flint3-sys 3.6.0

/*
    Copyright (C) 2025 Fredrik Johansson

    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/>.
*/

#include <stdint.h>

#ifdef C
#undef C
#endif
#define C UINT64_C

#define SMALL_ODDPRIME_LIMIT 32768

/* Bit table for 15-bit odd primes */
extern const uint64_t flint_odd_prime_lookup[];

static const unsigned short flint_trial_primes[FLINT_FACTOR_TRIAL_PRIMES] = {
    2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
    41, 43, 47, 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, 211, 223,
    227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281,
    283, 293, 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,
    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, 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, 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, 19087, 19121, 19139, 19141,
    19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259,
    19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391,
    19403, 19417, 19421, 19423, 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469,
    19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571,
    19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717,
    19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841,
    19843, 19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961,
    19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051,
    20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149,
    20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269, 20287,
    20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393,
    20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507, 20509, 20521,
    20533, 20543, 20549, 20551, 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663,
    20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771,
    20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903,
    20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017,
    21019, 21023, 21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143,
    21149, 21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247,
    21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383,
    21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 21493, 21499,
    21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589,
    21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 21673, 21683, 21701, 21713,
    21727, 21737, 21739, 21751, 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821,
    21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943,
    21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 22051, 22063,
    22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153,
    22157, 22159, 22171, 22189, 22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279,
    22283, 22291, 22303, 22307, 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409,
    22433, 22441, 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543,
    22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 22651, 22669,
    22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 22739, 22741, 22751, 22769,
    22777, 22783, 22787, 22807, 22811, 22817, 22853, 22859, 22861, 22871, 22877, 22901,
    22907, 22921, 22937, 22943, 22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021,
    23027, 23029, 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099,
    23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, 23209, 23227,
    23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 23327, 23333, 23339, 23357,
    23369, 23371, 23399, 23417, 23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537,
    23539, 23549, 23557, 23561, 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623,
    23627, 23629, 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743,
    23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831, 23833,
    23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957,
    23971, 23977, 23981, 23993, 24001, 24007, 24019, 24023, 24029, 24043, 24049, 24061,
    24071, 24077, 24083, 24091, 24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137,
    24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281,
    24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, 24419, 24421,
    24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 24527, 24533, 24547, 24551,
    24571, 24593, 24611, 24623, 24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709,
    24733, 24749, 24763, 24767, 24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851,
    24859, 24877, 24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977,
    24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 25111, 25117,
    25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237,
    25243, 25247, 25253, 25261, 25301, 25303, 25307, 25309, 25321, 25339, 25343, 25349,
    25357, 25367, 25373, 25391, 25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463,
    25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603,
    25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693, 25703, 25717,
    25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, 25801, 25819, 25841, 25847,
    25849, 25867, 25873, 25889, 25903, 25913, 25919, 25931, 25933, 25939, 25943, 25951,
    25969, 25981, 25997, 25999, 26003, 26017, 26021, 26029, 26041, 26053, 26083, 26099,
    26107, 26111, 26113, 26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203,
    26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297, 26309, 26317,
    26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431,
    26437, 26449, 26459, 26479, 26489, 26497, 26501, 26513, 26539, 26557, 26561, 26573,
    26591, 26597, 26627, 26633, 26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699,
    26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801,
    26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891, 26893, 26903,
    26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 26993, 27011, 27017, 27031,
    27043, 27059, 27061, 27067, 27073, 27077, 27091, 27103, 27107, 27109, 27127, 27143,
    27179, 27191, 27197, 27211, 27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283,
    27299, 27329, 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449,
    27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, 27581, 27583,
    27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737,
    27739, 27743, 27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793, 27799, 27803,
    27809, 27817, 27823, 27827, 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941,
    27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051,
    28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 28163, 28181,
    28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 28289, 28297, 28307, 28309,
    28319, 28349, 28351, 28387, 28393, 28403, 28409, 28411, 28429, 28433, 28439, 28447,
    28463, 28477, 28493, 28499, 28513, 28517, 28537, 28541, 28547, 28549, 28559, 28571,
    28573, 28579, 28591, 28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649,
    28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729, 28751, 28753,
    28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871,
    28879, 28901, 28909, 28921, 28927, 28933, 28949, 28961, 28979, 29009, 29017, 29021,
    29023, 29027, 29033, 29059, 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147,
    29153, 29167, 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251,
    29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 29383, 29387,
    29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 29453, 29473, 29483, 29501,
    29527, 29531, 29537, 29567, 29569, 29573, 29581, 29587, 29599, 29611, 29629, 29633,
    29641, 29663, 29669, 29671, 29683, 29717, 29723, 29741, 29753, 29759, 29761, 29789,
    29803, 29819, 29833, 29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921,
    29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059, 30071, 30089,
    30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137, 30139, 30161, 30169, 30181,
    30187, 30197, 30203, 30211, 30223, 30241, 30253, 30259, 30269, 30271, 30293, 30307,
    30313, 30319, 30323, 30341, 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449,
    30467, 30469, 30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559,
    30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703,
    30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809, 30817, 30829, 30839,
    30841, 30851, 30853, 30859, 30869, 30871, 30881, 30893, 30911, 30931, 30937, 30941,
    30949, 30971, 30977, 30983, 31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079,
    31081, 31091, 31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183,
    31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259, 31267, 31271,
    31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357, 31379, 31387, 31391, 31393,
    31397, 31469, 31477, 31481, 31489, 31511, 31513, 31517, 31531, 31541, 31543, 31547,
    31567, 31573, 31583, 31601, 31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687,
    31699, 31721, 31723, 31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817,
    31847, 31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, 31981, 31991,
    32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063, 32069, 32077, 32083, 32089,
    32099, 32117, 32119, 32141, 32143, 32159, 32173, 32183, 32189, 32191, 32203, 32213,
    32233, 32237, 32251, 32257, 32261, 32297, 32299, 32303, 32309, 32321, 32323, 32327,
    32341, 32353, 32359, 32363, 32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423,
    32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531, 32533, 32537,
    32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609, 32611, 32621, 32633, 32647,
    32653, 32687, 32693, 32707, 32713, 32717, 32719, 32749, 32771, 32779, 32783, 32789,
    32797, 32801, 32803, 32831, 32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917,
    32933, 32939, 32941, 32957, 32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023,
    33029, 33037, 33049, 33053, 33071, 33073, 33083, 33091, 33107, 33113, 33119, 33149,
    33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211, 33223, 33247, 33287, 33289,
    33301, 33311, 33317, 33329, 33331, 33343, 33347, 33349, 33353, 33359, 33377, 33391,
    33403, 33409, 33413, 33427, 33457, 33461, 33469, 33479, 33487, 33493, 33503, 33521,
    33529, 33533, 33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613,
    33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713, 33721, 33739,
    33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797, 33809, 33811, 33827, 33829,
    33851, 33857, 33863, 33871, 33889, 33893, 33911, 33923, 33931, 33937, 33941, 33961,
    33967, 33997, 34019, 34031, 34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141,
    34147, 34157, 34159, 34171, 34183, 34211, 34213, 34217, 34231, 34253, 34259, 34261,
    34267, 34273, 34283, 34297, 34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361,
    34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457, 34469, 34471, 34483, 34487,
    34499, 34501, 34511, 34513, 34519, 34537, 34543, 34549, 34583, 34589, 34591, 34603,
    34607, 34613, 34631, 34649, 34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721,
    34729, 34739, 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847,
    34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961, 34963, 34981,
    35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083, 35089, 35099, 35107, 35111,
    35117, 35129, 35141, 35149, 35153, 35159, 35171, 35201, 35221, 35227, 35251, 35257,
    35267, 35279, 35281, 35291, 35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381,
    35393, 35401, 35407, 35419, 35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509,
    35521, 35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593, 35597, 35603,
    35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759, 35771, 35797, 35801, 35803,
    35809, 35831, 35837, 35839, 35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923,
    35933, 35951, 35963, 35969, 35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017,
    36037, 36061, 36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161,
    36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, 36293, 36299,
    36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383, 36389, 36433, 36451, 36457,
    36467, 36469, 36473, 36479, 36493, 36497, 36523, 36527, 36529, 36541, 36551, 36559,
    36563, 36571, 36583, 36587, 36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677,
    36683, 36691, 36697, 36709, 36713, 36721, 36739, 36749, 36761, 36767, 36779, 36781,
    36787, 36791, 36793, 36809, 36821, 36833, 36847, 36857, 36871, 36877, 36887, 36899,
    36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947, 36973, 36979, 36997, 37003,
    37013, 37019, 37021, 37039, 37049, 37057, 37061, 37087, 37097, 37117, 37123, 37139,
    37159, 37171, 37181, 37189, 37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277,
    37307, 37309, 37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397,
    37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507, 37511, 37517,
    37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573, 37579, 37589, 37591, 37607,
    37619, 37633, 37643, 37649, 37657, 37663, 37691, 37693, 37699, 37717, 37747, 37781,
    37783, 37799, 37811, 37813, 37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897,
    37907, 37951, 37957, 37963, 37967, 37987, 37991, 37993, 37997, 38011, 38039, 38047,
    38053, 38069, 38083, 38113, 38119, 38149, 38153, 38167, 38177, 38183, 38189, 38197,
    38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281, 38287, 38299, 38303, 38317,
    38321, 38327, 38329, 38333, 38351, 38371, 38377, 38393, 38431, 38447, 38449, 38453,
    38459, 38461, 38501, 38543, 38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611,
    38629, 38639, 38651, 38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713,
    38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821, 38833, 38839,
    38851, 38861, 38867, 38873, 38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959,
    38971, 38977, 38993, 39019, 39023, 39041, 39043, 39047, 39079, 39089, 39097, 39103,
    39107, 39113, 39119, 39133, 39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209,
    39217, 39227, 39229, 39233, 39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323,
    39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419, 39439, 39443,
    39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541, 39551, 39563, 39569, 39581,
    39607, 39619, 39623, 39631, 39659, 39667, 39671, 39679, 39703, 39709, 39719, 39727,
    39733, 39749, 39761, 39769, 39779, 39791, 39799, 39821, 39827, 39829, 39839, 39841,
    39847, 39857, 39863, 39869, 39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971,
    39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039, 40063, 40087, 40093, 40099,
    40111, 40123, 40127, 40129, 40151, 40153, 40163, 40169, 40177, 40189, 40193, 40213,
    40231, 40237, 40241, 40253, 40277, 40283, 40289, 40343, 40351, 40357, 40361, 40387,
    40423, 40427, 40429, 40433, 40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519,
    40529, 40531, 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 40637, 40639,
    40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 40787, 40801, 40813,
    40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, 40879, 40883, 40897, 40903,
    40927, 40933, 40939, 40949, 40961, 40973, 40993, 41011, 41017, 41023, 41039, 41047,
    41051, 41057, 41077, 41081, 41113, 41117, 41131, 41141, 41143, 41149, 41161, 41177,
    41179, 41183, 41189, 41201, 41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257,
    41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387, 41389, 41399,
    41411, 41413, 41443, 41453, 41467, 41479, 41491, 41507, 41513, 41519, 41521, 41539,
    41543, 41549, 41579, 41593, 41597, 41603, 41609, 41611, 41617, 41621, 41627, 41641,
    41647, 41651, 41659, 41669, 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771,
