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[[674,86,91]] d ≤
n
674
k
86
d
91
kd²/n
1056.626
w
22
X/Z
1.01

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Distance

X/Z asymmetry 1.01 · d_X ≤ 91, d_Z ≤ 92 · w_X = 22, w_Z = 22 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 91 · witness weight 91 (claimed upper_bound)
witness operator (support, 91 qubits)
[7, 17, 19, 25, 26, 35, 41, 45, 47, 64, 71, 78, 88, 109, 113, 116, 118, 120, 127, 131, 136, 137, 141, 148, 159, 160, 164, 174, 187, 190, 197, 199, 206, 214, 219, 227, 254, 255, 264, 274, 298, 314, 326, 329, 335, 338, 340, 348, 350, 362, 364, 379, 403, 412, 417, 429, 441, 452, 457, 463, 471, 478, 494, 500, 509, 510, 520, 521, 539, 549, 551, 554, 558, 562, 567, 569, 576, 577, 607, 616, 648, 649, 651, 654, 656, 657, 659, 660, 663, 668, 673]
d_Z 92 · witness weight 92 (claimed upper_bound)
witness operator (support, 92 qubits)
[0, 6, 21, 27, 34, 45, 47, 54, 70, 81, 83, 99, 111, 121, 122, 130, 142, 152, 158, 170, 174, 176, 178, 187, 192, 212, 229, 235, 245, 251, 254, 262, 267, 272, 286, 300, 304, 313, 315, 324, 325, 340, 344, 345, 366, 368, 372, 374, 376, 389, 390, 398, 402, 406, 408, 411, 412, 413, 419, 448, 449, 461, 464, 473, 478, 492, 494, 495, 497, 498, 509, 512, 515, 519, 526, 528, 546, 548, 570, 571, 574, 576, 597, 622, 626, 631, 653, 654, 665, 667, 670, 673]
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 22 · H_Z 22
qubit degrees H_X 10–12 (mean 11.0) · H_Z 10–12 (mean 11.0)
trapping sets H_X (1,10)×337 (2,14)×337 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,10): 337 (1,12): 337 (2,14): 337 (2,16): 2359 (2,18): 14491 (2,20): 33700 (2,22): 15839
trapping sets H_Z (1,10)×337 (2,14)×337 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,10): 337 (1,12): 337 (2,14): 337 (2,16): 2359 (2,18): 14491 (2,20): 33700 (2,22): 15839

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized-bicycle code on the ring x337 - 1 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Both a and b lie in the ideal generated by a divisor of x337 - 1 whose degree fixes k = 2 deg gcd(a, b, x337 - 1).
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-14
notes m = 337 is prime with ord_2(m) = 21, so the only proper divisor of m is 1 and every quotient fold is vacuous: the ceiling (m/t) d_t that binds a composite modulus does not exist here. That leaves two mechanisms. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. The single-block logicals of H_X form the cyclic code of dimension deg g whose zeros are the residues the divisor leaves out, and the coset subset is chosen among those reachable at the target degree to maximise the longest run of consecutive residues among them, which is what the Bose-Chaudhuri-Hocquenghem bound reads; a direct search confined to one circulant block at 12 seeds of 600,000 trials confirms it. The distance is a witness-backed upper bound from a 24-seed gate at 2,000,000 information-set trials per seed.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

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

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

[[674,86,91]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 337

At row weight 22 or lighter, the best distance on the board with n <= 674 and k >= 86 is 58, at [[514,96,58]] and row weight 22. This entry reaches 91. Allowing any row weight, the board's best in the same n and k range is 93, at [[674,86,93]] and row weight 26.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension follows from a polynomial gcd and can be set rather than waited for: build a divisor g of chosen degree and draw a and b as low-weight codewords of its ideal. Two mechanisms cap this family from opposite ends. A proper divisor t of m gives a quotient-fold ceiling of (m/t) d_t, which binds at low dimension, and the single-block cyclic code of dimension deg g carries a light logical inside one circulant block at high dimension. Degree 43 sits where both are weak here.

What was searched

m = 337 with ord_2(337) = 21, so the cyclotomic cosets of x^337 - 1 over GF(2) number 17 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 3 cosets of total degree 43, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

The divisor carries the root-1 coset, so both polynomial weights are even by construction and (x + 1) divides the common gcd by design rather than by accident. Here a has weight 12 and b has weight 10.

Evidence trail

deg gcd(a, x^337 - 1) = 43, deg gcd(b, x^337 - 1) = 43 and deg gcd(a, b, x^337 - 1) = 43, so the leak between the single-block kernels and k is 0.

A 24-seed gate at 2,000,000 information-set trials per seed settled at 91. The per-seed spread: 1 seed found 91, 3 seeds found 92, 2 seeds found 93, 4 seeds found 94, 6 seeds found 95, 4 seeds found 96, 4 seeds found 97, 1 seed found 98. The single-block logicals form the cyclic code of dimension 43 whose zeros are the 294 residues the divisor leaves out; the longest run of consecutive residues among them is 56, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 57 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 105. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim.

The claim is a witness-backed upper bound, not certified. Both witnesses are in the submitted JSON, commute with the opposite check matrix and lie outside its row space; the X witness weighs 91 and the Z witness weighs 92, and the claim is the lighter of the two.

Dead ends

  • Nothing else from this front survived its gate.
  • Degree 43 at this modulus has a longest unpicked run of 57 against a cell threshold of 59, so the single-block mechanism alone could put a candidate here under its own domination threshold. A circulant search at 12 seeds of 600,000 trials found nothing below 105 in the best degree-43 draw: the run bounds what the block can take away, not what it does.
  • The claim started at 92, the minimum of a 24-seed gate at 2,000,000 trials per seed that three seeds reached. A single run of 8,000,000 trials, matching the refutation gate depth, read 95 and agreed. A single run of 32,000,000 found a weight-91 logical, and that witness is the one carried here. A sibling at degree 42 and the same row weight was filed at 94 and refuted by the gate at 92 after an identical 24-seed spread, which is why the deeper runs are made before filing rather than after.
  • Design points at this modulus were ranked by the run of the run-maximising coset pick rather than by row yield: 120 at degree 21, 113 at 22, 70 at 42, 58 at 63, 51 at 64 and 41 at 85.

The triage reading for this pair was 101, against a gated 91. Every member of this front moved the same way, which is why all of them were gated rather than filed off the sweep.

Tools

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

Reproduction

m = 337, n = 2m = 674. With a = {16, 23, 59, 74, 80, 142, 235, 248, 306, 316, 320, 326} and b = {19, 25, 164, 215, 264, 303, 313, 314, 315, 319} as exponent sets,

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

where circ(s)[i, (i + e) mod m] = 1 for each e in s. The submitted codes/674-86-91.json carries both matrices row by row and both distance witnesses.

Parity checks

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