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[[682,62,100]] d ≤
n
682
k
62
d
100
kd²/n
909.091
w
20
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 100, d_Z ≤ 100 · w_X = 20, w_Z = 20 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 100 · witness weight 100 (claimed upper_bound)
witness operator (support, 100 qubits)
[2, 10, 26, 28, 41, 48, 52, 55, 61, 62, 69, 94, 97, 98, 105, 115, 120, 123, 138, 156, 160, 162, 165, 176, 190, 195, 205, 217, 219, 220, 230, 231, 235, 236, 239, 254, 263, 278, 281, 291, 295, 316, 318, 325, 328, 335, 342, 352, 355, 356, 360, 362, 363, 374, 376, 377, 380, 383, 389, 392, 395, 396, 398, 399, 406, 410, 453, 458, 460, 468, 478, 480, 481, 483, 499, 501, 507, 526, 527, 533, 536, 542, 543, 545, 547, 552, 562, 584, 593, 600, 602, 611, 620, 638, 644, 648, 649, 650, 664, 667]
d_Z 100 · witness weight 100 (claimed upper_bound)
witness operator (support, 100 qubits)
[0, 4, 16, 20, 23, 27, 46, 67, 70, 80, 85, 87, 101, 102, 108, 112, 116, 119, 129, 131, 136, 137, 138, 162, 163, 168, 169, 179, 180, 183, 192, 197, 198, 200, 206, 221, 223, 224, 229, 231, 235, 254, 273, 277, 281, 286, 298, 308, 309, 311, 318, 319, 320, 321, 342, 345, 350, 356, 367, 370, 380, 389, 404, 405, 418, 426, 437, 440, 446, 450, 456, 457, 476, 479, 481, 486, 499, 509, 512, 519, 520, 527, 528, 537, 553, 554, 566, 578, 580, 589, 602, 604, 610, 618, 621, 624, 641, 655, 660, 661]
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 20 · H_Z 20
qubit degrees H_X 8–12 (mean 10.0) · H_Z 8–12 (mean 10.0)
trapping sets H_X (1,8)×341 (2,12)×682 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,8): 341 (1,12): 341 (2,12): 682 (2,14): 8184 (2,16): 2046 (2,18): 28985 (2,20): 3751 (2,22): 13981
trapping sets H_Z (1,8)×341 (2,12)×682 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,8): 341 (1,12): 341 (2,12): 682 (2,14): 8184 (2,16): 2046 (2,18): 28985 (2,20): 3751 (2,22): 13981

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x341 - 1 with a(x) = x35 + x41 + x152 + x175 + x176 + x195 + x227 + x335, b(x) = x24 + x35 + x45 + x122 + x136 + x191 + x192 + x193 + x197 + x218 + x258 + x274; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]. a and b are low-weight codewords of the ideal of a divisor of x341 - 1 of degree 31, fixing k = 2 deg gcd(a, b, x^m - 1) = 62.
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-13
notes Designed-divisor construction: the divisor is a product of cyclotomic-coset minimal polynomials over GF(2^ord_2(m)), so its degree and hence k are chosen rather than inherited, and a and b are drawn from its ideal by information-set decoding. Both single-block kernels have dimension 31 exactly, matching deg gcd(a, b, x^m - 1), so neither circulant block is wider than k requires. Distance is a witness-backed upper bound from 24 random information-set seeds at 2,000,000 trials each over 31,061 s, with the per-seed spread running 100 to 104. An orbit fold over every equal-orbit partition bottoms at a validated lift weight of 110, and a single-block circulant search at 10 seeds x 600,000 trials finds nothing under 100. Both witnesses re-verified against these matrices.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

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

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

[[682,62,100]] — cyclic generalized-bicycle code from a designed divisor ideal

No board entry at any blocklength reaches k >= 62 and d >= 100 together. At n <= 682 with d >= 100 and row weight at most 20 there are three entries and every one of them has k = 2. This code supersedes my own [[682,62,98]] at row weight 24, which it dominates on both axes.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension is a property of a polynomial gcd and can be chosen rather than waited for. Building a divisor g of known degree and drawing a and b from its ideal fixes k = 2 deg g on demand. The target was the band at n near 700 where the board carries high distance only at k = 2.

What was searched

m = 341 = 11 * 31, with ord_2(341) = 10. The cyclotomic cosets of x^341 - 1 over GF(2) number 38: one of size 1, thirty-one of size 10 and six of size 5. The divisor is assembled from coset minimal polynomials over GF(2^10) to reach degree 31, and a and b are drawn as low-weight codewords of its ideal by Prange information-set decoding, giving weight 8 and weight 12.

Triage read 109 at 20,000 RIS trials. Confirmation settled it at 100, which is the usual direction and size of that correction in this family.

Evidence trail

Divisor degree 31, so k = 62. Both single-block gcds, deg gcd(a, x^m - 1) and deg gcd(b, x^m - 1), equal 31 as well, so neither circulant block carries a kernel wider than k requires.

Three independent mechanisms, none of which reaches below the claim:

  • General RIS, 24 random information-set seeds at 2,000,000 trials each

    • (31,061 s): lightest logical weight 100 on both X and Z, with the per-seed spread running 100 to 104 and four seeds landing on 100.

  • Orbit fold over every equal-orbit partition of the 682 qubits, with the folded

    • code handed to a distance search (research/foldbound.py): lightest validated lift weight 110, at 31 orbits of size 11.

  • Single-block circulant search, 10 seeds at 600,000 trials: nothing under 100.

    • A logical supported on one block of H_X = [circ(a) | circ(b)] is constrained only by that block, so it lives in one 341-column kernel that the general search essentially never samples.

The claim is d = 100, a witness-backed upper bound. Both witnesses are in the submission and were re-checked against H_X and H_Z with plain integer arithmetic: each has weight 100, commutes with the opposite checks, and lies outside the rowspace of its own.

Dead ends

The fold is what decides this family, and the cheap bounds do not stand in for it. [[682,102,85]] at row weight 16 from the same sweep passed the quotient-lift and single-block bounds and then folded to weight 44, on the same partition of 31 orbits of size 11 that clears this code at 110. Its sibling [[682,102,90]] at row weight 22 shares its modulus and its divisor degree of 51, and folds at 110. So the fold outcome is a property of the particular a and b rather than of m and deg g, and no design argument substitutes for running the fold on each draw.

Low dimension in this family dies on the fold for the same reason. Twenty draws at k = 40 to 42 read 108 to 116 at triage and settled at 55 to 88, and the best of them is dominated by [[674,42,97]] at row weight 13. High dimension dies on the single block instead, where the BCH bound on the dimension-deg g cyclic code falls from 120 at k = 80 to 72 at k = 180. Degree 31 sits below the first of those and well clear of the second.

Tools

Claude Opus 5 under Claude Code. gf2_fast from verify/ for the accelerated RIS and single-block searches, verify/gf2.py for GF(2) rank, nullspace and logical bases, research/foldbound.py for the orbit fold, and verify/validate_candidate.py for the verdict. Divisor assembly and the information-set draw are described above rather than committed. The 24-seed confirmation ran 31,061 s on 4 cores, about 35 core-hours.

