cuda-samples/Samples/SobolQRNG/sobol_primitives.cpp
2021-10-21 16:34:49 +05:30

10274 lines
976 KiB
C++

/* Copyright (c) 2021, NVIDIA CORPORATION. All rights reserved.
*
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*
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/*
* Portions Copyright (c) 2009 Mike Giles, Oxford University. All rights
* reserved.
* Portions Copyright (c) 2008 Frances Y. Kuo and Stephen Joe. All rights
* reserved.
*
* Sobol Quasi-random Number Generator example
*
* Based on CUDA code submitted by Mike Giles, Oxford University, United Kingdom
* http://people.maths.ox.ac.uk/~gilesm/
*
* and C code developed by Stephen Joe, University of Waikato, New Zealand
* and Frances Kuo, University of New South Wales, Australia
* http://web.maths.unsw.edu.au/~fkuo/sobol/
*
* For theoretical background see:
*
* P. Bratley and B.L. Fox.
* Implementing Sobol's quasirandom sequence generator
* http://portal.acm.org/citation.cfm?id=42288
* ACM Trans. on Math. Software, 14(1):88-100, 1988
*
* S. Joe and F. Kuo.
* Remark on algorithm 659: implementing Sobol's quasirandom sequence generator.
* http://portal.acm.org/citation.cfm?id=641879
* ACM Trans. on Math. Software, 29(1):49-57, 2003
*
*/
#include "sobol_primitives.h"
// Each primitive is stored as a struct where
// dimension is the dimension number of the polynomial (unused)
// degree is the degree of the polynomial
// a is a binary word representing the coefficients
// m is the array of m values
// The primitives are based on those generated by Stephen Joe and
// Frances Kuo in the joe-kuo-6.10200 set.
// c.f. http://web.maths.unsw.edu.au/~fkuo/sobol/index.html
const struct primitive sobol_primitives[] =
{
// First dimension is a special case so this entry is actually ignored
{1, 0, 0, {}},
{2, 1, 0, {1}},
{3, 2, 1, {1, 3}},
{4, 3, 1, {1, 3, 1}},
{5, 3, 2, {1, 1, 1}},
{6, 4, 1, {1, 1, 3, 3}},
{7, 4, 4, {1, 3, 5, 13}},
{8, 5, 2, {1, 1, 5, 5, 17}},
{9, 5, 4, {1, 1, 5, 5, 5}},
{10, 5, 7, {1, 1, 7, 11, 19}},
{11, 5, 11, {1, 1, 5, 1, 1}},
{12, 5, 13, {1, 1, 1, 3, 11}},
{13, 5, 14, {1, 3, 5, 5, 31}},
{14, 6, 1, {1, 3, 3, 9, 7, 49}},
{15, 6, 13, {1, 1, 1, 15, 21, 21}},
{16, 6, 16, {1, 3, 1, 13, 27, 49}},
{17, 6, 19, {1, 1, 1, 15, 7, 5}},
{18, 6, 22, {1, 3, 1, 15, 13, 25}},
{19, 6, 25, {1, 1, 5, 5, 19, 61}},
{20, 7, 1, {1, 3, 7, 11, 23, 15, 103}},
{21, 7, 4, {1, 3, 7, 13, 13, 15, 69}},
{22, 7, 7, {1, 1, 3, 13, 7, 35, 63}},
{23, 7, 8, {1, 3, 5, 9, 1, 25, 53}},
{24, 7, 14, {1, 3, 1, 13, 9, 35, 107}},
{25, 7, 19, {1, 3, 1, 5, 27, 61, 31}},
{26, 7, 21, {1, 1, 5, 11, 19, 41, 61}},
{27, 7, 28, {1, 3, 5, 3, 3, 13, 69}},
{28, 7, 31, {1, 1, 7, 13, 1, 19, 1}},
{29, 7, 32, {1, 3, 7, 5, 13, 19, 59}},
{30, 7, 37, {1, 1, 3, 9, 25, 29, 41}},
{31, 7, 41, {1, 3, 5, 13, 23, 1, 55}},
{32, 7, 42, {1, 3, 7, 3, 13, 59, 17}},
{33, 7, 50, {1, 3, 1, 3, 5, 53, 69}},
{34, 7, 55, {1, 1, 5, 5, 23, 33, 13}},
{35, 7, 56, {1, 1, 7, 7, 1, 61, 123}},
{36, 7, 59, {1, 1, 7, 9, 13, 61, 49}},
{37, 7, 62, {1, 3, 3, 5, 3, 55, 33}},
{38, 8, 14, {1, 3, 1, 15, 31, 13, 49, 245}},
{39, 8, 21, {1, 3, 5, 15, 31, 59, 63, 97}},
{40, 8, 22, {1, 3, 1, 11, 11, 11, 77, 249}},
{41, 8, 38, {1, 3, 1, 11, 27, 43, 71, 9}},
{42, 8, 47, {1, 1, 7, 15, 21, 11, 81, 45}},
{43, 8, 49, {1, 3, 7, 3, 25, 31, 65, 79}},
{44, 8, 50, {1, 3, 1, 1, 19, 11, 3, 205}},
{45, 8, 52, {1, 1, 5, 9, 19, 21, 29, 157}},
{46, 8, 56, {1, 3, 7, 11, 1, 33, 89, 185}},
{47, 8, 67, {1, 3, 3, 3, 15, 9, 79, 71}},
{48, 8, 70, {1, 3, 7, 11, 15, 39, 119, 27}},
{49, 8, 84, {1, 1, 3, 1, 11, 31, 97, 225}},
{50, 8, 97, {1, 1, 1, 3, 23, 43, 57, 177}},
{51, 8, 103, {1, 3, 7, 7, 17, 17, 37, 71}},
{52, 8, 115, {1, 3, 1, 5, 27, 63, 123, 213}},
{53, 8, 122, {1, 1, 3, 5, 11, 43, 53, 133}},
{54, 9, 8, {1, 3, 5, 5, 29, 17, 47, 173, 479}},
{55, 9, 13, {1, 3, 3, 11, 3, 1, 109, 9, 69}},
{56, 9, 16, {1, 1, 1, 5, 17, 39, 23, 5, 343}},
{57, 9, 22, {1, 3, 1, 5, 25, 15, 31, 103, 499}},
{58, 9, 25, {1, 1, 1, 11, 11, 17, 63, 105, 183}},
{59, 9, 44, {1, 1, 5, 11, 9, 29, 97, 231, 363}},
{60, 9, 47, {1, 1, 5, 15, 19, 45, 41, 7, 383}},
{61, 9, 52, {1, 3, 7, 7, 31, 19, 83, 137, 221}},
{62, 9, 55, {1, 1, 1, 3, 23, 15, 111, 223, 83}},
{63, 9, 59, {1, 1, 5, 13, 31, 15, 55, 25, 161}},
{64, 9, 62, {1, 1, 3, 13, 25, 47, 39, 87, 257}},
{65, 9, 67, {1, 1, 1, 11, 21, 53, 125, 249, 293}},
{66, 9, 74, {1, 1, 7, 11, 11, 7, 57, 79, 323}},
{67, 9, 81, {1, 1, 5, 5, 17, 13, 81, 3, 131}},
{68, 9, 82, {1, 1, 7, 13, 23, 7, 65, 251, 475}},
{69, 9, 87, {1, 3, 5, 1, 9, 43, 3, 149, 11}},
{70, 9, 91, {1, 1, 3, 13, 31, 13, 13, 255, 487}},
{71, 9, 94, {1, 3, 3, 1, 5, 63, 89, 91, 127}},
{72, 9, 103, {1, 1, 3, 3, 1, 19, 123, 127, 237}},
{73, 9, 104, {1, 1, 5, 7, 23, 31, 37, 243, 289}},
{74, 9, 109, {1, 1, 5, 11, 17, 53, 117, 183, 491}},
{75, 9, 122, {1, 1, 1, 5, 1, 13, 13, 209, 345}},
{76, 9, 124, {1, 1, 3, 15, 1, 57, 115, 7, 33}},
{77, 9, 137, {1, 3, 1, 11, 7, 43, 81, 207, 175}},
{78, 9, 138, {1, 3, 1, 1, 15, 27, 63, 255, 49}},
{79, 9, 143, {1, 3, 5, 3, 27, 61, 105, 171, 305}},
{80, 9, 145, {1, 1, 5, 3, 1, 3, 57, 249, 149}},
{81, 9, 152, {1, 1, 3, 5, 5, 57, 15, 13, 159}},
{82, 9, 157, {1, 1, 1, 11, 7, 11, 105, 141, 225}},
{83, 9, 167, {1, 3, 3, 5, 27, 59, 121, 101, 271}},
{84, 9, 173, {1, 3, 5, 9, 11, 49, 51, 59, 115}},
{85, 9, 176, {1, 1, 7, 1, 23, 45, 125, 71, 419}},
{86, 9, 181, {1, 1, 3, 5, 23, 5, 105, 109, 75}},
{87, 9, 182, {1, 1, 7, 15, 7, 11, 67, 121, 453}},
{88, 9, 185, {1, 3, 7, 3, 9, 13, 31, 27, 449}},
{89, 9, 191, {1, 3, 1, 15, 19, 39, 39, 89, 15}},
{90, 9, 194, {1, 1, 1, 1, 1, 33, 73, 145, 379}},
{91, 9, 199, {1, 3, 1, 15, 15, 43, 29, 13, 483}},
{92, 9, 218, {1, 1, 7, 3, 19, 27, 85, 131, 431}},
{93, 9, 220, {1, 3, 3, 3, 5, 35, 23, 195, 349}},
{94, 9, 227, {1, 3, 3, 7, 9, 27, 39, 59, 297}},
{95, 9, 229, {1, 1, 3, 9, 11, 17, 13, 241, 157}},
{96, 9, 230, {1, 3, 7, 15, 25, 57, 33, 189, 213}},
{97, 9, 234, {1, 1, 7, 1, 9, 55, 73, 83, 217}},
{98, 9, 236, {1, 3, 3, 13, 19, 27, 23, 113, 249}},
{99, 9, 241, {1, 3, 5, 3, 23, 43, 3, 253, 479}},
{100, 9, 244, {1, 1, 5, 5, 11, 5, 45, 117, 217}},
{101, 9, 253, {1, 3, 3, 7, 29, 37, 33, 123, 147}},
{102, 10, 4, {1, 3, 1, 15, 5, 5, 37, 227, 223, 459}},
{103, 10, 13, {1, 1, 7, 5, 5, 39, 63, 255, 135, 487}},
{104, 10, 19, {1, 3, 1, 7, 9, 7, 87, 249, 217, 599}},
{105, 10, 22, {1, 1, 3, 13, 9, 47, 7, 225, 363, 247}},
{106, 10, 50, {1, 3, 7, 13, 19, 13, 9, 67, 9, 737}},
{107, 10, 55, {1, 3, 5, 5, 19, 59, 7, 41, 319, 677}},
{108, 10, 64, {1, 1, 5, 3, 31, 63, 15, 43, 207, 789}},
{109, 10, 69, {1, 1, 7, 9, 13, 39, 3, 47, 497, 169}},
{110, 10, 98, {1, 3, 1, 7, 21, 17, 97, 19, 415, 905}},
{111, 10, 107, {1, 3, 7, 1, 3, 31, 71, 111, 165, 127}},
{112, 10, 115, {1, 1, 5, 11, 1, 61, 83, 119, 203, 847}},
{113, 10, 121, {1, 3, 3, 13, 9, 61, 19, 97, 47, 35}},
{114, 10, 127, {1, 1, 7, 7, 15, 29, 63, 95, 417, 469}},
{115, 10, 134, {1, 3, 1, 9, 25, 9, 71, 57, 213, 385}},
{116, 10, 140, {1, 3, 5, 13, 31, 47, 101, 57, 39, 341}},
{117, 10, 145, {1, 1, 3, 3, 31, 57, 125, 173, 365, 551}},
{118, 10, 152, {1, 3, 7, 1, 13, 57, 67, 157, 451, 707}},
{119, 10, 158, {1, 1, 1, 7, 21, 13, 105, 89, 429, 965}},
{120, 10, 161, {1, 1, 5, 9, 17, 51, 45, 119, 157, 141}},
{121, 10, 171, {1, 3, 7, 7, 13, 45, 91, 9, 129, 741}},
{122, 10, 181, {1, 3, 7, 1, 23, 57, 67, 141, 151, 571}},
{123, 10, 194, {1, 1, 3, 11, 17, 47, 93, 107, 375, 157}},
{124, 10, 199, {1, 3, 3, 5, 11, 21, 43, 51, 169, 915}},
{125, 10, 203, {1, 1, 5, 3, 15, 55, 101, 67, 455, 625}},
{126, 10, 208, {1, 3, 5, 9, 1, 23, 29, 47, 345, 595}},
{127, 10, 227, {1, 3, 7, 7, 5, 49, 29, 155, 323, 589}},
{128, 10, 242, {1, 3, 3, 7, 5, 41, 127, 61, 261, 717}},
{129, 10, 251, {1, 3, 7, 7, 17, 23, 117, 67, 129, 1009}},
{130, 10, 253, {1, 1, 3, 13, 11, 39, 21, 207, 123, 305}},
{131, 10, 265, {1, 1, 3, 9, 29, 3, 95, 47, 231, 73}},
{132, 10, 266, {1, 3, 1, 9, 1, 29, 117, 21, 441, 259}},
{133, 10, 274, {1, 3, 1, 13, 21, 39, 125, 211, 439, 723}},
{134, 10, 283, {1, 1, 7, 3, 17, 63, 115, 89, 49, 773}},
{135, 10, 289, {1, 3, 7, 13, 11, 33, 101, 107, 63, 73}},
{136, 10, 295, {1, 1, 5, 5, 13, 57, 63, 135, 437, 177}},
{137, 10, 301, {1, 1, 3, 7, 27, 63, 93, 47, 417, 483}},
{138, 10, 316, {1, 1, 3, 1, 23, 29, 1, 191, 49, 23}},
{139, 10, 319, {1, 1, 3, 15, 25, 55, 9, 101, 219, 607}},
{140, 10, 324, {1, 3, 1, 7, 7, 19, 51, 251, 393, 307}},
{141, 10, 346, {1, 3, 3, 3, 25, 55, 17, 75, 337, 3}},
{142, 10, 352, {1, 1, 1, 13, 25, 17, 65, 45, 479, 413}},
{143, 10, 361, {1, 1, 7, 7, 27, 49, 99, 161, 213, 727}},
{144, 10, 367, {1, 3, 5, 1, 23, 5, 43, 41, 251, 857}},
{145, 10, 382, {1, 3, 3, 7, 11, 61, 39, 87, 383, 835}},
{146, 10, 395, {1, 1, 3, 15, 13, 7, 29, 7, 505, 923}},
{147, 10, 398, {1, 3, 7, 1, 5, 31, 47, 157, 445, 501}},
{148, 10, 400, {1, 1, 3, 7, 1, 43, 9, 147, 115, 605}},
{149, 10, 412, {1, 3, 3, 13, 5, 1, 119, 211, 455, 1001}},
{150, 10, 419, {1, 1, 3, 5, 13, 19, 3, 243, 75, 843}},
{151, 10, 422, {1, 3, 7, 7, 1, 19, 91, 249, 357, 589}},
{152, 10, 426, {1, 1, 1, 9, 1, 25, 109, 197, 279, 411}},
{153, 10, 428, {1, 3, 1, 15, 23, 57, 59, 135, 191, 75}},
{154, 10, 433, {1, 1, 5, 15, 29, 21, 39, 253, 383, 349}},
{155, 10, 446, {1, 3, 3, 5, 19, 45, 61, 151, 199, 981}},
{156, 10, 454, {1, 3, 5, 13, 9, 61, 107, 141, 141, 1}},
{157, 10, 457, {1, 3, 1, 11, 27, 25, 85, 105, 309, 979}},
{158, 10, 472, {1, 3, 3, 11, 19, 7, 115, 223, 349, 43}},
{159, 10, 493, {1, 1, 7, 9, 21, 39, 123, 21, 275, 927}},
{160, 10, 505, {1, 1, 7, 13, 15, 41, 47, 243, 303, 437}},
{161, 10, 508, {1, 1, 1, 7, 7, 3, 15, 99, 409, 719}},
{162, 11, 2, {1, 3, 3, 15, 27, 49, 113, 123, 113, 67, 469}},
{163, 11, 11, {1, 3, 7, 11, 3, 23, 87, 169, 119, 483, 199}},
{164, 11, 21, {1, 1, 5, 15, 7, 17, 109, 229, 179, 213, 741}},
{165, 11, 22, {1, 1, 5, 13, 11, 17, 25, 135, 403, 557, 1433}},
{166, 11, 35, {1, 3, 1, 1, 1, 61, 67, 215, 189, 945, 1243}},
{167, 11, 49, {1, 1, 7, 13, 17, 33, 9, 221, 429, 217, 1679}},
{168, 11, 50, {1, 1, 3, 11, 27, 3, 15, 93, 93, 865, 1049}},
{169, 11, 56, {1, 3, 7, 7, 25, 41, 121, 35, 373, 379, 1547}},
{170, 11, 61, {1, 3, 3, 9, 11, 35, 45, 205, 241, 9, 59}},
{171, 11, 70, {1, 3, 1, 7, 3, 51, 7, 177, 53, 975, 89}},
{172, 11, 74, {1, 1, 3, 5, 27, 1, 113, 231, 299, 759, 861}},
{173, 11, 79, {1, 3, 3, 15, 25, 29, 5, 255, 139, 891, 2031}},
{174, 11, 84, {1, 3, 1, 1, 13, 9, 109, 193, 419, 95, 17}},
{175, 11, 88, {1, 1, 7, 9, 3, 7, 29, 41, 135, 839, 867}},
{176, 11, 103, {1, 1, 7, 9, 25, 49, 123, 217, 113, 909, 215}},
{177, 11, 104, {1, 1, 7, 3, 23, 15, 43, 133, 217, 327, 901}},
{178, 11, 112, {1, 1, 3, 3, 13, 53, 63, 123, 477, 711, 1387}},
{179, 11, 115, {1, 1, 3, 15, 7, 29, 75, 119, 181, 957, 247}},
{180, 11, 117, {1, 1, 1, 11, 27, 25, 109, 151, 267, 99, 1461}},
{181, 11, 122, {1, 3, 7, 15, 5, 5, 53, 145, 11, 725, 1501}},
{182, 11, 134, {1, 3, 7, 1, 9, 43, 71, 229, 157, 607, 1835}},
{183, 11, 137, {1, 3, 3, 13, 25, 1, 5, 27, 471, 349, 127}},
{184, 11, 146, {1, 1, 1, 1, 23, 37, 9, 221, 269, 897, 1685}},
{185, 11, 148, {1, 1, 3, 3, 31, 29, 51, 19, 311, 553, 1969}},
{186, 11, 157, {1, 3, 7, 5, 5, 55, 17, 39, 475, 671, 1529}},
{187, 11, 158, {1, 1, 7, 1, 1, 35, 47, 27, 437, 395, 1635}},
{188, 11, 162, {1, 1, 7, 3, 13, 23, 43, 135, 327, 139, 389}},
{189, 11, 164, {1, 3, 7, 3, 9, 25, 91, 25, 429, 219, 513}},
{190, 11, 168, {1, 1, 3, 5, 13, 29, 119, 201, 277, 157, 2043}},
{191, 11, 173, {1, 3, 5, 3, 29, 57, 13, 17, 167, 739, 1031}},
{192, 11, 185, {1, 3, 3, 5, 29, 21, 95, 27, 255, 679, 1531}},
{193, 11, 186, {1, 3, 7, 15, 9, 5, 21, 71, 61, 961, 1201}},
{194, 11, 191, {1, 3, 5, 13, 15, 57, 33, 93, 459, 867, 223}},
{195, 11, 193, {1, 1, 1, 15, 17, 43, 127, 191, 67, 177, 1073}},
{196, 11, 199, {1, 1, 1, 15, 23, 7, 21, 199, 75, 293, 1611}},
{197, 11, 213, {1, 3, 7, 13, 15, 39, 21, 149, 65, 741, 319}},
{198, 11, 214, {1, 3, 7, 11, 23, 13, 101, 89, 277, 519, 711}},
{199, 11, 220, {1, 3, 7, 15, 19, 27, 85, 203, 441, 97, 1895}},
{200, 11, 227, {1, 3, 1, 3, 29, 25, 21, 155, 11, 191, 197}},
{201, 11, 236, {1, 1, 7, 5, 27, 11, 81, 101, 457, 675, 1687}},
{202, 11, 242, {1, 3, 1, 5, 25, 5, 65, 193, 41, 567, 781}},
{203, 11, 251, {1, 3, 1, 5, 11, 15, 113, 77, 411, 695, 1111}},
{204, 11, 256, {1, 1, 3, 9, 11, 53, 119, 171, 55, 297, 509}},
{205, 11, 259, {1, 1, 1, 1, 11, 39, 113, 139, 165, 347, 595}},
{206, 11, 265, {1, 3, 7, 11, 9, 17, 101, 13, 81, 325, 1733}},
{207, 11, 266, {1, 3, 1, 1, 21, 43, 115, 9, 113, 907, 645}},
{208, 11, 276, {1, 1, 7, 3, 9, 25, 117, 197, 159, 471, 475}},
{209, 11, 292, {1, 3, 1, 9, 11, 21, 57, 207, 485, 613, 1661}},
{210, 11, 304, {1, 1, 7, 7, 27, 55, 49, 223, 89, 85, 1523}},
{211, 11, 310, {1, 1, 5, 3, 19, 41, 45, 51, 447, 299, 1355}},
{212, 11, 316, {1, 3, 1, 15, 1, 35, 119, 135, 427, 93, 1311}},
{213, 11, 319, {1, 3, 1, 15, 31, 39, 121, 145, 129, 903, 333}},
{214, 11, 322, {1, 1, 5, 3, 29, 7, 9, 11, 395, 119, 873}},
{215, 11, 328, {1, 3, 5, 11, 27, 29, 5, 117, 469, 31, 1811}},
{216, 11, 334, {1, 1, 7, 15, 21, 25, 71, 15, 89, 1021, 679}},
{217, 11, 339, {1, 3, 7, 9, 21, 39, 51, 111, 327, 809, 845}},
{218, 11, 341, {1, 3, 3, 13, 3, 33, 79, 17, 183, 599, 1859}},
{219, 11, 345, {1, 1, 7, 9, 31, 9, 1, 5, 353, 395, 833}},
{220, 11, 346, {1, 3, 5, 7, 3, 53, 81, 133, 155, 355, 1559}},
{221, 11, 362, {1, 3, 5, 5, 31, 13, 89, 195, 357, 769, 889}},
{222, 11, 367, {1, 1, 7, 1, 9, 21, 77, 31, 269, 857, 923}},
{223, 11, 372, {1, 1, 1, 11, 11, 27, 61, 185, 329, 685, 325}},
{224, 11, 375, {1, 1, 1, 5, 11, 31, 71, 79, 293, 29, 17}},
{225, 11, 376, {1, 1, 7, 7, 7, 41, 65, 167, 67, 153, 1305}},
{226, 11, 381, {1, 3, 3, 5, 23, 45, 109, 205, 191, 649, 749}},
{227, 11, 385, {1, 1, 7, 7, 17, 1, 73, 211, 19, 797, 1009}},
{228, 11, 388, {1, 1, 5, 9, 23, 15, 117, 213, 183, 477, 1301}},
{229, 11, 392, {1, 1, 5, 13, 23, 35, 55, 151, 267, 883, 1479}},
{230, 11, 409, {1, 1, 1, 7, 5, 43, 77, 11, 149, 297, 329}},
{231, 11, 415, {1, 1, 7, 15, 3, 41, 55, 123, 219, 499, 377}},
{232, 11, 416, {1, 3, 3, 1, 27, 7, 113, 141, 173, 379, 1087}},
{233, 11, 421, {1, 3, 1, 9, 7, 25, 45, 49, 415, 329, 483}},
{234, 11, 428, {1, 1, 7, 7, 7, 15, 75, 191, 305, 757, 813}},
{235, 11, 431, {1, 3, 7, 5, 31, 15, 21, 247, 29, 297, 1015}},
{236, 11, 434, {1, 3, 1, 13, 3, 41, 69, 235, 431, 515, 1889}},
{237, 11, 439, {1, 1, 5, 7, 31, 5, 69, 193, 229, 439, 1043}},
{238, 11, 446, {1, 3, 5, 13, 31, 33, 45, 159, 477, 707, 1605}},
{239, 11, 451, {1, 1, 1, 7, 23, 49, 107, 223, 7, 429, 2047}},
{240, 11, 453, {1, 3, 5, 1, 31, 17, 117, 133, 331, 97, 833}},
{241, 11, 457, {1, 3, 1, 11, 7, 31, 103, 5, 299, 601, 981}},
{242, 11, 458, {1, 3, 5, 5, 15, 57, 87, 39, 217, 155, 361}},
{243, 11, 471, {1, 1, 7, 15, 29, 19, 125, 131, 37, 635, 1429}},
{244, 11, 475, {1, 3, 1, 9, 29, 3, 59, 107, 341, 809, 101}},
{245, 11, 478, {1, 1, 5, 15, 9, 37, 113, 225, 139, 165, 393}},
{246, 11, 484, {1, 3, 3, 13, 27, 21, 35, 255, 189, 45, 103}},
{247, 11, 493, {1, 1, 7, 5, 7, 59, 39, 87, 319, 723, 955}},
{248, 11, 494, {1, 3, 1, 1, 9, 23, 83, 47, 413, 445, 787}},
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{479, 12, 2014, {1, 1, 5, 1, 15, 47, 25, 137, 329, 531, 1957, 1933}},
{480, 12, 2014, {1, 3, 1, 11, 23, 37, 67, 123, 181, 567, 893, 2307}},
{481, 12, 2020, {1, 3, 5, 3, 5, 23, 41, 227, 9, 213, 821, 1689}},
{482, 13, 13, {1, 1, 1, 13, 29, 33, 23, 241, 199, 753, 1759, 833, 5261}},
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{484, 13, 26, {1, 1, 7, 5, 27, 49, 7, 125, 365, 513, 1001, 283, 627}},
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{533, 13, 358, {1, 3, 7, 3, 5, 9, 101, 55, 39, 811, 1491, 3725, 6691}},
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{663, 13, 1183, {1, 3, 7, 15, 17, 57, 75, 135, 295, 11, 1415, 1843, 7079}},
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{668, 13, 1214, {1, 1, 7, 9, 29, 55, 85, 179, 385, 645, 1009, 1193, 5643}},
{669, 13, 1216, {1, 1, 5, 15, 29, 11, 77, 147, 453, 655, 469, 2727, 6205}},
{670, 13, 1225, {1, 3, 5, 3, 5, 13, 103, 115, 445, 87, 1803, 601, 5159}},
{671, 13, 1231, {1, 1, 7, 5, 1, 37, 55, 129, 5, 387, 51, 3585, 6771}},
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{677, 13, 1273, {1, 3, 5, 3, 27, 43, 123, 143, 99, 963, 2029, 3759, 1483}},
{678, 13, 1274, {1, 1, 5, 3, 5, 43, 11, 51, 423, 111, 875, 3605, 4023}},
{679, 13, 1281, {1, 1, 1, 15, 25, 11, 89, 21, 425, 585, 1983, 3481, 7329}},
{680, 13, 1287, {1, 3, 7, 3, 1, 5, 107, 29, 285, 929, 663, 319, 3139}},
{681, 13, 1294, {1, 3, 3, 7, 7, 37, 21, 51, 385, 539, 59, 1595, 9}},
{682, 13, 1296, {1, 3, 3, 1, 9, 21, 87, 149, 21, 211, 787, 351, 5597}},
{683, 13, 1305, {1, 3, 1, 11, 1, 41, 21, 65, 7, 83, 693, 1905, 5935}},
{684, 13, 1306, {1, 3, 3, 11, 17, 3, 55, 205, 461, 897, 273, 2849, 1685}},
{685, 13, 1318, {1, 3, 7, 5, 23, 15, 121, 129, 387, 967, 1131, 3451, 3545}},
{686, 13, 1332, {1, 1, 7, 11, 5, 29, 59, 69, 27, 699, 1639, 2137, 6305}},
{687, 13, 1335, {1, 3, 7, 7, 23, 23, 69, 205, 399, 661, 1187, 1639, 5099}},
{688, 13, 1336, {1, 3, 5, 5, 31, 17, 37, 173, 371, 649, 449, 243, 3665}},
{689, 13, 1341, {1, 3, 5, 1, 21, 5, 51, 105, 173, 699, 475, 3489, 7411}},
{690, 13, 1342, {1, 1, 3, 13, 17, 41, 55, 131, 359, 461, 1885, 4045, 3615}},
{691, 13, 1362, {1, 3, 7, 11, 27, 33, 79, 127, 227, 293, 607, 1713, 167}},
{692, 13, 1364, {1, 3, 3, 1, 5, 9, 13, 59, 425, 319, 1813, 2905, 4647}},
{693, 13, 1368, {1, 3, 5, 5, 13, 59, 69, 95, 379, 119, 1175, 1853, 7573}},
{694, 13, 1378, {1, 3, 5, 3, 3, 47, 51, 203, 395, 623, 13, 3369, 663}},
{695, 13, 1387, {1, 1, 5, 3, 3, 39, 107, 203, 125, 627, 1817, 1101, 935}},
{696, 13, 1389, {1, 1, 1, 5, 7, 31, 71, 141, 507, 101, 913, 567, 753}},
{697, 13, 1397, {1, 3, 5, 11, 1, 25, 81, 211, 79, 277, 1445, 783, 5}},
{698, 13, 1401, {1, 1, 7, 3, 7, 9, 63, 87, 335, 413, 1595, 2313, 5883}},
{699, 13, 1408, {1, 1, 1, 11, 21, 61, 87, 119, 155, 259, 1629, 2565, 5975}},
