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[[662,62,89]] d ≤
n
662
k
62
d
89
kd²/n
741.846
w
18
X/Z
1.06

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Distance

X/Z asymmetry 1.06 · d_X ≤ 89, d_Z ≤ 94 · w_X = 18, w_Z = 18 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 89 · witness weight 89 (claimed upper_bound)
witness operator (support, 89 qubits)
[0, 5, 6, 8, 19, 28, 31, 41, 42, 44, 45, 49, 55, 68, 69, 75, 85, 115, 116, 122, 146, 152, 157, 167, 174, 210, 215, 220, 224, 231, 238, 246, 247, 262, 265, 273, 280, 311, 317, 319, 321, 322, 327, 351, 369, 389, 396, 402, 410, 419, 422, 440, 446, 454, 459, 464, 468, 476, 483, 486, 494, 497, 501, 506, 513, 521, 528, 530, 533, 536, 538, 542, 564, 565, 574, 581, 590, 592, 594, 604, 606, 618, 619, 622, 625, 631, 632, 635, 660]
d_Z 94 · witness weight 94 (claimed upper_bound)
witness operator (support, 94 qubits)
[3, 6, 8, 19, 22, 24, 47, 48, 57, 62, 65, 67, 73, 74, 76, 81, 87, 99, 115, 117, 120, 134, 141, 142, 146, 148, 158, 169, 183, 189, 195, 197, 205, 213, 217, 221, 222, 261, 268, 276, 278, 295, 301, 303, 304, 315, 320, 327, 329, 341, 344, 347, 355, 374, 386, 393, 399, 402, 403, 404, 410, 417, 418, 424, 434, 442, 444, 453, 459, 467, 473, 476, 479, 480, 492, 538, 543, 546, 567, 569, 582, 586, 592, 599, 600, 603, 608, 614, 616, 620, 623, 641, 643, 646]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Diagnostics

computed by the verifier from the parity checks, the layout, and the stored witnesses; shown as evidence, not used for ranking
girth H_X 4 · H_Z 4 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 18 · H_Z 18
qubit degrees H_X 8–10 (mean 9.0) · H_Z 8–10 (mean 9.0)
trapping sets H_X (1,8)×331 (2,8)×331 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,8): 331 (1,10): 331 (2,8): 331 (2,10): 331 (2,12): 2979 (2,14): 3972 (2,16): 21515 (2,18): 12909
trapping sets H_Z (1,8)×331 (2,8)×331 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,8): 331 (1,10): 331 (2,8): 331 (2,10): 331 (2,12): 2979 (2,14): 3972 (2,16): 21515 (2,18): 12909

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized-bicycle code on the ring x331 - 1 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Both a and b lie in the ideal generated by a divisor of x331 - 1 whose degree fixes k = 2 deg gcd(a, b, x331 - 1).
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-14
notes m = 331 is prime with ord_2(m) = 30, so the only proper divisor of m is 1 and every quotient fold is vacuous: the ceiling (m/t) d_t that binds a composite modulus does not exist here. That leaves two mechanisms. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. The single-block logicals of H_X form the cyclic code of dimension deg g whose zeros are the residues the divisor leaves out, and the coset subset is chosen among those reachable at the target degree to maximise the longest run of consecutive residues among them, which is what the Bose-Chaudhuri-Hocquenghem bound reads; a direct search confined to one circulant block at 12 seeds of 600,000 trials confirms it. The distance is a witness-backed upper bound from a 24-seed gate at 2,000,000 information-set trials per seed.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

--- author: "@vprusso" ---

[[662,62,89]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 331

At row weight 18 or lighter, the best distance on the board with n <= 662 and k >= 62 is 31, at [[390,82,31]] and row weight 16. This entry reaches 89. Allowing any row weight, the board's best in the same n and k range is 84, at [[662,122,84]] and row weight 30.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension follows from a polynomial gcd and can be set rather than waited for: build a divisor g of chosen degree and draw a and b as low-weight codewords of its ideal. Two mechanisms cap this family from opposite ends. A proper divisor t of m gives a quotient-fold ceiling of (m/t) d_t, which binds at low dimension, and the single-block cyclic code of dimension deg g carries a light logical inside one circulant block at high dimension. Degree 31 sits where both are weak here.

What was searched

m = 331 with ord_2(331) = 30, so the cyclotomic cosets of x^331 - 1 over GF(2) number 12 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 2 cosets of total degree 31, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

The divisor carries the root-1 coset, so both polynomial weights are even by construction and (x + 1) divides the common gcd by design rather than by accident. Here a has weight 10 and b has weight 8.

Evidence trail

deg gcd(a, x^331 - 1) = 31, deg gcd(b, x^331 - 1) = 31 and deg gcd(a, b, x^331 - 1) = 31, so the leak between the single-block kernels and k is 0.

A 24-seed gate at 2,000,000 information-set trials per seed settled at 89. The per-seed spread: 1 seed found 89, 1 seed found 94, 1 seed found 95, 6 seeds found 96, 2 seeds found 97, 6 seeds found 98, 6 seeds found 99, 1 seed found 100. The single-block logicals form the cyclic code of dimension 31 whose zeros are the 300 residues the divisor leaves out; the longest run of consecutive residues among them is 66, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 67 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 104. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim.

The claim is a witness-backed upper bound, not certified. Both witnesses are in the submitted JSON, commute with the opposite check matrix and lie outside its row space; the X witness weighs 89 and the Z witness weighs 94, and the claim is the lighter of the two.

Dead ends

  • Nothing else from this front survived its gate.
  • Degrees 60 and 61 at this modulus were swept first and are capped by the single block, not by the search: a circulant search at 12 seeds of 600,000 trials found a weight-94 logical in the best degree-60 candidate and a weight-91 one in the best degree-61 candidate. Their longest unpicked runs are 49 and 35, which permits exactly that. Degrees 30 and 31, used here, have runs of 67.
  • The degree-61 point yielded more undominated rows at triage than any other point tried, and is the structurally weakest of the four. Row yield is the wrong way to choose a design point; the run of the run-maximising coset pick is computable before any search and orders them correctly.
  • A candidate at [[662,120,92]] and row weight 28 was gated and withdrawn: it read 84 against the 81 it needed after four seeds of 2,000,000 trials, having probed at 92. Erosion from a 60,000-trial probe to a full gate runs near 15 percent here, so a margin thinner than that is not worth the hours.

The triage reading for this pair was 104, against a gated 89. Every member of this front moved the same way, which is why all of them were gated rather than filed off the sweep.

Tools

Claude Opus 5 driving a Claude Code session. Distance readings and single-block searches come from the repository's verify/gf2_fast extension; divisor assembly, coset selection and the information-set draws are session tooling outside this repository, described above in enough detail to rewrite.

