[[682,142,82]] · QEC Challenge

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[[682,142,82]] d ≤

682

142

kd²/n

1400.012

X/Z

1.01

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Distance

X/Z asymmetry 1.01 · d_X ≤ 82, d_Z ≤ 83 · w_X = 32, w_Z = 32 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 82 · witness weight 82 (claimed upper_bound)

witness found by @vprusso · ris_gpu · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-21

witness operator (support, 82 qubits)

[0, 2, 7, 14, 17, 23, 26, 28, 31, 36, 43, 44, 47, 48, 51, 52, 55, 58, 59, 61, 62, 68, 69, 74, 81, 82, 86, 91, 93, 95, 101, 110, 115, 116, 120, 132, 139, 141, 150, 152, 154, 155, 156, 161, 173, 191, 201, 207, 211, 212, 213, 216, 217, 218, 222, 225, 237, 244, 246, 249, 252, 253, 254, 257, 258, 259, 260, 262, 268, 376, 450, 459, 463, 495, 511, 530, 611, 619, 628, 629, 630, 674]

d_Z 83 · witness weight 83 (claimed upper_bound)

witness found by @vprusso · verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified) · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-24

witness operator (support, 83 qubits)

[2, 10, 13, 14, 20, 23, 24, 26, 28, 29, 31, 32, 40, 41, 44, 49, 50, 58, 59, 60, 62, 64, 65, 66, 68, 73, 78, 83, 91, 95, 113, 114, 115, 127, 132, 134, 138, 142, 144, 152, 153, 154, 158, 163, 164, 167, 174, 177, 179, 183, 188, 189, 195, 197, 198, 199, 211, 213, 215, 225, 230, 232, 233, 240, 252, 254, 257, 258, 259, 266, 269, 344, 371, 379, 403, 505, 529, 607, 611, 645, 646, 666, 680]

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 32 · H_Z 32

qubit degrees H_X 16 · H_Z 16

trapping sets H_X (1,16)×682 (2,24)×341 (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

(1,16): 682 (2,24): 341 (2,26): 6479 (2,28): 33418 (2,30): 81499

trapping sets H_Z (1,16)×682 (2,24)×341 (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

(1,16): 682 (2,24): 341 (2,26): 6479 (2,28): 33418 (2,30): 81499

Construction & provenance

authors @DennisWayo

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code over Z_341; divisor ideal degree 71 from x³⁴¹+1 over GF(2); a=[0, 1, 2, 22, 27, 29, 71, 91, 154, 162, 165, 197, 222, 236, 258, 289]; b=[79, 81, 82, 87, 109, 118, 121, 140, 141, 183, 185, 203, 207, 262, 267, 299]; H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T].

model OpenAI GPT-5 (Codex) (claimed, not verified)

date 2026-09-14

notes Found by a cyclic-ideal generalized-bicycle search over Z_341 and tightened before submission. The initial package was reduced by the trusted circulant-GB structural gate, which found an X logical of weight 88. A deeper CI-style pre-submission refutation pass then found the submitted X logical witness of weight 87. A final local CI-style fire test at the submitted d<=87 claim ran the structural circulant-GB pass (400000 trials), the Python RIS pass (106840 trials), and RIS-fast (8000000 trials, seed 1396805778) without finding a lighter logical. This is an honest witness-backed upper-bound claim, not an exact-distance certificate. Refuted the d_Z<=90 claim with the verified weight-85 Z logical supplied by @ethanfeld on 2026-09-15; search budget not reported.

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

[[682,142,82]]: distance revision of the board's [[682,142,82]] entry

Revision history

The entry keeps its parameters [[682,142,82]]. The code, its checks, its layout, and its original provenance are unchanged; only the distance block is corrected. A GPU random-information-set search (verify/ris_gpu.py, recover mode, 300,000,000 trials per side, pair depth 0, seed 4101) exhibits a weight-83 Z logical, so the previous witness-backed bound was overstated on that side; the overall distance d = 82 is unchanged. Each lighter witness is carried in the entry with the budget it was found at; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

Every GPU proposal was re-validated on the CPU against the committed check matrices (in the kernel of the opposite side's checks, outside the row space of its own side) before it was recorded. The pass is the weekly fresh-seed re-measurement of the board's cell leaders (issue 2025, run of 2026-09-24); every recorded reading is the lightest CPU-verified logical at that budget.

| side | seed | claimed | GPU best weight | CPU-verified witness | trials | |---|---|---|---|---|---| | X | 4101 | 82 | 85 | 85 | 300,000,000 | | Z | 4101 | 84 | 83 | 83 | 300,000,000 | | X | 4102 | 82 | 84 | 84 | 300,000,000 | | Z | 4102 | 84 | 86 | 86 | 300,000,000 |

Original note, with the file paths updated

[[682,142,82]]: distance revision of the board's [[682,142,85]] entry

Revision history

[[682,142,82]] supersedes the board's [[682,142,85]] entry. The code, its checks, its layout, and its original provenance are unchanged; only the distance claim is corrected. A GPU random-information-set search (verify/ris_gpu.py, recover mode, 300,000,000 trials per side, seed 2031) exhibits a weight-82 X-logical and a weight-84 Z-logical, so the previous witness-backed bound d <= 85 was overstated and the honest parameter set is [[682,142,82]]. The headline falls from kd^2/n = 1504.33 to 1400.01. Each lighter witness is carried in the entry with the budget it was found at and survived; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

Every GPU proposal was re-validated on the CPU against the sparse check matrices (in the kernel of the opposite side's checks, outside the row space of its own side) before it was recorded.

| side | claimed | lightest logical found | trials | seed | CPU-verified | |---|---|---|---|---|---| | X | 87 | 82 | 300,000,000 | 2031 | yes | | Z | 85 | 84 | 300,000,000 | 2031 | yes |

The pass that produced this ran the same search over every verified-new entry on the board; this entry is one of the few whose declared distance did not hold.

Parity checks

X-checks 341 (max weight 32) · Z-checks 341 (max weight 32)

H_X (341 checks, sparse supports)