{700, 13, 1418, {1, 3, 1, 3, 29, 59, 57, 205, 65, 779, 1433, 2845, 1311}},
{701, 13, 1425, {1, 3, 3, 3, 29, 59, 1, 125, 493, 25, 315, 1171, 4837}},
{702, 13, 1426, {1, 1, 1, 11, 1, 47, 119, 141, 95, 87, 1497, 3613, 5009}},
{703, 13, 1431, {1, 3, 5, 5, 7, 19, 61, 233, 321, 585, 547, 179, 6787}},
{704, 13, 1435, {1, 3, 1, 7, 15, 29, 51, 177, 189, 435, 89, 2507, 4975}},
{705, 13, 1441, {1, 3, 7, 5, 19, 49, 125, 145, 329, 975, 717, 161, 1099}},
{706, 13, 1444, {1, 3, 3, 13, 1, 21, 81, 63, 263, 597, 1713, 1759, 1745}},
{707, 13, 1462, {1, 1, 3, 9, 17, 61, 19, 119, 229, 25, 1759, 343, 7925}},
{708, 13, 1471, {1, 1, 1, 9, 27, 49, 51, 149, 453, 717, 1791, 2529, 331}},
{709, 13, 1474, {1, 3, 1, 7, 11, 15, 125, 237, 291, 111, 1051, 3739, 3805}},
{710, 13, 1483, {1, 1, 7, 9, 7, 63, 49, 73, 53, 429, 1167, 2019, 911}},
{711, 13, 1485, {1, 3, 5, 5, 29, 17, 3, 193, 243, 29, 2007, 1881, 7143}},
{712, 13, 1494, {1, 3, 3, 3, 5, 19, 127, 149, 57, 601, 1263, 1909, 3835}},
{713, 13, 1497, {1, 1, 1, 5, 25, 43, 21, 115, 193, 735, 571, 401, 1573}},
{714, 13, 1516, {1, 3, 5, 9, 25, 41, 53, 165, 5, 575, 1381, 995, 5851}},
{715, 13, 1522, {1, 1, 5, 15, 21, 43, 25, 125, 49, 207, 345, 2981, 709}},
{716, 13, 1534, {1, 1, 3, 5, 29, 37, 89, 145, 123, 771, 631, 3259, 1431}},
{717, 13, 1543, {1, 1, 3, 3, 1, 37, 67, 243, 335, 913, 1927, 3027, 6059}},
{718, 13, 1552, {1, 1, 5, 15, 11, 31, 61, 59, 511, 543, 1747, 3329, 599}},
{719, 13, 1557, {1, 1, 7, 13, 17, 31, 9, 143, 381, 713, 135, 1037, 5981}},
{720, 13, 1558, {1, 1, 7, 11, 25, 7, 79, 3, 403, 979, 1021, 457, 999}},
{721, 13, 1567, {1, 3, 3, 11, 3, 19, 127, 135, 255, 645, 437, 3793, 5809}},
{722, 13, 1568, {1, 3, 7, 1, 5, 59, 69, 135, 307, 769, 307, 3225, 2869}},
{723, 13, 1574, {1, 3, 5, 3, 9, 33, 121, 41, 245, 1009, 2039, 925, 3341}},
{724, 13, 1592, {1, 3, 3, 15, 19, 23, 55, 155, 389, 817, 475, 1005, 1971}},
{725, 13, 1605, {1, 3, 5, 7, 11, 17, 7, 113, 249, 241, 1149, 2359, 8037}},
{726, 13, 1606, {1, 3, 5, 5, 23, 59, 115, 5, 503, 221, 485, 3857, 4399}},
{727, 13, 1610, {1, 3, 7, 3, 5, 53, 119, 107, 103, 99, 1313, 623, 3073}},
{728, 13, 1617, {1, 3, 1, 13, 7, 21, 85, 47, 345, 355, 607, 2213, 2489}},
{729, 13, 1623, {1, 1, 5, 11, 7, 51, 43, 53, 281, 311, 1221, 3919, 4821}},
{730, 13, 1630, {1, 1, 7, 9, 21, 15, 105, 251, 367, 311, 1247, 2357, 5411}},
{731, 13, 1634, {1, 3, 5, 5, 17, 21, 1, 213, 505, 97, 603, 4057, 6853}},
{732, 13, 1640, {1, 3, 7, 5, 21, 3, 105, 61, 5, 39, 461, 351, 4379}},
{733, 13, 1643, {1, 3, 3, 9, 15, 39, 87, 21, 393, 525, 1699, 2427, 211}},
{734, 13, 1648, {1, 1, 5, 9, 21, 25, 53, 175, 387, 83, 1155, 1225, 5681}},
{735, 13, 1651, {1, 3, 1, 15, 7, 49, 43, 127, 257, 499, 79, 33, 2843}},
{736, 13, 1653, {1, 3, 7, 15, 21, 17, 89, 175, 161, 371, 389, 2289, 7751}},
{737, 13, 1670, {1, 1, 7, 3, 19, 23, 65, 5, 149, 563, 1237, 3445, 6817}},
{738, 13, 1676, {1, 3, 5, 11, 23, 21, 65, 11, 329, 323, 551, 3859, 749}},
{739, 13, 1684, {1, 3, 1, 9, 13, 23, 11, 169, 203, 349, 1733, 2537, 3777}},
{740, 13, 1687, {1, 3, 7, 7, 5, 19, 47, 81, 215, 677, 1861, 2703, 6373}},
{741, 13, 1691, {1, 1, 5, 5, 11, 5, 19, 151, 215, 695, 1347, 1359, 1979}},
{742, 13, 1693, {1, 1, 7, 3, 1, 59, 11, 185, 379, 247, 1885, 1819, 637}},
{743, 13, 1698, {1, 3, 7, 3, 21, 3, 53, 161, 49, 697, 113, 3561, 95}},
{744, 13, 1709, {1, 3, 7, 7, 29, 15, 85, 123, 415, 41, 703, 1501, 6939}},
{745, 13, 1715, {1, 1, 7, 5, 7, 37, 75, 185, 115, 423, 625, 3557, 7851}},
{746, 13, 1722, {1, 1, 1, 7, 11, 35, 119, 131, 331, 197, 1939, 1951, 7957}},
{747, 13, 1732, {1, 1, 5, 3, 9, 43, 93, 11, 97, 483, 131, 1095, 601}},
{748, 13, 1735, {1, 1, 1, 15, 11, 43, 49, 205, 393, 921, 625, 359, 3997}},
{749, 13, 1747, {1, 1, 3, 7, 31, 21, 27, 231, 159, 67, 1127, 2153, 6291}},
{750, 13, 1749, {1, 3, 1, 1, 13, 15, 45, 85, 155, 763, 1341, 9, 6229}},
{751, 13, 1754, {1, 3, 7, 15, 9, 21, 47, 67, 207, 385, 401, 1665, 7849}},
{752, 13, 1777, {1, 1, 5, 9, 13, 59, 89, 163, 19, 997, 2021, 3301, 2945}},
{753, 13, 1784, {1, 1, 3, 15, 17, 9, 33, 117, 33, 701, 73, 2955, 1781}},
{754, 13, 1790, {1, 1, 3, 7, 3, 11, 81, 209, 131, 247, 1927, 3997, 1709}},
{755, 13, 1795, {1, 1, 3, 5, 21, 47, 85, 163, 247, 273, 545, 3477, 4565}},
{756, 13, 1801, {1, 1, 1, 15, 3, 5, 55, 171, 501, 149, 121, 2317, 2023}},
{757, 13, 1802, {1, 1, 5, 1, 25, 31, 25, 171, 471, 149, 49, 3059, 7871}},
{758, 13, 1812, {1, 3, 3, 1, 3, 39, 91, 75, 183, 115, 869, 4005, 1443}},
{759, 13, 1828, {1, 1, 1, 13, 31, 37, 3, 23, 443, 177, 219, 1683, 7063}},
{760, 13, 1831, {1, 1, 1, 11, 17, 51, 111, 157, 455, 415, 1171, 531, 7289}},
{761, 13, 1837, {1, 1, 7, 13, 3, 45, 103, 185, 63, 299, 1471, 3579, 3751}},
{762, 13, 1838, {1, 1, 7, 7, 25, 45, 91, 145, 285, 525, 1675, 665, 883}},
{763, 13, 1840, {1, 3, 7, 5, 23, 23, 33, 47, 271, 65, 1009, 2363, 7231}},
{764, 13, 1845, {1, 3, 1, 11, 25, 3, 13, 105, 105, 649, 531, 535, 6019}},
{765, 13, 1863, {1, 3, 3, 5, 9, 1, 9, 15, 131, 793, 1841, 2249, 5775}},
{766, 13, 1864, {1, 1, 7, 7, 27, 35, 125, 249, 125, 973, 233, 229, 8165}},
{767, 13, 1867, {1, 3, 1, 7, 19, 1, 39, 239, 159, 627, 601, 1537, 7473}},
{768, 13, 1870, {1, 1, 3, 3, 1, 45, 99, 149, 205, 277, 1701, 121, 1577}},
{769, 13, 1877, {1, 3, 7, 15, 9, 43, 7, 139, 331, 995, 647, 2707, 4493}},
{770, 13, 1881, {1, 3, 3, 13, 19, 31, 67, 213, 355, 85, 1829, 2897, 6799}},
{771, 13, 1884, {1, 3, 7, 1, 29, 51, 49, 209, 257, 913, 811, 895, 8051}},
{772, 13, 1903, {1, 1, 3, 3, 31, 33, 19, 37, 297, 473, 1987, 3433, 1981}},
{773, 13, 1917, {1, 1, 1, 13, 1, 3, 127, 183, 241, 941, 973, 577, 6891}},
{774, 13, 1918, {1, 1, 7, 15, 31, 21, 125, 193, 23, 731, 493, 3173, 4381}},
{775, 13, 1922, {1, 3, 3, 13, 23, 31, 65, 59, 63, 285, 1191, 3005, 2211}},
{776, 13, 1924, {1, 1, 3, 3, 13, 11, 121, 153, 199, 359, 1159, 363, 3477}},
{777, 13, 1928, {1, 1, 3, 3, 29, 27, 105, 215, 143, 365, 369, 3341, 5017}},
{778, 13, 1931, {1, 1, 5, 9, 23, 43, 119, 89, 307, 607, 1087, 287, 7305}},
{779, 13, 1951, {1, 1, 7, 3, 19, 9, 115, 133, 387, 717, 687, 3447, 201}},
{780, 13, 1952, {1, 3, 1, 1, 23, 7, 81, 77, 483, 725, 1499, 1565, 8073}},
{781, 13, 1957, {1, 3, 1, 9, 23, 25, 119, 247, 195, 205, 1851, 2463, 6827}},
{782, 13, 1958, {1, 3, 5, 9, 17, 51, 11, 233, 115, 719, 1333, 3829, 4941}},
{783, 13, 1964, {1, 1, 3, 13, 25, 17, 103, 241, 133, 237, 1375, 4005, 7853}},
{784, 13, 1967, {1, 3, 7, 1, 19, 31, 115, 193, 305, 1, 1167, 325, 985}},
{785, 13, 1970, {1, 1, 3, 15, 13, 11, 33, 27, 453, 941, 293, 2819, 3247}},
{786, 13, 1972, {1, 3, 3, 3, 11, 27, 37, 95, 371, 441, 1347, 13, 4219}},
{787, 13, 1994, {1, 3, 1, 11, 31, 39, 17, 63, 323, 1013, 479, 4077, 313}},
{788, 13, 2002, {1, 3, 7, 15, 3, 59, 121, 19, 43, 351, 285, 2239, 8117}},
{789, 13, 2007, {1, 1, 3, 3, 7, 7, 13, 31, 403, 925, 789, 275, 6959}},
{790, 13, 2008, {1, 1, 1, 9, 3, 11, 89, 195, 393, 301, 517, 1675, 963}},
{791, 13, 2023, {1, 3, 1, 13, 17, 63, 79, 17, 127, 119, 1127, 2121, 7545}},
{792, 13, 2030, {1, 3, 5, 5, 29, 15, 97, 183, 157, 319, 1047, 895, 7297}},
{793, 13, 2035, {1, 3, 1, 3, 25, 37, 101, 233, 275, 705, 1147, 1511, 231}},
{794, 13, 2038, {1, 3, 1, 11, 3, 63, 45, 219, 315, 905, 9, 3105, 785}},
{795, 13, 2042, {1, 1, 3, 1, 17, 27, 89, 15, 337, 981, 403, 1609, 349}},
{796, 13, 2047, {1, 3, 1, 5, 27, 21, 39, 209, 461, 211, 71, 1413, 1185}},
{797, 13, 2051, {1, 1, 3, 1, 11, 9, 19, 229, 403, 323, 1651, 475, 1207}},
{798, 13, 2058, {1, 3, 7, 5, 31, 13, 39, 9, 365, 857, 1715, 3831, 2467}},
{799, 13, 2060, {1, 1, 7, 1, 31, 41, 25, 101, 297, 143, 345, 2097, 1679}},
{800, 13, 2071, {1, 3, 5, 7, 27, 61, 77, 107, 291, 265, 759, 933, 2529}},
{801, 13, 2084, {1, 3, 7, 11, 15, 51, 31, 191, 39, 469, 1711, 1215, 7603}},
{802, 13, 2087, {1, 1, 5, 13, 19, 27, 121, 235, 475, 11, 1193, 543, 5689}},
{803, 13, 2099, {1, 3, 5, 11, 19, 1, 97, 85, 393, 971, 1915, 3487, 7569}},
{804, 13, 2108, {1, 3, 7, 9, 21, 25, 81, 197, 9, 403, 1305, 2977, 6261}},
{805, 13, 2111, {1, 3, 3, 15, 5, 3, 5, 91, 133, 957, 437, 3821, 4395}},
{806, 13, 2120, {1, 3, 7, 7, 23, 47, 85, 139, 511, 389, 461, 2967, 7305}},
{807, 13, 2128, {1, 3, 5, 5, 13, 3, 33, 171, 391, 109, 197, 2097, 5357}},
{808, 13, 2138, {1, 3, 7, 15, 31, 61, 7, 61, 175, 455, 1867, 2829, 197}},
{809, 13, 2143, {1, 3, 7, 13, 21, 33, 119, 97, 297, 69, 1503, 2887, 3785}},
{810, 13, 2144, {1, 3, 3, 7, 1, 63, 105, 53, 443, 775, 1855, 2635, 4453}},
{811, 13, 2153, {1, 1, 7, 11, 1, 13, 99, 227, 421, 739, 583, 4011, 2095}},
{812, 13, 2156, {1, 1, 7, 11, 7, 21, 125, 45, 411, 621, 137, 259, 3401}},
{813, 13, 2162, {1, 3, 3, 7, 9, 15, 47, 213, 71, 725, 2015, 3119, 3295}},
{814, 13, 2167, {1, 1, 7, 7, 21, 63, 83, 63, 29, 969, 119, 3535, 989}},
{815, 13, 2178, {1, 3, 3, 9, 13, 15, 71, 83, 209, 191, 1049, 3423, 5829}},
{816, 13, 2183, {1, 3, 1, 11, 27, 7, 65, 107, 387, 853, 919, 1257, 719}},
{817, 13, 2202, {1, 3, 1, 9, 29, 63, 115, 91, 181, 217, 1097, 1023, 3641}},
{818, 13, 2211, {1, 1, 3, 7, 7, 57, 37, 209, 99, 959, 693, 1573, 3407}},
{819, 13, 2214, {1, 3, 7, 7, 9, 51, 51, 127, 153, 977, 1565, 1329, 4603}},
{820, 13, 2223, {1, 3, 5, 3, 9, 57, 7, 225, 139, 515, 1355, 191, 659}},
{821, 13, 2225, {1, 3, 3, 3, 7, 45, 85, 231, 153, 93, 371, 2753, 5331}},
{822, 13, 2232, {1, 1, 5, 5, 1, 9, 45, 29, 131, 203, 31, 1219, 1635}},
{823, 13, 2237, {1, 1, 1, 11, 5, 13, 115, 51, 471, 987, 1937, 3921, 7885}},
{824, 13, 2257, {1, 1, 7, 3, 1, 23, 49, 183, 495, 427, 1397, 3383, 3459}},
{825, 13, 2260, {1, 1, 7, 1, 23, 39, 3, 205, 447, 603, 1213, 667, 1039}},
{826, 13, 2267, {1, 1, 1, 5, 7, 63, 27, 169, 403, 775, 241, 3951, 3411}},
{827, 13, 2274, {1, 1, 3, 1, 7, 1, 63, 185, 197, 813, 1757, 2687, 7289}},
{828, 13, 2276, {1, 1, 7, 3, 21, 21, 97, 73, 73, 147, 1905, 2391, 3743}},
{829, 13, 2285, {1, 3, 7, 1, 29, 45, 27, 93, 71, 749, 337, 7, 3959}},
{830, 13, 2288, {1, 3, 3, 9, 25, 13, 61, 131, 183, 409, 1547, 1261, 5541}},
{831, 13, 2293, {1, 1, 7, 9, 9, 13, 13, 115, 87, 587, 1561, 1845, 2383}},
{832, 13, 2294, {1, 3, 3, 3, 13, 19, 99, 75, 435, 815, 251, 1639, 2157}},
{833, 13, 2297, {1, 1, 7, 9, 19, 61, 49, 237, 325, 429, 1019, 2649, 6671}},
{834, 13, 2303, {1, 3, 3, 11, 1, 59, 71, 143, 37, 445, 1289, 2089, 5693}},
{835, 13, 2308, {1, 3, 3, 7, 13, 13, 119, 83, 111, 497, 739, 863, 2009}},
{836, 13, 2311, {1, 3, 5, 1, 3, 21, 89, 27, 171, 121, 1453, 3273, 2891}},
{837, 13, 2318, {1, 3, 5, 5, 29, 19, 79, 77, 343, 969, 1759, 1921, 4189}},
{838, 13, 2323, {1, 1, 1, 3, 21, 55, 99, 49, 435, 697, 559, 3475, 6905}},
{839, 13, 2332, {1, 3, 1, 5, 9, 37, 83, 79, 171, 935, 751, 3293, 299}},
{840, 13, 2341, {1, 1, 3, 13, 13, 45, 35, 159, 283, 451, 495, 3239, 4429}},
{841, 13, 2345, {1, 1, 3, 1, 13, 43, 107, 189, 475, 679, 1843, 33, 6895}},
{842, 13, 2348, {1, 3, 5, 9, 17, 13, 107, 245, 415, 531, 265, 3165, 3189}},
{843, 13, 2354, {1, 3, 1, 3, 31, 29, 103, 233, 31, 445, 649, 3377, 3207}},
{844, 13, 2368, {1, 1, 3, 9, 19, 3, 1, 75, 423, 445, 1351, 2889, 5785}},
{845, 13, 2377, {1, 1, 3, 3, 21, 19, 113, 35, 173, 871, 275, 1901, 6725}},
{846, 13, 2380, {1, 1, 3, 7, 27, 45, 41, 93, 463, 209, 1721, 1863, 7893}},
{847, 13, 2383, {1, 1, 1, 13, 25, 63, 17, 171, 403, 645, 1669, 1663, 4335}},
{848, 13, 2388, {1, 3, 3, 7, 17, 15, 103, 5, 375, 7, 1117, 3851, 651}},
{849, 13, 2395, {1, 1, 1, 15, 29, 43, 13, 241, 403, 349, 685, 987, 4177}},
{850, 13, 2397, {1, 3, 5, 15, 31, 37, 111, 91, 391, 513, 1701, 2861, 4713}},
{851, 13, 2401, {1, 1, 5, 9, 23, 59, 125, 117, 375, 461, 1697, 1283, 7395}},
{852, 13, 2411, {1, 1, 3, 7, 21, 35, 101, 131, 129, 757, 199, 1881, 737}},
{853, 13, 2413, {1, 1, 7, 3, 31, 15, 121, 143, 67, 593, 1143, 3761, 3441}},
{854, 13, 2419, {1, 1, 3, 9, 11, 43, 7, 159, 25, 725, 1169, 1757, 3499}},
{855, 13, 2435, {1, 1, 3, 9, 5, 55, 77, 85, 309, 113, 1419, 1255, 4777}},
{856, 13, 2442, {1, 3, 3, 15, 19, 41, 75, 163, 51, 511, 1785, 4033, 7791}},
{857, 13, 2455, {1, 3, 7, 15, 29, 45, 81, 189, 401, 71, 1597, 3671, 2133}},
{858, 13, 2472, {1, 1, 3, 1, 3, 17, 119, 55, 217, 485, 1217, 1475, 5791}},
{859, 13, 2478, {1, 1, 7, 9, 21, 61, 71, 175, 205, 413, 1645, 2375, 89}},
{860, 13, 2490, {1, 3, 3, 7, 25, 35, 23, 49, 395, 675, 341, 959, 4665}},
{861, 13, 2507, {1, 3, 5, 15, 21, 37, 99, 151, 197, 145, 2043, 755, 2523}},
{862, 13, 2509, {1, 1, 1, 7, 1, 61, 75, 131, 65, 891, 349, 2767, 3855}},
{863, 13, 2517, {1, 3, 5, 9, 29, 57, 61, 79, 303, 997, 1053, 1973, 1547}},
{864, 13, 2524, {1, 1, 3, 7, 19, 9, 57, 197, 253, 597, 1971, 1831, 8097}},
{865, 13, 2528, {1, 3, 1, 9, 3, 13, 29, 169, 25, 957, 1575, 2955, 3549}},
{866, 13, 2531, {1, 1, 5, 11, 17, 37, 79, 91, 11, 687, 1511, 1065, 1539}},
{867, 13, 2538, {1, 1, 1, 7, 1, 59, 1, 49, 23, 73, 881, 1661, 3841}},
{868, 13, 2545, {1, 1, 1, 1, 13, 57, 111, 67, 511, 833, 1095, 15, 569}},
{869, 13, 2546, {1, 3, 1, 5, 17, 33, 1, 161, 311, 29, 685, 729, 5981}},
{870, 13, 2555, {1, 1, 7, 1, 7, 13, 49, 55, 251, 825, 709, 445, 7439}},
{871, 13, 2557, {1, 3, 1, 5, 13, 55, 101, 89, 239, 907, 1559, 1421, 87}},
{872, 13, 2564, {1, 1, 3, 9, 23, 27, 41, 189, 35, 155, 683, 2491, 7495}},
{873, 13, 2573, {1, 3, 5, 3, 5, 47, 39, 161, 279, 945, 365, 15, 4643}},
{874, 13, 2579, {1, 1, 1, 11, 21, 7, 125, 195, 23, 635, 1949, 2237, 1885}},
{875, 13, 2592, {1, 1, 3, 7, 13, 25, 105, 145, 203, 701, 1525, 1391, 1637}},
{876, 13, 2598, {1, 3, 3, 13, 7, 43, 13, 39, 301, 507, 405, 2333, 2405}},
{877, 13, 2607, {1, 1, 5, 15, 25, 19, 31, 67, 81, 781, 1541, 3743, 2787}},
{878, 13, 2612, {1, 1, 1, 11, 15, 7, 87, 129, 151, 225, 655, 1569, 5299}},
{879, 13, 2619, {1, 1, 5, 3, 3, 33, 97, 255, 9, 667, 787, 3557, 5273}},
{880, 13, 2621, {1, 1, 3, 3, 1, 7, 13, 31, 31, 1021, 1863, 2897, 6389}},
{881, 13, 2627, {1, 3, 1, 15, 13, 29, 93, 27, 229, 599, 521, 1631, 3683}},
{882, 13, 2633, {1, 1, 7, 9, 11, 27, 43, 95, 149, 159, 495, 2711, 2189}},
{883, 13, 2636, {1, 1, 7, 9, 11, 51, 43, 121, 299, 73, 1991, 561, 6781}},
{884, 13, 2642, {1, 1, 3, 3, 7, 61, 125, 13, 415, 11, 15, 2463, 385}},
{885, 13, 2654, {1, 3, 5, 1, 27, 23, 1, 47, 149, 371, 1599, 341, 1595}},
{886, 13, 2660, {1, 1, 1, 15, 3, 39, 65, 5, 33, 713, 399, 2935, 3825}},
{887, 13, 2669, {1, 1, 7, 7, 17, 39, 3, 235, 227, 231, 323, 2869, 4747}},
{888, 13, 2675, {1, 1, 5, 9, 13, 11, 41, 155, 393, 701, 909, 2999, 5053}},
{889, 13, 2684, {1, 1, 3, 7, 5, 41, 105, 13, 123, 429, 1455, 2501, 1065}},
{890, 13, 2694, {1, 1, 1, 7, 17, 21, 95, 141, 305, 951, 1305, 3639, 3797}},
{891, 13, 2703, {1, 3, 5, 9, 7, 59, 29, 129, 265, 889, 993, 1411, 2069}},
{892, 13, 2706, {1, 1, 1, 11, 3, 51, 9, 35, 355, 131, 1307, 1547, 701}},
{893, 13, 2712, {1, 1, 7, 3, 17, 57, 113, 197, 483, 831, 1741, 3897, 3649}},
{894, 13, 2715, {1, 1, 5, 11, 1, 33, 7, 243, 95, 905, 1933, 2123, 7381}},
{895, 13, 2722, {1, 3, 3, 15, 5, 37, 1, 235, 77, 375, 1231, 1029, 1839}},
{896, 13, 2727, {1, 1, 5, 3, 31, 11, 103, 245, 373, 103, 25, 1283, 6155}},
{897, 13, 2734, {1, 3, 5, 1, 25, 25, 51, 159, 381, 97, 799, 565, 5165}},
{898, 13, 2742, {1, 1, 7, 13, 25, 21, 109, 3, 253, 459, 623, 2817, 7815}},
{899, 13, 2745, {1, 3, 5, 1, 23, 5, 127, 157, 187, 187, 1383, 2777, 2413}},
{900, 13, 2751, {1, 1, 5, 3, 29, 47, 97, 197, 215, 725, 445, 2111, 1701}},
{901, 13, 2766, {1, 3, 1, 9, 27, 25, 105, 59, 333, 79, 1099, 3695, 5725}},
{902, 13, 2768, {1, 1, 7, 3, 11, 15, 127, 151, 163, 967, 665, 733, 509}},
{903, 13, 2780, {1, 3, 3, 3, 15, 5, 51, 17, 409, 679, 229, 1037, 353}},
{904, 13, 2790, {1, 3, 7, 15, 7, 9, 17, 115, 205, 105, 597, 2913, 1941}},
{905, 13, 2794, {1, 1, 5, 11, 31, 1, 99, 213, 33, 319, 617, 1493, 7287}},
{906, 13, 2796, {1, 3, 5, 5, 21, 31, 115, 43, 309, 217, 1, 3363, 6673}},
{907, 13, 2801, {1, 3, 7, 7, 11, 29, 125, 75, 209, 217, 1749, 1565, 4431}},
{908, 13, 2804, {1, 3, 5, 1, 5, 37, 103, 237, 19, 763, 915, 753, 7479}},
{909, 13, 2807, {1, 3, 3, 9, 11, 59, 9, 133, 455, 683, 251, 963, 3743}},
{910, 13, 2816, {1, 3, 5, 9, 7, 41, 97, 185, 117, 367, 2045, 3013, 6249}},
{911, 13, 2821, {1, 1, 1, 5, 29, 51, 53, 147, 379, 769, 865, 2273, 1755}},
{912, 13, 2831, {1, 3, 1, 7, 13, 61, 125, 153, 297, 385, 1981, 2221, 4209}},
{913, 13, 2834, {1, 1, 7, 15, 7, 33, 41, 43, 201, 819, 129, 757, 4087}},
{914, 13, 2839, {1, 1, 5, 7, 31, 15, 19, 15, 197, 921, 1967, 491, 4911}},
{915, 13, 2845, {1, 1, 1, 13, 21, 25, 119, 123, 255, 155, 1765, 2895, 4201}},
{916, 13, 2852, {1, 3, 5, 9, 1, 63, 57, 193, 327, 455, 1729, 1259, 7483}},
{917, 13, 2856, {1, 3, 5, 1, 5, 19, 71, 255, 257, 477, 1799, 3855, 955}},
{918, 13, 2861, {1, 1, 3, 1, 29, 27, 7, 151, 327, 311, 235, 3599, 6165}},
{919, 13, 2873, {1, 3, 3, 3, 7, 29, 113, 87, 339, 271, 1141, 1111, 7971}},
{920, 13, 2874, {1, 3, 5, 15, 23, 51, 57, 233, 179, 397, 1059, 123, 697}},
{921, 13, 2888, {1, 3, 3, 13, 17, 11, 15, 189, 437, 449, 1533, 2209, 1849}},
{922, 13, 2893, {1, 3, 5, 9, 9, 19, 53, 165, 279, 875, 1223, 1585, 6647}},
{923, 13, 2894, {1, 1, 7, 5, 5, 49, 119, 31, 273, 919, 413, 1531, 6233}},
{924, 13, 2902, {1, 3, 5, 5, 1, 19, 27, 213, 413, 271, 223, 299, 5635}},
{925, 13, 2917, {1, 1, 7, 3, 11, 55, 25, 43, 147, 53, 95, 1849, 7701}},
{926, 13, 2921, {1, 3, 5, 11, 17, 35, 9, 3, 117, 729, 21, 3379, 5963}},
{927, 13, 2922, {1, 3, 1, 7, 23, 25, 45, 103, 181, 677, 1155, 205, 1967}},
{928, 13, 2929, {1, 1, 3, 9, 19, 53, 41, 243, 97, 199, 407, 3299, 5309}},
{929, 13, 2935, {1, 3, 5, 11, 27, 27, 59, 153, 501, 855, 1235, 2295, 5535}},
{930, 13, 2946, {1, 1, 3, 7, 11, 37, 1, 179, 289, 895, 511, 697, 5067}},
{931, 13, 2951, {1, 3, 7, 15, 25, 27, 33, 37, 351, 351, 813, 2239, 1561}},
{932, 13, 2957, {1, 3, 1, 7, 25, 51, 79, 65, 427, 293, 1031, 685, 533}},
{933, 13, 2960, {1, 3, 3, 15, 21, 21, 77, 31, 299, 643, 161, 2991, 7911}},
{934, 13, 2966, {1, 3, 3, 7, 7, 61, 99, 19, 43, 35, 687, 1449, 5211}},
{935, 13, 2972, {1, 3, 1, 5, 5, 59, 101, 175, 149, 799, 439, 19, 7565}},
{936, 13, 2976, {1, 3, 7, 9, 31, 13, 75, 227, 337, 207, 609, 2119, 3539}},