Reproduction

m = 331, n = 2m = 662. With a = {57, 70, 148, 153, 162, 165, 225, 285, 295, 300} and b = {8, 124, 141, 195, 196, 267, 268, 322} as exponent sets,

H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]

where circ(s)[i, (i + e) mod m] = 1 for each e in s. The submitted codes/662-62-89.json carries both matrices row by row and both distance witnesses.

Parity checks

X-checks 331 (max weight 18) · Z-checks 331 (max weight 18)
H_X (331 checks, sparse supports)
[57, 70, 148, 153, 162, 165, 225, 285, 295, 300, 339, 455, 472, 526, 527, 598, 599, 653] [58, 71, 149, 154, 163, 166, 226, 286, 296, 301, 340, 456, 473, 527, 528, 599, 600, 654] [59, 72, 150, 155, 164, 167, 227, 287, 297, 302, 341, 457, 474, 528, 529, 600, 601, 655] [60, 73, 151, 156, 165, 168, 228, 288, 298, 303, 342, 458, 475, 529, 530, 601, 602, 656] [61, 74, 152, 157, 166, 169, 229, 289, 299, 304, 343, 459, 476, 530, 531, 602, 603, 657] [62, 75, 153, 158, 167, 170, 230, 290, 300, 305, 344, 460, 477, 531, 532, 603, 604, 658] [63, 76, 154, 159, 168, 171, 231, 291, 301, 306, 345, 461, 478, 532, 533, 604, 605, 659] [64, 77, 155, 160, 169, 172, 232, 292, 302, 307, 346, 462, 479, 533, 534, 605, 606, 660] [65, 78, 156, 161, 170, 173, 233, 293, 303, 308, 347, 463, 480, 534, 535, 606, 607, 661] [66, 79, 157, 162, 171, 174, 234, 294, 304, 309, 331, 348, 464, 481, 535, 536, 607, 608] [67, 80, 158, 163, 172, 175, 235, 295, 305, 310, 332, 349, 465, 482, 536, 537, 608, 609] [68, 81, 159, 164, 173, 176, 236, 296, 306, 311, 333, 350, 466, 483, 537, 538, 609, 610] [69, 82, 160, 165, 174, 177, 237, 297, 307, 312, 334, 351, 467, 484, 538, 539, 610, 611] [70, 83, 161, 166, 175, 178, 238, 298, 308, 313, 335, 352, 468, 485, 539, 540, 611, 612] [71, 84, 162, 167, 176, 179, 239, 299, 309, 314, 336, 353, 469, 486, 540, 541, 612, 613] [72, 85, 163, 168, 177, 180, 240, 300, 310, 315, 337, 354, 470, 487, 541, 542, 613, 614] [73, 86, 164, 169, 178, 181, 241, 301, 311, 316, 338, 355, 471, 488, 542, 543, 614, 615] [74, 87, 165, 170, 179, 182, 242, 302, 312, 317, 339, 356, 472, 489, 543, 544, 615, 616] [75, 88, 166, 171, 180, 183, 243, 303, 313, 318, 340, 357, 473, 490, 544, 545, 616, 617] [76, 89, 167, 172, 181, 184, 244, 304, 314, 319, 341, 358, 474, 491, 545, 546, 617, 618] [77, 90, 168, 173, 182, 185, 245, 305, 315, 320, 342, 359, 475, 492, 546, 547, 618, 619] [78, 91, 169, 174, 183, 186, 246, 306, 316, 321, 343, 360, 476, 493, 547, 548, 619, 620] [79, 92, 170, 175, 184, 187, 247, 307, 317, 322, 344, 361, 477, 494, 548, 549, 620, 621] [80, 93, 171, 176, 185, 188, 248, 308, 318, 323, 345, 362, 478, 495, 549, 550, 621, 622] [81, 94, 172, 177, 186, 189, 249, 309, 319, 324, 346, 363, 479, 496, 550, 551, 622, 623] [82, 95, 173, 178, 187, 190, 250, 310, 320, 325, 347, 364, 480, 497, 551, 552, 623, 624] [83, 96, 174, 179, 188, 191, 251, 311, 321, 326, 348, 365, 481, 498, 552, 553, 624, 625] [84, 97, 175, 180, 189, 192, 252, 312, 322, 327, 349, 366, 482, 499, 553, 554, 625, 626] [85, 98, 176, 181, 190, 193, 253, 313, 323, 328, 350, 367, 483, 500, 554, 555, 626, 627] [86, 99, 177, 182, 191, 194, 254, 314, 324, 329, 351, 368, 484, 501, 555, 556, 627, 628] [87, 100, 178, 183, 192, 195, 255, 315, 325, 330, 352, 369, 485, 502, 556, 557, 628, 629] [0, 88, 101, 179, 184, 193, 196, 256, 316, 326, 353, 370, 486, 503, 557, 558, 629, 630] [1, 89, 102, 180, 185, 194, 197, 257, 317, 327, 354, 371, 487, 504, 558, 559, 630, 631] [2, 90, 103, 181, 186, 195, 198, 258, 318, 328, 355, 372, 488, 505, 559, 560, 631, 632] [3, 91, 104, 182, 187, 196, 199, 259, 319, 329, 356, 373, 489, 506, 560, 561, 632, 633] [4, 92, 105, 183, 188, 197, 200, 260, 320, 330, 357, 374, 490, 507, 561, 562, 633, 634] [0, 5, 93, 106, 184, 189, 198, 201, 261, 321, 358, 375, 491, 508, 562, 563, 634, 635] [1, 6, 94, 107, 185, 190, 199, 202, 262, 322, 359, 376, 492, 509, 563, 564, 635, 636] [2, 7, 95, 108, 186, 191, 200, 203, 263, 323, 360, 377, 493, 510, 564, 565, 636, 637] [3, 8, 96, 109, 187, 192, 201, 204, 264, 324, 361, 378, 494, 511, 565, 566, 637, 638] [4, 9, 97, 110, 188, 193, 202, 205, 265, 325, 362, 379, 495, 512, 566, 567, 638, 639] [5, 10, 98, 111, 189, 194, 203, 206, 266, 326, 363, 380, 496, 513, 567, 568, 639, 640] [6, 11, 99, 112, 190, 195, 204, 207, 267, 327, 364, 381, 497, 514, 568, 569, 640, 641] [7, 12, 100, 113, 191, 196, 205, 208, 268, 328, 365, 382, 498, 515, 569, 570, 641, 642] [8, 13, 101, 