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[[504,12,28]] d =
n
504
k
12
d
28
kd²/n
18.6667
w
6
X/Z
1

Share this result

Distance

X/Z asymmetry 1 · d_X = 28, 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 28 · witness weight 28 (claimed exact)
witness operator (support, 28 qubits)
[30, 67, 68, 70, 77, 116, 136, 156, 185, 204, 252, 292, 300, 301, 309, 319, 329, 350, 358, 387, 436, 445, 446, 447, 486, 487, 494, 503]
d_Z 28 · witness weight 28 (claimed exact)
witness operator (support, 28 qubits)
[0, 1, 10, 17, 18, 57, 58, 59, 68, 117, 146, 154, 175, 185, 195, 203, 204, 212, 300, 319, 348, 368, 388, 427, 434, 436, 437, 474]
certificate exact, d = 28 · anchored exhaustive search with exclusions, two independent implementations (vsearch_orb.c, cluster2.c; github.com/TimoKellerMath/quantum-error-correction @ 2be467a7bd36, weight6-exact-distances) · level solver: a solver verdict, no artifact a third party can check without re-running the encoding
X: d_X = d_Z by the qubit permutation (block 1, i) -> (block 2, -i), (block 2, i) -> (block 1, -i), which maps the X-check i onto the Z-check -i and the Z-check i onto the X-check -i (Lemma 2.3 of weight6-exact-distances/exact_distances.pdf, checked by weight6-exact-distances/src/codes.py); no search was run on this side; Z: no nontrivial Z-logical operator of weight <= 26 (W = 26); every element of ker H_X has even weight (all column weights 3), so d_Z >= 28. implementation A: 405007548 nodes, 1987 s; implementation B: 5251774293 generated states, 4873 s

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 6 · H_Z 6 (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 (3,3)×504 (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 (3,3): 504 (3,5): 36288 (3,7): 5040
trapping sets H_Z (1,3)×504 (2,4)×3780 (3,3)×504 (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 (3,3): 504 (3,5): 36288 (3,7): 5040

Construction & provenance

authors @TimoKellerMath
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic two-block (generalized bicycle) code over Z_252: H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] with circ(v)[i, (i + j) mod 252] = v[j]; a(x) = 1 + x + x58, b(x) = 1 + x48 + x166. n = 504, k = 12 (= 2 ord_63(2): the code captures one reduced point of order 63, a common zero of a and b in mu_63), check weight 6, qubit degree 6.
model Claude Claude Opus 5.5 (claimed, not verified)
builds on arXiv:1904.02703, arXiv:2306.16400, arXiv:2511.13560
date 2026-11-10
notes Exact distance: d_X = d_Z = 28, proved by an exhaustive anchored search at W = 26 with two independently written programs, the X/Z exchange (block 1, i) <-> (block 2, -i), and the parity of ker H_X; see the research note and certs/504-12-28.json. Novelty: no [[504,12]] entry on the board (commit 8042f9da). Symons, Rajput and Browne (arXiv:2511.13560, Table 1) list a different weight-6 bivariate bicycle code with n = 504, k = 12 and d <= 30 from BP-OSD; by our computation its distance is also 28 (not part of this submission), so the parameters [[504,12,28]] are those of a published code; this entry adds a cyclic construction and the exact distance.
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

[[504,12,28]]: weight-6 cyclic two-block code over Z_252

Direction & hypothesis

Cell: check weight at most 6, unrestricted locality (no layout submitted). A cyclic two-block code whose weight-3 polynomials a, b have a common zero of order N in a field of characteristic 2 captures k = 2 ord_N(2) logical qubits from that Frobenius orbit. Such a pair needs a relation 1 + u + v = 0 with u, v generating the N-th roots of unity, which for odd N <= 600 happens exactly for N in {3, 7, 15, 31, 63, 127, 255, 511, 73, 85, 273, 341, 585}. Hypothesis: on Z/(mN) with m > 1 (twisted covers of the codes on Z/N), the distance grows with m while k stays 2 ord_N(2). Covers of codes are studied by Guémard and Zémor (arXiv:2502.20297) and by Hirasaki and Lee (arXiv:2607.28621), and sequences of covers of bivariate bicycle codes by Symons, Rajput and Browne (arXiv:2511.13560).