[0, 1, 2, 22, 27, 29, 71, 91, 154, 162, 165, 197, 222, 236, 258, 289, 420, 422, 423, 428, 450, 459, 462, 481, 482, 524, 526, 544, 548, 603, 608, 640] [1, 2, 3, 23, 28, 30, 72, 92, 155, 163, 166, 198, 223, 237, 259, 290, 421, 423, 424, 429, 451, 460, 463, 482, 483, 525, 527, 545, 549, 604, 609, 641] [2, 3, 4, 24, 29, 31, 73, 93, 156, 164, 167, 199, 224, 238, 260, 291, 422, 424, 425, 430, 452, 461, 464, 483, 484, 526, 528, 546, 550, 605, 610, 642] [3, 4, 5, 25, 30, 32, 74, 94, 157, 165, 168, 200, 225, 239, 261, 292, 423, 425, 426, 431, 453, 462, 465, 484, 485, 527, 529, 547, 551, 606, 611, 643] [4, 5, 6, 26, 31, 33, 75, 95, 158, 166, 169, 201, 226, 240, 262, 293, 424, 426, 427, 432, 454, 463, 466, 485, 486, 528, 530, 548, 552, 607, 612, 644] [5, 6, 7, 27, 32, 34, 76, 96, 159, 167, 170, 202, 227, 241, 263, 294, 425, 427, 428, 433, 455, 464, 467, 486, 487, 529, 531, 549, 553, 608, 613, 645] [6, 7, 8, 28, 33, 35, 77, 97, 160, 168, 171, 203, 228, 242, 264, 295, 426, 428, 429, 434, 456, 465, 468, 487, 488, 530, 532, 550, 554, 609, 614, 646] [7, 8, 9, 29, 34, 36, 78, 98, 161, 169, 172, 204, 229, 243, 265, 296, 427, 429, 430, 435, 457, 466, 469, 488, 489, 531, 533, 551, 555, 610, 615, 647] [8, 9, 10, 30, 35, 37, 79, 99, 162, 170, 173, 205, 230, 244, 266, 297, 428, 430, 431, 436, 458, 467, 470, 489, 490, 532, 534, 552, 556, 611, 616, 648] [9, 10, 11, 31, 36, 38, 80, 100, 163, 171, 174, 206, 231, 245, 267, 298, 429, 431, 432, 437, 459, 468, 471, 490, 491, 533, 535, 553, 557, 612, 617, 649] [10, 11, 12, 32, 37, 39, 81, 101, 164, 172, 175, 207, 232, 246, 268, 299, 430, 432, 433, 438, 460, 469, 472, 491, 492, 534, 536, 554, 558, 613, 618, 650] [11, 12, 13, 33, 38, 40, 82, 102, 165, 173, 176, 208, 233, 247, 269, 300, 431, 433, 434, 439, 461, 470, 473, 492, 493, 535, 537, 555, 559, 614, 619, 651] [12, 13, 14, 34, 39, 41, 83, 103, 166, 174, 177, 209, 234, 248, 270, 301, 432, 434, 435, 440, 462, 471, 474, 493, 494, 536, 538, 556, 560, 615, 620, 652] [13, 14, 15, 35, 40, 42, 84, 104, 167, 175, 178, 210, 235, 249, 271, 302, 433, 435, 436, 441, 463, 472, 475, 494, 495, 537, 539, 557, 561, 616, 621, 653] [14, 15, 16, 36, 41, 43, 85, 105, 168, 176, 179, 211, 236, 250, 272, 303, 434, 436, 437, 442, 464, 473, 476, 495, 496, 538, 540, 558, 562, 617, 622, 654] [15, 16, 17, 37, 42, 44, 86, 106, 169, 177, 180, 212, 237, 251, 273, 304, 435, 437, 438, 443, 465, 474, 477, 496, 497, 539, 541, 559, 563, 618, 623, 655] [16, 17, 18, 38, 43, 45, 87, 107, 170, 178, 181, 213, 238, 252, 274, 305, 436, 438, 439, 444, 466, 475, 478, 497, 498, 540, 542, 560, 564, 619, 624, 656] [17, 18, 19, 39, 44, 46, 88, 108, 171, 179, 182, 214, 239, 253, 275, 306, 437, 439, 440, 445, 467, 476, 479, 498, 499, 541, 543, 561, 565, 620, 625, 657] [18, 19, 20, 40, 45, 47, 89, 109, 172, 180, 183, 215, 240, 254, 276, 307, 438, 440, 441, 446, 468, 477, 480, 499, 500, 542, 544, 562, 566, 621, 626, 658] [19, 20, 21, 41, 46, 48, 90, 110, 173, 181, 184, 216, 241, 255, 277, 308, 439, 441, 442, 447, 469, 478, 481, 500, 501, 543, 545, 563, 567, 622, 627, 659] [20, 21, 22, 42, 47, 49, 91, 111, 174, 182, 185, 217, 242, 256, 278, 309, 440, 442, 443, 448, 470, 479, 482, 501, 502, 544, 546, 564, 568, 623, 628, 660] [21, 22, 23, 43, 48, 50, 92, 112, 175, 183, 186, 218, 243, 257, 279, 310, 441, 443, 444, 449, 471, 480, 483, 502, 503, 545, 547, 565, 569, 624, 629, 661] [22, 23, 24, 44, 49, 51, 93, 113, 176, 184, 187, 219, 244, 258, 280, 311, 442, 444, 445, 450, 472, 481, 484, 503, 504, 546, 548, 566, 570, 625, 630, 662] [23, 24, 25, 45, 50, 52, 94, 114, 177, 185, 188, 220, 245, 259, 281, 312, 443, 445, 446, 451, 473, 482, 485, 504, 505, 547, 549, 567, 571, 626, 631, 663] [24, 25, 26, 46, 51, 53, 95, 115, 178, 186, 189, 221, 246, 260, 282, 313, 444, 446, 447, 452, 474, 483, 486, 505, 506, 548, 550, 568, 572, 627, 632, 664] [25, 26, 27, 47, 52, 54, 96, 116, 179, 187, 190, 222, 247, 261, 283, 314, 445, 447, 448, 453, 475, 484, 487, 506, 507, 549, 551, 569, 573, 628, 633, 665] [26, 27, 28, 48, 53, 55, 97, 117, 180, 188, 191, 223, 248, 262, 284, 315, 446, 448, 449, 454, 476, 485, 488, 507, 508, 550, 552, 570, 574, 629, 634, 666] [27, 28, 29, 49, 54, 56, 98, 118, 181, 189, 192, 224, 249, 263, 285, 316, 447, 449, 450, 455, 477, 486, 489, 508, 509, 551, 553, 571, 575, 630, 635, 667] [28, 29, 30, 50, 55, 57, 99, 119, 182, 190, 193, 225, 250, 264, 286, 317, 448, 450, 451, 456, 478, 487, 490, 509, 510, 552, 554, 572, 576, 631, 636, 668] [29, 30, 31, 51, 56, 58, 100, 120, 183, 191, 194, 226, 251, 265, 287, 318, 449, 451, 452, 457, 479, 488, 491, 510, 511, 553, 555, 573, 577, 632, 637, 669] [30, 31, 32, 52, 57, 59, 101, 121, 184, 192, 195, 227, 252, 