{937, 13, 2979, {1, 1, 1, 11, 3, 59, 1, 139, 425, 583, 263, 2687, 4445}},
{938, 13, 2985, {1, 1, 5, 7, 21, 31, 55, 117, 377, 469, 1907, 3091, 3221}},
{939, 13, 3000, {1, 1, 5, 1, 7, 63, 89, 197, 271, 425, 1493, 2337, 6397}},
{940, 13, 3003, {1, 1, 1, 7, 9, 35, 17, 237, 215, 211, 523, 3095, 1771}},
{941, 13, 3013, {1, 1, 5, 5, 19, 23, 119, 31, 331, 533, 71, 319, 7567}},
{942, 13, 3018, {1, 1, 5, 7, 1, 33, 41, 9, 421, 789, 1305, 3775, 6545}},
{943, 13, 3020, {1, 3, 1, 11, 17, 9, 47, 237, 227, 859, 113, 429, 5399}},
{944, 13, 3025, {1, 3, 5, 11, 25, 29, 15, 1, 73, 1015, 2023, 367, 1523}},
{945, 13, 3042, {1, 1, 5, 11, 19, 31, 121, 243, 411, 717, 671, 1329, 2669}},
{946, 13, 3047, {1, 1, 1, 11, 27, 41, 23, 13, 353, 533, 1627, 1625, 3705}},
{947, 13, 3048, {1, 1, 7, 11, 31, 41, 17, 3, 163, 207, 407, 1475, 5911}},
{948, 13, 3051, {1, 1, 7, 3, 3, 19, 87, 199, 77, 207, 1957, 1691, 5045}},
{949, 13, 3054, {1, 1, 1, 3, 19, 57, 107, 37, 419, 943, 133, 519, 4391}},
{950, 13, 3056, {1, 3, 5, 11, 7, 5, 85, 1, 265, 801, 2025, 2655, 4635}},
{951, 13, 3065, {1, 3, 3, 3, 7, 13, 15, 155, 283, 97, 1311, 607, 2879}},
{952, 13, 3073, {1, 1, 5, 9, 21, 31, 3, 237, 323, 749, 1879, 611, 6763}},
{953, 13, 3074, {1, 3, 5, 9, 19, 51, 25, 39, 7, 973, 837, 105, 1987}},
{954, 13, 3083, {1, 1, 5, 13, 9, 63, 39, 233, 391, 93, 1741, 425, 901}},
{955, 13, 3086, {1, 3, 7, 13, 13, 23, 95, 195, 263, 71, 255, 1839, 4301}},
{956, 13, 3091, {1, 3, 1, 3, 29, 35, 123, 145, 377, 1021, 1361, 2319, 1487}},
{957, 13, 3097, {1, 3, 7, 15, 9, 27, 61, 85, 81, 371, 1803, 3683, 4771}},
{958, 13, 3109, {1, 3, 7, 15, 9, 35, 51, 137, 3, 721, 1269, 2667, 7293}},
{959, 13, 3116, {1, 1, 3, 15, 3, 53, 121, 227, 55, 937, 1623, 2691, 2353}},
{960, 13, 3124, {1, 3, 1, 5, 7, 53, 53, 121, 299, 633, 263, 3651, 3187}},
{961, 13, 3128, {1, 3, 1, 9, 31, 59, 73, 5, 475, 763, 115, 2263, 2475}},
{962, 13, 3153, {1, 3, 3, 7, 13, 15, 49, 227, 285, 41, 1817, 2573, 4991}},
{963, 13, 3160, {1, 3, 5, 3, 17, 7, 29, 93, 253, 527, 657, 1859, 763}},
{964, 13, 3165, {1, 1, 5, 11, 9, 11, 75, 47, 469, 119, 1505, 3807, 2769}},
{965, 13, 3172, {1, 1, 3, 11, 1, 37, 65, 135, 345, 307, 305, 1167, 1767}},
{966, 13, 3175, {1, 3, 3, 13, 5, 33, 9, 245, 271, 123, 1865, 2215, 2791}},
{967, 13, 3184, {1, 1, 3, 1, 9, 23, 3, 21, 149, 923, 1335, 1015, 45}},
{968, 13, 3193, {1, 3, 1, 15, 11, 3, 65, 219, 233, 353, 771, 3961, 1515}},
{969, 13, 3196, {1, 3, 1, 5, 15, 41, 87, 141, 19, 905, 449, 3727, 1875}},
{970, 13, 3200, {1, 1, 7, 9, 11, 15, 53, 151, 243, 279, 1695, 2317, 6661}},
{971, 13, 3203, {1, 3, 3, 7, 19, 51, 31, 157, 79, 399, 465, 661, 1029}},
{972, 13, 3205, {1, 3, 5, 1, 5, 41, 3, 33, 157, 385, 1943, 1851, 3121}},
{973, 13, 3209, {1, 3, 1, 11, 25, 59, 105, 191, 151, 285, 801, 201, 6871}},
{974, 13, 3224, {1, 3, 1, 15, 27, 35, 17, 195, 387, 907, 1905, 2177, 2597}},
{975, 13, 3239, {1, 3, 1, 9, 31, 43, 71, 185, 469, 809, 541, 571, 107}},
{976, 13, 3251, {1, 3, 7, 13, 5, 15, 55, 211, 305, 645, 1317, 2751, 603}},
{977, 13, 3254, {1, 1, 3, 15, 19, 59, 45, 147, 165, 223, 259, 1205, 431}},
{978, 13, 3265, {1, 1, 5, 13, 5, 53, 115, 57, 203, 151, 1039, 871, 3881}},
{979, 13, 3266, {1, 3, 5, 15, 1, 29, 115, 249, 79, 957, 143, 3425, 5769}},
{980, 13, 3275, {1, 1, 7, 15, 15, 15, 117, 181, 363, 17, 1871, 1049, 2997}},
{981, 13, 3280, {1, 1, 3, 7, 23, 11, 77, 123, 149, 1019, 93, 3637, 6975}},
{982, 13, 3283, {1, 1, 1, 7, 5, 51, 77, 89, 121, 155, 1839, 1301, 2771}},
{983, 13, 3286, {1, 3, 7, 7, 7, 39, 33, 69, 169, 535, 1699, 2117, 3233}},
{984, 13, 3301, {1, 3, 5, 7, 3, 59, 81, 113, 261, 627, 79, 227, 7623}},
{985, 13, 3302, {1, 3, 5, 5, 13, 57, 121, 41, 11, 111, 1055, 3313, 3371}},
{986, 13, 3305, {1, 1, 3, 13, 13, 9, 47, 197, 303, 987, 1125, 2461, 5007}},
{987, 13, 3319, {1, 3, 1, 5, 1, 59, 109, 49, 453, 673, 2017, 205, 4673}},
{988, 13, 3323, {1, 3, 1, 13, 19, 43, 95, 247, 475, 193, 1513, 885, 5391}},
{989, 13, 3326, {1, 1, 1, 11, 29, 57, 77, 101, 433, 537, 1681, 2463, 6623}},
{990, 13, 3331, {1, 3, 7, 13, 3, 61, 29, 53, 29, 673, 1037, 3877, 7421}},
{991, 13, 3348, {1, 3, 3, 11, 5, 59, 61, 91, 13, 949, 1093, 1291, 7395}},
{992, 13, 3351, {1, 3, 3, 13, 21, 27, 49, 37, 429, 877, 1247, 2375, 737}},
{993, 13, 3358, {1, 3, 5, 3, 25, 19, 75, 187, 239, 971, 859, 2519, 7323}},
{994, 13, 3368, {1, 3, 3, 7, 25, 19, 11, 223, 75, 801, 313, 2875, 6857}},
{995, 13, 3374, {1, 1, 7, 3, 13, 63, 49, 125, 65, 1005, 1757, 3685, 4385}},
{996, 13, 3376, {1, 3, 1, 15, 5, 41, 95, 231, 505, 907, 751, 3207, 4115}},
{997, 13, 3379, {1, 1, 7, 11, 31, 7, 29, 51, 449, 151, 1821, 3317, 931}},
{998, 13, 3385, {1, 3, 1, 11, 19, 11, 19, 47, 111, 637, 37, 3707, 2599}},
{999, 13, 3386, {1, 3, 7, 5, 23, 27, 65, 217, 491, 129, 1715, 2479, 2015}},
{1000, 13, 3396, {1, 1, 5, 3, 5, 51, 43, 253, 495, 105, 1183, 3409, 1469}},
{1001, 13, 3420, {1, 3, 7, 9, 21, 5, 87, 67, 481, 405, 1967, 2837, 5161}},
{1002, 13, 3423, {1, 1, 7, 3, 29, 25, 15, 211, 233, 301, 1037, 3853, 7115}},
{1003, 13, 3430, {1, 3, 5, 9, 3, 15, 85, 81, 141, 395, 845, 17, 7485}},
{1004, 13, 3433, {1, 3, 5, 3, 21, 37, 39, 93, 461, 615, 1725, 1745, 5137}},
{1005, 13, 3434, {1, 1, 3, 1, 1, 21, 21, 207, 271, 447, 1415, 2507, 3291}},
{1006, 13, 3439, {1, 3, 7, 11, 23, 3, 115, 191, 257, 1015, 463, 1501, 7439}},
{1007, 13, 3442, {1, 1, 7, 11, 3, 53, 101, 221, 9, 225, 1799, 1701, 5669}},
{1008, 13, 3444, {1, 1, 7, 13, 17, 27, 7, 115, 67, 645, 1283, 75, 1881}},
{1009, 13, 3453, {1, 1, 3, 15, 7, 39, 75, 85, 127, 379, 1509, 2215, 5697}},
{1010, 13, 3464, {1, 1, 7, 1, 19, 31, 11, 67, 263, 877, 337, 1655, 1855}},
{1011, 13, 3477, {1, 3, 5, 9, 11, 47, 125, 89, 235, 331, 159, 685, 999}},
{1012, 13, 3478, {1, 3, 7, 3, 23, 39, 59, 69, 221, 291, 725, 2831, 4743}},
{1013, 13, 3482, {1, 3, 7, 11, 1, 43, 127, 235, 143, 329, 1823, 21, 73}},
{1014, 13, 3487, {1, 3, 1, 3, 27, 23, 33, 29, 493, 775, 1873, 1005, 2869}},
{1015, 13, 3497, {1, 3, 3, 9, 3, 31, 63, 249, 353, 849, 5, 2787, 4759}},
{1016, 13, 3500, {1, 3, 3, 11, 15, 15, 73, 159, 433, 35, 1203, 2541, 6713}},
{1017, 13, 3505, {1, 1, 5, 1, 13, 17, 107, 101, 411, 861, 1075, 2161, 3923}},
{1018, 13, 3506, {1, 1, 3, 5, 29, 29, 55, 205, 235, 685, 1445, 2413, 6837}},
{1019, 13, 3511, {1, 1, 1, 13, 13, 1, 125, 37, 331, 33, 47, 2761, 3449}},
{1020, 13, 3512, {1, 1, 7, 3, 17, 21, 21, 93, 145, 423, 1057, 997, 6117}},
{1021, 13, 3515, {1, 3, 3, 13, 25, 47, 13, 159, 41, 907, 1543, 1919, 5547}},
{1022, 13, 3525, {1, 1, 3, 9, 29, 53, 83, 45, 133, 453, 183, 2939, 4945}},
{1023, 13, 3532, {1, 1, 1, 7, 9, 7, 89, 71, 315, 983, 1471, 2475, 7077}},
{1024, 13, 3538, {1, 1, 3, 3, 31, 21, 55, 37, 337, 63, 299, 2415, 153}},
{1025, 13, 3540, {1, 1, 7, 3, 27, 59, 85, 109, 405, 337, 393, 2291, 5423}},
{1026, 13, 3547, {1, 1, 1, 1, 5, 31, 33, 43, 141, 9, 1271, 1749, 6281}},
{1027, 13, 3549, {1, 1, 3, 9, 23, 35, 25, 17, 49, 119, 883, 2907, 3573}},
{1028, 13, 3560, {1, 3, 1, 15, 25, 61, 89, 15, 315, 1015, 563, 1895, 4123}},
{1029, 13, 3571, {1, 3, 3, 7, 15, 53, 61, 225, 381, 217, 163, 4005, 7269}},
{1030, 13, 3577, {1, 3, 7, 5, 1, 59, 13, 201, 53, 629, 1917, 3105, 3047}},
{1031, 13, 3583, {1, 3, 1, 1, 19, 45, 71, 11, 15, 365, 1223, 3861, 5005}},
{1032, 13, 3590, {1, 1, 5, 11, 15, 15, 31, 245, 105, 609, 1051, 1911, 7531}},
{1033, 13, 3593, {1, 3, 7, 11, 27, 5, 79, 31, 201, 347, 1295, 2589, 5179}},
{1034, 13, 3594, {1, 1, 3, 1, 31, 23, 65, 203, 359, 591, 1459, 1941, 2307}},
{1035, 13, 3599, {1, 1, 5, 5, 3, 55, 79, 179, 147, 223, 1011, 1437, 3715}},
{1036, 13, 3601, {1, 1, 5, 11, 23, 19, 57, 241, 363, 729, 1647, 2395, 3237}},
{1037, 13, 3602, {1, 3, 7, 7, 7, 63, 115, 53, 485, 965, 551, 3945, 1535}},
{1038, 13, 3613, {1, 1, 1, 15, 5, 61, 33, 213, 451, 363, 95, 1185, 3633}},
{1039, 13, 3623, {1, 3, 5, 1, 17, 49, 39, 159, 327, 1021, 289, 3375, 8055}},
{1040, 13, 3630, {1, 3, 3, 5, 11, 1, 73, 3, 121, 561, 209, 1913, 4549}},
{1041, 13, 3638, {1, 3, 1, 3, 23, 39, 101, 231, 317, 397, 693, 1579, 3585}},
{1042, 13, 3649, {1, 1, 1, 1, 1, 5, 81, 209, 373, 689, 259, 3167, 1665}},
{1043, 13, 3655, {1, 1, 1, 11, 21, 19, 83, 201, 7, 573, 1563, 1649, 5827}},
{1044, 13, 3662, {1, 3, 5, 1, 31, 35, 53, 149, 185, 925, 701, 3727, 4425}},
{1045, 13, 3667, {1, 1, 5, 7, 19, 11, 67, 47, 19, 789, 1855, 293, 7569}},
{1046, 13, 3669, {1, 1, 5, 13, 25, 55, 25, 187, 405, 1013, 493, 1645, 6753}},
{1047, 13, 3676, {1, 1, 3, 11, 13, 23, 35, 219, 247, 723, 1079, 1523, 7383}},
{1048, 13, 3683, {1, 1, 3, 13, 5, 1, 27, 151, 61, 889, 1911, 3859, 4661}},
{1049, 13, 3700, {1, 3, 1, 7, 15, 59, 57, 157, 333, 367, 245, 3043, 1683}},
{1050, 13, 3709, {1, 3, 7, 11, 15, 53, 107, 81, 287, 637, 557, 315, 4361}},
{1051, 13, 3710, {1, 1, 5, 11, 11, 21, 35, 59, 429, 459, 1439, 639, 6907}},
{1052, 13, 3713, {1, 3, 3, 11, 13, 51, 101, 121, 437, 9, 889, 1907, 5217}},
{1053, 13, 3723, {1, 1, 7, 13, 7, 5, 99, 161, 207, 237, 1547, 403, 2269}},
{1054, 13, 3725, {1, 1, 5, 9, 23, 17, 43, 113, 119, 213, 977, 1197, 1039}},
{1055, 13, 3728, {1, 3, 3, 9, 25, 51, 79, 5, 355, 279, 875, 1947, 1261}},
{1056, 13, 3734, {1, 1, 7, 3, 5, 15, 85, 137, 361, 509, 959, 3227, 3755}},
{1057, 13, 3737, {1, 1, 7, 3, 29, 31, 45, 139, 143, 891, 877, 2195, 4405}},
{1058, 13, 3738, {1, 1, 1, 7, 17, 7, 81, 19, 469, 713, 57, 3559, 4925}},
{1059, 13, 3744, {1, 1, 1, 9, 13, 43, 69, 77, 225, 497, 1263, 1153, 7375}},
{1060, 13, 3750, {1, 1, 5, 7, 15, 19, 67, 75, 207, 851, 1827, 3523, 2159}},
{1061, 13, 3762, {1, 3, 7, 3, 25, 63, 71, 157, 509, 219, 1529, 2513, 1697}},
{1062, 13, 3764, {1, 3, 1, 5, 9, 9, 13, 147, 363, 561, 1707, 2991, 1671}},
{1063, 13, 3774, {1, 3, 1, 15, 13, 55, 77, 27, 427, 277, 725, 2861, 4841}},
{1064, 13, 3776, {1, 1, 5, 15, 25, 55, 21, 135, 221, 965, 1723, 2097, 1277}},
{1065, 13, 3786, {1, 1, 5, 3, 1, 11, 45, 179, 503, 283, 1075, 1283, 7603}},
{1066, 13, 3800, {1, 3, 1, 1, 1, 39, 61, 107, 183, 817, 1577, 1143, 783}},
{1067, 13, 3803, {1, 1, 5, 13, 9, 59, 51, 89, 397, 705, 1081, 3053, 4001}},
{1068, 13, 3809, {1, 3, 3, 11, 25, 53, 3, 125, 419, 827, 1907, 903, 3169}},
{1069, 13, 3816, {1, 3, 5, 9, 1, 3, 119, 153, 353, 315, 1555, 1273, 6605}},
{1070, 13, 3821, {1, 1, 3, 13, 13, 39, 117, 59, 225, 735, 1297, 1281, 8049}},
{1071, 13, 3827, {1, 3, 1, 3, 27, 53, 57, 95, 303, 803, 343, 4021, 5047}},
{1072, 13, 3829, {1, 3, 1, 11, 25, 1, 91, 107, 181, 839, 1691, 3859, 2363}},
{1073, 13, 3836, {1, 1, 7, 1, 19, 45, 23, 37, 345, 675, 5, 3731, 2961}},
{1074, 13, 3842, {1, 3, 1, 11, 13, 47, 19, 43, 221, 1007, 1021, 2967, 6931}},
{1075, 13, 3844, {1, 3, 7, 5, 27, 21, 19, 57, 59, 485, 967, 983, 4989}},
{1076, 13, 3847, {1, 3, 7, 3, 11, 23, 1, 221, 223, 535, 155, 2805, 661}},
{1077, 13, 3853, {1, 1, 7, 5, 3, 49, 127, 75, 215, 517, 1391, 589, 493}},
{1078, 13, 3861, {1, 1, 7, 5, 23, 29, 79, 171, 319, 811, 191, 1131, 7689}},
{1079, 13, 3871, {1, 1, 1, 7, 21, 9, 23, 21, 171, 631, 299, 2295, 5691}},
{1080, 13, 3872, {1, 1, 3, 7, 17, 59, 47, 205, 39, 407, 1107, 1323, 6769}},
{1081, 13, 3881, {1, 3, 7, 1, 9, 33, 117, 249, 167, 631, 717, 3901, 6125}},
{1082, 13, 3890, {1, 3, 7, 9, 31, 11, 75, 125, 417, 803, 1117, 1609, 3263}},
{1083, 13, 3892, {1, 3, 1, 3, 15, 33, 35, 205, 477, 939, 1891, 2579, 2035}},
{1084, 13, 3909, {1, 3, 5, 1, 5, 21, 5, 221, 105, 103, 587, 2111, 5891}},
{1085, 13, 3921, {1, 3, 1, 11, 3, 45, 91, 113, 311, 617, 1629, 1677, 2349}},
{1086, 13, 3934, {1, 1, 7, 13, 27, 17, 69, 11, 75, 545, 1245, 785, 645}},
{1087, 13, 3938, {1, 3, 3, 5, 23, 13, 87, 193, 407, 445, 1299, 81, 2679}},
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{1089, 13, 3950, {1, 3, 7, 1, 31, 49, 21, 61, 269, 265, 25, 3141, 7687}},
{1090, 13, 3952, {1, 3, 3, 13, 27, 39, 65, 69, 453, 203, 461, 1585, 5681}},
{1091, 13, 3964, {1, 1, 3, 3, 23, 19, 63, 97, 339, 83, 671, 433, 5285}},
{1092, 13, 3974, {1, 3, 7, 11, 9, 3, 119, 157, 385, 847, 1159, 1389, 5833}},
{1093, 13, 3980, {1, 1, 5, 5, 31, 51, 39, 247, 71, 815, 1807, 1973, 1841}},
{1094, 13, 3983, {1, 1, 3, 3, 31, 39, 121, 75, 343, 25, 59, 575, 3503}},
{1095, 13, 3986, {1, 1, 5, 11, 23, 17, 35, 33, 437, 1001, 1941, 351, 2949}},
{1096, 13, 3995, {1, 1, 3, 7, 9, 51, 125, 3, 279, 373, 157, 1537, 5547}},
{1097, 13, 3998, {1, 3, 1, 11, 11, 23, 63, 91, 139, 911, 463, 1831, 7325}},
{1098, 13, 4001, {1, 3, 7, 1, 9, 11, 33, 125, 471, 583, 881, 2533, 7173}},
{1099, 13, 4002, {1, 1, 5, 1, 15, 41, 53, 77, 43, 237, 787, 3299, 5131}},
{1100, 13, 4004, {1, 1, 7, 7, 17, 19, 115, 145, 231, 555, 1279, 605, 2977}},
{1101, 13, 4008, {1, 1, 3, 7, 21, 47, 61, 171, 337, 441, 1961, 2815, 4565}},
{1102, 13, 4011, {1, 1, 7, 9, 25, 25, 3, 199, 85, 129, 1853, 3293, 71}},
{1103, 13, 4016, {1, 1, 3, 1, 25, 25, 113, 9, 453, 353, 1955, 1443, 7027}},
{1104, 13, 4033, {1, 3, 3, 11, 9, 35, 89, 149, 335, 485, 37, 1519, 7341}},
{1105, 13, 4036, {1, 3, 7, 15, 27, 1, 119, 175, 181, 353, 1667, 2023, 3239}},
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{1108, 13, 4058, {1, 1, 5, 3, 5, 15, 107, 171, 139, 919, 235, 3047, 3401}},
{1109, 13, 4081, {1, 3, 3, 1, 17, 49, 35, 37, 59, 61, 227, 3175, 4093}},
{1110, 13, 4091, {1, 1, 3, 1, 23, 51, 43, 143, 389, 559, 349, 1933, 6149}},
{1111, 13, 4094, {1, 3, 5, 13, 9, 19, 111, 233, 373, 883, 1653, 1591, 2971}},
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{1113, 14, 28, {1, 1, 1, 7, 1, 63, 23, 73, 469, 893, 773, 3647, 1191, 8731}},
{1114, 14, 41, {1, 3, 3, 9, 17, 9, 85, 137, 53, 793, 439, 2097, 4257, 8439}},
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{1119, 14, 93, {1, 1, 1, 5, 31, 51, 121, 97, 483, 511, 299, 3307, 3363, 12639}},
{1120, 14, 94, {1, 3, 3, 1, 31, 31, 89, 221, 451, 253, 1371, 2457, 573, 4359}},
{1121, 14, 103, {1, 1, 7, 5, 5, 21, 59, 151, 275, 937, 1603, 3337, 3157, 15289}},
{1122, 14, 117, {1, 3, 1, 3, 19, 11, 27, 5, 405, 899, 1315, 3299, 945, 1421}},
{1123, 14, 121, {1, 3, 7, 3, 31, 55, 85, 49, 303, 859, 469, 723, 2221, 4099}},
{1124, 14, 134, {1, 1, 5, 13, 31, 27, 57, 37, 493, 883, 1781, 2915, 6435, 6905}},
{1125, 14, 137, {1, 1, 1, 7, 21, 49, 111, 69, 221, 845, 219, 1257, 7909, 15225}},
{1126, 14, 157, {1, 3, 1, 3, 3, 1, 89, 143, 359, 717, 327, 1063, 3845, 8963}},
{1127, 14, 161, {1, 1, 3, 7, 31, 3, 5, 79, 241, 877, 309, 3735, 1409, 11947}},
{1128, 14, 205, {1, 1, 1, 7, 13, 63, 89, 69, 417, 809, 1251, 3213, 1107, 9143}},
{1129, 14, 206, {1, 3, 7, 9, 21, 3, 17, 231, 273, 545, 1385, 1367, 5491, 7497}},
{1130, 14, 211, {1, 1, 7, 1, 31, 35, 117, 31, 173, 711, 555, 1551, 443, 10469}},
{1131, 14, 214, {1, 1, 5, 9, 3, 61, 55, 31, 321, 517, 47, 1379, 4329, 2305}},
{1132, 14, 218, {1, 1, 5, 15, 15, 13, 23, 153, 209, 115, 913, 2014, 841, 2015}},
{1133, 14, 234, {1, 3, 1, 5, 15, 43, 31, 103, 55, 489, 1003, 2723, 2613, 15743}},
{1134, 14, 236, {1, 3, 5, 3, 31, 45, 21, 37, 453, 99, 1047, 235, 1133, 11199}},
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{1136, 14, 262, {1, 1, 3, 9, 9, 45, 7, 161, 217, 645, 421, 3429, 2941, 5319}},
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{1138, 14, 304, {1, 3, 7, 9, 21, 63, 117, 21, 345, 19, 1357, 611, 6591, 8075}},
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{1141, 14, 334, {1, 1, 1, 13, 25, 7, 45, 143, 61, 591, 455, 3039, 4147, 1695}},
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{1144, 14, 358, {1, 1, 1, 11, 21, 59, 51, 101, 407, 25, 355, 2817, 3323, 14641}},
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{1146, 14, 372, {1, 1, 7, 9, 15, 9, 113, 103, 375, 773, 621, 3035, 4359, 13259}},
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{1208, 14, 1089, {1, 1, 1, 15, 19, 13, 65, 55, 101, 981, 989, 3501, 8125, 8849}},
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{1219, 14, 1306, {1, 3, 1, 3, 27, 19, 101, 215, 165, 887, 1647, 4033, 7709, 15581}},
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{1244, 14, 1519, {1, 1, 3, 13, 7, 31, 99, 63, 289, 123, 617, 3263, 6445, 14101}},
{1245, 14, 1528, {1, 3, 7, 5, 13, 23, 107, 73, 19, 595, 1623, 1583, 15, 10907}},
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{1250, 14, 1571, {1, 1, 7, 5, 19, 49, 59, 159, 5, 595, 75, 1963, 313, 5593}},
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{1254, 14, 1606, {1, 3, 5, 7, 5, 11, 45, 87, 67, 359, 43, 457, 6483, 5165}},
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{1256, 14, 1630, {1, 1, 5, 1, 31, 27, 5, 225, 209, 291, 1047, 3417, 2899, 9691}},
{1257, 14, 1634, {1, 1, 1, 5, 23, 9, 83, 201, 511, 805, 1341, 2791, 4803, 13523}},
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{1275, 14, 1825, {1, 1, 5, 15, 23, 39, 77, 121, 255, 105, 1739, 3511, 2369, 2209}},
{1276, 14, 1828, {1, 3, 5, 11, 5, 23, 11, 29, 501, 753, 1317, 1927, 2127, 7753}},
{1277, 14, 1832, {1, 3, 1, 1, 31, 25, 45, 197, 483, 787, 721, 2227, 4237, 1985}},
{1278, 14, 1845, {1, 3, 7, 7, 1, 53, 51, 235, 255, 517, 1389, 2381, 7845, 8707}},
{1279, 14, 1846, {1, 1, 1, 5, 27, 9, 19, 251, 29, 211, 1665, 1181, 983, 16139}},
{1280, 14, 1857, {1, 1, 5, 11, 21, 35, 39, 47, 445, 685, 773, 3563, 3339, 14855}},
{1281, 14, 1869, {1, 3, 7, 7, 29, 61, 89, 203, 239, 11, 1407, 1529, 3581, 11443}},
{1282, 14, 1897, {1, 3, 3, 5, 19, 21, 3, 253, 437, 755, 1409, 1449, 623, 10533}},
{1283, 14, 1906, {1, 3, 3, 15, 13, 25, 65, 123, 273, 611, 1305, 2751, 5123, 1515}},
{1284, 14, 1908, {1, 1, 3, 5, 13, 63, 79, 139, 253, 917, 19, 1129, 7801, 14215}},
{1285, 14, 1911, {1, 1, 5, 9, 5, 21, 29, 179, 79, 803, 1163, 2481, 3537, 11015}},
{1286, 14, 1934, {1, 3, 5, 1, 9, 51, 35, 241, 473, 291, 147, 3021, 2147, 4437}},
{1287, 14, 1962, {1, 1, 7, 15, 7, 19, 81, 215, 205, 19, 1713, 1347, 7519, 9851}},
{1288, 14, 1967, {1, 1, 7, 1, 9, 49, 35, 219, 73, 479, 559, 1619, 7891, 1221}},
{1289, 14, 1972, {1, 1, 3, 1, 9, 39, 17, 67, 139, 287, 703, 3797, 4263, 10847}},
{1290, 14, 1975, {1, 3, 7, 9, 23, 23, 17, 221, 185, 209, 1827, 3117, 8183, 15405}},
