/// This file contains tensor-agnostic SoboleEngine constants
#include <ATen/native/SobolEngineOpsUtils.h>

namespace at {
namespace native {
namespace sobol_utils {

/// All definitions below this point are data. These are constant, and should not be modified
/// without notice
const int64_t poly[1111] = {
  1, 3, 7, 11, 13, 19, 25, 37, 59, 47, 61, 55, 41, 67, 97, 91, 109,
  103, 115, 131, 193, 137, 145, 143, 241, 157, 185, 167, 229, 171,
  213, 191, 253, 203, 211, 239, 247, 285, 369, 299, 301, 333, 351,
  355, 357, 361, 391, 397, 425, 451, 463, 487, 501, 529, 539, 545,
  557, 563, 601, 607, 617, 623, 631, 637, 647, 661, 675, 677, 687,
  695, 701, 719, 721, 731, 757, 761, 787, 789, 799, 803, 817, 827,
  847, 859, 865, 875, 877, 883, 895, 901, 911, 949, 953, 967, 971,
  973, 981, 985, 995, 1001, 1019, 1033, 1051, 1063, 1069, 1125, 1135,
  1153, 1163, 1221, 1239, 1255, 1267, 1279, 1293, 1305, 1315, 1329,
  1341, 1347, 1367, 1387, 1413, 1423, 1431, 1441, 1479, 1509, 1527,
  1531, 1555, 1557, 1573, 1591, 1603, 1615, 1627, 1657, 1663, 1673,
  1717, 1729, 1747, 1759, 1789, 1815, 1821, 1825, 1849, 1863, 1869,
  1877, 1881, 1891, 1917, 1933, 1939, 1969, 2011, 2035, 2041, 2053,
  2071, 2091, 2093, 2119, 2147, 2149, 2161, 2171, 2189, 2197, 2207,
  2217, 2225, 2255, 2257, 2273, 2279, 2283, 2293, 2317, 2323, 2341,
  2345, 2363, 2365, 2373, 2377, 2385, 2395, 2419, 2421, 2431, 2435,
  2447, 2475, 2477, 2489, 2503, 2521, 2533, 2551, 2561, 2567, 2579,
  2581, 2601, 2633, 2657, 2669, 2681, 2687, 2693, 2705, 2717, 2727,
  2731, 2739, 2741, 2773, 2783, 2793, 2799, 2801, 2811, 2819, 2825,
  2833, 2867, 2879, 2881, 2891, 2905, 2911, 2917, 2927, 2941, 2951,
  2955, 2963, 2965, 2991, 2999, 3005, 3017, 3035, 3037, 3047, 3053,
  3083, 3085, 3097, 3103, 3159, 3169, 3179, 3187, 3205, 3209, 3223,
  3227, 3229, 3251, 3263, 3271, 3277, 3283, 3285, 3299, 3305, 3319,
  3331, 3343, 3357, 3367, 3373, 3393, 3399, 3413, 3417, 3427, 3439,
  3441, 3475, 3487, 3497, 3515, 3517, 3529, 3543, 3547, 3553, 3559,
  3573, 3589, 3613, 3617, 3623, 3627, 3635, 3641, 3655, 3659, 3669,
  3679, 3697, 3707, 3709, 3713, 3731, 3743, 3747, 3771, 3791, 3805,
  3827, 3833, 3851, 3865, 3889, 3895, 3933, 3947, 3949, 3957, 3971,
  3985, 3991, 3995, 4007, 4013, 4021, 4045, 4051, 4069, 4073, 4179,
  4201, 4219, 4221, 4249, 4305, 4331, 4359, 4383, 4387, 4411, 4431,
  4439, 4449, 4459, 4485, 4531, 4569, 4575, 4621, 4663, 4669, 4711,
  4723, 4735, 4793, 4801, 4811, 4879, 4893, 4897, 4921, 4927, 4941,
  4977, 5017, 5027, 5033, 5127, 5169, 5175, 5199, 5213, 5223, 5237,
  5287, 5293, 5331, 5391, 5405, 5453, 5523, 5573, 5591, 5597, 5611,
  5641, 5703, 5717, 5721, 5797, 5821, 5909, 5913, 5955, 5957, 6005,
  6025, 6061, 6067, 6079, 6081, 6231, 6237, 6289, 6295, 6329, 6383,
  6427, 6453, 6465, 6501, 6523, 6539, 6577, 6589, 6601, 6607, 6631,
  6683, 6699, 6707, 6761, 6795, 6865, 6881, 6901, 6923, 6931, 6943,
  6999, 7057, 7079, 7103, 7105, 7123, 7173, 7185, 7191, 7207, 7245,
  7303, 7327, 7333, 7355, 7365, 7369, 7375, 7411, 7431, 7459, 7491,
  7505, 7515, 7541, 7557, 7561, 7701, 7705, 7727, 7749, 7761, 7783,
  7795, 7823, 7907, 7953, 7963, 7975, 8049, 8089, 8123, 8125, 8137,
  8219, 8231, 8245, 8275, 8293, 8303, 8331, 8333, 8351, 8357, 8367,
  8379, 8381, 8387, 8393, 8417, 8435, 8461, 8469, 8489, 8495, 8507,
  8515, 8551, 8555, 8569, 8585, 8599, 8605, 8639, 8641, 8647, 8653,
