,8,5,5,3,2,2,6,13,4,14,3,1,4,3,1,6,2,4,8,10,2,7,7,11,4,7,1,16,2,3,4,5,1,18,3,4,9,2,6,6,2,2,1,3,1,2,5,7,3,13,2,2,10,4,10,2,3,3,3,3,0,7,7,2,3,1,6,3,1,6,3,1,4,2,2,8,3,5,7,7,3,5,7,11,2,7,3,8,3,3,2,5,2,9,3,3,4,11,1,5,7,4,7,5,2,3,2,2,3,2,2,7,5,1,14,5,2,2,11,1,2,2,2,14,3,5,0,3,3,2,7,7,8,3,4,2,7,3,3,5,5,2,2,3,8,7,4,2,2,2,3,2,6,8,5,2,12,3,4,7,10,4,21,2,3,6,3,4,4,3,6,6,2,4,18,3,1,2,7,2,0,2,4,8,6,2,12,2,7,3,6,2,4,3,6,3,3,3,12,3,1,2,2,5,2,5,7,2,2,2,7,3,4,0,5,2,6,2,5,9,2,6,3,2,4,8,7,1,11,5,3,6,3,3,3,3,4,4,2,3,7,3,1,18,3,1,4,5,2,3,2,5,2,5,1,5,5,3,10,2,2,4,2,9,3,10,3,3,5,3,6,3,4,2,3,10,4,10,2,5,2,2,0,2,2,1,13,5,3,2,3,9,5,1,6,3,6,4,2,2,2,13,4,35,11,4,6,7,2,8,5,3,12,3,4,1,2,4,3,6,8,7,3,4,0,7,1,7,10,10,2,2,5,2,2,2,3,3,3,2,5,2,2,2,11,6,2,3,8,2,5,6,2,2,2,13,3,2,7,5,14,2,2,3,2,2,3,5,1,3,2,5,4,2,2,6,3,1,0,11,1,23,2,5,6,2,3,2,3,6,8,7,3,0,2,2,4,2,4,6,6,3,1,2,5,8,26,1,3,3,6,0,7,4,16,2,8,6,7,5,4,13,3,11,2,3,3,3,1,7,10,2,8,3,3,16,23,3,14,3,10,2,2,3,7,3,4,25,5,2,7,3,5,6,6,1,6,5,5,1,2,3,8,14,2,1,2,2,7,5,5,6,3,3,0,10,4,15,5,1,15,2,4,8,11,3,23,2,2,7,2,6,3,2,5,2,2,4,6,3,3,2,5,1,8,2,3,6,2,3,9,14,6,8,3,1,11,7,11,14,3,4,10,3,5,7,13,5,14,2,6,6,5,3,3,2,2,7,2,4,8,2,4,3,7,13,3,13,7,4,3,8,0,2,7,6,3,5,4,2,6,8,21,1,18,5,1,10,13,1,0,3,1,4,2,3,7,2,2,2,23,3,3,2,3,6,6,3,4,2,5,8,2,3,1,3,3,4,7,1,2,3,8,10,14,1,3,2,2,20,5,8,6,3,1,6,5,9,6,5,2,3,7,2,14,5,5,10,2,2,3,2,4,4,3,6,0,5,1,5,6,2,0,3,1,3,5,2,6,2,4,3,7,1,4,5,6,5,2,5,8,13,2,3,3,1,6,2,2,4,11,3,1,5,1,12,3,3,6,2,2,2,3,6,7,3,1,2,2,3,3,3,3,0,7,2,0,6,2,2,3,4,6,2,4,2,5,1,15,6,9,11,3,5,26,3,1,5,2,3,8,3,6,25,2,4,8,5,7,5,10,4,10,2,2,23,3,9,4,2,6,2,5,7,8,10,6,12,11,2,24,2,3,7,3,5,1,5,2,8,2,2,6,2,6,10,5,9,3,6,1,2,5,1,12,2,3,2,7,7,17,3,4,0,3,17,6,3,9,0,3,4,2,5,2,12,2,2,4,2,7,1,2,6,8,5,10,6,3,5,0,6,2,7,7,1,11,22,5,13,3,5,6,2,4,1,6,3,10,3,3,0,2,3,1,6,3,3,3,1,2,2,2,8,23,7,28,11,1,3,2,3,7,6,2,3,2,4,0,7,1,3,7,3,4,7,1,2,5,7,12,2,4,4,6,3,3,6,4,0,2,3,0,5,5,6,2,3,6,6,1,2,2,3,0,2,3,3,3,5,5,2,2,4,3,1,9,7,2,14,2,3,8,2,2,3,3,1,2,5,1,6,2,3,6,3,5,3,3,6,1,2,4,8,6,1,7,3,3,4,2,2,8,3,1,12,7,2,2,3,1,2,3,1,2,5,5,5,2,6,8,3,1,2,6,1,2,3,4,7,13,2,4,2,2,6,3,1,0,11,1,7,5,3,3,2,2,10,2,2,7,3,5,3,3,1,5,19,4,32,6,1,7,5,1,4,3,1,7,5,1,6,5,1,3,2,4,3,3,7,3,3,1,0,2,3,7,2,2,18,11,2,20,19,1,11,2,4,3,2,4,6,5,1,3,3,3,3,5,3,7,5,6,7,22,1,39,2,4,3,3,1,4,3,3,2,3,15,10,13,1,4,2,4,2,3,5,4,5,2,2,2,4,0,3,1,6,2,4,6,6,2,0,3,1,2,11,2,5,5,7,14,2,7,4,2,3,7,2,5,0,3,1,9,11,1,7,2,7,12,3,3,0,2,2,1,3,5,3,2,3,4,5,5,14,2,2,6,2,3,7,10,3,2,10,7,6,2,3,9,2,2,1,3,3,6,17,5,3,3,8,6,2,2,0,3,8,2,5,5,10,2,6,3,2,3,6,2,4,6,2,6,8,11,1,4,2,3,13,2,5,8,2,2,4,2,2,6,7,2,2,3,1,3,2,2,7,3,1,1,2,5,10,7,1,16,2,3,7,2,6,8,19,1,2,2,2,8,3,3,2,3,6,4,2,2,6,3,4,7,3,3,3,2,8,4,2,5,10,5,3,15,2,3,9,2,2,0,2,6,1,2,7,0,2,8,0,11,3,23,2,3,8,3,1,0,2,4,2,2,2,7,3,7,0,2,3,7,2,4,8,5,8,6,6,6,4,10,2,21,2,3,8,3,5,1,11,2,14,2,5,2,5,6,8,2,5,9,11,5,6,6,1,7,5,1,8,11,1,16,2,3,8,3,1,5,5,3,20,3,11,7,3,1,7,2,2,8,2,6,22,11,1,6,7,2,0,2,5,6,3,8,0,5,2,2,12,6,10,6,11,6,2,2,3,2,5,2,3,8,3,2,3,3,3,4,6,2,3,3,5,5,3,3,1,6,5,1,3,3,11,9,3,10,4,5,3,9,6,1,2,7,5,3,3,6,6,3,1,2,2,3,8,5,7,3,23,2,8,3,1,3,7,3,6,2,3,8,3,3,2,5,2,0,5,12,4,11,3,27,2,2,12,2,6,8,13,3,3,11,3,2,2,3,2,3,5,2,2,2,3,6,3,4,3,3,7,2,6,2,2,7,8,3,1,2,5,6,3,2,4,19,2,6,8,29,1,3,2,2,4,2,3,8,3,5,5,5,1,14,3,1,3,2,2,8,5,1,6,3,3,7,5,2,5,21,3,18,10,2,3,2,2,24,5,2,12,6,1,6,2,2,11,7,1,8,11,1,8,2,2,8,7,4,9,12,6,6,3,3,4,5,5,5,5,1,24,7,4,14,12,5,2,5,1,2,2,4,0,2,2,9,3,3,7,5,11,5,6,3,2,3,8,1,5,2,2,7,1,5,5,5,7,2,2,3,6,4,10,3,1,3,2,2,2,2,6,3,5,2,2,3,3,2,5,1,11,2,3,1,3,4,3,17,6,20,2,5,3,3,6,2,7,1,14,2,3,3,7,3,11,2,6,12,2,5,8,2,3,6,3,7,2,2,4,14,7,4,16,2,4,6,3,1,2,10,4,21,2,8,7,2,3,7,3,11,4,3,5,5,7,3,4,2,2,3,2,2,8,6,7,3,5,1,5,2,3,6,3,6,3,3,10,7,2,2,2,3,1,9,7,1,14,3,4,3,2,7,12,2,6,16,5,1,10,2,2,7,19,1,8,15,4,14,3,6,0,2,4,12,5,13,6,10,7,7,3,1,7,6,1,7,2,6,3,3,10,3,5,8,2,13,2,16,6,1,11,2,2,2,3,4,6,2,2,21,2,3,13,7,2,2,5,3,8,2,2,12,6,3,3,2,6,13,17,2,3,3,4,6,2,15,0,3,7,4,2,3,8,3,3,5,17,3,16,6,1,2,2,3,2,3,1,7,5,7,7,2,5,8,2,2,0,2,6,3,3,1,3,10,5,14,2,2,8,2,8,0,2,2,4,10,6,10,3,5,1,7,1,0,3,1,2,2,4,10,2,6,36,2,2,1,2,3,2,3,5,2,3,4,14,2,3,7,5,1,6,7,1,3,3,11,2,5,1,7,2,4,1,3,4,3,2,5,8,5,3,3,14,5,0,13,3,6,6,3,3,5,1,10,6,1,1,7,3,7,2,6,8,2,2,6,3,6,2,5,2,11,2,3,6,6,4,11,11,2,3,3,3,3,7,2,17,5,6,3,2,4,8,2,6,12,3,5,9,11,2,8,3,5,6,3,3,2,3,1,3,2,6,1,14,4,19,3,12,2,11,2,5,2,3,6,2,5,3,3,4,6,3,4,3,5,2,23,2,2,12,13,2,3,3,5,0,3,3,2,11,3,19,2,3,1,2,4,7,10,13,3,2,2,3,6,1,10,3,1,0,3,1,3,2,4,4,3,5,2,3,1,3,2,3,6,3,1,0,5,7,5,3,9,2,7,1,12,3,14,0,7,4,20,2,3,8,2,2,15,19,1,32,5,5,6,2,3,18,3,4,6,5,1,13,2,2,11,2,3,7,6,3,3,2,2,8,6,1,3,7,1,29,2,3,11,5,13,6,2,3,3,3,3,3,3,8,1,2,2,2,11,3,1,2,5,1,2,5,0,6,14,4,3,7,6,5,16,6,2,12,3,5,2,1,2,6,9,2,6,6,3,4,0,2,4,8,5,6,4,13,3,15,2,10,3,6,1,2,2,5,1,3,3,2,5,3,23,17,2,3,23,3,8,3,6,12,7,2,2,5,6,7,5,5,3,2,3,3,11,3,37,2,6,12,29,6,4,11,3,3,7,1,7,7,3,20,3,4,16,2,4,6,3,1,6,2,2,3,5,17,3,5,2,13,2,3,1,5,1,7,13,3,16,6,1,6,11,7,2,13,2,6,10,3,13,3,4,0,3,3,2,3,6,0,3,1,5,11,4,1,3,1,4,6,2,6,3,3,2,2,3,1,2,6,7,5,5,6,3,5,4,2,2,2,3,3,0,5,2,6,2,7,0,13,4,16,2,4,3,5,5,5,6,4,4,3,6,0,3,6,2,6,4,5,6,2,2,5,7,10,3,4,10,2,3,7,3,12,9,3,6,1,2,2,8,10,2,3,7,1,3,6,3,3,3,3,2,2,2,0,3,10,6,7,2,5,2,3,7,5,1,7,2,5,17,2,6,6,2,3,12,2,2,12,5,13,6,3,1,4,5,2,5,7,1,2,2,2,8,2,2,0,2,3,7,14,7,7,7,1,10,2,2,3,3,3,2,2,2,4,13,3,2,2,4,7,2,2,8,3,3,0,23,1,20,2,5,2,11,2,3,2,3,6,2,2,8,2,2,7,3,3,0,7,5,4,17,3,8,19,1,18,6,4,0,2,3,8,2,4,7,2,3,3,2,3,7,2,3,6,3,1,2,5,3,9,6,3,7,5,1,1,2,5,2,6,2,10,2,4,6,7,1,0,2,3,7,3,1,5,5,5,18,3,5,1,2,2,6,6,4,2,11,4,3,2,4,3,2,4,1,2,3,4,7,2,4,2,4,10,11,4,6,2,2,2,5,1,6,3,4,1,3,1,5,2,3,20,6,9,0,3,1,0,13,2,14,3,9,5,3,1,1,5,9,3,2,2,12,11,8,6,6,3,6,2,4,20,19,2,22,2,6,7,2,2,2,13,2,8,2,3,12,3,1,2,3,8,4,13,2,3,2,3,9,3,4,4,5,1,2,2,6,12,2,2,8,13,4,0,2,5,4,11,4,30,5,2,2,3,3,4,7,2,6,2,2,9,2,2,6,5,1,3,2,3,2,7,5,3,5,9,14,3,3,3,2,4,0,11,4,12,3,1,2,13,5,24,2,2,3,3,1,2,3,1,7,19,2,10,2,7,0,11,4,0,2,4,8,3,13,0,2,2,8,3,1,9,7,4,6,6,7,7,3,4,8,2,3,3,6,1,4,2,4,11,2,3,7,2,2,7,11,5,3,10,2,8,2,2,3,12,4,3,3,5,4,3,3,4,2,4,6,3,3,6,2,4,6,5,1,5,3,3,3,7,2,2,6,2,19,2,2,8,10,5,16,2,3,2,2,3,8,3,3,4,5,1,3,6,2,2,2,6,3,13,7,22,2,5,3,3,14,9,5,2,1,6,2,0,2,3,2,29,6,3,5,1,10,3,1,0,2,4,3,2,2,6,5,3,3,3,4,11,2,4,8,5,2,3,3,11,2,2,6,3,3,4,2,5,2,15,2,4,19,11,2,4,3,4,2,6,2,2,3,1,7,7,7,5,5,3,3,6,1,5,3,13,4,3,4,0,2,2,2,2,3,7,3,3,2,5,6,3,2,3,7,2,4,6,11,6,20,2,9,12,5,1,6,2,3,12,3,1,3,3,1,3,5,1,12,3,1,2,2,4,2,2,3,2,11,8,6,7,2,0,5,2,3,3,3,2,2,3,9,5,3,3,2,3,6,3,3,3,2,2,8,5,5,5,5,3,8,2,4,10,3,3,0,7,8,2,2,3,8,2,4,10,2,3,1,5,7,3,7,2,0,3,11,0,10,5,14,3,4,0,11,1,7,3,1,6,3,4,0,2,2,8,5,1,3,3,4,0,7,3