[[674,86,89]] · QEC Challenge

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[[674,86,89]] d ≤

674

kd²/n

1010.691

X/Z

1.03

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Distance

X/Z asymmetry 1.03 · d_X ≤ 92, d_Z ≤ 89 · w_X = 24, w_Z = 24 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 92 · witness weight 92 (claimed upper_bound)

witness found by @FarLab · sqetch · found at 10⁹ trials · 2026-08-19

witness operator (support, 92 qubits)

[3, 5, 6, 8, 10, 12, 13, 22, 25, 29, 35, 37, 39, 44, 45, 50, 53, 60, 70, 82, 83, 84, 89, 91, 99, 107, 108, 111, 112, 113, 117, 122, 127, 129, 132, 136, 142, 143, 148, 150, 157, 160, 162, 163, 174, 178, 186, 188, 189, 194, 199, 206, 211, 217, 219, 221, 229, 244, 245, 247, 251, 259, 263, 264, 265, 266, 268, 269, 270, 272, 274, 276, 280, 281, 283, 284, 285, 286, 289, 342, 348, 374, 407, 466, 472, 502, 503, 541, 554, 593, 641, 668]

d_Z 89 · witness weight 89 (claimed upper_bound)

witness operator (support, 89 qubits)

[2, 3, 5, 7, 10, 14, 20, 26, 29, 47, 49, 50, 51, 62, 71, 77, 83, 84, 97, 105, 112, 126, 136, 145, 147, 151, 155, 176, 184, 199, 210, 229, 230, 237, 255, 277, 286, 303, 307, 310, 312, 320, 323, 339, 343, 356, 360, 367, 373, 376, 388, 390, 397, 398, 415, 419, 422, 434, 435, 437, 454, 468, 471, 475, 495, 526, 527, 533, 539, 544, 546, 551, 559, 569, 574, 578, 585, 596, 603, 611, 629, 630, 644, 654, 655, 661, 662, 665, 668]

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 24 · H_Z 24

qubit degrees H_X 10–14 (mean 12.0) · H_Z 10–14 (mean 12.0)

trapping sets H_X (1,10)×337 (2,16)×1348 (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

(1,10): 337 (1,14): 337 (2,16): 1348 (2,18): 13480 (2,20): 4718 (2,22): 34711 (2,24): 3707 (2,26): 23253

trapping sets H_Z (1,10)×337 (2,16)×1348 (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

(1,10): 337 (1,14): 337 (2,16): 1348 (2,18): 13480 (2,20): 4718 (2,22): 34711 (2,24): 3707 (2,26): 23253

Construction & provenance

authors @kessler-frost

provenance submitted through the challenge

novelty novelty not audited

construction Generalized bicycle code over the cyclic group Z_337: H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T], with a = x^[55, 60, 62, 79, 128, 135, 136, 190, 212, 276] and b = x^[63, 105, 112, 144, 215, 241, 253, 267, 276, 300, 312, 316, 317, 320] (exponents modulo 337). The designed-divisor search retained the 14-term b polynomial from @vprusso's [[674,86,92]] submission and searched new 10-term a polynomials while preserving k = 2 deg gcd(a, b, x³³⁷ - 1) = 86.

model GPT 5.6 Sol (claimed, not verified)

builds on https://github.com/unitaryfoundation/qldpc-challenge/blob/96d7bca0385b8ab40575bec4b8445a27b6e08bfb/codes/674-86-92.json, https://github.com/unitaryfoundation/qldpc-challenge/pull/560, https://github.com/unitaryfoundation/qldpc-challenge/blob/928cedb93aeeaa768dfb7f93db2d31d54e38e9f0/fieldnotes/2026-07-14-designed-divisor-and-odd-k.md, https://quantum-journal.org/papers/q-2021-11-22-585/, https://arxiv.org/abs/2203.17216, https://arxiv.org/abs/2608.09115

date 2026-08-16

notes Submitted by @kessler-frost, who designed and ran the candidate search. The retained b polynomial is credited to @vprusso and the pinned source above; the a polynomial was found in the new search. The original d <= 95 submission was refuted by public CI seed 147873169, whose RIS-fast pass found the retained weight-89 Z logical. This revision therefore makes only the corrected witness-backed claims d_X <= 98, d_Z <= 89, and d <= 89; no lower bound or exact-distance claim is made. No exact or WL-equivalent current-board entry was found, but no exhaustive literature classification is known, so novelty is unknown. X-side bound revised 2026-08-19 by GPU deep refutation. Random-ISD runs with the sqetch GPU kernels (Muzhou Ma, MIT) on an NVIDIA L40S: a 50M-trial x 3-seed triage per side, then a 1,000,000,000-trial recovery ladder per side (seed 77000003 for X, 77000004 for Z), committed a weight-92 X logical, re-verified on the CPU with the repo's GF(2) arithmetic and recorded here as the new X witness, tightening dX<=98 to dX<=92. The same budget found no Z logical lighter than weight 90, so the claimed dZ<=89 and the overall d<=89 stand unchanged (the deep run corroborates rather than refutes the headline distance; score unchanged at 86*89^2/674 = 1010.55). All distances remain witness-backed upper bounds, not exact-distance claims. @kessler-frost constructed the code; @FarLab is added as an author for the bound revision, following the board's precedent for refutation contributions. Migrated 2026-08-19 (issue #611): refutation credit moved from provenance.authors to witness_provenance on the refuted side(s); authors again lists only the constructor.

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

[[674,86,89]] — designed-divisor generalized-bicycle code over Z_337

Direction & hypothesis

The target was the unrestricted, any-weight frontier at n=674. Its incumbent was [[674,86,d<=92]] with maximum check weight 30 and headline score k d^2 / n = 1079.976. I kept the incumbent's 14-term b polynomial and searched for a new, lighter 10-term a inside the same cyclic ideal. The hypothesis was that preserving the degree-43 common divisor would keep k=86, while changing one circulant and reducing the total row weight could improve distance without paying a rate or blocklength penalty.

The code has maximum check weight 24 and corrected witnessed d<=89, giving 86 * 89^2 / 674 = 1010.691. It no longer advances the frontier: the incumbent at the same n and k has d<=92. This revision is retained as an honest record of the CI refutation rather than a claim of improvement.

What was searched

Three independent campaigns used seeds 97, 149, and 211. Each mined 256 designed-divisor words and selected 128 distinct candidate pairs, for 768 mined words and 384 candidates in total. Every candidate was rebuilt as a CSS generalized-bicycle code, rank-filtered for k>=86, and screened against the incumbent with the same randomized information-set-search depths.

Each campaign used this survivor ladder:

| Stage | Trials per scheduled search | Depths | Survivors | | --- | ---: | --- | ---: | | scout | 4,000 | 8 | 16 | | filter | 20,000 | 8, 16 | 4 | | semifinal | 100,000 | 8, 16, 24 | 1 | | confirmation | 1,000,000 | 8, 16, 24, 32 | 1 |

The seed-149 campaign produced the submitted pair. Its lightest observations moved from 107 at scout, to 104 at filter, to 100 at semifinal. The four confirmation depths returned 98 (X), 95 (Z), 96 (Z), and 96 (Z), leaving the stored side bounds at X=98 and Z=95.