  8671, 8675, 8689, 8699, 8729, 8741, 8759, 8765, 8771, 8795, 8797,
  8825, 8831, 8841, 8855, 8859, 8883, 8895, 8909, 8943, 8951, 8955,
  8965, 8999, 9003, 9031, 9045, 9049, 9071, 9073, 9085, 9095, 9101,
  9109, 9123, 9129, 9137, 9143, 9147, 9185, 9197, 9209, 9227, 9235,
  9247, 9253, 9257, 9277, 9297, 9303, 9313, 9325, 9343, 9347, 9371,
  9373, 9397, 9407, 9409, 9415, 9419, 9443, 9481, 9495, 9501, 9505,
  9517, 9529, 9555, 9557, 9571, 9585, 9591, 9607, 9611, 9621, 9625,
  9631, 9647, 9661, 9669, 9679, 9687, 9707, 9731, 9733, 9745, 9773,
  9791, 9803, 9811, 9817, 9833, 9847, 9851, 9863, 9875, 9881, 9905,
  9911, 9917, 9923, 9963, 9973, 10003, 10025, 10043, 10063, 10071,
  10077, 10091, 10099, 10105, 10115, 10129, 10145, 10169, 10183,
  10187, 10207, 10223, 10225, 10247, 10265, 10271, 10275, 10289,
  10299, 10301, 10309, 10343, 10357, 10373, 10411, 10413, 10431,
  10445, 10453, 10463, 10467, 10473, 10491, 10505, 10511, 10513,
  10523, 10539, 10549, 10559, 10561, 10571, 10581, 10615, 10621,
  10625, 10643, 10655, 10671, 10679, 10685, 10691, 10711, 10739,
  10741, 10755, 10767, 10781, 10785, 10803, 10805, 10829, 10857,
  10863, 10865, 10875, 10877, 10917, 10921, 10929, 10949, 10967,
  10971, 10987, 10995, 11009, 11029, 11043, 11045, 11055, 11063,
  11075, 11081, 11117, 11135, 11141, 11159, 11163, 11181, 11187,
  11225, 11237, 11261, 11279, 11297, 11307, 11309, 11327, 11329,
  11341, 11377, 11403, 11405, 11413, 11427, 11439, 11453, 11461,
  11473, 11479, 11489, 11495, 11499, 11533, 11545, 11561, 11567,
  11575, 11579, 11589, 11611, 11623, 11637, 11657, 11663, 11687,
  11691, 11701, 11747, 11761, 11773, 11783, 11795, 11797, 11817,
  11849, 11855, 11867, 11869, 11873, 11883, 11919, 11921, 11927,
  11933, 11947, 11955, 11961, 11999, 12027, 12029, 12037, 12041,
  12049, 12055, 12095, 12097, 12107, 12109, 12121, 12127, 12133,
  12137, 12181, 12197, 12207, 12209, 12239, 12253, 12263, 12269,
  12277, 12287, 12295, 12309, 12313, 12335, 12361, 12367, 12391,
  12409, 12415, 12433, 12449, 12469, 12479, 12481, 12499, 12505,
  12517, 12527, 12549, 12559, 12597, 12615, 12621, 12639, 12643,
  12657, 12667, 12707, 12713, 12727, 12741, 12745, 12763, 12769,
  12779, 12781, 12787, 12799, 12809, 12815, 12829, 12839, 12857,
  12875, 12883, 12889, 12901, 12929, 12947, 12953, 12959, 12969,
  12983, 12987, 12995, 13015, 13019, 13031, 13063, 13077, 13103,
  13137, 13149, 13173, 13207, 13211, 13227, 13241, 13249, 13255,
  13269, 13283, 13285, 13303, 13307, 13321, 13339, 13351, 13377,
  13389, 13407, 13417, 13431, 13435, 13447, 13459, 13465, 13477,
  13501, 13513, 13531, 13543, 13561, 13581, 13599, 13605, 13617,
  13623, 13637, 13647, 13661, 13677, 13683, 13695, 13725, 13729,
  13753, 13773, 13781, 13785, 13795, 13801, 13807, 13825, 13835,
  13855, 13861, 13871, 13883, 13897, 13905, 13915, 13939, 13941,
  13969, 13979, 13981, 13997, 14027, 14035, 14037, 14051, 14063,
  14085, 14095, 14107, 14113, 14125, 14137, 14145, 14151, 14163,
  14193, 14199, 14219, 14229, 14233, 14243, 14277, 14287, 14289,
  14295, 14301, 14305, 14323, 14339, 14341, 14359, 14365, 14375,
  14387, 14411, 14425, 14441, 14449, 14499, 14513, 14523, 14537,
  14543, 14561, 14579, 14585, 14593, 14599, 14603, 14611, 14641,
  14671, 14695, 14701, 14723, 14725, 14743, 14753, 14759, 14765,
  14795, 14797, 14803, 14831, 14839, 14845, 14855, 14889, 14895,
  14909, 14929, 14941, 14945, 14951, 14963, 14965, 14985, 15033,