{1291, 14, 1999, {1, 3, 5, 9, 9, 9, 95, 1, 225, 727, 1577, 3947, 7995, 2587}},
{1292, 14, 2004, {1, 1, 5, 7, 5, 29, 89, 193, 427, 1009, 1123, 717, 3191, 14381}},
{1293, 14, 2011, {1, 3, 1, 9, 7, 53, 57, 147, 511, 887, 501, 431, 7537, 363}},
{1294, 14, 2014, {1, 1, 3, 7, 3, 21, 127, 157, 45, 773, 1973, 2577, 6057, 8153}},
{1295, 14, 2037, {1, 3, 3, 9, 31, 63, 23, 47, 365, 369, 97, 1627, 831, 12769}},
{1296, 14, 2051, {1, 3, 5, 9, 5, 61, 53, 131, 447, 281, 1115, 2523, 3789, 11581}},
{1297, 14, 2063, {1, 1, 3, 5, 19, 39, 95, 243, 95, 601, 1385, 2523, 2973, 2759}},
{1298, 14, 2066, {1, 3, 1, 15, 25, 15, 19, 133, 1, 197, 1259, 2501, 2513, 9417}},
{1299, 14, 2094, {1, 1, 7, 1, 13, 49, 47, 61, 167, 971, 835, 2259, 3747, 13077}},
{1300, 14, 2128, {1, 1, 5, 9, 17, 35, 33, 223, 173, 691, 855, 2743, 5383, 2017}},
{1301, 14, 2154, {1, 3, 1, 5, 11, 35, 19, 255, 201, 801, 1921, 2511, 2497, 13317}},
{1302, 14, 2164, {1, 1, 7, 9, 17, 1, 47, 187, 63, 641, 1395, 1591, 6145, 4549}},
{1303, 14, 2198, {1, 1, 1, 1, 11, 35, 55, 167, 75, 801, 257, 2531, 1821, 11325}},
{1304, 14, 2217, {1, 1, 1, 11, 21, 27, 117, 131, 167, 461, 1459, 1, 4847, 4347}},
{1305, 14, 2220, {1, 1, 5, 15, 7, 19, 103, 233, 509, 397, 1147, 1325, 6173, 9643}},
{1306, 14, 2223, {1, 3, 1, 11, 31, 37, 51, 43, 173, 575, 7, 3595, 5865, 7539}},
{1307, 14, 2238, {1, 1, 5, 15, 17, 63, 109, 29, 325, 57, 889, 1197, 7839, 13931}},
{1308, 14, 2245, {1, 1, 5, 15, 3, 19, 105, 251, 447, 451, 925, 1857, 4343, 14273}},
{1309, 14, 2252, {1, 3, 1, 9, 27, 29, 97, 113, 155, 591, 1435, 2175, 4197, 10661}},
{1310, 14, 2258, {1, 3, 1, 3, 9, 11, 33, 107, 187, 463, 1479, 1127, 6699, 2183}},
{1311, 14, 2264, {1, 3, 3, 1, 5, 15, 73, 231, 73, 161, 525, 2265, 619, 8085}},
{1312, 14, 2280, {1, 1, 1, 1, 1, 43, 7, 137, 163, 953, 775, 3839, 7377, 12321}},
{1313, 14, 2285, {1, 1, 3, 3, 27, 57, 11, 131, 407, 41, 173, 2595, 5179, 1455}},
{1314, 14, 2293, {1, 3, 5, 3, 31, 9, 93, 233, 61, 149, 1973, 3493, 5535, 9595}},
{1315, 14, 2294, {1, 1, 5, 9, 1, 37, 13, 71, 451, 645, 51, 3663, 1917, 10641}},
{1316, 14, 2298, {1, 3, 1, 11, 13, 53, 111, 71, 61, 539, 319, 1951, 6763, 751}},
{1317, 14, 2303, {1, 1, 7, 1, 27, 27, 53, 189, 39, 29, 1645, 235, 7643, 15621}},
{1318, 14, 2306, {1, 1, 7, 1, 13, 13, 115, 125, 109, 377, 463, 3819, 7397, 5205}},
{1319, 14, 2311, {1, 1, 3, 9, 29, 59, 61, 145, 187, 875, 1571, 4035, 2861, 10897}},
{1320, 14, 2326, {1, 1, 7, 1, 11, 5, 9, 19, 477, 201, 1061, 1483, 7597, 7161}},
{1321, 14, 2354, {1, 3, 1, 13, 17, 35, 55, 211, 285, 161, 385, 4093, 3685, 3635}},
{1322, 14, 2373, {1, 3, 1, 9, 19, 43, 95, 253, 453, 829, 857, 3913, 4949, 9057}},
{1323, 14, 2380, {1, 1, 1, 13, 3, 45, 57, 185, 7, 457, 1805, 3947, 1515, 4863}},
{1324, 14, 2385, {1, 1, 5, 1, 9, 27, 75, 243, 401, 593, 1669, 3315, 3023, 14677}},
{1325, 14, 2392, {1, 1, 3, 13, 29, 57, 37, 11, 153, 255, 1039, 2067, 2033, 7927}},
{1326, 14, 2401, {1, 3, 3, 13, 27, 63, 23, 73, 355, 913, 327, 43, 2095, 433}},
{1327, 14, 2402, {1, 3, 3, 7, 13, 1, 61, 193, 73, 465, 1483, 1359, 7459, 6855}},
{1328, 14, 2408, {1, 1, 7, 3, 15, 39, 85, 165, 285, 713, 1455, 403, 7723, 6595}},
{1329, 14, 2419, {1, 1, 3, 9, 11, 39, 67, 43, 47, 85, 1831, 1387, 1423, 12473}},
{1330, 14, 2450, {1, 3, 5, 3, 23, 11, 49, 195, 207, 403, 1761, 3633, 8069, 12455}},
{1331, 14, 2452, {1, 1, 3, 7, 19, 11, 27, 131, 123, 685, 931, 2433, 7133, 1997}},
{1332, 14, 2477, {1, 3, 3, 7, 27, 3, 69, 77, 227, 227, 213, 1277, 6597, 8343}},
{1333, 14, 2509, {1, 3, 7, 5, 13, 61, 69, 63, 59, 949, 2019, 2723, 451, 9641}},
{1334, 14, 2510, {1, 1, 7, 11, 19, 29, 75, 149, 481, 583, 861, 1353, 7525, 115}},
{1335, 14, 2515, {1, 3, 5, 13, 19, 3, 27, 155, 81, 907, 683, 1997, 189, 12139}},
{1336, 14, 2524, {1, 1, 5, 9, 19, 1, 61, 97, 433, 289, 1191, 2347, 5533, 14327}},
{1337, 14, 2527, {1, 3, 1, 5, 13, 9, 7, 91, 49, 75, 1839, 415, 795, 9127}},
{1338, 14, 2531, {1, 1, 1, 11, 13, 11, 123, 31, 261, 159, 681, 231, 117, 14923}},
{1339, 14, 2552, {1, 1, 7, 1, 21, 35, 93, 17, 251, 229, 553, 3413, 7717, 891}},
{1340, 14, 2561, {1, 3, 5, 3, 7, 47, 85, 155, 63, 785, 939, 3135, 3319, 1997}},
{1341, 14, 2567, {1, 3, 7, 1, 21, 19, 7, 69, 505, 327, 1015, 1821, 2583, 15031}},
{1342, 14, 2571, {1, 3, 5, 15, 3, 55, 87, 111, 499, 845, 375, 2735, 6895, 291}},
{1343, 14, 2586, {1, 1, 3, 3, 15, 5, 51, 105, 369, 91, 945, 3633, 7847, 13811}},
{1344, 14, 2588, {1, 1, 1, 5, 21, 57, 79, 213, 225, 71, 881, 391, 4329, 2481}},
{1345, 14, 2595, {1, 1, 7, 11, 19, 49, 39, 193, 271, 463, 1009, 137, 3751, 8439}},
{1346, 14, 2607, {1, 3, 1, 3, 17, 37, 51, 211, 103, 929, 1323, 1175, 5465, 12229}},
{1347, 14, 2621, {1, 1, 3, 9, 21, 9, 123, 221, 201, 769, 723, 2627, 2367, 13169}},
{1348, 14, 2630, {1, 1, 1, 11, 31, 23, 93, 103, 257, 263, 1771, 801, 4735, 13557}},
{1349, 14, 2639, {1, 3, 1, 9, 21, 29, 67, 225, 367, 909, 1333, 655, 7691, 1251}},
{1350, 14, 2653, {1, 1, 3, 7, 19, 11, 75, 175, 383, 121, 1917, 2371, 4191, 16111}},
{1351, 14, 2670, {1, 1, 3, 13, 17, 5, 103, 53, 173, 981, 1185, 3071, 179, 9197}},
{1352, 14, 2672, {1, 1, 3, 9, 5, 41, 25, 219, 211, 291, 1735, 397, 6317, 11209}},
{1353, 14, 2700, {1, 3, 7, 5, 5, 1, 11, 125, 405, 583, 773, 1711, 757, 5187}},
{1354, 14, 2711, {1, 1, 1, 7, 1, 45, 127, 11, 157, 255, 1167, 3315, 5059, 8219}},
{1355, 14, 2715, {1, 1, 1, 5, 15, 55, 49, 81, 451, 887, 309, 2321, 5759, 4673}},
{1356, 14, 2748, {1, 1, 3, 3, 29, 51, 15, 113, 245, 77, 109, 2813, 225, 5479}},
{1357, 14, 2751, {1, 1, 3, 13, 13, 43, 5, 99, 89, 559, 903, 1003, 5401, 1839}},
{1358, 14, 2753, {1, 1, 1, 5, 25, 11, 3, 225, 341, 439, 521, 545, 5529, 5365}},
{1359, 14, 2754, {1, 1, 7, 7, 13, 41, 41, 183, 319, 593, 1961, 2211, 7155, 1683}},
{1360, 14, 2760, {1, 1, 3, 1, 9, 27, 115, 119, 289, 935, 1173, 1783, 7151, 7157}},
{1361, 14, 2774, {1, 3, 3, 7, 17, 33, 31, 109, 245, 785, 1563, 999, 7989, 3493}},
{1362, 14, 2784, {1, 1, 7, 7, 9, 3, 85, 91, 21, 831, 1669, 1857, 1737, 12513}},
{1363, 14, 2793, {1, 3, 3, 5, 17, 51, 37, 175, 325, 581, 1809, 2669, 6179, 2187}},
{1364, 14, 2804, {1, 3, 5, 9, 9, 39, 53, 87, 47, 677, 1081, 171, 4885, 2311}},
{1365, 14, 2811, {1, 1, 5, 9, 29, 3, 79, 13, 433, 891, 131, 3559, 797, 3405}},
{1366, 14, 2822, {1, 3, 7, 11, 25, 5, 73, 189, 251, 927, 2001, 3179, 859, 15931}},
{1367, 14, 2826, {1, 1, 1, 7, 15, 61, 67, 149, 99, 795, 53, 2417, 4943, 7367}},
{1368, 14, 2836, {1, 3, 1, 3, 25, 61, 79, 145, 283, 161, 887, 137, 6027, 12585}},
{1369, 14, 2839, {1, 3, 3, 3, 31, 5, 117, 33, 21, 883, 117, 1609, 7219, 2511}},
{1370, 14, 2840, {1, 3, 3, 13, 1, 59, 29, 177, 419, 287, 973, 3649, 3333, 9779}},
{1371, 14, 2893, {1, 3, 5, 5, 11, 51, 11, 125, 237, 305, 37, 3137, 7645, 6317}},
{1372, 14, 2901, {1, 1, 3, 3, 29, 39, 127, 43, 113, 437, 1501, 13, 1915, 7561}},
{1373, 14, 2902, {1, 3, 5, 13, 9, 55, 7, 209, 381, 725, 1867, 637, 6335, 6057}},
{1374, 14, 2905, {1, 3, 3, 5, 1, 57, 57, 45, 247, 23, 1663, 489, 2503, 9033}},
{1375, 14, 2912, {1, 3, 1, 3, 23, 7, 57, 157, 291, 523, 313, 2501, 1197, 3353}},
{1376, 14, 2915, {1, 3, 5, 11, 31, 13, 35, 253, 349, 393, 1531, 159, 5311, 9225}},
{1377, 14, 2918, {1, 1, 7, 1, 1, 47, 75, 187, 41, 713, 1933, 2139, 2211, 7425}},
{1378, 14, 2939, {1, 1, 3, 5, 7, 21, 67, 27, 303, 617, 1943, 3173, 3081, 10977}},
{1379, 14, 2965, {1, 1, 7, 7, 27, 57, 103, 65, 195, 267, 1347, 3831, 5335, 435}},
{1380, 14, 2966, {1, 1, 7, 13, 11, 35, 83, 21, 273, 227, 1523, 3565, 7221, 3105}},
{1381, 14, 2975, {1, 1, 5, 15, 7, 29, 123, 207, 63, 535, 1355, 2751, 4791, 10285}},
{1382, 14, 2988, {1, 1, 3, 5, 3, 19, 79, 91, 481, 205, 1741, 319, 4651, 12631}},
{1383, 14, 2993, {1, 3, 3, 7, 25, 61, 39, 181, 377, 243, 593, 1383, 1427, 11865}},
{1384, 14, 3006, {1, 1, 3, 9, 13, 13, 97, 27, 335, 973, 1857, 425, 2729, 12014}},
{1385, 14, 3017, {1, 1, 5, 7, 23, 57, 99, 37, 117, 337, 751, 2471, 1105, 1415}},
{1386, 14, 3031, {1, 3, 5, 1, 17, 33, 117, 87, 211, 899, 825, 1043, 4273, 9093}},
{1387, 14, 3038, {1, 1, 3, 13, 11, 7, 81, 251, 421, 643, 1931, 1205, 1033, 8741}},
{1388, 14, 3041, {1, 3, 7, 5, 17, 27, 113, 43, 63, 819, 503, 1427, 5787, 1133}},
{1389, 14, 3042, {1, 1, 1, 13, 7, 31, 85, 123, 17, 243, 749, 1447, 6045, 729}},
{1390, 14, 3051, {1, 1, 1, 3, 19, 15, 97, 49, 101, 37, 1123, 1565, 6957, 1209}},
{1391, 14, 3073, {1, 3, 1, 5, 1, 39, 23, 47, 387, 727, 81, 4023, 7635, 8691}},
{1392, 14, 3088, {1, 3, 7, 11, 19, 27, 71, 37, 281, 981, 1777, 1751, 7387, 8391}},
{1393, 14, 3097, {1, 3, 7, 11, 21, 55, 55, 35, 205, 277, 1573, 327, 7643, 4901}},
{1394, 14, 3098, {1, 1, 5, 11, 15, 45, 91, 157, 339, 489, 1871, 2841, 6839, 4067}},
{1395, 14, 3103, {1, 1, 7, 3, 11, 13, 57, 193, 499, 729, 603, 2235, 6323, 16307}},
{1396, 14, 3104, {1, 1, 5, 9, 13, 41, 127, 117, 115, 159, 1335, 1473, 6509, 8165}},
{1397, 14, 3146, {1, 3, 7, 15, 29, 39, 57, 161, 71, 97, 1201, 649, 5863, 4765}},
{1398, 14, 3148, {1, 3, 1, 1, 21, 3, 3, 129, 421, 575, 1693, 337, 7313, 4801}},
{1399, 14, 3153, {1, 3, 3, 15, 27, 51, 105, 91, 51, 683, 795, 603, 7759, 251}},
{1400, 14, 3159, {1, 1, 5, 7, 9, 45, 55, 199, 83, 575, 521, 2169, 5741, 1579}},
{1401, 14, 3182, {1, 3, 1, 7, 13, 47, 125, 227, 45, 355, 127, 1841, 727, 8555}},
{1402, 14, 3187, {1, 3, 7, 11, 27, 9, 57, 133, 393, 315, 1411, 453, 3787, 7651}},
{1403, 14, 3189, {1, 1, 1, 15, 11, 35, 77, 15, 223, 1009, 291, 2645, 4585, 5839}},
{1404, 14, 3199, {1, 3, 1, 7, 7, 61, 89, 55, 399, 651, 1847, 1901, 1887, 5841}},
{1405, 14, 3239, {1, 3, 3, 3, 17, 29, 41, 19, 353, 475, 1193, 949, 3351, 5073}},
{1406, 14, 3263, {1, 1, 1, 5, 29, 45, 37, 39, 343, 661, 1405, 229, 493, 471}},
{1407, 14, 3271, {1, 3, 5, 5, 25, 27, 37, 33, 33, 139, 1537, 1125, 4331, 253}},
{1408, 14, 3275, {1, 3, 3, 7, 19, 31, 111, 243, 201, 563, 1913, 2153, 749, 3521}},
{1409, 14, 3278, {1, 3, 5, 1, 9, 41, 19, 163, 185, 435, 1997, 3383, 1721, 11137}},
{1410, 14, 3280, {1, 3, 3, 15, 25, 1, 67, 231, 11, 197, 1431, 1697, 3337, 8791}},
{1411, 14, 3283, {1, 1, 1, 1, 13, 59, 11, 199, 243, 105, 751, 811, 345, 8183}},
{1412, 14, 3290, {1, 1, 3, 1, 29, 35, 123, 187, 411, 523, 989, 2545, 4969, 14489}},
{1413, 14, 3311, {1, 3, 7, 5, 29, 23, 51, 83, 335, 769, 171, 1631, 1651, 10549}},
{1414, 14, 3316, {1, 1, 3, 9, 13, 29, 57, 167, 113, 703, 1027, 163, 1327, 5649}},
{1415, 14, 3343, {1, 3, 5, 11, 1, 47, 101, 251, 377, 421, 1825, 3153, 3425, 10447}},
{1416, 14, 3346, {1, 3, 1, 1, 11, 49, 17, 215, 261, 899, 811, 3451, 3955, 791}},
{1417, 14, 3357, {1, 1, 1, 11, 19, 23, 41, 239, 203, 321, 993, 1201, 5073, 8329}},
{1418, 14, 3358, {1, 3, 3, 7, 23, 55, 81, 227, 379, 571, 1869, 2159, 8181, 12901}},
{1419, 14, 3361, {1, 1, 7, 3, 31, 55, 13, 57, 413, 927, 873, 3649, 7167, 3985}},
{1420, 14, 3362, {1, 1, 7, 1, 9, 49, 7, 41, 461, 959, 1477, 4037, 1119, 3525}},
{1421, 14, 3364, {1, 3, 5, 9, 9, 31, 67, 245, 57, 395, 1035, 3005, 4211, 7155}},
{1422, 14, 3386, {1, 1, 7, 9, 5, 59, 55, 7, 97, 707, 1755, 1921, 6239, 233}},
{1423, 14, 3418, {1, 1, 7, 5, 11, 11, 47, 195, 197, 37, 501, 2014, 6579, 15115}},
{1424, 14, 3424, {1, 1, 3, 15, 23, 61, 27, 199, 41, 479, 871, 2365, 1589, 13}},
{1425, 14, 3433, {1, 1, 3, 3, 11, 9, 1, 225, 295, 403, 1065, 3039, 6025, 963}},
{1426, 14, 3434, {1, 3, 7, 13, 9, 61, 29, 253, 371, 527, 1697, 571, 2865, 15967}},
{1427, 14, 3436, {1, 1, 3, 1, 13, 33, 55, 67, 441, 451, 379, 1365, 2111, 6169}},
{1428, 14, 3463, {1, 1, 7, 1, 23, 39, 127, 43, 205, 391, 1463, 2227, 6877, 11483}},
{1429, 14, 3467, {1, 3, 3, 9, 31, 41, 5, 65, 245, 405, 633, 1379, 4111, 13129}},
{1430, 14, 3477, {1, 3, 5, 1, 1, 3, 57, 179, 23, 615, 761, 2339, 8191, 1995}},
{1431, 14, 3484, {1, 3, 3, 5, 11, 53, 67, 119, 169, 313, 873, 531, 63, 10827}},
{1432, 14, 3505, {1, 1, 5, 7, 31, 3, 53, 139, 33, 639, 855, 43, 7895, 495}},
{1433, 14, 3508, {1, 3, 3, 15, 15, 15, 13, 237, 427, 257, 1973, 2287, 7597, 13397}},
{1434, 14, 3515, {1, 1, 3, 11, 31, 5, 29, 97, 99, 1003, 333, 773, 4457, 8629}},
{1435, 14, 3532, {1, 1, 5, 9, 11, 55, 59, 201, 25, 559, 1647, 485, 7041, 4965}},
{1436, 14, 3553, {1, 1, 3, 5, 7, 37, 117, 159, 319, 431, 341, 2497, 755, 5363}},
{1437, 14, 3554, {1, 3, 5, 15, 25, 29, 99, 61, 5, 643, 1605, 2273, 3189, 5505}},
{1438, 14, 3568, {1, 1, 1, 1, 29, 47, 79, 177, 473, 361, 1337, 1199, 2395, 1079}},
{1439, 14, 3573, {1, 3, 5, 3, 7, 31, 101, 189, 223, 719, 1815, 1383, 7233, 11693}},
{1440, 14, 3587, {1, 1, 1, 5, 29, 39, 109, 211, 485, 659, 683, 3331, 4277, 809}},
{1441, 14, 3589, {1, 1, 3, 7, 23, 49, 37, 163, 127, 389, 367, 2223, 1175, 12717}},
{1442, 14, 3596, {1, 3, 3, 7, 27, 27, 51, 57, 115, 941, 243, 2741, 245, 341}},
{1443, 14, 3608, {1, 1, 5, 5, 15, 33, 113, 3, 267, 343, 563, 1769, 4095, 11557}},
{1444, 14, 3620, {1, 3, 3, 13, 13, 11, 105, 161, 145, 125, 1509, 1459, 843, 4553}},
{1445, 14, 3630, {1, 1, 1, 3, 11, 7, 67, 205, 335, 595, 1553, 2319, 6565, 14473}},
{1446, 14, 3644, {1, 3, 5, 15, 23, 13, 119, 117, 263, 463, 1919, 2089, 2809, 9957}},
{1447, 14, 3649, {1, 3, 7, 1, 27, 41, 5, 155, 31, 261, 1383, 1271, 2557, 6041}},
{1448, 14, 3664, {1, 3, 3, 13, 13, 43, 89, 45, 443, 13, 465, 703, 3405, 6471}},
{1449, 14, 3679, {1, 3, 1, 7, 31, 49, 49, 57, 97, 987, 187, 141, 7537, 11021}},
{1450, 14, 3680, {1, 1, 5, 15, 29, 43, 103, 89, 113, 729, 1523, 2893, 1143, 9049}},
{1451, 14, 3685, {1, 1, 3, 3, 29, 49, 43, 255, 371, 903, 661, 3355, 5981, 861}},
{1452, 14, 3686, {1, 3, 7, 11, 29, 13, 75, 5, 239, 983, 733, 2949, 4635, 6789}},
{1453, 14, 3698, {1, 1, 5, 3, 17, 51, 17, 49, 349, 73, 111, 897, 2757, 9817}},
{1454, 14, 3714, {1, 1, 1, 9, 17, 31, 73, 125, 207, 951, 681, 3685, 893, 13725}},
{1455, 14, 3726, {1, 1, 3, 1, 29, 13, 51, 181, 27, 807, 59, 3781, 263, 13865}},
{1456, 14, 3737, {1, 1, 7, 5, 15, 29, 55, 159, 341, 365, 1101, 3139, 4795, 4305}},
{1457, 14, 3767, {1, 3, 7, 15, 19, 35, 99, 251, 241, 115, 1197, 1167, 4663, 5523}},
{1458, 14, 3782, {1, 1, 7, 5, 13, 43, 59, 251, 455, 601, 891, 2279, 3447, 7787}},
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{1830, 14, 7808, {1, 3, 1, 15, 11, 31, 11, 237, 353, 833, 831, 1293, 4505, 14743}},
{1831, 14, 7818, {1, 1, 3, 3, 9, 31, 127, 45, 43, 255, 1525, 3645, 6419, 8085}},
{1832, 14, 7835, {1, 3, 7, 1, 25, 27, 25, 143, 247, 485, 55, 3473, 7503, 1615}},
{1833, 14, 7842, {1, 3, 3, 1, 15, 11, 13, 71, 301, 361, 249, 2701, 5199, 3321}},
{1834, 14, 7865, {1, 1, 3, 7, 7, 17, 63, 181, 191, 247, 91, 3403, 7027, 10373}},
{1835, 14, 7868, {1, 1, 7, 11, 7, 47, 19, 53, 33, 761, 561, 3481, 5131, 16257}},
{1836, 14, 7880, {1, 3, 1, 5, 1, 33, 5, 147, 187, 207, 1387, 3893, 3479, 9371}},
{1837, 14, 7883, {1, 3, 3, 7, 21, 39, 75, 117, 313, 489, 1087, 3701, 6105, 11821}},
{1838, 14, 7891, {1, 3, 3, 7, 15, 23, 5, 53, 61, 881, 1093, 2169, 273, 12635}},
{1839, 14, 7897, {1, 3, 1, 11, 27, 19, 111, 203, 277, 537, 133, 2957, 5223, 15395}},
{1840, 14, 7907, {1, 1, 3, 13, 1, 31, 125, 187, 495, 1009, 1589, 1243, 3461, 5883}},
{1841, 14, 7910, {1, 1, 5, 5, 19, 53, 63, 209, 57, 15, 1221, 2793, 4777, 15433}},
{1842, 14, 7924, {1, 3, 1, 13, 1, 27, 71, 11, 507, 175, 455, 63, 3847, 6667}},
{1843, 14, 7933, {1, 1, 3, 1, 27, 57, 115, 127, 205, 195, 1447, 2193, 6383, 5011}},
{1844, 14, 7934, {1, 1, 1, 13, 23, 29, 91, 7, 331, 661, 615, 195, 4445, 2875}},
{1845, 14, 7942, {1, 1, 5, 9, 27, 27, 1, 47, 461, 565, 627, 1643, 645, 6841}},
{1846, 14, 7948, {1, 1, 5, 13, 21, 39, 81, 145, 267, 491, 701, 3197, 1157, 6509}},
{1847, 14, 7959, {1, 1, 7, 3, 1, 11, 49, 27, 29, 91, 885, 545, 6215, 15321}},
{1848, 14, 7984, {1, 1, 5, 11, 19, 29, 121, 97, 285, 935, 745, 2223, 159, 15429}},
{1849, 14, 7994, {1, 3, 7, 1, 23, 47, 73, 39, 15, 721, 1627, 3999, 5075, 13243}},
{1850, 14, 7999, {1, 3, 5, 1, 5, 29, 27, 27, 73, 899, 1467, 1215, 6627, 13961}},
{1851, 14, 8014, {1, 3, 7, 3, 13, 59, 11, 131, 175, 397, 765, 1195, 7157, 14991}},
{1852, 14, 8021, {1, 1, 1, 15, 23, 63, 1, 51, 295, 835, 445, 3385, 7321, 8469}},
{1853, 14, 8041, {1, 1, 5, 7, 15, 27, 9, 133, 119, 1009, 1469, 2467, 7249, 4631}},
{1854, 14, 8049, {1, 1, 1, 13, 21, 17, 117, 179, 321, 805, 167, 849, 793, 8557}},
{1855, 14, 8050, {1, 3, 7, 11, 13, 5, 107, 93, 453, 835, 1791, 1955, 5463, 2033}},
{1856, 14, 8068, {1, 1, 3, 9, 17, 55, 111, 217, 331, 983, 15, 3731, 3275, 5001}},
{1857, 14, 8080, {1, 1, 1, 5, 15, 15, 57, 103, 197, 193, 1693, 2283, 6317, 14743}},
{1858, 14, 8095, {1, 3, 3, 1, 21, 25, 119, 133, 183, 205, 13, 551, 2163, 8153}},
{1859, 14, 8102, {1, 1, 3, 7, 21, 23, 59, 149, 353, 651, 831, 2861, 675, 8349}},
{1860, 14, 8106, {1, 1, 5, 13, 25, 29, 71, 29, 9, 477, 1371, 1555, 7487, 2597}},
{1861, 14, 8120, {1, 3, 1, 7, 25, 45, 7, 91, 199, 539, 125, 1819, 5241, 7353}},
{1862, 14, 8133, {1, 3, 3, 15, 27, 53, 83, 137, 191, 277, 1883, 469, 4261, 9741}},
{1863, 14, 8134, {1, 1, 3, 9, 31, 9, 83, 73, 417, 587, 1041, 853, 5107, 8391}},
{1864, 14, 8143, {1, 3, 5, 5, 11, 53, 41, 77, 499, 983, 541, 2957, 7133, 14069}},
{1865, 14, 8162, {1, 3, 7, 15, 7, 1, 123, 201, 3, 141, 73, 1911, 5373, 12321}},
{1866, 14, 8168, {1, 1, 3, 1, 5, 23, 19, 243, 83, 869, 1221, 1261, 1363, 1875}},
{1867, 14, 8179, {1, 1, 1, 9, 1, 51, 33, 145, 489, 545, 825, 873, 8057, 11797}},
{1868, 15, 1, {1, 1, 3, 13, 19, 13, 83, 121, 297, 295, 1429, 3443, 1571, 15843, 28767}},
{1869, 15, 8, {1, 1, 1, 15, 27, 53, 25, 233, 437, 485, 641, 4011, 7405, 6323, 1697}},
{1870, 15, 11, {1, 3, 1, 11, 15, 33, 15, 227, 69, 79, 1043, 2159, 1041, 649, 25043}},
{1871, 15, 22, {1, 3, 5, 11, 19, 3, 1, 39, 77, 323, 407, 2575, 6855, 6927, 11705}},
{1872, 15, 26, {1, 1, 1, 1, 11, 15, 69, 91, 109, 885, 675, 193, 989, 1061, 6133}},
{1873, 15, 47, {1, 1, 3, 3, 15, 37, 23, 31, 169, 321, 25, 3637, 1129, 12461, 4741}},
{1874, 15, 59, {1, 3, 3, 11, 5, 63, 57, 55, 65, 715, 307, 2315, 3725, 13937, 29497}},
{1875, 15, 64, {1, 1, 7, 5, 7, 41, 53, 115, 391, 1011, 201, 1069, 7425, 9775, 25067}},
{1876, 15, 67, {1, 1, 7, 7, 3, 39, 87, 139, 253, 405, 2007, 3489, 395, 10591, 21825}},
