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[[630,20,70]] d ≤
n
630
k
20
d
70
kd²/n
155.556
w
22
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 70, d_Z ≤ 70 · 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 70 · witness weight 70 (claimed upper_bound)
witness found by @vprusso · norm-lift from quotient x^63 - 1 (cyclic_bounds); ris_gpu 50M null · found at 400 trials · survived 5×107 trials · 2026-09-24
witness operator (support, 70 qubits)
[7, 27, 30, 31, 36, 40, 53, 70, 90, 93, 94, 99, 103, 116, 133, 153, 156, 157, 162, 166, 179, 196, 216, 219, 220, 225, 229, 242, 259, 279, 282, 283, 288, 292, 305, 335, 339, 342, 348, 360, 364, 366, 398, 402, 405, 411, 423, 427, 429, 461, 465, 468, 474, 486, 490, 492, 524, 528, 531, 537, 549, 553, 555, 587, 591, 594, 600, 612, 616, 618]
d_Z 70 · witness weight 70 (claimed upper_bound)
witness found by @vprusso · norm-lift from quotient x^63 - 1 (cyclic_bounds); ris_gpu 50M null · found at 400 trials · survived 5×107 trials · 2026-09-24
witness operator (support, 70 qubits)
[2, 8, 11, 15, 47, 49, 53, 65, 71, 74, 78, 110, 112, 116, 128, 134, 137, 141, 173, 175, 179, 191, 197, 200, 204, 236, 238, 242, 254, 260, 263, 267, 299, 301, 305, 319, 320, 323, 343, 360, 373, 377, 382, 383, 386, 406, 423, 436, 440, 445, 446, 449, 469, 486, 499, 503, 508, 509, 512, 532, 549, 562, 566, 571, 572, 575, 595, 612, 625, 629]
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 9–13 (mean 11.0) · H_Z 9–13 (mean 11.0)
trapping sets H_X (1,9)×315 (2,14)×630 (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): 315 (1,13): 315 (2,14): 630 (2,16): 11340 (2,18): 4095 (2,20): 25830 (2,22): 1890 (2,24): 19845
trapping sets H_Z (1,9)×315 (2,14)×630 (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): 315 (1,13): 315 (2,14): 630 (2,16): 11340 (2,18): 4095 (2,20): 25830 (2,22): 1890 (2,24): 19845

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x315 - 1 with a(x) = x13 + x45 + x56 + x80 + x143 + x165 + x187 + x303 + x309, b(x) = x32 + x36 + x80 + x97 + x101 + x148 + x157 + x176 + x182 + x202 + x240 + x264 + x265; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].
model Claude Claude Fable 5.1 (Claude Code) (claimed, not verified)
date 2026-09-24
notes Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. The submitted distance 100 was refuted by the verify gate with a weight-84 norm lift from the quotient ring x^15 - 1; the norm lift from x^63 - 1 gives weight-70 logicals on both sides, and 50M GPU RIS trials per side on the full code found nothing lighter than 84 (X) and 90 (Z).
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

[[630,20,70]] weight-22 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 22 cover a wide blocklength range, and the board's coverage of that range is uneven: there are stretches of n where no entry sits near the (k, d) the family can reach. A broad randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work, finds the gaps.

Construction

ring x^315 - 1 a(x) = x^13 + x^45 + x^56 + x^80 + x^143 + x^165 + x^187 + x^303 + x^309 b(x) = x^32 + x^36 + x^80 + x^97 + x^101 + x^148 + x^157 + x^176 + x^182 + x^202 + x^240 + x^264 + x^265 H_X = [circ(a) | circ(b)] H_Z = [circ(b)^T | circ(a)^T]

n = 2m, and k = 2 deg gcd(a, b, x^m - 1), computed by Euclid before any matrix work so that most draws are discarded for free.

What was swept

One loop draws a ring size and a weight split, samples the two sparse polynomials, computes k by Euclid, and runs a cheap 60k-trial distance screen. A draw survives only if the resulting (n, k, d, w) is undominated on the live board snapshot. Surviving draws go through an escalating ladder of 400k, 2M, and 8M random information-set trials, with the board comparison repeated at each rung so a candidate that collapses is dropped as soon as it stops being interesting.

The single-block check

General RIS over all 2m columns is close to blind to a logical supported entirely on one block. Such a vector u satisfies a(x) u(x) = 0 mod x^m - 1, which puts u in the ideal generated by h = (x^m - 1) / gcd(a, x^m - 1), so it can be searched directly in a space of dimension deg h rather than 2m. This matters: a previous submission of mine survived 150M general RIS trials at weight 74 and was then refuted by a weight-64 logical sitting entirely in one block, which the ideal search finds in seconds. Every candidate here is checked that way before the distance is believed, and any candidate whose single-block bound comes in below the ladder is dropped rather than submitted. That check is not enough on its own when m is composite, as the next section records.

The norm-lift quotient bound

This code was submitted at distance 100 and the verify gate refuted it with a weight-84 X logical. That logical is a norm lift: for a divisor m' of m, reducing the exponents of a and b mod m' gives the quotient GB code over Z_{m'}, and if (u | v) is in the kernel of the quotient H_Z then

N(x) (u | v), N(x) = 1 + x^{m'} + x^{2m'} + ... + x^{m - m'}

is in the kernel of the full H_Z with weight (m/m') wt(u | v). The gate's witness is the lift of a weight-4 word from x^15 - 1, with factor 21. Running the same construction over every divisor of 315 with an information-set search on each quotient code, the lightest lifts come from x^63 - 1: weight-14 quotient words lift with factor 5 to weight-70 X and Z logicals of the full code, both re-checked directly against H. A deeper quotient search (6000 information-set trials per divisor, 15 times the first pass) found nothing lighter, and 50M GPU random-information-set trials per side on the full code found nothing below weight 84 (X) and 90 (Z). The claimed distance is therefore 70 on each side, set by the quotient bound rather than by general RIS, and the sweep now runs the quotient check alongside the single-block one.

Distance ladder

Witness search runs on each side separately, so a run that happens to find one side cannot leave the other without a witness. Both witnesses are re-checked directly against H: in the kernel of the opposite matrix, and outside the row space of its own.

What it advances

Score kd^2/n = 155.56 at check weight 22. Undominated in its cell under the board's cell rule (n down, k up, d up, check weight down) at the corrected distance: the nearest entries, [[630,28,60]] at weight 22 and [[630,24,90]] at weight 24, each fall short on one axis.

Boundary

The distance is an upper bound from structural and witness search, not a proof. Literature novelty is unverified: cyclic GB codes are a classical family and these parameters may appear in the 2BGA literature.

Parity checks

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