Evidence trail

The explicit logical witnesses in codes/674-86-89.json independently verify as nontrivial logicals of weight 98 on the X side and 89 on the Z side. The trusted verifier recomputes n=674, ranks 294 and 294, k=86, CSS commutation, and maximum row weight 24.

After the 1M-stage confirmation, a fresh deep gate used seed 503 for 105,880 Python RIS trials and seed 510 for 8,000,000 native trials. It found no logical lighter than 95. Public CI then used independent seed 147873169; its RIS-fast pass found a valid weight-89 Z logical. This revision retains that CI witness and corrects the overall claim to d<=89. A separate matrix/fingerprint audit rebuilt the checks from the two supports and found neither an exact duplicate nor a WL-equivalent entry on the current board.

The reported distance is a witness-backed upper bound, not an exact distance or a proved lower bound. The deep searches are refutation evidence only, and public CI will run another fresh probabilistic attack.

Two nearby results calibrate the search. The seed-97 finalist first screened at 94, then an 8M-trial deep pass found a Z logical of weight 92. The seed-211 finalist held at 94 under its separate deep pass. An earlier preliminary finalist screened at 96 and then collapsed under independent deep seeds to Z=94 and X=89. The public refutation shows that one additional deep seed was still insufficient evidence.

Dead ends

Low-trial distance estimates were the main false-positive source: the preliminary

96 estimate ultimately fell by seven.

The three seed-149 semifinal candidates that were not promoted ended at 97, 96,

and 99 under the same 100k-stage scoring.

One of the three final campaigns collapsed from 94 to 92 only at the 8M-trial

gate, despite surviving the full staged funnel.

The original seed-149 claim collapsed from 95 to 89 only under public CI's fresh

8M-trial seed; the corrected code is dominated by the old incumbent.

Public catalog and exact-support searches found no duplicate, but they are not an

exhaustive classification; provenance novelty is therefore recorded as unknown.

Tools

The campaign used GPT 5.6 Sol as the research agent, the repository's GF(2) and trusted validation modules, and the native gf2_fast information-set search. The three producers ran concurrently with four native threads each on a 12-core Apple M4 Pro with 48 GiB RAM. The producer ladder took about 65 minutes of wall time; the three independent deep gates ran concurrently for about another hour. No MLX or GPU acceleration was used.

Reproduction

Let m=337. For a support s, define circ(s) as the binary 337 x 337 circulant whose row i has ones in columns (i+j) mod 337 for j in s. Use

a = [55, 60, 62, 79, 128, 135, 136, 190, 212, 276]
b = [63, 105, 112, 144, 215, 241, 253, 267, 276, 300, 312, 316, 317, 320]
H_X = [circ(a) | circ(b)]
H_Z = [circ(b)^T | circ(a)^T]

The b support is retained verbatim from @vprusso's [[674,86,d<=92]] submission in PR #560; @kessler-frost designed and ran the new search for a. The pinned source and related construction references are recorded in the JSON provenance.

Parity checks

X-checks 337 (max weight 24) · Z-checks 337 (max weight 24)

H_X (337 checks, sparse supports)