    41777, 41801, 41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 41897,
    41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981, 41983, 41999,
    42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, 42083, 42089, 42101, 42131,
    42139, 42157, 42169, 42179, 42181, 42187, 42193, 42197, 42209, 42221, 42223, 42227,
    42239, 42257, 42281, 42283, 42293, 42299, 42307, 42323, 42331, 42337, 42349, 42359,
    42373, 42379, 42391, 42397, 42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457,
    42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509, 42533, 42557, 42569, 42571,
    42577, 42589, 42611, 42641, 42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701,
    42703, 42709, 42719, 42727, 42737, 42743, 42751, 42767, 42773, 42787, 42793, 42797,
    42821, 42829, 42839, 42841, 42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937,
    42943, 42953, 42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051,
    43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189, 43201, 43207,
    43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, 43321, 43331, 43391, 43397,
    43399, 43403, 43411, 43427, 43441, 43451, 43457, 43481, 43487, 43499, 43517, 43541,
    43543, 43573, 43577, 43579, 43591, 43597, 43607, 43609, 43613, 43627, 43633, 43649,
    43651, 43661, 43669, 43691, 43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783,
    43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891, 43913, 43933, 43943, 43951,
    43961, 43963, 43969, 43973, 43987, 43991, 43997, 44017, 44021, 44027, 44029, 44041,
    44053, 44059, 44071, 44087, 44089, 44101, 44111, 44119, 44123, 44129, 44131, 44159,
    44171, 44179, 44189, 44201, 44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269,
    44273, 44279, 44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449,
    44453, 44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537, 44543, 44549,
    44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, 44647, 44651, 44657, 44683,
    44687, 44699, 44701, 44711, 44729, 44741, 44753, 44771, 44773, 44777, 44789, 44797,
    44809, 44819, 44839, 44843, 44851, 44867, 44879, 44887, 44893, 44909, 44917, 44927,
    44939, 44953, 44959, 44963, 44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077,
    45083, 45119, 45121, 45127, 45131, 45137, 45139, 45161, 45179, 45181, 45191, 45197,
    45233, 45247, 45259, 45263, 45281, 45289, 45293, 45307, 45317, 45319, 45329, 45337,
    45341, 45343, 45361, 45377, 45389, 45403, 45413, 45427, 45433, 45439, 45481, 45491,
    45497, 45503, 45523, 45533, 45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613,
    45631, 45641, 45659, 45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757,
    45763, 45767, 45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869,
    45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979, 45989, 46021, 46027, 46049,
    46051, 46061, 46073, 46091, 46093, 46099, 46103, 46133, 46141, 46147, 46153, 46171,
    46181, 46183, 46187, 46199, 46219, 46229, 46237, 46261, 46271, 46273, 46279, 46301,
    46307, 46309, 46327, 46337, 46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447,
    46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 46523, 46549, 46559, 46567,
    46573, 46589, 46591, 46601, 46619, 46633, 46639, 46643, 46649, 46663, 46679, 46681,
    46687, 46691, 46703, 46723, 46727, 46747, 46751, 46757, 46769, 46771, 46807, 46811,
    46817, 46819, 46829, 46831, 46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933,
    46957, 46993, 46997, 47017, 47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119,
    47123, 47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221, 47237, 47251,
    47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317, 47339, 47351, 47353, 47363,
    47381, 47387, 47389, 47407, 47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501,
    47507, 47513, 47521, 47527, 47533, 47543, 47563, 47569, 47581, 47591, 47599, 47609,
    47623, 47629, 47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717,
    47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 47819, 47837, 47843,
    47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939, 47947, 47951, 47963, 47969,
    47977, 47981, 48017, 48023, 48029, 48049, 48073, 48079, 48091, 48109, 48119, 48121,
    48131, 48157, 48163, 48179, 48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271,
    48281, 48299, 48311, 48313, 48337, 48341, 48353, 48371, 48383, 48397, 48407, 48409,
    48413, 48437, 48449, 48463, 48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527,
    48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611, 48619, 48623, 48647, 48649,
    48661, 48673, 48677, 48679, 48731, 48733, 48751, 48757, 48761, 48767, 48779, 48781,
    48787, 48799, 48809, 48817, 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883,
    48889, 48907, 48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033,
    49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123, 49139, 49157,
    49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211, 49223, 49253, 49261, 49277,
    49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367, 49369, 49391, 49393, 49409,
    49411, 49417, 49429, 49433, 49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529,
    49531, 49537, 49547, 49549, 49559, 49597, 49603, 49613, 49627, 49633, 49639, 49663,
    49667, 49669, 49681, 49697, 49711, 49727, 49739, 49741, 49747, 49757, 49783, 49787,
    49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853, 49871, 49877, 49891, 49919,
    49921, 49927, 49937, 49939, 49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033,
    50047, 50051, 50053, 50069, 50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129,
    50131, 50147, 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273,
    50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377, 50383, 50387,
    50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, 50513, 50527, 50539, 50543,
    50549, 50551, 50581, 50587, 50591, 50593, 50599, 50627, 50647, 50651, 50671, 50683,
    50707, 50723, 50741, 50753, 50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849,
    50857, 50867, 50873, 50891, 50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971,
    50989, 50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109, 51131, 51133,
    51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203, 51217, 51229, 51239, 51241,
    51257, 51263, 51283, 51287, 51307, 51329, 51341, 51343, 51347, 51349, 51361, 51383,
    51407, 51413, 51419, 51421, 51427, 51431, 51437, 51439, 51449, 51461, 51473, 51479,
    51481, 51487, 51503, 51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593,
    51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679, 51683, 51691, 51713,
    51719, 51721, 51749, 51767, 51769, 51787, 51797, 51803, 51817, 51827, 51829, 51839,
    51853, 51859, 51869, 51871, 51893, 51899, 51907, 51913, 51929, 51941, 51949, 51971,
    51973, 51977, 51991, 52009, 52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103,
    52121, 52127, 52147, 52153, 52163, 52177, 52181, 52183, 52189, 52201, 52223, 52237,
    52249, 52253, 52259, 52267, 52289, 52291, 52301, 52313, 52321, 52361, 52363, 52369,
    52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501, 52511, 52517, 52529, 52541,
    52543, 52553, 52561, 52567, 52571, 52579, 52583, 52609, 52627, 52631, 52639, 52667,
    52673, 52691, 52697, 52709, 52711, 52721, 52727, 52733, 52747, 52757, 52769, 52783,
    52807, 52813, 52817, 52837, 52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919,
    52937, 52951, 52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017, 53047, 53051,
    53069, 53077, 53087, 53089, 53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161,
    53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 53267, 53269, 53279, 53281,
    53299, 53309, 53323, 53327, 53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419,
    53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593,
    53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653, 53657, 53681, 53693,
    53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783, 53791, 53813, 53819, 53831,
    53849, 53857, 53861, 53881, 53887, 53891, 53897, 53899, 53917, 53923, 53927, 53939,
    53951, 53959, 53987, 53993, 54001, 54011, 54013, 54037, 54049, 54059, 54083, 54091,
    54101, 54121, 54133, 54139, 54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269,
    54277, 54287, 54293, 54311, 54319, 54323, 54331, 54347, 54361, 54367, 54371, 54377,
    54401, 54403, 54409, 54413, 54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497,
    54499, 54503, 54517, 54521, 54539, 54541, 54547, 54559, 54563, 54577, 54581, 54583,
    54601, 54617, 54623, 54629, 54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721,
    54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829, 54833, 54851, 54869, 54877,
    54881, 54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 54983, 55001, 55009,
    55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103, 55109, 55117, 55127, 55147,
    55163, 55171, 55201, 55207, 55213, 55217, 55219, 55229, 55243, 55249, 55259, 55291,
    55313, 55331, 55333, 55337, 55339, 55343, 55351, 55373, 55381, 55399, 55411, 55439,
    55441, 55457, 55469, 55487, 55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603,
    55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663, 55667, 55673, 55681, 55691,
    55697, 55711, 55717, 55721, 55733, 55763, 55787, 55793, 55799, 55807, 55813, 55817,
    55819, 55823, 55829, 55837, 55843, 55849, 55871, 55889, 55897, 55901, 55903, 55921,
    55927, 55931, 55933, 55949, 55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053,
    56081, 56087, 56093, 56099, 56101, 56113, 56123, 56131, 56149, 56167, 56171, 56179,
    56197, 56207, 56209, 56237, 56239, 56249, 56263, 56267, 56269, 56299, 56311, 56333,
    56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, 56437, 56443, 56453, 56467,
    56473, 56477, 56479, 56489, 56501, 56503, 56509, 56519, 56527, 56531, 56533, 56543,
    56569, 56591, 56597, 56599, 56611, 56629, 56633, 56659, 56663, 56671, 56681, 56687,
    56701, 56711, 56713, 56731, 56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809,
    56813, 56821, 56827, 56843, 56857, 56873, 56891, 56893, 56897, 56909, 56911, 56921,
    56923, 56929, 56941, 56951, 56957, 56963, 56983, 56989, 56993, 56999, 57037, 57041,
    57047, 57059, 57073, 57077, 57089, 57097, 57107, 57119, 57131, 57139, 57143, 57149,
    57163, 57173, 57179, 57191, 57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269,
    57271, 57283, 57287, 57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389,
    57397, 57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527, 57529, 57557, 57559,
    57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653, 57667, 57679, 57689, 57697,
    57709, 57713, 57719, 57727, 57731, 57737, 57751, 57773, 57781, 57787, 57791, 57793,
    57803, 57809, 57829, 57839, 57847, 57853, 57859, 57881, 57899, 57901, 57917, 57923,
    57943, 57947, 57973, 57977, 57991, 58013, 58027, 58031, 58043, 58049, 58057, 58061,
    58067, 58073, 58099, 58109, 58111, 58129, 58147, 58151, 58153, 58169, 58171, 58189,
    58193, 58199, 58207, 58211, 58217, 58229, 58231, 58237, 58243, 58271, 58309, 58313,
    58321, 58337, 58363, 58367, 58369, 58379, 58391, 58393, 58403, 58411, 58417, 58427,
    58439, 58441, 58451, 58453, 58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573,
    58579, 58601, 58603, 58613, 58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711,
    58727, 58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889, 58897, 58901,
    58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967, 58979, 58991, 58997, 59009,
    59011, 59021, 59023, 59029, 59051, 59053, 59063, 59069, 59077, 59083, 59093, 59107,
    59113, 59119, 59123, 59141, 59149, 59159, 59167, 59183, 59197, 59207, 59209, 59219,
    59221, 59233, 59239, 59243, 59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359,
    59369, 59377, 59387, 59393, 59399, 59407, 59417, 59419, 59441, 59443, 59447, 59453,
    59467, 59471, 59473, 59497, 59509, 59513, 59539, 59557, 59561, 59567, 59581, 59611,
    59617, 59621, 59627, 59629, 59651, 59659, 59663, 59669, 59671, 59693, 59699, 59707,
    59723, 59729, 59743, 59747, 59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863,
    59879, 59887, 59921, 59929, 59951, 59957, 59971, 59981, 59999, 60013, 60017, 60029,
    60037, 60041, 60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139,
    60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, 60257, 60259, 60271, 60289,
    60293, 60317, 60331, 60337, 60343, 60353, 60373, 60383, 60397, 60413, 60427, 60443,
    60449, 60457, 60493, 60497, 60509, 60521, 60527, 60539, 60589, 60601, 60607, 60611,
    60617, 60623, 60631, 60637, 60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719,
    60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779, 60793, 60811, 60821, 60859,
    60869, 60887, 60889, 60899, 60901, 60913, 60917, 60919, 60923, 60937, 60943, 60953,
    60961, 61001, 61007, 61027, 61031, 61043, 61051, 61057, 61091, 61099, 61121, 61129,
    61141, 61151, 61153, 61169, 61211, 61223, 61231, 61253, 61261, 61283, 61291, 61297,
    61331, 61333, 61339, 61343, 61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441,
    61463, 61469, 61471, 61483, 61487, 61493, 61507, 61511, 61519, 61543, 61547, 61553,
    61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631, 61637, 61643, 61651, 61657,
    61667, 61673, 61681, 61687, 61703, 61717, 61723, 61729, 61751, 61757, 61781, 61813,
    61819, 61837, 61843, 61861, 61871, 61879, 61909, 61927, 61933, 61949, 61961, 61967,
    61979, 61981, 61987, 61991, 62003, 62011, 62017, 62039, 62047, 62053, 62057, 62071,
    62081, 62099, 62119, 62129, 62131, 62137, 62141, 62143, 62171, 62189, 62191, 62201,
    62207, 62213, 62219, 62233, 62273, 62297, 62299, 62303, 62311, 62323, 62327, 62347,
    62351, 62383, 62401, 62417, 62423, 62459, 62467, 62473, 62477, 62483, 62497, 62501,
    62507, 62533, 62539, 62549, 62563, 62581, 62591, 62597, 62603, 62617, 62627, 62633,
    62639, 62653, 62659, 62683, 62687, 62701, 62723, 62731, 62743, 62753, 62761, 62773,
    62791, 62801, 62819, 62827, 62851, 62861, 62869, 62873, 62897, 62903, 62921, 62927,
    62929, 62939, 62969, 62971, 62981, 62983, 62987, 62989, 63029, 63031, 63059, 63067,
    63073, 63079, 63097, 63103, 63113, 63127, 63131, 63149, 63179, 63197, 63199, 63211,
    63241, 63247, 63277, 63281, 63299, 63311, 63313, 63317, 63331, 63337, 63347, 63353,
    63361, 63367, 63377, 63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463,
    63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541, 63559, 63577, 63587,
    63589, 63599, 63601, 63607, 63611, 63617, 63629, 63647, 63649, 63659, 63667, 63671,
    63689, 63691, 63697, 63703, 63709, 63719, 63727, 63737, 63743, 63761, 63773, 63781,
    63793, 63799, 63803, 63809, 63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907,
    63913, 63929, 63949, 63977, 63997, 64007, 64013, 64019, 64033, 64037, 64063, 64067,
    64081, 64091, 64109, 64123, 64151, 64153, 64157, 64171, 64187, 64189, 64217, 64223,
    64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319, 64327, 64333, 64373, 64381,
    64399, 64403, 64433, 64439, 64451, 64453, 64483, 64489, 64499, 64513, 64553, 64567,
    64577, 64579, 64591, 64601, 64609, 64613, 64621, 64627, 64633, 64661, 64663, 64667,
    64679, 64693, 64709, 64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849,
    64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, 64951, 64969,
    64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, 65071, 65089, 65099, 65101,
    65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171, 65173, 65179, 65183, 65203,
    65213, 65239, 65257, 65267, 65269, 65287, 65293, 65309, 65323, 65327, 65353, 65357,
    65371, 65381, 65393, 65407, 65413, 65419, 65423, 65437, 65447, 65449, 65479, 65497,
    65519, 65521, 
};