114, 192, 197, 206, 209, 269, 329, 366, 383, 499, 516, 570, 571, 642, 643] [9, 14, 102, 115, 193, 198, 207, 210, 270, 330, 367, 384, 500, 517, 571, 572, 643, 644] [0, 10, 15, 103, 116, 194, 199, 208, 211, 271, 368, 385, 501, 518, 572, 573, 644, 645] [1, 11, 16, 104, 117, 195, 200, 209, 212, 272, 369, 386, 502, 519, 573, 574, 645, 646] [2, 12, 17, 105, 118, 196, 201, 210, 213, 273, 370, 387, 503, 520, 574, 575, 646, 647] [3, 13, 18, 106, 119, 197, 202, 211, 214, 274, 371, 388, 504, 521, 575, 576, 647, 648] [4, 14, 19, 107, 120, 198, 203, 212, 215, 275, 372, 389, 505, 522, 576, 577, 648, 649] [5, 15, 20, 108, 121, 199, 204, 213, 216, 276, 373, 390, 506, 523, 577, 578, 649, 650] [6, 16, 21, 109, 122, 200, 205, 214, 217, 277, 374, 391, 507, 524, 578, 579, 650, 651] [7, 17, 22, 110, 123, 201, 206, 215, 218, 278, 375, 392, 508, 525, 579, 580, 651, 652] [8, 18, 23, 111, 124, 202, 207, 216, 219, 279, 376, 393, 509, 526, 580, 581, 652, 653] [9, 19, 24, 112, 125, 203, 208, 217, 220, 280, 377, 394, 510, 527, 581, 582, 653, 654] [10, 20, 25, 113, 126, 204, 209, 218, 221, 281, 378, 395, 511, 528, 582, 583, 654, 655] [11, 21, 26, 114, 127, 205, 210, 219, 222, 282, 379, 396, 512, 529, 583, 584, 655, 656] [12, 22, 27, 115, 128, 206, 211, 220, 223, 283, 380, 397, 513, 530, 584, 585, 656, 657] [13, 23, 28, 116, 129, 207, 212, 221, 224, 284, 381, 398, 514, 531, 585, 586, 657, 658] [14, 24, 29, 117, 130, 208, 213, 222, 225, 285, 382, 399, 515, 532, 586, 587, 658, 659] [15, 25, 30, 118, 131, 209, 214, 223, 226, 286, 383, 400, 516, 533, 587, 588, 659, 660] [16, 26, 31, 119, 132, 210, 215, 224, 227, 287, 384, 401, 517, 534, 588, 589, 660, 661] [17, 27, 32, 120, 133, 211, 216, 225, 228, 288, 331, 385, 402, 518, 535, 589, 590, 661] [18, 28, 33, 121, 134, 212, 217, 226, 229, 289, 331, 332, 386, 403, 519, 536, 590, 591] [19, 29, 34, 122, 135, 213, 218, 227, 230, 290, 332, 333, 387, 404, 520, 537, 591, 592] [20, 30, 35, 123, 136, 214, 219, 228, 231, 291, 333, 334, 388, 405, 521, 538, 592, 593] [21, 31, 36, 124, 137, 215, 220, 229, 232, 292, 334, 335, 389, 406, 522, 539, 593, 594] [22, 32, 37, 125, 138, 216, 221, 230, 233, 293, 335, 336, 390, 407, 523, 540, 594, 595] [23, 33, 38, 126, 139, 217, 222, 231, 234, 294, 336, 337, 391, 408, 524, 541, 595, 596] [24, 34, 39, 127, 140, 218, 223, 232, 235, 295, 337, 338, 392, 409, 525, 542, 596, 597] [25, 35, 40, 128, 141, 219, 224, 233, 236, 296, 338, 339, 393, 410, 526, 543, 597, 598] [26, 36, 41, 129, 142, 220, 225, 234, 237, 297, 339, 340, 394, 411, 527, 544, 598, 599] [27, 37, 42, 130, 143, 221, 226, 235, 238, 298, 340, 341, 395, 412, 528, 545, 599, 600] [28, 38, 43, 131, 144, 222, 227, 236, 239, 299, 341, 342, 396, 413, 529, 546, 600, 601] [29, 39, 44, 132, 145, 223, 228, 237, 240, 300, 342, 343, 397, 414, 530, 547, 601, 602] [30, 40, 45, 133, 146, 224, 229, 238, 241, 301, 343, 344, 398, 415, 531, 548, 602, 603] [31, 41, 46, 134, 147, 225, 230, 239, 242, 302, 344, 345, 399, 416, 532, 549, 603, 604] [32, 42, 47, 135, 148, 226, 231, 240, 243, 303, 345, 346, 400, 417, 533, 550, 604, 605] [33, 43, 48, 136, 149, 227, 232, 241, 244, 304, 346, 347, 401, 418, 534, 551, 605, 606] [34, 44, 49, 137, 150, 228, 233, 242, 245, 305, 347, 348, 402, 419, 535, 552, 606, 607] [35, 45, 50, 138, 151, 229, 234, 243, 246, 306, 348, 349, 403, 420, 536, 553, 607, 608] [36, 46, 51, 139, 152, 230, 235, 244, 247, 307, 349, 350, 404, 421, 537, 554, 608, 609] [37, 47, 52, 140, 153, 231, 236, 245, 248, 308, 350, 351, 405, 422, 538, 555, 609, 610] [38, 48, 53, 141, 154, 232, 237, 246, 249, 309, 351, 352, 406, 423, 539, 556, 610, 611] [39, 49, 54, 142, 155, 233, 238, 247, 250, 310, 352, 353, 407, 424, 540, 557, 611, 612] [40, 50, 55, 143, 156, 234, 239, 248, 251, 311, 353, 354, 408, 425, 541, 558, 612, 613] [41, 51, 56, 144, 157, 235, 240, 249, 252, 312, 354, 355, 409, 426, 542, 559, 613, 614] [42, 52, 57, 145, 158, 236, 241, 250, 253, 313, 355, 356, 410, 427, 543, 560, 614, 615] [43, 53, 58, 146, 159, 237, 242, 251, 254, 314, 356, 357, 411, 428, 544, 561, 615, 616] [44, 54, 59, 147, 160, 238, 243, 252, 255, 315, 357, 358, 412, 429, 545, 562, 616, 617] [45, 55, 60, 148, 161, 239, 244, 253, 256, 316, 358, 359, 413, 430, 546, 563, 617, 618] [46, 56, 61, 149, 162, 240, 245, 254, 257, 317, 359, 360, 414, 431, 547, 564, 618, 619] [47, 57, 62, 150, 163, 241, 246, 255, 258, 318, 360, 361, 415, 432, 548, 565, 619, 620] [48, 58, 