[55, 60, 62, 79, 128, 135, 136, 190, 212, 276, 400, 442, 449, 481, 552, 578, 590, 604, 613, 637, 649, 653, 654, 657] [56, 61, 63, 80, 129, 136, 137, 191, 213, 277, 401, 443, 450, 482, 553, 579, 591, 605, 614, 638, 650, 654, 655, 658] [57, 62, 64, 81, 130, 137, 138, 192, 214, 278, 402, 444, 451, 483, 554, 580, 592, 606, 615, 639, 651, 655, 656, 659] [58, 63, 65, 82, 131, 138, 139, 193, 215, 279, 403, 445, 452, 484, 555, 581, 593, 607, 616, 640, 652, 656, 657, 660] [59, 64, 66, 83, 132, 139, 140, 194, 216, 280, 404, 446, 453, 485, 556, 582, 594, 608, 617, 641, 653, 657, 658, 661] [60, 65, 67, 84, 133, 140, 141, 195, 217, 281, 405, 447, 454, 486, 557, 583, 595, 609, 618, 642, 654, 658, 659, 662] [61, 66, 68, 85, 134, 141, 142, 196, 218, 282, 406, 448, 455, 487, 558, 584, 596, 610, 619, 643, 655, 659, 660, 663] [62, 67, 69, 86, 135, 142, 143, 197, 219, 283, 407, 449, 456, 488, 559, 585, 597, 611, 620, 644, 656, 660, 661, 664] [63, 68, 70, 87, 136, 143, 144, 198, 220, 284, 408, 450, 457, 489, 560, 586, 598, 612, 621, 645, 657, 661, 662, 665] [64, 69, 71, 88, 137, 144, 145, 199, 221, 285, 409, 451, 458, 490, 561, 587, 599, 613, 622, 646, 658, 662, 663, 666] [65, 70, 72, 89, 138, 145, 146, 200, 222, 286, 410, 452, 459, 491, 562, 588, 600, 614, 623, 647, 659, 663, 664, 667] [66, 71, 73, 90, 139, 146, 147, 201, 223, 287, 411, 453, 460, 492, 563, 589, 601, 615, 624, 648, 660, 664, 665, 668] [67, 72, 74, 91, 140, 147, 148, 202, 224, 288, 412, 454, 461, 493, 564, 590, 602, 616, 625, 649, 661, 665, 666, 669] [68, 73, 75, 92, 141, 148, 149, 203, 225, 289, 413, 455, 462, 494, 565, 591, 603, 617, 626, 650, 662, 666, 667, 670] [69, 74, 76, 93, 142, 149, 150, 204, 226, 290, 414, 456, 463, 495, 566, 592, 604, 618, 627, 651, 663, 667, 668, 671] [70, 75, 77, 94, 143, 150, 151, 205, 227, 291, 415, 457, 464, 496, 567, 593, 605, 619, 628, 652, 664, 668, 669, 672] [71, 76, 78, 95, 144, 151, 152, 206, 228, 292, 416, 458, 465, 497, 568, 594, 606, 620, 629, 653, 665, 669, 670, 673] [72, 77, 79, 96, 145, 152, 153, 207, 229, 293, 337, 417, 459, 466, 498, 569, 595, 607, 621, 630, 654, 666, 670, 671] [73, 78, 80, 97, 146, 153, 154, 208, 230, 294, 338, 418, 460, 467, 499, 570, 596, 608, 622, 631, 655, 667, 671, 672] [74, 79, 81, 98, 147, 154, 155, 209, 231, 295, 339, 419, 461, 468, 500, 571, 597, 609, 623, 632, 656, 668, 672, 673] [75, 80, 82, 99, 148, 155, 156, 210, 232, 296, 337, 340, 420, 462, 469, 501, 572, 598, 610, 624, 633, 657, 669, 673] [76, 81, 83, 100, 149, 156, 157, 211, 233, 297, 337, 338, 341, 421, 463, 470, 502, 573, 599, 611, 625, 634, 658, 670] [77, 82, 84, 101, 150, 157, 158, 212, 234, 298, 338, 339, 342, 422, 464, 471, 503, 574, 600, 612, 626, 635, 659, 671] [78, 83, 85, 102, 151, 158, 159, 213, 235, 299, 339, 340, 343, 423, 465, 472, 504, 575, 601, 613, 627, 636, 660, 672] [79, 84, 86, 103, 152, 159, 160, 214, 236, 300, 340, 341, 344, 424, 466, 473, 505, 576, 602, 614, 628, 637, 661, 673] [80, 85, 87, 104, 153, 160, 161, 215, 237, 301, 337, 341, 342, 345, 425, 467, 474, 506, 577, 603, 615, 629, 638, 662] [81, 86, 88, 105, 154, 161, 162, 216, 238, 302, 338, 342, 343, 346, 426, 468, 475, 507, 578, 604, 616, 630, 639, 663] [82, 87, 89, 106, 155, 162, 163, 217, 239, 303, 339, 343, 344, 347, 427, 469, 476, 508, 579, 605, 617, 631, 640, 664] [83, 88, 90, 107, 156, 163, 164, 218, 240, 304, 340, 344, 345, 348, 428, 470, 477, 509, 580, 606, 618, 632, 641, 665] [84, 89, 91, 108, 157, 164, 165, 219, 241, 305, 341, 345, 346, 349, 429, 471, 478, 510, 581, 607, 619, 633, 642, 666] [85, 90, 92, 109, 158, 165, 166, 220, 242, 306, 342, 346, 347, 350, 430, 472, 479, 511, 582, 608, 620, 634, 643, 667] [86, 91, 93, 110, 159, 166, 167, 221, 243, 307, 343, 347, 348, 351, 431, 473, 480, 512, 583, 609, 621, 635, 644, 668] [87, 92, 94, 111, 160, 167, 168, 222, 244, 308, 344, 348, 349, 352, 432, 474, 481, 513, 584, 610, 622, 636, 645, 669] [88, 93, 95, 112, 161, 168, 169, 223, 245, 309, 345, 349, 350, 353, 433, 475, 482, 514, 585, 611, 623, 637, 646, 670] [89, 94, 96, 113, 162, 169, 170, 224, 246, 310, 346, 350, 351, 354, 434, 476, 483, 515, 586, 612, 624, 638, 647, 671] [90, 95, 97, 114, 163, 170, 171, 225, 247, 311, 347, 351, 352, 355, 435, 477, 484, 516, 587, 613, 625, 639, 648, 672] [91, 96, 98, 115, 164, 171, 172, 226, 248, 312, 348, 352, 353, 356, 436, 478, 485, 517, 588, 614, 626, 640, 649, 673] [92, 97, 99, 116, 165, 172, 173, 227, 249, 313, 337, 349, 353, 354, 357, 437, 479, 486, 518, 589, 615, 627, 641, 650] [93, 98, 100, 117, 166, 173, 174, 228, 250, 314, 338, 350, 354, 355, 358, 438, 480, 487, 519, 590, 616, 628, 642, 651] [94, 99, 101, 118, 167, 174, 175, 229, 251, 315, 339, 351, 355, 356, 359, 439, 481, 488, 520, 591, 617, 629, 643, 652] [95, 100, 102, 119, 168, 175, 176, 230, 252, 316, 340, 352, 356, 357, 360, 440, 482, 489, 521, 592, 618, 630, 644, 653] [96, 101, 103, 120, 169, 176, 177, 231, 253, 317, 341, 353, 357, 358, 361, 441, 483, 490, 522, 593, 619, 631, 645, 654] [97, 