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[[504,16,26]] d ≤
n
504
k
16
d
26
kd²/n
21.46
w
6
X/Z
1.08

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Distance

X/Z asymmetry 1.08 · d_X ≤ 26, d_Z ≤ 28 · w_X = 6, w_Z = 6 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 26 · witness weight 26 (claimed upper_bound)
witness operator (support, 26 qubits)
[102, 138, 159, 163, 165, 171, 181, 254, 257, 260, 271, 274, 277, 283, 287, 378, 386, 390, 397, 400, 402, 405, 427, 490, 494, 500]
d_Z 28 · witness weight 28 (claimed upper_bound)
witness operator (support, 28 qubits)
[7, 66, 71, 73, 77, 92, 96, 119, 125, 158, 164, 183, 186, 193, 198, 200, 208, 219, 225, 231, 300, 325, 343, 344, 446, 483, 484, 488]
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 8 · H_Z 8 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 6 · H_Z 6
qubit degrees H_X 3 · H_Z 3
trapping sets H_X (1,3)×504 (2,4)×3780 (3,5)×37800 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 504 (2,4): 3780 (3,5): 37800 (3,7): 5040
trapping sets H_Z (1,3)×504 (2,4)×3780 (3,5)×37800 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 504 (2,4): 3780 (3,5): 37800 (3,7): 5040

Construction & provenance

authors @FarLab
provenance submitted through the challenge
novelty novelty not audited
construction Two-block group algebra (2BGA) code over the non-abelian metacyclic group C_18 semidirect_17 C_14 of order 252 (research/kit/group_algebra.py metacyclic(18, 14, 17) and build_2bga): element (i, j) = x^i y^j at index i*14 + j, product (i1, j1)(i2, j2) = (i1 + 17^j1 * i2 mod 18, j1 + j2 mod 14); H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T] with L, R the left and right regular representations; a = [0, 17, 165], b = [0, 31, 228] (element indices). n = 2|G| = 504, k = 16, check weight 6 = 3+3.
model Claude Claude Fable 5.1 (claimed, not verified)
date 2026-10-17
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight ≤ 6 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

[[504,16,26]] — weight-6 2BGA code on the metacyclic group C_18 x|_17 C_14

Direction & hypothesis

Cell: unrestricted x weight-6 (check weight 6), n band 401 to 600. The weight-6 frontier there is thin at k >= 16: the entries are low-rate (k <= 16, e.g. [[434,16,22]], [[510,16,26]], [[576,12,30]]) or high-rate at small distance ([[540,112,8]], [[600,40,9]]), and k 20 to 60 between d 12 and 28 was empty. The hypothesis: two-block group-algebra codes on non-abelian groups reach k well above what cyclic weight-6 codes give at these lengths without the distance collapse of the high-rate entries. At (n, k) = (504, 16) the smallest distance that is not dominated by a board entry with n' <= n, k' >= k, w' <= 6 was 23 when this was gated.

What was searched

  • Family: two-block group-algebra codes H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T] on the non-abelian metacyclic groups C_p x|_r C_q (r^q = 1 mod p, r != 1) of order 201 to 300 (n = 402 to 600); supports a, b of 3 or 4 elements containing the identity (a -> ga and b -> bg give equivalent codes), drawn at random; k computed exactly in the worker and only k >= 14 screened (about 2 percent of draws).
  • Funnel as for the cyclic sweep: 600 gf2_fast RIS trials (1 thread), promotion to 20,000 and 200,000 trials only while the reading clears the frontier threshold for (n, k, w), then 1,000,000 and 10,000,000 fresh-seed trials and the ladder. A second, weight-6-only run (3+3 supports, k >= 16) used the same funnel.

Evidence trail

Distances are witness-backed upper bounds. Every operator in the table was validated in Python (research/kit/surrogate.validate_logical: commutes with the opposite checks, outside its own row space, weight recounted) before it was recorded; the lightest one is the witness in the code file.

| instrument | side | trials per side | lightest logical | |---|---|---:|---:| | sweep stage 3, gf2_fast RIS (pair depth 8) | both | 200,000 | 26 | | re-measure, gf2_fast RIS, fresh seed | both | 1,000,000 | 26 | | descent pass, gf2_fast RIS, seed 1040963549 | both | 10,000,000 | 26 | | deep ladder rung 0, fast seed 55648 | X found | 10,000,000 | 26 | | deep ladder rung 1, fast seed 63567 | X found | 10,000,000 | 26 | | deep ladder rung 2, fast seed 71486 | X found | 10,000,000 | 26 |

Board gate (verify/validate_candidate.py through research/kit/coordination.py gate_and_record): passed = True, board_advancing = True, labels ['advances the weight-6 x unrestricted board', 'literature novelty UNVERIFIED'].