#if FLINT_BITS == 64

static const ulong flint_trial_primes_inv1[FLINT_FACTOR_TRIAL_PRIMES] = {
    C(0x0), C(0xaaaaaaaaaaaaaaab), C(0xcccccccccccccccd), C(0x6db6db6db6db6db7), C(0x2e8ba2e8ba2e8ba3), C(0x4ec4ec4ec4ec4ec5),
    C(0xf0f0f0f0f0f0f0f1), C(0x86bca1af286bca1b), C(0xd37a6f4de9bd37a7), C(0x34f72c234f72c235), C(0xef7bdef7bdef7bdf), C(0x14c1bacf914c1bad),
    C(0x8f9c18f9c18f9c19), C(0x82fa0be82fa0be83), C(0x51b3bea3677d46cf), C(0x21cfb2b78c13521d), C(0xcbeea4e1a08ad8f3), C(0x4fbcda3ac10c9715),
    C(0xf0b7672a07a44c6b), C(0x193d4bb7e327a977), C(0x7e3f1f8fc7e3f1f9), C(0x9b8b577e613716af), C(0xa3784a062b2e43db), C(0xf47e8fd1fa3f47e9),
    C(0xa3a0fd5c5f02a3a1), C(0x3a4c0a237c32b16d), C(0xdab7ec1dd3431b57), C(0x77a04c8f8d28ac43), C(0xa6c0964fda6c0965), C(0x90fdbc090fdbc091),
    C(0x7efdfbf7efdfbf7f), C(0x3e88cb3c9484e2b), C(0xe21a291c077975b9), C(0x3aef6ca970586723), C(0xdf5b0f768ce2cabd), C(0x6fe4dfc9bf937f27),
    C(0x5b4fe5e92c0685b5), C(0x1f693a1c451ab30b), C(0x8d07aa27db35a717), C(0x882383b30d516325), C(0xed6866f8d962ae7b), C(0x3454dca410f8ed9d),
    C(0x1d7ca632ee936f3f), C(0x70bf015390948f41), C(0xc96bdb9d3d137e0d), C(0x2697cc8aef46c0f7), C(0xc0e8f2a76e68575b), C(0x687763dfdb43bb1f),
    C(0x1b10ea929ba144cb), C(0x1d10c4c0478bbced), C(0x63fb9aeb1fdcd759), C(0x64afaa4f437b2e0f), C(0xf010fef010fef011), C(0x28cbfbeb9a020a33),
    C(0xff00ff00ff00ff01), C(0xd624fd1470e99cb7), C(0x8fb3ddbd6205b5c5), C(0xd57da36ca27acdef), C(0xee70c03b25e4463d), C(0xc5b1a6b80749cb29),
    C(0x47768073c9b97113), C(0x2591e94884ce32ad), C(0xf02806abc74be1fb), C(0x7ec3e8f3a7198487), C(0x58550f8a39409d09), C(0xec9e48ae6f71de15),
    C(0x2ff3a018bfce8063), C(0x7f9ec3fcf61fe7b1), C(0x89f5abe570e046d3), C(0xda971b23f1545af5), C(0x79d5f00b9a7862a1), C(0x4dba1df32a128a57),
    C(0x87530217b7747d8f), C(0x30baae53bb5e06dd), C(0xee70206c12e9b5b3), C(0xcdde9462ec9dbe7f), C(0xafb64b05ec41cf4d), C(0x2944ff5aec02945),
    C(0x2cb033128382df71), C(0x1ccacc0c84b1c2a9), C(0x19a93db575eb3a0b), C(0xcebeef94fa86fe2d), C(0x6faa77fb3f8df54f), C(0x68a58af00975a751),
    C(0xd56e36d0c3efac07), C(0xd8b44c47a8299b73), C(0x2d9ccaf9ba70e41), C(0x985e1c023d9e879), C(0x2a343316c494d305), C(0x70cb7916ab67652f),
    C(0xd398f132fb10fe5b), C(0x6f2a38a6bf54fa1f), C(0x211df689b98f81d7), C(0xe994983e90f1ec3), C(0xad671e44bed87f3b), C(0xf9623a0516e70fc7),
    C(0x4b7129be9dece355), C(0x190f3b7473f62c39), C(0x63dacc9aad46f9a3), C(0xc1108fda24e8d035), C(0xb77578472319bd8b), C(0x473d20a1c7ed9da5),
    C(0xfbe85af0fea2c8fb), C(0x58a1f7e6ce0f4c09), C(0x1a00e58c544986f3), C(0x7194a17f55a10dc1), C(0x7084944785e33763), C(0xba10679bd84886b1),
    C(0xebe9c6bb31260967), C(0x97a3fe4bd1ff25e9), C(0x6c6388395b84d99f), C(0x8c51da6a1335df6d), C(0x46f3234475d5add9), C(0x905605ca3c619a43),
    C(0xcee8dff304767747), C(0xff99c27f00663d81), C(0xacca407f671ddc2b), C(0xe71298bac1e12337), C(0xfa1e94309cd09045), C(0xbebccb8e91496b9b),
    C(0x312fa30cc7d7b8bd), C(0x6160ff9e9f006161), C(0x6b03673b5e28152d), C(0xfe802ffa00bfe803), C(0xe66fe25c9e907c7b), C(0x3f8b236c76528895),
    C(0xf6f923bf01ce2c0d), C(0x6c3d3d98bed7c42f), C(0x30981efcd4b010e7), C(0x6f691fc81ebbe575), C(0xb10480ddb47b52cb), C(0x74cd59ed64f3f0d7),
    C(0x105cb81316d6c0f), C(0x9be64c6d91c1195d), C(0x71b3f945a27b1f49), C(0x77d80d50e508fd01), C(0xa5eb778e133551cd), C(0x18657d3c2d8a3f1b),
    C(0x2e40e220c34ad735), C(0xa76593c70a714919), C(0x1eef452124eea383), C(0x38206dc242ba771d), C(0x4cd4c35807772287), C(0x83de917d5e69ddf3),
    C(0x882ef0403b4a6c15), C(0xf8fb6c51c606b677), C(0xb4abaac446d3e1fd), C(0xa9f83bbe484a14e9), C(0xbebbc0d1ce874d3), C(0xbd418eaf0473189f),
    C(0x44e3af6f372b7e65), C(0xc87fdace4f9e5d91), C(0xec93479c446bd9bb), C(0xdac4d592e777c647), C(0xa63ea8c8f61f0c23), C(0xe476062ea5cbbb6f),
    C(0xdf68761c69daac27), C(0xb813d737637aa061), C(0xa3a77aac1fb15099), C(0x17f0c3e0712c5825), C(0xfd912a70ff30637b), C(0xfbb3b5dc01131289),
    C(0x856d560a0f5acdf7), C(0x96472f314d3f89e3), C(0xa76f5c7ed2253531), C(0x816eae7c7bf69fe7), C(0xb6a2bea4cfb1781f), C(0xa3900c53318e81ed),
    C(0x60aa7f5d9f148d11), C(0x6be8c0102c7a505d), C(0x8ff3f0ed28728f33), C(0x680e0a87e5ec7155), C(0xbbf70fa49fe829b7), C(0xd69d1e7b6a50ca39),
    C(0x1a1e0f46b6d26aef), C(0x7429f9a7a8251829), C(0xd9c2219d1b863613), C(0x91406c1820d077ad), C(0x521f4ec02e3d2b97), C(0xbb8283b63dc8eba5),
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    C(0x8a24276c6e94e5ef), C(0xedb3a3ff80981e3d), C(0xd118682a74aadea7), C(0x32de011278964ea5), C(0x41f190e4ae1539fb), C(0x6b8648926e2607f3),
    C(0xd7057fe0b9dc5863), C(0x11f9c03fe9c7ffb1), C(0x64472ec9c3b5b29f), C(0xf083d52b77f7e04b), C(0x7b3658ad304e36d9), C(0x399b45a7970c8db3),
    C(0x8051acb942246d2b), C(0x301ee558df6e156f), C(0x1a520d738d7419bd), C(0xc75f29eaba193a61), C(0x34188f1c1b204c89), C(0x2f46a472258119e7),
    C(0xa6f21c0deffc19d7), C(0x78f748aa79c9650f), C(0xc5afff3f81f346f1), C(0xe6dd7d1f7ca2d229), C(0x99da889e8ad29ccf), C(0xa5cf81234c3e981d),
    C(0x931e14ece15f326b), C(0x585c5c2352765e85), C(0xafd626deb715f19f), C(0x166bb5c24f0faf65), C(0xcf19cd3fe46d9691), C(0x5bca970f941f5ed5),
    C(0x433a103a9adc7e4d), C(0x4e8689d8de05abb9), C(0x7af1afc757d60925), C(0xe52dae03a381d47b), C(0x9b2cb42db8d7fb89), C(0xd67e296692adca73),
    C(0x6aabaa8df3b5040d), C(0x10b25903122cb6f7), C(0x2c9c090bd82faae3), C(0xb6cb3c217fcd511f), C(0x59bcf7357541c2ed), C(0xc4069fa382156dc3),
    C(0x5b55fa386052f15d), C(0x8e8d02ab04b81501), C(0x8096dbea32c292b7), C(0xfa2ce30c00a1339), C(0xdc18ea76df968dd1), C(0x6f4fc22b52169309),
    C(0x68bdcaf0cfc84bf), C(0x4ebd8f60fd4d4cd3), C(0xa564951f0b26f8a1), C(0xd03c6d9fb517ee4b), C(0x9ad55e36a190d38f), C(0x7bc5dc5fcfc35481),
    C(0x85dfceade34e554d), C(0x890f30ad5e6bf2b5), C(0x559851fad092b703), C(0xa7a26b859ea07d51), C(0x9aa728dbd32ee207), C(0x3744fdce99dd2441),
    C(0x429e94373572f57d), C(0x35ccf25a4b8a901f), C(0xe6c022fe7a7429e5), C(0xdbe0154a0888c955), C(0x410264c510d93fa3), C(0xc5adb9244f5f0e13),
    C(0x5dd6acd44ec997e1), C(0x7f3c560f6bf7019), C(0xddf7941a86882c85), C(0x2fd361c12917dcb1), C(0x7e1e92535ad047f5), C(0x46e4cc1a581363d9),
    C(0xf6a71bb52335f28f), C(0xff490ce9000e12b3), C(0x8dd91a58140b5725), C(0x6aea054c1e5d5989), C(0x3f18ddc60160833f), C(0xd8f3ca16d99823eb),
    C(0xfa43ccc3808aed79), C(0x1cc861990a09a2f), C(0x13bc1f76dc64c6e7), C(0xbfdec400dc7b4b75), C(0xac1226a3f0e366d7), C(0x49266c81593eab59),
    C(0x323c01218c1a0c3b), C(0xf7d017b353ef5f5d), C(0xe45eca6eade0f0b7), C(0x8e6a7158013fa3f1), C(0xbbfd03a18ce4edf), C(0x8369b8443beb79cf),
    C(0x71a5e561fdc85887), C(0xbdab8951509b5215), C(0xf7a78dfedcaaa2c1), C(0x28754532cb37a7fd), C(0xeb2eb421e4268ae9), C(0xd08c476fe98d7ad3),
    C(0x5e95cd1f67467c6d), C(0xcf3f0ebcdb57d743), C(0xa6070c9a82aaecc9), C(0xef2c6f1ef67b5223), C(0xaec5f83245edf5bd), C(0x814a0df0ae1cf73),
    C(0x5d92e4f3eab8090d), C(0x903a30bf413755e7), C(0xb3497ad4aa60c269), C(0xff4185d525cdbfcb), C(0xd321a1eedff087ed), C(0xdf7f06ee26ac6311),
    C(0x71bb09b861cc965d), C(0x62386b8b98a3e3c7), C(0x117d23f939f11533), C(0x839d7170f4330039), C(0x3e5f06eb208240ef), C(0x11cecd3c3088e29),
    C(0x5b485166bae615e1), C(0x3fbe324d136263f9), C(0x266ccaadaa6368af), C(0xe99b99a0e705034b), C(0x45686a79b7f64d57), C(0x32341c99fa7066bb),
    C(0x85570e2b3b67c0b3), C(0x80eed2741d915181), C(0xf96bc42d461a350b), C(0x424c105737a79c03), C(0x6c2fcc54ec9ca141), C(0xa2c2e95f7aa88b79),
    C(0xf4e9a75c3c82da7d), C(0xa327aa6e4b364d1f), C(0x4dfb1e6dfd20d521), C(0x54bc7b3a13b64211), C(0xa80c140edf41d313), C(0xc7677ea4a3cb9097),
    C(0xfaa4efa1befcb7cf), C(0x507b825e1c874b8d), C(0x79a788af8b75e185), C(0x398c0b9cee200a4b), C(0xedae3a084b8cc543), C(0xb97a3f3d257ff191),
    C(0x3688c483ead8869b), C(0x3db1e7d97fe6e3bd), C(0x8e0117ed44eade93), C(0x4390a40f1b706c5f), C(0x74e86e3fba4e4c25), C(0x1745552d760d577b),
    C(0xd24682fd06b5f8eb), C(0x4799115ccd36b70d), C(0x8ea3db6505f97453), C(0x673910f897939421), C(0x54cc64a78340d859), C(0xd5c02d10e0ff1001),
    C(0xf20af004bb47a7), C(0xa9a0d62a63695235), C(0x37ebfa0d91728bdf), C(0x8b2a44291f084e83), C(0xe39ae4ddd8d256cf), C(0x319ea46ee33ee21d),
    C(0x4dba4d0ec136dc6b), C(0x977996b25a2bb977), C(0x101891834d5026af), C(0xed25f50b1a2b2b57), C(0xaf66116d90383c43), C(0xe5053c77cbdcd091),