102, 104, 121, 170, 177, 178, 232, 254, 318, 342, 354, 358, 359, 362, 442, 484, 491, 523, 594, 620, 632, 646, 655] [98, 103, 105, 122, 171, 178, 179, 233, 255, 319, 343, 355, 359, 360, 363, 443, 485, 492, 524, 595, 621, 633, 647, 656] [99, 104, 106, 123, 172, 179, 180, 234, 256, 320, 344, 356, 360, 361, 364, 444, 486, 493, 525, 596, 622, 634, 648, 657] [100, 105, 107, 124, 173, 180, 181, 235, 257, 321, 345, 357, 361, 362, 365, 445, 487, 494, 526, 597, 623, 635, 649, 658] [101, 106, 108, 125, 174, 181, 182, 236, 258, 322, 346, 358, 362, 363, 366, 446, 488, 495, 527, 598, 624, 636, 650, 659] [102, 107, 109, 126, 175, 182, 183, 237, 259, 323, 347, 359, 363, 364, 367, 447, 489, 496, 528, 599, 625, 637, 651, 660] [103, 108, 110, 127, 176, 183, 184, 238, 260, 324, 348, 360, 364, 365, 368, 448, 490, 497, 529, 600, 626, 638, 652, 661] [104, 109, 111, 128, 177, 184, 185, 239, 261, 325, 349, 361, 365, 366, 369, 449, 491, 498, 530, 601, 627, 639, 653, 662] [105, 110, 112, 129, 178, 185, 186, 240, 262, 326, 350, 362, 366, 367, 370, 450, 492, 499, 531, 602, 628, 640, 654, 663] [106, 111, 113, 130, 179, 186, 187, 241, 263, 327, 351, 363, 367, 368, 371, 451, 493, 500, 532, 603, 629, 641, 655, 664] [107, 112, 114, 131, 180, 187, 188, 242, 264, 328, 352, 364, 368, 369, 372, 452, 494, 501, 533, 604, 630, 642, 656, 665] [108, 113, 115, 132, 181, 188, 189, 243, 265, 329, 353, 365, 369, 370, 373, 453, 495, 502, 534, 605, 631, 643, 657, 666] [109, 114, 116, 133, 182, 189, 190, 244, 266, 330, 354, 366, 370, 371, 374, 454, 496, 503, 535, 606, 632, 644, 658, 667] [110, 115, 117, 134, 183, 190, 191, 245, 267, 331, 355, 367, 371, 372, 375, 455, 497, 504, 536, 607, 633, 645, 659, 668] [111, 116, 118, 135, 184, 191, 192, 246, 268, 332, 356, 368, 372, 373, 376, 456, 498, 505, 537, 608, 634, 646, 660, 669] [112, 117, 119, 136, 185, 192, 193, 247, 269, 333, 357, 369, 373, 374, 377, 457, 499, 506, 538, 609, 635, 647, 661, 670] [113, 118, 120, 137, 186, 193, 194, 248, 270, 334, 358, 370, 374, 375, 378, 458, 500, 507, 539, 610, 636, 648, 662, 671] [114, 119, 121, 138, 187, 194, 195, 249, 271, 335, 359, 371, 375, 376, 379, 459, 501, 508, 540, 611, 637, 649, 663, 672] [115, 120, 122, 139, 188, 195, 196, 250, 272, 336, 360, 372, 376, 377, 380, 460, 502, 509, 541, 612, 638, 650, 664, 673] [0, 116, 121, 123, 140, 189, 196, 197, 251, 273, 337, 361, 373, 377, 378, 381, 461, 503, 510, 542, 613, 639, 651, 665] [1, 117, 122, 124, 141, 190, 197, 198, 252, 274, 338, 362, 374, 378, 379, 382, 462, 504, 511, 543, 614, 640, 652, 666] [2, 118, 123, 125, 142, 191, 198, 199, 253, 275, 339, 363, 375, 379, 380, 383, 463, 505, 512, 544, 615, 641, 653, 667] [3, 119, 124, 126, 143, 192, 199, 200, 254, 276, 340, 364, 376, 380, 381, 384, 464, 506, 513, 545, 616, 642, 654, 668] [4, 120, 125, 127, 144, 193, 200, 201, 255, 277, 341, 365, 377, 381, 382, 385, 465, 507, 514, 546, 617, 643, 655, 669] [5, 121, 126, 128, 145, 194, 201, 202, 256, 278, 342, 366, 378, 382, 383, 386, 466, 508, 515, 547, 618, 644, 656, 670] [6, 122, 127, 129, 146, 195, 202, 203, 257, 279, 343, 367, 379, 383, 384, 387, 467, 509, 516, 548, 619, 645, 657, 671] [7, 123, 128, 130, 147, 196, 203, 204, 258, 280, 344, 368, 380, 384, 385, 388, 468, 510, 517, 549, 620, 646, 658, 672] [8, 124, 129, 131, 148, 197, 204, 205, 259, 281, 345, 369, 381, 385, 386, 389, 469, 511, 518, 550, 621, 647, 659, 673] [9, 125, 130, 132, 149, 198, 205, 206, 260, 282, 337, 346, 370, 382, 386, 387, 390, 470, 512, 519, 551, 622, 648, 660] [10, 126, 131, 133, 150, 199, 206, 207, 261, 283, 338, 347, 371, 383, 387, 388, 391, 471, 513, 520, 552, 623, 649, 661] [11, 127, 132, 134, 151, 200, 207, 208, 262, 284, 339, 348, 372, 384, 388, 389, 392, 472, 514, 521, 553, 624, 650, 662] [12, 128, 133, 135, 152, 201, 208, 209, 263, 285, 340, 349, 373, 385, 389, 390, 393, 473, 515, 522, 554, 625, 651, 663] [13, 129, 134, 136, 153, 202, 209, 210, 264, 286, 341, 350, 374, 386, 390, 391, 394, 474, 516, 523, 555, 626, 652, 664] [14, 130, 135, 137, 154, 203, 210, 211, 265, 287, 342, 351, 375, 387, 391, 392, 395, 475, 517, 524, 556, 627, 653, 665] [15, 131, 136, 138, 155, 204, 211, 212, 266, 288, 343, 352, 376, 388, 392, 393, 396, 476, 518, 525, 557, 628, 654, 666] [16, 132, 137, 139, 156, 205, 212, 213, 267, 289, 344, 353, 377, 389, 393, 394, 397, 477, 519, 526, 558, 629, 655, 667] [17, 133, 138, 140, 157, 206, 213, 214, 268, 290, 345, 354, 378, 390, 394, 395, 398, 478, 520, 527, 559, 630, 656, 668] [18, 134, 139, 141, 158, 207, 214, 215, 269, 291, 346, 355, 379, 391, 395, 396, 399, 479, 521, 528, 560, 631, 657, 669] [19, 135, 140, 142, 159, 208, 215, 216, 270, 292, 347, 356, 380, 392, 396, 397, 400, 480, 522, 529, 561, 632, 658, 670] [20, 136, 141, 143, 160, 209, 216, 217, 271, 293, 348, 357, 381, 393, 397, 398, 401, 481, 523, 530, 562, 633, 659, 671] [21, 137, 142, 144, 161, 210, 217, 218, 272, 294, 349, 358, 382, 394, 398, 399, 402, 482, 524, 531, 563, 634, 660, 672] [22, 138, 143, 145, 162, 211, 