,14,2,10,3,3,1,8,7,3,0,2,2,17,2,2,6,3,4,2,11,2,20,2,2,1,2,2,6,3,5,11,2,6,6,5,3,4,12,1,2,2,3,2,7,1,4,2,5,8,3,6,4,2,3,9,2,10,0,19,7,50,2,7,7,10,3,5,3,6,10,2,4,7,2,4,8,13,1,0,2,2,7,2,2,2,7,2,3,11,4,6,2,6,8,2,3,6,2,3,13,3,7,23,2,3,1,6,1,8,11,1,6,5,2,6,2,5,4,14,2,4,5,3,0,2,3,4,2,3,7,3,1,2,2,2,8,5,2,4,6,7,3,2,2,3,3,1,1,5,9,2,2,3,7,5,6,19,2,2,4,13,1,14,3,4,6,2,2,3,2,2,3,3,3,5,5,2,4,5,3,7,3,3,2,2,2,7,11,3,20,2,11,7,15,4,2,2,2,8,3,5,2,5,3,6,2,3,10,2,2,12,7,8,2,7,11,0,2,3,8,2,5,6,3,1,0,5,6,4,14,2,10,2,6,3,10,6,21,2,3,7,2,3,7,3,4,0,3,3,5,6,3,8,2,2,8,3,8,3,5,3,3,5,3,3,2,2,1,23,4,11,7,4,5,2,2,4,7,11,22,2,2,6,11,5,5,11,6,24,6,3,0,2,6,2,5,2,5,6,6,2,3,1,2,2,4,3,13,10,2,3,3,2,7,8,12,5,2,11,17,15,30,3,3,0,3,7,3,7,2,4,2,6,8,2,2,3,3,6,3,7,4,4,2,3,7,6,1,3,3,3,2,5,3,9,2,2,2,3,5,9,7,2,12,2,3,2,6,2,8,2,3,3,6,2,3,2,6,17,19,1,16,2,8,1,5,3,24,5,1,6,2,8,6,6,6,2,2,2,8,2,4,27,3,3,6,2,5,0,5,5,20,2,3,15,7,9,2,5,5,10,2,2,1,3,1,6,2,4,4,3,1,5,6,1,4,2,12,0,5,8,7,2,3,1,5,3,3,11,3,22,10,3,9,13,1,8,2,3,7,3,5,7,3,1,0,14,2,10,3,3,5,5,2,7,2,3,6,3,1,7,2,2,1,2,4,3,11,1,5,2,4,2,3,1,10,3,1,6,2,2,6,3,3,15,6,2,7,6,7,6,2,2,2,2,2,0,2,2,6,2,5,1,6,2,2,2,2,7,3,1,2,2,5,7,13,1,3,2,2,8,3,6,1,12,1,2,2,2,15,2,6,6,3,5,7,5,7,3,2,4,4,7,2,9,21,2,3,3,3,7,7,2,10,3,1,5,2,3,7,3,4,4,6,2,5,3,8,1,2,2,6,2,7,0,2,7,7,7,4,4,2,3,6,2,2,7,5,3,3,7,4,0,3,3,6,5,2,9,6,1,7,3,4,2,2,3,9,5,3,6,2,11,2,7,5,6,5,3,6,2,3,4,2,3,7,2,6,6,7,5,10,11,1,24,2,4,12,5,1,1,3,4,15,5,1,11,3,1,6,3,1,0,5,1,3,2,7,12,2,3,1,3,3,5,5,2,3,11,1,8,3,1,6,5,1,6,2,3,9,2,2,21,3,4,7,3,4,3,31,1,32,3,1,5,2,5,8,6,6,10,7,2,6,6,1,2,5,10,3,3,5,18,3,5,3,3,7,0,5,3,10,2,3,7,2,3,8,2,2,6,3,1,2,2,6,2,17,2,3,3,1,3,3,5,4,5,3,6,2,2,1,5,1,6,5,1,6,2,4,3,2,2,3,3,3,6,2,6,3,2,3,12,5,2,9,3,3,2,2,6,8,5,2,6,6,9,6,5,2,6,3,5,4,2,2,17,6,4,9,6,7,5,2,3,8,2,2,10,5,3,8,5,1,5,2,5,4,3,8,2,5,3,3,5,1,3,11,3,16,6,1,3,2,3,12,3,6,6,2,2,10,3,3,25,7,1,0,3,3,5,5,1,11,2,10,3,3,1,22,2,2,1,2,5,2,2,2,8,11,1,6,5,1,14,5,2,6,2,6,8,3,4,0,7,1,2,3,4,5,5,1,3,2,6,8,2,2,6,6,2,2,2,6,6,7,5,24,2,2,2,10,2,0,5,1,6,3,4,4,3,3,2,14,4,14,17,4,3,2,2,8,5,2,3,2,3,1,2,2,7,19,3,20,10,3,14,11,2,2,2,7,6,2,2,4,7,3,6,5,1,10,5,3,17,2,2,2,2,6,6,3,3,16,13,6,19,6,3,10,3,1,1,6,3,10,11,3,12,2,3,7,17,1,3,2,5,1,2,3,8,3,1,16,2,6,12,13,5,3,3,1,6,6,7,7,3,7,0,2,2,3,3,3,4,5,1,15,11,2,3,2,4,7,7,2,4,2,5,1,3,4,3,5,1,8,2,3,5,2,3,4,7,2,12,6,2,6,2,7,2,14,2,1,3,12,1,11,4,20,2,5,1,2,3,0,5,6,10,5,1,19,2,3,6,2,5,7,7,3,4,7,1,6,3,1,6,13,2,7,5,2,3,3,3,2,2,12,2,11,2,4,2,3,6,2,4,0,2,4,9,5,7,14,2,6,10,2,6,12,2,3,6,2,6,8,5,1,2,2,2,10,5,1,10,6,1,3,6,2,15,2,3,9,14,1,9,3,5,6,2,2,9,2,2,8,5,1,1,11,3,24,2,4,14,2,3,6,3,1,3,2,2,2,5,2,2,3,7,0,3,7,5,2,3,7,3,10,7,2,4,6,2,3,3,2,3,6,13,6,3,5,3,12,2,2,1,5,1,6,3,6,1,3,1,2,3,3,0,3,1,3,5,10,6,3,3,7,5,1,8,2,2,2,10,5,6,2,3,11,3,8,8,3,3,0,5,21,20,2,4,3,2,6,6,2,2,12,2,4,9,2,4,10,5,2,2,2,3,7,7,4,15,3,4,4,3,1,3,2,4,7,13,1,11,19,2,8,3,17,2,5,1,10,2,4,12,2,2,7,5,5,7,2,3,21,7,1,2,3,3,7,7,1,6,3,11,5,7,9,6,3,13,6,2,4,2,3,1,0,5,5,3,2,3,8,6,3,3,2,4,3,10,2,14,2,3,1,11,3,30,3,3,6,2,6,8,5,6,5,2,5,0,3,8,6,2,5,8,7,1,18,10,7,9,5,5,6,3,3,3,2,3,8,5,1,10,2,2,8,3,3,6,11,7,2,2,2,3,5,7,9,2,2,3,2,8,0,6,1,2,2,5,8,3,1,3,5,2,2,2,8,8,3,7,9,7,3,2,7,2,2,3,1,0,3,1,4,5,3,6,7,1,0,2,6,8,10,6,0,3,4,7,5,5,10,3,1,7,11,1,6,2,3,2,2,2,12,3,3,2,5,1,5,3,1,2,7,2,16,11,3,0,2,2,2,7,3,0,2,2,7,5,1,14,2,2,6,6,9,10,13,10,20,2,2,6,7,1,11,2,3,2,2,4,8,7,3,5,7,4,26,3,1,3,2,4,8,3,5,4,13,1,32,2,3,8,3,1,7,5,1,5,2,2,2,3,1,3,11,3,12,3,4,3,2,3,6,3,1,2,2,6,8,2,5,7,3,1,5,2,2,7,6,2,4,3,3,4,2,7,3,6,6,6,3,1,0,2,8,2,3,3,5,2,8,2,3,1,3,2,5,0,3,5,26,7,1,11,5,2,3,3,5,6,5,1,7,3,1,3,5,8,3,7,1,0,2,7,1,3,7,2,3,1,8,5,5,15,2,3,3,3,1,1,2,6,8,2,4,6,3,1,7,2,3,7,22,1,5,2,3,7,2,2,2,3,5,1,7,1,17,3,1,6,2,4,9,6,2,0,2,2,2,5,8,3,2,4,8,2,2,4,22,1,3,11,11,10,10,2,14,2,2,6,2,3,7,3,4,4,3,5,5,10,4,8,13,6,4,3,1,9,5,7,2,3,8,0,2,2,3,2,2,6,5,2,20,3,5,6,3,4,3,2,2,4,5,1,3,13,2,4,11,3,24,6,3,0,5,2,22,5,2,2,13,6,2,5,3,4,2,6,8,7,2,4,7,1,21,6,3,5,3,7,2,2,3,18,3,6,11,2,5,6,5,3,4,6,6,4,2,6,10,2,3,7,2,6,6,2,2,2,5,3,16,2,3,12,2,2,8,3,6,5,2,2,10,7,4,4,3,4,3,5,5,5,2,3,9,26,2,4,2,4,7,10,4,2,7,2,4,17,4,20,2,6,10,2,2,8,6,3,5,6,2,12,6,1,0,5,2,5,2,7,1,3,1,0,5,13,6,7,5,0,3,12,5,2,6,3,5,1,8,13,1,12,5,12,10,17,3,2,2,10,12,3,3,0,7,2,8,7,7,11,7,7,0,3,14,3,2,16,12,5,1,2,7,4,0,2,3,7,19,1,0,17,10,3,2,2,6,3,3,2,2,3,13,3,4,14,6,1,5,5,1,5,2,3,1,11,4,7,3,12,7,3,3,5,5,1,8,2,2,12,2,2,3,3,4,7,3,3,2,5,1,9,3,3,2,3,10,4,3,8,5,5,2,3,2,5,2,2,3,2,7,1,4,5,1,14,7,17,13,2,11,10,3,1,2,5,3,15,6,1,5,2,9,4,6,1,2,2,3,4,3,5,3,2,2,9,2,6,8,2,3,7,3,1,3,2,2,6,5,2,9,2,3,10,3,1,4,13,4,0,3,3,6,5,2,2,5,5,6,3,4,7,2,3,9,2,2,2,19,2,2,2,2,8,5,2,12,7,1,16,19,3,20,3,4,6,3,5,1,2,2,8,2,2,7,3,1,2,2,4,8,7,2,2,2,3,8,2,3,3,3,1,4,11,3,14,2,2,8,3,1,3,2,3,1,2,7,6,3,3,6,2,3,2,6,1,7,5,3,15,2,2,2,2,2,10,7,4,2,2,11,8,6,7,3,2,6,8,15,2,6,5,1,3,3,1,2,2,4,2,2,2,11,3,3,9,11,5,3,3,1,4,5,2,7,2,6,12,2,2,4,2,2,0,5,2,6,2,2,4,5,1,6,2,2,7,2,4,1,2,6,9,11,4,3,2,5,8,2,6,7,2,5,2,3,3,3,2,4,6,2,6,8,5,13,3,2,3,19,13,5,3,5,1,5,11,1,7,2,2,8,3,1,4,5,2,1,2,7,3,3,10,5,6,1,11,6,1,7,3,6,2,5,12,3,3,1,3,2,5,8,22,4,12,14,6,6,10,2,10,3,7,3,2,2,8,7,1,4,3,4,6,11,6,0,2,6,9,3,5,6,2,4,9,2,2,2,2,3,4,3,4,3,13,3,3,3,11,3,3,8,14,2,6,7,11,3,16,3,4,5,2,5,9,2,2,7,3,1,0,2,4,6,3,3,4,5,2,23,2,5,4,3,1,6,2,2,2,3,8,5,2,2,2,10,3,4,2,6,9,2,2,6,2,2,11,3,4,0,2,2,8,5,1,6,2,2,4,3,3,1,3,1,8,2,4,10,13,4,2,7,1,2,3,10,7,5,7,3,7,1,0,2,5,7,13,2,4,2,3,7,2,5,7,6,2,2,5,2,2,3,1,25,7,7,10,3,15,2,5,2,2,2,2,3,2,2,0,3,4,3,2,2,2,6,12,4,2,3,16,2,5,8,13,4,5,13,1,22,2,2,0,5,1,5,2,2,7,2,6,12,2,5,20,2,7,2,5,1,15,2,2,2,2,5,2,3,3,6,2,11,2,3,6,6,5,5,7,17,3,20,2,2,6,10,2,7,2,2,2,13,1,9,3,4,6,7,1,4,3,7,4,7,1,0,5,2,3,2,7,3,6,3,3,11,2,3,2,10,3,2,3,7,2,9,3,3,5,4,7,1,2,17,1,12,2,2,6,7,2,11,6,1,5,5,2,6,2,2,4,2,5,2,10,4,2,2,3,7,3,10,6,11,6,3,7,3,16,2,6,3,3,1,0,5,10,6,3,1,3,6,1,3,5,9,17,2,2,3,2,9,0,2,5,12,2,3,1,5,2,3,2,3,7,13,7,2,3,9,2,21,2,6,10,5,21,3,6,6,2,5,33,3,3,0,11,4,8,5,1,6,3,4,7,2,6,12,3,4,4,7,2,2,2,2,6,5,1,7,2,3,1,2,5,8,2,6,6,3,5,5,11,3,12,2,2,6,3,5,3,3,1,3,3,4,2,2,3,7,2,4,8,5,8,6,3,3,15,2,2,2,2,9,3,2,3,14,5,6,11,2,2,6,3,3,3,5,7,14,5,2,7,11,11,4,3,6,0,2,3,7,2,5,3,2,3,16,6,2,4,3,6,6,2,5,2,2,5,10,13,1,14,2,3,7,5,2,10,2,3,7,7,7,0,5,6,14,3,6,4,3,3,2,2,2,3,2,10,8,7,1,30,2,5,6,11,1,3,2,3,6,3,1,0,10,2,16,3,7,5,2,3,4,3,3,0,3,5,6,5,2,6,2,4,7,3,1,12,2,4,6,2,2,13,3,4,5,5,1,6,2,2,10,7,13,5,7,12,21,2,3,8,2,6,12,2,6,6,2,3,1,3,3,3,3,5,2,2,3,12,17,2,7,2,5,12,15,1,20,2,2,7,10,2,5,2,4,6,3,3,2,5,3,2,2,2,4,2,2,8,10,2,6,7,1,0,11,2,5,3,4,2,2,6,7,11,6,5,13,2,18,2,7,7,3,4,4,3,6,11,2,3,2,2,6,8,7,9,12,10,2,15,3,1,2,7,2,12,2,3,3,3,6,4,13,3,7,5,5,6,10