Reproduction

m = 341, n = 682, k = 62.

a(x) = x^35 + x^41 + x^152 + x^175 + x^176 + x^195 + x^227 + x^335
b(x) = x^24 + x^35 + x^45 + x^122 + x^136 + x^191 + x^192 + x^193 + x^197
     + x^218 + x^258 + x^274

H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T], with circ(p)[i, j] = 1 exactly when j - i mod 341 is an exponent of p. The exact supports are in codes/682-62-100.json.

Parity checks

X-checks 341 (max weight 20) · Z-checks 341 (max weight 20)
H_X (341 checks, sparse supports)
[35, 41, 152, 175, 176, 195, 227, 335, 365, 376, 386, 463, 477, 532, 533, 534, 538, 559, 599, 615] [36, 42, 153, 176, 177, 196, 228, 336, 366, 377, 387, 464, 478, 533, 534, 535, 539, 560, 600, 616] [37, 43, 154, 177, 178, 197, 229, 337, 367, 378, 388, 465, 479, 534, 535, 536, 540, 561, 601, 617] [38, 44, 155, 178, 179, 198, 230, 338, 368, 379, 389, 466, 480, 535, 536, 537, 541, 562, 602, 618] [39, 45, 156, 179, 180, 199, 231, 339, 369, 380, 390, 467, 481, 536, 537, 538, 542, 563, 603, 619] [40, 46, 157, 180, 181, 200, 232, 340, 370, 381, 391, 468, 482, 537, 538, 539, 543, 564, 604, 620] [0, 41, 47, 158, 181, 182, 201, 233, 371, 382, 392, 469, 483, 538, 539, 540, 544, 565, 605, 621] [1, 42, 48, 159, 182, 183, 202, 234, 372, 383, 393, 470, 484, 539, 540, 541, 545, 566, 606, 622] [2, 43, 49, 160, 183, 184, 203, 235, 373, 384, 394, 471, 485, 540, 541, 542, 546, 567, 607, 623] [3, 44, 50, 161, 184, 185, 204, 236, 374, 385, 395, 472, 486, 541, 542, 543, 547, 568, 608, 624] [4, 45, 51, 162, 185, 186, 205, 237, 375, 386, 396, 473, 487, 542, 543, 544, 548, 569, 609, 625] [5, 46, 52, 163, 186, 187, 206, 238, 376, 387, 397, 474, 488, 543, 544, 545, 549, 570, 610, 626] [6, 47, 53, 164, 187, 188, 207, 239, 377, 388, 398, 475, 489, 544, 545, 546, 550, 571, 611, 627] [7, 48, 54, 165, 188, 189, 208, 240, 378, 389, 399, 476, 490, 545, 546, 547, 551, 572, 612, 628] [8, 49, 55, 166, 189, 190, 209, 241, 379, 390, 400, 477, 491, 546, 547, 548, 552, 573, 613, 629] [9, 50, 56, 167, 190, 191, 210, 242, 380, 391, 401, 478, 492, 547, 548, 549, 553, 574, 614, 630] [10, 51, 57, 168, 191, 192, 211, 243, 381, 392, 402, 479, 493, 548, 549, 550, 554, 575, 615, 631] [11, 52, 58, 169, 192, 193, 212, 244, 382, 393, 403, 480, 494, 549, 550, 551, 555, 576, 616, 632] [12, 53, 59, 170, 193, 194, 213, 245, 383, 394, 404, 481, 495, 550, 551, 552, 556, 577, 617, 633] [13, 54, 60, 171, 194, 195, 214, 246, 384, 395, 405, 482, 496, 551, 552, 553, 557, 578, 618, 634] [14, 55, 61, 172, 195, 196, 215, 247, 385, 396, 406, 483, 497, 552, 553, 554, 558, 579, 619, 635] [15, 56, 62, 173, 196, 197, 216, 248, 386, 397, 407, 484, 498, 553, 554, 555, 559, 580, 620, 636] [16, 57, 63, 174, 197, 198, 217, 249, 387, 398, 408, 485, 499, 554, 555, 556, 560, 581, 621, 637] [17, 58, 64, 175, 198, 199, 218, 250, 388, 399, 409, 486, 500, 555, 556, 557, 561, 582, 622, 638] [18, 59, 65, 176, 199, 200, 219, 251, 389, 400, 410, 487, 501, 556, 557, 558, 562, 583, 623, 639] [19, 60, 66, 177, 200, 201, 220, 252, 390, 401, 411, 488, 502, 557, 558, 559, 563, 584, 624, 640] [20, 61, 67, 178, 201, 202, 221, 253, 391, 402, 412, 489, 503, 558, 559, 560, 564, 585, 625, 641] [21, 62, 68, 179, 202, 203, 222, 254, 392, 403, 413, 490, 504, 559, 560, 561, 565, 586, 626, 642] [22, 63, 69, 180, 203, 204, 223, 255, 393, 404, 414, 491, 505, 560, 561, 562, 566, 587, 627, 643] [23, 64, 70, 181, 204, 205, 224, 256, 394, 405, 415, 492, 506, 561, 562, 563, 567, 588, 628, 644] [24, 65, 71, 182, 205, 206, 225, 257, 395, 406, 416, 493, 507, 562, 563, 564, 568, 589, 629, 645] [25, 66, 72, 183, 206, 207, 226, 258, 396, 407, 417, 494, 508, 563, 564, 565, 569, 590, 630, 646] [26, 67, 73, 184, 207, 208, 227, 259, 397, 408, 418, 495, 509, 564, 565, 566, 570, 591, 631, 647] [27, 68, 74, 185, 208, 209, 228, 260, 398, 409, 419, 496, 510, 565, 566, 567, 571, 592, 632, 648] [28, 69, 75, 186, 209, 210, 229, 261, 399, 410, 420, 497, 511, 566, 567, 568, 572, 593, 633, 649] [29, 70, 76, 187, 210, 211, 230, 262, 400, 411, 421, 498, 512, 567, 568, 569, 573, 594, 634, 650] [30, 71, 77, 188, 211, 212, 231, 263, 401, 412, 422, 499, 513, 568, 569, 570, 574, 595, 635, 651] [31, 72, 78, 189, 212, 213, 232, 264, 402, 413, 423, 500, 514, 569, 570, 571, 575, 596, 636, 652] [32, 73, 79, 190, 213, 214, 233, 265, 403, 414, 424, 501, 515, 570, 571, 572, 576, 597, 637, 653] [33, 74, 80, 191, 214, 215, 234, 266, 404, 415, 425, 502, 516, 571, 572, 573, 577, 598, 638, 654] [34, 75, 81, 192, 215, 216, 235, 267, 405, 416, 426, 503, 517, 572, 573, 574, 578, 599, 639, 655] [35, 76, 82, 193, 216, 217, 236, 268, 406, 417, 427, 504, 518, 573, 574, 575, 579, 600, 640, 656] [36, 