218, 219, 273, 295, 350, 359, 383, 395, 399, 400, 403, 483, 525, 532, 564, 635, 661, 673] [23, 139, 144, 146, 163, 212, 219, 220, 274, 296, 337, 351, 360, 384, 396, 400, 401, 404, 484, 526, 533, 565, 636, 662] [24, 140, 145, 147, 164, 213, 220, 221, 275, 297, 338, 352, 361, 385, 397, 401, 402, 405, 485, 527, 534, 566, 637, 663] [25, 141, 146, 148, 165, 214, 221, 222, 276, 298, 339, 353, 362, 386, 398, 402, 403, 406, 486, 528, 535, 567, 638, 664] [26, 142, 147, 149, 166, 215, 222, 223, 277, 299, 340, 354, 363, 387, 399, 403, 404, 407, 487, 529, 536, 568, 639, 665] [27, 143, 148, 150, 167, 216, 223, 224, 278, 300, 341, 355, 364, 388, 400, 404, 405, 408, 488, 530, 537, 569, 640, 666] [28, 144, 149, 151, 168, 217, 224, 225, 279, 301, 342, 356, 365, 389, 401, 405, 406, 409, 489, 531, 538, 570, 641, 667] [29, 145, 150, 152, 169, 218, 225, 226, 280, 302, 343, 357, 366, 390, 402, 406, 407, 410, 490, 532, 539, 571, 642, 668] [30, 146, 151, 153, 170, 219, 226, 227, 281, 303, 344, 358, 367, 391, 403, 407, 408, 411, 491, 533, 540, 572, 643, 669] [31, 147, 152, 154, 171, 220, 227, 228, 282, 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[10, 17, 18, 72, 94, 158, 274, 279, 281, 298, 363, 434, 460, 472, 486, 495, 519, 531, 535, 536, 539, 619, 661, 668] [11, 18, 19, 73, 95, 159, 275, 280, 282, 299, 364, 435, 461, 473, 487, 496, 520, 532, 536, 537, 540, 620, 662, 669] [12, 19, 20, 74, 96, 160, 276, 281, 283, 300, 365, 436, 462, 474, 488, 497, 521, 533, 537, 538, 541, 621, 663, 670] [13, 20, 21, 75, 97, 161, 277, 282, 284, 301, 366, 437, 463, 475, 489, 498, 522, 534, 538, 539, 542, 622, 664, 671] [14, 21, 22, 76, 98, 162, 278, 283, 285, 302, 367, 438, 464, 476, 490, 499, 523, 535, 539, 540, 543, 623, 665, 672] [15, 22, 23, 77, 99, 163, 279, 284, 286, 303, 368, 439, 465, 477, 491, 500, 524, 536, 540, 541, 544, 624, 666, 673] [16, 23, 24, 78, 100, 164, 280, 285, 287, 304, 337, 369, 440, 466, 478, 492, 501, 525, 537, 541, 542, 545, 625, 667] [17, 24, 25, 79, 101, 165, 281, 286, 288, 305, 338, 370, 441, 467, 479, 493, 502, 526, 538, 542, 543, 546, 626, 668] [18, 25, 26, 80, 102, 166, 282, 287, 289, 306, 339, 371, 442, 468, 480, 494, 503, 527, 539, 543, 544, 547, 627, 669] [19, 26, 27, 81, 103, 167, 283, 288, 290, 307, 340, 372, 443, 469, 481, 495, 504, 528, 540, 544, 545, 548, 628, 670] [20, 27, 28, 82, 104, 168, 284, 289, 291, 308, 341, 373, 444, 470, 482, 496, 505, 529, 541, 545, 546, 549, 629, 671] [21, 28, 29, 83, 105, 169, 285, 290, 292, 309, 342, 374, 445, 471, 483, 497, 506, 530, 542, 546, 547, 550, 630, 672] [22, 29, 30, 84, 106, 170, 286, 291, 293, 310, 343, 375, 446, 472, 484, 498, 507, 531, 543, 547, 548, 551, 631, 673] [23, 30, 31, 85, 107, 171, 287, 292, 294, 311, 337, 344, 376, 447, 473, 485, 499, 508, 532, 544, 548, 549, 552, 632] [24, 31, 32, 86, 108, 172, 288, 293, 295, 312, 338, 345, 377, 448, 474, 486, 500, 509, 533, 545, 549, 550, 553, 633] [25, 32, 33, 87, 109, 173, 289, 294, 296, 313, 339, 346, 378, 449, 475, 487, 501, 510, 534, 546, 550, 551, 554, 634] [26, 33, 34, 88, 110, 174, 290, 295, 297, 314, 340, 347, 379, 450, 476, 488, 502, 511, 535, 547, 551, 552, 555, 635] [27, 34, 35, 89, 111, 175, 291, 296, 298, 315, 341, 348, 380, 451, 477, 489, 503, 512, 536, 548, 552, 553, 556, 636] [28, 35, 36, 90, 112, 176, 292, 297, 299, 316, 342, 349, 381, 452, 478, 490, 504, 513, 537, 549, 553, 554, 557, 637] [29, 36, 37, 91, 113, 177, 293, 298, 300, 317, 343, 350, 382, 453, 479, 491, 505, 514, 538, 550, 554, 555, 558, 638] [30, 37, 38, 92, 114, 178, 294, 299, 301, 318, 344, 351, 383, 454, 480, 492, 506, 515, 539, 551, 555, 556, 559, 639] [31, 38, 39, 93, 115, 179, 295, 300, 302, 319, 345, 352, 384, 455, 481, 493, 507, 516, 540, 552, 556, 557, 560, 640] [32, 39, 40, 94, 116, 180, 296, 301, 303, 320, 346, 353, 385, 456, 482, 494, 508, 517, 541, 553, 557, 558, 561, 641] [33, 40, 41, 95, 117, 181, 297, 302, 304, 321, 347, 354, 386, 457, 483, 495, 509, 518, 542, 554, 558, 559, 562, 642] [34, 41, 42, 96, 118, 182, 298, 303, 305, 322, 348, 355, 387, 458, 484, 496, 510, 519, 543, 555, 559, 560, 563, 643] [35, 42, 43, 97, 119, 183, 299, 304, 306, 323, 349, 356, 388, 459, 485, 497, 511, 520, 544, 556, 560, 561, 564, 644] [36, 43, 44, 98, 120, 184, 300, 305, 307, 324, 350, 357, 389, 460, 486, 498, 512, 521, 545, 557, 561, 562, 565, 645] [37, 44, 45, 99, 121, 185, 301, 306, 308, 325, 351, 358, 390, 461, 487, 499, 513, 522, 546, 558, 562, 563, 566, 646] [38, 45, 46, 100, 122, 186, 302, 307, 309, 326, 352, 359, 391, 462, 488, 500, 514, 523, 547, 559, 563, 564, 567, 647] [39, 46, 47, 101, 123, 187, 303, 308, 310, 327, 353, 360, 392, 463, 489, 501, 515, 524, 548, 560, 564, 565, 568, 648] [40, 47, 48, 102, 124, 188, 304, 309, 311, 328, 354, 361, 393, 464, 490, 502, 516, 525, 549, 561, 565, 566, 569, 649] [41, 48, 49, 103, 125, 189, 305, 310, 312, 329, 355, 362, 394, 465, 491, 503, 517, 526, 550, 562, 566, 567, 570, 650] [42, 49, 50, 104, 126, 190, 306, 311, 313, 330, 356, 363, 