,2,6,5,3,5,6,3,3,6,7,7,5,1,11,23,9,27,2,3,3,2,2,8,2,4,2,7,1,2,2,4,5,2,2,13,7,10,4,7,2,0,6,8,4,5,2,6,3,5,0,2,9,12,2,5,4,2,4,10,31,1,4,5,2,10,2,3,9,2,7,0,6,1,0,6,1,14,7,1,0,7,4,7,7,9,12,2,3,1,2,5,6,3,1,4,3,1,2,2,2,2,6,1,2,5,2,3,5,1,7,3,8,2,5,2,7,3,4,2,2,2,4,3,1,4,5,2,6,3,4,6,2,2,2,3,1,5,2,4,10,11,2,11,3,3,5,5,7,3,7,1,24,6,2,6,11,1,3,6,1,5,10,5,8,3,3,3,11,2,2,3,9,0,5,1,3,14,2,10,2,9,7,11,4,17,2,2,4,2,6,7,2,9,4,2,4,12,2,4,10,2,3,9,6,4,22,7,1,5,2,2,0,3,6,4,2,3,14,2,4,12,10,2,3,3,1,1,2,6,1,5,2,2,2,3,6,2,6,6,2,4,8,13,5,12,2,3,7,2,3,7,3,1,3,2,11,2,6,2,1,7,4,5,5,1,7,5,6,3,2,3,4,6,1,2,2,2,2,2,3,1,5,1,20,2,4,6,3,14,2,15,1,20,2,3,1,3,6,9,12,5,7,5,5,7,2,4,1,6,7,0,2,6,10,5,3,3,2,4,6,15,3,16,3,1,3,2,8,0,6,2,4,2,6,6,5,3,15,2,3,1,7,5,0,2,2,1,5,1,6,5,2,9,3,3,2,3,3,7,2,4,2,2,5,8,6,2,3,2,2,10,7,4,21,3,5,3,2,2,12,2,3,7,2,6,17,3,5,11,6,1,0,2,2,7,7,1,0,2,14,5,6,3,0,2,4,8,2,4,9,3,3,3,3,6,6,3,7,3,3,5,13,3,3,5,2,2,6,5,2,6,2,2,4,3,8,1,5,1,6,2,2,2,3,11,4,2,5,3,2,2,7,3,6,3,7,2,3,2,2,11,2,6,9,3,3,4,5,2,0,13,4,2,5,3,10,6,2,8,2,2,11,6,9,10,3,1,2,2,2,16,3,1,2,2,6,9,2,2,3,2,2,0,2,5,3,12,4,9,3,8,0,11,1,7,3,4,3,2,2,2,3,1,1,7,4,5,5,2,6,5,2,7,2,3,3,2,4,6,29,3,20,2,2,4,11,4,0,5,3,6,2,7,8,3,1,3,2,9,4,3,3,0,7,1,4,2,3,7,3,3,2,3,9,2,2,3,6,6,1,7,7,2,2,3,3,6,2,4,4,2,6,2,10,4,2,5,3,10,5,2,2,29,1,24,2,6,12,11,11,2,2,10,3,3,18,0,3,1,5,3,6,12,2,3,7,2,4,6,3,1,0,7,3,5,5,3,6,6,1,4,3,8,5,7,11,0,2,4,13,2,6,10,10,5,12,3,7,3,2,2,10,17,1,2,6,1,4,2,5,8,5,8,5,6,4,10,7,1,0,2,3,6,2,4,7,2,3,14,3,8,0,5,1,10,2,7,2,6,1,9,2,6,3,11,4,3,29,1,12,5,5,3,3,1,11,2,5,2,5,3,4,2,3,0,2,6,6,3,1,4,5,5,5,3,1,3,5,3,3,3,1,2,11,3,24,2,6,2,2,2,12,6,1,3,2,2,6,5,5,4,11,3,5,2,2,4,7,2,11,3,6,14,3,12,7,15,3,0,2,12,8,2,8,7,2,3,6,3,1,4,5,7,5,15,1,4,13,5,28,2,2,4,11,13,3,2,5,23,2,6,3,5,2,6,2,3,3,13,15,14,3,1,5,2,2,3,2,4,0,7,1,4,7,3,12,3,4,3,5,7,25,2,3,1,2,4,8,5,7,2,11,3,18,2,4,6,3,1,2,2,3,12,3,4,7,2,6,8,3,1,2,2,16,7,2,6,10,3,1,12,6,3,4,2,20,4,2,2,7,2,6,3,2,5,2,5,3,18,2,9,7,5,2,6,3,17,2,17,1,2,3,3,0,19,1,19,5,3,2,3,1,6,3,1,3,3,3,7,5,3,4,7,2,18,6,2,11,2,2,13,2,2,23,2,4,3,11,11,3,3,3,0,10,7,7,6,1,3,2,6,8,5,1,4,2,3,7,7,4,12,7,1,4,11,2,8,3,4,3,5,11,6,6,1,3,2,2,6,5,1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2,4,3,2,2,32,7,2,3,2,4,17,3,6,7,3,3,2,2,3,7,3,3,16,7,1,12,17,6,17,3,8,5,5,1,3,6,3,3,6,3,6,3,1,4,2,3,2,11,1,7,2,3,8,10,5,6,2,3,1,3,4,2,7,7,2,3,3,8,2,6,10,15,7,3,5,7,19,7,1,6,2,10,0,7,1,10,6,3,3,2,3,7,10,5,0,3,12,1,13,3,7,7,3,26,2,3,1,5,3,6,19,1,26,3,5,5,3,1,7,2,3,4,10,4,0,2,3,7,2,2,12,7,1,2,11,8,5,3,1,0,2,8,4,7,2,0,2,18,2,2,3,7,11,1,3,10,3,10,3,1,2,3,1,2,2,5,6,2,13,2,2,2,6,3,4,7,7,8,10,17,12,20,2,5,12,2,6,2,2,5,1,7,3,17,2,3,16,2,6,3,17,3,20,5,2,3,3,1,0,5,2,3,2,4,8,5,6,10,2,2,11,5,3,6,3,6,3,3,1,2,13,5,23,17,7,14,5,5,9,6,3,0,13,5,0,2,4,6,2,2,3,2,4,8,3,8,7,7,9,6,2,2,9,3,1,11,17,1,18,6,2,0,5,1,20,13,5,34,2,4,2,2,2,2,11,4,5,3,4,4,2,5,10,3,3,1,7,8,0,10,3,15,7,1,3,2,9,1,3,17,0,2,3,4,3,9,2,3,1,10,7,3,0,3,1,4,2,3,3,2,6,4,5,2,2,11,2,12,3,1,2,13,5,2,3,8,4,2,2,14,3,1,2,2,2,7,3,5,4,2,3,3,23,6,3,3,3,2,5,14,9,2,3,9,3,6,5,2,2,1,3,3,2,5,1,3,5,1,0,2,2,7,3,11,4,2,6,10,6,1,5,11,1,0,3,1,3,2,2,14,3,1,3,3,5,4,3,4,6,11,2,4,5,3,6,3,4,3,5,2,11,3,3,10,5,1,3,2,3,9,2,4,9,3,1,6,2,3,7,5,1,10,3,1,3,6,3,4,2,3,6,2,2,3,5,1,3,31,3,24,2,2,3,2,5,7,5,1,18,2,3,12,3,3,7,2,3,2,6,7,7,14,2,19,2,3,2,18,1,0,2,3,4,2,4,9,3,4,0,23,1,7,5,8,6,3,1,2,2,3,8,7,4,5,7,1,2,11,1,24,2,4,8,2,2,0,2,6,14,5,2,4,7,1,17,3,5,6,5,2,10,2,8,9,7,2,0,5,2,3,2,2,8,2,6,8,2,6,3,3,1,2,2,3,6,3,5,2,3,4,3,2,2,2,3,7,4,2,4,4,3,1,6,19,5,0,13,4,4,5,10,6,2,3,11,3,6,7,10,8,0,5,2,6,3,4,4,6,9,0,3,1,7,11,4,2,2,2,3,3,6,0,3,6,0,2,3,3,2,9,9,2,2,6,6,2,3,12,1,6,17,2,3,2,2,6,3,1,16,5,9,3,6,3,2,2,8,3,2,7,3,7,4,5,3,8,0,5,3,15,2,5,9,31,1,24,3,8,3,2,4,2,3,4,4,2,5,1,2,2,7,5,5,6,5,1,3,2,2,4,7,3,4,3,4,3,2,2,4,3,4,3,11,4,14,2,5,1,5,1,6,2,4,6,11,2,22,2,3,2,2,3,7,3,8,3,3,1,4,13,9,14,5,5,6,2,6,8,6,3,3,2,6,8,5,2,8,2,2,12,10,2,12,5,1,6,2,3,8,2,4,8,5,2,3,5,5,3,2,5,2,11,2,10,3,4,6,2,2,7,2,2,8,2,2,11,7,1,16,5,10,2,6,10,4,5,9,1,3,1,4,2,2,1,7,7,17,2,10,4,2,2,8,2,6,8,2,2,0,2,3,8,3,3,0,2,2,12,2,6,9,3,1,4,3,1,5,7,10,4,5,6,23,3,4,4,2,7,4,2,2,6,3,1,4,3,1,2,2,2,7,5,1,14,10,8,0,5,2,3,22,2,22,3,4,7,5,1,4,3,7,12,6,2,3,5,3,7,2,6,13,5,2,6,7,1,0,2,2,6,5,3,6,11,1,20,3,1,5,6,3,7,5,1,5,2,2,2,2,2,8,2,6,7,3,3,2,2,4,8,3,11,1,6,3,15,2,3,4,2,4,12,3,9,4,2,2,7,2,8,5,3,4,3,2,5,3,2,4,8,7,1,2,14,5,1,3,1,3,5,2,6,3,4,8,7,11,24,6,2,7,6,2,4,2,6,2,10,5,12,2,4,3,3,3,7,13,1,2,5,1,3,2,4,9,5,10,1,5,1,5,5,2,3,2,3,13,10,2,13,7,1,0,5,1,2,2,5,6,3,1,11,2,4,2,2,4,4,2,2,2,11,2,8,6,2,0,11,1,0,3,4,0,2,7,6,6,2,8,3,1,7,2,2,8,7,1,16,7,13,3,2,2,3,6,2,11,6,2,2,2,4,2,13,2,4,38,1,20,3,10,1,2,2,1,5,2,6,6,1,6,11,6,5,3,3,2,2,9,4,2,9,4,2,6,2,2,3,12,2,6,8,13,1,0,2,2,7,2,4,7,7,1,4,5,5,16,3,6,6,2,5,12,3,3,3,2,2,13,3,1,4,11,5,12,2,3,2,3,1,2,3,5,2,2,6,9,3,13,7,2,7,1,2,8,4,2,5,3,3,1,12,7,19,5,3,5,6,2,4,10,3,1,0,2,2,8,5,3,8,2,2,7,5,14,6,2,6,8,14,1,10,7,4,3,3,1,0,5,1,12,2,3,3,11,4,2,21,4,8,3,4,3,6,1,0,2,2,6,2,3,1,5,1,5,2,6,8,2,3,12,2,2,2,3,3,2,7,3,4,7,5,0,2,6,9,3,6,0,5,1,5,2,3,6,2,2,4,7,4,15,5,8,16,2,3,8,2,6,2,6,4,0,3,4,3,2,4,2,3,1,3,13,2,3,5,1,3,7,3,0,2,3,6,3,3,3,3,3,2,3,1,4,2,3,7,2,6,7,10,6,0,6,3,6,2,13,0,3,3,2,3,4,0,5,1,23,3,1,5,3,4,6,13,6,14,3,1,9,3,13,6,2,2,3,5,3,5,2,2,1,2,4,2,5,2,32,2,3,7,6,8,3,3,10,3,3,6,4,3,4,2,2,4,3,13,2,11,3,3,3,2,3,15,5,1,3,5,1,3,11,1,33,19,15,4,2,5,5,3,3,4,26,1,0,2,6,8,3,1,0,2,6,8,5,1,3,3,3,2,3,4,0,5,3,4,2,2,6,7,1,2,5,6,10,2,6,6,10,10,12,2,3,7,3,3,17,2,4,3,2,2,8,5,5,9,5,2,8,17,1,26,3,6,14,6,4,7,2,4,8,2,2,7,7,1,12,3,3,0,2,2,8,2,8,6,5,6,8,2,4,8,3,1,3,3,13,7,3,3,4,14,1,12,2,6,9,13,1,2,2,2,1,2,4,6,3,8,3,6,2,2,3,6,1,13,1,13,5,1,1,11,12,6,7,1,3,2,2,3,5,3,10,2,3,6,3,1,7,7,1,13,2,3,7,19,5,3,2,7,7,2,6,6,5,9,3,2,4,0,2,6,8,2,4,7,2,4,2,7,4,5,5,2,15,2,2,10,2,4,3,3,7,3,11,3,20,2,7,3,2,4,2,2,2,12,3,7,6,2,6,8,5,1,7,6,2,2,3,1,0,2,4,8,2,2,8,2,6,8,3,6,5,2,5,15,5,15,4,2,3,3,2,6,6,2,4,14,2,4,10,5,13,10,2,3,7,6,8,3,5,5,6,5,2,11,5,1,2,7,1,0,2,2,1,6,3,11,13,2,4,2,2,2,3,1,9,7,5,16,2,2,6,3,10,0,13,2,28,2,3,7,3,3,6,3,1,3,3,5,0,5,2,6,2,2,6,3,1,4,7,10,7,3,4,5,2,2,1,3,5,11,6,2,3,3,11,4,6,1,19,2,6,8,26,2,8,5,2,6,2,3,8,3,3,2,10,7,3,11,4,3,3,6,6,5,1,10,2,6,8,3,4,2,2,11,8,2,2,12,2,2,1,2,3,8,5,3,5,5,6,5,5,6,7,3,5,6,6,3,3,2,3,7,2,6,8,7,2,5,2,2,4,3,1,0,7,7,14,3,1,4,2,3,8,5,3,2,10,3,2,2,3,8,12,3,5,13,2,0,3,4,3,7,1,2,10,5,0,6,4,0,2,2,8,6,1,8,3,1,1,7,2,4,5,3,2,2,3,15,3,1,1,2,3,1,6,1,3,15,3,0,2,2,2,11,2,5,6,4,12,3,1,0,11,2,24,3,3,0,2,5,8,7,2,4,7,1,0,2,7,4,11,11,3,5,2,10,2,3,7,2,4,6,5,6,14,2,3,7,17,2,7,13,1,14,10,3,11,2,2,3,5,1,3,6,2,4,13,13,6,7,3,17,6,2,4,2,2,12,6,1