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[[682,102,90]] d ≤
n
682
k
102
d
90
kd²/n
1211.437
w
22
X/Z
1.02

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Distance

X/Z asymmetry 1.02 · d_X ≤ 90, 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 90 · witness weight 90 (claimed upper_bound)
witness operator (support, 90 qubits)
[5, 7, 16, 20, 24, 26, 30, 42, 56, 69, 80, 88, 105, 109, 122, 124, 125, 134, 137, 149, 161, 163, 186, 208, 213, 220, 221, 225, 233, 234, 235, 264, 268, 269, 272, 280, 281, 295, 296, 317, 324, 326, 330, 341, 350, 360, 362, 370, 385, 402, 406, 412, 413, 417, 419, 430, 432, 437, 459, 461, 465, 467, 470, 478, 492, 493, 495, 510, 511, 521, 549, 551, 552, 554, 556, 571, 572, 574, 589, 591, 616, 621, 632, 635, 647, 655, 658, 665, 675, 676]
d_Z 92 · witness weight 92 (claimed upper_bound)
witness operator (support, 92 qubits)
[5, 7, 16, 27, 38, 39, 43, 53, 57, 63, 70, 73, 75, 83, 95, 103, 104, 110, 119, 137, 156, 165, 166, 174, 184, 193, 220, 222, 236, 238, 240, 266, 269, 279, 299, 304, 305, 308, 311, 312, 314, 315, 319, 324, 325, 326, 329, 342, 343, 350, 351, 355, 369, 378, 380, 381, 392, 406, 411, 417, 418, 420, 422, 425, 445, 447, 456, 465, 468, 493, 500, 512, 513, 516, 528, 545, 554, 556, 561, 573, 588, 596, 599, 604, 615, 639, 649, 653, 657, 669, 672, 674]
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)×341 (2,18)×20119 (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): 341 (1,12): 341 (2,18): 20119 (2,20): 35123 (2,22): 15345
trapping sets H_Z (1,10)×341 (2,18)×20119 (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): 341 (1,12): 341 (2,18): 20119 (2,20): 35123 (2,22): 15345

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) = x46 + x55 + x78 + x83 + x108 + x109 + x213 + x269 + x308 + x337, b(x) = x9 + x21 + x56 + x89 + x190 + x192 + x196 + x261 + x270 + x289 + x295 + x310; 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 51, fixing k = 2 deg gcd(a, b, x^m - 1) = 102.
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 deg gcd(a, b, x^m - 1) = 51 exactly, so the code carries no circulant block wider than k requires. Distance is a witness-backed upper bound from 24 random information-set seeds at 2,000,000 trials each (spread 90-96); an orbit fold over every equal-orbit partition bottoms at 110 and a single-block circulant search at 8 seeds x 600,000 trials finds nothing under 101. 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" ---

[[682,102,90]] — cyclic generalized-bicycle code from a designed divisor ideal

No board entry at any blocklength reaches k >= 102 and d >= 90 together. At n <= 682 with d >= 90 and row weight at most 22 there are six entries, and the largest dimension among them is 42. The nearest high-dimension neighbours sit at [[682,142,82]] with weight 32 and [[662,122,84]] with weight 30, so this code trades dimension for 8 more distance at two thirds the row weight.

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 instead of waited for. Drawing a and b at random and keeping whatever k appears reaches k >= 4 only by luck; building a divisor g of known degree and drawing a, b from its ideal fixes k = 2 deg g on demand. The opening was the high-k, high-d corner at n near 700, where the board's entries all carry row weight 30 or more.

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, so the reachable divisor degrees are the subset sums of that multiset. The divisor is assembled from coset minimal polynomials over GF(2^10) to hit a target degree, and a and b are drawn as low-weight codewords of its ideal by Prange information-set decoding. A sweep over target degrees from 0.04m to 0.30m produced 29 undominated triage rows at 20,000 RIS trials each; the six best were taken to a 24-seed confirmation at 2,000,000 trials per seed.

Four of those six are unsubmittable on row weight alone: schema/code.schema.json caps a check's support list at 32 entries, and they carry 44 to 58. Screening on that cap before spending confirmation time is the cheaper order.

Evidence trail

Divisor degree 51, so k = 102. Both single-block gcds, deg gcd(a, x^m - 1) and deg gcd(b, x^m - 1), equal 51 as well, so neither circulant block carries a kernel wider than k requires.

Confirmation, three independent mechanisms:

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

    • (8,451 s): lightest logical weight 90 on X and 92 on Z, spread 90 to 96 across seeds, median 94.

  • Single-block circulant search, 8 seeds at 600,000 trials: nothing under 101.

    • This matters because 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 and the general search essentially never samples it.

  • 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.

The claim is d = 90, 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 the stated weight, commutes with the opposite checks, and lies outside the rowspace of its own.

Dead ends

A sparse multiplier is the wrong way to use the divisor. Setting a = g u with u of two to four terms gives the target k immediately, but a is then a few shifts of g and inherits its degeneracy: across 32,000 such draws every code came out at distance 4 to 7. Searching for a sparse a inside the ideal of g instead, with the multiplier left dense, is what produces distance.

At m = 257 a draw can also pick up cyclotomic cosets beyond g without changing k, since only the common gcd sets the dimension. Each extra coset widens a single-block kernel, and the resulting codes are the ones a structural search refutes; rejecting them costs two polynomial gcds and 17% of draws. A zero leak is not a guarantee, though. [[682,132,88]] from the same sweep has all three gcds at degree 66 and still carries a validated weight-80 single-block logical, which is why the search runs on every candidate rather than only the leaky ones.

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 for this code ran 8,451 s on 12 cores, so about 28 core-hours; the single-block and fold searches are minutes.

Reproduction

m = 341, n = 682, k = 102.

a(x) = x^46 + x^55 + x^78 + x^83 + x^108 + x^109 + x^213 + x^269 + x^308
     + x^337
b(x) = x^9 + x^21 + x^56 + x^89 + x^190 + x^192 + x^196 + x^261 + x^270
     + x^289 + x^295 + x^310

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/682-102-90.json.

Parity checks

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