63, 151, 164, 242, 247, 256, 259, 319, 361, 362, 416, 433, 549, 566, 620, 621] [49, 59, 64, 152, 165, 243, 248, 257, 260, 320, 362, 363, 417, 434, 550, 567, 621, 622] [50, 60, 65, 153, 166, 244, 249, 258, 261, 321, 363, 364, 418, 435, 551, 568, 622, 623] [51, 61, 66, 154, 167, 245, 250, 259, 262, 322, 364, 365, 419, 436, 552, 569, 623, 624] [52, 62, 67, 155, 168, 246, 251, 260, 263, 323, 365, 366, 420, 437, 553, 570, 624, 625] [53, 63, 68, 156, 169, 247, 252, 261, 264, 324, 366, 367, 421, 438, 554, 571, 625, 626] [54, 64, 69, 157, 170, 248, 253, 262, 265, 325, 367, 368, 422, 439, 555, 572, 626, 627] [55, 65, 70, 158, 171, 249, 254, 263, 266, 326, 368, 369, 423, 440, 556, 573, 627, 628] [56, 66, 71, 159, 172, 250, 255, 264, 267, 327, 369, 370, 424, 441, 557, 574, 628, 629] [57, 67, 72, 160, 173, 251, 256, 265, 268, 328, 370, 371, 425, 442, 558, 575, 629, 630] [58, 68, 73, 161, 174, 252, 257, 266, 269, 329, 371, 372, 426, 443, 559, 576, 630, 631] [59, 69, 74, 162, 175, 253, 258, 267, 270, 330, 372, 373, 427, 444, 560, 577, 631, 632] [0, 60, 70, 75, 163, 176, 254, 259, 268, 271, 373, 374, 428, 445, 561, 578, 632, 633] [1, 61, 71, 76, 164, 177, 255, 260, 269, 272, 374, 375, 429, 446, 562, 579, 633, 634] [2, 62, 72, 77, 165, 178, 256, 261, 270, 273, 375, 376, 430, 447, 563, 580, 634, 635] [3, 63, 73, 78, 166, 179, 257, 262, 271, 274, 376, 377, 431, 448, 564, 581, 635, 636] [4, 64, 74, 79, 167, 180, 258, 263, 272, 275, 377, 378, 432, 449, 565, 582, 636, 637] [5, 65, 75, 80, 168, 181, 259, 264, 273, 276, 378, 379, 433, 450, 566, 583, 637, 638] [6, 66, 76, 81, 169, 182, 260, 265, 274, 277, 379, 380, 434, 451, 567, 584, 638, 639] [7, 67, 77, 82, 170, 183, 261, 266, 275, 278, 380, 381, 435, 452, 568, 585, 639, 640] [8, 68, 78, 83, 171, 184, 262, 267, 276, 279, 381, 382, 436, 453, 569, 586, 640, 641] [9, 69, 79, 84, 172, 185, 263, 268, 277, 280, 382, 383, 437, 454, 570, 587, 641, 642] [10, 70, 80, 85, 173, 186, 264, 269, 278, 281, 383, 384, 438, 455, 571, 588, 642, 643] [11, 71, 81, 86, 174, 187, 265, 270, 279, 282, 384, 385, 439, 456, 572, 589, 643, 644] [12, 72, 82, 87, 175, 188, 266, 271, 280, 283, 385, 386, 440, 457, 573, 590, 644, 645] [13, 73, 83, 88, 176, 189, 267, 272, 281, 284, 386, 387, 441, 458, 574, 591, 645, 646] [14, 74, 84, 89, 177, 190, 268, 273, 282, 285, 387, 388, 442, 459, 575, 592, 646, 647] [15, 75, 85, 90, 178, 191, 269, 274, 283, 286, 388, 389, 443, 460, 576, 593, 647, 648] [16, 76, 86, 91, 179, 192, 270, 275, 284, 287, 389, 390, 444, 461, 577, 594, 648, 649] [17, 77, 87, 92, 180, 193, 271, 276, 285, 288, 390, 391, 445, 462, 578, 595, 649, 650] [18, 78, 88, 93, 181, 194, 272, 277, 286, 289, 391, 392, 446, 463, 579, 596, 650, 651] [19, 79, 89, 94, 182, 195, 273, 278, 287, 290, 392, 393, 447, 464, 580, 597, 651, 652] [20, 80, 90, 95, 183, 196, 274, 279, 288, 291, 393, 394, 448, 465, 581, 598, 652, 653] [21, 81, 91, 96, 184, 197, 275, 280, 289, 292, 394, 395, 449, 466, 582, 599, 653, 654] [22, 82, 92, 97, 185, 198, 276, 281, 290, 293, 395, 396, 450, 467, 583, 600, 654, 655] [23, 83, 93, 98, 186, 199, 277, 282, 291, 294, 396, 397, 451, 468, 584, 601, 655, 656] [24, 84, 94, 99, 187, 200, 278, 283, 292, 295, 397, 398, 452, 469, 585, 602, 656, 657] [25, 85, 95, 100, 188, 201, 279, 284, 293, 296, 398, 399, 453, 470, 586, 603, 657, 658] [26, 86, 96, 101, 189, 202, 280, 285, 294, 297, 399, 400, 454, 471, 587, 604, 658, 659] [27, 87, 97, 102, 190, 203, 281, 286, 295, 298, 400, 401, 455, 472, 588, 605, 659, 660] [28, 88, 98, 103, 191, 204, 282, 287, 296, 299, 401, 402, 456, 473, 589, 606, 660, 661] [29, 89, 99, 104, 192, 205, 283, 288, 297, 300, 331, 402, 403, 457, 474, 590, 607, 661] [30, 90, 100, 105, 193, 206, 284, 289, 298, 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563, 564, 618, 635] [23, 36, 114, 119, 128, 131, 191, 251, 261, 266, 421, 438, 492, 493, 564, 565, 619, 636] [24, 37, 115, 120, 129, 132, 192, 252, 262, 267, 422, 439, 493, 494, 565, 566, 620, 637] [25, 38, 116, 121, 130, 133, 193, 253, 263, 268, 423, 440, 494, 495, 566, 567, 621, 638] [26, 39, 117, 122, 131, 134, 194, 254, 264, 269, 424, 441, 495, 496, 567, 568, 622, 639] [27, 40, 118, 123, 132, 135, 195, 255, 265, 270, 425, 442, 496, 497, 568, 569, 623, 640] [28, 41, 119, 124, 133, 136, 196, 256, 266, 271, 426, 443, 497, 498, 569, 570, 624, 641] [29, 42, 120, 125, 134, 137, 197, 257, 267, 272, 427, 444, 498, 499, 570, 571, 