  15039, 15053, 15059, 15061, 15071, 15077, 15081, 15099, 15121,
  15147, 15149, 15157, 15167, 15187, 15193, 15203, 15205, 15215,
  15217, 15223, 15243, 15257, 15269, 15273, 15287, 15291, 15313,
  15335, 15347, 15359, 15373, 15379, 15381, 15391, 15395, 15397,
  15419, 15439, 15453, 15469, 15491, 15503, 15517, 15527, 15531,
  15545, 15559, 15593, 15611, 15613, 15619, 15639, 15643, 15649,
  15661, 15667, 15669, 15681, 15693, 15717, 15721, 15741, 15745,
  15765, 15793, 15799, 15811, 15825, 15835, 15847, 15851, 15865,
  15877, 15881, 15887, 15899, 15915, 15935, 15937, 15955, 15973,
  15977, 16011, 16035, 16061, 16069, 16087, 16093, 16097, 16121,
  16141, 16153, 16159, 16165, 16183, 16189, 16195, 16197, 16201,
  16209, 16215, 16225, 16259, 16265, 16273, 16299, 16309, 16355,
  16375, 16381
};

const int64_t initsobolstate[1111][13] = {
  {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 3, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 13, 3, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 5, 11, 27, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 5, 1, 15, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 7, 3, 29, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 7, 21, 0, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 1, 9, 23, 37, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 3, 5, 19, 33, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 3, 13, 11, 7, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 7, 13, 25, 5, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 5, 11, 7, 11, 0, 0, 0, 0, 0, 0, 0},
  {1, 1, 1, 3, 13, 39, 0, 0, 0, 0, 0, 0, 0},
  {1, 3, 1, 15, 17, 63, 13, 0, 0, 0, 0, 0, 0},
  {1, 1, 5, 5, 1, 59, 33, 0, 0, 0, 0, 0, 0},
  {1, 3, 3, 3, 25, 17, 115, 0, 0, 0, 0, 0, 0},
  {1, 1, 7, 15, 29, 15, 41, 0, 0, 0, 0, 0, 0},
  {1, 3, 1, 7, 3, 23, 79, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 9, 31, 29, 17, 0, 0, 0, 0, 0, 0},
  {1, 1, 5, 13, 11, 3, 29, 0, 0, 0, 0, 0, 0},
  {1, 1, 1, 9, 5, 21, 119, 0, 0, 0, 0, 0, 0},
  {1, 1, 3, 1, 23, 13, 75, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 11, 27, 31, 73, 0, 0, 0, 0, 0, 0},
  {1, 1, 7, 7, 19, 25, 105, 0, 0, 0, 0, 0, 0},
  {1, 3, 1, 5, 21, 9, 7, 0, 0, 0, 0, 0, 0},
  {1, 1, 1, 15, 5, 49, 59, 0, 0, 0, 0, 0, 0},
  {1, 3, 1, 1, 1, 33, 65, 0, 0, 0, 0, 0, 0},
  {1, 3, 5, 15, 17, 19, 21, 0, 0, 0, 0, 0, 0},
  {1, 1, 7, 11, 13, 29, 3, 0, 0, 0, 0, 0, 0},
  {1, 3, 7, 5, 7, 11, 113, 0, 0, 0, 0, 0, 0},
  {1, 1, 5, 11, 15, 19, 61, 0, 0, 0, 0, 0, 0},
  {1, 1, 1, 1, 9, 27, 89, 7, 0, 0, 0, 0, 0},
  {1, 1, 3, 7, 31, 15, 45, 23, 0, 0, 0, 0, 0},
  {1, 3, 3, 9, 25, 25, 107, 39, 0, 0, 0, 0, 0},
  {1, 1, 7, 7, 3, 63, 21, 217, 0, 0, 0, 0, 0},
  {1, 3, 5, 7, 5, 55, 71, 141, 0, 0, 0, 0, 0},
  {1, 1, 5, 1, 23, 17, 79, 27, 0, 0, 0, 0, 0},
  {1, 1, 5, 15, 7, 63, 19, 53, 0, 0, 0, 0, 0},
  {1, 1, 3, 15, 3, 49, 71, 181, 0, 0, 0, 0, 0},
  {1, 3, 3, 15, 17, 19, 61, 169, 0, 0, 0, 0, 0},
  {1, 3, 3, 13, 23, 41, 41, 35, 0, 0, 0, 0, 0},
  {1, 1, 1, 3, 3, 59, 57, 15, 0, 0, 0, 0, 0},
  {1, 3, 1, 3, 3, 3, 121, 207, 0, 0, 0, 0, 0},
  {1, 3, 5, 15, 21, 57, 87, 45, 0, 0, 0, 0, 0},
  {1, 1, 1, 5, 25, 33, 119, 247, 0, 0, 0, 0, 0},
  {1, 1, 1, 9, 25, 49, 55, 185, 0, 0, 0, 0, 0},
  {1, 3, 5, 7, 23, 53, 85, 117, 0, 0, 0, 0, 0},
  {1, 3, 3, 13, 11, 57, 121, 41, 235, 0, 0, 0, 0},
  {1, 1, 3, 3, 19, 57, 119, 81, 307, 0, 0, 0, 0},
  {1, 3, 3, 7, 3, 39, 11, 223, 495, 0, 0, 0, 0},