266, 288, 319, 450, 452, 453, 458, 480, 489, 492, 511, 512, 554, 556, 574, 578, 633, 638, 670] [31, 32, 33, 53, 58, 60, 102, 122, 185, 193, 196, 228, 253, 267, 289, 320, 451, 453, 454, 459, 481, 490, 493, 512, 513, 555, 557, 575, 579, 634, 639, 671] [32, 33, 34, 54, 59, 61, 103, 123, 186, 194, 197, 229, 254, 268, 290, 321, 452, 454, 455, 460, 482, 491, 494, 513, 514, 556, 558, 576, 580, 635, 640, 672] [33, 34, 35, 55, 60, 62, 104, 124, 187, 195, 198, 230, 255, 269, 291, 322, 453, 455, 456, 461, 483, 492, 495, 514, 515, 557, 559, 577, 581, 636, 641, 673] [34, 35, 36, 56, 61, 63, 105, 125, 188, 196, 199, 231, 256, 270, 292, 323, 454, 456, 457, 462, 484, 493, 496, 515, 516, 558, 560, 578, 582, 637, 642, 674] [35, 36, 37, 57, 62, 64, 106, 126, 189, 197, 200, 232, 257, 271, 293, 324, 455, 457, 458, 463, 485, 494, 497, 516, 517, 559, 561, 579, 583, 638, 643, 675] [36, 37, 38, 58, 63, 65, 107, 127, 190, 198, 201, 233, 258, 272, 294, 325, 456, 458, 459, 464, 486, 495, 498, 517, 518, 560, 562, 580, 584, 639, 644, 676] [37, 38, 39, 59, 64, 66, 108, 128, 191, 199, 202, 234, 259, 273, 295, 326, 457, 459, 460, 465, 487, 496, 499, 518, 519, 561, 563, 581, 585, 640, 645, 677] [38, 39, 40, 60, 65, 67, 109, 129, 192, 200, 203, 235, 260, 274, 296, 327, 458, 460, 461, 466, 488, 497, 500, 519, 520, 562, 564, 582, 586, 641, 646, 678] [39, 40, 41, 61, 66, 68, 110, 130, 193, 201, 204, 236, 261, 275, 297, 328, 459, 461, 462, 467, 489, 498, 501, 520, 521, 563, 565, 583, 587, 642, 647, 679] [40, 41, 42, 62, 67, 69, 111, 131, 194, 202, 205, 237, 262, 276, 298, 329, 460, 462, 463, 468, 490, 499, 502, 521, 522, 564, 566, 584, 588, 643, 648, 680] [41, 42, 43, 63, 68, 70, 112, 132, 195, 203, 206, 238, 263, 277, 299, 330, 461, 463, 464, 469, 491, 500, 503, 522, 523, 565, 567, 585, 589, 644, 649, 681] [42, 43, 44, 64, 69, 71, 113, 133, 196, 204, 207, 239, 264, 278, 300, 331, 341, 462, 464, 465, 470, 492, 501, 504, 523, 524, 566, 568, 586, 590, 645, 650] [43, 44, 45, 65, 70, 72, 114, 134, 197, 205, 208, 240, 265, 279, 301, 332, 342, 463, 465, 466, 471, 493, 502, 505, 524, 525, 567, 569, 587, 591, 646, 651] [44, 45, 46, 66, 71, 73, 115, 135, 198, 206, 209, 241, 266, 280, 302, 333, 343, 464, 466, 467, 472, 494, 503, 506, 525, 526, 568, 570, 588, 592, 647, 652] [45, 46, 47, 67, 72, 74, 116, 136, 199, 207, 210, 242, 267, 281, 303, 334, 344, 465, 467, 468, 473, 495, 504, 507, 526, 527, 569, 571, 589, 593, 648, 653] [46, 47, 48, 68, 73, 75, 117, 137, 200, 208, 211, 243, 268, 282, 304, 335, 345, 466, 468, 469, 474, 496, 505, 508, 527, 528, 570, 572, 590, 594, 649, 654] [47, 48, 49, 69, 74, 76, 118, 138, 201, 209, 212, 244, 269, 283, 305, 336, 346, 467, 469, 470, 475, 497, 506, 509, 528, 529, 571, 573, 591, 595, 650, 655] [48, 49, 50, 70, 75, 77, 119, 139, 202, 210, 213, 245, 270, 284, 306, 337, 347, 468, 470, 471, 476, 498, 507, 510, 529, 530, 572, 574, 592, 596, 651, 656] [49, 50, 51, 71, 76, 78, 120, 140, 203, 211, 214, 246, 271, 285, 307, 338, 348, 469, 471, 472, 477, 499, 508, 511, 530, 531, 573, 575, 593, 597, 652, 657] [50, 51, 52, 72, 77, 79, 121, 141, 204, 212, 215, 247, 272, 286, 308, 339, 349, 470, 472, 473, 478, 500, 509, 512, 531, 532, 574, 576, 594, 598, 653, 658] [51, 52, 53, 73, 78, 80, 122, 142, 205, 213, 216, 248, 273, 287, 309, 340, 350, 471, 473, 474, 479, 501, 510, 513, 532, 533, 575, 577, 595, 599, 654, 659] [0, 52, 53, 54, 74, 79, 81, 123, 143, 206, 214, 217, 249, 274, 288, 310, 351, 472, 474, 475, 480, 502, 511, 514, 533, 534, 576, 578, 596, 600, 655, 660] [1, 53, 54, 55, 75, 80, 82, 124, 144, 207, 215, 218, 250, 275, 289, 311, 352, 473, 475, 476, 481, 503, 512, 515, 534, 535, 577, 579, 597, 601, 656, 661] [2, 54, 55, 56, 76, 81, 83, 125, 145, 208, 216, 219, 251, 276, 290, 312, 353, 474, 476, 477, 482, 504, 513, 516, 535, 536, 578, 580, 598, 602, 657, 662] [3, 55, 56, 57, 77, 82, 84, 126, 146, 209, 217, 220, 252, 277, 291, 313, 354, 475, 477, 478, 483, 505, 514, 517, 536, 537, 579, 581, 599, 603, 658, 663] [4, 56, 57, 58, 78, 83, 85, 127, 147, 210, 218, 221, 253, 278, 292, 314, 355, 476, 478, 479, 484, 506, 515, 518, 537, 538, 580, 582, 600, 604, 659, 664] [5, 57, 58, 59, 79, 84, 86, 128, 148, 211, 219, 222, 254, 279, 293, 315, 356, 477, 479, 480, 485, 507, 516, 519, 538, 539, 581, 583, 601, 605, 660, 665] [6, 58, 59, 60, 80, 85, 87, 129, 149, 212, 220, 223, 255, 280, 294, 316, 357, 478, 480, 481, 486, 508, 517, 520, 539, 540, 582, 584, 602, 606, 661, 666] [7, 59, 60, 61, 81, 86, 88, 130, 150, 213, 221, 224, 256, 281, 295, 317, 358, 479, 481, 482, 487, 509, 518, 521, 540, 541, 583, 585, 603, 607, 662, 667] [8, 60, 61, 62, 82, 87, 89, 131, 151, 214, 222, 225, 257, 282, 296, 