625, 642] [30, 43, 121, 126, 135, 138, 198, 258, 268, 273, 428, 445, 499, 500, 571, 572, 626, 643] [31, 44, 122, 127, 136, 139, 199, 259, 269, 274, 429, 446, 500, 501, 572, 573, 627, 644] [32, 45, 123, 128, 137, 140, 200, 260, 270, 275, 430, 447, 501, 502, 573, 574, 628, 645] [33, 46, 124, 129, 138, 141, 201, 261, 271, 276, 431, 448, 502, 503, 574, 575, 629, 646] [34, 47, 125, 130, 139, 142, 202, 262, 272, 277, 432, 449, 503, 504, 575, 576, 630, 647] [35, 48, 126, 131, 140, 143, 203, 263, 273, 278, 433, 450, 504, 505, 576, 577, 631, 648] [36, 49, 127, 132, 141, 144, 204, 264, 274, 279, 434, 451, 505, 506, 577, 578, 632, 649] [37, 50, 128, 133, 142, 145, 205, 265, 275, 280, 435, 452, 506, 507, 578, 579, 633, 650] [38, 51, 129, 134, 143, 146, 206, 266, 276, 281, 436, 453, 507, 508, 579, 580, 634, 651] [39, 52, 130, 135, 144, 147, 207, 267, 277, 282, 437, 454, 508, 509, 580, 581, 635, 652] [40, 53, 131, 136, 145, 148, 208, 268, 278, 283, 438, 455, 509, 510, 581, 582, 636, 653] [41, 54, 132, 137, 146, 149, 209, 269, 279, 284, 439, 456, 510, 511, 582, 583, 637, 654] [42, 55, 133, 138, 147, 150, 210, 270, 280, 285, 440, 457, 511, 512, 583, 584, 638, 655] [43, 56, 134, 139, 148, 151, 211, 271, 281, 286, 441, 458, 512, 513, 584, 585, 639, 656] [44, 57, 135, 140, 149, 152, 212, 272, 282, 287, 442, 459, 513, 514, 585, 586, 640, 657] [45, 58, 136, 141, 150, 153, 213, 273, 283, 288, 443, 460, 514, 515, 586, 587, 641, 658] [46, 59, 137, 142, 151, 154, 214, 274, 284, 289, 444, 461, 515, 516, 587, 588, 642, 659] [47, 60, 138, 143, 152, 155, 215, 275, 285, 290, 445, 462, 516, 517, 588, 589, 643, 660] [48, 61, 139, 144, 153, 156, 216, 276, 286, 291, 446, 463, 517, 518, 589, 590, 644, 661] [49, 62, 140, 145, 154, 157, 217, 277, 287, 292, 331, 447, 464, 518, 519, 590, 591, 645] [50, 63, 141, 146, 155, 158, 218, 278, 288, 293, 332, 448, 465, 519, 520, 591, 592, 646] [51, 64, 142, 147, 156, 159, 219, 279, 289, 294, 333, 449, 466, 520, 521, 592, 593, 647] [52, 65, 143, 148, 157, 160, 220, 280, 290, 295, 334, 450, 467, 521, 522, 593, 594, 648] [53, 66, 144, 149, 158, 161, 221, 281, 291, 296, 335, 451, 468, 522, 523, 594, 595, 649] [54, 67, 145, 150, 159, 162, 222, 282, 292, 297, 336, 452, 469, 523, 524, 595, 596, 650] [55, 68, 146, 151, 160, 163, 223, 283, 293, 298, 337, 453, 470, 524, 525, 596, 597, 651] [56, 69, 147, 152, 161, 164, 224, 284, 294, 299, 338, 454, 471, 525, 526, 597, 598, 652]
H_Z (331 checks, sparse supports)
[9, 63, 64, 135, 136, 190, 207, 323, 362, 367, 377, 437, 497, 500, 509, 514, 592, 605] [10, 64, 65, 136, 137, 191, 208, 324, 363, 368, 378, 438, 498, 501, 510, 515, 593, 606] [11, 65, 66, 137, 138, 192, 209, 325, 364, 369, 379, 439, 499, 502, 511, 516, 594, 607] [12, 66, 67, 138, 139, 193, 210, 326, 365, 370, 380, 440, 500, 503, 512, 517, 595, 608] [13, 67, 68, 139, 140, 194, 211, 327, 366, 371, 381, 441, 501, 504, 513, 518, 596, 609] [14, 68, 69, 140, 141, 195, 212, 328, 367, 372, 382, 442, 502, 505, 514, 519, 597, 610] [15, 69, 70, 141, 142, 196, 213, 329, 368, 373, 383, 443, 503, 506, 515, 520, 598, 611] [16, 70, 71, 142, 143, 197, 214, 330, 369, 374, 384, 444, 504, 507, 516, 521, 599, 612] [0, 17, 71, 72, 143, 144, 198, 215, 370, 375, 385, 445, 505, 508, 517, 522, 600, 613] [1, 18, 72, 73, 144, 145, 199, 216, 371, 376, 386, 446, 506, 509, 518, 523, 601, 614] [2, 19, 73, 74, 145, 146, 200, 217, 372, 377, 387, 447, 507, 510, 519, 524, 602, 615] [3, 20, 74, 75, 146, 147, 201, 218, 373, 378, 388, 448, 508, 511, 520, 525, 603, 616] [4, 21, 75, 76, 147, 148, 202, 219, 374, 379, 389, 449, 509, 512, 521, 526, 604, 617] [5, 22, 76, 77, 148, 149, 203, 220, 375, 380, 390, 450, 510, 513, 522, 527, 605, 618] [6, 23, 77, 78, 149, 150, 204, 221, 376, 381, 391, 451, 511, 514, 523, 528, 606, 619] [7, 24, 78, 79, 150, 151, 205, 222, 377, 382, 392, 452, 512, 515, 524, 529, 607, 620] [8, 25, 79, 80, 151, 152, 206, 223, 378, 383, 393, 453, 513, 516, 525, 530, 608, 621] [9, 26, 80, 81, 152, 153, 207, 224, 379, 384, 394, 454, 514, 517, 526, 531, 609, 622] [10, 27, 81, 82, 153, 154, 208, 225, 380, 385, 395, 455, 515, 518, 527, 532, 610, 623] [11, 28, 82, 83, 154, 155, 209, 226, 381, 386, 396, 456, 516, 519, 528, 533, 611, 624] [12, 29, 83, 84, 155, 156, 210, 227, 382, 387, 397, 457, 517, 520, 529, 534, 612, 625] [13, 30, 84, 85, 156, 157, 211, 228, 383, 388, 398, 458, 518, 521, 530, 535, 613, 626] [14, 31, 85, 86, 157, 158, 