,7,2,6,19,2,5,2,3,6,0,2,2,2,2,4,5,19,1,5,5,2,15,2,2,6,11,14,2,6,2,10,2,2,3,2,5,7,6,1,3,5,3,3,2,3,6,2,6,6,2,2,3,2,3,4,11,1,2,2,3,13,2,5,9,11,1,2,3,5,4,5,6,15,2,9,3,2,4,7,2,2,12,3,5,7,13,15,0,3,1,11,5,2,6,3,6,6,5,3,7,2,3,7,7,8,4,3,5,14,3,1,4,2,4,8,2,2,6,5,6,18,2,5,7,10,5,6,15,4,7,5,2,3,2,3,1,5,1,1,2,5,2,3,1,14,2,2,1,7,1,20,3,1,7,2,4,3,3,4,14,2,5,3,7,2,4,3,3,4,5,1,7,2,2,3,5,2,5,11,1,10,2,3,2,2,2,6,5,1,6,3,5,6,2,3,8,3,3,5,3,1,11,7,10,0,2,4,6,14,7,7,13,1,6,2,3,7,6,3,2,3,1,4,5,1,6,2,2,7,5,1,8,7,2,2,3,4,5,3,9,4,2,6,8,3,3,4,2,2,10,5,1,8,2,3,9,2,6,8,11,1,7,10,7,6,15,3,32,10,2,2,3,1,1,2,4,2,2,4,6,3,1,7,5,1,2,6,6,7,2,4,7,7,7,10,3,16,4,2,3,7,2,4,6,2,2,1,3,1,5,5,13,10,2,3,12,12,5,3,2,12,2,2,16,2,3,13,5,2,7,1,3,1,2,3,5,5,2,7,2,5,1,5,2,7,8,10,2,5,3,1,3,2,6,7,17,2,30,5,1,11,5,3,16,14,1,2,3,7,3,3,10,1,19,7,22,11,4,6,2,4,5,3,4,7,2,8,12,7,3,3,6,7,4,3,4,1,2,2,7,2,2,3,3,6,2,2,3,3,2,4,0,3,1,4,2,4,6,3,3,4,5,9,11,2,2,4,3,5,6,6,1,7,3,4,6,2,3,8,3,1,0,5,5,2,11,5,14,3,13,4,5,3,12,3,1,10,6,1,2,3,3,7,3,3,6,3,3,10,7,1,16,2,4,0,2,2,4,12,1,5,5,5,12,3,9,5,3,5,4,2,5,6,5,1,6,5,5,7,2,3,19,3,9,5,2,2,4,3,4,2,13,6,11,2,6,6,3,5,6,2,2,6,3,4,4,5,2,4,2,3,7,2,2,2,11,4,16,3,1,5,10,2,4,3,7,0,5,8,2,6,6,4,2,2,9,5,3,9,11,1,24,2,2,8,2,5,3,3,1,3,3,1,7,3,6,17,7,1,6,5,3,12,2,4,10,3,4,6,2,6,9,6,1,0,3,4,5,2,2,1,2,3,4,5,1,6,2,4,8,2,3,3,3,8,3,2,2,7,7,2,10,21,6,8,2,3,1,2,2,6,5,2,6,2,2,3,3,1,6,2,10,3,10,5,21,5,1,2,3,5,4,7,3,0,3,3,7,5,1,14,2,6,8,22,4,8,2,3,20,3,9,1,5,5,6,2,2,7,2,5,6,3,9,2,7,2,2,6,8,7,31,1,2,10,3,8,3,4,0,2,4,2,5,1,5,7,1,0,2,3,22,2,2,10,2,3,10,3,1,2,7,2,8,2,2,8,2,2,3,2,4,6,5,3,8,6,2,10,3,3,2,2,3,4,6,1,7,2,5,10,3,1,7,5,6,14,17,2,12,5,9,14,2,10,20,3,7,6,2,6,2,5,11,3,2,7,21,2,2,2,7,1,3,3,1,2,3,3,3,2,2,7,3,1,0,7,3,4,7,2,0,5,1,6,2,6,2,13,3,26,2,2,3,3,6,3,11,6,2,2,8,0,2,3,8,2,5,8,5,1,6,2,3,8,5,2,0,29,3,36,6,2,5,5,2,4,2,6,3,5,5,3,7,2,0,7,8,6,2,2,4,2,4,17,2,4,6,3,5,0,6,2,0,2,6,8,2,6,12,19,3,6,3,5,3,6,7,2,3,4,5,5,1,3,2,9,3,3,14,0,5,5,2,2,2,4,7,3,4,2,4,14,13,1,7,2,3,8,2,5,6,10,5,6,17,1,4,3,1,5,2,5,7,3,4,1,7,1,3,6,6,0,2,3,7,7,10,5,3,1,2,2,6,1,7,4,14,2,3,6,3,9,3,2,2,0,2,2,6,3,1,2,3,11,0,5,3,9,2,15,12,2,3,2,7,3,10,3,10,4,3,4,1,2,6,17,5,1,2,6,1,4,2,6,8,5,2,6,3,3,2,7,3,3,5,6,3,17,1,17,3,6,9,5,5,2,6,2,2,3,7,11,5,1,15,2,10,11,2,3,8,10,2,12,2,5,3,2,3,7,2,4,6,2,2,8,2,3,6,3,4,2,2,4,10,7,7,3,2,2,3,2,9,8,5,3,6,2,2,2,3,1,4,11,4,5,2,2,3,3,1,5,3,7,2,5,1,14,2,6,6,2,2,2,10,6,5,7,1,1,3,1,9,7,2,0,5,8,23,3,3,3,3,3,2,2,2,7,3,8,2,2,6,8,3,3,3,2,4,6,3,1,11,3,6,7,5,1,9,14,2,8,5,10,2,14,2,24,2,2,4,3,14,0,10,4,2,2,2,7,5,3,3,2,3,8,2,6,10,2,3,6,3,7,3,2,11,0,2,6,8,5,1,6,3,3,7,5,2,10,3,1,2,3,1,1,3,1,6,2,3,4,2,3,0,2,2,8,2,10,4,3,5,7,7,1,6,7,4,0,5,1,5,2,6,6,6,4,0,2,3,2,17,1,3,5,1,10,2,7,7,2,2,8,5,5,16,2,3,8,3,11,1,37,7,36,3,1,2,3,1,0,2,2,12,3,1,6,2,5,6,7,7,0,2,3,4,2,5,6,3,1,2,2,3,7,5,10,3,2,2,4,3,1,0,3,7,5,2,2,6,3,4,2,3,7,4,5,1,2,3,3,7,2,6,6,3,4,6,5,1,6,2,3,11,2,6,12,7,2,3,7,2,16,3,1,4,2,5,3,3,3,0,2,3,9,5,1,7,7,3,17,2,2,7,2,6,10,11,5,3,3,3,0,15,1,6,5,1,14,3,3,2,6,1,27,13,1,6,6,1,9,3,3,2,5,7,6,3,5,0,2,2,3,2,4,6,5,1,11,6,3,3,2,3,2,3,4,2,3,10,3,29,6,4,17,1,18,2,2,6,3,4,4,5,5,6,7,3,4,2,4,10,13,4,6,3,3,4,2,5,6,3,15,1,2,2,3,5,1,8,2,2,6,2,3,7,5,2,12,2,3,9,3,3,5,5,5,13,11,2,14,2,3,4,2,4,4,2,2,2,17,10,3,5,2,15,2,3,7,7,4,6,2,3,8,2,6,7,3,1,4,5,3,3,12,1,8,2,6,3,7,4,3,29,1,2,2,3,8,2,3,1,6,10,5,13,1,7,3,3,5,2,5,6,2,7,0,2,2,12,3,3,3,5,1,0,3,3,0,7,2,4,2,2,7,2,6,6,2,2,1,7,1,14,2,2,7,5,1,6,3,3,0,3,1,5,3,1,11,2,2,3,3,1,3,3,6,0,35,1,20,2,3,3,6,1,7,5,5,10,5,5,12,2,2,6,6,2,3,2,3,8,17,5,6,2,6,3,3,6,2,2,4,10,5,1,5,2,3,16,2,4,2,5,1,2,3,6,9,2,12,2,3,4,9,13,4,14,2,3,1,7,7,3,3,7,6,6,3,3,10,5,2,2,3,6,7,9,5,7,1,0,3,4,6,3,1,0,3,4,2,13,1,14,2,3,7,5,3,0,2,5,8,2,4,4,2,6,3,3,1,0,5,9,1,5,6,10,3,6,3,7,2,22,2,3,1,2,2,10,7,1,2,3,4,7,2,3,8,3,1,3,2,3,18,2,5,10,5,3,3,2,3,7,2,5,6,2,2,8,5,2,3,2,2,10,2,3,7,3,7,6,5,2,12,2,2,8,2,6,6,3,3,5,2,6,15,2,3,3,2,4,2,5,1,9,5,1,6,2,3,3,2,4,2,3,6,10,3,13,13,3,1,6,5,5,6,3,5,7,5,2,6,6,1,16,5,7,5,11,1,11,7,3,0,7,11,14,11,2,3,17,1,20};
uint16_t __nmod_poly_cp_md_coeffs5[] = {11001,11002,10996,11025,11023,10607,11044,11045,9701,11054,11056,10481,11049,11049,5760,11067,11061,6982,11068,11069,7980,11081,11079,10536,11082,11086,10473,11091,11092,7869,11100,11112,7710,11114,11116,7991,11116,11117,10561,11129,11127,9391,11139,11148,5896,11152,11157,10793,11154,11158,9994,11169,11170,7302,11168,11170,9051,11174,11171,6647,11195,11193,6642,11211,11209,9249,11236,11238,6673,11238,11238,5897,11238,11250,5766,11247,11252,9783,11259,11260,10474,11270,11268,9079,11272,11278,7469,11284,11285,6223,11296,11298,6832,11308,11309,11307,11315,11316,11310,11318,11320,5880,11322,11317,8324,11344,11350,8130,11346,11350,11202,11366,11354,10844,11378,11382,9168,11390,11392,7035,11388,11397,9253,11404,11405,11226,11418,11421,11419,11435,11436,7118,11441,11442,8699,11442,11445,7158,11462,11466,9143,11460,11470,6789,11481,11476,7121,11486,11483,11477,11488,11481,8779,11490,11494,9646,11500,11502,7225,11512,11518,7599,11522,11526,8088,11547,11544,11363,11544,11542,6094,11577,11566,8159,11585,11583,10873,11588,11592,9337,11594,11587,9996,11607,11616,6340,11619,11617,10543,11630,11632,8552,11654,11656,6727,11675,11673,10358,11678,11673,8444,11682,11682,7401,11697,11695,5943,11695,11700,6465,11715,11716,9431,11713,11717,10615,11728,11726,7601,11740,11742,11732,11774,11768,8084,11777,11778,11591,11778,11782,10624,11787,11785,9784,11798,11795,11789,11802,11802,11346,11811,11809,6237,11819,11820,7766,11825,11823,8917,11824,11829,11523,11828,11832,9164,11836,11837,9176,11860,11861,11859,11865,11863,7791,11884,11886,10400,11894,11896,8766,11898,11901,11899,11907,11893,7289,11918,11922,6692,11922,11919,7777,11931,11932,7489,11937,11934,11206,11931,11940,6541,11948,11952,8562,11956,11958,6303,11966,11962,8176,11961,11970,8429,11979,11973,7574,11985,11980,10954,11994,12006,10837,12009,12007,9302,12032,12036,7802,12038,12040,8855,12041,12042,9243,12036,12040,8499,12060,12068,10269,12066,12070,8681,12092,12096,6345,12098,12090,9744,12105,12102,11759,12103,12108,8914,12110,12106,6426,12112,12118,8857,12133,12142,10228,12147,12144,10662,12155,12156,9056,12158,12153,6434,12158,12162,8225,12195,12196,7573,12201,12199,6197,12209,12210,7980,12225,12226,6696,12226,12238,11522,12234,12234,7895,12249,12246,6778,12251,12252,7895,12258,12262,8857,12267,12268,6657,12275,12276,6367,12278,12264,9966,12278,12288,10637,12299,12297,11309,12321,12322,7335,12326,12324,8762,12336,12340,11091,12345,12346,10924,12371,12369,11774,12371,12366,9835,12377,12378,12372