77, 83, 194, 217, 218, 237, 269, 407, 418, 428, 505, 519, 574, 575, 576, 580, 601, 641, 657] [37, 78, 84, 195, 218, 219, 238, 270, 408, 419, 429, 506, 520, 575, 576, 577, 581, 602, 642, 658] [38, 79, 85, 196, 219, 220, 239, 271, 409, 420, 430, 507, 521, 576, 577, 578, 582, 603, 643, 659] [39, 80, 86, 197, 220, 221, 240, 272, 410, 421, 431, 508, 522, 577, 578, 579, 583, 604, 644, 660] [40, 81, 87, 198, 221, 222, 241, 273, 411, 422, 432, 509, 523, 578, 579, 580, 584, 605, 645, 661] [41, 82, 88, 199, 222, 223, 242, 274, 412, 423, 433, 510, 524, 579, 580, 581, 585, 606, 646, 662] [42, 83, 89, 200, 223, 224, 243, 275, 413, 424, 434, 511, 525, 580, 581, 582, 586, 607, 647, 663] [43, 84, 90, 201, 224, 225, 244, 276, 414, 425, 435, 512, 526, 581, 582, 583, 587, 608, 648, 664] [44, 85, 91, 202, 225, 226, 245, 277, 415, 426, 436, 513, 527, 582, 583, 584, 588, 609, 649, 665] [45, 86, 92, 203, 226, 227, 246, 278, 416, 427, 437, 514, 528, 583, 584, 585, 589, 610, 650, 666] [46, 87, 93, 204, 227, 228, 247, 279, 417, 428, 438, 515, 529, 584, 585, 586, 590, 611, 651, 667] [47, 88, 94, 205, 228, 229, 248, 280, 418, 429, 439, 516, 530, 585, 586, 587, 591, 612, 652, 668] [48, 89, 95, 206, 229, 230, 249, 281, 419, 430, 440, 517, 531, 586, 587, 588, 592, 613, 653, 669] [49, 90, 96, 207, 230, 231, 250, 282, 420, 431, 441, 518, 532, 587, 588, 589, 593, 614, 654, 670] [50, 91, 97, 208, 231, 232, 251, 283, 421, 432, 442, 519, 533, 588, 589, 590, 594, 615, 655, 671] [51, 92, 98, 209, 232, 233, 252, 284, 422, 433, 443, 520, 534, 589, 590, 591, 595, 616, 656, 672] [52, 93, 99, 210, 233, 234, 253, 285, 423, 434, 444, 521, 535, 590, 591, 592, 596, 617, 657, 673] [53, 94, 100, 211, 234, 235, 254, 286, 424, 435, 445, 522, 536, 591, 592, 593, 597, 618, 658, 674] [54, 95, 101, 212, 235, 236, 255, 287, 425, 436, 446, 523, 537, 592, 593, 594, 598, 619, 659, 675] [55, 96, 102, 213, 236, 237, 256, 288, 426, 437, 447, 524, 538, 593, 594, 595, 599, 620, 660, 676] [56, 97, 103, 214, 237, 238, 257, 289, 427, 438, 448, 525, 539, 594, 595, 596, 600, 621, 661, 677] [57, 98, 104, 215, 238, 239, 258, 290, 428, 439, 449, 526, 540, 595, 596, 597, 601, 622, 662, 678] [58, 99, 105, 216, 239, 240, 259, 291, 429, 440, 450, 527, 541, 596, 597, 598, 602, 623, 663, 679] [59, 100, 106, 217, 240, 241, 260, 292, 430, 441, 451, 528, 542, 597, 598, 599, 603, 624, 664, 680] [60, 101, 107, 218, 241, 242, 261, 293, 431, 442, 452, 529, 543, 598, 599, 600, 604, 625, 665, 681] [61, 102, 108, 219, 242, 243, 262, 294, 341, 432, 443, 453, 530, 544, 599, 600, 601, 605, 626, 666] [62, 103, 109, 220, 243, 244, 263, 295, 342, 433, 444, 454, 531, 545, 600, 601, 602, 606, 627, 667] [63, 104, 110, 221, 244, 245, 264, 296, 343, 434, 445, 455, 532, 546, 601, 602, 603, 607, 628, 668] [64, 105, 111, 222, 245, 246, 265, 297, 344, 435, 446, 456, 533, 547, 602, 603, 604, 608, 629, 669] [65, 106, 112, 223, 246, 247, 266, 298, 345, 436, 447, 457, 534, 548, 603, 604, 605, 609, 630, 670] [66, 107, 113, 224, 247, 248, 267, 299, 346, 437, 448, 458, 535, 549, 604, 605, 606, 610, 631, 671] [67, 108, 114, 225, 248, 249, 268, 300, 347, 438, 449, 459, 536, 550, 605, 606, 607, 611, 632, 672] [68, 109, 115, 226, 249, 250, 269, 301, 348, 439, 450, 460, 537, 551, 606, 607, 608, 612, 633, 673] [69, 110, 116, 227, 250, 251, 270, 302, 349, 440, 451, 461, 538, 552, 607, 608, 609, 613, 634, 674] [70, 111, 117, 228, 251, 252, 271, 303, 350, 441, 452, 462, 539, 553, 608, 609, 610, 614, 635, 675] [71, 112, 118, 229, 252, 253, 272, 304, 351, 442, 453, 463, 540, 554, 609, 610, 611, 615, 636, 676] [72, 113, 119, 230, 253, 254, 273, 305, 352, 443, 454, 464, 541, 555, 610, 611, 612, 616, 637, 677] [73, 114, 120, 231, 254, 255, 274, 306, 353, 444, 455, 465, 542, 556, 611, 612, 613, 617, 638, 678] [74, 115, 121, 232, 255, 256, 275, 307, 354, 445, 456, 466, 543, 557, 612, 613, 614, 618, 639, 679] [75, 116, 122, 233, 256, 257, 276, 308, 355, 446, 457, 467, 544, 558, 613, 614, 615, 619, 640, 680] [76, 117, 123, 234, 257, 258, 277, 309, 356, 447, 458, 468, 545, 559, 614, 615, 616, 620, 641, 681] [77, 118, 124, 235, 258, 259, 278, 310, 341, 357, 448, 459, 469, 546, 560, 615, 616, 617, 621, 642] [78, 119, 125, 236, 259, 260, 279, 311, 342, 358, 449, 460, 470, 547, 561, 616, 617, 618, 622, 643] [79, 120, 126, 237, 260, 261, 280, 312, 343, 359, 450, 461, 471, 548, 562, 617, 618, 619, 623, 644] [80, 121, 127, 238, 261, 262, 281, 313, 344, 360, 451, 462, 472, 549, 563, 618, 619, 620, 624, 645] [81, 122, 128, 239, 262, 263, 282, 314, 345, 361, 452, 463, 473, 550, 564, 619, 620, 621, 625, 646] [82, 123, 129, 240, 263, 264, 283, 315, 346, 362, 453, 464, 