  {1, 3, 3, 5, 11, 21, 23, 151, 417, 0, 0, 0, 0},
  {1, 3, 1, 11, 31, 7, 61, 81, 57, 0, 0, 0, 0},
  {1, 1, 3, 9, 7, 53, 11, 189, 151, 0, 0, 0, 0},
  {1, 3, 7, 1, 9, 9, 35, 61, 19, 0, 0, 0, 0},
  {1, 1, 5, 9, 5, 55, 33, 95, 119, 0, 0, 0, 0},
  {1, 3, 7, 1, 17, 15, 43, 185, 375, 0, 0, 0, 0},
  {1, 1, 3, 5, 23, 59, 107, 23, 451, 0, 0, 0, 0},
  {1, 1, 7, 7, 17, 19, 113, 73, 55, 0, 0, 0, 0},
  {1, 3, 1, 13, 17, 49, 101, 113, 449, 0, 0, 0, 0},
  {1, 3, 3, 9, 25, 31, 29, 239, 501, 0, 0, 0, 0},
  {1, 1, 3, 9, 13, 3, 87, 85, 53, 0, 0, 0, 0},
  {1, 1, 5, 1, 11, 39, 119, 9, 185, 0, 0, 0, 0},
  {1, 1, 1, 7, 31, 5, 97, 201, 317, 0, 0, 0, 0},
  {1, 1, 3, 3, 27, 5, 29, 83, 17, 0, 0, 0, 0},
  {1, 3, 5, 5, 19, 41, 17, 53, 21, 0, 0, 0, 0},
  {1, 1, 5, 1, 17, 9, 89, 183, 487, 0, 0, 0, 0},
  {1, 1, 7, 11, 23, 19, 5, 203, 13, 0, 0, 0, 0},
  {1, 3, 7, 11, 7, 9, 127, 91, 347, 0, 0, 0, 0},
  {1, 1, 7, 13, 5, 57, 89, 149, 393, 0, 0, 0, 0},
  {1, 1, 1, 7, 11, 25, 119, 101, 15, 0, 0, 0, 0},
  {1, 1, 1, 7, 19, 1, 117, 13, 391, 0, 0, 0, 0},
  {1, 3, 3, 9, 19, 15, 103, 111, 307, 0, 0, 0, 0},
  {1, 3, 3, 9, 7, 51, 105, 239, 189, 0, 0, 0, 0},
  {1, 1, 1, 1, 13, 11, 41, 3, 381, 0, 0, 0, 0},
  {1, 3, 1, 1, 21, 19, 83, 205, 71, 0, 0, 0, 0},
  {1, 3, 5, 3, 21, 61, 25, 253, 163, 0, 0, 0, 0},
  {1, 1, 1, 9, 7, 53, 41, 247, 99, 0, 0, 0, 0},
  {1, 3, 5, 15, 9, 29, 55, 121, 467, 0, 0, 0, 0},
  {1, 3, 7, 1, 11, 19, 69, 189, 167, 0, 0, 0, 0},
  {1, 3, 5, 5, 1, 11, 117, 169, 433, 0, 0, 0, 0},
  {1, 1, 1, 13, 5, 9, 49, 179, 337, 0, 0, 0, 0},
  {1, 3, 7, 1, 21, 21, 127, 197, 257, 0, 0, 0, 0},
  {1, 3, 5, 9, 11, 19, 29, 175, 179, 0, 0, 0, 0},
  {1, 3, 3, 9, 13, 43, 1, 217, 47, 0, 0, 0, 0},
  {1, 1, 3, 9, 25, 13, 99, 249, 385, 0, 0, 0, 0},
  {1, 3, 1, 9, 9, 13, 53, 195, 23, 0, 0, 0, 0},
  {1, 3, 5, 9, 7, 41, 83, 95, 117, 0, 0, 0, 0},
  {1, 1, 7, 13, 7, 25, 15, 63, 369, 0, 0, 0, 0},
  {1, 3, 1, 11, 27, 31, 31, 19, 425, 0, 0, 0, 0},
  {1, 3, 7, 3, 15, 9, 73, 7, 207, 0, 0, 0, 0},
  {1, 3, 5, 5, 25, 11, 115, 5, 433, 0, 0, 0, 0},
  {1, 1, 1, 11, 15, 19, 35, 75, 301, 0, 0, 0, 0},
  {1, 3, 7, 11, 21, 5, 21, 217, 147, 0, 0, 0, 0},
  {1, 1, 3, 13, 17, 53, 89, 245, 333, 0, 0, 0, 0},
  {1, 3, 1, 5, 19, 37, 5, 111, 85, 0, 0, 0, 0},
  {1, 1, 7, 3, 19, 7, 1, 189, 221, 519, 0, 0, 0},
  {1, 1, 1, 15, 21, 51, 91, 165, 423, 307, 0, 0, 0},
  {1, 3, 7, 1, 5, 45, 53, 169, 49, 931, 0, 0, 0},
  {1, 3, 3, 11, 11, 7, 35, 141, 3, 1023, 0, 0, 0},
  {1, 1, 3, 11, 3, 7, 95, 221, 43, 517, 0, 0, 0},
  {1, 3, 5, 7, 5, 61, 83, 249, 229, 771, 0, 0, 0},
  {1, 3, 7, 13, 29, 23, 19, 159, 227, 151, 0, 0, 0},
  {1, 1, 3, 15, 31, 45, 85, 253, 201, 1023, 0, 0, 0},
  {1, 1, 3, 11, 29, 7, 55, 207, 383, 539, 0, 0, 0},
  {1, 1, 5, 13, 5, 59, 51, 249, 281, 725, 0, 0, 0},
  {1, 3, 1, 9, 5, 41, 101, 219, 229, 45, 0, 0, 0},
  {1, 3, 3, 11, 1, 1, 33, 23, 207, 927, 0, 0, 0},
  {1, 1, 3, 15, 31, 29, 41, 49, 21, 707, 0, 0, 0},
  {1, 3, 1, 15, 27, 61, 55, 127, 343, 29, 0, 0, 0},
  {1, 3, 3, 13, 11, 37, 45, 237, 251, 125, 0, 0, 0},
  {1, 1, 5, 3, 13, 27, 95, 5, 397, 371, 0, 0, 0},
  {1, 3, 1, 15, 1, 47, 61, 25, 173, 275, 0, 0, 0},
  {1, 1, 3, 7, 3, 15, 27, 177, 507, 279, 0, 0, 0},
  {1, 1, 3, 9, 7, 31, 37, 37, 421, 817, 0, 0, 0},
  {1, 3, 3, 11, 11, 35, 89, 103, 443, 389, 0, 0, 0},
  {1, 3, 7, 13, 7, 31, 75, 65, 399, 453, 0, 0, 0},
  {1, 3, 1, 11, 3, 17, 57, 167, 53, 989, 0, 0, 0},