395, 466, 492, 504, 518, 527, 551, 563, 567, 568, 571, 651] [43, 50, 51, 105, 127, 191, 307, 312, 314, 331, 357, 364, 396, 467, 493, 505, 519, 528, 552, 564, 568, 569, 572, 652] [44, 51, 52, 106, 128, 192, 308, 313, 315, 332, 358, 365, 397, 468, 494, 506, 520, 529, 553, 565, 569, 570, 573, 653] [45, 52, 53, 107, 129, 193, 309, 314, 316, 333, 359, 366, 398, 469, 495, 507, 521, 530, 554, 566, 570, 571, 574, 654] [46, 53, 54, 108, 130, 194, 310, 315, 317, 334, 360, 367, 399, 470, 496, 508, 522, 531, 555, 567, 571, 572, 575, 655] [47, 54, 55, 109, 131, 195, 311, 316, 318, 335, 361, 368, 400, 471, 497, 509, 523, 532, 556, 568, 572, 573, 576, 656] [48, 55, 56, 110, 132, 196, 312, 317, 319, 336, 362, 369, 401, 472, 498, 510, 524, 533, 557, 569, 573, 574, 577, 657] [0, 49, 56, 57, 111, 133, 197, 313, 318, 320, 363, 370, 402, 473, 499, 511, 525, 534, 558, 570, 574, 575, 578, 658] [1, 50, 57, 58, 112, 134, 198, 314, 319, 321, 364, 371, 403, 474, 500, 512, 526, 535, 559, 571, 575, 576, 579, 659] [2, 51, 58, 59, 113, 135, 199, 315, 320, 322, 365, 372, 404, 475, 501, 513, 527, 536, 560, 572, 576, 577, 580, 660] [3, 52, 59, 60, 114, 136, 200, 316, 321, 323, 366, 373, 405, 476, 502, 514, 528, 537, 561, 573, 577, 578, 581, 661] [4, 53, 60, 61, 115, 137, 201, 317, 322, 324, 367, 374, 406, 477, 503, 515, 529, 538, 562, 574, 578, 579, 582, 662] [5, 54, 61, 62, 116, 138, 202, 318, 323, 325, 368, 375, 407, 478, 504, 516, 530, 539, 563, 575, 579, 580, 583, 663] [6, 55, 62, 63, 117, 139, 203, 319, 324, 326, 369, 376, 408, 479, 505, 517, 531, 540, 564, 576, 580, 581, 584, 664] [7, 56, 63, 64, 118, 140, 204, 320, 325, 327, 370, 377, 409, 480, 506, 518, 532, 541, 565, 577, 581, 582, 585, 665] [8, 57, 64, 65, 119, 141, 205, 321, 326, 328, 371, 378, 410, 481, 507, 519, 533, 542, 566, 578, 582, 583, 586, 666] [9, 58, 65, 66, 120, 142, 206, 322, 327, 329, 372, 379, 411, 482, 508, 520, 534, 543, 567, 579, 583, 584, 587, 667] [10, 59, 66, 67, 121, 143, 207, 323, 328, 330, 373, 380, 412, 483, 509, 521, 535, 544, 568, 580, 584, 585, 588, 668] [11, 60, 67, 68, 122, 144, 208, 324, 329, 331, 374, 381, 413, 484, 510, 522, 536, 545, 569, 581, 585, 586, 589, 669] [12, 61, 68, 69, 123, 145, 209, 325, 330, 332, 375, 382, 414, 485, 511, 523, 537, 546, 570, 582, 586, 587, 590, 670] [13, 62, 69, 70, 124, 146, 210, 326, 331, 333, 376, 383, 415, 486, 512, 524, 538, 547, 571, 583, 587, 588, 591, 671] [14, 63, 70, 71, 125, 147, 211, 327, 332, 334, 377, 384, 416, 487, 513, 525, 539, 548, 572, 584, 588, 589, 592, 672] [15, 64, 71, 72, 126, 148, 212, 328, 333, 335, 378, 385, 417, 488, 514, 526, 540, 549, 573, 585, 589, 590, 593, 673] [16, 65, 72, 73, 127, 149, 213, 329, 334, 336, 337, 379, 386, 418, 489, 515, 527, 541, 550, 574, 586, 590, 591, 594] [0, 17, 66, 73, 74, 128, 150, 214, 330, 335, 338, 380, 387, 419, 490, 516, 528, 542, 551, 575, 587, 591, 592, 595] [1, 18, 67, 74, 75, 129, 151, 215, 331, 336, 339, 381, 388, 420, 491, 517, 529, 543, 552, 576, 588, 592, 593, 596] [0, 2, 19, 68, 75, 76, 130, 152, 216, 332, 340, 382, 389, 421, 492, 518, 530, 544, 553, 577, 589, 593, 594, 597] [1, 3, 20, 69, 76, 77, 131, 153, 217, 333, 341, 383, 390, 422, 493, 519, 531, 545, 554, 578, 590, 594, 595, 598] [2, 4, 21, 70, 77, 78, 132, 154, 218, 334, 342, 384, 391, 423, 494, 520, 532, 546, 555, 579, 591, 595, 596, 599] [3, 5, 22, 71, 78, 79, 133, 155, 219, 335, 343, 385, 392, 424, 495, 521, 533, 547, 556, 580, 592, 596, 597, 600] [4, 6, 23, 72, 79, 80, 134, 156, 220, 336, 344, 386, 393, 425, 496, 522, 534, 548, 557, 581, 593, 597, 598, 601] [0, 5, 7, 24, 73, 80, 81, 135, 157, 221, 345, 387, 394, 426, 497, 523, 535, 549, 558, 582, 594, 598, 599, 602] [1, 6, 8, 25, 74, 81, 82, 136, 158, 222, 346, 388, 395, 427, 498, 524, 536, 550, 559, 583, 595, 599, 600, 603] [2, 7, 9, 26, 75, 82, 83, 137, 159, 223, 347, 389, 396, 428, 499, 525, 537, 551, 560, 584, 596, 600, 601, 604] [3, 8, 10, 27, 76, 83, 84, 138, 160, 224, 348, 390, 397, 429, 500, 526, 538, 552, 561, 585, 597, 601, 602, 605] [4, 9, 11, 28, 77, 84, 85, 139, 161, 225, 349, 391, 398, 430, 501, 527, 539, 553, 562, 586, 598, 602, 603, 606] [5, 10, 12, 29, 78, 85, 86, 140, 162, 226, 350, 392, 399, 431, 502, 528, 540, 554, 563, 587, 599, 603, 604, 607] [6, 11, 13, 30, 79, 86, 87, 141, 163, 227, 351, 393, 400, 432, 503, 529, 541, 555, 564, 588, 600, 604, 605, 608] [7, 12, 14, 31, 80, 87, 88, 142, 164, 228, 352, 394, 401, 433, 504, 530, 542, 556, 565, 589, 601, 605, 606, 609] [8, 13, 15, 32, 81, 88, 89, 143, 165, 229, 353, 395, 402, 434, 505, 531, 543, 557, 566, 590, 602, 606, 607, 610] [9, 14, 16, 33, 82, 89, 90, 144, 166, 230, 354, 396, 403, 435, 506, 532, 544, 558, 567, 591, 603, 607, 608, 611] [10, 15, 17, 34, 83, 90, 91, 145, 167, 231, 355, 397, 404, 436, 507, 533, 545, 559, 568, 592, 604, 608, 609, 612] [11, 16, 18, 35, 84, 91, 92, 146, 168, 232, 356, 398, 405, 437, 508, 534, 546, 560, 569, 593, 605, 609, 610, 613] [12, 17, 19, 36, 85, 92, 93, 147, 169, 233, 357, 399, 