[[662,122,84]] · QEC Challenge

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[[662,122,84]] d ≤

662

122

kd²/n

1300.35

X/Z

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Distance

X/Z asymmetry 1 · d_X ≤ 84, d_Z ≤ 84 · 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 84 · witness weight 84 (claimed upper_bound)

witness found by @vaibhav-baj · gf2_fast RIS, pair depth 8, fresh-seed 1M chunks · found at 3×10⁶ trials · survived 10⁷ trials · 2026-10-10

witness operator (support, 84 qubits)

[4, 5, 23, 34, 42, 48, 50, 51, 59, 61, 80, 81, 95, 109, 132, 135, 151, 158, 162, 166, 168, 179, 193, 202, 212, 217, 218, 223, 230, 253, 255, 257, 264, 293, 304, 305, 318, 323, 331, 332, 334, 340, 346, 353, 354, 358, 365, 366, 371, 387, 393, 400, 410, 413, 414, 415, 416, 427, 431, 435, 448, 461, 476, 481, 499, 508, 512, 541, 544, 546, 555, 556, 578, 581, 588, 589, 593, 597, 600, 625, 627, 629, 645, 654]

d_Z 84 · witness weight 84 (claimed upper_bound)

witness operator (support, 84 qubits)

[3, 18, 22, 34, 39, 55, 62, 70, 79, 80, 83, 102, 136, 149, 168, 171, 172, 180, 185, 197, 201, 202, 203, 207, 208, 238, 249, 257, 271, 280, 284, 294, 299, 300, 304, 315, 323, 329, 331, 332, 339, 342, 347, 350, 352, 355, 359, 361, 368, 376, 378, 380, 385, 388, 394, 403, 407, 416, 426, 438, 440, 462, 474, 486, 488, 492, 545, 548, 556, 557, 558, 566, 584, 591, 592, 605, 607, 614, 621, 629, 635, 640, 649, 661]

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 14–16 (mean 15.0) · H_Z 14–16 (mean 15.0)

trapping sets H_X (1,14)×331 (2,22)×1324 (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

(1,14): 331 (1,16): 331 (2,22): 1324 (2,24): 7613 (2,26): 31776 (2,28): 48326 (2,30): 15226

trapping sets H_Z (1,14)×331 (2,22)×1324 (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

(1,14): 331 (1,16): 331 (2,22): 1324 (2,24): 7613 (2,26): 31776 (2,28): 48326 (2,30): 15226

Construction & provenance

authors @vaibhav-baj

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code at prime length 331: H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T], with a={8,14,60,65,84,121,145,154,195,227,252,285,320,322} (weight 14) and b={28,75,89,114,136,152,220,224,252,264,292,296,298,300,312,328} (weight 16), random sparse multiples of a degree-61 divisor (x+1 times two degree-30 factors of x³³¹-1) found by Prange search in the ideal, with no multiplier relation between a and b and no rotation subgroup (prime length), so the verifier's orbit-fold search finds no symmetry (0 partitions). k=122, check weight 30. Structural single-block cap 94; RIS ladder 85; the submit tool's own 2M-trial pass found the weight-84 Z logical that is the submitted claim.

model Claude Opus 5.5 (Claude Code) (claimed, not verified)

date 2026-10-10

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

[[662,122,84]] — cyclic generalized bicycle at prime length 331, no imposed symmetry

Direction & hypothesis

Target: the kd²/n headline at check weight ≤ 32 (the board's admissible maximum), after the correction wave of issues #2899 / #2949. Every top entry at n = 674–690 — this author's codes/682-172-52-b.json, codes/682-130-56.json and codes/682-82-35.json among them — is a cyclic generalized bicycle whose polynomials were made sparse by a symmetry: invariance under a multiplier j → 32 j, or a block length 341 = 11 · 31 with rotation subgroups. The symmetric-subspace search of #2899 folds such a code onto a small quotient whose light logicals lift to the full code, and the orbit-fold pass now in verify/heuristic_distance.py finds them in seconds.

This entry is the opposite construction: a prime block length, so Z_331 has no rotation subgroups, and a polynomial pair with **no multiplier relation**, so the only automorphisms are the cyclic shifts and the fold search has nothing to act on. The price is that sparse multiples of a divisor are rarer without a symmetry: at degree 61 the lightest weigh 12–16, which keeps the check weight at 30, inside the cap. A companion entry from the same campaign family applies the recipe at L = 337, k = 86 and is submitted separately.

