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[[674,84,92]] d ≤
n
674
k
84
d
92
kd²/n
1054.861
w
18
X/Z
1.02

Share this result

Distance

X/Z asymmetry 1.02 · d_X ≤ 92, d_Z ≤ 94 · w_X = 18, w_Z = 18 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 92 · witness weight 92 (claimed upper_bound)
witness operator (support, 92 qubits)
[3, 5, 19, 25, 36, 41, 42, 48, 50, 51, 53, 57, 58, 81, 88, 92, 94, 96, 100, 103, 113, 135, 155, 172, 173, 181, 194, 195, 201, 204, 206, 209, 212, 214, 224, 235, 238, 249, 253, 264, 284, 295, 300, 306, 307, 318, 333, 334, 344, 374, 376, 406, 411, 415, 424, 426, 431, 447, 448, 455, 463, 464, 483, 484, 487, 499, 500, 508, 511, 517, 527, 530, 538, 552, 562, 566, 571, 578, 579, 583, 585, 610, 621, 627, 637, 652, 655, 667, 668, 669, 670, 673]
d_Z 94 · witness weight 94 (claimed upper_bound)
witness operator (support, 94 qubits)
[0, 2, 4, 7, 16, 21, 25, 27, 28, 31, 41, 52, 59, 61, 65, 82, 87, 88, 89, 91, 101, 105, 110, 119, 124, 133, 163, 172, 179, 192, 199, 203, 209, 213, 216, 230, 244, 246, 252, 265, 274, 275, 279, 289, 293, 298, 305, 317, 329, 334, 344, 357, 367, 368, 374, 376, 403, 407, 411, 418, 444, 447, 452, 458, 464, 468, 471, 477, 481, 487, 491, 507, 508, 523, 535, 548, 556, 570, 580, 583, 584, 597, 607, 608, 614, 627, 631, 637, 644, 646, 654, 665, 668, 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 18 · H_Z 18
qubit degrees H_X 9 · H_Z 9
trapping sets H_X (1,9)×674 (2,14)×3370 (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
(1,9): 674 (2,14): 3370 (2,16): 44821
trapping sets H_Z (1,9)×674 (2,14)×3370 (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
(1,9): 674 (2,14): 3370 (2,16): 44821

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" ---

[[674,84,92]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 337

At row weight 18 or lighter, the best distance on the board with n <= 674 and k >= 84 is 56, at [[674,86,56]] and row weight 16. This entry reaches 92. 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 42 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 2 cosets of total degree 42, 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.

Draws with two even weights are rejected: (x + 1) divides a binary polynomial exactly when its weight is even, so two even weights would add the root-1 coset to the common gcd and land the draw one degree above the target. Here a has weight 9 and b has weight 9.

Evidence trail

deg gcd(a, x^337 - 1) = 42, deg gcd(b, x^337 - 1) = 42 and deg gcd(a, b, x^337 - 1) = 42, 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 92. The per-seed spread: 2 seeds found 92, 6 seeds found 94, 11 seeds found 96, 5 seeds found 98. The single-block logicals form the cyclic code of dimension 42 whose zeros are the 295 residues the divisor leaves out; the longest run of consecutive residues among them is 69, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 70 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 100. 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 92 and the Z witness weighs 94, 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 there 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, so the structure permitted a refutation that did not materialise: the run bounds what the block can take away, not what it does.
  • Degree 63 produces k=168 rather than the 126 its degree implies, because the drawn pair shares a gcd one coset wider than the divisor. Its draws read d=8 at triage and are useless.
  • Design points at this modulus were ranked by the run of the run-maximising coset pick, computable in milliseconds, after row yield had pointed at a structurally weak point elsewhere. The runs here are 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 100, against a gated 92. 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 = {41, 43, 50, 72, 102, 134, 173, 253, 301} and b = {24, 70, 79, 124, 146, 164, 265, 296, 302} 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/674-84-92.json carries both matrices row by row and both distance witnesses.

Parity checks

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