{1877, 15, 73, {1, 1, 3, 9, 23, 55, 51, 193, 91, 617, 943, 81, 1249, 14799, 24349}},
{1878, 15, 82, {1, 3, 7, 7, 17, 35, 27, 173, 169, 867, 1833, 905, 8095, 12045, 21097}},
{1879, 15, 97, {1, 1, 1, 7, 5, 45, 17, 73, 389, 335, 1481, 2339, 1403, 13291, 1967}},
{1880, 15, 103, {1, 3, 1, 5, 19, 13, 123, 63, 321, 259, 581, 1475, 7995, 6321, 30781}},
{1881, 15, 110, {1, 1, 7, 3, 9, 21, 69, 13, 151, 611, 1129, 1743, 5423, 16339, 12699}},
{1882, 15, 115, {1, 1, 3, 3, 13, 33, 23, 243, 293, 793, 213, 2909, 5681, 16143, 24717}},
{1883, 15, 122, {1, 3, 1, 13, 17, 19, 95, 33, 371, 207, 633, 43, 5313, 5585, 10767}},
{1884, 15, 128, {1, 1, 5, 13, 17, 11, 123, 19, 45, 855, 243, 1267, 2115, 3255, 28091}},
{1885, 15, 138, {1, 3, 7, 15, 21, 45, 7, 13, 481, 29, 969, 1415, 7941, 4409, 17327}},
{1886, 15, 146, {1, 1, 5, 11, 7, 43, 83, 175, 127, 41, 1561, 471, 3949, 9773, 27339}},
{1887, 15, 171, {1, 1, 7, 11, 31, 47, 95, 183, 137, 27, 1743, 2983, 5123, 8705, 10745}},
{1888, 15, 174, {1, 1, 5, 5, 5, 39, 9, 89, 363, 957, 1251, 2731, 3991, 13595, 21205}},
{1889, 15, 176, {1, 1, 1, 9, 3, 43, 103, 29, 205, 323, 1843, 13, 3943, 5819, 12421}},
{1890, 15, 182, {1, 1, 7, 9, 19, 47, 53, 85, 225, 651, 799, 2593, 7241, 14981, 20391}},
{1891, 15, 194, {1, 1, 5, 15, 29, 45, 65, 211, 337, 273, 1761, 1875, 1123, 12069, 3169}},
{1892, 15, 208, {1, 3, 1, 11, 21, 45, 1, 41, 339, 441, 1799, 1271, 6161, 13081, 24991}},
{1893, 15, 211, {1, 3, 3, 3, 21, 47, 87, 207, 465, 899, 1555, 1591, 7855, 10701, 26791}},
{1894, 15, 220, {1, 1, 1, 5, 1, 5, 33, 77, 477, 747, 201, 3095, 555, 7685, 6129}},
{1895, 15, 229, {1, 3, 1, 11, 13, 7, 65, 87, 391, 699, 913, 3799, 5441, 14025, 26153}},
{1896, 15, 230, {1, 1, 5, 7, 27, 17, 101, 149, 233, 711, 1761, 1257, 8081, 12103, 10781}},
{1897, 15, 239, {1, 1, 3, 1, 27, 3, 63, 189, 309, 513, 1757, 3311, 4761, 57, 6305}},
{1898, 15, 254, {1, 3, 3, 1, 13, 55, 49, 171, 5, 61, 39, 723, 7835, 15009, 3845}},
{1899, 15, 265, {1, 1, 1, 11, 1, 7, 123, 145, 307, 873, 739, 1491, 8141, 11489, 9165}},
{1900, 15, 285, {1, 3, 3, 5, 9, 5, 123, 57, 31, 289, 1735, 1255, 411, 15865, 5527}},
{1901, 15, 290, {1, 1, 5, 9, 3, 37, 125, 245, 355, 433, 1791, 3793, 6867, 15237, 5821}},
{1902, 15, 319, {1, 3, 3, 1, 9, 35, 115, 117, 331, 41, 1489, 3919, 8101, 14171, 9519}},
{1903, 15, 324, {1, 3, 1, 15, 27, 27, 45, 99, 21, 333, 1017, 791, 5641, 7839, 23597}},
{1904, 15, 327, {1, 1, 7, 9, 5, 45, 85, 239, 333, 959, 519, 3655, 2597, 155, 24489}},
{1905, 15, 333, {1, 1, 5, 7, 27, 11, 1, 103, 251, 967, 1625, 1029, 3833, 12345, 11181}},
{1906, 15, 357, {1, 1, 5, 13, 5, 33, 101, 163, 27, 669, 17, 873, 1025, 4237, 24849}},
{1907, 15, 364, {1, 1, 3, 3, 7, 25, 125, 17, 361, 57, 625, 2183, 4861, 8631, 16519}},
{1908, 15, 395, {1, 3, 7, 15, 25, 43, 125, 23, 297, 277, 717, 1927, 5833, 13949, 27595}},
{1909, 15, 397, {1, 3, 5, 13, 3, 7, 69, 43, 387, 69, 1851, 3639, 4755, 15749, 2291}},
{1910, 15, 405, {1, 3, 1, 11, 13, 3, 39, 201, 143, 973, 1827, 2861, 5561, 539, 18273}},
{1911, 15, 409, {1, 3, 5, 11, 27, 23, 77, 95, 507, 175, 967, 515, 3341, 15073, 1631}},
{1912, 15, 419, {1, 3, 5, 1, 13, 31, 83, 241, 225, 123, 1369, 1565, 4933, 13565, 29297}},
{1913, 15, 422, {1, 3, 1, 13, 19, 51, 53, 41, 37, 135, 811, 1239, 897, 11643, 389}},
{1914, 15, 431, {1, 3, 3, 13, 23, 27, 87, 23, 67, 325, 2025, 521, 6699, 2343, 13291}},
{1915, 15, 433, {1, 1, 1, 7, 11, 9, 19, 231, 339, 37, 1615, 3715, 7081, 8959, 25735}},
{1916, 15, 436, {1, 3, 5, 9, 15, 57, 15, 75, 135, 507, 1723, 3053, 4565, 10735, 5229}},
{1917, 15, 440, {1, 3, 3, 7, 21, 57, 27, 157, 351, 633, 639, 1755, 7903, 4655, 29409}},
{1918, 15, 453, {1, 1, 7, 3, 1, 41, 7, 209, 227, 1003, 1089, 3655, 2055, 6321, 14603}},
{1919, 15, 460, {1, 1, 3, 5, 17, 41, 13, 229, 231, 277, 15, 3337, 4697, 7249, 21153}},
{1920, 15, 471, {1, 3, 3, 1, 15, 57, 21, 21, 359, 821, 149, 2155, 5725, 2833, 29503}},
{1921, 15, 478, {1, 3, 7, 7, 11, 29, 37, 103, 201, 453, 2033, 3273, 3369, 15017, 27613}},
{1922, 15, 482, {1, 3, 3, 15, 19, 19, 119, 139, 475, 673, 1061, 849, 1885, 6431, 7261}},
{1923, 15, 488, {1, 3, 7, 13, 15, 29, 63, 89, 207, 461, 25, 551, 3227, 491, 20345}},
{1924, 15, 524, {1, 1, 7, 15, 31, 29, 31, 193, 181, 533, 1083, 837, 97, 4903, 26167}},
{1925, 15, 529, {1, 3, 5, 15, 13, 13, 53, 197, 73, 49, 373, 3933, 195, 2979, 29091}},
{1926, 15, 535, {1, 1, 5, 5, 23, 33, 35, 69, 115, 203, 141, 3627, 7265, 11755, 31243}},
{1927, 15, 536, {1, 1, 5, 11, 13, 19, 9, 205, 31, 69, 1711, 3183, 2149, 3137, 13631}},
{1928, 15, 539, {1, 3, 7, 5, 25, 1, 105, 47, 93, 781, 277, 1717, 6543, 14741, 25523}},
{1929, 15, 563, {1, 1, 1, 3, 27, 45, 25, 229, 215, 897, 115, 863, 7575, 14219, 22019}},
{1930, 15, 566, {1, 3, 5, 1, 3, 31, 107, 161, 303, 43, 1839, 2139, 6697, 12223, 1923}},
{1931, 15, 572, {1, 3, 3, 3, 1, 45, 11, 51, 145, 233, 517, 2927, 5821, 2931, 20693}},
{1932, 15, 577, {1, 1, 1, 3, 23, 63, 73, 99, 27, 161, 507, 2865, 3613, 9359, 9027}},
{1933, 15, 587, {1, 1, 5, 9, 29, 55, 127, 101, 17, 795, 1713, 1749, 5195, 8609, 24111}},
{1934, 15, 592, {1, 3, 1, 1, 3, 29, 33, 25, 69, 715, 1847, 2283, 1225, 1131, 30285}},
{1935, 15, 602, {1, 3, 5, 5, 3, 11, 37, 189, 381, 879, 1565, 2163, 1327, 9945, 28539}},
{1936, 15, 623, {1, 1, 5, 11, 3, 55, 3, 51, 25, 777, 1749, 75, 409, 6485, 27585}},
{1937, 15, 635, {1, 3, 3, 9, 19, 53, 43, 199, 207, 207, 825, 1867, 4947, 8507, 30483}},
{1938, 15, 638, {1, 1, 1, 1, 9, 31, 29, 65, 413, 37, 187, 2373, 321, 7199, 14443}},
{1939, 15, 654, {1, 3, 3, 11, 31, 27, 47, 7, 325, 333, 271, 3689, 1897, 12775, 25993}},
{1940, 15, 656, {1, 1, 5, 5, 5, 39, 119, 117, 329, 475, 331, 2429, 1803, 4849, 915}},
{1941, 15, 659, {1, 1, 7, 5, 19, 35, 45, 107, 327, 489, 1235, 1693, 6463, 603, 31655}},
{1942, 15, 665, {1, 3, 7, 9, 17, 37, 89, 187, 57, 201, 999, 797, 5317, 3609, 13877}},
{1943, 15, 675, {1, 1, 1, 11, 19, 21, 15, 131, 47, 5, 187, 2353, 3739, 11951, 22283}},
{1944, 15, 677, {1, 1, 1, 7, 7, 1, 41, 213, 205, 333, 2029, 1983, 7039, 6241, 16941}},
{1945, 15, 687, {1, 3, 1, 5, 7, 37, 83, 115, 199, 125, 509, 2535, 7441, 8157, 8921}},
{1946, 15, 696, {1, 3, 5, 13, 29, 35, 13, 221, 457, 707, 1001, 3585, 2301, 10283, 26081}},
{1947, 15, 701, {1, 1, 3, 3, 11, 1, 103, 93, 153, 277, 1705, 1403, 2877, 741, 22913}},
{1948, 15, 704, {1, 3, 7, 3, 3, 47, 35, 251, 309, 323, 1159, 895, 3407, 6507, 4677}},
{1949, 15, 710, {1, 3, 7, 15, 11, 13, 45, 51, 53, 833, 137, 1409, 7043, 4067, 13939}},
{1950, 15, 721, {1, 1, 3, 11, 21, 39, 71, 25, 197, 645, 501, 3119, 1053, 7855, 30873}},
{1951, 15, 728, {1, 3, 5, 15, 29, 51, 93, 31, 387, 785, 167, 3815, 5477, 4255, 17975}},
{1952, 15, 738, {1, 1, 1, 3, 1, 33, 93, 9, 49, 389, 2009, 4095, 6299, 4451, 18043}},
{1953, 15, 740, {1, 3, 5, 15, 13, 43, 43, 167, 361, 445, 1685, 3677, 3901, 5693, 18901}},
{1954, 15, 749, {1, 1, 3, 9, 1, 11, 55, 61, 65, 515, 1723, 1235, 1613, 15083, 9529}},
{1955, 15, 758, {1, 1, 3, 5, 31, 23, 107, 169, 109, 1005, 195, 3509, 4879, 15767, 23089}},
{1956, 15, 761, {1, 3, 7, 11, 3, 35, 61, 117, 99, 311, 1909, 2329, 3499, 8701, 27507}},
{1957, 15, 772, {1, 3, 7, 11, 1, 21, 27, 167, 77, 469, 2045, 873, 3441, 7377, 6225}},
{1958, 15, 776, {1, 1, 5, 3, 19, 17, 97, 55, 43, 17, 577, 765, 4027, 9511, 28643}},
{1959, 15, 782, {1, 3, 5, 7, 31, 47, 71, 41, 109, 441, 815, 1483, 6881, 595, 7263}},
{1960, 15, 789, {1, 1, 3, 9, 21, 63, 109, 231, 303, 381, 1701, 2877, 6899, 967, 30047}},
{1961, 15, 810, {1, 3, 5, 1, 19, 31, 21, 201, 167, 649, 823, 715, 2289, 5081, 14869}},
{1962, 15, 812, {1, 1, 7, 13, 23, 23, 59, 217, 263, 213, 1495, 2915, 2237, 1669, 14415}},
{1963, 15, 818, {1, 1, 3, 7, 29, 53, 109, 57, 429, 55, 573, 3529, 7687, 13853, 27299}},
{1964, 15, 830, {1, 3, 5, 3, 23, 13, 107, 99, 81, 483, 411, 223, 2907, 5095, 28383}},
{1965, 15, 832, {1, 1, 1, 5, 25, 29, 125, 233, 107, 381, 291, 3781, 1127, 5987, 11707}},
{1966, 15, 852, {1, 3, 7, 13, 29, 49, 17, 209, 379, 89, 1939, 1981, 129, 10907, 21123}},
{1967, 15, 855, {1, 3, 5, 15, 25, 37, 93, 81, 359, 675, 2039, 685, 2405, 6439, 22425}},
{1968, 15, 859, {1, 3, 3, 7, 3, 25, 43, 179, 233, 167, 1969, 537, 2781, 9605, 2411}},
{1969, 15, 865, {1, 3, 7, 13, 9, 49, 81, 195, 213, 593, 163, 707, 3887, 4557, 1051}},
{1970, 15, 877, {1, 3, 5, 13, 3, 47, 5, 197, 341, 1015, 1699, 35, 6907, 11365, 15213}},
{1971, 15, 895, {1, 3, 3, 11, 27, 13, 109, 127, 13, 895, 687, 2719, 7805, 1939, 16615}},
{1972, 15, 901, {1, 3, 7, 11, 11, 63, 35, 131, 269, 419, 1531, 535, 87, 1667, 2889}},
{1973, 15, 902, {1, 3, 7, 15, 31, 51, 13, 75, 411, 943, 1753, 797, 5287, 10133, 19235}},
{1974, 15, 906, {1, 3, 5, 15, 7, 37, 113, 169, 103, 305, 1059, 1769, 4801, 1743, 25455}},
{1975, 15, 916, {1, 1, 3, 5, 1, 33, 53, 203, 247, 697, 851, 3927, 6737, 5455, 1709}},
{1976, 15, 920, {1, 1, 7, 9, 7, 5, 9, 201, 321, 613, 1567, 859, 3543, 2357, 11377}},
{1977, 15, 949, {1, 1, 3, 11, 29, 11, 105, 217, 99, 971, 19, 3007, 6573, 3381, 22739}},
{1978, 15, 962, {1, 3, 5, 1, 1, 11, 83, 215, 15, 217, 731, 873, 1275, 11457, 26937}},
{1979, 15, 964, {1, 1, 7, 15, 19, 29, 11, 235, 193, 713, 629, 1205, 6655, 1669, 3465}},
{1980, 15, 967, {1, 1, 7, 1, 13, 49, 89, 73, 39, 45, 301, 3723, 4603, 12853, 13695}},
{1981, 15, 981, {1, 3, 3, 11, 27, 1, 51, 223, 495, 153, 835, 3565, 465, 9497, 8303}},
{1982, 15, 982, {1, 1, 1, 5, 11, 25, 7, 99, 141, 247, 1335, 2307, 4639, 375, 16841}},
{1983, 15, 985, {1, 1, 7, 11, 21, 11, 81, 123, 485, 363, 217, 2165, 4819, 11045, 9853}},
{1984, 15, 991, {1, 3, 5, 7, 15, 43, 17, 19, 377, 601, 849, 1157, 7821, 5623, 29901}},
{1985, 15, 1007, {1, 3, 3, 13, 15, 29, 93, 87, 445, 565, 561, 4025, 79, 12369, 30383}},
{1986, 15, 1016, {1, 1, 3, 11, 11, 13, 31, 239, 485, 417, 1785, 1843, 2807, 1539, 15727}},
{1987, 15, 1024, {1, 3, 1, 9, 17, 17, 7, 109, 239, 243, 53, 575, 77, 4887, 8023}},
{1988, 15, 1051, {1, 3, 3, 7, 29, 57, 85, 161, 155, 667, 243, 581, 6307, 1947, 7165}},
{1989, 15, 1060, {1, 3, 5, 13, 11, 37, 83, 231, 255, 899, 1795, 3049, 7169, 11451, 31227}},
{1990, 15, 1070, {1, 1, 3, 5, 29, 7, 19, 143, 53, 191, 1525, 2685, 1377, 6229, 25141}},
{1991, 15, 1072, {1, 3, 1, 15, 1, 31, 77, 207, 445, 217, 337, 1355, 7057, 6147, 24061}},
{1992, 15, 1084, {1, 1, 7, 5, 3, 19, 39, 25, 23, 49, 85, 781, 6347, 1137, 30013}},
{1993, 15, 1089, {1, 1, 7, 13, 25, 57, 51, 111, 201, 73, 983, 931, 1085, 8227, 21791}},
{1994, 15, 1095, {1, 1, 7, 13, 31, 41, 15, 223, 371, 117, 103, 589, 7819, 7991, 19903}},
{1995, 15, 1114, {1, 1, 1, 3, 29, 15, 119, 229, 163, 825, 1299, 339, 5861, 13927, 9923}},
{1996, 15, 1123, {1, 3, 1, 3, 7, 63, 31, 69, 181, 445, 1501, 663, 4915, 7387, 22065}},
{1997, 15, 1132, {1, 1, 5, 15, 25, 19, 69, 147, 233, 713, 1697, 1685, 2705, 6261, 1805}},
{1998, 15, 1154, {1, 3, 3, 11, 5, 21, 1, 235, 481, 349, 749, 853, 7893, 10075, 26307}},
{1999, 15, 1156, {1, 3, 5, 11, 7, 61, 115, 133, 227, 69, 1741, 4011, 1911, 4579, 7941}},
{2000, 15, 1163, {1, 3, 7, 13, 15, 45, 51, 127, 467, 353, 1947, 2129, 2969, 3185, 24177}},
{2001, 15, 1171, {1, 1, 5, 11, 25, 19, 29, 105, 483, 795, 1015, 975, 7037, 11439, 7217}},
{2002, 15, 1202, {1, 3, 7, 9, 17, 61, 121, 143, 133, 281, 1101, 3033, 1081, 5371, 13073}},
{2003, 15, 1228, {1, 1, 7, 9, 11, 19, 7, 61, 147, 1011, 1315, 2641, 4065, 13461, 19589}},
{2004, 15, 1239, {1, 3, 5, 3, 7, 1, 111, 123, 51, 345, 1033, 3863, 5135, 4907, 12509}},
{2005, 15, 1255, {1, 3, 3, 7, 3, 57, 45, 207, 487, 751, 145, 3037, 1467, 8917, 20379}},
{2006, 15, 1256, {1, 3, 3, 11, 15, 43, 123, 195, 15, 233, 1997, 2095, 2755, 16347, 3809}},
{2007, 15, 1262, {1, 1, 7, 3, 21, 5, 17, 253, 153, 25, 563, 139, 2611, 12733, 17505}},
{2008, 15, 1270, {1, 3, 1, 7, 27, 43, 33, 33, 489, 441, 1845, 3507, 5089, 1173, 14689}},
{2009, 15, 1279, {1, 1, 3, 7, 19, 43, 73, 165, 159, 873, 625, 1621, 5327, 8421, 14479}},
{2010, 15, 1308, {1, 3, 5, 7, 31, 37, 35, 195, 373, 257, 1791, 2679, 1517, 1649, 13101}},
{2011, 15, 1322, {1, 3, 1, 15, 11, 25, 127, 105, 65, 169, 931, 2445, 2953, 11405, 12267}},
{2012, 15, 1329, {1, 3, 7, 9, 25, 49, 1, 25, 273, 405, 1401, 265, 1449, 8641, 31469}},
{2014, 15, 1330, {1, 3, 3, 9, 23, 3, 5, 99, 439, 521, 317, 1397, 6933, 14937, 15165}},
{2014, 15, 1336, {1, 1, 1, 5, 1, 25, 9, 137, 173, 1003, 625, 2783, 4179, 6203, 29619}},
{2015, 15, 1341, {1, 3, 7, 1, 7, 31, 49, 251, 269, 107, 659, 1091, 3833, 2803, 11677}},
{2016, 15, 1347, {1, 1, 7, 5, 1, 25, 79, 255, 335, 585, 457, 2331, 3371, 12899, 8727}},
{2017, 15, 1349, {1, 1, 1, 9, 21, 37, 35, 115, 197, 587, 81, 2641, 3343, 10733, 17601}},
{2018, 15, 1359, {1, 1, 5, 1, 21, 9, 39, 95, 47, 289, 355, 183, 5063, 7409, 11539}},
{2019, 15, 1367, {1, 3, 1, 3, 23, 23, 11, 165, 65, 51, 597, 1657, 4625, 6489, 21539}},
{2020, 15, 1368, {1, 1, 5, 1, 27, 25, 83, 201, 445, 659, 703, 2129, 5537, 8669, 10197}},
{2021, 15, 1390, {1, 1, 7, 11, 29, 17, 27, 205, 321, 117, 1519, 3543, 1025, 9761, 3193}},
{2022, 15, 1413, {1, 3, 1, 13, 7, 17, 109, 3, 243, 495, 1541, 2153, 3391, 10359, 31065}},
{2023, 15, 1414, {1, 1, 7, 7, 19, 35, 79, 229, 413, 967, 1917, 1363, 5967, 8581, 6219}},
{2024, 15, 1437, {1, 3, 5, 7, 9, 25, 23, 187, 445, 879, 773, 3335, 7989, 16287, 20037}},
{2025, 15, 1441, {1, 3, 3, 15, 3, 1, 43, 99, 189, 567, 49, 3215, 3375, 1523, 7707}},
{2026, 15, 1462, {1, 3, 5, 5, 19, 37, 109, 173, 301, 35, 1231, 1891, 7891, 4673, 8549}},
{2027, 15, 1465, {1, 3, 3, 3, 9, 25, 115, 35, 63, 773, 289, 3361, 7127, 3485, 23359}},
{2028, 15, 1480, {1, 3, 5, 13, 21, 23, 113, 187, 59, 103, 1339, 3811, 3527, 1267, 26137}},
{2029, 15, 1486, {1, 1, 3, 15, 1, 61, 33, 173, 439, 607, 613, 3923, 2389, 3019, 30907}},
{2030, 15, 1504, {1, 3, 7, 15, 11, 55, 35, 51, 387, 585, 1919, 753, 6919, 10933, 11737}},
{2031, 15, 1509, {1, 3, 5, 15, 13, 9, 71, 125, 385, 679, 1887, 1205, 2873, 2691, 15301}},
{2032, 15, 1514, {1, 1, 1, 9, 15, 31, 89, 57, 149, 275, 261, 1777, 4015, 1333, 6515}},
{2033, 15, 1522, {1, 1, 5, 11, 17, 49, 15, 179, 201, 423, 1725, 2143, 5743, 7745, 14967}},
{2034, 15, 1528, {1, 1, 5, 5, 11, 31, 63, 127, 273, 549, 181, 273, 581, 3167, 13969}},
{2035, 15, 1552, {1, 1, 1, 9, 19, 13, 123, 155, 363, 935, 1491, 3609, 7755, 9943, 3}},
{2036, 15, 1555, {1, 1, 5, 7, 31, 27, 11, 191, 297, 431, 765, 3895, 3075, 15521, 11637}},
{2037, 15, 1571, {1, 3, 3, 9, 21, 63, 41, 231, 201, 49, 423, 1573, 7411, 5305, 24253}},
{2038, 15, 1578, {1, 1, 1, 5, 31, 13, 29, 17, 347, 809, 1247, 3027, 3523, 8503, 17913}},
{2039, 15, 1585, {1, 3, 3, 1, 25, 61, 31, 27, 325, 919, 1979, 2235, 1277, 15285, 5387}},
{2040, 15, 1588, {1, 1, 5, 15, 5, 3, 91, 25, 477, 399, 319, 3321, 515, 5445, 24811}},
{2041, 15, 1603, {1, 3, 7, 13, 31, 27, 17, 137, 503, 143, 1485, 703, 179, 13787, 5227}},
{2042, 15, 1609, {1, 1, 1, 5, 23, 47, 73, 97, 297, 481, 347, 1215, 4213, 10945, 22725}},
{2043, 15, 1617, {1, 1, 5, 3, 9, 41, 107, 221, 273, 667, 1933, 139, 1005, 14787, 6387}},
{2044, 15, 1620, {1, 3, 1, 3, 25, 15, 61, 51, 5, 41, 1563, 2719, 5695, 4625, 22765}},
{2045, 15, 1629, {1, 3, 5, 15, 23, 33, 13, 17, 385, 153, 107, 1935, 5465, 12201, 7447}},
{2046, 15, 1636, {1, 3, 3, 7, 31, 13, 81, 55, 499, 639, 1455, 3983, 7, 11453, 5179}},
{2047, 15, 1648, {1, 3, 5, 5, 1, 15, 15, 129, 441, 825, 1985, 3811, 149, 7375, 8407}},
{2048, 15, 1667, {1, 3, 1, 1, 15, 13, 89, 205, 303, 657, 971, 349, 5033, 6879, 12917}},
{2049, 15, 1669, {1, 3, 7, 9, 29, 13, 39, 15, 417, 943, 1477, 1053, 6305, 9087, 29601}},
{2050, 15, 1682, {1, 3, 5, 9, 7, 1, 45, 253, 305, 379, 501, 1873, 7507, 11075, 23027}},
{2051, 15, 1697, {1, 1, 3, 1, 17, 61, 25, 199, 207, 331, 819, 3617, 365, 4233, 1639}},
{2052, 15, 1704, {1, 3, 1, 15, 25, 17, 25, 145, 189, 599, 891, 3475, 563, 3197, 7873}},
{2053, 15, 1709, {1, 1, 5, 7, 19, 59, 5, 35, 207, 425, 767, 3217, 7583, 4351, 11627}},
{2054, 15, 1727, {1, 1, 5, 11, 3, 43, 105, 197, 455, 315, 1601, 1125, 1823, 1515, 2179}},
{2055, 15, 1730, {1, 3, 5, 3, 25, 7, 97, 69, 487, 407, 1599, 1087, 3083, 7445, 1369}},
{2056, 15, 1732, {1, 1, 7, 11, 13, 47, 25, 115, 225, 11, 311, 3037, 2607, 1015, 15603}},
{2057, 15, 1741, {1, 1, 5, 3, 19, 49, 7, 59, 469, 431, 387, 1909, 983, 1751, 30221}},
{2058, 15, 1744, {1, 3, 5, 3, 23, 51, 65, 19, 221, 665, 155, 1323, 1497, 10815, 20521}},
{2059, 15, 1759, {1, 3, 1, 1, 3, 51, 67, 149, 373, 165, 1923, 1043, 3819, 7405, 6115}},
{2060, 15, 1765, {1, 3, 3, 1, 3, 25, 47, 137, 261, 1001, 1809, 3297, 6119, 6947, 29055}},
{2061, 15, 1766, {1, 1, 3, 5, 1, 29, 43, 111, 423, 411, 1119, 2719, 4063, 8179, 6727}},
{2062, 15, 1778, {1, 1, 7, 13, 15, 43, 57, 249, 503, 41, 1533, 1657, 7715, 1761, 24099}},
{2063, 15, 1780, {1, 1, 1, 11, 27, 23, 51, 131, 479, 495, 1843, 2099, 1551, 957, 14961}},
{2064, 15, 1783, {1, 3, 7, 15, 7, 47, 63, 51, 433, 429, 27, 3511, 4209, 3735, 21843}},
{2065, 15, 1797, {1, 3, 3, 3, 19, 9, 39, 207, 191, 77, 1449, 3817, 2389, 5971, 763}},
{2066, 15, 1807, {1, 3, 3, 3, 13, 9, 123, 253, 279, 515, 1099, 2511, 1233, 12429, 24569}},
{2067, 15, 1821, {1, 1, 3, 1, 27, 11, 17, 167, 385, 125, 253, 2869, 3583, 16219, 26881}},
{2068, 15, 1832, {1, 3, 3, 3, 25, 35, 89, 131, 61, 941, 33, 267, 1399, 8411, 1321}},
{2069, 15, 1835, {1, 3, 5, 15, 3, 1, 109, 61, 499, 81, 1085, 3787, 139, 9827, 12999}},
{2070, 15, 1849, {1, 3, 3, 1, 23, 61, 35, 145, 325, 865, 699, 33, 2391, 3707, 14153}},
{2071, 15, 1850, {1, 1, 5, 13, 7, 61, 101, 47, 303, 477, 375, 87, 3689, 1803, 18173}},
{2072, 15, 1863, {1, 3, 5, 5, 9, 61, 51, 171, 21, 285, 345, 2801, 1113, 7593, 16085}},
{2073, 15, 1867, {1, 3, 1, 15, 27, 25, 121, 235, 505, 575, 1595, 747, 3295, 10725, 11769}},
{2074, 15, 1869, {1, 1, 7, 9, 1, 25, 91, 231, 257, 539, 831, 3109, 7933, 2539, 30833}},
{2075, 15, 1872, {1, 1, 1, 13, 25, 5, 51, 137, 145, 705, 1533, 647, 3539, 12305, 6663}},
{2076, 15, 1887, {1, 3, 3, 7, 9, 47, 119, 109, 351, 167, 375, 3671, 1655, 3971, 7261}},