  {1, 1, 1, 9, 23, 51, 61, 81, 345, 1015, 0, 0, 0},
  {1, 1, 7, 9, 13, 13, 15, 87, 77, 29, 0, 0, 0},
  {1, 1, 3, 5, 31, 25, 117, 119, 385, 169, 0, 0, 0},
  {1, 3, 1, 13, 17, 45, 15, 45, 317, 743, 0, 0, 0},
  {1, 1, 3, 9, 1, 5, 21, 79, 155, 99, 0, 0, 0},
  {1, 1, 7, 1, 27, 5, 27, 143, 187, 923, 0, 0, 0},
  {1, 3, 5, 13, 11, 33, 25, 57, 269, 981, 0, 0, 0},
  {1, 1, 5, 7, 25, 39, 27, 79, 501, 181, 0, 0, 0},
  {1, 1, 7, 7, 1, 5, 123, 187, 19, 693, 0, 0, 0},
  {1, 3, 5, 7, 23, 47, 39, 143, 169, 309, 0, 0, 0},
  {1, 3, 5, 7, 29, 29, 109, 183, 235, 227, 0, 0, 0},
  {1, 1, 3, 7, 17, 35, 93, 75, 415, 111, 0, 0, 0},
  {1, 3, 1, 5, 25, 47, 51, 97, 61, 219, 0, 0, 0},
  {1, 1, 3, 9, 7, 63, 21, 211, 247, 897, 0, 0, 0},
  {1, 3, 3, 7, 25, 45, 91, 149, 183, 377, 0, 0, 0},
  {1, 3, 3, 13, 27, 37, 109, 175, 5, 425, 0, 0, 0},
  {1, 3, 1, 11, 17, 47, 107, 37, 257, 609, 0, 0, 0},
  {1, 3, 3, 9, 13, 59, 45, 135, 401, 227, 0, 0, 0},
  {1, 1, 3, 11, 17, 21, 15, 189, 451, 19, 0, 0, 0},
  {1, 1, 7, 15, 23, 59, 93, 225, 95, 221, 0, 0, 0},
  {1, 1, 3, 3, 5, 33, 127, 241, 455, 143, 0, 0, 0},
  {1, 3, 3, 13, 17, 51, 3, 63, 49, 581, 0, 0, 0},
  {1, 3, 1, 11, 5, 9, 53, 33, 489, 147, 0, 0, 0},
  {1, 1, 7, 1, 13, 27, 81, 43, 75, 919, 0, 0, 0},
  {1, 1, 5, 11, 11, 13, 79, 13, 459, 127, 0, 0, 0},
  {1, 3, 1, 3, 21, 25, 107, 73, 377, 725, 0, 0, 0},
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  {1, 1, 1, 3, 25, 17, 113, 123, 499, 499, 981, 2043, 7703},
  {1, 3, 7, 7, 19, 57, 97, 185, 251, 435, 153, 3887, 7223},
  {1, 1, 1, 1, 27, 29, 73, 27, 239, 769, 1515, 351, 6525},
  {1, 1, 1, 9, 9, 27, 89, 55, 81, 75, 47, 2865, 5891},
  {1, 1, 5, 7, 27, 23, 79, 245, 167, 203, 1553, 369, 5605},
  {1, 1, 1, 15, 13, 47, 49, 61, 391, 793, 599, 1377, 4433},
  {1, 3, 7, 9, 15, 41, 61, 75, 255, 985, 225, 2639, 3533},
  {1, 1, 5, 9, 29, 29, 105, 205, 317, 343, 1147, 1261, 5267},
  {1, 3, 3, 3, 23, 19, 13, 213, 363, 955, 381, 3625, 5125},
  {1, 1, 7, 11, 13, 47, 99, 169, 359, 735, 135, 3279, 5037},
  {1, 1, 3, 15, 25, 41, 53, 163, 395, 523, 821, 2201, 225},
  {1, 3, 5, 7, 25, 25, 71, 63, 419, 659, 1965, 2949, 6717},
  {1, 1, 3, 1, 17, 5, 7, 55, 307, 703, 609, 3049, 1121},
  {1, 3, 1, 3, 19, 51, 87, 49, 251, 303, 1033, 449, 5741},
  {1, 1, 1, 1, 17, 43, 21, 83, 267, 421, 983, 1297, 2013},
  {1, 3, 5, 1, 15, 39, 101, 195, 171, 951, 503, 897, 4327},
  {1, 3, 5, 1, 27, 29, 5, 51, 461, 405, 1117, 1891, 4839},
  {1, 3, 1, 9, 3, 7, 71, 31, 183, 631, 327, 411, 569},
  {1, 3, 7, 1, 25, 31, 31, 41, 465, 825, 453, 2773, 5227},
  {1, 3, 7, 5, 17, 45, 123, 15, 165, 735, 2005, 749, 7677},
  {1, 3, 3, 15, 27, 51, 121, 203, 163, 433, 1257, 2753, 4315},
  {1, 1, 7, 15, 3, 49, 121, 41, 293, 841, 343, 1825, 2391},
  {1, 3, 3, 7, 27, 55, 73, 63, 477, 485, 1649, 853, 5551},
  {1, 3, 7, 5, 31, 17, 79, 127, 223, 49, 1199, 2775, 859},
  {1, 3, 1, 5, 23, 43, 115, 161, 403, 749, 599, 3547, 3627},
  {1, 3, 5, 7, 13, 49, 13, 5, 389, 107, 1877, 3923, 6377},
  {1, 1, 1, 9, 31, 45, 39, 143, 97, 669, 569, 3923, 3903},
  {1, 3, 5, 7, 11, 9, 101, 7, 335, 211, 695, 987, 4311},
  {1, 3, 3, 15, 15, 29, 19, 199, 357, 497, 1587, 3723, 6527},
  {1, 1, 7, 13, 7, 3, 37, 251, 297, 143, 1475, 2189, 7573},
  {1, 3, 3, 13, 21, 5, 51, 95, 19, 99, 187, 3877, 4905},
  {1, 3, 5, 11, 19, 47, 83, 75, 469, 57, 973, 3577, 7731},
  {1, 3, 7, 1, 27, 9, 97, 101, 501, 277, 233, 297, 1909},
  {1, 3, 7, 9, 19, 15, 55, 15, 249, 969, 511, 2763, 1555},