,12365,12390,10137,12398,12395,12389,12402,12406,9146,12411,12409,6331,12414,12419,11329,12420,12432,7663,12435,12436,10551,12448,12450,11286,12447,12454,10267,12470,12467,10319,12456,12466,8509,12484,12486,6883,12489,12487,10160,12494,12491,8631,12498,12498,10642,12508,12509,8133,12511,12516,10850,12522,12519,10348,12537,12535,8483,12527,12538,12187,12545,12546,11040,12548,12552,9804,12566,12563,12557,12567,12576,10786,12578,12581,7861,12587,12588,12582,12590,12600,8297,12609,12607,8240,12611,12612,6509,12617,12618,9097,12635,12633,9579,12638,12636,11325,12642,12645,10998,12651,12649,7719,12657,12655,9226,12657,12666,8174,12686,12663,10300,12690,12690,7201,12700,12701,12695,12710,12712,11614,12708,12720,11757,12737,12738,7197,12738,12742,9400,12755,12756,10778,12761,12759,12176,12779,12780,7134,12784,12790,12538,12786,12796,9776,12806,12803,12797,12819,12817,8064,12820,12821,12819,12827,12828,12822,12820,12837,12285,12848,12848,10364,12876,12876,12850,12890,12891,12889,12897,12895,11522,12905,12906,10806,12888,12909,11184,12915,12913,10722,12913,12917,12237,12921,12919,9816,12939,12937,6943,12950,12952,6783,12952,12958,12476,12964,12965,12959,12959,12972,8938,12977,12975,12782,12978,12978,8709,12998,12992,8473,12998,13001,12995,13002,13005,13003,13002,13006,11645,13028,13028,8087,13035,13036,10273,13041,13037,10220,13046,13043,13037,13058,13062,6753,13087,13091,12260,13096,13094,9131,13098,13100,12631,13107,13108,10967,13114,13120,13112,13122,13125,11607,13145,13143,10388,13138,13149,8034,13156,13157,7702,13161,13162,10042,13160,13155,9001,13172,13176,12852,13180,13181,9259,13185,13186,11476,13214,13216,8353,13216,13218,9064,13227,13228,12376,13238,13235,13229,13242,13242,9771,13253,13258,7318,13264,13262,12885,13289,13290,9534,13292,13292,10985,13303,13308,10048,13310,13307,10149,13324,13326,12644,13329,13330,13324,13334,13331,11563,13337,13335,11379,13362,13365,10774,13371,13377,13369,13395,13387,8569,13396,13397,13395,13409,13410,12560,13412,13416,9896,13411,13412,11263,13430,13436,13422,13449,13447,13123,13454,13451,13055,13458,13461,7855,13467,13465,12001,13475,13473,8310,13482,13485,13483,13493,13498,11673,13508,13508,12909,13521,13522,10269,13530,13530,13336,13550,13548,9255,13564,13565,10098,13574,13572,11270,13588,13590,7954,13592,13592,8962,13611,13612,9342,13617,13612,12678,13625,13626,13620,13628,13632,8948,13646,13643,13637,13663,13668,8034,13672,13677,12320,13659,13679,12837,13684,13685,13219,13689,13684,7555,13687,13691,12123,13694,13692,12739,13707,13705,10841,1370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4,63372,52720,63387,63385,48122,63388,63389,52937,63395,63396,55543,63402,63402,62501,63417,63418,47019,63419,63417,41070,63436,63438,61658,63441,63439,50612,63458,63462,59293,63465,63466,50599,63470,63468,42553,63484,63486,45109,63491,63492,32266,63496,63498,53027,63518,63520,44157,63522,63526,59118,63530,63531,45853,63539,63537,39262,63556,63557,55017,63572,63576,52829,63585,63583,50506,63587,63585,44259,63592,63598,49293,63594,63598,63244,63604,63605,63603,63609,63606,32024,63614,63612,42887,63627,63628,54409,63642,63642,39696,63642,63646,48666,63657,63655,44961,63665,63663,61260,63660,63669,62157,63686,63683,63677,63676,63690,34653,63692,63694,63686,63700,63702,44331,63703,63708,52134,63706,63715,49694,63721,63726,60312,63734,63729,44762,63738,63738,44314,63758,63755,63749,63771,63772,51531,63779,63777,46335,63788,63792,46437,63793,63798,33492,63801,63802,45662,63806,63804,38517,63820,63821,44743,63810,63836,52266,63824,63840,32205,63851,63852,60444,63854,63856,41700,63858,63860,50800,63894,63899,42432,63905,63903,36755,63900,63912,50745,63926,63928,51391,63947,63945,62108,63974,63966,47618,63995,63996,49095,64002,64005,51492,64011,64012,36728,64017,64015,55357,64028,64032,42155,64035,64033,40137,64060,64062,56576,64062,64066,33568,64070,64078,55613,64089,64090,39373,64107,64108,42240,64121,64122,55300,64134,64150,38195,64148,64148,45494,64155,64153,38351,64164,64169,39100,64185,64183,57561,64187,64188,54808,64214,64216,46207,64218,64221,64219,64219,64230,48608,64235,64236,56727,64264,64270,46350,64250,64278,62098,64281,64279,32361,64299,64297,37355,64297,64300,32487,64306,64315,42640,64324,64326,33104,64331,64329,50093,64371,64368,42537,64379,64377,54656,64396,64397,38922,64398,64401,53529,64430,64428,55938,64432,64437,63003,64449,64447,54312,64451,64449,38959,64481,64479,50586,64482,64486,54347,64497,64495,50377,64508,64512,50578,64550,64548,60008,64564,64566,50465,64574,64571,36260,64577,64573,59371,64588,64590,53938,64598,64595,64589,64574,64596,37869,64611,64612,43964,64615,64620,41431,64622,64626,57281,64628,64632,57835,64659,64657,52413,64657,64662,57699,64665,64663,58548,64662,64674,60594,64691,64692,62227,64706,64704,56549,64715,64713,42839,64742,64746,36222,64761,64759,43934,64779,64776,38678,64778,64782,58349,64790,64787,41440,64809,64810,58749,64814,64811,59280,64836,64848,41497,64851,64849,57996,64864,64870,39297,64874,64876,60577,64873,64878,42037,64881,64890,64217,64899,64897,52960,64912,64917,54303,64914,64914,32920,64924,64925,55506,64934,64932,53518,64948,64950,56365,64956,64968,53294,64995,64993,52445,64998,65001,34388,65009,65007,57311,65025,65021,54894,65027,65028,56829,65030,65028,58622,65048,65050,57093,65058,65061,51223,65068,65070,40238,65082,65086,65070,65097,65090,53861,65099,65097,61904,65104,65110,58892,65116,65114,47853,65121,65119,55674,65126,65120,37272,65139,65136,64516,65145,65146,41370,65162,65165,65163,65169,65167,35802,65171,65172,58034,65177,65175,39472,65178,65181,65179,65201,65202,56555,65211,65209,64642,65236,65234,38859,65252,65252,49206,65265,65266,65260,65267,65265,49182,65284,65286,40493,65291,65289,61269,65307,65308,39470,65321,65322,51095,65322,65320,41871,65348,65352,41358,65355,65356,58240,65369,65370,58383,65378,65379,65373,65390,65386,40335,65404,65405,33781,65408,65412,43090,65416,65418,33267,65418,65420,55880,65431,65435,35512,65442,65445,34701,65438,65445,65435,65472,65467,58767,65490,65490,42170,65508,65518,41499,65504,65518,42121};