318, 359, 480, 482, 483, 488, 510, 519, 522, 541, 542, 584, 586, 604, 608, 663, 668] [9, 61, 62, 63, 83, 88, 90, 132, 152, 215, 223, 226, 258, 283, 297, 319, 360, 481, 483, 484, 489, 511, 520, 523, 542, 543, 585, 587, 605, 609, 664, 669] [10, 62, 63, 64, 84, 89, 91, 133, 153, 216, 224, 227, 259, 284, 298, 320, 361, 482, 484, 485, 490, 512, 521, 524, 543, 544, 586, 588, 606, 610, 665, 670] [11, 63, 64, 65, 85, 90, 92, 134, 154, 217, 225, 228, 260, 285, 299, 321, 362, 483, 485, 486, 491, 513, 522, 525, 544, 545, 587, 589, 607, 611, 666, 671] [12, 64, 65, 66, 86, 91, 93, 135, 155, 218, 226, 229, 261, 286, 300, 322, 363, 484, 486, 487, 492, 514, 523, 526, 545, 546, 588, 590, 608, 612, 667, 672] [13, 65, 66, 67, 87, 92, 94, 136, 156, 219, 227, 230, 262, 287, 301, 323, 364, 485, 487, 488, 493, 515, 524, 527, 546, 547, 589, 591, 609, 613, 668, 673] [14, 66, 67, 68, 88, 93, 95, 137, 157, 220, 228, 231, 263, 288, 302, 324, 365, 486, 488, 489, 494, 516, 525, 528, 547, 548, 590, 592, 610, 614, 669, 674] [15, 67, 68, 69, 89, 94, 96, 138, 158, 221, 229, 232, 264, 289, 303, 325, 366, 487, 489, 490, 495, 517, 526, 529, 548, 549, 591, 593, 611, 615, 670, 675] [16, 68, 69, 70, 90, 95, 97, 139, 159, 222, 230, 233, 265, 290, 304, 326, 367, 488, 490, 491, 496, 518, 527, 530, 549, 550, 592, 594, 612, 616, 671, 676] [17, 69, 70, 71, 91, 96, 98, 140, 160, 223, 231, 234, 266, 291, 305, 327, 368, 489, 491, 492, 497, 519, 528, 531, 550, 551, 593, 595, 613, 617, 672, 677] [18, 70, 71, 72, 92, 97, 99, 141, 161, 224, 232, 235, 267, 292, 306, 328, 369, 490, 492, 493, 498, 520, 529, 532, 551, 552, 594, 596, 614, 618, 673, 678] [19, 71, 72, 73, 93, 98, 100, 142, 162, 225, 233, 236, 268, 293, 307, 329, 370, 491, 493, 494, 499, 521, 530, 533, 552, 553, 595, 597, 615, 619, 674, 679] [20, 72, 73, 74, 94, 99, 101, 143, 163, 226, 234, 237, 269, 294, 308, 330, 371, 492, 494, 495, 500, 522, 531, 534, 553, 554, 596, 598, 616, 620, 675, 680] [21, 73, 74, 75, 95, 100, 102, 144, 164, 227, 235, 238, 270, 295, 309, 331, 372, 493, 495, 496, 501, 523, 532, 535, 554, 555, 597, 599, 617, 621, 676, 681] [22, 74, 75, 76, 96, 101, 103, 145, 165, 228, 236, 239, 271, 296, 310, 332, 341, 373, 494, 496, 497, 502, 524, 533, 536, 555, 556, 598, 600, 618, 622, 677] [23, 75, 76, 77, 97, 102, 104, 146, 166, 229, 237, 240, 272, 297, 311, 333, 342, 374, 495, 497, 498, 503, 525, 534, 537, 556, 557, 599, 601, 619, 623, 678] [24, 76, 77, 78, 98, 103, 105, 147, 167, 230, 238, 241, 273, 298, 312, 334, 343, 375, 496, 498, 499, 504, 526, 535, 538, 557, 558, 600, 602, 620, 624, 679] [25, 77, 78, 79, 99, 104, 106, 148, 168, 231, 239, 242, 274, 299, 313, 335, 344, 376, 497, 499, 500, 505, 527, 536, 539, 558, 559, 601, 603, 621, 625, 680] [26, 78, 79, 80, 100, 105, 107, 149, 169, 232, 240, 243, 275, 300, 314, 336, 345, 377, 498, 500, 501, 506, 528, 537, 540, 559, 560, 602, 604, 622, 626, 681] [27, 79, 80, 81, 101, 106, 108, 150, 170, 233, 241, 244, 276, 301, 315, 337, 341, 346, 378, 499, 501, 502, 507, 529, 538, 541, 560, 561, 603, 605, 623, 627] [28, 80, 81, 82, 102, 107, 109, 151, 171, 234, 242, 245, 277, 302, 316, 338, 342, 347, 379, 500, 502, 503, 508, 530, 539, 542, 561, 562, 604, 606, 624, 628] [29, 81, 82, 83, 103, 108, 110, 152, 172, 235, 243, 246, 278, 303, 317, 339, 343, 348, 380, 501, 503, 504, 509, 531, 540, 543, 562, 563, 605, 607, 625, 629] [30, 82, 83, 84, 104, 109, 111, 153, 173, 236, 244, 247, 279, 304, 318, 340, 344, 349, 381, 502, 504, 505, 510, 532, 541, 544, 563, 564, 606, 608, 626, 630] [0, 31, 83, 84, 85, 105, 110, 112, 154, 174, 237, 245, 248, 280, 305, 319, 345, 350, 382, 503, 505, 506, 511, 533, 542, 545, 564, 565, 607, 609, 627, 631] [1, 32, 84, 85, 86, 106, 111, 113, 155, 175, 238, 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171, 193, 224, 276, 277, 278, 298, 303, 305, 355, 357, 358, 363, 385, 394, 397, 416, 417, 459, 461, 479, 483, 538, 543, 575] [7, 27, 90, 98, 101, 133, 158, 172, 194, 225, 277, 278, 279, 299, 304, 306, 356, 358, 359, 364, 386, 395, 398, 417, 418, 460, 462, 480, 484, 539, 544, 576] [8, 28, 91, 99, 102, 134, 159, 173, 195, 226, 278, 279, 280, 300, 305, 307, 357, 359, 360, 365, 387, 396, 399, 418, 419, 461, 463, 481, 485, 540, 545, 577] [9, 29, 92, 100, 103, 135, 160, 174, 196, 227, 279, 280, 281, 301, 306, 308, 358, 360, 361, 366, 388, 397, 400, 419, 420, 462, 464, 482, 486, 541, 546, 578] [10, 30, 93, 101, 104, 136, 161, 175, 197, 228, 280, 281, 282, 302, 307, 309, 359, 361, 362, 367, 389, 398, 401, 420, 421, 463, 465, 483, 487, 542, 547, 579] [11, 31, 94, 102, 105, 137, 162, 176, 198, 229, 281, 282, 283, 303, 308, 310, 360, 362, 363, 368, 390, 399, 402, 421, 422, 464, 466, 