474, 551, 565, 620, 621, 622, 626, 647] [83, 124, 130, 241, 264, 265, 284, 316, 347, 363, 454, 465, 475, 552, 566, 621, 622, 623, 627, 648] [84, 125, 131, 242, 265, 266, 285, 317, 348, 364, 455, 466, 476, 553, 567, 622, 623, 624, 628, 649] [85, 126, 132, 243, 266, 267, 286, 318, 349, 365, 456, 467, 477, 554, 568, 623, 624, 625, 629, 650] [86, 127, 133, 244, 267, 268, 287, 319, 350, 366, 457, 468, 478, 555, 569, 624, 625, 626, 630, 651] [87, 128, 134, 245, 268, 269, 288, 320, 351, 367, 458, 469, 479, 556, 570, 625, 626, 627, 631, 652] [88, 129, 135, 246, 269, 270, 289, 321, 352, 368, 459, 470, 480, 557, 571, 626, 627, 628, 632, 653] [89, 130, 136, 247, 270, 271, 290, 322, 353, 369, 460, 471, 481, 558, 572, 627, 628, 629, 633, 654] [90, 131, 137, 248, 271, 272, 291, 323, 354, 370, 461, 472, 482, 559, 573, 628, 629, 630, 634, 655] [91, 132, 138, 249, 272, 273, 292, 324, 355, 371, 462, 473, 483, 560, 574, 629, 630, 631, 635, 656] [92, 133, 139, 250, 273, 274, 293, 325, 356, 372, 463, 474, 484, 561, 575, 630, 631, 632, 636, 657] [93, 134, 140, 251, 274, 275, 294, 326, 357, 373, 464, 475, 485, 562, 576, 631, 632, 633, 637, 658] [94, 135, 141, 252, 275, 276, 295, 327, 358, 374, 465, 476, 486, 563, 577, 632, 633, 634, 638, 659] [95, 136, 142, 253, 276, 277, 296, 328, 359, 375, 466, 477, 487, 564, 578, 633, 634, 635, 639, 660] [96, 137, 143, 254, 277, 278, 297, 329, 360, 376, 467, 478, 488, 565, 579, 634, 635, 636, 640, 661] [97, 138, 144, 255, 278, 279, 298, 330, 361, 377, 468, 479, 489, 566, 580, 635, 636, 637, 641, 662] [98, 139, 145, 256, 279, 280, 299, 331, 362, 378, 469, 480, 490, 567, 581, 636, 637, 638, 642, 663] [99, 140, 146, 257, 280, 281, 300, 332, 363, 379, 470, 481, 491, 568, 582, 637, 638, 639, 643, 664] [100, 141, 147, 258, 281, 282, 301, 333, 364, 380, 471, 482, 492, 569, 583, 638, 639, 640, 644, 665] [101, 142, 148, 259, 282, 283, 302, 334, 365, 381, 472, 483, 493, 570, 584, 639, 640, 641, 645, 666] [102, 143, 149, 260, 283, 284, 303, 335, 366, 382, 473, 484, 494, 571, 585, 640, 641, 642, 646, 667] [103, 144, 150, 261, 284, 285, 304, 336, 367, 383, 474, 485, 495, 572, 586, 641, 642, 643, 647, 668] [104, 145, 151, 262, 285, 286, 305, 337, 368, 384, 475, 486, 496, 573, 587, 642, 643, 644, 648, 669] [105, 146, 152, 263, 286, 287, 306, 338, 369, 385, 476, 487, 497, 574, 588, 643, 644, 645, 649, 670] [106, 147, 153, 264, 287, 288, 307, 339, 370, 386, 477, 488, 498, 575, 589, 644, 645, 646, 650, 671] [107, 148, 154, 265, 288, 289, 308, 340, 371, 387, 478, 489, 499, 576, 590, 645, 646, 647, 651, 672] [0, 108, 149, 155, 266, 289, 290, 309, 372, 388, 479, 490, 500, 577, 591, 646, 647, 648, 652, 673] [1, 109, 150, 156, 267, 290, 291, 310, 373, 389, 480, 491, 501, 578, 592, 647, 648, 649, 653, 674] [2, 110, 151, 157, 268, 291, 292, 311, 374, 390, 481, 492, 502, 579, 593, 648, 649, 650, 654, 675] [3, 111, 152, 158, 269, 292, 293, 312, 375, 391, 482, 493, 503, 580, 594, 649, 650, 651, 655, 676] [4, 112, 153, 159, 270, 293, 294, 313, 376, 392, 483, 494, 504, 581, 595, 650, 651, 652, 656, 677] [5, 113, 154, 160, 271, 294, 295, 314, 377, 393, 484, 495, 505, 582, 596, 651, 652, 653, 657, 678] [6, 114, 155, 161, 272, 295, 296, 315, 378, 394, 485, 496, 506, 583, 597, 652, 653, 654, 658, 679] [7, 115, 156, 162, 273, 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538, 629, 640, 650] [76, 99, 100, 119, 151, 259, 300, 306, 387, 401, 456, 457, 458, 462, 483, 523, 539, 630, 641, 651] [77, 100, 101, 120, 152, 260, 301, 307, 388, 402, 457, 458, 459, 463, 484, 524, 540, 631, 642, 652] [78, 101, 102, 121, 153, 261, 302, 308, 389, 403, 458, 459, 460, 464, 485, 525, 541, 632, 643, 653] [79, 102, 103, 122, 154, 262, 303, 309, 390, 404, 459, 460, 461, 465, 486, 526, 542, 633, 644, 654] [80, 103, 104, 123, 155, 263, 304, 310, 391, 405, 460, 461, 462, 466, 487, 527, 543, 634, 645, 655] [81, 104, 105, 124, 156, 264, 305, 311, 392, 406, 461, 462, 463, 467, 488, 528, 544, 635, 646, 656] [82, 105, 106, 125, 157, 265, 306, 312, 393, 407, 462, 463, 464, 468, 489, 529, 545, 636, 647, 657] [83, 106, 107, 126, 158, 266, 307, 313, 394, 408, 463, 464, 465, 469, 490, 530, 546, 637, 648, 658] [84, 107, 108, 127, 159, 267, 308, 314, 395, 409, 464, 465, 466, 470, 491, 531, 547, 638, 649, 659] [85, 108, 109, 128, 160, 268, 309, 315, 396, 410, 465, 466, 467, 471, 492, 532, 548, 639, 650, 660] [86, 109, 110, 129, 161, 269, 310, 316, 397, 411, 466, 467, 468, 472, 493, 533, 549, 640, 651, 661] [87, 110, 111, 130, 162, 270, 311, 317, 398, 412, 467, 468, 469, 473, 494, 534, 550, 641, 652, 662] [88, 111, 112, 131, 163, 271, 312, 318, 399, 413, 468, 469, 470, 474, 495, 