uint16_t __nmod_poly_cp_primes6[] = {1,3,7,15,21,27,43,45,51,63,73,81,93,97,111,115,121,141,151,163,165,171,177,181,183,193,195,225,241,253,273,291,295,301,303,307,315,331,345,363,385,391,393,415,421,427,445,447,457,493,501,505,511,531,535,547,553,567,571,573,601,625,633,637,643,655,685,703,735,757,765,801,807,811,823,825,837,841,847,867,877,895,913,921,927,931,955,963,973,987,993,997,1005,1017,1033,1035,1051,1057,1065,1081,1093,1107,1117,1147,1161,1165,1177,1185,1197,1203,1213,1215,1227,1255,1261,1273,1285,1305,1315,1317,1327,1341,1347,1353,1383,1387,1395,1407,1411,1413,1423,1437,1441,1467,1485,1497,1507,1513,1521,1525,1537,1543,1567,1585,1593,1603,1605,1617,1621,1633,1645,1651,1653,1675,1677,1681,1683,1695,1711,1725,1735,1737,1753,1771,1803,1807,1813,1833,1855,1863,1873,1875,1885,1891,1893,1897,1911,1917,1941,1945,1953,1957,1963,1975,1987,1995,2001,2011,2023,2031,2041,2043,2053,2065,2071,2083,2095,2115,2143,2163,2173,2187,2197,2205,2215,2221,2223,2227,2241,2247,2253,2265,2271,2283,2293,2307,2317,2331,2347,2355,2365,2391,2395,2397,2403,2407,2421,2425,2431,2443,2451,2457,2487,2505,2517,2523,2535,2551,2563,2575,2577,2605,2611,2625,2635,2671,2673,2677,2683,2691,2703,2725,2743,2745,2775,2793,2815,2835,2853,2863,2901,2907,2911,2913,2937,2941,2947,2953,2955,2965,2971,2985,2995,3003,3007,3031,3045,3061,3075,3097,3103,3123,3133,3147,3151,3163,3175,3177,3193,3201,3207,3213,3231,3235,3241,3255,3277,3283,3285,3327,3343,3345,3355,3361,3363,3367,3373,3381,3391,3411,3427,3457,3465,3475,3483,3493,3495,3525,3531,3537,3573,3583,3591,3607,3613,3615,3627,3655,3657,3661,3667,3685,3697,3703,3711,3721,3723,3727,3777,3781,3801,3805,3835,3843,3847,3853,3865,3867,3891,3895,3903,3921,3927,3931,3937,3945,3955,3957,3961,3963,4003,4021,4057,4087,4117,4125,4141,4155,4161,4173,4201,4203,4225,4227,4231,4243,4273,4285,4291,4293,4297,4311,4321,4323,4341,4363,4375,4393,4395,4405,4423,4455,4461,4465,4467,4473,4483,4503,4515,4525,4531,4543,4563,4575,4581,4585,4587,4603,4605,4621,4627,4641,4645,4647,4663,4665,4671,4687,4693,4701,4705,4713,4735,4753,4761,4773,4777,4785,4791,4815,4837,4843,4845,4857,4887,4893,4903,4915,4921,4923,4945,4951,4953,4965,4971,4993,5001,5013,5035,5037,5047,5053,5071,5083,5085,5091,5103,5121,5127,5131,5151,5173,5181,5193,5217,5233,5247,5257,5287,5305,5307,5313,5317,5331,5341,5343,5355,5365,5377,5383,5385,5401,5413,5415,5421,5433,5443,5445,5455,5461,5463,5475,5487,5503,5523,5533,5545,5553,5583,5593,5607,5611,5617,5625,5631,5635,5655,5673,5697,5701,5713,5721,5725,5727,5751,5757,5781,5791,5793,5797,5803,5805,5811,5817,5823,5827,5851,5853,5863,5875,5877,5883,5893,5901,5907,5917,5935,5937,5943,5947,5967,5991,6001,6013,6015,6027,6033,6057,6061,6097,6111,6127,6135,6157,6163,6171,6175,6177,6183,6205,6225,6241,6253,6271,6273,6285,6301,6307,6313,6325,6331,6343,6345,6351,6363,6373,6381,6397,6405,6411,6427,6435,6447,6451,6457,6463,6483,6495,6507,6511,6517,6537,6541,6553,6555,6565,6567,6573,6603,6625,6631,6633,6637,6675,6685,6687,6691,6693,6715,6717,6733,6735,6741,6751,6771,6777,6801,6805,6817,6831,6843,6847,6885,6895,6925,6931,6933,6945,6957,6961,6967,6997,7011,7015,7023,7041,7077,7081,7087,7107,7111,7113,7125,7135,7137,7143,7153,7165,7171,7183,7191,7197,7203,7227,7231,7261,7281,7287,7323,7333,7335,7347,7353,7357,7365,7371,7375,7387,7395,7401,7413,7417,7423,7437,7441,7461,7473,7477,7483,7501,7503,7507,7525,7527,7543,7555,7585,7591,7597,7605,7645,7653,7701,7707,7723,7741,7755,7767,7773,7791,7795,7815,7825,7827,7833,7843,7851,7881,7885,7897,7917,7923,7935,7941,7947,7981,7987,7993,8011,8017,8025,8035,8047,8053,8061,8071,8073,8077,8101,8107,8115,8137,8143,8145,8157,8163,8173,8185,8191,8215,8221,8235,8247,8283,8287,8311,8313,8323,8331,8341,8347,8361,8371,8403,8407,8415,8425,8437,8463,8481,8485,8491,8511,8515,8535,8541,8557,8563,8565,8595,8607,8613,8623,8625,8631,8641,8653,8661,8665,8667,8673,8683,8695,8721,8743,8751,8757,8761,8775,8781,8787,8817,8821,8827,8841,8845,8847,8875,8877,8883,8905,8913,8917,8935,8953,8971,8973,8985,8991,8995,9015,9025,9031,9037,9051,9061,9073,9075,9087,9117,9151,9163,9171,9177,9181,9183,9193,9195,9211,9223,9225,9235,9243,9261,9285,9291,9295,9307,9321,9325,9333,9337,9351,9355,9361,9367,9387,9393,9397,9405,9423,9475,9477,9481,9493,9501,9505,9543,9547,9573,9597,9613,9625,9631,9633,9645,9657,9673,9675,9681,9687,9691,9703,9717,9733,9741,9753,9771,9787,9793,9801,9811,9817,9831,9841,9853,9855,9865,9867,9871,9895,9901,9943,9967,9975,9985,9991,9997,10003,10005,10017,10021,10035,10041,10047,10075,10081,10083,10093,10105,10117,10123,10143,10147,10153,10167,10171,10173,10185,10195,10207,10231,10237,10245,10251,10257,10261,10285,10297,10317,10333,10347,10377,10395,10401,10405,10431,10443,10447,10453,10455,10461,10465,10467,10495,10503,10543,10545,10555,10563,10567,10587,10593,10611,10621,10623,10627,10671,10677,10695,10707,10713,10717,10723,10725,10747,10753,10767,10797,10807,10831,10833,10843,10851,10867,10885,10887,10905,10927,10935,10945,10951,10957,10971,10975,10983,11001,11005,11007,11025,11043,11061,11067,11071,11095,11113,11115,11131,11137,11143,11161,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39733,39741,39783,39787,39795,39801,39805,39823,39825,39831,39837,39843,39853,39861,39865,39871,39901,39913,39931,39955,39963,39967,39973,39981,39991,39993,39997,40005,40021,40027,40065,40071,40077,40083,40113,40117,40131,40137,40147,40155,40165,40191,40197,40215,40225,40231,40233,40281,40293,40327,40335,40347,40363,40371,40377,40393,40407,40417,40431,40435,40441,40447,40461,40477,40483,40495,40497,40551,40567,40573,40585,40587,40593,40627,40645,40651,40653,40671,40677,40681,40683,40707,40725,40737,40741,40743,40755,40761,40767,40771,40783,40785,40795,40813,40821,40827,40831,40837,40855,40861,40875,40881,40891,40897,40905,40915,40917,40951,40965,40995,41001,41005,41007,41055,41083,41085,41091,41101,41113,41121,41125,41127,41133,41145,41157,41163,41167,41185,41191,41203,41211,41215,41217,41223,41245,41247,41251,41265,41287,41317,41323,41325,41331,41335,41341,41367,41371,41385,41401,41413,41421,41425,41427,41443,41457,41485,41497,41517,41521,41533,41535,41541,41553,41563,41565,41583,41587,41601,41635,41647,41661,41665,41673,41691,41707,41715,41733,41737,41743,41773,41787,41803,41811,41815,41821,41841,41905,41913,41917,41931,41937,41971,41973,42027,42045,42063,42067,42073,42085,42105,42111,42135,42151,42157,42163,42177,42181,42183,42205,42211,42225,42237,42241,42255,42291,42301,42303,42307,42321,42331,42337,42345,42361,42367,42387,42391,42405,42415,42435,42445,42463,42471,42475,42477,42487,42501,42505,42525,42543,42553,42571,42573,42591,42595,42603,42625,42643,42651,42655,42657,42667,42675,42681,42687,42697,42711,42727,42735,42751,42753,42757,42765,42807,42811,42823,42841,42843,42865,42877,42885,42903,42921,42925,42927,42961,42963,42967,42981,42993,42997,43005,43017,43021,43035,43051,43095,43101,43107,43113,43141,43171,43173,43191,43203,43215,43225,43233,43255,43257,43263,43267,43285,43291,43327,43333,43341,43345,43347,43351,43357,43371,43381,43387,43393,43407,43411,43413,43423,43425,43431,43435,43455,43465,43477,43501,43513,43527,43537,43561,43567,43575,43585,43597,43603,43605,43611,43623,43633,43635,43663,43665,43675,43693,43717,43731,43743,43761,43767,43777,43785,43795,43821,43827,43831,43843,43851,43855,43861,43887,43897,43905,43915,43917,43933,43935,43945,43971,43981,43983,44001,44005,44011,44031,44043,44047,44053,44061,44073,44083,44085,44103,44125,44127,44137,44181,44185,44205,44215,44253,44257,44271,44283,44293,44295,44305,44307,44311,44313,44323,44337,44347,44355,44361,44367,44377,44383,44401,44407,44425,44451,0};