406, 438, 509, 535, 547, 561, 570, 594, 606, 610, 611, 614] [13, 18, 20, 37, 86, 93, 94, 148, 170, 234, 358, 400, 407, 439, 510, 536, 548, 562, 571, 595, 607, 611, 612, 615] [14, 19, 21, 38, 87, 94, 95, 149, 171, 235, 359, 401, 408, 440, 511, 537, 549, 563, 572, 596, 608, 612, 613, 616] [15, 20, 22, 39, 88, 95, 96, 150, 172, 236, 360, 402, 409, 441, 512, 538, 550, 564, 573, 597, 609, 613, 614, 617] [16, 21, 23, 40, 89, 96, 97, 151, 173, 237, 361, 403, 410, 442, 513, 539, 551, 565, 574, 598, 610, 614, 615, 618] [17, 22, 24, 41, 90, 97, 98, 152, 174, 238, 362, 404, 411, 443, 514, 540, 552, 566, 575, 599, 611, 615, 616, 619] [18, 23, 25, 42, 91, 98, 99, 153, 175, 239, 363, 405, 412, 444, 515, 541, 553, 567, 576, 600, 612, 616, 617, 620] [19, 24, 26, 43, 92, 99, 100, 154, 176, 240, 364, 406, 413, 445, 516, 542, 554, 568, 577, 601, 613, 617, 618, 621] [20, 25, 27, 44, 93, 100, 101, 155, 177, 241, 365, 407, 414, 446, 517, 543, 555, 569, 578, 602, 614, 618, 619, 622] [21, 26, 28, 45, 94, 101, 102, 156, 178, 242, 366, 408, 415, 447, 518, 544, 556, 570, 579, 603, 615, 619, 620, 623] [22, 27, 29, 46, 95, 102, 103, 157, 179, 243, 367, 409, 416, 448, 519, 545, 557, 571, 580, 604, 616, 620, 621, 624] [23, 28, 30, 47, 96, 103, 104, 158, 180, 244, 368, 410, 417, 449, 520, 546, 558, 572, 581, 605, 617, 621, 622, 625] [24, 29, 31, 48, 97, 104, 105, 159, 181, 245, 369, 411, 418, 450, 521, 547, 559, 573, 582, 606, 618, 622, 623, 626] [25, 30, 32, 49, 98, 105, 106, 160, 182, 246, 370, 412, 419, 451, 522, 548, 560, 574, 583, 607, 619, 623, 624, 627] [26, 31, 33, 50, 99, 106, 107, 161, 183, 247, 371, 413, 420, 452, 523, 549, 561, 575, 584, 608, 620, 624, 625, 628] [27, 32, 34, 51, 100, 107, 108, 162, 184, 248, 372, 414, 421, 453, 524, 550, 562, 576, 585, 609, 621, 625, 626, 629] [28, 33, 35, 52, 101, 108, 109, 163, 185, 249, 373, 415, 422, 454, 525, 551, 563, 577, 586, 610, 622, 626, 627, 630] [29, 34, 36, 53, 102, 109, 110, 164, 186, 250, 374, 416, 423, 455, 526, 552, 564, 578, 587, 611, 623, 627, 628, 631] [30, 35, 37, 54, 103, 110, 111, 165, 187, 251, 375, 417, 424, 456, 527, 553, 565, 579, 588, 612, 624, 628, 629, 632] [31, 36, 38, 55, 104, 111, 112, 166, 188, 252, 376, 418, 425, 457, 528, 554, 566, 580, 589, 613, 625, 629, 630, 633] [32, 37, 39, 56, 105, 112, 113, 167, 189, 253, 377, 419, 426, 458, 529, 555, 567, 581, 590, 614, 626, 630, 631, 634] [33, 38, 40, 57, 106, 113, 114, 168, 190, 254, 378, 420, 427, 459, 530, 556, 568, 582, 591, 615, 627, 631, 632, 635] [34, 39, 41, 58, 107, 114, 115, 169, 191, 255, 379, 421, 428, 460, 531, 557, 569, 583, 592, 616, 628, 632, 633, 636] [35, 40, 42, 59, 108, 115, 116, 170, 192, 256, 380, 422, 429, 461, 532, 558, 570, 584, 593, 617, 629, 633, 634, 637] [36, 41, 43, 60, 109, 116, 117, 171, 193, 257, 381, 423, 430, 462, 533, 559, 571, 585, 594, 618, 630, 634, 635, 638] [37, 42, 44, 61, 110, 117, 118, 172, 194, 258, 382, 424, 431, 463, 534, 560, 572, 586, 595, 619, 631, 635, 636, 639] [38, 43, 45, 62, 111, 118, 119, 173, 195, 259, 383, 425, 432, 464, 535, 561, 573, 587, 596, 620, 632, 636, 637, 640] [39, 44, 46, 63, 112, 119, 120, 174, 196, 260, 384, 426, 433, 465, 536, 562, 574, 588, 597, 621, 633, 637, 638, 641] [40, 45, 47, 64, 113, 120, 121, 175, 197, 261, 385, 427, 434, 466, 537, 563, 575, 589, 598, 622, 634, 638, 639, 642] [41, 46, 48, 65, 114, 121, 122, 176, 198, 262, 386, 428, 435, 467, 538, 564, 576, 590, 599, 623, 635, 639, 640, 643] [42, 47, 49, 66, 115, 122, 123, 177, 199, 263, 387, 429, 436, 468, 539, 565, 577, 591, 600, 624, 636, 640, 641, 644] [43, 48, 50, 67, 116, 123, 124, 178, 200, 264, 388, 430, 437, 469, 540, 566, 578, 592, 601, 625, 637, 641, 642, 645] [44, 49, 51, 68, 117, 124, 125, 179, 201, 265, 389, 431, 438, 470, 541, 567, 579, 593, 602, 626, 638, 642, 643, 646] [45, 50, 52, 69, 118, 125, 126, 180, 202, 266, 390, 432, 439, 471, 542, 568, 580, 594, 603, 627, 639, 643, 644, 647] [46, 51, 53, 70, 119, 126, 127, 181, 203, 267, 391, 433, 440, 472, 543, 569, 581, 595, 604, 628, 640, 644, 645, 648] [47, 52, 54, 71, 120, 127, 128, 182, 204, 268, 392, 434, 441, 473, 544, 570, 582, 596, 605, 629, 641, 645, 646, 649] [48, 53, 55, 72, 121, 128, 129, 183, 205, 269, 393, 435, 442, 474, 545, 571, 583, 597, 606, 630, 642, 646, 647, 650] [49, 54, 56, 73, 122, 129, 130, 184, 206, 270, 394, 436, 443, 475, 546, 572, 584, 598, 607, 631, 643, 647, 648, 651] [50, 55, 57, 74, 123, 130, 131, 185, 207, 271, 395, 437, 444, 476, 547, 573, 585, 599, 608, 632, 644, 648, 649, 652] [51, 56, 58, 75, 124, 131, 132, 186, 208, 272, 396, 438, 445, 477, 548, 574, 586, 600, 609, 633, 645, 649, 650, 653] [52, 57, 59, 76, 125, 132, 133, 187, 209, 273, 397, 439, 446, 478, 549, 575, 587, 601, 610, 634, 646, 650, 651, 654] [53, 58, 60, 77, 126, 133, 134, 188, 210, 274, 398, 440, 447, 479, 550, 576, 588, 602, 611, 635, 647, 651, 652, 655] [54, 59, 61, 78, 127, 134, 135, 189, 211, 275, 399, 441, 448, 480, 551, 577, 589, 603, 612, 636, 648, 652, 653, 656]

