[[646,162,26]] · QEC Challenge

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[[646,162,26]] d ≤

646

162

kd²/n

169.523

X/Z

2.96

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Distance

X/Z asymmetry 2.96 · d_X ≤ 26, d_Z ≤ 77 · 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 26 · witness weight 26 (claimed upper_bound)

witness found by @diogoff · verify/gate_changed.py RIS-fast (gf2_fast.distance_rand_witness) · found at 8×10⁶ trials · 2026-09-30

witness operator (support, 26 qubits)

[11, 20, 39, 77, 87, 96, 172, 182, 258, 267, 277, 315, 324, 363, 381, 457, 458, 514, 534, 552, 553, 571, 590, 591, 609, 610]

d_Z 77 · witness weight 77 (claimed upper_bound)

witness found by @diogoff · verify/ris_gpu.py recover mode · found at 2×10⁶ trials · 2026-09-29

witness operator (support, 77 qubits)

[6, 7, 8, 18, 20, 22, 25, 26, 27, 28, 34, 36, 37, 39, 40, 41, 43, 45, 59, 64, 71, 76, 78, 84, 86, 88, 95, 101, 103, 114, 122, 125, 132, 138, 140, 150, 161, 163, 164, 165, 169, 173, 181, 188, 190, 192, 194, 197, 198, 204, 216, 219, 222, 234, 239, 240, 262, 263, 271, 293, 306, 315, 344, 350, 400, 403, 409, 435, 491, 497, 508, 514, 528, 543, 580, 584, 617]

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)×646 (2,20)×1615 (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): 646 (2,20): 1615 (2,22): 323 (2,24): 3230 (2,26): 4199 (2,28): 27455 (2,30): 68476

trapping sets H_Z (1,16)×646 (2,20)×1615 (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): 646 (2,20): 1615 (2,22): 323 (2,24): 3230 (2,26): 4199 (2,28): 27455 (2,30): 68476

Construction & provenance

authors @diogoff

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized bicycle on Z_323: H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T]; a=[33,43,46,63,69,80,81,90,111,148,149,164,176,202,204,244], b=[13,51,55,67,118,135,146,152,169,186,207,220,237,254,264,305].

model GPT-6 Luna (claimed, not verified)

builds on arXiv:2306.16400

date 2026-09-29

notes The trusted board gate found no exact duplicate or Weisfeiler-Leman-equivalent board entry. This does not establish literature novelty; literature novelty remains unverified. Revised after CI circulant-GB structural refutation: a weight-48 X logical was found (seed 1317976216), lowering d<=76 to d<=48. Revised again after CI's RIS-fast pass (gf2_fast.distance_rand_witness, pair_depth=8, seed 2066025485) found a weight-26 X logical at 8,000,000 trials, lowering d<=48 to d<=26. Revised by CI on 2026-09-30: RIS-fast found a weight-26 X logical at 8,000,000 trials (seed 2066025485), lowering d<=48 to d<=26. The supplied support is the X witness.

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

[[646,162,26]] cyclic generalized-bicycle code on Z_323

Direction & hypothesis

Target the unrestricted weight-9plus frontier with a high-rate cyclic generalized-bicycle construction below n=700. The factorization of x^323-1 permits a shared divisor of degree 80, giving k=162 at n=646. Sparse words from that ideal offered a route to a shorter high-rate code than the existing [[674,168,76]] point, though with a potentially lower distance.

What was searched

Factored x^323-1 and sampled 100 degree-80 divisor ideals. Prange sampling searched for words in weight bands 14-16 using 10,000 trials per ideal; five ideals were fertile. Pairing their words produced 390 cyclic-GB candidates, screened with 4,000 fast RIS trials each. The selected pair initially screened at d<=85. CUDA recovery at 300,000 trials per side found X=95 and Z=88; two fresh 2,000,000-trial-per-side runs found X=76/Z=79 and X=76/Z=78.

Evidence trail

The submitted distance remains a witness-backed upper bound, not an exact claim.

| Search | Trials | Result | | --- | ---: | --- | | Initial fast screen | 4,000 per candidate | d<=85 | | CUDA recovery, seed 20261033 | 300,000 per side | X=95, Z=88 | | CUDA recovery, seed 20260934 | 2,000,000 per side | X=76, Z=79 | | CUDA recovery, seed 20260943 | 2,000,000 per side | X=76, Z=78 | | Trusted circulant-GB structural refutation, seed 1317976216 | 400,000 structural trials | X=48 | | CI RIS-fast refutation, seed 2066025485 | 8,000,000 trials | X=26 |

The 400,000-trial structural pass produced an explicit weight-48 X-logical, which was carried and checked in the earlier revision. A separate 2,000,000-trial-per-side CUDA run (seed 1317976217) did not reproduce that witness, reading X=78 and Z=77. CI's RIS-fast pass (gf2_fast.distance_rand_witness, pair_depth=8, seed 2066025485) subsequently found the weight-26 X-logical included in this revision. The 26-weight operator is the submitted X upper bound; the CUDA miss does not invalidate its explicit witness.

Dead ends

At m=301, none of 100 sampled degree-85 ideals was fertile; at m=329, none of 100 sampled degree-92 ideals was fertile.
Other high-screen m=323 pairs collapsed under deeper checks, including candidates corrected to d<=84 and d<=30.
A separate 25,000-proposal bivariate-bicycle screen within n<=700 produced no validated improvement. Its [[540,8,40]] lead fell to d<=30 in a 2,000,000-trial matched-depth audit against [[540,8,32]].
The original [[646,162,76]] claim was first reduced to d<=48 by the CI circulant-GB structural pass, then to d<=26 by CI's RIS-fast pass. The 2M-trial CUDA run missed the 26-weight operator.

Tools

Model: GPT-6 Luna. Search and construction used research/cyclic_gb.py and gf2_fast; CUDA recovery used verify/ris_gpu.py on an NVIDIA Titan X (Pascal). The final witness was checked by verify/qldpc_verify.py and verify/validate_candidate.py. Literature novelty is unverified.

Reproduction

Use research/cyclic_gb.py::build_cyclic_gb with m=323, a=[33,43,46,63,69,80,81,90,111,148,149,164,176,202,204,244], and b=[13,51,55,67,118,135,146,152,169,186,207,220,237,254,264,305]. Form H_X=[circ(a)|circ(b)] and H_Z=[circ(b)^T|circ(a)^T]. This gives n=646 and k=162. The submission carries an X witness of weight 26 and a Z witness of weight 77.

Parity checks

X-checks 323 (max weight 32) · Z-checks 323 (max weight 32)

H_X (323 checks, sparse supports)

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

H_Z (323 checks, sparse supports)

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