  {1, 3, 7, 11, 21, 19, 81, 43, 85, 107, 51, 1845, 3279},
  {1, 1, 3, 1, 29, 51, 91, 237, 213, 397, 1083, 3083, 1949},
  {1, 1, 3, 13, 7, 45, 127, 197, 311, 563, 665, 2951, 1887},
  {1, 1, 1, 1, 31, 57, 105, 117, 265, 551, 1321, 483, 6675},
  {1, 1, 1, 7, 13, 63, 89, 167, 379, 447, 531, 2169, 5509},
  {1, 3, 5, 15, 9, 9, 63, 155, 297, 381, 1875, 3985, 2033},
  {1, 3, 5, 15, 9, 21, 47, 21, 283, 187, 1939, 245, 5473},
  {1, 3, 3, 5, 7, 59, 49, 83, 393, 57, 859, 3655, 3539},
  {1, 1, 7, 5, 21, 3, 75, 205, 449, 405, 1507, 3441, 5033},
  {1, 3, 1, 1, 13, 9, 37, 255, 463, 731, 1979, 1023, 5935},
  {1, 3, 1, 11, 11, 13, 77, 49, 289, 769, 1203, 235, 6095},
  {1, 1, 1, 3, 9, 45, 15, 101, 159, 923, 1965, 835, 4761},
  {1, 1, 3, 9, 11, 23, 49, 213, 289, 955, 737, 3693, 1771},
  {1, 3, 5, 11, 29, 15, 107, 237, 499, 915, 921, 3585, 1271},
  {1, 3, 3, 9, 19, 31, 23, 135, 407, 737, 1565, 327, 1717},
  {1, 1, 1, 9, 11, 21, 23, 135, 129, 595, 1943, 1003, 4415},
  {1, 1, 1, 9, 19, 15, 35, 21, 137, 341, 819, 543, 5083},
  {1, 3, 3, 1, 21, 51, 19, 73, 221, 253, 223, 3059, 6277},
  {1, 3, 3, 9, 5, 35, 69, 93, 43, 823, 365, 2637, 3147},
  {1, 1, 7, 3, 29, 9, 17, 115, 89, 197, 167, 2923, 7695},
  {1, 3, 5, 5, 13, 11, 59, 7, 403, 321, 1705, 87, 2461},
  {1, 1, 1, 15, 7, 61, 63, 85, 271, 315, 413, 3617, 4783},
  {1, 1, 1, 1, 19, 23, 73, 223, 75, 181, 1577, 1031, 4539},
  {1, 3, 3, 1, 19, 53, 29, 237, 83, 885, 745, 1043, 5833},
  {1, 1, 7, 9, 27, 29, 125, 79, 445, 497, 1573, 903, 5583},
  {1, 3, 1, 7, 23, 51, 61, 89, 453, 159, 655, 2913, 651},
  {1, 3, 5, 3, 31, 45, 65, 5, 389, 571, 1633, 2177, 1419},
  {1, 3, 7, 3, 1, 31, 95, 57, 149, 981, 1003, 2641, 2605},
  {1, 3, 3, 1, 27, 29, 101, 239, 143, 899, 91, 3279, 5511},
  {1, 3, 7, 9, 21, 5, 81, 67, 423, 785, 1123, 389, 3913},
  {1, 1, 5, 9, 7, 35, 57, 65, 499, 947, 477, 2009, 5795},
  {1, 3, 5, 11, 3, 29, 69, 201, 317, 217, 1741, 525, 2333},
  {1, 1, 7, 9, 7, 53, 83, 155, 445, 217, 1663, 4085, 2329},
  {1, 1, 3, 9, 11, 35, 37, 71, 157, 135, 35, 3299, 4431},
  {1, 3, 5, 13, 23, 17, 11, 85, 137, 753, 715, 987, 3725},
  {1, 3, 3, 13, 13, 59, 37, 195, 453, 623, 37, 2409, 6069},
  {1, 3, 1, 3, 29, 55, 95, 89, 163, 565, 1513, 813, 2699},
  {1, 3, 5, 13, 11, 27, 1, 181, 87, 717, 815, 2683, 7055},
  {1, 1, 3, 11, 31, 51, 73, 119, 23, 903, 941, 373, 6879},
  {1, 3, 1, 13, 19, 59, 27, 135, 391, 581, 1379, 2695, 1017},
  {1, 1, 1, 5, 1, 27, 29, 147, 119, 955, 263, 3775, 3121},
  {1, 1, 7, 1, 5, 47, 57, 237, 427, 621, 1831, 2375, 2547},
  {1, 3, 5, 5, 5, 15, 7, 173, 323, 361, 1735, 1119, 4603},
  {1, 3, 1, 5, 11, 29, 65, 41, 173, 869, 1111, 2791, 2385},
  {1, 3, 7, 9, 5, 37, 83, 155, 89, 87, 1449, 223, 6915},
  {1, 3, 3, 9, 3, 7, 99, 67, 259, 943, 353, 325, 6103},
  {1, 3, 7, 3, 27, 49, 69, 113, 377, 907, 1941, 587, 5669},
  {1, 3, 5, 13, 5, 55, 19, 111, 511, 853, 1655, 1379, 7833},
  {1, 1, 1, 13, 7, 5, 103, 21, 249, 353, 1349, 2877, 2001},
  {1, 1, 7, 9, 11, 19, 43, 183, 31, 335, 877, 2867, 4287},
  {1, 3, 1, 15, 31, 45, 95, 23, 363, 197, 285, 3793, 6619},
  {1, 1, 7, 9, 1, 29, 25, 103, 229, 771, 1723, 655, 955},
  {1, 3, 7, 11, 27, 19, 19, 207, 353, 433, 125, 831, 2761},
  {1, 1, 1, 7, 31, 57, 103, 253, 329, 743, 1753, 3425, 5711},
  {1, 1, 1, 11, 31, 33, 41, 69, 493, 195, 985, 1663, 6291},
  {1, 3, 7, 9, 23, 53, 125, 219, 427, 91, 723, 1681, 3415},
  {1, 1, 1, 13, 5, 45, 97, 205, 57, 1023, 175, 2657, 3909},