535, 551, 642, 653, 663] [89, 112, 113, 132, 164, 272, 313, 319, 400, 414, 469, 470, 471, 475, 496, 536, 552, 643, 654, 664] [90, 113, 114, 133, 165, 273, 314, 320, 401, 415, 470, 471, 472, 476, 497, 537, 553, 644, 655, 665] [91, 114, 115, 134, 166, 274, 315, 321, 402, 416, 471, 472, 473, 477, 498, 538, 554, 645, 656, 666] [92, 115, 116, 135, 167, 275, 316, 322, 403, 417, 472, 473, 474, 478, 499, 539, 555, 646, 657, 667] [93, 116, 117, 136, 168, 276, 317, 323, 404, 418, 473, 474, 475, 479, 500, 540, 556, 647, 658, 668] [94, 117, 118, 137, 169, 277, 318, 324, 405, 419, 474, 475, 476, 480, 501, 541, 557, 648, 659, 669] [95, 118, 119, 138, 170, 278, 319, 325, 406, 420, 475, 476, 477, 481, 502, 542, 558, 649, 660, 670] [96, 119, 120, 139, 171, 279, 320, 326, 407, 421, 476, 477, 478, 482, 503, 543, 559, 650, 661, 671] [97, 120, 121, 140, 172, 280, 321, 327, 408, 422, 477, 478, 479, 483, 504, 544, 560, 651, 662, 672] [98, 121, 122, 141, 173, 281, 322, 328, 409, 423, 478, 479, 480, 484, 505, 545, 561, 652, 663, 673] [99, 122, 123, 142, 174, 282, 323, 329, 410, 424, 479, 480, 481, 485, 506, 546, 562, 653, 664, 674] [100, 123, 124, 143, 175, 283, 324, 330, 411, 425, 480, 481, 482, 486, 507, 547, 563, 654, 665, 675] [101, 124, 125, 144, 176, 284, 325, 331, 412, 426, 481, 482, 483, 487, 508, 548, 564, 655, 666, 676] [102, 125, 126, 145, 177, 285, 326, 332, 413, 427, 482, 483, 484, 488, 509, 549, 565, 656, 667, 677] [103, 126, 127, 146, 178, 286, 327, 333, 414, 428, 483, 484, 485, 489, 510, 550, 566, 657, 668, 678] [104, 127, 128, 147, 179, 287, 328, 334, 415, 429, 484, 485, 486, 490, 511, 551, 567, 658, 669, 679] [105, 128, 129, 148, 180, 288, 329, 335, 416, 430, 485, 486, 487, 491, 512, 552, 568, 659, 670, 680] [106, 129, 130, 149, 181, 289, 330, 336, 417, 431, 486, 487, 488, 492, 513, 553, 569, 660, 671, 681] [107, 130, 131, 150, 182, 290, 331, 337, 341, 418, 432, 487, 488, 489, 493, 514, 554, 570, 661, 672] [108, 131, 132, 151, 183, 291, 332, 338, 342, 419, 433, 488, 489, 490, 494, 515, 555, 571, 662, 673] [109, 132, 133, 152, 184, 292, 333, 339, 343, 420, 434, 489, 490, 491, 495, 516, 556, 572, 663, 674] [110, 133, 134, 153, 185, 293, 334, 340, 344, 421, 435, 490, 491, 492, 496, 517, 557, 573, 664, 675] [0, 111, 134, 135, 154, 186, 294, 335, 345, 422, 436, 491, 492, 493, 497, 518, 558, 574, 665, 676] [1, 112, 135, 136, 155, 187, 295, 336, 346, 423, 437, 492, 493, 494, 498, 519, 559, 575, 666, 677] [2, 113, 136, 137, 156, 188, 296, 337, 347, 424, 438, 493, 494, 495, 499, 520, 560, 576, 667, 678] [3, 114, 137, 138, 157, 189, 297, 338, 348, 425, 439, 494, 495, 496, 500, 521, 561, 577, 668, 679] [4, 115, 138, 139, 158, 190, 298, 339, 349, 426, 440, 495, 496, 497, 501, 522, 562, 578, 669, 680] [5, 116, 139, 140, 159, 191, 299, 340, 350, 427, 441, 496, 497, 498, 502, 523, 563, 579, 670, 681] [0, 6, 117, 140, 141, 160, 192, 300, 341, 351, 428, 442, 497, 498, 499, 503, 524, 564, 580, 671] [1, 7, 118, 141, 142, 161, 193, 301, 342, 352, 429, 443, 498, 499, 500, 504, 525, 565, 581, 672] [2, 8, 119, 142, 143, 162, 194, 302, 343, 353, 430, 444, 499, 500, 501, 505, 526, 566, 582, 673] [3, 9, 120, 143, 144, 163, 195, 303, 344, 354, 431, 445, 500, 501, 502, 506, 527, 567, 583, 674] [4, 10, 121, 144, 145, 164, 196, 304, 345, 355, 432, 446, 501, 502, 503, 507, 528, 568, 584, 675] [5, 11, 122, 145, 146, 165, 197, 305, 346, 356, 433, 447, 502, 503, 504, 508, 529, 569, 585, 676] [6, 12, 123, 146, 147, 166, 198, 306, 347, 357, 434, 448, 503, 504, 505, 509, 530, 570, 586, 677] [7, 13, 124, 147, 148, 167, 199, 307, 348, 358, 435, 449, 504, 505, 506, 510, 531, 571, 587, 678] [8, 14, 125, 148, 149, 168, 200, 308, 349, 359, 436, 450, 505, 506, 507, 511, 532, 572, 588, 679] [9, 15, 126, 149, 150, 169, 201, 309, 350, 360, 437, 451, 506, 507, 508, 512, 533, 573, 589, 680] [10, 16, 127, 150, 151, 170, 202, 310, 351, 361, 438, 452, 507, 508, 509, 513, 534, 574, 590, 681] [11, 17, 128, 151, 152, 171, 203, 311, 341, 352, 362, 439, 453, 508, 509, 510, 514, 535, 575, 591] [12, 18, 129, 152, 153, 172, 204, 312, 342, 353, 363, 440, 454, 509, 510, 511, 515, 536, 576, 592] [13, 19, 130, 153, 154, 173, 205, 313, 343, 354, 364, 441, 455, 510, 511, 512, 516, 537, 577, 593] [14, 20, 131, 154, 155, 174, 206, 314, 344, 355, 365, 442, 456, 511, 512, 513, 517, 538, 578, 594] [15, 21, 132, 155, 156, 175, 207, 315, 345, 356, 366, 443, 457, 512, 513, 514, 518, 539, 579, 595] [16, 22, 133, 156, 157, 176, 208, 316, 346, 357, 367, 444, 458, 513, 514, 515, 519, 540, 580, 596] [17, 23, 134, 157, 158, 177, 209, 317, 347, 358, 368, 445, 459, 514, 515, 516, 520, 541, 581, 597] [18, 24, 135, 158, 