    C(0x1a90b1db0367e947), C(0x9c8cce57f7ea79c9), C(0xb957f751f8c22e6f), C(0x4f2f8d91fbc9430b), C(0x3165bfd1761ab399), C(0x452c0158a12df325),
    C(0x363071b8759bd473), C(0xc4c9ca1372a7f3f), C(0x7fca4e352350e0d), C(0x6d6d0b3bd4dbf4e3), C(0x5be9dbffa6b4e75b), C(0x329f07ad5348f69),
    C(0x63c5e5e35d37d4cb), C(0xa2f71f0515bae759), C(0xf00010fffef00011), C(0x9b50282bfd64d0c7), C(0x91791e7945c5acb7), C(0x6d5722e59703d63d),
    C(0xe3187ba9e9c70113), C(0xa40638825a7fd2e1), C(0x2f0533ecb6db9487), C(0xfe3beeb4b5946e15), C(0xc4ff909e414783fd), C(0x33ab6e1a374196dd),
    C(0x8839f14c8c7345b3), C(0x8f97ce7c91f0b945), C(0xd29e5620720d49b), C(0xe1a320c790dc8e2d), C(0x4d0171ac6513054f), C(0xd7f718d18941bc07),
    C(0x96e1af8190acbf7d), C(0xb0a876f5042791d7), C(0xa8928636f79f13e5), C(0xd376fc2f8e577355), C(0x328f0b9b12903c39), C(0xc00c6d3f0bf5bcef),
    C(0x8239679ca36a9813), C(0xbdd635ab499f6035), C(0xc554a688b5384d8b), C(0xe8445a89bd5f5d97), C(0xe27878984deb58fb), C(0x5393d270a94b16f3),
    C(0xaa22b2fa3dd81dc1), C(0x69b6078d272c1967), C(0x11e1b525d8cfe99f), C(0x6eb7588125136f6d), C(0x4083be602d03bdd9), C(0x2afcd84b97208747),
    C(0xcc961dfed2154d81), C(0x75c527f9b36dfb9b), C(0xf43ae62a28b99517), C(0x2a880867de581651), C(0x3db4bcf54a90c7b), C(0x7507db50ef9d7389),
    C(0x4614603807051895), C(0x2d3749c8f037d3f), C(0x1494842d68e3b953), C(0xdd80fd7193f13ae5), C(0xcd225e0f021a7c0f), C(0xe6e3e2bee4d72f49),
    C(0xc647667bae560cff), C(0xcee9d5433feee1cd), C(0x7c942bdc4d77c0a3), C(0xaf0746e3a30cb929), C(0xc7147e34a0cd9cc1), C(0x1de86774f8fa24e9),
    C(0xcb2d10d5e05e04d3), C(0x2e2f42db53de289f), C(0xec6f8915f5a37857), C(0xae53f3a921bc69bb), C(0xfe24ba647541d647), C(0xb6e7711399229c23),
    C(0x391530a2104ccb6f), C(0xee641f238472434f), C(0x5aa831b8e7591c41), C(0xcb09bb9464fa4531), C(0xd37baad01cacafe7), C(0x5102b5904f8c1f33),
    C(0xe9bc13b869cc56ab), C(0x10b1beb092aada39), C(0x14f570d32b4e7ac5), C(0xe4ca831da8b4f61b), C(0x502fe8bbcd6b8fe1), C(0xa32a67bbcf9607ad),
    C(0x71a06f4485c2a83), C(0x2295b1fef9fe8d), C(0x925f992c326a3563), C(0x380ae737d89c68fd), C(0x5f15397c9c212d4b), C(0xb642d575f8be3bdd),
    C(0x8dedbbde375acb7f), C(0x6469ca882930e44d), C(0x9b4704a85cf0d323), C(0x2b058c4247c01fa9), C(0x90a7c24acbef5f0b), C(0xc8603b3fe164ef99),
    C(0xd2d7fe4463eee24f), C(0x8def6f74292ba695), C(0x375c269dfd8a5beb), C(0x4739c6e59cede753), C(0xea28f1a96e97c71f), C(0x58415bcb8f4388e5),
    C(0x99e937a897891dab), C(0xf638dd0e1b942ea3), C(0x1759c248aacf92a7), C(0x9cd5fa2a94e8cee1), C(0x3286b2145aa27719), C(0xb8330f13b9e7751d),
    C(0x4e0ad20602702477), C(0x8c9b2ddf123373b1), C(0xbae6a1c2d0a0344b), C(0x9b4a4917753b8f43), C(0x6afd20e1e115c12b), C(0x6fcc32b5e28e5545),
    C(0x3fbf1bf864c1adbd), C(0x1627746c101b8ea9), C(0x37268620aac03351), C(0x50a36059fd90f807), C(0xacc4ce57c273479), C(0x769374c936a5f12f),
    C(0xef8637d278578331), C(0x20e8da2d4d93fe53), C(0xda5657ca4d8fbc49), C(0x1f00a150496fcd33), C(0xffbe71b9017166cd), C(0x766088b343be97b7),
    C(0xcf9b23bac29365a3), C(0x892edd43658b48c5), C(0x490f7a9575a72c1d), C(0x71dd2d3fc4fe9f87), C(0x21c6d0b14326bddb), C(0xb6e3e3e4eef49d3),
    C(0x96cac903fd62da1), C(0x871cc30bfe19c557), C(0x9c10e4f55daf93c9), C(0xd8d9ef3a9c04c97f), C(0x601460e0f1095fb9), C(0x47190aa52c4de927),
    C(0xa0e8a9c2d34aff93), C(0x6f785f6158addd25), C(0x5d419d1b7e203ee3), C(0x130e19d60ec9175), C(0x3edde7c0a5a8451f), C(0x5dd5313801a701c3),
    C(0x7313a51d38f9c739), C(0xdb360e5630a917ef), C(0x52102471965170a5), C(0x4a856d4dd06f01d1), C(0x8fe98bca88cd6b), C(0x1f5b8a9fd73dbfaf),
    C(0xb93e967cc576b1b1), C(0x2d48838c40b4dfd), C(0x129a3a691b50424b), C(0xdf1a6bf5587b08d9), C(0x875956ec423205bb), C(0x6ddee7ca9054c2c9),
    C(0xa98f9b16a5674881), C(0x88f45e74472f1e37), C(0x5e2d3f9b6fe4a971), C(0xc5298b6c4d4c46b5), C(0x6e54718b60d6645f), C(0x754c129f9b99182d),
    C(0x24e16cf863c4f151), C(0x88746ab676e53573), C(0xf2659d845c887b95), C(0x1863c964b1d4af2f), C(0x8d0e3d6c2d6f785b), C(0x663bdaadc942bd7),
    C(0xd4fc5b9002e778c3), C(0x5758e56074491911), C(0xcf0707410fbf07ff), C(0xda01cc59d0c514cd), C(0x17252abd1273d3a3), C(0x46ca317b7aec8be1),
    C(0xb6ff17e27000f797), C(0x5b60f7b205e417a5), C(0x4990475c1ac49a1d), C(0x3a20e820a413177), C(0x4557a1957efecfe9), C(0xe4912506e581494b),
    C(0x2e8afb03104cf96d), C(0xfac2587f9d97668f), C(0x582d7fe9d88bc891), C(0x6ae0545ba69a6147), C(0x9a547d525c5026b3), C(0xb4e2f12de7174781),
    C(0x63e73342db058a45), C(0xab9a3d1cf29a235f), C(0xbf523f403a6eb61), C(0x15093cba41a34203), C(0x3054db86b682767b), C(0xf2901bdaedef6507),
    C(0x889ca2156874a179), C(0x1e8b20b2a791ace3), C(0x145407a2dae26031), C(0x41fc78bc7d9f7ae7), C(0x7022448f4aa19f75), C(0xeef401e1586c9ad7),
    C(0xbfcc52d55581360f), C(0xfce218dcb70a4949), C(0x67aa0e0c64ce06ff), C(0x37f1e63b556517f1), C(0x12082e57220f9135), C(0x46386499a96c7aad),
    C(0xc47edbba0799bfd1), C(0x792b25c339a20c87), C(0xfbed6e4ba61b77f3), C(0x3f0315d0273896c1), C(0x6634e80486467daf), C(0x9fe800ee2ac9a29f),
    C(0x24099b9d56c16aa1), C(0x7e9e6b7ca46cf865), C(0x7c014c84db5aa791), C(0xce0d96ce8bcfb047), C(0xaa4993ebba8854b5), C(0x1073b027ee16020b),
    C(0xae0c70df9996ba99), C(0xe908d67a5a0b3c89), C(0x597dc6b6dfac9b05), C(0x7908101a0eaf6e59), C(0x5c396d3badc5ab55), C(0xb4e46832549b53b7),
    C(0x91a16320bbbce4c5), C(0x2d9934de4937e01b), C(0x7d0e3671a53909e1), C(0x6f43803ff68891ad), C(0x1af416753879f5bf), C(0xa4a6d13eb4d3a26b),
    C(0xf03d6d1f345a8eb1), C(0x9bc74bef9f8fa5d3), C(0x1fa66cafd8321f65), C(0xc3ee732177b9d4b3), C(0x826160d4dfae2527), C(0xc9703d5b792b9a9),
    C(0x1a4a9ffbc94d5bb5), C(0x8f76f549e2f73003), C(0xdc066de102b33a73), C(0xff1a4745000f5095), C(0xf30a39af35bde569), C(0x232a5c4334b1411f),
    C(0x27ab37cf80c778d7), C(0xe6971088e6aa72e5), C(0x7b94a99a125493ef), C(0xb7cf8a0cd915eca7), C(0xdeb302299588e713), C(0x882efaa320f80ca5),
    C(0x32fb8d94ea3c2bcf), C(0x5b19122f739474bf), C(0x9341700a1fd03e77), C(0xcba2eea77d10b585), C(0x5c0d2fe8a5e9bcdd), C(0xbbc52a8f033b95d5),
    C(0x2ee64cdb5a3bc36f), C(0xfa94010892f25a9b), C(0xd345477f0c666d51), C(0x23c959d1e46bd207), C(0x668faef893894ceb), C(0x41a0a28fb5f6cb0d),
    C(0xf03d2b9c624021cb), C(0xe6d719ba389d8c59), C(0xcf2519476639153b), C(0x7b620cd1380f0401), C(0xe5300b7c1986019), C(0xaf7216d879637987),
    C(0x5a75df907e4913c1), C(0xe26a67c5eeee306b), C(0x826c725200b49aaf), C(0xf6e5c1246c068be9), C(0xf5a2774e037ea7a1), C(0x9f4c584236bb556d),
    C(0x34245dfbeb6a6d65), C(0x5bdd3064d60c08bb), C(0x2aa15f36da7cadc9), C(0xab017e1a02e7eebd), C(0xbf21ca3aa1f24327), C(0x3a4ce70c4cc08993),
    C(0x6749c5f7ba4eb17), C(0x2846a092c349119d), C(0x18ed87542ced220d), C(0xf56b25c9e4e75005), C(0x872586a803d3cbc3), C(0x3143c1978ea1ae33),
    C(0x12b732494e319c5), C(0x9215b1d004de51ef), C(0xa081d8dc67b0f29), C(0x5ff3bd470a2fd983), C(0xc9587f8e40873bd1), C(0x60ea142c22706bb1),
    C(0x28f9512b8f3717fd), C(0x7a54c636e497ce57), C(0xf9d8276d7edd9465), C(0x81b8eb94985b018f), C(0xf42e38743cdd59b3), C(0x583ee3ff8add734d),
    C(0xc1093f4988395227), C(0x39780f6d0eff06a9), C(0x69ebfa5e9b0ede5f), C(0x1bf468e16768f699), C(0x24a5bec0e6cf7007), C(0x2f06269f8b5dac79),
    C(0x99a57f7357d9f7ed), C(0x7efc637b1f5842c3), C(0x1850ddd6f1cde33b), C(0x932fa5bc87da1cab), C(0x11f99952a6b01ecd), C(0x2eafbb48fc67f039),
    C(0x328a5b09c36bb435), C(0x4c48f2c8949a9197), C(0xc0dd5201f58f08cf), C(0xb671904af2de11c1), C(0x243fe10b280b5b63), C(0x1f0bc0f8e6f06a85),
    C(0x7af6229f7ac2cd67), C(0xb018d8789c76dd9f), C(0x648f3b124c85734b), C(0x50f1b03f347c71d9), C(0xeccd60e4809261dd), C(0x979e63ad769530b3),
    C(0xe24c2fd0ec24606f), C(0xad8262e7035fcf9b), C(0xc80ba887f8cdcbd), C(0x40c3505f1497b793), C(0x24906b23bc469d5f), C(0x529d76d39133e07b),
    C(0x62b185fc0d046c95), C(0x11dab6be0270d4e7), C(0xbec4e8997f49b959), C(0x47dd83c374614a3b), C(0x1d8cd1dee3773d5d), C(0x7490606dcaca3eb7),
    C(0x567713070fb3e7c5), C(0xab9827eb65bb35), C(0xf4ffd8df71e9c783), C(0x206774761466a7cf), C(0xa80a1f3c542022f9), C(0x8ba8a6ecb7845185),
    C(0xddc8f2844f4718d3), C(0x662dddc54671a6d), C(0x6f241527d13de191), C(0xf66f2e06311ec07f), C(0x4284f5e223a7214d), C(0xd96b5e11fe393023),
    C(0xcab178561e033f6f), C(0x7d4270b194ac7eb5), C(0x94cbbad3f3afb817), C(0x681d61fc4cbe1499), C(0x9e934ecc8b8b11f7), C(0xfa7728271df59069),
    C(0x202722994c2e0f0f), C(0x58862fdccdf01111), 
};