484, 488, 543, 548, 580] [12, 32, 95, 103, 106, 138, 163, 177, 199, 230, 282, 283, 284, 304, 309, 311, 361, 363, 364, 369, 391, 400, 403, 422, 423, 465, 467, 485, 489, 544, 549, 581] [13, 33, 96, 104, 107, 139, 164, 178, 200, 231, 283, 284, 285, 305, 310, 312, 362, 364, 365, 370, 392, 401, 404, 423, 424, 466, 468, 486, 490, 545, 550, 582] [14, 34, 97, 105, 108, 140, 165, 179, 201, 232, 284, 285, 286, 306, 311, 313, 363, 365, 366, 371, 393, 402, 405, 424, 425, 467, 469, 487, 491, 546, 551, 583] [15, 35, 98, 106, 109, 141, 166, 180, 202, 233, 285, 286, 287, 307, 312, 314, 364, 366, 367, 372, 394, 403, 406, 425, 426, 468, 470, 488, 492, 547, 552, 584] [16, 36, 99, 107, 110, 142, 167, 181, 203, 234, 286, 287, 288, 308, 313, 315, 365, 367, 368, 373, 395, 404, 407, 426, 427, 469, 471, 489, 493, 548, 553, 585] [17, 37, 100, 108, 111, 143, 168, 182, 204, 235, 287, 288, 289, 309, 314, 316, 366, 368, 369, 374, 396, 405, 408, 427, 428, 470, 472, 490, 494, 549, 554, 586] [18, 38, 101, 109, 112, 144, 169, 183, 205, 236, 288, 289, 290, 310, 315, 317, 367, 369, 370, 375, 397, 406, 409, 428, 429, 471, 473, 491, 495, 550, 555, 587] [19, 39, 102, 110, 113, 145, 170, 184, 206, 237, 289, 290, 291, 311, 316, 318, 368, 370, 371, 376, 398, 407, 410, 429, 430, 472, 474, 492, 496, 551, 556, 588] [20, 40, 103, 111, 114, 146, 171, 185, 207, 238, 290, 291, 292, 312, 317, 319, 369, 371, 372, 377, 399, 408, 411, 430, 431, 473, 475, 493, 497, 552, 557, 589] [21, 41, 104, 112, 115, 147, 172, 186, 208, 239, 291, 292, 293, 313, 318, 320, 370, 372, 373, 378, 400, 409, 412, 431, 432, 474, 476, 494, 498, 553, 558, 590] [22, 42, 105, 113, 116, 148, 173, 187, 209, 240, 292, 293, 294, 314, 319, 321, 371, 373, 374, 379, 401, 410, 413, 432, 433, 475, 477, 495, 499, 554, 559, 591] [23, 43, 106, 114, 117, 149, 174, 188, 210, 241, 293, 294, 295, 315, 320, 322, 372, 374, 375, 380, 402, 411, 414, 433, 434, 476, 478, 496, 500, 555, 560, 592] [24, 44, 107, 115, 118, 150, 175, 189, 211, 242, 294, 295, 296, 316, 321, 323, 373, 375, 376, 381, 403, 412, 415, 434, 435, 477, 479, 497, 501, 556, 561, 593] [25, 45, 108, 116, 119, 151, 176, 190, 212, 243, 295, 296, 297, 317, 322, 324, 374, 376, 377, 382, 404, 413, 416, 435, 436, 478, 480, 498, 502, 557, 562, 594] [26, 46, 109, 117, 120, 152, 177, 191, 213, 244, 296, 297, 298, 318, 323, 325, 375, 377, 378, 383, 405, 414, 417, 436, 437, 479, 481, 499, 503, 558, 563, 595] [27, 47, 110, 118, 121, 153, 178, 192, 214, 245, 297, 298, 299, 319, 324, 326, 376, 378, 379, 384, 406, 415, 418, 437, 438, 480, 482, 500, 504, 559, 564, 596] [28, 48, 111, 119, 122, 154, 179, 193, 215, 246, 298, 299, 300, 320, 325, 327, 377, 379, 380, 385, 407, 416, 419, 438, 439, 481, 483, 501, 505, 560, 565, 597] [29, 49, 112, 120, 123, 155, 180, 194, 216, 247, 299, 300, 301, 321, 326, 328, 378, 380, 381, 386, 408, 417, 420, 439, 440, 482, 484, 502, 506, 561, 566, 598] [30, 50, 113, 121, 124, 156, 181, 195, 217, 248, 300, 301, 302, 322, 327, 329, 379, 381, 382, 387, 409, 418, 421, 440, 441, 483, 485, 503, 507, 562, 567, 599] [31, 51, 114, 122, 125, 157, 182, 196, 218, 249, 301, 302, 303, 323, 328, 330, 380, 382, 383, 388, 410, 419, 422, 441, 442, 484, 486, 504, 508, 563, 568, 600] [32, 52, 115, 123, 126, 158, 183, 197, 219, 250, 302, 303, 304, 324, 329, 331, 381, 383, 384, 389, 411, 420, 423, 442, 443, 485, 487, 505, 509, 564, 569, 601] [33, 53, 116, 124, 127, 159, 184, 198, 220, 251, 303, 304, 305, 325, 330, 332, 382, 384, 385, 390, 412, 421, 424, 443, 444, 486, 488, 506, 510, 565, 570, 602] [34, 54, 117, 125, 128, 160, 185, 199, 221, 252, 304, 305, 306, 326, 331, 333, 383, 385, 386, 391, 413, 422, 425, 444, 445, 487, 489, 507, 511, 566, 571, 603] [35, 55, 118, 126, 129, 161, 186, 200, 222, 253, 305, 306, 307, 327, 332, 334, 384, 386, 387, 392, 414, 423, 426, 445, 446, 488, 490, 508, 512, 567, 572, 604] [36, 56, 119, 127, 130, 162, 187, 201, 223, 254, 306, 307, 308, 328, 333, 335, 385, 387, 388, 393, 415, 424, 427, 446, 447, 489, 491, 509, 513, 568, 573, 605] [37, 57, 120, 128, 131, 163, 188, 202, 224, 255, 307, 308, 309, 329, 334, 336, 386, 388, 389, 394, 416, 425, 428, 447, 448, 490, 492, 510, 514, 569, 574, 606] [38, 58, 121, 129, 132, 164, 189, 203, 225, 256, 308, 309, 310, 330, 335, 337, 387, 389, 390, 395, 417, 426, 429, 448, 449, 491, 493, 511, 515, 570, 575, 607] [39, 59, 122, 130, 133, 165, 190, 204, 226, 257, 309, 310, 311, 331, 336, 338, 388, 390, 391, 396, 418, 427, 430, 449, 450, 492, 494, 512, 516, 571, 576, 608] [40, 60, 123, 131, 134, 166, 191, 205, 227, 258, 310, 311, 312, 332, 337, 339, 389, 391, 392, 397, 419, 428, 431, 450, 451, 493, 495, 513, 517, 572, 577, 609] [41, 61, 124, 