{2077, 15, 1888, {1, 3, 1, 11, 19, 39, 69, 135, 159, 1007, 749, 879, 1923, 1993, 16949}},
{2078, 15, 1897, {1, 3, 1, 11, 7, 37, 119, 237, 327, 57, 785, 1013, 3801, 14421, 21685}},
{2079, 15, 1906, {1, 3, 5, 15, 11, 53, 27, 199, 137, 981, 511, 897, 7467, 6827, 28783}},
{2080, 15, 1917, {1, 3, 7, 3, 17, 47, 9, 145, 153, 105, 1661, 1145, 2671, 15261, 6579}},
{2081, 15, 1927, {1, 3, 5, 9, 7, 59, 101, 151, 51, 907, 1201, 2359, 6907, 4039, 26507}},
{2082, 15, 1939, {1, 3, 7, 9, 27, 39, 89, 249, 165, 655, 847, 2321, 7287, 15655, 21707}},
{2083, 15, 1941, {1, 3, 3, 3, 27, 37, 113, 121, 379, 763, 1955, 1329, 6435, 10091, 8779}},
{2084, 15, 1948, {1, 1, 7, 9, 27, 43, 17, 37, 313, 663, 801, 2685, 6249, 10353, 31151}},
{2085, 15, 1970, {1, 1, 7, 3, 25, 7, 5, 207, 71, 427, 1739, 463, 6785, 4159, 1809}},
{2086, 15, 1979, {1, 1, 7, 13, 7, 41, 125, 27, 357, 343, 1093, 2569, 2991, 395, 18383}},
{2087, 15, 1982, {1, 3, 1, 3, 29, 17, 87, 73, 85, 273, 1175, 2825, 4727, 10575, 315}},
{2088, 15, 2002, {1, 3, 3, 7, 31, 35, 87, 27, 11, 423, 1817, 723, 6049, 4513, 17499}},
{2089, 15, 2020, {1, 1, 5, 7, 23, 31, 123, 195, 453, 581, 371, 195, 1417, 10659, 28837}},
{2090, 15, 2024, {1, 1, 5, 9, 1, 29, 77, 21, 291, 999, 203, 795, 4563, 15141, 5313}},
{2091, 15, 2032, {1, 3, 1, 5, 15, 25, 119, 211, 289, 255, 1183, 3261, 7841, 1729, 16521}},
{2092, 15, 2053, {1, 1, 5, 3, 27, 9, 67, 157, 7, 141, 187, 1031, 7535, 8651, 31595}},
{2093, 15, 2060, {1, 3, 7, 11, 11, 63, 111, 73, 453, 259, 1963, 2845, 2971, 10815, 12389}},
{2094, 15, 2063, {1, 3, 3, 7, 9, 51, 91, 231, 455, 379, 1445, 1985, 2209, 16327, 16303}},
{2095, 15, 2066, {1, 3, 3, 7, 21, 1, 29, 231, 405, 263, 847, 3885, 3487, 11779, 30607}},
{2096, 15, 2075, {1, 1, 5, 11, 29, 33, 81, 139, 119, 43, 1257, 2759, 4491, 14777, 25007}},
{2097, 15, 2078, {1, 1, 1, 15, 1, 45, 87, 15, 363, 571, 2025, 3707, 4701, 6465, 24497}},
{2098, 15, 2081, {1, 1, 7, 7, 29, 15, 115, 29, 35, 227, 1669, 2409, 4889, 6825, 31695}},
{2099, 15, 2091, {1, 3, 5, 1, 11, 17, 1, 17, 47, 737, 1417, 855, 4697, 2555, 5721}},
{2100, 15, 2096, {1, 3, 3, 1, 21, 59, 29, 5, 387, 173, 147, 2845, 2289, 299, 6867}},
{2101, 15, 2102, {1, 3, 5, 7, 3, 41, 87, 97, 135, 995, 1227, 3527, 5611, 7537, 27221}},
{2102, 15, 2106, {1, 3, 5, 3, 29, 63, 9, 83, 13, 289, 1009, 3281, 2809, 11533, 12153}},
{2103, 15, 2116, {1, 3, 5, 15, 9, 63, 99, 219, 289, 731, 1345, 3883, 179, 6209, 20605}},
{2104, 15, 2120, {1, 3, 5, 1, 31, 29, 59, 197, 511, 719, 361, 2235, 1429, 14139, 26365}},
{2105, 15, 2125, {1, 3, 5, 11, 13, 3, 17, 1, 377, 955, 1331, 2059, 2177, 15579, 4899}},
{2106, 15, 2134, {1, 3, 7, 11, 25, 19, 93, 9, 173, 167, 1721, 517, 8053, 5459, 16839}},
{2107, 15, 2178, {1, 3, 1, 3, 21, 21, 7, 237, 135, 173, 235, 101, 7101, 9351, 30381}},
{2108, 15, 2180, {1, 1, 7, 9, 27, 39, 87, 17, 27, 9, 1829, 3031, 4807, 1241, 7225}},
{2109, 15, 2187, {1, 1, 1, 7, 15, 27, 125, 229, 279, 795, 901, 777, 2739, 4913, 30471}},
{2110, 15, 2189, {1, 1, 7, 3, 7, 39, 31, 239, 195, 641, 711, 3109, 587, 9745, 15467}},
{2111, 15, 2190, {1, 3, 7, 3, 19, 63, 101, 179, 393, 501, 1297, 1761, 4251, 7963, 32109}},
{2112, 15, 2208, {1, 3, 7, 13, 31, 43, 87, 167, 167, 865, 1953, 3801, 4015, 13931, 11403}},
{2113, 15, 2214, {1, 1, 7, 5, 25, 63, 17, 213, 323, 563, 1951, 1079, 5741, 6085, 23939}},
{2114, 15, 2237, {1, 1, 3, 1, 27, 29, 15, 67, 511, 437, 1821, 2073, 1511, 291, 32149}},
{2115, 15, 2252, {1, 1, 3, 5, 27, 45, 61, 221, 25, 741, 429, 1703, 109, 2733, 3081}},
{2116, 15, 2257, {1, 3, 1, 15, 27, 35, 1, 111, 467, 383, 1603, 1485, 6121, 14623, 3403}},
{2117, 15, 2260, {1, 3, 3, 7, 17, 29, 55, 89, 177, 927, 1543, 115, 5189, 4881, 9443}},
{2118, 15, 2264, {1, 3, 5, 5, 29, 7, 3, 39, 363, 515, 187, 1657, 5975, 13621, 20045}},
{2119, 15, 2270, {1, 1, 7, 3, 13, 41, 13, 89, 25, 817, 763, 3175, 2981, 3175, 23087}},
{2120, 15, 2279, {1, 1, 5, 1, 1, 41, 85, 41, 305, 163, 55, 1283, 527, 325, 529}},
{2121, 15, 2288, {1, 3, 3, 13, 19, 63, 13, 21, 313, 401, 1871, 3763, 1663, 8395, 17873}},
{2122, 15, 2305, {1, 1, 3, 9, 3, 21, 3, 119, 481, 115, 1221, 1771, 5683, 14329, 8973}},
{2123, 15, 2312, {1, 3, 5, 5, 5, 17, 117, 143, 65, 475, 1483, 363, 1827, 12091, 489}},
{2124, 15, 2317, {1, 3, 5, 13, 21, 51, 35, 17, 391, 133, 291, 2625, 6355, 15173, 30837}},
{2125, 15, 2323, {1, 1, 1, 13, 23, 7, 95, 7, 503, 965, 427, 349, 6847, 3371, 17469}},
{2126, 15, 2329, {1, 1, 3, 11, 19, 11, 51, 79, 307, 495, 1411, 2025, 921, 8977, 11803}},
{2127, 15, 2335, {1, 1, 5, 7, 31, 19, 71, 5, 189, 335, 1677, 3355, 5933, 1949, 15723}},
{2128, 15, 2342, {1, 1, 7, 1, 25, 3, 49, 43, 331, 225, 983, 3249, 7263, 7519, 19271}},
{2129, 15, 2345, {1, 1, 7, 1, 9, 9, 117, 111, 117, 925, 1339, 1933, 2809, 6951, 30905}},
{2130, 15, 2365, {1, 3, 3, 3, 11, 31, 87, 233, 409, 9, 899, 4009, 3099, 9757, 1927}},
{2131, 15, 2371, {1, 1, 3, 9, 23, 17, 79, 123, 221, 579, 299, 3319, 1785, 2703, 3761}},
{2132, 15, 2378, {1, 3, 3, 9, 19, 33, 127, 85, 269, 977, 701, 523, 3611, 10055, 8135}},
{2133, 15, 2385, {1, 3, 7, 1, 15, 5, 47, 77, 85, 475, 769, 3473, 3837, 11149, 23787}},
{2134, 15, 2395, {1, 1, 7, 9, 3, 3, 65, 233, 29, 267, 1119, 2761, 5773, 14011, 1823}},
{2135, 15, 2404, {1, 3, 5, 15, 15, 45, 23, 255, 185, 239, 1063, 1605, 2807, 5405, 21977}},
{2136, 15, 2414, {1, 3, 7, 13, 1, 29, 13, 105, 145, 131, 211, 2749, 8127, 12945, 17625}},
{2137, 15, 2426, {1, 1, 5, 13, 1, 25, 23, 197, 385, 745, 1231, 19, 5267, 2283, 6453}},
{2138, 15, 2428, {1, 3, 1, 5, 27, 63, 107, 179, 87, 351, 1731, 5, 3213, 11093, 24429}},
{2139, 15, 2441, {1, 3, 3, 7, 27, 59, 33, 149, 253, 641, 1295, 2099, 4745, 9815, 24131}},
{2140, 15, 2456, {1, 1, 1, 7, 9, 39, 85, 127, 19, 123, 381, 3053, 6499, 4645, 171}},
{2141, 15, 2466, {1, 1, 3, 15, 23, 11, 39, 61, 279, 255, 1905, 2395, 4037, 15149, 17017}},
{2142, 15, 2468, {1, 3, 3, 5, 7, 21, 45, 41, 5, 81, 1801, 881, 7059, 12367, 15935}},
{2143, 15, 2475, {1, 1, 7, 11, 27, 61, 121, 45, 427, 875, 1907, 3459, 1007, 9257, 13895}},
{2144, 15, 2489, {1, 3, 1, 7, 27, 51, 69, 57, 113, 801, 183, 429, 6317, 7533, 5747}},
{2145, 15, 2495, {1, 1, 3, 13, 3, 11, 67, 121, 397, 1015, 523, 203, 6397, 10349, 26601}},
{2146, 15, 2497, {1, 1, 3, 11, 29, 25, 101, 19, 355, 363, 1053, 3849, 621, 4427, 6575}},
{2147, 15, 2510, {1, 1, 5, 13, 19, 19, 55, 227, 135, 159, 1809, 285, 1715, 10267, 20663}},
{2148, 15, 2512, {1, 3, 5, 13, 25, 13, 3, 47, 279, 171, 1383, 2249, 5739, 5977, 20331}},
{2149, 15, 2522, {1, 1, 3, 5, 1, 37, 45, 241, 479, 675, 767, 2263, 7707, 5597, 13041}},
{2150, 15, 2533, {1, 1, 3, 5, 23, 43, 95, 63, 353, 539, 1043, 2641, 2715, 371, 19919}},
{2151, 15, 2543, {1, 1, 7, 9, 3, 35, 125, 231, 293, 497, 929, 3951, 3207, 6519, 10595}},
{2152, 15, 2551, {1, 3, 3, 9, 9, 61, 51, 139, 207, 493, 1359, 503, 7543, 13317, 32609}},
{2153, 15, 2552, {1, 1, 7, 9, 25, 11, 67, 23, 183, 887, 1819, 1303, 5409, 11631, 7443}},
{2154, 15, 2557, {1, 3, 7, 9, 3, 41, 99, 131, 131, 383, 1005, 2905, 217, 7495, 449}},
{2155, 15, 2567, {1, 3, 1, 9, 7, 45, 9, 77, 393, 699, 1287, 2317, 305, 1057, 4775}},
{2156, 15, 2581, {1, 1, 1, 5, 29, 53, 35, 19, 367, 691, 799, 2543, 3115, 13583, 917}},
{2157, 15, 2586, {1, 1, 3, 7, 23, 63, 11, 13, 59, 785, 1421, 2539, 6407, 1369, 19581}},
{2158, 15, 2597, {1, 1, 5, 7, 21, 1, 23, 17, 311, 77, 1369, 3525, 6233, 9609, 16307}},
{2159, 15, 2601, {1, 3, 1, 13, 27, 33, 113, 199, 291, 409, 913, 1273, 4239, 9415, 28659}},
{2160, 15, 2622, {1, 3, 1, 1, 5, 43, 107, 57, 77, 339, 715, 2699, 6605, 13813, 10187}},
{2161, 15, 2633, {1, 3, 5, 13, 27, 41, 91, 41, 383, 601, 1277, 1255, 775, 337, 11381}},
{2162, 15, 2636, {1, 1, 1, 11, 21, 13, 35, 227, 281, 127, 1297, 3391, 5819, 9537, 16989}},
{2163, 15, 2642, {1, 1, 1, 11, 27, 55, 27, 199, 353, 93, 77, 3859, 7829, 7347, 27481}},
{2164, 15, 2644, {1, 3, 7, 5, 9, 51, 41, 103, 493, 451, 1647, 3715, 7359, 3425, 11765}},
{2165, 15, 2653, {1, 3, 1, 3, 19, 51, 103, 81, 77, 69, 25, 3713, 1949, 11609, 32421}},
{2166, 15, 2667, {1, 1, 5, 3, 9, 63, 15, 61, 333, 567, 1339, 1247, 4309, 12267, 27323}},
{2167, 15, 2669, {1, 1, 3, 1, 13, 29, 89, 23, 291, 729, 1569, 1543, 7807, 10893, 9159}},
{2168, 15, 2672, {1, 1, 7, 9, 11, 23, 73, 91, 383, 511, 769, 3163, 4983, 973, 5971}},
{2169, 15, 2675, {1, 1, 3, 1, 17, 21, 7, 111, 339, 901, 133, 4071, 7993, 373, 7589}},
{2170, 15, 2682, {1, 3, 5, 5, 15, 27, 15, 139, 15, 353, 1323, 1391, 6753, 7553, 11967}},
{2171, 15, 2687, {1, 3, 7, 13, 29, 51, 123, 25, 493, 101, 1521, 3749, 5957, 8173, 31397}},
{2172, 15, 2691, {1, 3, 3, 9, 11, 41, 85, 107, 149, 45, 1655, 675, 2941, 9877, 8321}},
{2173, 15, 2698, {1, 1, 1, 11, 3, 9, 97, 139, 423, 29, 775, 2511, 881, 5813, 22099}},
{2174, 15, 2708, {1, 3, 1, 1, 13, 57, 93, 247, 139, 363, 637, 1065, 691, 6193, 6429}},
{2175, 15, 2712, {1, 3, 7, 15, 5, 27, 29, 107, 155, 473, 341, 909, 657, 2129, 4151}},
{2176, 15, 2718, {1, 3, 3, 9, 15, 59, 33, 21, 141, 475, 571, 3207, 4595, 15357, 1775}},
{2177, 15, 2722, {1, 1, 1, 15, 11, 13, 113, 107, 449, 1019, 1007, 931, 665, 9021, 11681}},
{2178, 15, 2736, {1, 1, 3, 7, 5, 47, 53, 231, 87, 185, 573, 2605, 7887, 14035, 32133}},
{2179, 15, 2741, {1, 3, 7, 9, 5, 31, 9, 47, 427, 489, 877, 1389, 7889, 12147, 16867}},
{2180, 15, 2756, {1, 3, 3, 3, 7, 5, 49, 33, 107, 819, 1651, 3177, 2437, 9161, 15927}},
{2181, 15, 2765, {1, 3, 1, 15, 15, 13, 85, 127, 355, 759, 771, 2661, 2067, 875, 21119}},
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{5838, 17, 971, {1, 3, 5, 3, 9, 49, 119, 31, 201, 1009, 419, 3893, 317, 803, 32205, 29081, 108469}},
{5839, 17, 982, {1, 1, 1, 5, 31, 7, 89, 145, 361, 277, 1797, 151, 2935, 14225, 13637, 52313, 16595}},
{5840, 17, 986, {1, 3, 1, 3, 21, 13, 45, 195, 431, 471, 433, 2451, 6137, 459, 17965, 51409, 48549}},
{5841, 17, 1012, {1, 1, 3, 7, 27, 7, 75, 91, 53, 177, 1987, 1125, 7091, 12643, 5157, 60691, 11697}},
{5842, 17, 1021, {1, 3, 1, 13, 27, 49, 45, 3, 185, 535, 311, 857, 3755, 493, 22261, 16305, 114517}},
{5843, 17, 1024, {1, 3, 3, 13, 11, 37, 119, 153, 463, 219, 751, 1861, 2663, 5841, 24327, 17469, 46883}},
{5844, 17, 1029, {1, 3, 3, 13, 31, 41, 11, 209, 83, 521, 247, 1147, 6005, 493, 23039, 42375, 5745}},
{5845, 17, 1030, {1, 3, 7, 7, 15, 37, 99, 63, 401, 455, 1871, 397, 51, 14463, 9339, 47033, 26417}},
{5846, 17, 1051, {1, 1, 5, 15, 1, 11, 95, 155, 251, 289, 1563, 515, 3351, 2429, 23177, 5163, 105069}},
{5847, 17, 1054, {1, 1, 7, 15, 9, 31, 73, 225, 451, 465, 61, 561, 3923, 9665, 3057, 595, 113879}},
{5848, 17, 1064, {1, 3, 5, 11, 31, 31, 3, 91, 501, 431, 55, 2085, 7645, 13753, 26381, 28181, 71747}},
{5849, 17, 1067, {1, 3, 3, 13, 29, 21, 43, 35, 247, 155, 363, 525, 7049, 2627, 4333, 20183, 53455}},
{5850, 17, 1082, {1, 3, 1, 7, 27, 41, 55, 37, 83, 19, 929, 3945, 2473, 15655, 31001, 28775, 88097}},
{5851, 17, 1096, {1, 3, 3, 7, 13, 37, 115, 61, 371, 135, 1681, 3767, 6009, 10205, 17725, 853, 99761}},
{5852, 17, 1116, {1, 1, 7, 13, 21, 35, 29, 91, 421, 323, 1551, 1431, 3637, 12919, 21541, 29801, 72445}},
{5853, 17, 1119, {1, 1, 3, 3, 11, 35, 117, 105, 235, 67, 1775, 1663, 4441, 9145, 16119, 29813, 129905}},
{5854, 17, 1129, {1, 3, 7, 9, 7, 25, 119, 103, 139, 487, 1693, 3867, 225, 6083, 1899, 11135, 76189}},
{5855, 17, 1130, {1, 3, 7, 15, 3, 41, 3, 29, 307, 91, 1149, 13, 7927, 5607, 32059, 4589, 96217}},
{5856, 17, 1132, {1, 3, 3, 9, 31, 21, 27, 151, 75, 757, 967, 183, 3469, 4479, 18237, 47241, 121575}},
{5857, 17, 1137, {1, 1, 7, 15, 1, 15, 113, 37, 1, 719, 1147, 105, 179, 12541, 18333, 1389, 14267}},
{5858, 17, 1147, {1, 3, 3, 7, 17, 17, 127, 245, 15, 127, 1449, 2269, 3441, 12827, 22623, 44345, 12751}},
{5859, 17, 1150, {1, 3, 5, 7, 15, 57, 53, 173, 295, 813, 1487, 1545, 8051, 10309, 20557, 19129, 109405}},
{5860, 17, 1154, {1, 1, 3, 11, 11, 3, 45, 243, 61, 427, 1385, 3619, 3559, 9333, 13309, 9185, 80711}},
{5861, 17, 1165, {1, 3, 5, 7, 13, 13, 5, 79, 425, 797, 223, 2655, 4537, 9869, 25093, 8787, 74109}},
{5862, 17, 1166, {1, 1, 3, 7, 17, 11, 75, 129, 13, 623, 1831, 1969, 7245, 10965, 18209, 20449, 45021}},
{5863, 17, 1174, {1, 1, 3, 7, 27, 45, 19, 249, 281, 915, 1669, 115, 5445, 15469, 13313, 18185, 6591}},
{5864, 17, 1177, {1, 1, 5, 3, 9, 29, 57, 27, 137, 155, 413, 2171, 3967, 3539, 26269, 4039, 12327}},
{5865, 17, 1184, {1, 3, 7, 9, 23, 33, 83, 151, 351, 579, 493, 2579, 817, 11861, 12799, 21967, 26389}},
{5866, 17, 1194, {1, 1, 5, 7, 27, 43, 17, 131, 77, 147, 775, 2319, 1347, 5883, 16531, 11385, 119917}},
{5867, 17, 1204, {1, 1, 1, 11, 17, 35, 71, 239, 377, 295, 1405, 2213, 2967, 12619, 4193, 24881, 69177}},
{5868, 17, 1208, {1, 3, 5, 1, 23, 29, 83, 193, 319, 69, 289, 3691, 4375, 8671, 29431, 62167, 60179}},
{5869, 17, 1213, {1, 3, 1, 5, 21, 25, 73, 255, 119, 723, 649, 2023, 7717, 15329, 10081, 58301, 8149}},
{5870, 17, 1219, {1, 1, 7, 5, 9, 59, 43, 193, 483, 205, 809, 2563, 5997, 15779, 25257, 14657, 81729}},
{5871, 17, 1233, {1, 1, 1, 13, 9, 25, 7, 239, 39, 775, 937, 3269, 2545, 3629, 25925, 42735, 34815}},
{5872, 17, 1264, {1, 1, 5, 1, 17, 11, 41, 15, 257, 539, 925, 2833, 123, 8783, 13819, 50885, 43317}},
{5873, 17, 1267, {1, 1, 7, 1, 29, 27, 127, 163, 437, 1001, 1285, 3565, 909, 2359, 873, 63423, 35155}},
{5874, 17, 1281, {1, 3, 3, 13, 11, 17, 113, 63, 409, 381, 413, 3551, 7579, 4497, 21427, 48229, 78743}},
{5875, 17, 1312, {1, 1, 3, 9, 3, 31, 117, 75, 75, 509, 837, 1255, 7021, 9033, 28891, 27097, 6839}},
{5876, 17, 1321, {1, 3, 1, 11, 15, 15, 41, 127, 187, 149, 1821, 2427, 5223, 14383, 14709, 37547, 55225}},
{5877, 17, 1330, {1, 1, 7, 1, 11, 49, 95, 119, 509, 591, 375, 407, 3471, 5731, 7789, 61595, 68649}},
{5878, 17, 1332, {1, 1, 3, 5, 23, 23, 75, 149, 83, 193, 627, 1533, 267, 4595, 9097, 62281, 72113}},
{5879, 17, 1335, {1, 3, 7, 7, 29, 13, 35, 175, 333, 735, 13, 1723, 4953, 1475, 25131, 33783, 57499}},
{5880, 17, 1341, {1, 3, 7, 11, 23, 3, 113, 87, 99, 219, 1335, 301, 1829, 13407, 27259, 58391, 114237}},
{5881, 17, 1356, {1, 1, 1, 15, 21, 25, 39, 253, 251, 549, 1847, 2885, 2145, 7339, 9361, 42639, 77347}},
{5882, 17, 1371, {1, 1, 1, 11, 23, 21, 25, 243, 501, 805, 63, 3061, 1383, 14805, 24903, 64033, 102879}},
{5883, 17, 1377, {1, 1, 7, 15, 21, 9, 47, 111, 127, 229, 1583, 1311, 3035, 3877, 3525, 62965, 47477}},
{5884, 17, 1380, {1, 3, 3, 1, 27, 23, 3, 243, 69, 163, 417, 1997, 47, 9707, 19907, 33343, 12411}},
{5885, 17, 1384, {1, 1, 7, 7, 31, 23, 101, 221, 205, 243, 503, 1391, 7785, 165, 25233, 22971, 104135}},
{5886, 17, 1395, {1, 3, 5, 15, 19, 11, 15, 255, 113, 165, 1433, 3967, 6915, 5863, 4201, 2077, 123939}},
{5887, 17, 1397, {1, 1, 5, 13, 5, 11, 25, 43, 79, 969, 181, 185, 2735, 4537, 15929, 44387, 28389}},
{5888, 17, 1411, {1, 1, 3, 15, 23, 11, 103, 245, 439, 221, 1669, 3515, 157, 15721, 22689, 31237, 127441}},
{5889, 17, 1414, {1, 1, 3, 15, 11, 13, 93, 247, 379, 819, 1525, 1681, 5023, 3129, 14481, 61753, 52407}},
{5890, 17, 1426, {1, 1, 5, 11, 1, 57, 1, 67, 17, 997, 439, 2449, 7561, 10751, 23575, 44017, 2755}},
{5891, 17, 1432, {1, 1, 5, 11, 27, 17, 57, 113, 349, 891, 1727, 1961, 6349, 1471, 687, 32989, 98405}},
{5892, 17, 1435, {1, 1, 1, 15, 21, 1, 77, 193, 437, 751, 893, 301, 7605, 9467, 12233, 23257, 61159}},
{5893, 17, 1437, {1, 3, 5, 15, 13, 57, 69, 129, 35, 199, 497, 4027, 3075, 4201, 24597, 34971, 3619}},
{5894, 17, 1442, {1, 3, 3, 9, 25, 53, 49, 109, 331, 49, 2039, 4057, 1319, 5869, 24987, 34775, 51935}},
{5895, 17, 1454, {1, 3, 3, 3, 25, 15, 123, 15, 467, 617, 779, 2283, 7073, 2133, 25763, 22453, 89849}},
{5896, 17, 1468, {1, 3, 5, 15, 29, 39, 87, 47, 151, 801, 807, 1817, 6821, 7685, 481, 12825, 47149}},
{5897, 17, 1473, {1, 3, 3, 1, 17, 39, 63, 175, 123, 625, 165, 1451, 2221, 2373, 27513, 38781, 69963}},
{5898, 17, 1488, {1, 1, 3, 15, 1, 13, 75, 101, 199, 177, 1665, 1507, 7075, 2149, 15581, 51869, 125003}},
{5899, 17, 1491, {1, 1, 5, 7, 11, 57, 93, 65, 65, 205, 1387, 3095, 7861, 12259, 20509, 4933, 22577}},
{5900, 17, 1509, {1, 3, 7, 7, 17, 45, 65, 35, 65, 83, 825, 3907, 6819, 12901, 31113, 45697, 127409}},
{5901, 17, 1524, {1, 1, 5, 13, 27, 61, 57, 171, 463, 21, 683, 3211, 45, 11743, 31085, 27249, 27119}},
{5902, 17, 1533, {1, 3, 7, 7, 19, 11, 127, 159, 225, 431, 1501, 1045, 3019, 1811, 2771, 57457, 10647}},
{5903, 17, 1555, {1, 1, 1, 11, 31, 3, 41, 7, 317, 601, 689, 2547, 8159, 7925, 26889, 19327, 70885}},
{5904, 17, 1567, {1, 1, 7, 7, 1, 47, 119, 97, 221, 629, 853, 433, 1473, 9161, 23687, 34161, 93587}},
{5905, 17, 1571, {1, 3, 3, 13, 3, 49, 3, 203, 83, 897, 1331, 2831, 7445, 13651, 4825, 44093, 123987}},
{5906, 17, 1586, {1, 1, 1, 1, 19, 11, 41, 53, 381, 645, 739, 2149, 261, 1195, 21585, 58773, 125833}},
{5907, 17, 1592, {1, 1, 5, 15, 17, 39, 85, 117, 35, 711, 903, 2769, 3613, 6121, 20767, 56659, 108489}},
{5908, 17, 1595, {1, 1, 3, 5, 27, 61, 41, 153, 301, 553, 1959, 229, 4341, 1547, 26241, 25247, 76963}},
{5909, 17, 1600, {1, 3, 7, 11, 29, 61, 91, 75, 429, 751, 555, 3541, 3083, 4255, 24691, 52983, 47225}},
{5910, 17, 1606, {1, 1, 7, 7, 5, 11, 33, 137, 359, 937, 115, 2299, 4615, 2643, 19243, 9749, 98547}},
{5911, 17, 1627, {1, 1, 1, 5, 17, 19, 65, 195, 41, 659, 759, 3537, 1465, 14815, 18381, 21759, 57669}},
{5912, 17, 1648, {1, 3, 1, 7, 29, 17, 89, 215, 105, 265, 69, 1285, 6807, 13439, 7443, 41707, 19853}},
{5913, 17, 1651, {1, 3, 3, 9, 21, 19, 17, 39, 219, 589, 1533, 2317, 1277, 455, 5935, 2065, 65145}},
{5914, 17, 1654, {1, 3, 7, 3, 31, 3, 77, 63, 5, 217, 2041, 1899, 6843, 15429, 295, 33581, 48777}},
{5915, 17, 1667, {1, 3, 7, 13, 19, 35, 83, 167, 493, 427, 1143, 1429, 991, 7761, 1519, 8453, 117801}},
{5916, 17, 1669, {1, 3, 7, 9, 5, 27, 121, 113, 49, 631, 1977, 3609, 6449, 11999, 10275, 23331, 44821}},
{5917, 17, 1674, {1, 1, 7, 1, 5, 49, 91, 97, 193, 885, 897, 1315, 7201, 10883, 31843, 31457, 89063}},
{5918, 17, 1687, {1, 1, 5, 15, 19, 21, 5, 125, 35, 31, 509, 3817, 5289, 3519, 13717, 1011, 88583}},