159, 178, 210, 318, 348, 359, 369, 446, 460, 515, 516, 517, 521, 542, 582, 598] [19, 25, 136, 159, 160, 179, 211, 319, 349, 360, 370, 447, 461, 516, 517, 518, 522, 543, 583, 599] [20, 26, 137, 160, 161, 180, 212, 320, 350, 361, 371, 448, 462, 517, 518, 519, 523, 544, 584, 600] [21, 27, 138, 161, 162, 181, 213, 321, 351, 362, 372, 449, 463, 518, 519, 520, 524, 545, 585, 601] [22, 28, 139, 162, 163, 182, 214, 322, 352, 363, 373, 450, 464, 519, 520, 521, 525, 546, 586, 602] [23, 29, 140, 163, 164, 183, 215, 323, 353, 364, 374, 451, 465, 520, 521, 522, 526, 547, 587, 603] [24, 30, 141, 164, 165, 184, 216, 324, 354, 365, 375, 452, 466, 521, 522, 523, 527, 548, 588, 604] [25, 31, 142, 165, 166, 185, 217, 325, 355, 366, 376, 453, 467, 522, 523, 524, 528, 549, 589, 605] [26, 32, 143, 166, 167, 186, 218, 326, 356, 367, 377, 454, 468, 523, 524, 525, 529, 550, 590, 606] [27, 33, 144, 167, 168, 187, 219, 327, 357, 368, 378, 455, 469, 524, 525, 526, 530, 551, 591, 607] [28, 34, 145, 168, 169, 188, 220, 328, 358, 369, 379, 456, 470, 525, 526, 527, 531, 552, 592, 608] [29, 35, 146, 169, 170, 189, 221, 329, 359, 370, 380, 457, 471, 526, 527, 528, 532, 553, 593, 609] [30, 36, 147, 170, 171, 190, 222, 330, 360, 371, 381, 458, 472, 527, 528, 529, 533, 554, 594, 610] [31, 37, 148, 171, 172, 191, 223, 331, 361, 372, 382, 459, 473, 528, 529, 530, 534, 555, 595, 611] [32, 38, 149, 172, 173, 192, 224, 332, 362, 373, 383, 460, 474, 529, 530, 531, 535, 556, 596, 612] [33, 39, 150, 173, 174, 193, 225, 333, 363, 374, 384, 461, 475, 530, 531, 532, 536, 557, 597, 613] [34, 40, 151, 174, 175, 194, 226, 334, 364, 375, 385, 462, 476, 531, 532, 533, 537, 558, 598, 614]
H_Z (341 checks, sparse supports)
[67, 83, 123, 144, 148, 149, 150, 205, 219, 296, 306, 317, 347, 455, 487, 506, 507, 530, 641, 647] [68, 84, 124, 145, 149, 150, 151, 206, 220, 297, 307, 318, 348, 456, 488, 507, 508, 531, 642, 648] [69, 85, 125, 146, 150, 151, 152, 207, 221, 298, 308, 319, 349, 457, 489, 508, 509, 532, 643, 649] [70, 86, 126, 147, 151, 152, 153, 208, 222, 299, 309, 320, 350, 458, 490, 509, 510, 533, 644, 650] [71, 87, 127, 148, 152, 153, 154, 209, 223, 300, 310, 321, 351, 459, 491, 510, 511, 534, 645, 651] [72, 88, 128, 149, 153, 154, 155, 210, 224, 301, 311, 322, 352, 460, 492, 511, 512, 535, 646, 652] [73, 89, 129, 150, 154, 155, 156, 211, 225, 302, 312, 323, 353, 461, 493, 512, 513, 536, 647, 653] [74, 90, 130, 151, 155, 156, 157, 212, 226, 303, 313, 324, 354, 462, 494, 513, 514, 537, 648, 654] [75, 91, 131, 152, 156, 157, 158, 213, 227, 304, 314, 325, 355, 463, 495, 514, 515, 538, 649, 655] [76, 92, 132, 153, 157, 158, 159, 214, 228, 305, 315, 326, 356, 464, 496, 515, 516, 539, 650, 656] [77, 93, 133, 154, 158, 159, 160, 215, 229, 306, 316, 327, 357, 465, 497, 516, 517, 540, 651, 657] [78, 94, 134, 155, 159, 160, 161, 216, 230, 307, 317, 328, 358, 466, 498, 517, 518, 541, 652, 658] [79, 95, 135, 156, 160, 161, 162, 217, 231, 308, 318, 329, 359, 467, 499, 518, 519, 542, 653, 659] [80, 96, 136, 157, 161, 162, 163, 218, 232, 309, 319, 330, 360, 468, 500, 519, 520, 543, 654, 660] [81, 97, 137, 158, 162, 163, 164, 219, 233, 310, 320, 331, 361, 469, 501, 520, 521, 544, 655, 661] [82, 98, 138, 159, 163, 164, 165, 220, 234, 311, 321, 332, 362, 470, 502, 521, 522, 545, 656, 662] [83, 99, 139, 160, 164, 165, 166, 221, 235, 312, 322, 333, 363, 471, 503, 522, 523, 546, 657, 663] [84, 100, 140, 161, 165, 166, 167, 222, 236, 313, 323, 334, 364, 472, 504, 523, 524, 547, 658, 664] [85, 101, 141, 162, 166, 167, 168, 223, 237, 314, 324, 335, 365, 473, 505, 524, 525, 548, 659, 665] [86, 102, 142, 163, 167, 168, 169, 224, 238, 315, 325, 336, 366, 474, 506, 525, 526, 549, 660, 666] [87, 103, 143, 164, 168, 169, 170, 225, 239, 316, 326, 337, 367, 475, 507, 526, 527, 550, 661, 667] [88, 104, 144, 165, 169, 170, 171, 226, 240, 317, 327, 338, 368, 476, 508, 527, 528, 551, 662, 668] [89, 105, 145, 166, 170, 171, 172, 227, 241, 318, 328, 339, 369, 477, 509, 528, 529, 552, 663, 669] [90, 106, 146, 167, 171, 172, 173, 228, 242, 319, 329, 340, 370, 478, 510, 529, 530, 553, 664, 670] [0, 91, 107, 147, 168, 172, 173, 174, 229, 243, 320, 330, 371, 479, 511, 530, 531, 554, 665, 671] [1, 92, 108, 148, 169, 173, 174, 175, 230, 244, 321, 331, 372, 480, 512, 531, 532, 555, 666, 672] [2, 93, 109, 149, 170, 174, 175, 176, 231, 245, 322, 332, 373, 481, 513, 532, 533, 556, 667, 673] [3, 94, 110, 150, 171, 175, 176, 177, 232, 246, 323, 333, 374, 482, 514, 533, 534, 557, 668, 674] [4, 95, 111, 151, 172, 176, 177, 178, 233, 247, 324, 334, 375, 483, 515, 534, 535, 558, 669, 675] [5, 96, 112, 152, 173, 177, 178, 179, 234, 