static const ulong flint_trial_primes_inv2[FLINT_FACTOR_TRIAL_PRIMES] = {
    C(0x7fffffffffffffff), C(0x5555555555555555), C(0x3333333333333333), C(0x2492492492492492), C(0x1745d1745d1745d1), C(0x13b13b13b13b13b1),
    C(0xf0f0f0f0f0f0f0f), C(0xd79435e50d79435), C(0xb21642c8590b216), C(0x8d3dcb08d3dcb08), C(0x842108421084210), C(0x6eb3e45306eb3e4),
    C(0x63e7063e7063e70), C(0x5f417d05f417d05), C(0x572620ae4c415c9), C(0x4d4873ecade304d), C(0x456c797dd49c341), C(0x4325c53ef368eb0),
    C(0x3d226357e16ece5), C(0x39b0ad12073615a), C(0x381c0e070381c0e), C(0x33d91d2a2067b23), C(0x3159721ed7e7534), C(0x2e05c0b81702e05),
    C(0x2a3a0fd5c5f02a3), C(0x288df0cac5b3f5d), C(0x27c45979c95204f), C(0x2647c69456217ec), C(0x2593f69b02593f6), C(0x243f6f0243f6f02),
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    C(0x11b4c658d0e96), C(0x11b3db43833c2), C(0x11b365c2010bb), C(0x11b3176f0cd69), C(0x11b18ff8e18f1), C(0x11b0cc57284ab),
    C(0x11b02fe1f19ea), C(0x11ac37ef54093), C(0x11ab9bcb13432), C(0x11aad8ace997a), C(0x11aa63a2e4b65), C(0x11aa3ca0e655b),
    C(0x11a979a106085), C(0x11a8ddad3aa5f), C(0x11a81acb9ca9f), C(0x11a7a5e5e7d62), C(0x11a731063eb54), C(0x11a6953ac3ecb),
    C(0x11a5d28b84d3e), C(0x11a5ab9daec0a), C(0x11a3ff91bf02b), C(0x11a3d8abf4aea), C(0x11a38ae2629b6), C(0x11a316390db04),
    C(0x11a2061ab75cf), C(0x11a1b861372c1), C(0x11a1918578058), C(0x119fbf6cac9bc), C(0x119ed6845e593), C(0x119e88e6f17b6),
    C(0x119c90a8c1362), C(0x119b33d36abe0), C(0x119ae65601597), C(0x119a721ee2157), C(0x1199630ae6916), C(0x11971e96fc823),
    C(0x1196aa91bfe3b), C(0x11965d3c3f040), C(0x1195e940f8abd), C(0x1195c29935254), C(0x1194198f9a2b0), C(0x11937f145ea05),
    C(0x119331dabafba), C(0x1192be093dcb2), C(0x1192976f6744e), C(0x1190eefee3a5e), C(0x11907b4b3176d), C(0x118fe10f8681a),
    C(0x118eacb7ec59d), C(0x118e3921f9aeb), C(0x118d2b85e07ce), C(0x118cde83ca336), C(0x118c6b059baff), C(0x118b10aeadad1),
    C(0x118a76d21221c), C(0x1189901aec2e3), C(0x11891cc83cede), C(0x11883634a397b), C(0x1186695478cf5), C(0x118429c14c890),
    C(0x1182f70482ab7), C(0x11825db5d9cae), C(0x117fd29c75ba2), C(0x117f3984cb859), C(0x117d94b9a632d), C(0x117d2204545a4),
    C(0x117c167419d59), C(0x117b5769ccc67), C(0x1179ffb38a414), C(0x1178f48329bd8), C(0x1178a8320f35e), C(0x1177c34e5ee33),
    C(0x11772ac397650), C(0x1176de821aaa5), C(0x117430a9b2ad2), C(0x1173be6f6b50e), C(0x11734c3afaf16), C(0x1173262acc4b3),
    C(0x117267e39d5df), C(0x117241d752bab), C(0x1171f5c0af44f), C(0x117079765df76), C(0x1170076cb3294), C(0x116f9568db9df),
    C(0x116ed76f6513f), C(0x116df38c94a4f), C(0x116d81a3e66b8), C(0x116d5bacf7327), C(0x116a64e9de7ca), C(0x1169cd4837788),
    C(0x11695b95beccd), C(0x1167494c32049), C(0x1166d7ba90223), C(0x1166b1e0a38b2), C(0x1165ced29941f), C(0x11647a68ec87f),
    C(0x11642eca48e2b), C(0x116269485e5ba), C(0x116160e73d974), C(0x1160efa2a858e), C(0x11607e63d74a2), C(0x115fc1b29f697),
    C(0x115e488031641), C(0x115d8bfef72d6), C(0x115c8431b18f6), C(0x115b56db2353f), C(0x115a4f50e9c9b), C(0x11592246ed09c),
    C(0x1158b16db2d48), C(0x11581affa606f), C(0x1155768e78911), C(0x11552b722c56b), C(0x11544a2c887c1), C(0x115368fdc32a4),
    C(0x1152f86ef2de0), C(0x1152176274d24), C(0x114e6ea40c158), C(0x114d8e0d64259), C(0x114d1dca99dc6), C(0x114cd2f6918e3),
    C(0x114c62bd429ac), C(0x114bf289a37a5), C(0x114b5cf851d82), C(0x114aecd1f5f5e), C(0x114a31f3fc928), C(0x114a0c9648e9e),
    C(0x114951cb3cd5f), C(0x11492c7151f39), C(0x1147dc646d5f1), C(0x114721c8a5fee), C(0x11461ca299b80), C(0x1144f253b9635),
    C(0x11445d3b6065d), C(0x1143ed6fb6f5a), C(0x1143a2eb14dc0), C(0x11422e7997e6a), C(0x1141e4040720f), C(0x1141beca2faab),
    C(0x114104b262f74), C(0x11409512080fc), C(0x113f90b1ce449), C(0x113e421a0aa69), C(0x113d884d69cb8), C(0x113ac6d261907),
    C(0x113a0d50bf0ac), C(0x1138bf8eb6b3e), C(0x11389a7c45d7d), C(0x1137e1296b3b5), C(0x1137bc1ab7bca), C(0x1136ddcf97d70),
    C(0x113693bb88aae), C(0x11366eb27028d), C(0x113624a21d388), C(0x1135217c951aa), C(0x1134b275d4009), C(0x1133f977017b8),
    C(0x113365832285f), C(0x11308254cc2cf), C(0x11301389a6357), C(0x112ea26219e1d), C(0x112e5894d2f44), C(0x112d7b3bd9668),
    C(0x112ce7b79324e), C(0x112c791add00a), C(0x112a06b68fe02), C(0x1129736d9aa99), C(0x1127de97dd0d4), C(0x11274b73e8548),
    C(0x11266ed074c4a), C(0x1125b703d8e63), C(0x112592432c0f5), C(0x11246c53eb8f5), C(0x1121697b0bce7), C(0x11208d6ecfed1),
    C(0x111ffac84196f), C(0x111e67b0cad13), C(0x111dd52effda8), C(0x111c427c8f598), C(0x111bb01f79f10), C(0x111b426014fb6),
    C(0x1118d4e0ae938), C(0x1118b05726dae), C(0x111842be3895a), C(0x1117f9b0a6544), C(0x1116fa145a3d1), C(0x11168c915d924),
    C(0x111568a432443), C(0x111544294a267), C(0x1113b30977dc1), C(0x111345b077dc4), C(0x1112b3ecf9e90), C(0x1110fedcce036),
    C(0x110f6e85688c6), C(0x110f0163084cd), C(0x110edd0373d21), C(0x110e02d2b1b7a), C(0x110dba1c9ea97), C(0x110d4d100c74b),
    C(0x110c4eb29048c), C(0x110c060b03246), C(0x110b74c32a6cb), C(0x1109c125a41cc), C(0x11097893d7afd), C(0x11090bbdac078),
    C(0x11089eeceec99), C(0x11087aa88f48d), C(0x1106ebe041d8c), C(0x11058197fbfa3), C(0x110514f471bcb), C(0x1104cc8a6d48b),
    C(0x1103cf2a51294), C(0x110386cb207a6), C(0x11031a40d9b3b), C(0x1102adbbfbaa1), C(0x11021d133cf40), C(0x1101b09afc667),
    C(0x1100fbde92d0d), C(0x11008f74ba68e), C(0x10fffef00010f), C(0x10ff9292c06f4), C(0x10fe71b4770a5), C(0x10fd75116ad4b),
    C(0x10fd08d48566f), C(0x10fc9c9d02ee9), C(0x10fb0fff89229), C(0x10faa3e1247da), C(0x10f8f39d54b9c), C(0x10f6b3c8961f3),
    C(0x10f647e1afde8), C(0x10f5044d26c75), C(0x10f4987bb04e5), C(0x10f355276cf95), C(0x10f2a19ba5494), C(0x10f212035165c),
    C(0x10eff7dcb3e8f), C(0x10eeb538cdcd5), C(0x10ee49b781b69), C(0x10ed2b2371a12), C(0x10ec544d42f1d), C(0x10ebe8ea287e8),
    C(0x10eb1233eb65b), C(0x10eaee6cf2f1b), C(0x10ea831b95662), C(0x10ea3b92f6117), C(0x10e965074557f), C(0x10e8d60b4969d),
    C(0x10e86ad47efda), C(0x10e6e1e3af345), C(0x10e653122a966), C(0x10e5e7fb36e3c), C(0x10e5a09986613), C(0x10e4a6d628ac8),
    C(0x10e3f480d6d34), C(0x10e2b3a5ea8e1), C(0x10e14f5c46ab4), C(0x10e09d4d7a1c1), C(0x10e079b2ad8e6), C(0x10e00ee5cd26d),