212, 229, 384, 389, 399, 459, 519, 522, 531, 536, 614, 627] [15, 32, 86, 87, 158, 159, 213, 230, 385, 390, 400, 460, 520, 523, 532, 537, 615, 628] [16, 33, 87, 88, 159, 160, 214, 231, 386, 391, 401, 461, 521, 524, 533, 538, 616, 629] [17, 34, 88, 89, 160, 161, 215, 232, 387, 392, 402, 462, 522, 525, 534, 539, 617, 630] [18, 35, 89, 90, 161, 162, 216, 233, 388, 393, 403, 463, 523, 526, 535, 540, 618, 631] [19, 36, 90, 91, 162, 163, 217, 234, 389, 394, 404, 464, 524, 527, 536, 541, 619, 632] [20, 37, 91, 92, 163, 164, 218, 235, 390, 395, 405, 465, 525, 528, 537, 542, 620, 633] [21, 38, 92, 93, 164, 165, 219, 236, 391, 396, 406, 466, 526, 529, 538, 543, 621, 634] [22, 39, 93, 94, 165, 166, 220, 237, 392, 397, 407, 467, 527, 530, 539, 544, 622, 635] [23, 40, 94, 95, 166, 167, 221, 238, 393, 398, 408, 468, 528, 531, 540, 545, 623, 636] [24, 41, 95, 96, 167, 168, 222, 239, 394, 399, 409, 469, 529, 532, 541, 546, 624, 637] [25, 42, 96, 97, 168, 169, 223, 240, 395, 400, 410, 470, 530, 533, 542, 547, 625, 638] [26, 43, 97, 98, 169, 170, 224, 241, 396, 401, 411, 471, 531, 534, 543, 548, 626, 639] [27, 44, 98, 99, 170, 171, 225, 242, 397, 402, 412, 472, 532, 535, 544, 549, 627, 640] [28, 45, 99, 100, 171, 172, 226, 243, 398, 403, 413, 473, 533, 536, 545, 550, 628, 641] [29, 46, 100, 101, 172, 173, 227, 244, 399, 404, 414, 474, 534, 537, 546, 551, 629, 642] [30, 47, 101, 102, 173, 174, 228, 245, 400, 405, 415, 475, 535, 538, 547, 552, 630, 643] [31, 48, 102, 103, 174, 175, 229, 246, 401, 406, 416, 476, 536, 539, 548, 553, 631, 644] [32, 49, 103, 104, 175, 176, 230, 247, 402, 407, 417, 477, 537, 540, 549, 554, 632, 645] [33, 50, 104, 105, 176, 177, 231, 248, 403, 408, 418, 478, 538, 541, 550, 555, 633, 646] [34, 51, 105, 106, 177, 178, 232, 249, 404, 409, 419, 479, 539, 542, 551, 556, 634, 647] [35, 52, 106, 107, 178, 179, 233, 250, 405, 410, 420, 480, 540, 543, 552, 557, 635, 648] [36, 53, 107, 108, 179, 180, 234, 251, 406, 411, 421, 481, 541, 544, 553, 558, 636, 649] [37, 54, 108, 109, 180, 181, 235, 252, 407, 412, 422, 482, 542, 545, 554, 559, 637, 650] [38, 55, 109, 110, 181, 182, 236, 253, 408, 413, 423, 483, 543, 546, 555, 560, 638, 651] [39, 56, 110, 111, 182, 183, 237, 254, 409, 414, 424, 484, 544, 547, 556, 561, 639, 652] [40, 57, 111, 112, 183, 184, 238, 255, 410, 415, 425, 485, 545, 548, 557, 562, 640, 653] [41, 58, 112, 113, 184, 185, 239, 256, 411, 416, 426, 486, 546, 549, 558, 563, 641, 654] [42, 59, 113, 114, 185, 186, 240, 257, 412, 417, 427, 487, 547, 550, 559, 564, 642, 655] [43, 60, 114, 115, 186, 187, 241, 258, 413, 418, 428, 488, 548, 551, 560, 565, 643, 656] [44, 61, 115, 116, 187, 188, 242, 259, 414, 419, 429, 489, 549, 552, 561, 566, 644, 657] [45, 62, 116, 117, 188, 189, 243, 260, 415, 420, 430, 490, 550, 553, 562, 567, 645, 658] [46, 63, 117, 118, 189, 190, 244, 261, 416, 421, 431, 491, 551, 554, 563, 568, 646, 659] [47, 64, 118, 119, 190, 191, 245, 262, 417, 422, 432, 492, 552, 555, 564, 569, 647, 660] [48, 65, 119, 120, 191, 192, 246, 263, 418, 423, 433, 493, 553, 556, 565, 570, 648, 661] [49, 66, 120, 121, 192, 193, 247, 264, 331, 419, 424, 434, 494, 554, 557, 566, 571, 649] [50, 67, 121, 122, 193, 194, 248, 265, 332, 420, 425, 435, 495, 555, 558, 567, 572, 650] [51, 68, 122, 123, 194, 195, 249, 266, 333, 421, 426, 436, 496, 556, 559, 568, 573, 651] [52, 69, 123, 124, 195, 196, 250, 267, 334, 422, 427, 437, 497, 557, 560, 569, 574, 652] [53, 70, 124, 125, 196, 197, 251, 268, 335, 423, 428, 438, 498, 558, 561, 570, 575, 653] [54, 71, 125, 126, 197, 198, 252, 269, 336, 424, 429, 439, 499, 559, 562, 571, 576, 654] [55, 72, 126, 127, 198, 199, 253, 270, 337, 425, 430, 440, 500, 560, 563, 572, 577, 655] [56, 73, 127, 128, 199, 200, 254, 271, 338, 426, 431, 441, 501, 561, 564, 573, 578, 656] [57, 74, 128, 129, 200, 201, 255, 272, 339, 427, 432, 442, 502, 562, 565, 574, 579, 657] [58, 75, 129, 130, 201, 202, 256, 273, 340, 428, 433, 443, 503, 563, 566, 575, 580, 658] [59, 76, 130, 131, 202, 203, 257, 274, 341, 429, 434, 444, 504, 564, 567, 576, 581, 659] [60, 77, 131, 132, 203, 204, 258, 275, 342, 430, 435, 445, 505, 565, 568, 577, 582, 660] [61, 78, 132, 133, 204, 205, 259, 276, 343, 431, 436, 446, 506, 566, 569, 578, 583, 661] [62, 79, 133, 134, 205, 206, 260, 277, 331, 344, 432, 437, 447, 507, 567, 570, 579, 584] [63, 80, 134, 135, 206, 207, 261, 278, 332, 345, 433, 438, 448, 508, 568, 571, 