248, 325, 335, 376, 484, 516, 535, 536, 559, 670, 676] [6, 97, 113, 153, 174, 178, 179, 180, 235, 249, 326, 336, 377, 485, 517, 536, 537, 560, 671, 677] [7, 98, 114, 154, 175, 179, 180, 181, 236, 250, 327, 337, 378, 486, 518, 537, 538, 561, 672, 678] [8, 99, 115, 155, 176, 180, 181, 182, 237, 251, 328, 338, 379, 487, 519, 538, 539, 562, 673, 679] [9, 100, 116, 156, 177, 181, 182, 183, 238, 252, 329, 339, 380, 488, 520, 539, 540, 563, 674, 680] [10, 101, 117, 157, 178, 182, 183, 184, 239, 253, 330, 340, 381, 489, 521, 540, 541, 564, 675, 681] [0, 11, 102, 118, 158, 179, 183, 184, 185, 240, 254, 331, 341, 382, 490, 522, 541, 542, 565, 676] [1, 12, 103, 119, 159, 180, 184, 185, 186, 241, 255, 332, 342, 383, 491, 523, 542, 543, 566, 677] [2, 13, 104, 120, 160, 181, 185, 186, 187, 242, 256, 333, 343, 384, 492, 524, 543, 544, 567, 678] [3, 14, 105, 121, 161, 182, 186, 187, 188, 243, 257, 334, 344, 385, 493, 525, 544, 545, 568, 679] [4, 15, 106, 122, 162, 183, 187, 188, 189, 244, 258, 335, 345, 386, 494, 526, 545, 546, 569, 680] [5, 16, 107, 123, 163, 184, 188, 189, 190, 245, 259, 336, 346, 387, 495, 527, 546, 547, 570, 681] [6, 17, 108, 124, 164, 185, 189, 190, 191, 246, 260, 337, 341, 347, 388, 496, 528, 547, 548, 571] [7, 18, 109, 125, 165, 186, 190, 191, 192, 247, 261, 338, 342, 348, 389, 497, 529, 548, 549, 572] [8, 19, 110, 126, 166, 187, 191, 192, 193, 248, 262, 339, 343, 349, 390, 498, 530, 549, 550, 573] [9, 20, 111, 127, 167, 188, 192, 193, 194, 249, 263, 340, 344, 350, 391, 499, 531, 550, 551, 574] [0, 10, 21, 112, 128, 168, 189, 193, 194, 195, 250, 264, 345, 351, 392, 500, 532, 551, 552, 575] [1, 11, 22, 113, 129, 169, 190, 194, 195, 196, 251, 265, 346, 352, 393, 501, 533, 552, 553, 576] [2, 12, 23, 114, 130, 170, 191, 195, 196, 197, 252, 266, 347, 353, 394, 502, 534, 553, 554, 577] [3, 13, 24, 115, 131, 171, 192, 196, 197, 198, 253, 267, 348, 354, 395, 503, 535, 554, 555, 578] [4, 14, 25, 116, 132, 172, 193, 197, 198, 199, 254, 268, 349, 355, 396, 504, 536, 555, 556, 579] [5, 15, 26, 117, 133, 173, 194, 198, 199, 200, 255, 269, 350, 356, 397, 505, 537, 556, 557, 580] [6, 16, 27, 118, 134, 174, 195, 199, 200, 201, 256, 270, 351, 357, 398, 506, 538, 557, 558, 581] [7, 17, 28, 119, 135, 175, 196, 200, 201, 202, 257, 271, 352, 358, 399, 507, 539, 558, 559, 582] [8, 18, 29, 120, 136, 176, 197, 201, 202, 203, 258, 272, 353, 359, 400, 508, 540, 559, 560, 583] [9, 19, 30, 121, 137, 177, 198, 202, 203, 204, 259, 273, 354, 360, 401, 509, 541, 560, 561, 584] [10, 20, 31, 122, 138, 178, 199, 203, 204, 205, 260, 274, 355, 361, 402, 510, 542, 561, 562, 585] [11, 21, 32, 123, 139, 179, 200, 204, 205, 206, 261, 275, 356, 362, 403, 511, 543, 562, 563, 586] [12, 22, 33, 124, 140, 180, 201, 205, 206, 207, 262, 276, 357, 363, 404, 512, 544, 563, 564, 587] [13, 23, 34, 125, 141, 181, 202, 206, 207, 208, 263, 277, 358, 364, 405, 513, 545, 564, 565, 588] [14, 24, 35, 126, 142, 182, 203, 207, 208, 209, 264, 278, 359, 365, 406, 514, 546, 565, 566, 589] [15, 25, 36, 127, 143, 183, 204, 208, 209, 210, 265, 279, 360, 366, 407, 515, 547, 566, 567, 590] [16, 26, 37, 128, 144, 184, 205, 209, 210, 211, 266, 280, 361, 367, 408, 516, 548, 567, 568, 591] [17, 27, 38, 129, 145, 185, 206, 210, 211, 212, 267, 281, 362, 368, 409, 517, 549, 568, 569, 592] [18, 28, 39, 130, 146, 186, 207, 211, 212, 213, 268, 282, 363, 369, 410, 518, 550, 569, 570, 593] [19, 29, 40, 131, 147, 187, 208, 212, 213, 214, 269, 283, 364, 370, 411, 519, 551, 570, 571, 594] [20, 30, 41, 132, 148, 188, 209, 213, 214, 215, 270, 284, 365, 371, 412, 520, 552, 571, 572, 595] [21, 31, 42, 133, 149, 189, 210, 214, 215, 216, 271, 285, 366, 372, 413, 521, 553, 572, 573, 596] [22, 32, 43, 134, 150, 190, 211, 215, 216, 217, 272, 286, 367, 373, 414, 522, 554, 573, 574, 597] [23, 33, 44, 135, 151, 191, 212, 216, 217, 218, 273, 287, 368, 374, 415, 523, 555, 574, 575, 598] [24, 34, 45, 136, 152, 192, 213, 217, 218, 219, 274, 288, 369, 375, 416, 524, 556, 575, 576, 599] [25, 35, 46, 137, 153, 193, 214, 218, 219, 220, 275, 289, 370, 376, 417, 525, 557, 576, 577, 600] [26, 36, 47, 138, 154, 194, 215, 219, 220, 221, 276, 290, 371, 377, 418, 526, 558, 577, 578, 601] [27, 37, 48, 139, 155, 195, 216, 220, 221, 222, 277, 291, 372, 378, 419, 527, 559, 578, 579, 602] [28, 38, 49, 140, 156, 196, 217, 221, 222, 223, 278, 292, 373, 379, 420, 528, 560, 579, 580, 603] [29, 39, 50, 141, 157, 197, 218, 222, 223, 224, 279, 293, 374, 380, 421, 529, 561, 580, 581, 604] [30, 40, 51, 142, 158, 198, 219, 223, 224, 225, 280, 294, 375, 381, 422, 530, 562, 581, 582, 605] [31, 41, 52, 143, 159, 199, 220, 224, 225, 226, 281, 295, 376, 