Claim: witness-backed upper bound d <= 26 (X <= 26, Z <= 30), not exact. The ladder's three fresh seeds at 10,000,000 trials per side came back at 26, 26, 26: none found a logical lighter than 26; verdict corroborated. Literature novelty unverified; board-relative novelty is the gate's (verify/validate_candidate.py) verdict above.

Dead ends

  • Screening inflation at n >= 500. The 200,000-trial readings of the sweep survivors are far from converged at

    • these lengths: a [[584,22]] weight-8 cyclic pair read 85 at 600 trials and 30 at 20,000; a [[504,18]] pair read 52 at 200,000, 42 at 1,000,000 and 2,000,000, and 40 at 20,000,000; a [[600,14]] metacyclic 2BGA read 62 at 2,000,000 and the gate's own pass found 50; a [[546,26]] weight-8 cyclic pair read 43 at 1,000,000, 39 at 20,000,000, and one of three further 20,000,000-trial seeds found 37. Every survivor was therefore re-measured at 1,000,000 and then 10,000,000 (weight 6) or 20,000,000 (weight 8) fresh-seed trials before it was staged.

  • Degenerate divisors (cyclic sweep). A divisor g that is a multiple of x^m' + 1 for a proper m' | m has many

    • weight-4 multiples of the form (1 + x^m')(1 + x^i), and every such pair had d <= 7 at 600 trials (k = 102 to 136 at d 2 to 4 on Z_204, k = 134 at d <= 3 on Z_201); these divisors were excluded from the sweep.

  • Weight-(3,3) cyclic pairs. Enumerated exhaustively for every m in [201, 300]: the connected pairs with k 14 to 16

    • read d 22 to 26 at 200,000 trials, tying or trailing [[420,14,22]], [[434,16,22]], [[508,14,24]] and [[510,16,26]]; no cyclic weight-6 pair with k >= 18 cleared its threshold, so the cyclic family does not reach the empty k 20 to 60 region of the weight-6 cell.

  • Random 2BGA on metacyclic groups of order 201 to 300: k = 0 in 49 percent of 400,000 draws (3+3, 3+4, 4+4

    • supports) and k >= 14 in about 2 percent. Weight-6 draws with k = 24 to 32 at n = 504 to 560 (C_p x|_r C_q of order 252 to 280) read only d 12 at 200,000 trials, one above the threshold, and were not pursued; the weight-8 metacyclic survivors read 39 to 74 at 200,000 trials, readings the deeper passes cut sharply wherever they were re-measured (first item).

Tools

Model: Claude Fable 5.1 (Claude Code), matching provenance.model; one agent of a ten-agent frontier campaign, running on a Brev n2d-highcpu-64 box with gf2_fast (verify/) at 24 to 60 threads. Kit modules: research/kit/gf2poly.py (cyclic_gb, factor_squarefree, designed_k), research/kit/group_algebra.py (metacyclic, build_2bga), research/kit/surrogate.py (distance_rand_witness, pair depth 8), research/kit/prescreen.py (block_structure), research/kit/submit.py (make_submission, save_submission), research/kit/coordination.py (gate_and_record over verify/validate_candidate.py). The sweep driver was a session script drawing the random supports described above (method stated in full in "What was searched" so it can be rewritten). Compute: about 33 CPU-core hours for the two metacyclic 2BGA sweeps (16 worker processes for 90 minutes, then a weight-6-only run with 12 workers for 46 minutes) plus about 3 CPU-core hours of re-measurement, gate and ladder (26 threads, 55 minutes).

Reproduction

Construction (also in provenance.construction): Two-block group algebra (2BGA) code over the non-abelian metacyclic group C_18 semidirect_17 C_14 of order 252 (research/kit/group_algebra.py metacyclic(18, 14, 17) and build_2bga): element (i, j) = x^i y^j at index i*14 + j, product (i1, j1)(i2, j2) = (i1 + 17^j1 * i2 mod 18, j1 + j2 mod 14); H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T] with L, R the left and right regular representations; a = [0, 17, 165], b = [0, 31, 228] (element indices). n = 2|G| = 504, k = 16, check weight 6 = 3+3.

import sys; sys.path[:0] = ['research/kit', 'verify']
from group_algebra import metacyclic, build_2bga
from css import compute_k
HX, HZ = build_2bga(metacyclic(18, 14, 17)[0], [0, 17, 165], [0, 31, 228])
assert compute_k(HX, HZ) == 16

Ladder seeds: 55648, 63567, 71486 (gf2_fast, pair depth 8, 10,000,000 trials per side each).

Parity checks

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