    C(0x10dfc7b57bc89), C(0x10dfa41e34538), C(0x10ddb215d92fd), C(0x10dc722887e8e), C(0x10dc4e9f4f9f6), C(0x10db9cf9fcaa9),
    C(0x10db326a9c5b3), C(0x10dac7e07f116), C(0x10da5d5ba4694), C(0x10d964e4c3979), C(0x10d69f9c6ab40), C(0x10d4f67a8852c),
    C(0x10d4d310d3c5c), C(0x10d48c3f29ad5), C(0x10d3fea2d11c4), C(0x10d32a49bf99b), C(0x10d2e3860b432), C(0x10d181d663a76),
    C(0x10d13b20a0f26), C(0x10cf05c61d0bb), C(0x10cdc8046e423), C(0x10ccadb88b6a9), C(0x10cc43e5a3707), C(0x10c9c96180f2e),
    C(0x10c93c7a02b25), C(0x10c8d2d2740a6), C(0x10c88c65a2743), C(0x10c822c6bc10d), C(0x10c72c6828786), C(0x10c6e6092edea),
    C(0x10c67c7f0b2f5), C(0x10c4b3645a2dd), C(0x10c449f5db3fc), C(0x10c39a4934235), C(0x10c2a46fa489d), C(0x10c168814c7df),
    C(0x10c0b910fc67a), C(0x10c04fd47c70a), C(0x10bfe69d2679d), C(0x10bef1301b8a0), C(0x10be41f36b073), C(0x10bdd8d5e15ea),
    C(0x10bd6fbd7f6f1), C(0x10bc7a98a50aa), C(0x10bc11916f716), C(0x10ba6da812115), C(0x10ba27b3d87c3), C(0x10b932ef0d507),
    C(0x10b7b2849b1c6), C(0x10b726cc1a5cd), C(0x10b6554873739), C(0x10b5a6bfbe779), C(0x10b51b296e186), C(0x10b449d909793),
    C(0x10b31006d9719), C(0x10b261c26c213), C(0x10b12837d8b70), C(0x10b09cec93745), C(0x10aefb413b298), C(0x10ae4d51ef25e),
    C(0x10adc2364ba61), C(0x10ad7cabdfe61), C(0x10abdb9ce66b4), C(0x10ab7365e2eae), C(0x10aa3adf5fbad), C(0x10a9d2bcb532a),
    C(0x10a9b0079d8d7), C(0x10a902869fb20), C(0x10a6fa584b5ba), C(0x10a6d7af0cec7), C(0x10a62a6948c97), C(0x10a607c36bdec),
    C(0x10a5c27962a32), C(0x10a59fd5364b2), C(0x10a2eb77ef86a), C(0x10a2c8df93bca), C(0x10a0e4c58b65c), C(0x10a05a892cfef),
    C(0x109ff2e1ca59d), C(0x109f8b3f74005), C(0x109e5476b709d), C(0x109dece88e2f4), C(0x109d405c2840f), C(0x109c4ee24f9f4),
    C(0x109c09e91ae9d), C(0x109ad3a35c34b), C(0x1098cee907822), C(0x1097991bea0b6), C(0x109776b2943b3), C(0x1096a846463bd),
    C(0x1094a48f4038b), C(0x10943d79acf36), C(0x10923a58de30a), C(0x1091f5b34626f), C(0x1090c0e596316), C(0x108ff3201a020),
    C(0x108fd0d6764d4), C(0x108f8c44d8c2e), C(0x108e9c58a79ba), C(0x108e358e06fe1), C(0x108d8a4764760), C(0x108d238a0e3f7),
    C(0x108c9a955aef9), C(0x108c33e3a3b61), C(0x108b88c682238), C(0x108abb829842f), C(0x108a994e8b1b9), C(0x108a32b5b438d),
    C(0x10896592efd6b), C(0x1088baafcfe21), C(0x108898840ae60), C(0x10876512f020f), C(0x108720c6fad09), C(0x1085cb6c3f8ea),
    C(0x1085872d82d24), C(0x108520d388aa5), C(0x10843214d8dbb), C(0x1083cbcb60075), C(0x10836586da04c), C(0x1081eeb5e9dbb),
    C(0x1081888876ed4), C(0x1081225ff4c83), C(0x10809a31a0bfb), C(0x107f67e97a0fa), C(0x107e35cdb944b), C(0x107d8bd179cc4),
    C(0x107d69d3de5c2), C(0x107cbfe80ab92), C(0x107c9dedb7d06), C(0x107c38020748e), C(0x107bf4124da1c), C(0x107b8e2ed0f03),
    C(0x107ac27699794), C(0x1079910725bd7), C(0x10796f19f0317), C(0x1078c58014133), C(0x10783ddb9c545), C(0x1077fa0ca6266),
    C(0x1076c9044e0f2), C(0x1076a7228bfad), C(0x107641808a621), C(0x1075dbe36f792), C(0x1075764b3ae55), C(0x1074cd031b0af),
    C(0x1074459fff9d4), C(0x10739c7059851), C(0x107336f3e222d), C(0x1072069bd267d), C(0x10713bcee1bc9), C(0x1070b4a67108e),
    C(0x106fe9fa0d81f), C(0x106f84ab2d777), C(0x106f4123f8814), C(0x106edbdd39663), C(0x106defa070913), C(0x106ce1c49834f),
    C(0x106cc00b8c770), C(0x106bf5c0a1650), C(0x106bb256a64cb), C(0x106b4d3bbb5b6), C(0x1068cd577593e), C(0x106868602bf7c),
    C(0x1068036dbcb76), C(0x1066f6544b23a), C(0x1065a624f7282), C(0x1063cfd6b4855), C(0x10628028732c6), C(0x1061d86575fdb),
    C(0x106173c3b54fa), C(0x10610f26c8d41), C(0x10602476112ee), C(0x105fe16cf9168), C(0x105e2de618f59), C(0x105deaed12627),
    C(0x105d009656756), C(0x105c5943dc08f), C(0x105b2c377938b), C(0x105a422f4f1fb), C(0x10586e6d6e084), C(0x10584d08270ae),
    C(0x10580a3f326c9), C(0x10572090a3364), C(0x1056159ff3e01), C(0x1055f444432d7), C(0x10542178739ba), C(0x1053bd7ee7e35),
    C(0x105338399db4e), C(0x1052d44b39b5d), C(0x10509e5e914bf), C(0x1050194c373b3), C(0x104fd6c638310), C(0x104eab8574d29),
    C(0x104e8a4804df7), C(0x104d806f9266f), C(0x104cfb900b453), C(0x104c97edf32db), C(0x104a002ed4c08), C(0x10497b885825b),
    C(0x1048513098d6d), C(0x10480eea01a95), C(0x10461e1bb9740), C(0x1045bacd7a81f), C(0x1044f43f2fcd9), C(0x1044d3294fc47),
    C(0x1042e3203b951), C(0x10427ff964fc0), C(0x1041dac3288b3), C(0x1040f38d4178a), C(0x103e5f80b73fa), C(0x103d78adc9d0e),
    C(0x103cd3ddab650), C(0x103cb2e8d052c), C(0x103bed36a6bd8), C(0x103b4885e0f8a), C(0x103ac4cea8538), C(0x103a82f62d965),
    C(0x1039ff4b7ac7d), C(0x10399c90ee9f4), C(0x103939db13c2b), C(0x10376d7318645), C(0x10374c942532d), C(0x10370ad7ce902),
    C(0x103645af47c74), C(0x10355fc254eda), C(0x1034591bdd02f), C(0x1033d5d518be2), C(0x1031e9d5af962), C(0x1030e39f500cb),
    C(0x102fbcc9c7162), C(0x102f9c09f9566), C(0x102ef852b8144), C(0x102dd1c30d64e), C(0x102d6f9c78765), C(0x102b64728f6ee),
    C(0x102b23169d55c), C(0x1029fd1264c7c), C(0x10299b1a449ea), C(0x10297a7341cbd), C(0x1028b69402eb5), C(0x10281368234f9),
    C(0x1026edd332038), C(0x1026cd36ff1ee), C(0x10266b657c6cf), C(0x1025c867eb273), C(0x1024e44db593e), C(0x1023bf2c6b61d),
    C(0x1021f78423362), C(0x102195ed26c1b), C(0x102113d5ad343), C(0x10200fbf4f60d), C(0x101fef3ed168b), C(0x101fae3f5e82b),
    C(0x101e6960d1ab9), C(0x101dc704b7b77), C(0x101d452aa2710), C(0x101c211dd3138), C(0x101b7eefaf25f), C(0x101b5e8196323),
    C(0x101abc62bff0a), C(0x101a3ab9a86b5), C(0x1019f9e82b8e4), C(0x101998b1c29c6), C(0x1018d652b1980), C(0x1018752a08df7),
    C(0x1017316e3fea2), C(0x1016f0b53258c), C(0x1016d0596ed02), C(0x10166f4931116), C(0x10162e963d2a5), C(0x1014eb35f52fe),
    C(0x10144998dbdd6), C(0x1012a5a22921b), C(0x10118315dcd3a), C(0x1010e1bd33cf7), C(0x1010c179ca05b), C(0x100f9f31d77a9),
    C(0x100f3e784c305), C(0x100e3c9fc1a8b), C(0x100d5b1ccef83), C(0x100d1ab2cbf88), C(0x100b7832ec66f), C(0x100b37d80c106),
    C(0x100a56a9db7a7), C(0x1009b5e11f4df), C(0x1008f500db7a9), C(0x100814121d20a), C(0x1007b3b3572ae), C(0x1007535917b7d),
    C(0x1007131f70e0d), C(0x100632657d3f6), C(0x100591efbc587), C(0x100571d9b0fb2), C(0x100390cb3d40a), C(0x1002705f1e7da),
    C(0x1001101211332), C(0x1000f00e10d2f), 
};