382, 423, 531, 563, 582, 583, 606] [32, 42, 53, 144, 160, 200, 221, 225, 226, 227, 282, 296, 377, 383, 424, 532, 564, 583, 584, 607] [33, 43, 54, 145, 161, 201, 222, 226, 227, 228, 283, 297, 378, 384, 425, 533, 565, 584, 585, 608] [34, 44, 55, 146, 162, 202, 223, 227, 228, 229, 284, 298, 379, 385, 426, 534, 566, 585, 586, 609] [35, 45, 56, 147, 163, 203, 224, 228, 229, 230, 285, 299, 380, 386, 427, 535, 567, 586, 587, 610] [36, 46, 57, 148, 164, 204, 225, 229, 230, 231, 286, 300, 381, 387, 428, 536, 568, 587, 588, 611] [37, 47, 58, 149, 165, 205, 226, 230, 231, 232, 287, 301, 382, 388, 429, 537, 569, 588, 589, 612] [38, 48, 59, 150, 166, 206, 227, 231, 232, 233, 288, 302, 383, 389, 430, 538, 570, 589, 590, 613] [39, 49, 60, 151, 167, 207, 228, 232, 233, 234, 289, 303, 384, 390, 431, 539, 571, 590, 591, 614] [40, 50, 61, 152, 168, 208, 229, 233, 234, 235, 290, 304, 385, 391, 432, 540, 572, 591, 592, 615] [41, 51, 62, 153, 169, 209, 230, 234, 235, 236, 291, 305, 386, 392, 433, 541, 573, 592, 593, 616] [42, 52, 63, 154, 170, 210, 231, 235, 236, 237, 292, 306, 387, 393, 434, 542, 574, 593, 594, 617] [43, 53, 64, 155, 171, 211, 232, 236, 237, 238, 293, 307, 388, 394, 435, 543, 575, 594, 595, 618] [44, 54, 65, 156, 172, 212, 233, 237, 238, 239, 294, 308, 389, 395, 436, 544, 576, 595, 596, 619] [45, 55, 66, 157, 173, 213, 234, 238, 239, 240, 295, 309, 390, 396, 437, 545, 577, 596, 597, 620] [46, 56, 67, 158, 174, 214, 235, 239, 240, 241, 296, 310, 391, 397, 438, 546, 578, 597, 598, 621] [47, 57, 68, 159, 175, 215, 236, 240, 241, 242, 297, 311, 392, 398, 439, 547, 579, 598, 599, 622] [48, 58, 69, 160, 176, 216, 237, 241, 242, 243, 298, 312, 393, 399, 440, 548, 580, 599, 600, 623] [49, 59, 70, 161, 177, 217, 238, 242, 243, 244, 299, 313, 394, 400, 441, 549, 581, 600, 601, 624] [50, 60, 71, 162, 178, 218, 239, 243, 244, 245, 300, 314, 395, 401, 442, 550, 582, 601, 602, 625] [51, 61, 72, 163, 179, 219, 240, 244, 245, 246, 301, 315, 396, 402, 443, 551, 583, 602, 603, 626] [52, 62, 73, 164, 180, 220, 241, 245, 246, 247, 302, 316, 397, 403, 444, 552, 584, 603, 604, 627] [53, 63, 74, 165, 181, 221, 242, 246, 247, 248, 303, 317, 398, 404, 445, 553, 585, 604, 605, 628] [54, 64, 75, 166, 182, 222, 243, 247, 248, 249, 304, 318, 399, 405, 446, 554, 586, 605, 606, 629] [55, 65, 76, 167, 183, 223, 244, 248, 249, 250, 305, 319, 400, 406, 447, 555, 587, 606, 607, 630] [56, 66, 77, 168, 184, 224, 245, 249, 250, 251, 306, 320, 401, 407, 448, 556, 588, 607, 608, 631] [57, 67, 78, 169, 185, 225, 246, 250, 251, 252, 307, 321, 402, 408, 449, 557, 589, 608, 609, 632] [58, 68, 79, 170, 186, 226, 247, 251, 252, 253, 308, 322, 403, 409, 450, 558, 590, 609, 610, 633] [59, 69, 80, 171, 187, 227, 248, 252, 253, 254, 309, 323, 404, 410, 451, 559, 591, 610, 611, 634] [60, 70, 81, 172, 188, 228, 249, 253, 254, 255, 310, 324, 405, 411, 452, 560, 592, 611, 612, 635] [61, 71, 82, 173, 189, 229, 250, 254, 255, 256, 311, 325, 406, 412, 453, 561, 593, 612, 613, 636] [62, 72, 83, 174, 190, 230, 251, 255, 256, 257, 312, 326, 407, 413, 454, 562, 594, 613, 614, 637] [63, 73, 84, 175, 191, 231, 252, 256, 257, 258, 313, 327, 408, 414, 455, 563, 595, 614, 615, 638] [64, 74, 85, 176, 192, 232, 253, 257, 258, 259, 314, 328, 409, 415, 456, 564, 596, 615, 616, 639] [65, 75, 86, 177, 193, 233, 254, 258, 259, 260, 315, 329, 410, 416, 457, 565, 597, 616, 617, 640] [66, 76, 87, 178, 194, 234, 255, 259, 260, 261, 316, 330, 411, 417, 458, 566, 598, 617, 618, 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624] [4, 20, 60, 81, 85, 86, 87, 142, 156, 233, 243, 254, 392, 424, 443, 444, 467, 578, 584, 625] [5, 21, 61, 82, 86, 87, 88, 143, 157, 234, 244, 255, 393, 425, 444, 445, 468, 579, 585, 626] [6, 22, 62, 83, 87, 88, 89, 144, 158, 235, 245, 256, 394, 426, 445, 446, 469, 580, 586, 627] [7, 23, 63, 84, 88, 89, 90, 145, 159, 236, 246, 257, 395, 427, 446, 447, 470, 581, 587, 628] [8, 24, 64, 85, 89, 90, 91, 146, 160, 237, 247, 258, 396, 428, 447, 448, 471, 582, 588, 629] [9, 25, 65, 86, 90, 91, 92, 147, 161, 238, 248, 259, 397, 429, 448, 449, 472, 583, 589, 630] [10, 26, 66, 87, 91, 92, 93, 148, 162, 239, 249, 260, 398, 430, 449, 450, 473, 584, 590, 631] [11, 27, 67, 88, 92, 93, 94, 149, 163, 240, 250, 261, 399, 431, 450, 451, 474, 585, 591, 632] [12, 28, 68, 89, 93, 94, 95, 150, 164, 241, 251, 262, 400, 432, 451, 452, 475, 586, 592, 633] [13, 29, 69, 90, 94, 95, 96, 151, 165, 242, 252, 263, 401, 433, 452, 453, 476, 587, 593, 634] [14, 30, 70, 91, 95, 96, 97, 152, 166, 243, 253, 264, 402, 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Code ID 682-62-100 · download JSON · raw on GitHub