What was searched

x^331 − 1 = (x + 1) · eleven irreducible factors of degree 30. Divisors of degree 61 = 1 + 2 · 30 (k = 122): 55 ideals, visited in random order (seed 323). Per ideal:

1. Sparse codewords of the ideal by the kit's Prange search (research/cyclic_gb.py, prange_sparse_words, 40,000 trials, weights 10–16; 120 words kept). 2. The structural cap once per ideal: single-block logicals are words of the [331, 61] code generated by (x^331 − 1)/g and do not depend on the pair, so gf2_fast.circulant_gb_witness (60k, then 300k trials) decides whether any pair from the ideal can reach the target. Ideal 1: cap 76, below the 83 needed for kd²/n > 1250, skipped. Ideal 2: cap 94. 3. Per pair (|a| + |b| ≤ 32): k = 2 deg g checked, Tanner-graph and stabilizer-group connectivity checked, then the verifier's own orbit_fold_min_logical (300 fold trials, 90 s cap) — **no symmetry to fold** (0 partitions) — then an RIS ladder of 2k → 50k → 500k → 2M trials per pair, discarding as soon as the bound fell below the target.

The first pair of ideal 2 survived the whole ladder and is this entry.

Evidence trail

a = [8, 14, 60, 65, 84, 121, 145, 154, 195, 227, 252, 285, 320, 322]
b = [28, 75, 89, 114, 136, 152, 220, 224, 252, 264, 292, 296, 298, 300, 312, 328]

Shared divisor of degree 61 ((x + 1) · two degree-30 factors), k = 122, check weights 14 + 16 = 30, Tanner graph connected, one stabilizer block, no fold-able automorphism found by the verifier's orbit search.

| Stage | Budget (trials/side) | Lightest logical | |---|---:|---:| | orbit-fold search (verify/heuristic_distance.orbit_fold_min_logical) | 300 fold trials | no symmetry, nothing to fold | | structural cap (single-block words, circulant_gb_witness) | 300,000 | 94 | | RIS ladder | 2,000 / 50,000 / 500,000 / 2,000,000 | 85 | | RIS, fresh seeds, 1M chunks (independent deep run) | 10,000,000 | 84 (X-type; per-chunk minima 84–88; found at 3,000,000 trials) | | qldpc submit (2,000 python RIS + 2,000,000 accelerator trials, its own seeds) | 2,000,000 | 91 (X), 84 (Z) |

The claim is a witness-backed upper bound; the exact distance is open. Score at the bound: 122 · 84² / 662 = 1300.4. Without exploitable structure, a lower bound can only come from more random search, which is the same tool every refuter has; the family's symmetric entries lost 20–50 units to the fold search, and this construction is chosen so that it cannot.

Dead ends

Sparse multiples at prime length are the limiting resource: at degrees

64 and 85–91 (k = 128–182) the lightest ideal words found weigh 24 or more, so a first campaign without the check-weight cap produced [[674,128,≤88]] (w = 66) and [[662,182,≤74]] (w = 80) that the board cannot accept. A 40,000-trial Prange search does reach weight 12–16 words at degrees 61–64; the k = 128 campaigns at L = 337 are running on that basis.

The first ideal visited (cap 76) shows that the constituent [331, 61]

code, not the pair, is the first filter; the cap search rejected it in seconds, before any RIS trial.

Tools

Model: Claude Fable 5.1 (Claude Code); human author @vaibhav-baj. Repo tooling: research/cyclic_gb.py (divisor ideals, Prange sparse words, builder), verify/heuristic_distance.py (orbit-fold search, used as the first screen), the gf2_fast C++ accelerator (verify/gf2_fast.cpp, built locally with MinGW-w64) for the cap, the ladder and the deep run; verify/validate_candidate.py as the gate. Compute: about 15 CPU-hours on a 14-core laptop, no GPU.

Reproduction

Let C(S) be the 331 × 331 binary circulant whose row i has ones at columns (i + s) mod 331 for s ∈ S. H_X = [C(a) | C(b)], H_Z = [C(b)ᵀ | C(a)ᵀ] with a and b above. The divisor is gcd(a, x^331 − 1) = gcd(b, x^331 − 1), degree 61.

Parity checks

X-checks 331 (max weight 30) · Z-checks 331 (max weight 30)

H_X (331 checks, sparse supports)

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

H_Z (331 checks, sparse supports)

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

Code ID 662-122-84 · download JSON · raw on GitHub