  {1, 1, 5, 9, 21, 21, 71, 195, 205, 63, 439, 1865, 2841},
  {1, 1, 5, 1, 27, 9, 105, 43, 389, 301, 791, 3943, 5627},
  {1, 1, 1, 15, 9, 3, 83, 197, 91, 647, 1051, 2977, 4939},
  {1, 3, 1, 9, 25, 35, 83, 229, 83, 205, 1261, 1979, 7671},
  {1, 3, 7, 7, 3, 29, 61, 139, 13, 485, 717, 2271, 6059},
  {1, 1, 5, 7, 15, 43, 39, 177, 219, 927, 1555, 3247, 6275},
  {1, 1, 7, 1, 19, 31, 9, 129, 439, 1003, 1757, 1267, 6517},
  {1, 3, 1, 7, 1, 39, 45, 69, 45, 987, 1777, 1747, 1931},
  {1, 1, 5, 9, 19, 3, 117, 97, 35, 359, 577, 811, 4583},
  {1, 1, 3, 9, 9, 45, 63, 201, 371, 577, 1583, 159, 7301},
  {1, 1, 5, 15, 5, 1, 31, 163, 441, 147, 1957, 429, 1267},
  {1, 3, 3, 1, 25, 41, 5, 189, 17, 141, 873, 2001, 7509},
  {1, 1, 3, 11, 21, 29, 117, 11, 267, 1017, 331, 1195, 1435},
  {1, 3, 7, 1, 15, 5, 67, 99, 501, 701, 1163, 3065, 2169},
  {1, 1, 1, 13, 25, 59, 125, 91, 53, 273, 313, 553, 6939},
  {1, 1, 5, 13, 29, 41, 41, 253, 25, 89, 1, 1499, 3515},
  {1, 3, 1, 15, 15, 33, 117, 239, 333, 589, 1963, 3529, 2985},
  {1, 3, 1, 9, 21, 35, 43, 91, 17, 487, 963, 1081, 2787},
  {1, 1, 5, 13, 11, 27, 77, 145, 201, 859, 1905, 2877, 2123},
  {1, 3, 5, 7, 19, 19, 97, 19, 475, 343, 821, 3077, 1969},
  {1, 1, 3, 15, 15, 13, 15, 179, 257, 91, 1677, 845, 3307},
  {1, 1, 3, 3, 3, 25, 29, 231, 417, 847, 185, 1793, 353},
  {1, 3, 7, 9, 7, 27, 5, 121, 345, 341, 709, 2409, 4359},
  {1, 3, 5, 3, 13, 43, 59, 7, 381, 173, 545, 3995, 7059},
  {1, 3, 5, 1, 11, 33, 25, 225, 377, 287, 1723, 2559, 5273},
  {1, 3, 1, 13, 25, 35, 63, 237, 55, 1003, 215, 4081, 5873},
  {1, 3, 1, 7, 17, 17, 87, 125, 403, 289, 1885, 1195, 6657},
  {1, 1, 1, 5, 1, 17, 39, 191, 77, 639, 1249, 2955, 6765},
  {1, 3, 3, 9, 5, 23, 39, 119, 389, 983, 583, 1117, 6229},
  {1, 1, 1, 3, 31, 7, 77, 59, 347, 685, 1803, 1409, 3179},
  {1, 1, 5, 1, 13, 35, 85, 175, 363, 697, 839, 785, 1583},
  {1, 1, 7, 7, 29, 15, 37, 237, 211, 35, 885, 287, 6237},
  {1, 3, 7, 1, 23, 61, 81, 131, 413, 701, 485, 1521, 2155},
  {1, 1, 1, 1, 9, 61, 73, 79, 419, 645, 413, 1607, 371},
  {1, 1, 7, 13, 5, 53, 89, 43, 5, 911, 1767, 85, 273},
  {1, 1, 5, 3, 29, 5, 29, 45, 167, 501, 425, 3055, 7491},
  {1, 3, 7, 3, 7, 15, 125, 205, 219, 705, 129, 3123, 3309},
  {1, 1, 3, 11, 17, 23, 109, 199, 201, 873, 1035, 2533, 6805},
  {1, 1, 7, 1, 27, 11, 21, 251, 285, 763, 329, 2329, 3015},
  {1, 3, 3, 7, 7, 13, 23, 153, 425, 745, 1263, 3477, 6831},
  {1, 1, 1, 13, 17, 43, 119, 207, 11, 657, 1881, 799, 7819},
  {1, 3, 3, 15, 31, 55, 105, 37, 77, 559, 1779, 3683, 713},
  {1, 3, 7, 15, 9, 47, 43, 179, 269, 699, 1565, 3715, 4747},
  {1, 3, 3, 5, 31, 25, 93, 113, 489, 315, 359, 337, 3935},
  {1, 3, 1, 7, 9, 43, 97, 255, 281, 347, 367, 3139, 4109},
  {1, 3, 5, 13, 9, 15, 15, 107, 403, 429, 453, 3311, 1311},
  {1, 1, 5, 13, 7, 57, 125, 217, 79, 197, 707, 431, 709},
  {1, 1, 3, 15, 21, 45, 29, 61, 425, 165, 1419, 3511, 3089},
  {1, 1, 5, 11, 3, 1, 51, 7, 125, 955, 831, 2299, 7059},
  {1, 3, 1, 13, 3, 49, 69, 181, 81, 859, 1889, 365, 4247},
  {1, 3, 3, 1, 3, 63, 37, 247, 331, 167, 887, 2941, 2989},
  {1, 3, 5, 13, 9, 57, 45, 31, 437, 303, 1871, 3067, 1509},
  {1, 3, 5, 13, 11, 15, 31, 13, 271, 833, 1869, 1331, 4919},
  {1, 1, 5, 3, 21, 31, 75, 113, 397, 531, 747, 1081, 1841},
  {1, 3, 1, 9, 11, 31, 109, 145, 299, 473, 223, 1097, 3045},
  {1, 3, 1, 15, 31, 7, 119, 107, 475, 635, 1547, 2853, 3821},
  {1, 3, 7, 15, 9, 53, 53, 233, 271, 641, 1799, 2299, 6929},