580, 585] [64, 81, 135, 136, 207, 208, 262, 279, 333, 346, 434, 439, 449, 509, 569, 572, 581, 586] [65, 82, 136, 137, 208, 209, 263, 280, 334, 347, 435, 440, 450, 510, 570, 573, 582, 587] [66, 83, 137, 138, 209, 210, 264, 281, 335, 348, 436, 441, 451, 511, 571, 574, 583, 588] [67, 84, 138, 139, 210, 211, 265, 282, 336, 349, 437, 442, 452, 512, 572, 575, 584, 589] [68, 85, 139, 140, 211, 212, 266, 283, 337, 350, 438, 443, 453, 513, 573, 576, 585, 590] [69, 86, 140, 141, 212, 213, 267, 284, 338, 351, 439, 444, 454, 514, 574, 577, 586, 591] [70, 87, 141, 142, 213, 214, 268, 285, 339, 352, 440, 445, 455, 515, 575, 578, 587, 592] [71, 88, 142, 143, 214, 215, 269, 286, 340, 353, 441, 446, 456, 516, 576, 579, 588, 593] [72, 89, 143, 144, 215, 216, 270, 287, 341, 354, 442, 447, 457, 517, 577, 580, 589, 594] [73, 90, 144, 145, 216, 217, 271, 288, 342, 355, 443, 448, 458, 518, 578, 581, 590, 595] [74, 91, 145, 146, 217, 218, 272, 289, 343, 356, 444, 449, 459, 519, 579, 582, 591, 596] [75, 92, 146, 147, 218, 219, 273, 290, 344, 357, 445, 450, 460, 520, 580, 583, 592, 597] [76, 93, 147, 148, 219, 220, 274, 291, 345, 358, 446, 451, 461, 521, 581, 584, 593, 598] [77, 94, 148, 149, 220, 221, 275, 292, 346, 359, 447, 452, 462, 522, 582, 585, 594, 599] [78, 95, 149, 150, 221, 222, 276, 293, 347, 360, 448, 453, 463, 523, 583, 586, 595, 600] [79, 96, 150, 151, 222, 223, 277, 294, 348, 361, 449, 454, 464, 524, 584, 587, 596, 601] [80, 97, 151, 152, 223, 224, 278, 295, 349, 362, 450, 455, 465, 525, 585, 588, 597, 602] [81, 98, 152, 153, 224, 225, 279, 296, 350, 363, 451, 456, 466, 526, 586, 589, 598, 603] [82, 99, 153, 154, 225, 226, 280, 297, 351, 364, 452, 457, 467, 527, 587, 590, 599, 604] [83, 100, 154, 155, 226, 227, 281, 298, 352, 365, 453, 458, 468, 528, 588, 591, 600, 605] [84, 101, 155, 156, 227, 228, 282, 299, 353, 366, 454, 459, 469, 529, 589, 592, 601, 606] [85, 102, 156, 157, 228, 229, 283, 300, 354, 367, 455, 460, 470, 530, 590, 593, 602, 607] [86, 103, 157, 158, 229, 230, 284, 301, 355, 368, 456, 461, 471, 531, 591, 594, 603, 608] [87, 104, 158, 159, 230, 231, 285, 302, 356, 369, 457, 462, 472, 532, 592, 595, 604, 609] [88, 105, 159, 160, 231, 232, 286, 303, 357, 370, 458, 463, 473, 533, 593, 596, 605, 610] [89, 106, 160, 161, 232, 233, 287, 304, 358, 371, 459, 464, 474, 534, 594, 597, 606, 611] [90, 107, 161, 162, 233, 234, 288, 305, 359, 372, 460, 465, 475, 535, 595, 598, 607, 612] [91, 108, 162, 163, 234, 235, 289, 306, 360, 373, 461, 466, 476, 536, 596, 599, 608, 613] [92, 109, 163, 164, 235, 236, 290, 307, 361, 374, 462, 467, 477, 537, 597, 600, 609, 614] [93, 110, 164, 165, 236, 237, 291, 308, 362, 375, 463, 468, 478, 538, 598, 601, 610, 615] [94, 111, 165, 166, 237, 238, 292, 309, 363, 376, 464, 469, 479, 539, 599, 602, 611, 616] [95, 112, 166, 167, 238, 239, 293, 310, 364, 377, 465, 470, 480, 540, 600, 603, 612, 617] [96, 113, 167, 168, 239, 240, 294, 311, 365, 378, 466, 471, 481, 541, 601, 604, 613, 618] [97, 114, 168, 169, 240, 241, 295, 312, 366, 379, 467, 472, 482, 542, 602, 605, 614, 619] [98, 115, 169, 170, 241, 242, 296, 313, 367, 380, 468, 473, 483, 543, 603, 606, 615, 620] [99, 116, 170, 171, 242, 243, 297, 314, 368, 381, 469, 474, 484, 544, 604, 607, 616, 621] [100, 117, 171, 172, 243, 244, 298, 315, 369, 382, 470, 475, 485, 545, 605, 608, 617, 622] [101, 118, 172, 173, 244, 245, 299, 316, 370, 383, 471, 476, 486, 546, 606, 609, 618, 623] [102, 119, 173, 174, 245, 246, 300, 317, 371, 384, 472, 477, 487, 547, 607, 610, 619, 624] [103, 120, 174, 175, 246, 247, 301, 318, 372, 385, 473, 478, 488, 548, 608, 611, 620, 625] [104, 121, 175, 176, 247, 248, 302, 319, 373, 386, 474, 479, 489, 549, 609, 612, 621, 626] [105, 122, 176, 177, 248, 249, 303, 320, 374, 387, 475, 480, 490, 550, 610, 613, 622, 627] [106, 123, 177, 178, 249, 250, 304, 321, 375, 388, 476, 481, 491, 551, 611, 614, 623, 628] [107, 124, 178, 179, 250, 251, 305, 322, 376, 389, 477, 482, 492, 552, 612, 615, 624, 629] [108, 125, 179, 180, 251, 252, 306, 323, 377, 390, 478, 483, 493, 553, 613, 616, 625, 630] [109, 126, 180, 181, 252, 253, 307, 324, 378, 391, 479, 484, 494, 554, 614, 617, 626, 631] [110, 127, 181, 182, 253, 254, 308, 325, 379, 392, 480, 485, 495, 555, 615, 618, 627, 632] [111, 128, 182, 183, 254, 255, 309, 326, 380, 393, 481, 486, 496, 556, 616, 619, 628, 633] [112, 129, 183, 184, 255, 256, 310, 327, 381, 394, 482, 487, 497, 