{5919, 17, 1698, {1, 3, 1, 5, 9, 21, 101, 19, 105, 609, 1215, 1955, 4487, 5591, 27951, 15495, 19331}},
{5920, 17, 1710, {1, 1, 1, 1, 29, 15, 13, 89, 503, 567, 1115, 4045, 1237, 3815, 31485, 57515, 66569}},
{5921, 17, 1717, {1, 3, 1, 11, 7, 11, 11, 227, 99, 505, 1637, 2323, 6609, 12971, 26981, 57525, 91679}},
{5922, 17, 1722, {1, 3, 7, 7, 13, 17, 21, 111, 409, 509, 1239, 2645, 3967, 29, 8473, 41965, 87215}},
{5923, 17, 1735, {1, 3, 7, 11, 19, 55, 57, 207, 475, 159, 461, 139, 5923, 1717, 20679, 6941, 49337}},
{5924, 17, 1741, {1, 3, 1, 11, 23, 43, 121, 199, 199, 897, 709, 323, 1029, 15139, 10645, 21333, 58007}},
{5925, 17, 1749, {1, 1, 3, 1, 21, 47, 119, 109, 141, 315, 211, 2739, 7737, 8265, 14721, 24537, 23567}},
{5926, 17, 1750, {1, 3, 7, 5, 3, 49, 111, 185, 295, 125, 709, 1141, 4035, 8559, 1245, 22115, 116081}},
{5927, 17, 1769, {1, 3, 1, 15, 19, 15, 125, 23, 351, 561, 1515, 2277, 2629, 1619, 2589, 49009, 99097}},
{5928, 17, 1775, {1, 3, 1, 13, 27, 59, 37, 17, 37, 483, 585, 1051, 3613, 14685, 31425, 30091, 82333}},
{5929, 17, 1777, {1, 3, 7, 3, 27, 19, 77, 115, 441, 801, 1781, 3725, 471, 7811, 19259, 23857, 66903}},
{5930, 17, 1778, {1, 1, 5, 15, 1, 39, 59, 49, 283, 139, 1313, 2039, 3209, 35, 28025, 1795, 14825}},
{5931, 17, 1792, {1, 3, 1, 15, 19, 53, 1, 239, 17, 349, 541, 885, 3107, 7187, 25965, 24883, 40749}},
{5932, 17, 1797, {1, 3, 5, 11, 17, 9, 91, 171, 97, 257, 1595, 1345, 1623, 10357, 4331, 54217, 77053}},
{5933, 17, 1802, {1, 3, 5, 3, 25, 25, 111, 189, 371, 247, 1203, 3215, 5171, 6821, 21925, 24525, 15973}},
{5934, 17, 1822, {1, 1, 5, 7, 9, 13, 49, 111, 325, 931, 269, 2031, 2453, 1437, 9895, 19819, 31141}},
{5935, 17, 1825, {1, 1, 3, 1, 27, 53, 49, 207, 301, 499, 1457, 3193, 2191, 9225, 26789, 42143, 15123}},
{5936, 17, 1831, {1, 1, 1, 11, 7, 15, 125, 61, 129, 757, 1295, 359, 3085, 14969, 31595, 65509, 114643}},
{5937, 17, 1838, {1, 1, 1, 5, 19, 19, 31, 249, 201, 117, 1961, 2301, 795, 11445, 4311, 2691, 25319}},
{5938, 17, 1852, {1, 1, 3, 11, 5, 25, 95, 163, 237, 531, 3, 297, 3939, 1015, 5191, 18211, 94089}},
{5939, 17, 1855, {1, 3, 7, 15, 7, 49, 49, 77, 413, 643, 907, 3413, 5439, 11633, 16099, 6031, 30165}},
{5940, 17, 1860, {1, 1, 3, 13, 17, 27, 13, 41, 235, 157, 1643, 3777, 3317, 10145, 26273, 32649, 95775}},
{5941, 17, 1867, {1, 3, 1, 13, 15, 1, 89, 3, 41, 5, 781, 2081, 1891, 1995, 30739, 44031, 11441}},
{5942, 17, 1869, {1, 1, 7, 13, 21, 9, 49, 9, 111, 921, 1687, 117, 6057, 2705, 20463, 13305, 4247}},
{5943, 17, 1875, {1, 3, 3, 7, 17, 43, 21, 169, 133, 919, 1661, 865, 2801, 1719, 22593, 3603, 23371}},
{5944, 17, 1882, {1, 1, 7, 9, 23, 63, 47, 57, 325, 89, 1413, 2625, 1731, 1253, 16917, 40209, 113827}},
{5945, 17, 1903, {1, 3, 1, 11, 15, 31, 95, 125, 483, 631, 635, 2893, 6901, 793, 13225, 24849, 81543}},
{5946, 17, 1908, {1, 1, 7, 9, 9, 37, 117, 139, 305, 127, 1913, 1421, 1743, 9337, 5987, 47431, 95089}},
{5947, 17, 1917, {1, 1, 7, 9, 19, 33, 33, 35, 319, 603, 1799, 1287, 4393, 13967, 27871, 8337, 99693}},
{5948, 17, 1927, {1, 1, 7, 13, 9, 15, 19, 181, 265, 65, 519, 585, 6693, 4733, 14557, 23617, 94823}},
{5949, 17, 1941, {1, 1, 3, 13, 9, 7, 89, 31, 101, 403, 1903, 801, 7551, 6711, 13375, 41739, 102609}},
{5950, 17, 1945, {1, 1, 1, 15, 15, 7, 61, 73, 413, 693, 1693, 1633, 3811, 9469, 17735, 35407, 121389}},
{5951, 17, 1948, {1, 3, 3, 3, 5, 15, 3, 157, 331, 717, 117, 3787, 7283, 3005, 7131, 10611, 545}},
{5952, 17, 1962, {1, 3, 5, 5, 17, 13, 115, 5, 371, 49, 1345, 1959, 1107, 12189, 19951, 13471, 101613}},
{5953, 17, 1975, {1, 3, 3, 11, 5, 13, 47, 97, 265, 719, 1765, 1009, 7841, 893, 27067, 28465, 5573}},
{5954, 17, 1976, {1, 1, 7, 1, 7, 29, 121, 209, 283, 495, 1367, 1089, 2519, 6965, 16875, 56481, 110483}},
{5955, 17, 1987, {1, 1, 3, 13, 11, 61, 7, 179, 295, 715, 579, 2805, 4007, 14819, 12575, 25637, 4871}},
{5956, 17, 1993, {1, 1, 7, 13, 17, 25, 89, 251, 435, 487, 1581, 3367, 3063, 9529, 807, 46189, 89795}},
{5957, 17, 2004, {1, 3, 7, 11, 1, 49, 49, 231, 137, 193, 227, 3213, 6825, 12771, 25813, 11861, 62785}},
{5958, 17, 2020, {1, 1, 7, 7, 15, 55, 117, 105, 151, 149, 637, 1091, 6435, 1371, 8471, 23661, 73767}},
{5959, 17, 2029, {1, 1, 7, 5, 21, 57, 101, 241, 17, 353, 231, 2513, 5301, 735, 13513, 19083, 105371}},
{5960, 17, 2030, {1, 3, 1, 5, 3, 53, 127, 139, 29, 399, 2023, 3705, 3381, 545, 26255, 4473, 43667}},
{5961, 17, 2038, {1, 1, 3, 13, 25, 19, 19, 123, 321, 751, 1499, 4025, 4253, 6219, 25039, 245, 72777}},
{5962, 17, 2041, {1, 3, 5, 5, 31, 39, 5, 207, 413, 523, 1965, 1875, 6681, 5129, 25525, 44591, 42689}},
{5963, 17, 2048, {1, 1, 1, 5, 25, 45, 47, 119, 123, 89, 779, 1371, 5151, 16343, 29037, 14395, 114981}},
{5964, 17, 2054, {1, 3, 3, 5, 29, 31, 1, 237, 313, 123, 257, 2455, 1665, 13821, 2825, 58087, 99261}},
{5965, 17, 2057, {1, 3, 1, 9, 15, 9, 33, 51, 393, 47, 1079, 3133, 7169, 6991, 10387, 7597, 11961}},
{5966, 17, 2058, {1, 3, 5, 11, 17, 7, 121, 219, 97, 851, 1755, 2929, 3301, 5989, 20019, 42519, 7873}},
{5967, 17, 2068, {1, 1, 1, 1, 3, 21, 79, 117, 183, 447, 1559, 703, 1083, 13193, 17299, 58261, 16757}},
{5968, 17, 2072, {1, 1, 1, 15, 21, 29, 5, 139, 453, 479, 811, 3519, 8117, 2863, 19231, 42567, 103619}},
{5969, 17, 2075, {1, 1, 1, 13, 1, 51, 83, 103, 379, 183, 1731, 1915, 2889, 2571, 26495, 58535, 9195}},
{5970, 17, 2077, {1, 3, 1, 15, 17, 11, 63, 155, 491, 469, 643, 2757, 4653, 13487, 3151, 7319, 116595}},
{5971, 17, 2082, {1, 3, 5, 7, 31, 57, 21, 173, 421, 869, 1923, 855, 1291, 11385, 16641, 33643, 14113}},
{5972, 17, 2084, {1, 3, 5, 5, 23, 59, 61, 135, 389, 113, 857, 1243, 1917, 7693, 18279, 63449, 19471}},
{5973, 17, 2087, {1, 1, 3, 3, 3, 1, 67, 55, 407, 167, 95, 2067, 589, 4141, 6139, 61253, 55169}},
{5974, 17, 2101, {1, 3, 5, 15, 7, 35, 7, 219, 361, 669, 839, 2381, 3277, 4447, 5905, 53231, 23755}},
{5975, 17, 2111, {1, 3, 7, 11, 31, 7, 77, 121, 469, 29, 651, 2675, 4559, 6279, 27223, 52091, 129843}},
{5976, 17, 2113, {1, 1, 3, 11, 17, 47, 5, 221, 497, 771, 1399, 4055, 4841, 3929, 7285, 52605, 91391}},
{5977, 17, 2119, {1, 3, 1, 5, 31, 5, 35, 151, 347, 599, 253, 2187, 1161, 15323, 11149, 34069, 119069}},
{5978, 17, 2147, {1, 1, 3, 1, 23, 37, 61, 187, 509, 751, 1293, 1131, 4695, 3487, 12339, 11819, 27239}},
{5979, 17, 2154, {1, 1, 1, 3, 9, 27, 11, 217, 109, 783, 1613, 2073, 3423, 1983, 7251, 56441, 122967}},
{5980, 17, 2161, {1, 3, 1, 9, 31, 63, 3, 121, 111, 573, 37, 2419, 1725, 12015, 8079, 55003, 33449}},
{5981, 17, 2164, {1, 1, 7, 11, 25, 3, 15, 129, 323, 427, 1983, 1405, 2305, 7735, 23493, 6865, 71895}},
{5982, 17, 2177, {1, 3, 1, 13, 21, 5, 61, 241, 235, 737, 667, 3119, 825, 6097, 1729, 5561, 88423}},
{5983, 17, 2178, {1, 3, 5, 9, 25, 1, 57, 59, 435, 29, 1473, 2789, 103, 7459, 5285, 26615, 36497}},
{5984, 17, 2184, {1, 1, 3, 9, 11, 47, 123, 63, 309, 505, 1735, 637, 1915, 5729, 26343, 42547, 86783}},
{5985, 17, 2198, {1, 1, 1, 3, 13, 41, 15, 93, 507, 793, 1635, 3021, 4803, 15761, 13589, 60039, 11647}},
{5986, 17, 2201, {1, 3, 5, 15, 27, 49, 55, 219, 185, 817, 1959, 3023, 3105, 12443, 30191, 30671, 1601}},
{5987, 17, 2213, {1, 1, 3, 1, 17, 15, 13, 133, 403, 155, 29, 3587, 229, 8811, 4967, 12633, 31213}},
{5988, 17, 2217, {1, 3, 1, 3, 15, 11, 41, 177, 191, 523, 541, 3691, 5353, 131, 7261, 17133, 75713}},
{5989, 17, 2228, {1, 1, 3, 7, 1, 23, 33, 163, 207, 475, 1145, 3811, 7407, 2793, 19647, 49395, 81739}},
{5990, 17, 2240, {1, 3, 7, 11, 11, 47, 105, 39, 509, 579, 959, 1427, 5533, 10283, 22477, 9159, 35261}},
{5991, 17, 2245, {1, 3, 1, 13, 23, 33, 35, 193, 297, 675, 899, 1933, 6243, 14213, 8641, 28363, 114883}},
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{7933, 17, 18885, {1, 1, 7, 9, 15, 17, 35, 155, 459, 161, 817, 867, 513, 10915, 1231, 7369, 84865}},
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{7936, 17, 18903, {1, 1, 3, 13, 21, 7, 103, 219, 283, 235, 193, 723, 3909, 15239, 28373, 5961, 59495}},
{7937, 17, 18910, {1, 1, 5, 11, 29, 7, 37, 205, 7, 585, 715, 3449, 1031, 11067, 5955, 17639, 51161}},
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{7957, 17, 19086, {1, 3, 1, 3, 3, 39, 51, 65, 189, 949, 1247, 4069, 885, 4165, 25855, 61525, 42409}},
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{9901, 17, 35497, {1, 1, 3, 3, 23, 19, 43, 105, 57, 51, 1277, 2533, 381, 1417, 5189, 9697, 6603}},
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{9913, 17, 35598, {1, 3, 5, 7, 9, 31, 51, 73, 459, 173, 1515, 3323, 215, 4713, 17495, 42399, 20425}},
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{9945, 17, 35879, {1, 3, 1, 9, 3, 29, 65, 205, 285, 655, 1603, 2263, 2905, 15811, 19351, 57767, 91289}},
{9946, 17, 35880, {1, 1, 7, 15, 7, 11, 73, 39, 455, 603, 735, 2951, 2635, 11485, 8547, 61383, 68047}},
{9947, 17, 35891, {1, 3, 5, 15, 19, 19, 15, 191, 191, 471, 191, 541, 1591, 12723, 3007, 56559, 30707}},
{9948, 17, 35893, {1, 1, 1, 7, 7, 23, 29, 247, 419, 53, 895, 3679, 101, 11207, 22867, 27089, 97975}},
{9949, 17, 35903, {1, 3, 7, 1, 1, 37, 3, 19, 425, 291, 1383, 3979, 2415, 8891, 26751, 27999, 70327}},
{9950, 17, 35905, {1, 3, 7, 15, 7, 21, 27, 19, 425, 803, 1415, 3771, 3119, 14381, 1401, 22014, 26403}},
{9951, 17, 35926, {1, 1, 3, 5, 7, 49, 27, 159, 111, 743, 1385, 2089, 4375, 2009, 20629, 34179, 63883}},
{9952, 17, 35930, {1, 3, 3, 3, 21, 57, 57, 23, 503, 409, 867, 1989, 347, 2475, 7173, 41319, 5993}},
{9953, 17, 35941, {1, 3, 7, 7, 29, 43, 71, 127, 15, 605, 93, 567, 1313, 13017, 12877, 58933, 72675}},
{9954, 17, 35956, {1, 3, 5, 3, 27, 21, 107, 107, 325, 687, 587, 1557, 4913, 11869, 25131, 18879, 70075}},
{9955, 17, 35963, {1, 3, 3, 1, 23, 15, 77, 19, 479, 847, 1697, 185, 1061, 5893, 14753, 12219, 51637}},
{9956, 17, 35970, {1, 3, 3, 13, 5, 41, 123, 177, 429, 1017, 1797, 2001, 2841, 8721, 801, 28153, 122887}},
{9957, 17, 35984, {1, 1, 7, 9, 17, 41, 51, 9, 51, 379, 1941, 1823, 4731, 5143, 28733, 3749, 109361}},
{9958, 17, 35996, {1, 3, 1, 1, 5, 39, 71, 237, 459, 235, 1881, 9, 3951, 14293, 25441, 27505, 128047}},
{9959, 17, 36005, {1, 3, 1, 15, 25, 47, 95, 169, 105, 531, 365, 647, 2983, 8905, 26727, 37695, 119619}},
{9960, 17, 36012, {1, 1, 1, 9, 29, 9, 111, 73, 311, 461, 1763, 3203, 7121, 14897, 1885, 31243, 77033}},
{9961, 17, 36015, {1, 1, 7, 1, 17, 13, 63, 159, 389, 959, 1279, 1543, 7317, 5313, 25009, 12099, 80063}},
{9962, 17, 36030, {1, 3, 1, 9, 15, 13, 53, 127, 357, 681, 1017, 3131, 2453, 13955, 2841, 32607, 85051}},
{9963, 17, 36035, {1, 1, 1, 5, 5, 5, 5, 95, 355, 685, 955, 1293, 43, 12261, 23029, 25779, 34693}},
{9964, 17, 36042, {1, 3, 5, 5, 21, 61, 23, 47, 297, 517, 1973, 3265, 3087, 15087, 23989, 57285, 116915}},
{9965, 17, 36047, {1, 1, 3, 5, 5, 59, 39, 149, 387, 3, 949, 199, 5335, 6039, 12571, 20083, 59841}},
{9966, 17, 36049, {1, 1, 1, 9, 3, 15, 29, 99, 499, 493, 53, 2371, 3429, 2701, 9825, 39271, 3529}},
{9967, 17, 36059, {1, 3, 5, 1, 17, 59, 1, 91, 385, 561, 1161, 2317, 1855, 9907, 13695, 15857, 4437}},
{9968, 17, 36071, {1, 3, 7, 1, 21, 7, 105, 43, 69, 811, 713, 4021, 3169, 9187, 24387, 27351, 11697}},
{9969, 17, 36080, {1, 3, 1, 13, 23, 3, 121, 41, 81, 353, 1003, 875, 3785, 8353, 25749, 54153, 28335}},
{9970, 17, 36085, {1, 1, 7, 7, 25, 27, 105, 135, 109, 969, 1813, 799, 8117, 7227, 25745, 56661, 43071}},
{9971, 17, 36097, {1, 3, 3, 9, 17, 45, 75, 231, 307, 831, 1311, 2675, 5519, 11789, 16955, 58757, 124875}},
{9972, 17, 36110, {1, 3, 3, 1, 7, 43, 59, 51, 349, 361, 1303, 2947, 2811, 823, 27089, 60225, 65621}},
{9973, 17, 36115, {1, 3, 1, 1, 5, 11, 107, 177, 97, 919, 861, 3587, 461, 3449, 30299, 56873, 88073}},
{9974, 17, 36118, {1, 1, 5, 1, 15, 43, 87, 117, 347, 535, 1195, 4007, 3855, 10617, 181, 36127, 53067}},
{9975, 17, 36124, {1, 1, 7, 1, 9, 53, 121, 147, 339, 479, 1103, 3405, 6293, 13913, 22753, 63219, 114581}},
{9976, 17, 36137, {1, 1, 3, 11, 7, 21, 117, 11, 9, 971, 1367, 421, 1089, 6023, 30743, 55887, 8709}},
{9977, 17, 36138, {1, 3, 5, 3, 3, 17, 53, 59, 357, 725, 1141, 1131, 2559, 14931, 8385, 21185, 17611}},
{9978, 17, 36155, {1, 3, 1, 1, 25, 29, 63, 31, 47, 501, 237, 1659, 1573, 7203, 27885, 929, 16193}},
{9979, 17, 36160, {1, 3, 7, 11, 15, 17, 111, 35, 389, 789, 957, 3071, 3683, 15373, 20489, 19473, 113397}},
{9980, 17, 36189, {1, 1, 5, 7, 19, 55, 35, 87, 29, 305, 1467, 3991, 229, 11059, 4453, 48733, 43587}},
{9981, 17, 36190, {1, 1, 3, 9, 15, 13, 49, 95, 145, 461, 1009, 1365, 2035, 1565, 27477, 34083, 112001}},
{9982, 17, 36203, {1, 3, 3, 9, 1, 35, 89, 237, 95, 1021, 1845, 2465, 51, 11345, 15243, 50477, 106335}},
{9983, 17, 36211, {1, 1, 1, 13, 21, 37, 37, 147, 433, 835, 651, 401, 7323, 13809, 27045, 63155, 28537}},
{9984, 17, 36218, {1, 1, 7, 7, 17, 27, 37, 157, 505, 485, 897, 4063, 2627, 6857, 23823, 27659, 68481}},
{9985, 17, 36230, {1, 3, 3, 9, 17, 5, 1, 205, 411, 445, 5, 2989, 247, 4117, 24353, 57983, 45263}},
{9986, 17, 36241, {1, 3, 3, 11, 23, 45, 31, 99, 335, 937, 349, 2189, 6535, 13591, 14395, 58535, 113411}},
{9987, 17, 36244, {1, 1, 7, 7, 15, 3, 113, 189, 333, 83, 1793, 1901, 473, 7973, 31689, 6883, 114677}},
{9988, 17, 36253, {1, 3, 7, 1, 29, 9, 57, 29, 195, 301, 131, 3783, 4041, 11845, 8879, 39859, 75915}},
{9989, 17, 36257, {1, 1, 7, 5, 21, 25, 85, 51, 501, 147, 1643, 765, 329, 15437, 25545, 48523, 114089}},
{9990, 17, 36264, {1, 1, 1, 15, 21, 3, 123, 169, 393, 39, 1583, 3973, 4243, 10811, 15029, 19707, 41651}},
{9991, 17, 36272, {1, 3, 7, 11, 19, 49, 23, 45, 399, 285, 1609, 371, 7297, 289, 23247, 30655, 11101}},
{9992, 17, 36290, {1, 1, 7, 1, 25, 47, 73, 73, 347, 203, 155, 1133, 7087, 5, 25233, 33297, 50269}},
{9993, 17, 36292, {1, 3, 1, 3, 13, 57, 125, 41, 467, 73, 1097, 3533, 3221, 12227, 20019, 27319, 29725}},
{9994, 17, 36301, {1, 3, 3, 7, 21, 19, 101, 149, 79, 821, 1881, 2023, 1323, 12943, 32733, 2371, 125757}},
{9995, 17, 36309, {1, 3, 1, 9, 11, 17, 25, 89, 507, 455, 875, 2139, 4359, 3385, 23459, 25129, 2757}},
{9996, 17, 36313, {1, 3, 3, 9, 25, 33, 15, 79, 269, 97, 1913, 2433, 4515, 3677, 16789, 24675, 57983}},
{9997, 17, 36316, {1, 1, 7, 13, 21, 21, 51, 71, 401, 883, 1185, 3625, 6657, 12195, 16509, 60269, 67187}},
{9998, 17, 36319, {1, 1, 3, 9, 15, 23, 21, 173, 387, 889, 1261, 3375, 2957, 6467, 31111, 17207, 107807}},
{9999, 17, 36330, {1, 3, 5, 13, 7, 35, 87, 43, 439, 809, 1027, 3681, 7861, 10835, 11057, 9943, 10777}},
{10000, 17, 36335, {1, 1, 5, 7, 29, 37, 97, 235, 43, 557, 1133, 2827, 8057, 2229, 2357, 435, 109501}},
{10001, 17, 36347, {1, 3, 3, 9, 5, 19, 43, 165, 385, 243, 1985, 3413, 4683, 149, 13877, 35527, 77321}},
{10002, 17, 36353, {1, 3, 3, 13, 17, 5, 111, 101, 189, 401, 1609, 1757, 2435, 10719, 14007, 51101, 82737}},
{10003, 17, 36356, {1, 3, 3, 11, 21, 55, 73, 27, 3, 223, 1461, 87, 6437, 10073, 20041, 49531, 82791}},
{10004, 17, 36368, {1, 3, 3, 7, 3, 57, 29, 223, 205, 83, 1797, 3009, 661, 7713, 26925, 45159, 23887}},
{10005, 17, 36374, {1, 3, 3, 15, 15, 3, 1, 221, 121, 881, 929, 2179, 2997, 15873, 1677, 23247, 25315}},
{10006, 17, 36377, {1, 3, 5, 13, 21, 51, 19, 227, 21, 263, 503, 117, 7303, 14993, 26441, 26305, 4273}},
{10007, 17, 36384, {1, 1, 5, 13, 27, 43, 39, 115, 365, 209, 1845, 2045, 777, 16085, 13245, 27067, 61461}},
{10008, 17, 36407, {1, 1, 7, 5, 23, 61, 47, 211, 295, 639, 1879, 3303, 7141, 9149, 1717, 61057, 58593}},
{10009, 17, 36413, {1, 1, 3, 9, 29, 23, 105, 83, 305, 963, 1651, 3723, 4009, 2293, 29635, 4535, 51541}},
{10010, 17, 36419, {1, 3, 3, 1, 25, 43, 69, 63, 239, 353, 1481, 1055, 4759, 6467, 29589, 11883, 4985}},
{10011, 17, 36425, {1, 1, 3, 13, 13, 51, 23, 135, 75, 379, 1671, 301, 545, 5, 18595, 55871, 13739}},
{10012, 17, 36426, {1, 3, 7, 7, 17, 17, 53, 101, 211, 753, 1473, 2827, 3771, 2533, 5555, 1407, 4531}},
{10013, 17, 36446, {1, 3, 7, 13, 29, 29, 63, 19, 301, 391, 1247, 2687, 7619, 15141, 13043, 45775, 112277}},
{10014, 17, 36461, {1, 3, 3, 3, 11, 53, 109, 111, 361, 57, 217, 2585, 6671, 3811, 9007, 20331, 49647}},
{10015, 17, 36467, {1, 1, 1, 7, 1, 23, 117, 91, 35, 185, 2003, 3449, 1369, 10019, 25605, 19665, 89875}},
{10016, 17, 36474, {1, 1, 1, 13, 11, 51, 25, 199, 327, 635, 1813, 3803, 263, 11079, 5491, 36351, 107311}},
{10017, 17, 36480, {1, 1, 7, 11, 11, 11, 41, 69, 449, 1013, 333, 2989, 1177, 129, 25473, 63021, 31849}},
{10018, 17, 36486, {1, 3, 1, 1, 5, 39, 1, 209, 387, 787, 233, 2201, 4325, 14445, 24113, 44945, 113383}},
{10019, 17, 36489, {1, 1, 5, 1, 27, 13, 17, 157, 487, 773, 383, 957, 3195, 5793, 23335, 35011, 55289}},
{10020, 17, 36495, {1, 3, 5, 7, 3, 13, 45, 19, 49, 821, 811, 3633, 7611, 10035, 77, 34677, 107709}},
{10021, 17, 36525, {1, 1, 5, 9, 27, 47, 41, 109, 19, 629, 1445, 1303, 3117, 4455, 22815, 27033, 65465}},
{10022, 17, 36526, {1, 1, 7, 7, 25, 35, 29, 125, 83, 529, 95, 1567, 5835, 9157, 17533, 24367, 52783}},
{10023, 17, 36533, {1, 1, 1, 7, 25, 1, 121, 83, 479, 305, 1941, 2173, 1097, 7675, 23393, 19261, 33673}},
{10024, 17, 36534, {1, 3, 7, 9, 13, 57, 127, 37, 137, 885, 973, 3353, 6789, 5113, 11741, 4389, 93357}},
{10025, 17, 36540, {1, 3, 7, 11, 11, 41, 111, 79, 77, 573, 1553, 1157, 6881, 4365, 17155, 9275, 16693}},
{10026, 17, 36555, {1, 1, 7, 7, 31, 51, 71, 29, 113, 749, 147, 1219, 7061, 15205, 4605, 41479, 86627}},
{10027, 17, 36563, {1, 3, 3, 9, 3, 57, 55, 127, 387, 479, 195, 2019, 6257, 3427, 26131, 26077, 31265}},
{10028, 17, 36565, {1, 3, 7, 7, 23, 53, 35, 3, 425, 831, 1829, 177, 2447, 2847, 11861, 187, 36941}},
{10029, 17, 36588, {1, 3, 5, 11, 3, 13, 89, 51, 63, 373, 1009, 2633, 1341, 11369, 7829, 58229, 114597}},
{10030, 17, 36593, {1, 3, 7, 5, 23, 51, 87, 245, 301, 875, 1759, 1853, 1423, 2681, 767, 25311, 11827}},
{10031, 17, 36596, {1, 3, 7, 5, 25, 9, 119, 49, 63, 475, 1019, 3759, 5249, 9275, 15849, 19935, 74515}},
{10032, 17, 36606, {1, 3, 5, 15, 9, 3, 41, 67, 467, 609, 203, 1971, 4541, 4801, 27347, 60783, 9681}},
{10033, 17, 36614, {1, 1, 3, 15, 29, 43, 93, 61, 449, 389, 1253, 2093, 6847, 13663, 27851, 26163, 60755}},