#else

static const ulong flint_trial_primes_inv1[FLINT_FACTOR_TRIAL_PRIMES] = {
    C(0x0), C(0xaaaaaaab), C(0xcccccccd), C(0xb6db6db7), C(0xba2e8ba3), C(0xc4ec4ec5), C(0xf0f0f0f1), C(0x286bca1b),
    C(0xe9bd37a7), C(0x4f72c235), C(0xbdef7bdf), C(0x914c1bad), C(0xc18f9c19), C(0x2fa0be83), C(0x677d46cf), C(0x8c13521d),
    C(0xa08ad8f3), C(0xc10c9715), C(0x7a44c6b), C(0xe327a977), C(0xc7e3f1f9), C(0x613716af), C(0x2b2e43db), C(0xfa3f47e9),
    C(0x5f02a3a1), C(0x7c32b16d), C(0xd3431b57), C(0x8d28ac43), C(0xda6c0965), C(0xfdbc091), C(0xefdfbf7f), C(0xc9484e2b),
    C(0x77975b9), C(0x70586723), C(0x8ce2cabd), C(0xbf937f27), C(0x2c0685b5), C(0x451ab30b), C(0xdb35a717), C(0xd516325),
    C(0xd962ae7b), C(0x10f8ed9d), C(0xee936f3f), C(0x90948f41), C(0x3d137e0d), C(0xef46c0f7), C(0x6e68575b), C(0xdb43bb1f),
    C(0x9ba144cb), C(0x478bbced), C(0x1fdcd759), C(0x437b2e0f), C(0x10fef011), C(0x9a020a33), C(0xff00ff01), C(0x70e99cb7),
    C(0x6205b5c5), C(0xa27acdef), C(0x25e4463d), C(0x749cb29), C(0xc9b97113), C(0x84ce32ad), C(0xc74be1fb), C(0xa7198487),
    C(0x39409d09), C(0x6f71de15), C(0xbfce8063), C(0xf61fe7b1), C(0x70e046d3), C(0xf1545af5), C(0x9a7862a1), C(0x2a128a57),
    C(0xb7747d8f), C(0xbb5e06dd), C(0x12e9b5b3), C(0xec9dbe7f), C(0xec41cf4d), C(0xaec02945), C(0x8382df71), C(0x84b1c2a9),
    C(0x75eb3a0b), C(0xfa86fe2d), C(0x3f8df54f), C(0x975a751), C(0xc3efac07), C(0xa8299b73), C(0x9ba70e41), C(0x23d9e879),
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    C(0x9996ba99), C(0x5a0b3c89), C(0xdfac9b05), C(0xeaf6e59), C(0xadc5ab55), C(0x549b53b7), C(0xbbbce4c5), C(0x4937e01b),
    C(0xa53909e1), C(0xf68891ad), C(0x3879f5bf), C(0xb4d3a26b), C(0x345a8eb1), C(0x9f8fa5d3), C(0xd8321f65), C(0x77b9d4b3),
    C(0xdfae2527), C(0xb792b9a9), C(0xc94d5bb5), C(0xe2f73003), C(0x2b33a73), C(0xf5095), C(0x35bde569), C(0x34b1411f),
    C(0x80c778d7), C(0xe6aa72e5), C(0x125493ef), C(0xd915eca7), C(0x9588e713), C(0x20f80ca5), C(0xea3c2bcf), C(0x739474bf),
    C(0x1fd03e77), C(0x7d10b585), C(0xa5e9bcdd), C(0x33b95d5), C(0x5a3bc36f), C(0x92f25a9b), C(0xc666d51), C(0xe46bd207),
    C(0x93894ceb), C(0xb5f6cb0d), C(0x624021cb), C(0x389d8c59), C(0x6639153b), C(0x380f0401), C(0xc1986019), C(0x79637987),
    C(0x7e4913c1), C(0xeeee306b), C(0xb49aaf), C(0x6c068be9), C(0x37ea7a1), C(0x36bb556d), C(0xeb6a6d65), C(0xd60c08bb),
    C(0xda7cadc9), C(0x2e7eebd), C(0xa1f24327), C(0x4cc08993), C(0x7ba4eb17), C(0xc349119d), C(0x2ced220d), C(0xe4e75005),
    C(0x3d3cbc3), C(0x8ea1ae33), C(0x94e319c5), C(0x4de51ef), C(0xc67b0f29), C(0xa2fd983), C(0x40873bd1), C(0x22706bb1),
    C(0x8f3717fd), C(0xe497ce57), C(0x7edd9465), C(0x985b018f), C(0x3cdd59b3), C(0x8add734d), C(0x88395227), C(0xeff06a9),
    C(0x9b0ede5f), C(0x6768f699), C(0xe6cf7007), C(0x8b5dac79), C(0x57d9f7ed), C(0x1f5842c3), C(0xf1cde33b), C(0x87da1cab),
    C(0xa6b01ecd), C(0xfc67f039), C(0xc36bb435), C(0x949a9197), C(0xf58f08cf), C(0xf2de11c1), C(0x280b5b63), C(0xe6f06a85),
    C(0x7ac2cd67), C(0x9c76dd9f), C(0x4c85734b), C(0x347c71d9), C(0x809261dd), C(0x769530b3), C(0xec24606f), C(0x35fcf9b),
    C(0x7f8cdcbd), C(0x1497b793), C(0xbc469d5f), C(0x9133e07b), C(0xd046c95), C(0x270d4e7), C(0x7f49b959), C(0x74614a3b),
    C(0xe3773d5d), C(0xcaca3eb7), C(0xfb3e7c5), C(0xeb65bb35), C(0x71e9c783), C(0x1466a7cf), C(0x542022f9), C(0xb7845185),
    C(0x4f4718d3), C(0x54671a6d), C(0xd13de191), C(0x311ec07f), C(0x23a7214d), C(0xfe393023), C(0x1e033f6f), C(0x94ac7eb5),
    C(0xf3afb817), C(0x4cbe1499), C(0x8b8b11f7), C(0x1df59069), C(0x4c2e0f0f), C(0xcdf01111), 
};