132, 135, 167, 192, 206, 228, 259, 311, 312, 313, 333, 338, 340, 390, 392, 393, 398, 420, 429, 432, 451, 452, 494, 496, 514, 518, 573, 578, 610] [0, 42, 62, 125, 133, 136, 168, 193, 207, 229, 260, 312, 313, 314, 334, 339, 391, 393, 394, 399, 421, 430, 433, 452, 453, 495, 497, 515, 519, 574, 579, 611] [1, 43, 63, 126, 134, 137, 169, 194, 208, 230, 261, 313, 314, 315, 335, 340, 392, 394, 395, 400, 422, 431, 434, 453, 454, 496, 498, 516, 520, 575, 580, 612] [0, 2, 44, 64, 127, 135, 138, 170, 195, 209, 231, 262, 314, 315, 316, 336, 393, 395, 396, 401, 423, 432, 435, 454, 455, 497, 499, 517, 521, 576, 581, 613] [1, 3, 45, 65, 128, 136, 139, 171, 196, 210, 232, 263, 315, 316, 317, 337, 394, 396, 397, 402, 424, 433, 436, 455, 456, 498, 500, 518, 522, 577, 582, 614] [2, 4, 46, 66, 129, 137, 140, 172, 197, 211, 233, 264, 316, 317, 318, 338, 395, 397, 398, 403, 425, 434, 437, 456, 457, 499, 501, 519, 523, 578, 583, 615] [3, 5, 47, 67, 130, 138, 141, 173, 198, 212, 234, 265, 317, 318, 319, 339, 396, 398, 399, 404, 426, 435, 438, 457, 458, 500, 502, 520, 524, 579, 584, 616] [4, 6, 48, 68, 131, 139, 142, 174, 199, 213, 235, 266, 318, 319, 320, 340, 397, 399, 400, 405, 427, 436, 439, 458, 459, 501, 503, 521, 525, 580, 585, 617] [0, 5, 7, 49, 69, 132, 140, 143, 175, 200, 214, 236, 267, 319, 320, 321, 398, 400, 401, 406, 428, 437, 440, 459, 460, 502, 504, 522, 526, 581, 586, 618] [1, 6, 8, 50, 70, 133, 141, 144, 176, 201, 215, 237, 268, 320, 321, 322, 399, 401, 402, 407, 429, 438, 441, 460, 461, 503, 505, 523, 527, 582, 587, 619] [2, 7, 9, 51, 71, 134, 142, 145, 177, 202, 216, 238, 269, 321, 322, 323, 400, 402, 403, 408, 430, 439, 442, 461, 462, 504, 506, 524, 528, 583, 588, 620] [3, 8, 10, 52, 72, 135, 143, 146, 178, 203, 217, 239, 270, 322, 323, 324, 401, 403, 404, 409, 431, 440, 443, 462, 463, 505, 507, 525, 529, 584, 589, 621] [4, 9, 11, 53, 73, 136, 144, 147, 179, 204, 218, 240, 271, 323, 324, 325, 402, 404, 405, 410, 432, 441, 444, 463, 464, 506, 508, 526, 530, 585, 590, 622] [5, 10, 12, 54, 74, 137, 145, 148, 180, 205, 219, 241, 272, 324, 325, 326, 403, 405, 406, 411, 433, 442, 445, 464, 465, 507, 509, 527, 531, 586, 591, 623] [6, 11, 13, 55, 75, 138, 146, 149, 181, 206, 220, 242, 273, 325, 326, 327, 404, 406, 407, 412, 434, 443, 446, 465, 466, 508, 510, 528, 532, 587, 592, 624] [7, 12, 14, 56, 76, 139, 147, 150, 182, 207, 221, 243, 274, 326, 327, 328, 405, 407, 408, 413, 435, 444, 447, 466, 467, 509, 511, 529, 533, 588, 593, 625] [8, 13, 15, 57, 77, 140, 148, 151, 183, 208, 222, 244, 275, 327, 328, 329, 406, 408, 409, 414, 436, 445, 448, 467, 468, 510, 512, 530, 534, 589, 594, 626] [9, 14, 16, 58, 78, 141, 149, 152, 184, 209, 223, 245, 276, 328, 329, 330, 407, 409, 410, 415, 437, 446, 449, 468, 469, 511, 513, 531, 535, 590, 595, 627] [10, 15, 17, 59, 79, 142, 150, 153, 185, 210, 224, 246, 277, 329, 330, 331, 408, 410, 411, 416, 438, 447, 450, 469, 470, 512, 514, 532, 536, 591, 596, 628] [11, 16, 18, 60, 80, 143, 151, 154, 186, 211, 225, 247, 278, 330, 331, 332, 409, 411, 412, 417, 439, 448, 451, 470, 471, 513, 515, 533, 537, 592, 597, 629] [12, 17, 19, 61, 81, 144, 152, 155, 187, 212, 226, 248, 279, 331, 332, 333, 410, 412, 413, 418, 440, 449, 452, 471, 472, 514, 516, 534, 538, 593, 598, 630] [13, 18, 20, 62, 82, 145, 153, 156, 188, 213, 227, 249, 280, 332, 333, 334, 411, 413, 414, 419, 441, 450, 453, 472, 473, 515, 517, 535, 539, 594, 599, 631] [14, 19, 21, 63, 83, 146, 154, 157, 189, 214, 228, 250, 281, 333, 334, 335, 412, 414, 415, 420, 442, 451, 454, 473, 474, 516, 518, 536, 540, 595, 600, 632] [15, 20, 22, 64, 84, 147, 155, 158, 190, 215, 229, 251, 282, 334, 335, 336, 413, 415, 416, 421, 443, 452, 455, 474, 475, 517, 519, 537, 541, 596, 601, 633] [16, 21, 23, 65, 85, 148, 156, 159, 191, 216, 230, 252, 283, 335, 336, 337, 414, 416, 417, 422, 444, 453, 456, 475, 476, 518, 520, 538, 542, 597, 602, 634] [17, 22, 24, 66, 86, 149, 157, 160, 192, 217, 231, 253, 284, 336, 337, 338, 415, 417, 418, 423, 445, 454, 457, 476, 477, 519, 521, 539, 543, 598, 603, 635] [18, 23, 25, 67, 87, 150, 158, 161, 193, 218, 232, 254, 285, 337, 338, 339, 416, 418, 419, 424, 446, 455, 458, 477, 478, 520, 522, 540, 544, 599, 604, 636] [19, 24, 26, 68, 88, 151, 159, 162, 194, 219, 233, 255, 286, 338, 339, 340, 417, 419, 420, 425, 447, 456, 459, 478, 479, 521, 523, 541, 545, 600, 605, 637] [0, 20, 25, 27, 69, 89, 152, 160, 163, 195, 220, 234, 256, 287, 339, 340, 418, 420, 421, 426, 448, 457, 460, 479, 480, 522, 524, 542, 546, 601, 606, 638] [0, 1, 21, 26, 28, 70, 90, 153, 161, 164, 196, 221, 235, 257, 288, 340, 419, 421, 422, 427, 449, 458, 461, 480, 481, 523, 525, 543, 547, 602, 607, 639]