557, 617, 620, 629, 634] [113, 130, 184, 185, 256, 257, 311, 328, 382, 395, 483, 488, 498, 558, 618, 621, 630, 635] [114, 131, 185, 186, 257, 258, 312, 329, 383, 396, 484, 489, 499, 559, 619, 622, 631, 636] [115, 132, 186, 187, 258, 259, 313, 330, 384, 397, 485, 490, 500, 560, 620, 623, 632, 637] [0, 116, 133, 187, 188, 259, 260, 314, 385, 398, 486, 491, 501, 561, 621, 624, 633, 638] [1, 117, 134, 188, 189, 260, 261, 315, 386, 399, 487, 492, 502, 562, 622, 625, 634, 639] [2, 118, 135, 189, 190, 261, 262, 316, 387, 400, 488, 493, 503, 563, 623, 626, 635, 640] [3, 119, 136, 190, 191, 262, 263, 317, 388, 401, 489, 494, 504, 564, 624, 627, 636, 641] [4, 120, 137, 191, 192, 263, 264, 318, 389, 402, 490, 495, 505, 565, 625, 628, 637, 642] [5, 121, 138, 192, 193, 264, 265, 319, 390, 403, 491, 496, 506, 566, 626, 629, 638, 643] [6, 122, 139, 193, 194, 265, 266, 320, 391, 404, 492, 497, 507, 567, 627, 630, 639, 644] [7, 123, 140, 194, 195, 266, 267, 321, 392, 405, 493, 498, 508, 568, 628, 631, 640, 645] [8, 124, 141, 195, 196, 267, 268, 322, 393, 406, 494, 499, 509, 569, 629, 632, 641, 646] [9, 125, 142, 196, 197, 268, 269, 323, 394, 407, 495, 500, 510, 570, 630, 633, 642, 647] [10, 126, 143, 197, 198, 269, 270, 324, 395, 408, 496, 501, 511, 571, 631, 634, 643, 648] [11, 127, 144, 198, 199, 270, 271, 325, 396, 409, 497, 502, 512, 572, 632, 635, 644, 649] [12, 128, 145, 199, 200, 271, 272, 326, 397, 410, 498, 503, 513, 573, 633, 636, 645, 650] [13, 129, 146, 200, 201, 272, 273, 327, 398, 411, 499, 504, 514, 574, 634, 637, 646, 651] [14, 130, 147, 201, 202, 273, 274, 328, 399, 412, 500, 505, 515, 575, 635, 638, 647, 652] [15, 131, 148, 202, 203, 274, 275, 329, 400, 413, 501, 506, 516, 576, 636, 639, 648, 653] [16, 132, 149, 203, 204, 275, 276, 330, 401, 414, 502, 507, 517, 577, 637, 640, 649, 654] [0, 17, 133, 150, 204, 205, 276, 277, 402, 415, 503, 508, 518, 578, 638, 641, 650, 655] [1, 18, 134, 151, 205, 206, 277, 278, 403, 416, 504, 509, 519, 579, 639, 642, 651, 656] [2, 19, 135, 152, 206, 207, 278, 279, 404, 417, 505, 510, 520, 580, 640, 643, 652, 657] [3, 20, 136, 153, 207, 208, 279, 280, 405, 418, 506, 511, 521, 581, 641, 644, 653, 658] [4, 21, 137, 154, 208, 209, 280, 281, 406, 419, 507, 512, 522, 582, 642, 645, 654, 659] [5, 22, 138, 155, 209, 210, 281, 282, 407, 420, 508, 513, 523, 583, 643, 646, 655, 660] [6, 23, 139, 156, 210, 211, 282, 283, 408, 421, 509, 514, 524, 584, 644, 647, 656, 661] [7, 24, 140, 157, 211, 212, 283, 284, 331, 409, 422, 510, 515, 525, 585, 645, 648, 657] [8, 25, 141, 158, 212, 213, 284, 285, 332, 410, 423, 511, 516, 526, 586, 646, 649, 658] [9, 26, 142, 159, 213, 214, 285, 286, 333, 411, 424, 512, 517, 527, 587, 647, 650, 659] [10, 27, 143, 160, 214, 215, 286, 287, 334, 412, 425, 513, 518, 528, 588, 648, 651, 660] [11, 28, 144, 161, 215, 216, 287, 288, 335, 413, 426, 514, 519, 529, 589, 649, 652, 661] [12, 29, 145, 162, 216, 217, 288, 289, 331, 336, 414, 427, 515, 520, 530, 590, 650, 653] [13, 30, 146, 163, 217, 218, 289, 290, 332, 337, 415, 428, 516, 521, 531, 591, 651, 654] [14, 31, 147, 164, 218, 219, 290, 291, 333, 338, 416, 429, 517, 522, 532, 592, 652, 655] [15, 32, 148, 165, 219, 220, 291, 292, 334, 339, 417, 430, 518, 523, 533, 593, 653, 656] [16, 33, 149, 166, 220, 221, 292, 293, 335, 340, 418, 431, 519, 524, 534, 594, 654, 657] [17, 34, 150, 167, 221, 222, 293, 294, 336, 341, 419, 432, 520, 525, 535, 595, 655, 658] [18, 35, 151, 168, 222, 223, 294, 295, 337, 342, 420, 433, 521, 526, 536, 596, 656, 659] [19, 36, 152, 169, 223, 224, 295, 296, 338, 343, 421, 434, 522, 527, 537, 597, 657, 660] [20, 37, 153, 170, 224, 225, 296, 297, 339, 344, 422, 435, 523, 528, 538, 598, 658, 661] [21, 38, 154, 171, 225, 226, 297, 298, 331, 340, 345, 423, 436, 524, 529, 539, 599, 659] [22, 39, 155, 172, 226, 227, 298, 299, 332, 341, 346, 424, 437, 525, 530, 540, 600, 660] [23, 40, 156, 173, 227, 228, 299, 300, 333, 342, 347, 425, 438, 526, 531, 541, 601, 661] [24, 41, 157, 174, 228, 229, 300, 301, 331, 334, 343, 348, 426, 439, 527, 532, 542, 602] [25, 42, 158, 175, 229, 230, 301, 302, 332, 335, 344, 349, 427, 440, 528, 533, 543, 603] [26, 43, 159, 176, 230, 231, 302, 303, 333, 336, 345, 350, 428, 441, 529, 534, 544, 604] [27, 44, 160, 177, 231, 232, 303, 304, 334, 337, 346, 351, 429, 442, 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Code ID 662-62-89 · download JSON · raw on GitHub