uint8_t __nmod_poly_cp_sm_coeffs6[] = {3,7,2,6,5,11,6,6,5,1,3,0,2,7,2,3,2,10,3,3,3,0,13,11,2,2,3,9,3,2,2,2,3,0,2,3,5,5,2,3,6,0,2,2,10,6,2,7,3,4,3,4,10,0,7,16,3,7,2,4,11,23,2,0,31,4,2,18,3,6,2,0,3,3,2,7,11,18,3,3,3,1,5,11,7,14,13,7,2,1,2,7,2,9,3,3,3,1,2,1,2,6,3,2,5,2,3,2,22,7,2,4,3,0,3,3,2,14,2,10,3,0,3,4,14,20,2,4,2,0,11,3,2,6,17,7,3,2,2,1,22,12,5,12,5,2,2,8,13,3,17,35,2,14,3,1,5,10,2,8,2,6,7,9,3,3,5,6,10,2,2,13,2,2,2,6,2,19,2,8,19,26,2,2,6,2,10,6,3,0,7,6,2,2,3,4,7,0,3,0,2,1,2,2,2,1,5,6,5,10,3,3,3,1,13,14,2,10,2,8,3,2,3,7,3,3,7,6,2,6,6,4,2,3,7,24,2,3,2,3,5,2,5,9,2,2,17,20,6,3,2,11,3,2,3,5,2,2,10,12,7,4,2,6,5,6,2,7,7,12,5,16,2,7,3,2,5,20,2,12,3,6,11,2,5,7,6,10,7,17,2,1,2,10,5,10,2,0,3,2,2,6,2,8,6,2,2,8,2,6,3,6,11,1,3,2,5,5,2,3,14,10,7,10,3,7,2,7,3,7,5,3,2,9,19,42,7,3,3,3,3,0,2,8,2,1,2,7,2,3,3,0,3,2,2,21,2,12,3,2,23,27,2,1,2,7,11,3,2,7,10,0,5,16,2,0,7,2,3,6,3,6,7,8,2,0,3,1,5,5,2,2,7,2,11,10,19,9,2,2,2,0,5,0,2,0,6,12,13,5,3,4,6,3,2,10,5,16,3,3,6,2,11,12,3,3,10,0,2,1,14,0,2,6,2,8,2,8,3,2,3,4,3,2,6,7,2,3,3,6,5,3,2,9,3,0,5,3,2,4,2,2,5,14,3,5,22,0,5,3,2,7,6,2,5,12,2,7,7,5,5,19,3,11,2,7,13,35,2,7,5,4,13,24,2,3,2,8,2,7,3,3,2,6,7,7,7,17,6,3,11,12,17,5,7,6,2,3,7,4,2,3,5,6,5,3,7,0,10,14,2,3,2,18,3,2,10,5,3,4,2,4,7,0,6,0,2,3,5,3,5,3,6,2,2,12,2,8,3,1,7,7,2,2,2,3,2,8,5,3,2,0,11,5,5,16,3,0,5,11,3,4,6,0,3,2,10,6,3,0,3,2,2,3,2,8,14,1,3,10,13,16,22,19,2,3,3,9,2,2,5,5,2,7,5,1,5,8,2,35,2,2,3,1,19,32,6,9,2,2,2,2,3,3,2,6,2,8,10,0,2,3,13,4,5,3,5,2,2,2,11,3,2,8,11,5,10,8,2,9,2,15,2,12,3,4,7,3,3,5,3,2,2,8,5,8,10,0,3,4,5,15,3,10,2,8,2,8,5,3,2,4,6,4,14,7,2,8,13,7,3,3,5,6,6,4,2,2,3,0,7,2,2,8,2,6,3,7,3,5,2,7,2,4,3,1,5,6,2,1,6,7,2,4,2,2,5,12,11,11,3,4,2,2,3,4,2,10,5,5,2,7,3,0,7,9,2,24,10,14,5,10,10,3,3,4,10,1,2,6,2,4,7,4,3,2,3,2,2,6,7,5,3,3,2,2,3,4,2,10,19,32,6,5,3,2,7,6,2,3,2,0,7,3,3,2,6,3,2,6,6,7,2,14,2,1,10,12,2,5,2,1,5,6,7,0,3,4,17,8,14,8,5,5,5,3,2,4,2,3,6,4,23,34,11,5,3,4,5,10,6,11,3,11,7,17,11,14,6,2,2,6,6,0,10,1,5,10,5,3,10,2,13,6,6,5,3,4,3,2,3,2,5,14,17,20,2,10,2,2,3,7,5,15,2,3,2,7,2,8,5,3,2,4,5,4,2,2,6,7,7,13,3,3,7,8,3,2,2,3,5,18,2,6,2,6,22,0,5,15,3,4,3,7,3,6,5,2,3,1,2,7,17,35,2,3,3,3,2,2,3,2,3,2,2,3,3,4,7,6,13,14,3,11,2,0,6,3,2,3,11,16,2,2,6,2,7,2,2,9,11,9,15,6,6,3,11,6,7,6,2,9,3,7,11,22,3,8,3,2,6,7,2,4,3,9,11,12,3,2,2,4,3,2,7,0,11,7,2,6,3,4,5,14,3,12,5,2,3,2,5,1,2,12,5,3,7,0,2,11,2,13,6,6,2,7,5,12,6,4,2,10,2,15,11,8,11,2,2,7,2,8,2,7,2,6,2,10,11,5,2,3,7,4,5,6,6,10,2,4,3,6,3,6,3,0,2,4,6,3,2,8,19,32,5,15,2,0,3,4,3,6,5,2,15,3,2,1,2,6,2,1,17,7,5,12,3,3,2,3,44,13,3,9,2,0,5,11,7,17,2,10,2,3,2,8,3,7,7,5,2,2,11,2,7,0,3,2,2,8,2,3,2,6,2,6,2,6,2,8,2,8,2,8,3,5,2,26,3,1,7,7,2,1,3,3,5,8,5,5,2,7,5,10,2,4,3,0,2,2,2,12,6,2,2,6,2,8,6,4,5,3,7,0,2,1,2,2,2,6,3,17,2,2,2,9,7,4,2,6,3,3,3,3,5,1,5,3,3,0,5,6,7,17,2,9,3,0,3,6,2,12,5,4,6,7,13,6,2,6,2,13,6,7,11,8,2,6,5,6,5,2,2,1,2,8,13,9,3,14,5,14,2,6,3,4,5,8,2,17,5,3,7,17,11,3,7,3,5,14,6,3,3,2,2,8,2,7,11,5,7,0,2,6,2,15,2,16,5,4,2,6,5,25,5,5,2,2,2,8,6,2,3,8,7,0,2,6,2,7,2,8,11,6,2,8,10,9,5,6,2,12,3,9,17,17,2,7,3,0,2,9,7,1,2,4,2,3,2,3,3,2,2,7,2,6,3,3,13,4,2,4,3,2,5,3,2,17,7,4,2,7,2,12,6,6,3,2,2,7,3,4,3,11,5,5,2,9,3,4,2,4,3,6,11,4,5,3,11,16,2,1,2,8,10,21,2,3,3,1,2,10,2,8,3,4,6,8,2,8,2,6,2,0,3,0,2,13,3,7,13,16,2,8,5,3,2,14,2,9,5,6,19,14,2,12,2,4,2,14,2,8,3,4,14,6,14,0,2,9,2,1,2,4,6,0,5,11,13,3,2,3,2,6,3,5,3,3,5,2,5,3,7,0,2,3,2,2,2,4,2,0,5,16,2,9,2,1,5,3,3,3,3,0,2,8,6,10,7,10,2,1,2,14,3,5,6,2,14,3,5,3,2,9,2,0,2,8,2,8,5,3,2,7,13,5,7,0,5,2,3,1,2,8,5,6,6,0,2,2,19,0,2,4,11,9,5,32,7,4,3,4,5,6,3,5,12,3,2,6,5,2,5,10,2,1,2,8,5,23,2,1,5,18,2,7,5,7,2,8,3,0,13,14,2,6,11,5,3,7,2,7,2,10,13,10,3,5,2,7,11,2,3,0,5,3,2,6,2,8,2,3,3,2,2,2,3,5,2,3,5,5,2,7,2,7,10,16,2,1,7,0,3,4,2,5,2,7,11,3,19,18,2,4,2,6,5,7,6,6,3,5,7,4,2,7,5,10,2,1,2,37,3,4,3,2,2,9,3,1,5,3,5,3,17,26,2,6,6,8,3,4,6,7,2,10,3,8,2,4,2,10,3,2,3,3,2,7,2,7,2,6,2,0,3,2,5,5,7,0,2,6,7,10,3,0,2,6,5,23,3,3,2,2,13,16,2,3,2,3,2,6,13,40,3,6,2,7,3,0,5,6,2,11,3,9,3,5,3,9,2,3,3,3,3,7,3,2,5,3,19,3,2,3,19,2,5,3,3,2,3,4,5,2,2,3,2,0,2,6,5,10,2,1,2,2,17,17,5,20,2,3,3,2,2,5,2,12,3,2,2,6,2,2,6,4,2,2,3,0,5,9,2,6,2,12,11,20,2,19,5,4,5,7,2,6,6,8,5,2,10,8,2,7,2,0,3,4,5,1,2,0,2,7,5,12,3,3,10,0,2,3,3,4,2,8,5,7,2,0,11,4,2,6,3,2,5,5,7,2,12,3,11,7,7,0,2,8,7,6,5,6,3,3,17,48,2,8,2,6,3,6,2,3,3,5,5,7,6,4,3,5,7,0,2,4,2,7,2,8,2,7,3,4,3,8,5,3,5,0,5,7,11,11,2,0,3,2,2,7,3,6,5,18,11,23,5,5,6,3,3,2,5,2,2,2,2,8,7,11,3,6,5,10,2,8,3,6,17,20,14,2,7,10,2,8,5,7,7,6,6,0,3,5,2,7,3,9,7,4,3,1,2,9,2,3,5,6,2,3,2,8,5,14,2,9,17,20,7,8,2,6,29,2,5,1,5,9,7,2,10,22,2,4,2,7,3,0,13,3,10,4,2,1,3,0,3,7,13,4,2,2,7,10,3,6,2,0,7,0,3,3,2,1,3,0,2,4,7,4,13,4,3,4,3,0,21,12,2,4,6,10,3,2,2,4,2,3,3,2,2,2,3,4,2,19,5,11,2,7,2,9,11,5,2,0,2,19,2,8,2,4,3,2,14,7,3,2,3,7,5,10,3,3,3,9,2,2,3,2,5,4,7,3,2,4,6,5,3,3,3,2,2,7,3,1,7,0,5,10,5,3,2,1,6,3,5,6,2,10,13,0,2,1,2,2,13,6,2,8,10,6,2,8,13,42,3,6,2,8,3,0,5,3,14,8,2,9,14,7,7,12,6,8,2,8,2,2,3,2,2,8,11,16,2,6,5,5,5,10,7,13,2,7,3,6,3,13,5,3,2,2,2,10,14,2,14,9,2,2,11,6,3,2,5,10,3,6,11,7,3,5,3,1,7,0,3,4,7,0,2,3,12,5,2,6,11,16,3,2,3,7,6,8,3,2,5,6,2,0,2,2,11,6,5,6,2,2,2,15,3,2,19,40,2,1,6,7,3,5,6,10,2,11,14,2,2,7,2,8,2,2,5,11,13,0,3,7,2,7,6,10,2,3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,2,3,7,4,3,3,3,4,2,2,5,3,11,6,2,6,10,8,2,11,2,8,2,12,13,10,3,4,2,7,2,10,5,5,2,6,3,4,2,10,5,6,2,9,13,16,2,3,5,3,3,3,7,4,15,3,5,3,13,16,2,6,2,13,3,2,3,0,7,0,6,2,2,3,2,12,2,8,13,7,3,6,5,5,3,7,2,12,6,8,3,2,2,2,2,11,2,7,6,8,3,3,5,15,2,1,2,4,2,6,10,3,3,6,7,5,6,4,2,3,5,0,5,12,3,14,2,12,3,4,7,10,2,6,3,4,2,8,13,4,34,32,2,3,2,8,6,3,2,7,2,3,2,8,6,3,3,0,5,10,2,8,7,5,2,6,5,4,31,26,6,0,5,14,11,5,2,0,7,7,11,22,3,3,3,0,2,9,3,2,3,7,3,2,2,3,2,2,2,2,2,12,2,3,5,16,3,1,26,29,3,6,2,8,2,6,6,3,3,2,14,8,6,12,7,2,3,8,5,14,2,1,6,5,2,10,5,3,7,0,3,0,5,11,2,10,11,2,2,7,6,5,2,2,3,4,14,8,5,8,2,6,2,7,2,3,2,8,3,0,