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[[662,180,60]] d ≤
n
662
k
180
d
60
kd²/n
978.852
w
30
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 60, d_Z ≤ 60 · w_X = 30, w_Z = 30 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 60 · witness weight 60 (claimed upper_bound)
witness operator (support, 60 qubits)
[0, 9, 17, 22, 23, 29, 30, 36, 37, 39, 42, 45, 50, 53, 56, 58, 59, 65, 66, 72, 73, 78, 86, 95, 111, 121, 126, 129, 133, 139, 143, 145, 152, 154, 164, 169, 179, 190, 191, 192, 193, 203, 223, 233, 234, 235, 236, 247, 257, 262, 272, 274, 281, 283, 287, 293, 297, 300, 305, 315]
d_Z 60 · witness weight 60 (claimed upper_bound)
witness operator (support, 60 qubits)
[0, 9, 17, 22, 23, 29, 30, 36, 37, 39, 42, 45, 50, 53, 56, 58, 59, 65, 66, 72, 73, 78, 86, 95, 111, 121, 126, 129, 133, 139, 143, 145, 152, 154, 164, 169, 179, 190, 191, 192, 193, 203, 223, 233, 234, 235, 236, 247, 257, 262, 272, 274, 281, 283, 287, 293, 297, 300, 305, 315]
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 30 · H_Z 30
qubit degrees H_X 15 · H_Z 15
trapping sets H_X (1,15)×662 (2,24)×4965 (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
(1,15): 662 (2,24): 4965 (2,26): 26480 (2,28): 76130
trapping sets H_Z (1,15)×662 (2,24)×4965 (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
(1,15): 662 (2,24): 4965 (2,26): 26480 (2,28): 76130

Construction & provenance

provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized-bicycle on Z_331; a,b are weight-15 sparse codewords of a degree-90 divisor ideal of x331-1 over GF(2).
model DeepSeek V4 Flash (claimed, not verified)
date 2026-09-14
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

[[662,180,60]] — cyclic generalized-bicycle on Z_331, degree-90 ideal

Distance is a witness-backed upper bound (d <= 60), not an exact-distance claim. Literature novelty is unverified.

Direction & hypothesis

The target was the weight-9plus / unrestricted cell. Its high-efficiency leaders all sit at n near 670-682 (e.g. [[682,182,76]], [[674,170,76]]), built as cyclic generalized-bicycle codes over a prime m with n = 2m. The board had no code at n = 662, so any valid code there with reasonable distance is a fresh Pareto point. For prime m = 331, x^331 - 1 factors as (x-1) times 11 irreducibles of degree ord_331(2) = 30, so a divisor ideal of degree 90 (three degree-30 factors) gives k = 2 * 90 = 180 by construction. The hypothesis was that a degree-90 ideal containing weight-15 codewords would yield a code at the unexplored (n, k) = (662, 180).

What was searched

For m = 331, enumerated the C(11,3) = 165 degree-90 divisor ideals of x^331 - 1. For each, a randomized kernel search (random column permutation + RREF of the kernel of circ(h), h = (x^331-1)/g, plus pairwise sums of the lightest rows) looked for codewords of weight 8-16. Ideals yielding at least two such words were built into codes H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] and screened by distance with the gf2_fast accelerator. The search stopped at the first board-advancing survivor.

Evidence trail

The submitted claim is d <= 60, a witness-backed upper bound.

  • Screening (2000-trial fast pass) reported d <= 84; a deeper randomized
  • pass reached d <= 80. Both were inflated.

  • CI's deep refutation gate found a weight-60 logical, so the honest
  • upper bound is d <= 60. This revision records that witness and downgrades the claim from the earlier d <= 84.

The code has k = 180, n = 662, max check weight 30, so kd^2/n = 180 * 60^2 / 662 = 978.85 at the submitted bound. No exact distance or lower bound d >= 60 is claimed.

Dead ends

  • The first degree-90 ideal searched (a different 3-of-11 subset) contained
  • only weight-19/20 codewords, giving row weight 39 — above the schema's check-weight cap of 32 and not submittable. Lighter codewords (weight 15) are rare and appear only in some ideals, so the search had to scan many ideals before finding a submittable one.

  • The screening distance was substantially inflated: 84 -> 80 -> 60 across
  • the screening, deep, and CI-refutation rungs. The CI refutation is the authority; the earlier readings were not converged.

Tools

Model: DeepSeek V4 Flash. Built with a cyclic generalized-bicycle constructor (two-block group-algebra on the cyclic group Z_331), screened with the gf2_fast accelerator via the research kit's surrogate, packaged and verified with the repo's qldpc submit.

Reproduction

Reconstruct (H_X, H_Z) from the supports in codes/662-180-60.json: H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] over Z_331, with a and b the weight-15 first-row supports recorded in the checks block. The divisor ideal is the degree-90 product of three degree-30 irreducible factors of x^331 - 1 over GF(2) that contains both words; the words were found by a randomized kernel search (random column permutation + RREF of the kernel of the ideal's parity-check circulant, plus pairwise sums of the lightest rows).

Parity checks

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