  {1, 3, 7, 11, 25, 27, 5, 233, 249, 195, 433, 495, 4655},
  {1, 1, 1, 15, 5, 15, 101, 43, 413, 589, 1441, 1745, 1333},
  {1, 1, 5, 9, 1, 47, 125, 79, 233, 821, 553, 749, 6429},
  {1, 3, 5, 15, 31, 23, 121, 23, 261, 205, 2021, 3819, 6649},
  {1, 3, 1, 1, 13, 7, 35, 169, 495, 3, 1303, 619, 2131},
  {1, 3, 3, 13, 29, 29, 29, 137, 171, 635, 1505, 1059, 5265},
  {1, 1, 5, 15, 9, 53, 7, 129, 69, 371, 1735, 3559, 1051},
  {1, 3, 1, 1, 29, 47, 63, 183, 27, 891, 1619, 183, 261},
  {1, 1, 5, 1, 1, 9, 17, 53, 409, 249, 1065, 3743, 8057},
  {1, 1, 3, 5, 11, 53, 63, 91, 21, 123, 1161, 723, 3379},
  {1, 3, 5, 11, 19, 3, 13, 55, 421, 77, 2047, 949, 2179},
  {1, 3, 3, 5, 7, 25, 69, 103, 367, 623, 347, 3501, 1993},
  {1, 1, 3, 1, 27, 55, 15, 223, 81, 993, 867, 733, 5655},
  {1, 3, 7, 11, 13, 45, 105, 87, 483, 401, 881, 2599, 3063},
  {1, 3, 5, 11, 31, 63, 51, 177, 255, 525, 1447, 3983, 6381},
  {1, 1, 7, 5, 7, 21, 127, 157, 15, 427, 329, 3961, 3587},
  {1, 1, 3, 3, 31, 17, 105, 79, 219, 71, 781, 911, 7417},
  {1, 1, 7, 9, 7, 23, 9, 213, 365, 655, 1065, 1899, 1579},
  {1, 1, 3, 1, 25, 31, 57, 139, 497, 951, 219, 985, 1541},
  {1, 1, 1, 3, 23, 27, 95, 183, 181, 357, 589, 2493, 2107},
  {1, 3, 3, 5, 21, 27, 59, 231, 75, 851, 645, 1795, 5085},
  {1, 1, 7, 13, 29, 43, 109, 205, 431, 899, 1257, 653, 2873},
  {1, 1, 7, 9, 11, 63, 35, 143, 99, 535, 1833, 157, 6141},
  {1, 3, 3, 7, 11, 55, 49, 129, 325, 493, 749, 433, 955},
  {1, 3, 3, 7, 13, 63, 23, 243, 407, 323, 1841, 2361, 3537},
  {1, 1, 1, 1, 11, 45, 33, 205, 229, 1003, 1733, 3093, 2157},
  {1, 1, 1, 9, 27, 51, 107, 93, 281, 343, 1179, 3119, 841},
  {1, 1, 3, 9, 1, 15, 55, 59, 63, 515, 1191, 3679, 1999},
  {1, 3, 3, 15, 23, 27, 33, 15, 83, 859, 1025, 2367, 1465},
  {1, 1, 3, 7, 31, 5, 57, 89, 493, 1017, 1639, 1701, 5171},
  {1, 1, 3, 5, 21, 37, 79, 9, 5, 5, 1955, 1445, 5651},
  {1, 3, 3, 5, 23, 43, 73, 11, 113, 423, 1423, 1321, 1535},
  {1, 3, 5, 15, 21, 11, 69, 47, 15, 315, 1685, 2397, 7235},
  {1, 1, 5, 13, 19, 27, 59, 133, 271, 1011, 1711, 1241, 4349},
  {1, 3, 3, 9, 31, 5, 107, 227, 37, 703, 493, 3305, 1263},
  {1, 3, 3, 7, 5, 27, 55, 75, 87, 41, 549, 3985, 1453},
  {1, 3, 3, 13, 31, 59, 11, 9, 451, 777, 783, 2349, 1005},
  {1, 3, 1, 3, 25, 21, 63, 91, 299, 163, 1653, 4067, 6893},
  {1, 3, 3, 13, 25, 7, 95, 19, 83, 95, 397, 3805, 2919},
  {1, 3, 5, 11, 19, 39, 103, 171, 451, 831, 895, 3073, 1947},
  {1, 3, 7, 13, 17, 27, 23, 163, 311, 79, 233, 2837, 1635},
  {1, 3, 7, 7, 11, 63, 125, 79, 441, 975, 759, 1567, 3963},
  {1, 1, 1, 9, 25, 35, 91, 7, 47, 235, 1505, 3783, 397},
  {1, 1, 5, 13, 7, 47, 31, 103, 455, 633, 677, 451, 969},
  {1, 3, 7, 13, 13, 55, 91, 5, 47, 723, 1449, 2441, 4569},
  {1, 3, 3, 13, 1, 17, 51, 119, 253, 297, 1573, 1181, 655},
  {1, 1, 7, 15, 29, 17, 65, 155, 13, 589, 1297, 487, 6737},
  {1, 1, 1, 9, 17, 17, 61, 75, 109, 317, 1821, 543, 2995},
  {1, 3, 1, 5, 23, 3, 75, 11, 369, 679, 1691, 1201, 7235},
  {1, 1, 3, 5, 15, 19, 69, 71, 347, 981, 791, 3735, 7713},
  {1, 3, 5, 3, 7, 21, 107, 95, 11, 195, 289, 2517, 973},
  {1, 3, 7, 3, 29, 13, 65, 17, 409, 399, 1187, 733, 4821},
  {1, 3, 5, 3, 17, 49, 101, 13, 275, 1003, 867, 1535, 2377},
  {1, 3, 3, 1, 13, 61, 59, 243, 63, 121, 1535, 2175, 1673},
  {1, 3, 3, 3, 3, 39, 35, 207, 441, 501, 575, 3613, 1},
  {1, 1, 3, 15, 17, 15, 15, 187, 15, 155, 183, 3019, 6541}
};

} // namespace sobol_utils
} // namespace native
} // namespace at