10,10,5,8,3,11,6,5,6,0,2,8,3,3,11,10,2,8,3,5,7,5,6,7,11,7,13,30,2,8,2,3,3,0,5,1,3,2,2,8,5,3,2,14,3,3,2,7,3,2,5,14,2,11,3,0,5,5,5,4,2,7,2,2,3,5,7,4,35,8,6,2,2,2,2,12,3,0,5,10,2,11,11,24,5,10,2,6,3,3,5,0,3,12,22,12,3,5,2,8,5,7,2,18,2,4,5,2,13,8,3,0,6,0,2,2,7,19,3,0,2,8,2,2,2,8,3,2,5,2,14,10,2,2,2,7,11,2,5,6,2,7,15,14,2,7,2,0,11,2,2,4,3,3,5,5,11,3,5,11,13,0,15,13,3,4,7,14,3,2,13,6,2,2,2,17,3,3,2,10,3,0,7,5,5,6,3,0,11,27,6,2,3,3,2,9,2,4,6,7,5,6,2,8,2,4,6,2,7,0,3,5,2,2,5,5,2,3,3,6,2,2,2,4,3,3,2,3,2,2,5,4,7,2,11,20,5,11,5,7,2,9,2,8,5,10,3,7,10,2,2,3,3,3,2,4,11,2,14,20,2,3,5,3,5,6,5,18,3,6,2,10,3,10,2,8,5,12,5,23,2,7,2,8,5,8,2,8,10,0,10,16,2,6,2,6,3,1,2,2,2,8,5,3,2,6,3,4,5,3,7,6,5,10,3,8,3,5,2,0,2,8,2,4,6,2,3,4,10,6,3,3,2,0,3,0,2,3,2,4,5,3,3,3,2,8,5,6,13,28,2,9,2,3,5,2,11,6,7,6,3,4,3,0,3,12,2,1,13,4,2,7,3,6,2,2,11,5,5,10,7,11,5,6,2,4,2,7,3,12,7,2,3,6,3,6,5,8,5,7,2,4,3,7,3,5,3,11,7,26,2,3,3,7,2,1,3,2,3,5,2,6,5,0,43,4,17,9,2,2,2,10,3,3,2,8,3,3,2,8,3,2,14,12,2,3,2,1,5,4,5,10,3,14,2,10,3,2,2,2,2,10,2,7,5,6,2,2,2,2,2,6,5,6,5,0,7,8,5,3,2,6,3,3,3,4,3,11,2,12,2,4,10,6,6,7,3,0,13,16,2,2,3,2,2,3,3,2,26,0,2,2,2,5,3,3,3,6,2,13,6,8,7,17,2,9,3,1,2,7,2,6,2,4,3,3,5,6,3,7,2,6,5,1,5,5,2,3,6,6,3,7,2,6,2,1,5,3,3,11,2,8,5,9,2,3,3,0,11,14,2,6,2,20,3,4,10,0,5,10,3,12,3,7,3,4,6,0,11,7,2,0,2,2,5,6,2,6,10,2,11,2,3,4,5,7,3,0,2,10,5,11,5,6,2,3,2,12,2,3,6,2,11,20,2,8,7,1,2,8,7,5,7,12,3,5,2,7,3,0,2,6,2,7,5,7,5,2,22,26,2,3,2,2,2,12,6,2,2,8,5,2,2,2,3,6,2,2,3,2,2,6,2,1,11,2,2,8,3,0,7,2,2,6,3,5,2,14,2,3,3,2,7,11,5,5,2,10,3,3,3,13,7,25,5,8,2,7,5,3,13,7,2,5,3,3,3,0,10,8,5,15,2,1,5,1,6,2,3,0,6,1,2,7,2,2,3,2,5,2,5,6,7,14,2,1,2,7,2,6,2,10,2,3,3,5,6,6,37,29,2,6,2,7,5,8,2,4,7,4,7,10,2,8,2,7,2,0,3,12,11,12,2,2,3,6,2,6,5,7,5,3,17,16,2,3,3,7,2,8,3,0,5,3,11,9,13,22,3,3,17,8,2,8,2,3,2,6,2,6,6,6,2,8,5,14,13,4,2,2,2,10,7,2,6,2,2,8,23,4,3,6,2,7,5,4,3,4,5,6,2,4,2,8,3,8,10,0,7,8,13,33,5,3,3,0,6,0,2,9,2,4,3,3,5,2,2,8,5,2,2,9,2,6,3,5,2,7,10,12,2,3,3,1,2,1,6,6,3,0,3,2,5,3,2,10,3,7,5,8,2,8,2,6,6,7,2,6,2,7,2,12,2,8,2,4,2,8,3,5,10,6,3,2,7,6,2,11,7,7,2,18,5,15,3,2,2,2,2,9,2,18,7,4,2,0,7,2,17,20,5,3,2,12,7,14,13,6,5,6,2,6,3,2,2,2,5,6,2,6,2,3,3,4,5,8,17,32,2,12,3,0,2,4,2,6,3,0,3,12,2,9,3,6,2,2,2,3,12,2,5,3,11,8,2,4,3,7,10,0,2,8,3,4,3,0,19,2,6,6,3,6,5,5,6,0,2,6,3,2,2,7,3,8,3,4,6,6,11,6,6,4,2,6,3,26,2,6,2,4,2,6,7,12,11,7,3,4,3,7,11,22,10,2,3,0,2,8,2,9,26,22,2,6,2,2,11,3,3,6,2,3,3,2,6,3,2,10,3,0,11,2,13,3,3,3,2,8,3,3,3,0,5,0,5,6,7,0,7,3,3,6,2,7,2,7,5,15,2,4,3,2,2,0,5,8,3,3,2,6,2,8,6,2,3,12,2,4,10,5,3,11,7,6,11,24,2,6,3,1,5,5,2,2,5,10,3,4,5,11,21,2,2,6,3,4,11,3,2,7,3,2,2,12,6,0,2,12,2,7,2,2,3,1,31,30,2,0,2,0,6,3,2,19,2,11,2,2,6,7,10,24,10,2,5,8,2,12,11,27,7,4,5,10,3,0,3,8,2,8,3,0,3,5,2,9,5,7,5,6,13,7,3,6,3,2,13,4,3,0,2,12,5,9,2,6,3,4,2,8,2,2,7,2,5,16,2,14,2,1,5,6,3,2,2,8,2,3,3,3,2,0,2,6,11,3,2,13,6,3,2,13,7,8,2,2,2,6,7,6,6,4,7,20,2,6,18,9,3,3,6,12,3,1,2,10,2,8,5,5,2,4,6,10,2,10,3,1,2,4,17,4,11,20,2,4,5,6,2,12,5,7,3,12,2,7,3,0,3,5,2,1,3,0,5,7,2,9,7,9,2,2,3,3,3,1,2,6,2,2,2,9,7,4,6,9,31,17,3,5,17,7,5,6,2,7,3,2,3,3,2,11,7,3,13,14,2,6,5,3,2,3,7,16,5,5,7,17,6,12,2,2,3,6,17,4,14,16,3,12,2,6,2,2,2,7,2,10,2,8,3,3,2,2,5,6,3,5,7,4,2,8,2,2,2,8,11,18,2,8,2,3,2,7,3,0,2,2,5,9,3,1,5,10,2,6,5,20,3,7,3,2,2,3,2,6,11,2,2,4,2,6,2,8,13,16,5,6,5,4,6,4,2,2,2,3,3,2,2,10,7,12,2,1,2,1,2,10,2,12,2,6,2,6,5,4,5,12,5,6,15,2,3,6,6,2,3,4,7,5,2,6,5,14,11,4,17,22,2,4,2,7,2,7,5,16,2,7,7,3,31,32,5,6,2,8,5,3,3,3,5,5,2,2,2,6,7,2,2,8,3,3,2,1,5,34,2,2,7,16,3,3,2,4,6,0,6,11,11,6,2,3,11,0,2,0,5,10,2,12,3,7,11,8,2,8,2,9,3,0,2,1,2,3,7,9,2,3,3,2,5,6,11,3,3,3,5,10,5,5,7,14,5,18,2,2,3,2,2,12,13,14,3,7,3,0,5,9,2,8,2,6,2,8,2,8,13,5,3,6,2,10,2,8,3,4,5,10,2,4,7,12,5,3,2,4,3,11,5,14,3,4,3,13,2,12,6,7,2,8,11,23,5,6,2,9,2,8,2,14,13,14,3,1,12,3,2,6,3,3,7,10,5,10,6,0,3,2,3,0,3,12,5,3,7,12,5,10,2,2,3,2,2,2,2,12,7,2,3,11,6,5,2,6,10,0,3,3,6,12,14,7,10,0,3,3,3,9,3,3,5,1,3,0,2,2,2,4,13,6,2,3,3,3,6,8,5,5,7,11,5,6,3,4,3,2,10,8,5,16,2,3,3,12,3,6,2,8,7,2,3,0,2,3,3,7,21,8,7,10,5,1,3,0,5,2,3,3,2,1,2,2,2,8,2,8,5,11,6,2,11,23,3,6,2,8,5,8,3,5,3,0,2,2,14,12,2,7,6,16,5,3,3,0,2,11,2,8,3,2,3,2,3,1,7,4,6,3,2,7,5,4,7,0,2,7,6,7,19,2,5,14,2,6,2,8,3,0,2,16,3,0,5,3,6,0,2,8,5,1,7,0,5,2,5,11,6,2,2,2,2,3,6,7,19,14,2,6,2,2,5,14,5,3,7,6,7,10,6,10,2,2,26,14,5,5,3,7,2,6,6,5,5,5,5,3,11,2,3,2,2,0,5,3,3,11,7,2,6,7,2,7,11,5,5,17,7,0,3,6,3,4,3,3,3,9,5,14,2,1,3,2,6,0,2,2,5,12,2,20,7,5,13,3,6,0,2,8,2,6,6,0,2,11,3,15,2,10,2,8,43,3,2,6,2,2,12,0,3,3,7,2,7,0,2,12,3,5,2,1,13,5,3,5,3,5,22,4,3,7,13,2,2,12,11,5,2,8,6,4,2,12,2,6,5,7,5,18,3,2,2,2,2,7,11,7,2,1,5,5,3,3,5,10,7,7,7,13,2,8,3,7,5,8,5,11,2,3,6,3,2,8,5,5,2,8,14,2,2,2,6,6,5,3,2,9,6,10,3,3,2,8,2,13,10,6,2,4,7,8,17,28,3,3,2,9,2,7,2,6,2,7,3,4,5,9,2,3,6,4,2,4,2,7,2,3,10,8,2,3,2,9,5,8,11,22,2,8,2,6,3,5,2,14,17,20,3,2,2,10,3,7,7,0,2,12,3,2,5,6,2,13,2,2,3,3,6,3,6,0,7,0,3,7,5,3,7,22,5,23,2,8,5,2,17,3,2,8,2,2,5,0,10,6,3,0,3,5,3,0,3,6,2,8,5,4,5,6,5,6,2,3,2,8,19,3,5,11,3,4,5,3,2,1,3,2,2,7,23,22,2,7,2,4,2,14,6,7,6,4,2,6,3,0,7,4,3,3,2,7,5,16,2,3,3,2,2,6,5,15,3,6,2,2,11,6,13,15,7,2,2,1,2,6,2,10,5,6,5,7,23,4,2,9,2,8,7,17,2,2,3,4,7,17,2,7,6,8,5,3,2,8,3,6,5,18,3,3,5,2,3,6,2,7,10,19,2,14,2,1,3,0,5,6,2,6,5,3,19,13,23,21,2,1,3,7,7,3,3,4,10,3,2,1,2,10,13,6,5,12,6,8,2,4,5,12,2,0,11,14,5,3,2,1,2,7,7,4,3,2,7,2,2,1,5,3,2,11,14,10,3,6,2,1,5,20,3,7,3,5,2,6,5,18,7,9,3,9,5,19,3,0,2,1,3,3,2,8,7,0,2,9,6,12,3,6,2,4,10,15,10,2,5,4,2,15,7,7,13,14,20,5,2,13,3,2,6,7,3,1,7,3,2,6,13,2,6,4,2,8,19,5,2,3,10,8,3,0,7,0,2,9,2,2,5,15,2,8,6,6,11,10,2,7,3,3,2,11,3,4,2,15,11,12,5,5,6,10,5,7,2,2,2,8,10,20,2,6,3,2,3,4,2,8,14,0,2,6,3,7,3,3,5,3,2,6,15,5,2,0,5,12,2,18,3,17,23,14,3,2,5,9,2,8,5,3,6,10,7,3,3,6,2,4,13,6,11,2,7,1,6,8,5,7,2,22,6,10,2,10,3,4,6,2,2,12,2,6,6,7,6,0,2,6,3,0,2,8,5,8,13,3,13,6,2,8,3,5,5,12,3,3,3,1,3,2,5,8,3,6,5,9,7,17,2,4,6,7,3,6,2,0,11,7,3,7,2,2,3,4,2,2,17,1,3,6,5,16,2,4,5,3,3,12,14,2,5,2,5,6,23,14,2,3,2,10,5,25,2,6,3,3,2,0,6,3,15,15,5,6,11,22,2,12,2,0,6,8,3,4,2,8,3,3,3,0,7,16,7,2,5,8,6,5,2,8,2,0,2,10,5,3,2,3,2,3,3,2,2,2,5,5,3,7,12,0,2,28,2,7,3,2,3,5,2,2,2,10,11,7,7,14,3,3,2,4,6,2,3,0,2,7,2,1,3,0,6,3,3,1,3,6,5,7,3,6,3,0,2,9,2,8,2,12,3,2,6,4,3,8,2,3,19,5,17,38,6,4,2,1,3,23,2,8,11,3,5,17,3,8,3,6,19,20,2,4,11,3,3,0,5,3,2,5,2,6,7,4,2,17,3,14,3,9,14,8,2,2,2,6,2,3,3,2,3,2,2,2,2,0,3,3,5,14,2,9,2,7,5,2,2,8,5,2,2,0,5,7,14,16,2,7,10,7,3,4,3,4,11,5,3,0,5,10,3,7,2,6,11,6,10,12,3,0,5,3,3,3,2,3,3,3,3,4,2,7,5,14,7,24,2,3,15,0,2,8,2,6,10,12,3,2,3,2,17,3,3,5,5,3,3,0,3,3};
uint32_t __nmod_poly_cp_lg_coeffs6[] = 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