H_Z (337 checks, sparse supports)

[17, 20, 21, 25, 37, 61, 70, 84, 96, 122, 193, 225, 232, 274, 398, 462, 484, 538, 539, 546, 595, 612, 614, 619] [18, 21, 22, 26, 38, 62, 71, 85, 97, 123, 194, 226, 233, 275, 399, 463, 485, 539, 540, 547, 596, 613, 615, 620] [19, 22, 23, 27, 39, 63, 72, 86, 98, 124, 195, 227, 234, 276, 400, 464, 486, 540, 541, 548, 597, 614, 616, 621] [20, 23, 24, 28, 40, 64, 73, 87, 99, 125, 196, 228, 235, 277, 401, 465, 487, 541, 542, 549, 598, 615, 617, 622] [21, 24, 25, 29, 41, 65, 74, 88, 100, 126, 197, 229, 236, 278, 402, 466, 488, 542, 543, 550, 599, 616, 618, 623] [22, 25, 26, 30, 42, 66, 75, 89, 101, 127, 198, 230, 237, 279, 403, 467, 489, 543, 544, 551, 600, 617, 619, 624] [23, 26, 27, 31, 43, 67, 76, 90, 102, 128, 199, 231, 238, 280, 404, 468, 490, 544, 545, 552, 601, 618, 620, 625] [24, 27, 28, 32, 44, 68, 77, 91, 103, 129, 200, 232, 239, 281, 405, 469, 491, 545, 546, 553, 602, 619, 621, 626] [25, 28, 29, 33, 45, 69, 78, 92, 104, 130, 201, 233, 240, 282, 406, 470, 492, 546, 547, 554, 603, 620, 622, 627] [26, 29, 30, 34, 46, 70, 79, 93, 105, 131, 202, 234, 241, 283, 407, 471, 493, 547, 548, 555, 604, 621, 623, 628] [27, 30, 31, 35, 47, 71, 80, 94, 106, 132, 203, 235, 242, 284, 408, 472, 494, 548, 549, 556, 605, 622, 624, 629] [28, 31, 32, 36, 48, 72, 81, 95, 107, 133, 204, 236, 243, 285, 409, 473, 495, 549, 550, 557, 606, 623, 625, 630] [29, 32, 33, 37, 49, 73, 82, 96, 108, 134, 205, 237, 244, 286, 410, 474, 496, 550, 551, 558, 607, 624, 626, 631] [30, 33, 34, 38, 50, 74, 83, 97, 109, 135, 206, 238, 245, 287, 411, 475, 497, 551, 552, 559, 608, 625, 627, 632] [31, 34, 35, 39, 51, 75, 84, 98, 110, 136, 207, 239, 246, 288, 412, 476, 498, 552, 553, 560, 609, 626, 628, 633] [32, 35, 36, 40, 52, 76, 85, 99, 111, 137, 208, 240, 247, 289, 413, 477, 499, 553, 554, 561, 610, 627, 629, 634] [33, 36, 37, 41, 53, 77, 86, 100, 112, 138, 209, 241, 248, 290, 414, 478, 500, 554, 555, 562, 611, 628, 630, 635] [34, 37, 38, 42, 54, 78, 87, 101, 113, 139, 210, 242, 249, 291, 415, 479, 501, 555, 556, 563, 612, 629, 631, 636] [35, 38, 39, 43, 55, 79, 88, 102, 114, 140, 211, 243, 250, 292, 416, 480, 502, 556, 557, 564, 613, 630, 632, 637] [36, 39, 40, 44, 56, 80, 89, 103, 115, 141, 212, 244, 251, 293, 417, 481, 503, 557, 558, 565, 614, 631, 633, 638] [37, 40, 41, 45, 57, 81, 90, 104, 116, 142, 213, 245, 252, 294, 418, 482, 504, 558, 559, 566, 615, 632, 634, 639] [38, 41, 42, 46, 58, 82, 91, 105, 117, 143, 214, 246, 253, 295, 419, 483, 505, 559, 560, 567, 616, 633, 635, 640] [39, 42, 43, 47, 59, 83, 92, 106, 118, 144, 215, 247, 254, 296, 420, 484, 506, 560, 561, 568, 617, 634, 636, 641] [40, 43, 44, 48, 60, 84, 93, 107, 119, 145, 216, 248, 255, 297, 421, 485, 507, 561, 562, 569, 618, 635, 637, 642] [41, 44, 45, 49, 61, 85, 94, 108, 120, 146, 217, 249, 256, 298, 422, 486, 508, 562, 563, 570, 619, 636, 638, 643] [42, 45, 46, 50, 62, 86, 95, 109, 121, 147, 218, 250, 257, 299, 423, 487, 509, 563, 564, 571, 620, 637, 639, 644] [43, 46, 47, 51, 63, 87, 96, 110, 122, 148, 219, 251, 258, 300, 424, 488, 510, 564, 565, 572, 621, 638, 640, 645] [44, 47, 48, 52, 64, 88, 97, 111, 123, 149, 220, 252, 259, 301, 425, 489, 511, 565, 566, 573, 622, 639, 641, 646] [45, 48, 49, 53, 65, 89, 98, 112, 124, 150, 221, 253, 260, 302, 426, 490, 512, 566, 567, 574, 623, 640, 642, 647] [46, 49, 50, 54, 66, 90, 99, 113, 125, 151, 222, 254, 261, 303, 427, 491, 513, 567, 568, 575, 624, 641, 643, 648] [47, 50, 51, 55, 67, 91, 100, 114, 126, 152, 223, 255, 262, 304, 428, 492, 514, 568, 569, 576, 625, 642, 644, 649] [48, 51, 52, 56, 68, 92, 101, 115, 127, 153, 224, 256, 263, 305, 429, 493, 515, 569, 570, 577, 626, 643, 645, 650] [49, 52, 53, 57, 69, 93, 102, 116, 128, 154, 225, 257, 264, 306, 430, 494, 516, 570, 571, 578, 627, 644, 646, 651] [50, 53, 54, 58, 70, 94, 103, 117, 129, 155, 226, 258, 265, 307, 431, 495, 517, 571, 572, 579, 628, 645, 647, 652] [51, 54, 55, 59, 71, 95, 104, 118, 130, 156, 227, 259, 266, 308, 432, 496, 518, 572, 573, 580, 629, 646, 648, 653] [52, 55, 56, 60, 72, 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262, 386, 450, 472, 526, 527, 534, 583, 600, 602, 607] [6, 9, 10, 14, 26, 50, 59, 73, 85, 111, 182, 214, 221, 263, 387, 451, 473, 527, 528, 535, 584, 601, 603, 608] [7, 10, 11, 15, 27, 51, 60, 74, 86, 112, 183, 215, 222, 264, 388, 452, 474, 528, 529, 536, 585, 602, 604, 609] [8, 11, 12, 16, 28, 52, 61, 75, 87, 113, 184, 216, 223, 265, 389, 453, 475, 529, 530, 537, 586, 603, 605, 610] [9, 12, 13, 17, 29, 53, 62, 76, 88, 114, 185, 217, 224, 266, 390, 454, 476, 530, 531, 538, 587, 604, 606, 611] [10, 13, 14, 18, 30, 54, 63, 77, 89, 115, 186, 218, 225, 267, 391, 455, 477, 531, 532, 539, 588, 605, 607, 612] [11, 14, 15, 19, 31, 55, 64, 78, 90, 116, 187, 219, 226, 268, 392, 456, 478, 532, 533, 540, 589, 606, 608, 613] [12, 15, 16, 20, 32, 56, 65, 79, 91, 117, 188, 220, 227, 269, 393, 457, 479, 533, 534, 541, 590, 607, 609, 614] [13, 16, 17, 21, 33, 57, 66, 80, 92, 118, 189, 221, 228, 270, 394, 458, 480, 534, 535, 542, 591, 608, 610, 615] [14, 17, 18, 22, 34, 58, 67, 81, 93, 119, 190, 222, 229, 271, 395, 459, 481, 535, 536, 543, 592, 609, 611, 616] [15, 18, 19, 23, 35, 59, 68, 82, 94, 120, 191, 223, 230, 272, 396, 460, 482, 536, 537, 544, 593, 610, 612, 617] [16, 19, 20, 24, 36, 60, 69, 83, 95, 121, 192, 224, 231, 273, 397, 461, 483, 537, 538, 545, 594, 611, 613, 618]

Code ID 674-86-89 · download JSON · raw on GitHub