What was searched

About 3e4 weight-6 cyclic and abelian two-block codes with one captured reduced point of order N and |G| = mN <= 300, in the families N = 31 (m <= 9), 63 (m <= 4), 73 (m <= 4), 85 (m <= 3), 127 (m <= 2), 255 and 273 (m = 1), 15 and split orders, reduced modulo the symmetries; distances bounded by Lee-Brickell information-set search (3e5 trials for the finalists). For N = 63 (ord_63(2) = 6, so k = 12) and m = 4 the best class is this code: found as a = 1 + x + x^195, b = 1 + x^134 + x^48 on Z/252 and submitted in the equivalent normal form a = 1 + x + x^58, b = 1 + x^48 + x^166 (an automorphism of Z/252 and translations). The same search reproduced the [[254,14,16]], [[340,16,18]] and [[248,10,18]] codes of Liang et al. (arXiv:2503.03827).

Evidence trail

  • k = 12 = 504 - 246 - 246 (ranks over GF(2)).
  • Upper bound: a Z-type logical operator of weight 28 found by the exact search at W = 28; the X-type witness is its image under the X/Z exchange below.
  • Lower bound. The qubit permutation (block 1, i) <-> (block 2, -i) maps the X-check i onto the Z-check -i and the Z-check i onto the X-check -i, so d_X = d_Z. Every column of H_X has weight 3, so every vector of ker H_X has even weight and it suffices to exclude weight at most 26. The anchored search with exclusions (implementation A: pattern anchoring under the cyclic translations; implementation B: one anchor per block) finds no nontrivial Z-logical operator of weight at most 26, in two independently written programs:
  • Z side, implementation A (vsearch_orb): 4.05e8 nodes, 1987 s, nothing found
  • Z side, implementation B (cluster2): 5.25e9 generated states, 4873 s, nothing found
  • Result: d_X = d_Z = 28, exact. The completeness of the search is proved in a short note that comes with both programs, their inputs and logs: github.com/TimoKellerMath/quantum-error-correction @ 2be467a7bd36, weight6-exact-distances/exact_distances.pdf (Theorem 4.1). certs/504-12-28.json records the verdict at level solver.

Dead ends

  • The best codes of the other families: [[510,16,26]] (N = 85, m = 3), equivalent to the earlier board entry 510-16-26 of V. Russo; [[510,16,24]] (N = 255, m = 1); [[508,14,26]] (N = 127, m = 2); [[558,14,28]] (N = 31, m = 9, with a further captured point of order 3, so k = 14 rather than 2 ord_31(2) = 10), with the parameters of the board entry 558-14-28 of V. Russo but not affinely equivalent to it; for N in {31, 73, 85} every code on Z/N itself has d <= 10, so only covers are useful.
  • The weight-6 bivariate bicycle code with n = 504, k = 12 of Symons, Rajput and Browne (arXiv:2511.13560, Table 1, d <= 30 from BP-OSD) has, by our computation, also d = 28; it is not part of this submission.

Tools

Claude Opus 5.5 (Claude Code); Magma for k and witnesses; a Lee-Brickell information-set search in C for the screening; two C programs for the exact search that share no code (implementation B implements Algorithm 1 of Rowshan and Devitt with the additions of Section 3 of exact_distances.pdf, implementation A was written later, from scratch, from a description of Algorithm 1 of exact_distances.pdf and its proof); Python for the instances. The search refines the complete searches of Dumer, Kovalev and Pryadko (arXiv:1611.07164) and Okada and Kasai (arXiv:2607.14091); further ingredients are in Lee et al. (arXiv:2609.30069), J. Y. Lee (arXiv:2610.06820), Cheng, Guo and Pan (arXiv:2611.08247), Rowshan and Devitt (arXiv:2609.39395) and the fieldnote fieldnotes/2026-10-13-bb360-12-exhaustive-d24.md of C. Crocker; Section 3 of exact_distances.pdf says what is taken from where.

Reproduction

H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T] with circ(v)[i, (i + j) mod 252] = v[j], a = 1 + x + x^58, b = 1 + x^48 + x^166. In weight6-exact-distances/ of github.com/TimoKellerMath/quantum-error-correction @ 2be467a7bd36, python3 src/codes.py rebuilds H_X, H_Z and the search instances and make search reruns the certification.

Parity checks

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