static const ulong flint_trial_primes_inv2[FLINT_FACTOR_TRIAL_PRIMES] = {
    C(0x7fffffff), C(0x55555555), C(0x33333333), C(0x24924924), C(0x1745d174), C(0x13b13b13), C(0xf0f0f0f), C(0xd79435e),
    C(0xb21642c), C(0x8d3dcb0), C(0x8421084), C(0x6eb3e45), C(0x63e7063), C(0x5f417d0), C(0x572620a), C(0x4d4873e),
    C(0x456c797), C(0x4325c53), C(0x3d22635), C(0x39b0ad1), C(0x381c0e0), C(0x33d91d2), C(0x3159721), C(0x2e05c0b),
    C(0x2a3a0fd), C(0x288df0c), C(0x27c4597), C(0x2647c69), C(0x2593f69), C(0x243f6f0), C(0x2040810), C(0x1f44659),
    C(0x1de5d6e), C(0x1d77b65), C(0x1b7d6c3), C(0x1b20364), C(0x1a16d3f), C(0x1920fb4), C(0x1886e5f), C(0x17ad220),
    C(0x16e1f76), C(0x16a13cd), C(0x1571ed3), C(0x1539094), C(0x14cab88), C(0x149539e), C(0x13698df), C(0x125e227),
    C(0x120b470), C(0x11e2ef3), C(0x1194538), C(0x112358e), C(0x10fef01), C(0x105197f), C(0xff00ff), C(0xf92fb2),
    C(0xf3a0d5), C(0xf1d48b), C(0xec9791), C(0xe93965), C(0xe79372), C(0xdfac1f), C(0xd578e9), C(0xd2ba08),
    C(0xd16154), C(0xcebcf8), C(0xc5fe74), C(0xc27806), C(0xbcdd53), C(0xbbc840), C(0xb9a786), C(0xb68d31),
    C(0xb2927c), C(0xafb321), C(0xaceb0f), C(0xab1cbd), C(0xa87917), C(0xa513fd), C(0xa36e71), C(0xa03c16),
    C(0x9c6916), C(0x9baade), C(0x980e41), C(0x975a75), C(0x9548e4), C(0x93efd1), C(0x91f5bc), C(0x8f67a1),
    C(0x8e2917), C(0x8d8be3), C(0x8c5584), C(0x88d180), C(0x869222), C(0x85797b), C(0x8355ac), C(0x824a4e),
    C(0x80c121), C(0x7dc9f3), C(0x7d4ece), C(0x79237d), C(0x77cf53), C(0x75a8ac), C(0x7467ac), C(0x732d70),
    C(0x72c62a), C(0x7194a1), C(0x6fa549), C(0x6e8419), C(0x6d68b5), C(0x6d0b80), C(0x6bf790), C(0x6ae907),
    C(0x6a3799), C(0x69dfbd), C(0x67dc4c), C(0x663d80), C(0x65ec17), C(0x654ac8), C(0x645c85), C(0x637299),
    C(0x632591), C(0x6160ff), C(0x60cdb5), C(0x5ff401), C(0x5ed79e), C(0x5d7d42), C(0x5c6f35), C(0x5b2618),
    C(0x5a2553), C(0x59686c), C(0x58ae97), C(0x58345f), C(0x5743d5), C(0x5692c4), C(0x561e46), C(0x5538ed),
    C(0x54c807), C(0x5345ef), C(0x523a75), C(0x510237), C(0x50cf12), C(0x4fd319), C(0x4fa170), C(0x4f3ed6),
    C(0x4f0de5), C(0x4e1cae), C(0x4cd47b), C(0x4c78ae), C(0x4c4b19), C(0x4bf093), C(0x4aba3c), C(0x4a6360),
    C(0x4a383e), C(0x49e28f), C(0x48417b), C(0x47f043), C(0x474ff2), C(0x468b6f), C(0x45f13f), C(0x45a522),
    C(0x45342c), C(0x44c4a2), C(0x43c5c2), C(0x437e49), C(0x43142d), C(0x42ab5c), C(0x422195), C(0x41bbb2),
    C(0x40f391), C(0x40b1e9), C(0x405064), C(0x403024), C(0x3f90c2), C(0x3f7141), C(0x3f1377), C(0x3e7988),
    C(0x3e5b19), C(0x3dc4a5), C(0x3da6e4), C(0x3d4e4f), C(0x3c4a6b), C(0x3c11d5), C(0x3bf5b1), C(0x3bbdb9),
    C(0x3b6a88), C(0x3b183c), C(0x3aabe3), C(0x3a5ba3), C(0x3a0c3e), C(0x38f035), C(0x38d6ec), C(0x3859cf),
    C(0x37f741), C(0x377df0), C(0x373622), C(0x36ef0c), C(0x36915f), C(0x36072c), C(0x35d9b7), C(0x359615),
    C(0x35531c), C(0x353cee), C(0x34fad3), C(0x347884), C(0x340dd3), C(0x3351fd), C(0x333d72), C(0x33148d),
    C(0x32d7ae), C(0x32c385), C(0x328766), C(0x325fa1), C(0x324bd6), C(0x32246e), C(0x31afa5), C(0x319c63),
    C(0x3162f7), C(0x30271f), C(0x2ff104), C(0x2fbb62), C(0x2f7499), C(0x2ed84a), C(0x2e832d), C(0x2e0e08),
    C(0x2decfb), C(0x2ddc87), C(0x2dbbc1), C(0x2d8af0), C(0x2d4a7b), C(0x2d2a85), C(0x2d1a9a), C(0x2ceb1e),
    C(0x2c8d50), C(0x2c404d), C(0x2c3106), C(0x2c1297), C(0x2c0370), C(0x2be540), C(0x2bb845), C(0x2b5f62),
    C(0x2b07e6), C(0x2ace56), C(0x2a791d), C(0x2a4eff), C(0x2a3319), C(0x2a0986), C(0x29d295), C(0x29b752),
    C(0x298137), C(0x29665e), C(0x290975), C(0x28ef35), C(0x28c815), C(0x28bb1b), C(0x28a13f), C(0x287ab3),
    C(0x286dea), C(0x2847bf), C(0x2808c1), C(0x278d0e), C(0x276886), C(0x275051), C(0x274441), C(0x26b5c1),
    C(0x269e65), C(0x2692c2), C(0x2658fa), C(0x261487), C(0x260936), C(0x25d106), C(0x25a48a), C(0x258371),
    C(0x256292), C(0x2541ed), C(0x24e150), C(0x24c18b), C(0x24ac7b), C(0x24a1fc), C(0x246380), C(0x24300f),
    C(0x23f314), C(0x23cade), C(0x237b7e), C(0x233729), C(0x231a30), C(0x2306fa), C(0x22fd67), C(0x22ea50),
    C(0x22e0cc), C(0x22b188), C(0x227977), C(0x225db3), C(0x22421b), C(0x21f05b), C(0x21e75d), C(0x21a01d),
    C(0x21974a), C(0x213767), C(0x211d9f), C(0x20fb7d), C(0x20e212), C(0x20d135), C(0x20c8cd), C(0x20b80b),
    C(0x2096b9), C(0x207de7), C(0x2054de), C(0x204cb6), C(0x202428), C(0x1fec0c), C(0x1fc46f), C(0x1facda),
    C(0x1f7e17), C(0x1f765a), C(0x1f66ea), C(0x1f5f38), C(0x1f38f4), C(0x1f0b85), C(0x1f03ff), C(0x1ec853),
    C(0x1ec0ee), C(0x1eaad3), C(0x1e9c28), C(0x1e94d8), C(0x1e707b), C(0x1e53a2), C(0x1e1380), C(0x1dbf9f),
    C(0x1db1d1), C(0x1d9d35), C(0x1d81e6), C(0x1d4bdf), C(0x1d452c), C(0x1d37cf), C(0x1d1d3a), C(0x1ce89f),
    C(0x1ce219), C(0x1cd516), C(0x1cbb33), C(0x1ca7e7), C(0x1c94b5), C(0x1c87f7), C(0x1c6202), C(0x1c5bb8),
    C(0x1c1743), C(0x1c04d0), C(0x1bfeb0), C(0x1bec5d), C(0x1be034), C(0x1bce09), C(0x1ba402), C(0x1b9225),
    C(0x1b864a), C(0x1b8060), C(0x1b6eb1), C(0x1b62f4), C(0x1b516b), C(0x1b2e9c), C(0x1b1d56), C(0x1b0c26),
    C(0x1ae45f), C(0x1ad917), C(0x1ac83d), C(0x1aa6c7), C(0x1a90a7), C(0x1a8027), C(0x1a7533), C(0x1a2ed7),
    C(0x19fefc), C(0x19e4b0), C(0x19cfcd), C(0x19c569), C(0x19b5e1), C(0x19b0b8), C(0x19a149), C(0x196951),
    C(0x194b30), C(0x194631), C(0x191e84), C(0x190adb), C(0x190113), C(0x18e3e6), C(0x18c233), C(0x18aa58),
    C(0x18a598), C(0x189c1e), C(0x18893f), C(0x187b2b), C(0x186d27), C(0x1863d8), C(0x185f33), C(0x1855ef),
    C(0x184816), C(0x1835b7), C(0x182c92), C(0x182802), C(0x181a5c), C(0x1803c0), C(0x17ff40), C(0x17e8d6),
    C(0x17d706), C(0x17ce28), C(0x17af52), C(0x17997d), C(0x177f7e), C(0x177b2f), C(0x176e4a), C(0x1765b9),
    C(0x176173), C(0x173f7a), C(0x172211), C(0x1719b7), C(0x170d3c), C(0x16fcad), C(0x16f051), C(0x16e81b),
    C(0x16c372), C(0x16b34c), C(0x169f3c), C(0x169344), C(0x168759), C(0x167787), C(0x1663e1), C(0x164c7a),
    C(0x16316a), C(0x1629ba), C(0x161e3d), C(0x1612cc), C(0x160efe), C(0x15da45), C(0x15d68a), C(0x15c3f9),
    C(0x15b535), C(0x15addb), C(0x159445), C(0x158d01), C(0x157e87), C(0x1568f5), C(0x155e3c), C(0x1548ea),
    C(0x1541d8), C(0x153747), C(0x151456), C(0x150309), C(0x14ff97), C(0x14e42c), C(0x14b835), C(0x14b182),
    C(0x14ae2a), C(0x149a32), C(0x149044), C(0x1489aa), C(0x1475f8), C(0x146c2c), C(0x145f2c), C(0x1458b2),
    C(0x144bcb), C(0x1428a1), C(0x142575), C(0x141f20), C(0x141bf6), C(0x140914), C(0x13dd8b), C(0x13da76),
    C(0x13d13e), C(0x13c80e), C(0x13bee6), C(0x13b8d0), C(0x13afb7), C(0x13acb0), C(0x139a9c), C(0x13949c),
    C(0x1382b4), C(0x137fbb), C(0x1370ec), C(0x136df9), C(0x13567d), C(0x135392), C(0x133c56), C(0x1333ae),
    C(0x13170a), C(0x13005f), C(0x12f51d), C(0x12ef81), C(0x12ecb4), C(0x12e71d), C(0x12e453), C(0x12c5d9),
    C(0x12badc), C(0x12aa78), C(0x12a251), C(0x1294cb), C(0x129219), C(0x128cb7), C(0x1284aa), C(0x1281fc),
    C(0x1279f9), C(0x126cad), C(0x126a06), C(0x125a2f), C(0x124d10), C(0x124a73), C(0x123d6a), C(0x122b4b),
    C(0x122391), C(0x121e6f), C(0x1216c0), C(0x120c8c), C(0x1204ed), C(0x11fd54), C(0x11e931), C(0x11da34),
    C(0x11d7b6), C(0x11d2be), C(0x11c170), C(0x11ba0f), C(0x11b528), C(0x11ab61), C(0x119f37), C(0x119588),
    C(0x118e4c), C(0x118716), C(0x116cd6), C(0x1165bb), C(0x11635e), C(0x115797), C(0x114734), C(0x11428b),
    C(0x113b92), C(0x1126ca), C(0x11247e), C(0x11190b), C(0x11091d), C(0x110496), C(0x110253), C(0x10f70d),
    C(0x10e75e), C(0x10e2e9), C(0x10da04), C(0x10c624), C(0x10c1c0), C(0x10bb2e), C(0x10b8fe), C(0x10b4a1),
    C(0x10ae19), C(0x10abec), C(0x109eef), C(0x109a9f), C(0x108531), C(0x106dde), C(0x106141), C(0x105f29),
    C(0x105afa), C(0x1054b7), C(0x104e79), C(0x104c66), C(0x10462e), C(0x102f8b), C(0x102d7f), C(0x10275f),
    C(0x101721), C(0x101112), C(0x100501), C(0x100300), C(0xffd00), C(0xff10e), C(0xfe13b), C(0xfdf43),
    C(0xfdb54), C(0xfd572), C(0xfc7c8), C(0xfc3e5), C(0xfc1f4), C(0xfb092), C(0xf999f), C(0xf9023),
    C(0xf8a78), C(0xf8895), C(0xf7f2e), C(0xf7d4e), C(0xf73f5), C(0xf7217), C(0xf68cb), C(0xf633d),
    C(0xf6163), C(0xf582b), C(0xf5654), C(0xf4d2a), C(0xf47af), C(0xf4066), C(0xf2555), C(0xf1c64),
    C(0xf1a9b), C(0xf11b7), C(0xf0aa2), C(0xf0556), C(0xefc8b), C(0xeecd1), C(0xee79a), C(0xedd38),
    C(0xed2e4), C(0xed12c), C(0xec1cd), C(0xebcb4), C(0xeb950), C(0xeb43d), C(0xeaf2d), C(0xea014),
    C(0xe9e68), C(0xe9614), C(0xe8a7a), C(0xe8587), C(0xe823d), C(0xe8098), C(0xe7d4f), C(0xe69bb),
    C(0xe681c), C(0xe5e68), C(0xe5993), C(0xe4cbf), C(0xe465e), C(0xe4199), C(0xe3cd8), C(0xe2ea5),
    C(0xe221e), C(0xe208f), C(0xe1d71), C(0xe18c7), C(0xe173a), C(0xe1294), C(0xe0df1), C(0xe063e),
    C(0xe01a4), C(0xdf878), C(0xdef57), C(0xde1bd), C(0xde03c), C(0xddbba), C(0xdd8bb), C(0xdcb4d),
    C(0xdc55d), C(0xdb3ad), C(0xdb0be), C(0xdaf48), C(0xdac5b), C(0xda7fb), C(0xda686), C(0xd9dd0),
    C(0xd9aeb), C(0xd90d3), C(0xd7b64), C(0xd744e), C(0xd7011), C(0xd67a0), C(0xd5dd3), C(0xd59a4),
    C(0xd52b2), C(0xd4a65), C(0xd4904), C(0xd4642), C(0xd4222), C(0xd3ca6), C(0xd388c), C(0xd31bc),
    C(0xd3060), C(0xd2da9), C(0xd2430), C(0xd2025), C(0xd1c1d), C(0xd196e), C(0xd156a), C(0xd1413),
    C(0xd0d68), C(0xd0c14), C(0xd0179), C(0xcf990), C(0xcf44f), C(0xce88d), C(0xce5f3), C(0xce20e),
    C(0xcda4b), C(0xcd901), C(0xcd524), C(0xcd149), C(0xccd70), C(0xcbb9c), C(0xcb7d0), C(0xcaefe),
    C(0xcac7b), C(0xca778), C(0xca13a), C(0xc9c40), C(0xc94d0), C(0xc89b8), C(0xc8744), C(0xc860a),
    C(0xc8397), C(0xc74fa), C(0xc6db8), C(0xc6a1a), C(0xc68e6), C(0xc5f4e), C(0xc5bb8), C(0xc5825),
    C(0xc4fd5), C(0xc49ec), C(0xc41b0), C(0xc3f57), C(0xc2ddc), C(0xc2a63), C(0xc26ec), C(0xc2377),
    C(0xc1ede), C(0xc1b6e), C(0xc1924), C(0xc17ff), C(0xc1128), C(0xc0dbf), C(0xc0b7a), C(0xc0a58),
    C(0xc06f4), C(0xbfa92), C(0xbf736), C(0xbf618), C(0xbf3dc), C(0xbe9d9), C(0xbe8bd), C(0xbe686),
    C(0xbdfe6), C(0xbdecc), C(0xbdb80), C(0xbd94e), C(0xbcb1d), C(0xbc7db), C(0xbc49b), C(0xbc272),
    C(0xbbe21), C(0xbb8c1), C(0xba7ad), C(0xb9f36), C(0xb9e28), C(0xb9aff), C(0xb98e4), C(0xb97d7),
    C(0xb95be), C(0xb94b2), C(0xb8f77), C(0xb882d), C(0xb850f), C(0xb82fd), C(0xb7eda), C(0xb79b3),
    C(0xb769e), C(0xb6c63), C(0xb6a59), C(0xb6955), C(0xb6648), C(0xb5722), C(0xb5520), C(0xb511e),
    C(0xb4c1f), C(0xb4922), C(0xb4627), C(0xb4230), C(0xb3f38), C(0xb394d), C(0xb3756), C(0xb3463),
    C(0xb3368), C(0xb3078), C(0xb2e84), C(0xb2b97), C(0xb2a9d), C(0xb25c0), C(0xb24c8), C(0xb1d0a),
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    C(0x1016d), C(0x10166), C(0x10162), C(0x1014e), C(0x10144), C(0x1012a), C(0x10118), C(0x1010e),
    C(0x1010c), C(0x100f9), C(0x100f3), C(0x100e3), C(0x100d5), C(0x100d1), C(0x100b7), C(0x100b3),
    C(0x100a5), C(0x1009b), C(0x1008f), C(0x10081), C(0x1007b), C(0x10075), C(0x10071), C(0x10063),
    C(0x10059), C(0x10057), C(0x10039), C(0x10027), C(0x10011), C(0x1000f), 
};

#endif

#undef C