{10034, 17, 36626, {1, 3, 3, 13, 11, 47, 47, 87, 101, 515, 441, 2645, 7123, 11787, 9107, 57777, 36063}},
{10035, 17, 36628, {1, 1, 1, 3, 27, 35, 79, 229, 293, 619, 1943, 3765, 5439, 16093, 9447, 57335, 32555}},
{10036, 17, 36641, {1, 1, 5, 13, 31, 59, 47, 229, 399, 623, 1787, 2157, 7135, 14251, 21417, 27929, 28441}},
{10037, 17, 36642, {1, 1, 5, 7, 11, 49, 89, 243, 93, 967, 1351, 1323, 7427, 2655, 15335, 50717, 48895}},
{10038, 17, 36651, {1, 1, 5, 13, 15, 37, 105, 61, 71, 471, 1005, 3781, 4261, 1083, 3469, 54321, 50023}},
{10039, 17, 36653, {1, 1, 7, 9, 19, 61, 45, 217, 465, 765, 1027, 2743, 653, 6523, 5889, 60619, 62139}},
{10040, 17, 36673, {1, 3, 7, 11, 21, 15, 17, 73, 53, 539, 1153, 3231, 5343, 6485, 28591, 19359, 61213}},
{10041, 17, 36676, {1, 1, 5, 13, 23, 15, 95, 155, 25, 549, 9, 2445, 847, 3075, 24169, 44887, 115699}},
{10042, 17, 36679, {1, 1, 5, 1, 7, 61, 19, 133, 229, 341, 1417, 2359, 343, 2973, 11429, 32367, 27849}},
{10043, 17, 36694, {1, 1, 1, 9, 15, 55, 73, 183, 17, 11, 1775, 3807, 605, 13637, 2553, 3381, 121563}},
{10044, 17, 36698, {1, 3, 7, 7, 7, 63, 53, 237, 91, 279, 539, 539, 7841, 11085, 12527, 41639, 49797}},
{10045, 17, 36704, {1, 3, 1, 15, 21, 17, 71, 39, 227, 165, 2029, 1135, 7195, 3599, 27061, 64841, 98267}},
{10046, 17, 36714, {1, 3, 1, 15, 15, 29, 67, 131, 387, 975, 2015, 2095, 3817, 12147, 701, 6795, 11225}},
{10047, 17, 36721, {1, 1, 1, 1, 11, 3, 55, 101, 275, 457, 1279, 1383, 7933, 4093, 3287, 36933, 16325}},
{10048, 17, 36722, {1, 1, 5, 9, 19, 49, 83, 113, 499, 367, 567, 2525, 5497, 2965, 4317, 45797, 83149}},
{10049, 17, 36727, {1, 1, 5, 11, 7, 59, 99, 173, 297, 225, 1957, 867, 969, 5211, 4897, 275, 30171}},
{10050, 17, 36749, {1, 1, 1, 11, 1, 57, 95, 83, 335, 255, 657, 2461, 4631, 14799, 22089, 46137, 36449}},
{10051, 17, 36758, {1, 1, 1, 13, 3, 1, 49, 19, 137, 719, 949, 1537, 2253, 13191, 19551, 41293, 3333}},
{10052, 17, 36761, {1, 3, 3, 7, 23, 37, 19, 1, 387, 499, 847, 293, 1891, 15765, 23195, 49749, 85995}},
{10053, 17, 36771, {1, 3, 7, 11, 15, 53, 23, 143, 87, 257, 1113, 1419, 1735, 13023, 17723, 35, 66515}},
{10054, 17, 36788, {1, 3, 5, 9, 9, 61, 97, 245, 443, 503, 1897, 1957, 59, 15341, 20311, 57947, 60213}},
{10055, 17, 36797, {1, 1, 5, 15, 23, 11, 1, 115, 195, 37, 573, 373, 6187, 63, 20985, 32899, 125135}},
{10056, 17, 36805, {1, 1, 7, 13, 1, 59, 81, 1, 121, 167, 1839, 1051, 5873, 13241, 31423, 4465, 103873}},
{10057, 17, 36830, {1, 3, 1, 15, 3, 37, 53, 211, 325, 915, 305, 2031, 5227, 15041, 5309, 2335, 28475}},
{10058, 17, 36833, {1, 3, 7, 5, 3, 43, 109, 169, 511, 947, 963, 1265, 1867, 8439, 12763, 17209, 62959}},
{10059, 17, 36839, {1, 1, 3, 9, 3, 25, 3, 55, 269, 87, 251, 3005, 3539, 2397, 16187, 61041, 120715}},
{10060, 17, 36843, {1, 3, 1, 1, 23, 23, 13, 231, 477, 19, 1313, 1065, 6755, 10711, 21115, 63893, 52939}},
{10061, 17, 36860, {1, 1, 7, 1, 25, 27, 127, 37, 489, 677, 1857, 2853, 6691, 14447, 25243, 61797, 109587}},
{10062, 17, 36866, {1, 3, 5, 9, 13, 7, 85, 231, 281, 1015, 829, 1659, 2259, 10725, 22391, 55987, 58811}},
{10063, 17, 36871, {1, 1, 7, 9, 13, 33, 51, 101, 107, 195, 255, 3893, 3939, 14219, 25995, 63501, 96483}},
{10064, 17, 36875, {1, 3, 5, 15, 13, 17, 115, 195, 341, 97, 995, 641, 2373, 10921, 30971, 57463, 16657}},
{10065, 17, 36877, {1, 3, 7, 3, 17, 57, 121, 147, 423, 925, 961, 3837, 7551, 12065, 13783, 35679, 51365}},
{10066, 17, 36880, {1, 3, 5, 11, 19, 27, 35, 179, 441, 397, 603, 2935, 7741, 2041, 30259, 9589, 113541}},
{10067, 17, 36892, {1, 3, 5, 3, 27, 13, 79, 91, 83, 579, 203, 683, 3163, 8391, 4849, 64795, 26011}},
{10068, 17, 36911, {1, 3, 7, 7, 31, 33, 31, 121, 17, 871, 1563, 1673, 2587, 11209, 1633, 27517, 76227}},
{10069, 17, 36914, {1, 1, 7, 1, 15, 31, 79, 37, 217, 829, 1439, 1885, 2517, 3375, 3521, 44845, 119393}},
{10070, 17, 36916, {1, 3, 5, 13, 25, 25, 77, 89, 331, 471, 1323, 353, 3409, 6953, 17551, 36643, 100673}},
{10071, 17, 36923, {1, 1, 3, 5, 25, 11, 65, 57, 301, 695, 221, 2313, 7423, 5879, 32453, 14197, 89303}},
{10072, 17, 36940, {1, 3, 1, 7, 11, 61, 59, 219, 273, 931, 1311, 1203, 6965, 3479, 26721, 40719, 62397}},
{10073, 17, 36943, {1, 1, 5, 13, 23, 9, 101, 173, 261, 433, 1375, 2721, 1587, 12531, 20877, 17275, 68839}},
{10074, 17, 36948, {1, 3, 7, 5, 15, 45, 89, 157, 129, 623, 1307, 3493, 3383, 11561, 28771, 50823, 50099}},
{10075, 17, 36957, {1, 3, 7, 5, 3, 41, 103, 55, 193, 361, 1421, 2239, 6049, 2245, 26757, 64233, 3933}},
{10076, 17, 36958, {1, 1, 5, 9, 11, 15, 115, 195, 17, 743, 2005, 3345, 5753, 14603, 29229, 11199, 58937}},
{10077, 17, 36967, {1, 3, 7, 3, 31, 61, 43, 177, 485, 711, 79, 3387, 8065, 5135, 5421, 35607, 32783}},
{10078, 17, 36974, {1, 3, 1, 11, 29, 61, 73, 93, 157, 405, 1843, 1125, 7071, 4009, 16643, 21253, 117935}},
{10079, 17, 36981, {1, 1, 3, 1, 15, 21, 83, 105, 123, 297, 309, 2275, 763, 9069, 28451, 32729, 124591}},
{10080, 17, 37001, {1, 1, 7, 11, 13, 51, 35, 7, 485, 905, 465, 163, 1007, 5923, 13559, 5575, 102755}},
{10081, 17, 37012, {1, 3, 7, 7, 3, 57, 69, 217, 209, 341, 1591, 3151, 3575, 1787, 30335, 44377, 82517}},
{10082, 17, 37015, {1, 1, 3, 15, 7, 37, 121, 77, 97, 99, 1499, 349, 4205, 16229, 31279, 32539, 18057}},
{10083, 17, 37019, {1, 1, 7, 11, 23, 59, 83, 77, 11, 413, 1379, 3875, 851, 10949, 24169, 24495, 27945}},
{10084, 17, 37035, {1, 1, 3, 9, 23, 1, 9, 239, 343, 37, 229, 751, 7525, 7333, 11653, 10529, 122991}},
{10085, 17, 37040, {1, 3, 3, 9, 23, 3, 69, 129, 179, 519, 1949, 2933, 439, 9925, 12635, 18005, 3009}},
{10086, 17, 37063, {1, 3, 1, 13, 17, 1, 109, 43, 313, 865, 1713, 3329, 167, 6203, 14915, 40173, 83181}},
{10087, 17, 37064, {1, 1, 1, 9, 3, 29, 43, 101, 445, 295, 269, 3637, 7333, 10677, 14777, 44203, 36491}},
{10088, 17, 37069, {1, 1, 3, 1, 29, 47, 49, 157, 99, 1015, 525, 2265, 4217, 1493, 21367, 28015, 115923}},
{10089, 17, 37077, {1, 1, 3, 11, 31, 15, 19, 85, 491, 23, 283, 139, 3715, 2197, 7563, 50881, 29255}},
{10090, 17, 37093, {1, 3, 3, 9, 27, 29, 123, 193, 417, 509, 531, 1969, 2627, 15557, 30429, 61599, 91847}},
{10091, 17, 37097, {1, 3, 5, 11, 1, 21, 109, 177, 427, 303, 303, 1215, 3, 2745, 17931, 49221, 92711}},
{10092, 17, 37106, {1, 1, 3, 1, 27, 5, 103, 183, 453, 811, 1051, 769, 8121, 10643, 1633, 30395, 4625}},
{10093, 17, 37115, {1, 1, 3, 15, 11, 3, 127, 57, 501, 849, 1355, 19, 1083, 2143, 10763, 32603, 79497}},
{10094, 17, 37118, {1, 1, 7, 9, 21, 51, 61, 87, 29, 281, 1159, 469, 6935, 1587, 21883, 16245, 126065}},
{10095, 17, 37123, {1, 1, 1, 13, 27, 15, 31, 47, 325, 125, 1275, 2417, 1633, 12669, 4149, 23085, 99825}},
{10096, 17, 37129, {1, 3, 5, 13, 31, 25, 93, 235, 453, 61, 1051, 1121, 1241, 11843, 25947, 7881, 119051}},
{10097, 17, 37130, {1, 3, 7, 13, 13, 17, 19, 175, 175, 407, 1119, 781, 7891, 10293, 30503, 45905, 111399}},
{10098, 17, 37135, {1, 1, 1, 11, 19, 39, 59, 17, 475, 669, 323, 3627, 8087, 1057, 25691, 26351, 128137}},
{10099, 17, 37137, {1, 3, 5, 9, 5, 61, 79, 241, 85, 543, 215, 887, 4977, 3797, 8469, 35043, 79153}},
{10100, 17, 37138, {1, 3, 7, 13, 11, 45, 45, 75, 177, 537, 1197, 1721, 8013, 13659, 19085, 17365, 83679}},
{10101, 17, 37140, {1, 3, 5, 15, 17, 15, 107, 33, 57, 1009, 577, 3755, 8055, 15965, 5447, 979, 7737}},
{10102, 17, 37144, {1, 3, 7, 7, 15, 19, 61, 225, 75, 195, 457, 1881, 6865, 9037, 12353, 24127, 50881}},
{10103, 17, 37149, {1, 1, 1, 9, 11, 39, 3, 173, 67, 403, 55, 2227, 1407, 1003, 1725, 33271, 128721}},
{10104, 17, 37156, {1, 3, 5, 3, 21, 17, 31, 99, 275, 327, 879, 2939, 1529, 9589, 803, 30549, 118977}},
{10105, 17, 37159, {1, 3, 3, 1, 17, 43, 1, 195, 205, 979, 679, 699, 6903, 5637, 9411, 22843, 8879}},
{10106, 17, 37163, {1, 3, 1, 5, 27, 29, 25, 145, 433, 723, 1185, 1283, 197, 3389, 3761, 24925, 60855}},
{10107, 17, 37165, {1, 1, 3, 1, 15, 35, 127, 151, 327, 903, 641, 1507, 5, 1269, 29599, 10273, 38277}},
{10108, 17, 37183, {1, 1, 5, 5, 3, 21, 111, 167, 41, 467, 803, 773, 2149, 12889, 10659, 50465, 94233}},
{10109, 17, 37185, {1, 1, 7, 1, 17, 33, 99, 209, 351, 65, 1857, 2367, 1775, 7727, 15059, 37541, 125893}},
{10110, 17, 37195, {1, 3, 5, 3, 11, 17, 47, 91, 115, 229, 1047, 3613, 1339, 13261, 1613, 21971, 47863}},
{10111, 17, 37198, {1, 1, 1, 1, 11, 13, 47, 25, 229, 653, 873, 3335, 6773, 3889, 11975, 51977, 118725}},
{10112, 17, 37203, {1, 1, 7, 5, 13, 57, 103, 101, 465, 291, 467, 2379, 7633, 14915, 2743, 32483, 71265}},
{10113, 17, 37212, {1, 3, 3, 7, 19, 31, 125, 225, 73, 907, 1351, 3213, 6281, 1257, 20769, 45375, 8631}},
{10114, 17, 37233, {1, 1, 1, 3, 19, 51, 117, 83, 495, 269, 939, 453, 7927, 6321, 12261, 20355, 40737}},
{10115, 17, 37236, {1, 1, 7, 15, 5, 11, 107, 209, 503, 333, 1317, 2419, 2291, 1835, 17773, 54467, 54355}},
{10116, 17, 37240, {1, 1, 7, 13, 7, 55, 49, 193, 271, 821, 103, 2551, 4089, 7225, 17055, 37139, 114215}},
{10117, 17, 37256, {1, 1, 3, 15, 13, 21, 109, 75, 159, 711, 645, 3363, 2595, 6665, 411, 21815, 121545}},
{10118, 17, 37264, {1, 3, 1, 3, 11, 31, 31, 175, 277, 537, 2035, 2649, 4629, 4765, 17291, 58759, 10223}},
{10119, 17, 37267, {1, 1, 7, 3, 9, 21, 57, 181, 285, 667, 109, 3247, 6881, 3713, 3667, 33743, 105161}},
{10120, 17, 37273, {1, 3, 5, 5, 1, 63, 51, 69, 293, 519, 1297, 3073, 7659, 829, 25307, 2187, 32613}},
{10121, 17, 37295, {1, 1, 5, 9, 11, 57, 29, 193, 427, 709, 1429, 1185, 4341, 5917, 2441, 53145, 32039}},
{10122, 17, 37315, {1, 1, 1, 7, 29, 55, 11, 71, 283, 223, 1999, 2597, 5887, 5097, 29055, 21741, 65855}},
{10123, 17, 37330, {1, 3, 3, 7, 13, 31, 101, 211, 323, 85, 961, 2833, 4357, 1745, 14945, 7077, 104591}},
{10124, 17, 37336, {1, 1, 3, 11, 17, 39, 125, 27, 327, 281, 87, 2341, 433, 15277, 20541, 44881, 107773}},
{10125, 17, 37339, {1, 3, 1, 15, 31, 7, 91, 63, 349, 103, 1101, 1049, 6527, 15471, 9253, 58841, 95553}},
{10126, 17, 37342, {1, 3, 1, 11, 9, 33, 15, 215, 141, 317, 1405, 1811, 7617, 3311, 24845, 7629, 445}},
{10127, 17, 37357, {1, 3, 3, 3, 13, 27, 27, 123, 7, 101, 1509, 2789, 3833, 16205, 24905, 29453, 106435}},
{10128, 17, 37365, {1, 3, 1, 13, 5, 51, 47, 87, 483, 791, 921, 4079, 6607, 14077, 1297, 41961, 86579}},
{10129, 17, 37372, {1, 3, 7, 3, 9, 23, 83, 227, 321, 397, 1483, 1857, 7191, 9211, 4511, 7547, 82415}},
{10130, 17, 37381, {1, 1, 7, 13, 15, 43, 47, 135, 211, 497, 1827, 2493, 2475, 2011, 25013, 44627, 13675}},
{10131, 17, 37399, {1, 3, 3, 11, 23, 47, 73, 199, 467, 111, 27, 209, 6941, 8929, 6413, 3329, 97825}},
{10132, 17, 37416, {1, 1, 1, 13, 31, 49, 67, 199, 229, 935, 791, 141, 2829, 11861, 9791, 15445, 17437}},
{10133, 17, 37429, {1, 1, 5, 7, 17, 25, 47, 23, 313, 59, 371, 3865, 5767, 6461, 2973, 10165, 48247}},
{10134, 17, 37436, {1, 3, 7, 3, 25, 47, 37, 51, 371, 101, 249, 91, 3985, 10239, 10423, 33433, 109067}},
{10135, 17, 37442, {1, 3, 1, 3, 27, 33, 67, 75, 167, 961, 493, 1875, 4005, 13019, 27085, 17967, 107771}},
{10136, 17, 37451, {1, 1, 1, 3, 17, 23, 37, 179, 459, 907, 55, 2049, 5273, 4059, 30429, 10273, 70159}},
{10137, 17, 37453, {1, 1, 5, 9, 13, 33, 71, 143, 325, 767, 1871, 3989, 7991, 3555, 28937, 48259, 60243}},
{10138, 17, 37475, {1, 1, 1, 9, 25, 27, 111, 43, 265, 11, 1443, 3161, 3473, 1451, 3789, 42431, 117069}},
{10139, 17, 37482, {1, 1, 1, 1, 29, 1, 121, 25, 501, 781, 1429, 1495, 6125, 11293, 30063, 1713, 7071}},
{10140, 17, 37489, {1, 1, 3, 15, 23, 27, 15, 145, 255, 207, 1977, 567, 469, 11589, 1535, 61637, 89569}},
{10141, 17, 37490, {1, 3, 5, 5, 13, 45, 113, 215, 65, 531, 335, 1275, 53, 447, 24887, 29829, 33391}},
{10142, 17, 37523, {1, 1, 1, 3, 5, 55, 89, 97, 197, 467, 95, 2603, 7789, 13289, 29911, 21935, 122947}},
{10143, 17, 37525, {1, 1, 3, 11, 21, 3, 61, 9, 363, 417, 1027, 2457, 3169, 11207, 27551, 41991, 71381}},
{10144, 17, 37530, {1, 3, 5, 11, 19, 57, 107, 29, 249, 93, 1235, 1239, 6491, 14695, 2407, 41513, 25779}},
{10145, 17, 37535, {1, 1, 3, 13, 5, 43, 3, 247, 309, 553, 1349, 2693, 7609, 10099, 13021, 32371, 27705}},
{10146, 17, 37539, {1, 1, 3, 11, 7, 3, 37, 209, 153, 945, 459, 3281, 6749, 12267, 17103, 58285, 115593}},
{10147, 17, 37548, {1, 3, 1, 3, 19, 19, 113, 23, 363, 147, 203, 1673, 4005, 4983, 31463, 12695, 95089}},
{10148, 17, 37559, {1, 3, 5, 9, 3, 31, 77, 129, 217, 395, 1701, 15, 8181, 2327, 12441, 52889, 114339}},
{10149, 17, 37560, {1, 1, 1, 15, 5, 7, 81, 191, 45, 45, 903, 2561, 1303, 13435, 321, 41897, 79013}},
{10150, 17, 37566, {1, 3, 3, 13, 19, 33, 11, 67, 9, 649, 217, 2181, 2237, 2851, 7423, 37003, 119205}},
{10151, 17, 37597, {1, 3, 7, 11, 29, 5, 87, 117, 487, 693, 155, 3653, 1497, 10249, 31567, 5987, 59435}},
{10152, 17, 37601, {1, 3, 7, 5, 11, 5, 77, 251, 399, 257, 1429, 3487, 8097, 1919, 11635, 3833, 43577}},
{10153, 17, 37602, {1, 1, 7, 11, 21, 63, 83, 17, 83, 807, 1849, 639, 7453, 15427, 2617, 21403, 4131}},
{10154, 17, 37604, {1, 1, 7, 15, 19, 1, 43, 245, 89, 271, 635, 227, 5977, 6985, 3239, 44639, 50959}},
{10155, 17, 37616, {1, 3, 7, 1, 19, 25, 35, 41, 455, 919, 101, 1953, 6119, 15299, 16315, 58857, 107557}},
{10156, 17, 37622, {1, 1, 5, 5, 3, 27, 123, 81, 355, 327, 1645, 1439, 3497, 3133, 17, 7225, 83255}},
{10157, 17, 37658, {1, 1, 1, 15, 29, 31, 61, 15, 157, 161, 1751, 2687, 3539, 5695, 149, 8841, 23405}},
{10158, 17, 37660, {1, 1, 1, 15, 1, 27, 79, 231, 157, 275, 1687, 3083, 4547, 9929, 6181, 32653, 30727}},
{10159, 17, 37667, {1, 1, 1, 1, 29, 51, 95, 133, 311, 675, 1829, 2089, 7681, 13119, 32157, 10651, 9023}},
{10160, 17, 37684, {1, 3, 5, 11, 7, 11, 41, 137, 147, 623, 81, 253, 3159, 4501, 22465, 41047, 14253}},
{10161, 17, 37693, {1, 1, 5, 15, 9, 29, 35, 63, 265, 691, 1371, 4061, 6327, 10671, 9303, 58831, 122423}},
{10162, 17, 37694, {1, 3, 3, 13, 17, 43, 9, 173, 435, 805, 1679, 3261, 6681, 13295, 23511, 4575, 100573}},
{10163, 17, 37696, {1, 1, 3, 15, 7, 11, 93, 227, 285, 795, 1089, 927, 2187, 927, 4283, 29241, 75241}},
{10164, 17, 37706, {1, 1, 1, 7, 13, 7, 71, 167, 239, 411, 235, 1543, 5259, 9749, 4257, 30517, 18167}},
{10165, 17, 37711, {1, 1, 7, 7, 29, 37, 67, 245, 151, 627, 1245, 2967, 7821, 1113, 3243, 59403, 80303}},
{10166, 17, 37730, {1, 1, 5, 13, 31, 15, 9, 49, 81, 257, 31, 227, 201, 2127, 30581, 38487, 96959}},
{10167, 17, 37735, {1, 1, 5, 5, 21, 39, 61, 155, 47, 235, 355, 3397, 2973, 1029, 23497, 21007, 35183}},
{10168, 17, 37742, {1, 1, 3, 5, 7, 27, 87, 45, 89, 211, 519, 2621, 6299, 2049, 21225, 4975, 8799}},
{10169, 17, 37744, {1, 3, 5, 11, 7, 51, 19, 33, 153, 925, 1067, 3789, 7463, 8403, 1495, 37549, 20661}},
{10170, 17, 37759, {1, 1, 5, 1, 21, 53, 97, 147, 435, 329, 1635, 3069, 3353, 3969, 15555, 7171, 58141}},
{10171, 17, 37777, {1, 1, 1, 5, 31, 29, 103, 87, 89, 673, 1505, 2921, 3019, 3081, 7723, 11105, 7477}},
{10172, 17, 37783, {1, 1, 7, 5, 17, 15, 111, 15, 59, 851, 1351, 2365, 2427, 5035, 22341, 38511, 61813}},
{10173, 17, 37784, {1, 3, 5, 9, 21, 15, 35, 11, 149, 991, 981, 3855, 2783, 10405, 21113, 64173, 75199}},
{10174, 17, 37793, {1, 3, 5, 7, 19, 25, 99, 11, 101, 71, 1913, 1017, 4241, 15635, 15571, 33541, 79103}},
{10175, 17, 37800, {1, 3, 7, 9, 13, 19, 67, 75, 57, 257, 1623, 3641, 1745, 12747, 7171, 20861, 106387}},
{10176, 17, 37818, {1, 3, 1, 3, 9, 43, 29, 125, 453, 525, 1789, 2281, 1037, 14799, 27183, 7235, 97467}},
{10177, 17, 37823, {1, 3, 3, 15, 25, 19, 115, 73, 163, 557, 1365, 1205, 7845, 2977, 6293, 4039, 100505}},
{10178, 17, 37825, {1, 3, 7, 15, 11, 43, 109, 181, 153, 809, 25, 773, 3265, 6919, 23835, 63627, 79707}},
{10179, 17, 37828, {1, 3, 5, 13, 13, 9, 37, 209, 117, 49, 973, 2547, 2035, 7595, 15029, 9035, 83281}},
{10180, 17, 37832, {1, 3, 7, 1, 1, 53, 77, 213, 137, 321, 2031, 3373, 4457, 15395, 3301, 11631, 30925}},
{10181, 17, 37849, {1, 3, 5, 9, 21, 1, 39, 227, 1, 395, 1191, 1029, 6467, 11219, 32063, 1347, 98889}},
{10182, 17, 37856, {1, 3, 5, 15, 21, 21, 49, 169, 289, 785, 151, 2309, 7475, 4065, 17553, 35213, 63947}},
{10183, 17, 37861, {1, 1, 7, 13, 27, 1, 93, 245, 389, 211, 285, 1273, 6445, 4293, 53, 22689, 24989}},
{10184, 17, 37862, {1, 3, 5, 13, 27, 27, 37, 217, 225, 271, 9, 2547, 3381, 1599, 459, 19337, 125349}},
{10185, 17, 37886, {1, 3, 3, 5, 29, 45, 93, 239, 403, 985, 901, 3501, 1889, 15647, 25031, 6073, 14101}},
{10186, 17, 37893, {1, 3, 1, 9, 21, 5, 77, 171, 197, 677, 1571, 3925, 4917, 14415, 20147, 39871, 125939}},
{10187, 17, 37915, {1, 1, 5, 3, 3, 17, 19, 47, 499, 397, 667, 3373, 1771, 4453, 9519, 48939, 121915}},
{10188, 17, 37922, {1, 3, 3, 5, 29, 25, 121, 133, 367, 281, 131, 1115, 6359, 9621, 31137, 58021, 27117}},
{10189, 17, 37936, {1, 1, 3, 5, 23, 43, 45, 41, 261, 681, 1177, 2007, 5441, 1507, 11579, 54001, 69625}},
{10190, 17, 37939, {1, 3, 1, 3, 27, 61, 85, 167, 275, 285, 1, 919, 6439, 3331, 9483, 46613, 89019}},
{10191, 17, 37945, {1, 1, 7, 9, 25, 33, 37, 33, 211, 221, 273, 2257, 6565, 15801, 4911, 1781, 60147}},
{10192, 17, 37956, {1, 3, 5, 7, 7, 17, 81, 215, 511, 565, 327, 3327, 1439, 1573, 8959, 30037, 95635}},
{10193, 17, 37960, {1, 3, 5, 13, 23, 31, 75, 93, 421, 439, 2033, 2677, 593, 2729, 17641, 61789, 41253}},
{10194, 17, 37971, {1, 1, 3, 11, 21, 17, 45, 63, 77, 497, 439, 4077, 4047, 273, 3233, 54695, 22014}},
{10195, 17, 37980, {1, 3, 1, 7, 5, 17, 125, 29, 365, 887, 1915, 3455, 391, 9435, 14723, 34807, 52475}},
{10196, 17, 38002, {1, 1, 7, 11, 29, 49, 71, 165, 491, 721, 627, 3777, 7295, 2549, 7521, 35637, 14447}},
{10197, 17, 38007, {1, 3, 7, 13, 3, 3, 121, 193, 273, 241, 889, 13, 3445, 3313, 20381, 39921, 16609}},
{10198, 17, 38018, {1, 3, 7, 13, 5, 49, 61, 123, 443, 769, 1669, 2741, 6881, 5965, 9365, 43051, 2979}},
{10199, 17, 38020, {1, 1, 1, 7, 7, 25, 41, 179, 419, 225, 1827, 613, 4711, 1671, 14459, 33951, 56751}},
{10200, 17, 38038, {1, 3, 5, 7, 9, 61, 35, 205, 243, 49, 803, 2653, 4101, 4435, 29697, 45441, 124841}}
// Extending this table?
// Ensure that the max_m defined in sobol_primitives.h is sufficient for all the m values
};