H_Z (341 checks, sparse supports)

[42, 74, 79, 134, 138, 156, 158, 200, 201, 220, 223, 232, 254, 259, 260, 262, 341, 393, 424, 446, 460, 485, 517, 520, 528, 591, 611, 653, 655, 660, 680, 681] [43, 75, 80, 135, 139, 157, 159, 201, 202, 221, 224, 233, 255, 260, 261, 263, 341, 342, 394, 425, 447, 461, 486, 518, 521, 529, 592, 612, 654, 656, 661, 681] [44, 76, 81, 136, 140, 158, 160, 202, 203, 222, 225, 234, 256, 261, 262, 264, 341, 342, 343, 395, 426, 448, 462, 487, 519, 522, 530, 593, 613, 655, 657, 662] [45, 77, 82, 137, 141, 159, 161, 203, 204, 223, 226, 235, 257, 262, 263, 265, 342, 343, 344, 396, 427, 449, 463, 488, 520, 523, 531, 594, 614, 656, 658, 663] [46, 78, 83, 138, 142, 160, 162, 204, 205, 224, 227, 236, 258, 263, 264, 266, 343, 344, 345, 397, 428, 450, 464, 489, 521, 524, 532, 595, 615, 657, 659, 664] [47, 79, 84, 139, 143, 161, 163, 205, 206, 225, 228, 237, 259, 264, 265, 267, 344, 345, 346, 398, 429, 451, 465, 490, 522, 525, 533, 596, 616, 658, 660, 665] [48, 80, 85, 140, 144, 162, 164, 206, 207, 226, 229, 238, 260, 265, 266, 268, 345, 346, 347, 399, 430, 452, 466, 491, 523, 526, 534, 597, 617, 659, 661, 666] [49, 81, 86, 141, 145, 163, 165, 207, 208, 227, 230, 239, 261, 266, 267, 269, 346, 347, 348, 400, 431, 453, 467, 492, 524, 527, 535, 598, 618, 660, 662, 667] [50, 82, 87, 142, 146, 164, 166, 208, 209, 228, 231, 240, 262, 267, 268, 270, 347, 348, 349, 401, 432, 454, 468, 493, 525, 528, 536, 599, 619, 661, 663, 668] [51, 83, 88, 143, 147, 165, 167, 209, 210, 229, 232, 241, 263, 268, 269, 271, 348, 349, 350, 402, 433, 455, 469, 494, 526, 529, 537, 600, 620, 662, 664, 669] [52, 84, 89, 144, 148, 166, 168, 210, 211, 230, 233, 242, 264, 269, 270, 272, 349, 350, 351, 403, 434, 456, 470, 495, 527, 530, 538, 601, 621, 663, 665, 670] [53, 85, 90, 145, 149, 167, 169, 211, 212, 231, 234, 243, 265, 270, 271, 273, 350, 351, 352, 404, 435, 457, 471, 496, 528, 531, 539, 602, 622, 664, 666, 671] [54, 86, 91, 146, 150, 168, 170, 212, 213, 232, 235, 244, 266, 271, 272, 274, 351, 352, 353, 405, 436, 458, 472, 497, 529, 532, 540, 603, 623, 665, 667, 672] [55, 87, 92, 147, 151, 169, 171, 213, 214, 233, 236, 245, 267, 272, 273, 275, 352, 353, 354, 406, 437, 459, 473, 498, 530, 533, 541, 604, 624, 666, 668, 673] [56, 88, 93, 148, 152, 170, 172, 214, 215, 234, 237, 246, 268, 273, 274, 276, 353, 354, 355, 407, 438, 460, 474, 499, 531, 534, 542, 605, 625, 667, 669, 674] [57, 89, 94, 149, 153, 171, 173, 215, 216, 235, 238, 247, 269, 274, 275, 277, 354, 355, 356, 408, 439, 461, 475, 500, 532, 535, 543, 606, 626, 668, 670, 675] [58, 90, 95, 150, 154, 172, 174, 216, 217, 236, 239, 248, 270, 275, 276, 278, 355, 356, 357, 409, 440, 462, 476, 501, 533, 536, 544, 607, 627, 669, 671, 676] [59, 91, 96, 151, 155, 173, 175, 217, 218, 237, 240, 249, 271, 276, 277, 279, 356, 357, 358, 410, 441, 463, 477, 502, 534, 537, 545, 608, 628, 670, 672, 677] [60, 92, 97, 152, 156, 174, 176, 218, 219, 238, 241, 250, 272, 277, 278, 280, 357, 358, 359, 411, 442, 464, 478, 503, 535, 538, 546, 609, 629, 671, 673, 678] [61, 93, 98, 153, 157, 175, 177, 219, 220, 239, 242, 251, 273, 278, 279, 281, 358, 359, 360, 412, 443, 465, 479, 504, 536, 539, 547, 610, 630, 672, 674, 679] [62, 94, 99, 154, 158, 176, 178, 220, 221, 240, 243, 252, 274, 279, 280, 282, 359, 360, 361, 413, 444, 466, 480, 505, 537, 540, 548, 611, 631, 673, 675, 680] [63, 95, 100, 155, 159, 177, 179, 221, 222, 241, 244, 253, 275, 280, 281, 283, 360, 361, 362, 414, 445, 467, 481, 506, 538, 541, 549, 612, 632, 674, 676, 681] [64, 96, 101, 156, 160, 178, 180, 222, 223, 242, 245, 254, 276, 281, 282, 284, 341, 361, 362, 363, 415, 446, 468, 482, 507, 539, 542, 550, 613, 633, 675, 677] [65, 97, 102, 157, 161, 179, 181, 223, 224, 243, 246, 255, 277, 282, 283, 285, 342, 362, 363, 364, 416, 447, 469, 483, 508, 540, 543, 551, 614, 634, 676, 678] [66, 98, 103, 158, 162, 180, 182, 224, 225, 244, 247, 256, 278, 283, 284, 286, 343, 363, 364, 365, 417, 448, 470, 484, 509, 541, 544, 552, 615, 635, 677, 679] [67, 99, 104, 159, 163, 181, 183, 225, 226, 245, 248, 257, 279, 284, 285, 287, 344, 364, 365, 366, 418, 449, 471, 485, 510, 542, 545, 553, 616, 636, 678, 680] [68, 100, 105, 160, 164, 182, 184, 226, 227, 246, 249, 258, 280, 285, 286, 288, 345, 365, 366, 367, 419, 450, 472, 486, 511, 543, 546, 554, 617, 637, 679, 681] [69, 101, 106, 161, 165, 183, 185, 227, 228, 247, 250, 259, 281, 286, 287, 289, 341, 346, 366, 367, 368, 420, 451, 473, 487, 512, 544, 547, 555, 618, 638, 680] [70, 102, 107, 162, 166, 184, 186, 228, 229, 248, 251, 260, 282, 287, 288, 290, 342, 347, 367, 368, 369, 421, 452, 474, 488, 513, 545, 548, 556, 619, 639, 681] [71, 103, 108, 163, 167, 185, 187, 229, 230, 249, 252, 261, 283, 288, 289, 291, 341, 343, 348, 368, 369, 370, 422, 453, 475, 489, 514, 546, 549, 557, 620, 640] [72, 104, 109, 164, 168, 186, 188, 230, 231, 250, 253, 262, 284, 289, 290, 292, 342, 344, 349, 369, 370, 371, 423, 454, 476, 490, 515, 547, 550, 558, 621, 641] [73, 105, 110, 165, 169, 187, 189, 231, 232, 251, 254, 263, 285, 290, 291, 293, 343, 345, 350, 370, 371, 372, 424, 455, 477, 491, 516, 548, 551, 559, 622, 642] [74, 106, 111, 166, 170, 188, 190, 232, 233, 252, 255, 264, 286, 291, 292, 294, 344, 346, 351, 371, 372, 373, 425, 456, 478, 492, 517, 549, 552, 560, 623, 643] [75, 107, 112, 167, 171, 189, 191, 233, 234, 253, 256, 265, 287, 292, 293, 295, 345, 347, 352, 372, 373, 374, 426, 457, 479, 493, 518, 550, 553, 561, 624, 644] [76, 108, 113, 168, 172, 190, 192, 234, 235, 254, 257, 266, 288, 293, 294, 296, 346, 348, 353, 373, 374, 375, 427, 458, 480, 494, 519, 551, 554, 562, 625, 645] [77, 109, 114, 169, 173, 191, 193, 235, 236, 255, 258, 267, 289, 294, 295, 297, 347, 349, 354, 374, 375, 376, 428, 459, 481, 495, 520, 552, 555, 563, 626, 646] [78, 110, 115, 170, 174, 192, 194, 236, 237, 256, 259, 268, 290, 295, 296, 298, 348, 350, 355, 375, 376, 377, 429, 460, 482, 496, 521, 553, 556, 564, 627, 647] [79, 111, 116, 171, 175, 193, 195, 237, 238, 257, 260, 269, 291, 296, 297, 299, 349, 351, 356, 376, 377, 378, 430, 461, 483, 497, 522, 554, 557, 565, 628, 648] [80, 112, 117, 172, 176, 194, 196, 238, 239, 258, 261, 270, 292, 297, 298, 300, 350, 352, 357, 377, 378, 379, 431, 462, 484, 498, 523, 555, 558, 566, 629, 649] [81, 113, 118, 173, 177, 195, 197, 239, 240, 259, 262, 271, 293, 298, 299, 301, 351, 353, 358, 378, 379, 380, 432, 463, 485, 499, 524, 556, 559, 567, 630, 650] [82, 114, 119, 174, 178, 196, 198, 240, 241, 260, 263, 272, 294, 299, 300, 302, 352, 354, 359, 379, 380, 381, 433, 464, 486, 500, 525, 557, 560, 568, 631, 651] [83, 115, 120, 175, 179, 197, 199, 241, 242, 261, 264, 273, 295, 300, 301, 303, 353, 355, 360, 380, 381, 382, 434, 465, 487, 501, 526, 558, 561, 569, 632, 652] [84, 116, 121, 176, 180, 198, 200, 242, 243, 262, 265, 274, 296, 301, 302, 304, 354, 356, 361, 381, 382, 383, 435, 466, 488, 502, 527, 559, 562, 570, 633, 653] [85, 117, 122, 177, 181, 199, 201, 243, 244, 263, 266, 275, 297, 302, 303, 305, 355, 357, 362, 382, 383, 384, 436, 467, 489, 503, 528, 560, 563, 571, 634, 654] [86, 118, 123, 178, 182, 200, 202, 244, 245, 264, 267, 276, 298, 303, 304, 306, 356, 358, 363, 383, 384, 385, 437, 468, 490, 504, 529, 561, 564, 572, 635, 655] [87, 119, 124, 179, 183, 201, 203, 245, 246, 265, 268, 277, 299, 304, 305, 307, 357, 359, 364, 384, 385, 386, 438, 469, 491, 505, 530, 562, 565, 573, 636, 656] [88, 120, 125, 180, 184, 202, 204, 246, 247, 266, 269, 278, 300, 305, 306, 308, 358, 360, 365, 385, 386, 387, 439, 470, 492, 506, 531, 563, 566, 574, 637, 657] [89, 121, 126, 181, 185, 203, 205, 247, 248, 267, 270, 279, 301, 306, 307, 309, 359, 361, 366, 386, 387, 388, 440, 471, 493, 507, 532, 564, 567, 575, 638, 658] [90, 122, 127, 182, 186, 204, 206, 248, 249, 268, 271, 280, 302, 307, 308, 310, 360, 362, 367, 387, 388, 389, 441, 472, 494, 508, 533, 565, 568, 576, 639, 659] [91, 123, 128, 183, 187, 205, 207, 249, 250, 269, 272, 281, 303, 308, 309, 311, 361, 363, 368, 388, 389, 390, 442, 473, 495, 509, 534, 566, 569, 577, 640, 660] [92, 124, 129, 184, 188, 206, 208, 250, 251, 270, 273, 282, 304, 309, 310, 312, 362, 364, 369, 389, 390, 391, 443, 474, 496, 510, 535, 567, 570, 578, 641, 661] [93, 125, 130, 185, 189, 207, 209, 251, 252, 271, 274, 283, 305, 310, 311, 313, 363, 365, 370, 390, 391, 392, 444, 475, 497, 511, 536, 568, 571, 579, 642, 662] [94, 126, 131, 186, 190, 208, 210, 252, 253, 272, 275, 284, 306, 311, 312, 314, 364, 366, 371, 391, 392, 393, 445, 476, 498, 512, 537, 569, 572, 580, 643, 663] [95, 127, 132, 187, 191, 209, 211, 253, 254, 273, 276, 285, 307, 312, 313, 315, 365, 367, 372, 392, 393, 394, 446, 477, 499, 513, 538, 570, 573, 581, 644, 664] [96, 128, 133, 188, 192, 210, 212, 254, 255, 274, 277, 286, 308, 313, 314, 316, 366, 368, 373, 393, 394, 395, 447, 478, 500, 514, 539, 571, 574, 582, 645, 665] [97, 129, 134, 189, 193, 211, 213, 255, 256, 275, 278, 287, 309, 314, 315, 317, 367, 369, 374, 394, 395, 396, 448, 479, 501, 515, 540, 572, 575, 583, 646, 666] [98, 130, 135, 190, 194, 212, 214, 256, 257, 276, 279, 288, 310, 315, 316, 318, 368, 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615, 620, 640, 641, 642] [3, 35, 40, 95, 99, 117, 119, 161, 162, 181, 184, 193, 215, 220, 221, 223, 354, 385, 407, 421, 446, 478, 481, 489, 552, 572, 614, 616, 621, 641, 642, 643] [4, 36, 41, 96, 100, 118, 120, 162, 163, 182, 185, 194, 216, 221, 222, 224, 355, 386, 408, 422, 447, 479, 482, 490, 553, 573, 615, 617, 622, 642, 643, 644] [5, 37, 42, 97, 101, 119, 121, 163, 164, 183, 186, 195, 217, 222, 223, 225, 356, 387, 409, 423, 448, 480, 483, 491, 554, 574, 616, 618, 623, 643, 644, 645] [6, 38, 43, 98, 102, 120, 122, 164, 165, 184, 187, 196, 218, 223, 224, 226, 357, 388, 410, 424, 449, 481, 484, 492, 555, 575, 617, 619, 624, 644, 645, 646] [7, 39, 44, 99, 103, 121, 123, 165, 166, 185, 188, 197, 219, 224, 225, 227, 358, 389, 411, 425, 450, 482, 485, 493, 556, 576, 618, 620, 625, 645, 646, 647] [8, 40, 45, 100, 104, 122, 124, 166, 167, 186, 189, 198, 220, 225, 226, 228, 359, 390, 412, 426, 451, 483, 486, 494, 557, 577, 619, 621, 626, 646, 647, 648] [9, 41, 46, 101, 105, 123, 125, 167, 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419, 433, 458, 490, 493, 501, 564, 584, 626, 628, 633, 653, 654, 655] [16, 48, 53, 108, 112, 130, 132, 174, 175, 194, 197, 206, 228, 233, 234, 236, 367, 398, 420, 434, 459, 491, 494, 502, 565, 585, 627, 629, 634, 654, 655, 656] [17, 49, 54, 109, 113, 131, 133, 175, 176, 195, 198, 207, 229, 234, 235, 237, 368, 399, 421, 435, 460, 492, 495, 503, 566, 586, 628, 630, 635, 655, 656, 657] [18, 50, 55, 110, 114, 132, 134, 176, 177, 196, 199, 208, 230, 235, 236, 238, 369, 400, 422, 436, 461, 493, 496, 504, 567, 587, 629, 631, 636, 656, 657, 658] [19, 51, 56, 111, 115, 133, 135, 177, 178, 197, 200, 209, 231, 236, 237, 239, 370, 401, 423, 437, 462, 494, 497, 505, 568, 588, 630, 632, 637, 657, 658, 659] [20, 52, 57, 112, 116, 134, 136, 178, 179, 198, 201, 210, 232, 237, 238, 240, 371, 402, 424, 438, 463, 495, 498, 506, 569, 589, 631, 633, 638, 658, 659, 660] [21, 53, 58, 113, 117, 135, 137, 179, 180, 199, 202, 211, 233, 238, 239, 241, 372, 403, 425, 439, 464, 496, 499, 507, 570, 590, 632, 634, 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Code ID 682-142-82 · download JSON · raw on GitHub