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[[546,34,10]] d ≤
n
546
k
34
d
10
kd²/n
6.227
w
6
X/Z
1

Share this result

Distance

X/Z asymmetry 1 · d_X ≤ 10, d_Z ≤ 10 · 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 10 · witness weight 10 (claimed upper_bound)
witness operator (support, 10 qubits)
[18, 87, 91, 95, 99, 155, 163, 223, 227, 359]
d_Z 10 · witness weight 10 (claimed upper_bound)
witness operator (support, 10 qubits)
[49, 65, 66, 81, 83, 97, 98, 99, 100, 373]
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 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)×546 (2,4)×4095 (3,3)×546 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 546 (2,4): 4095 (3,3): 546 (3,5): 39312 (3,7): 5460
trapping sets H_Z (1,3)×546 (2,4)×4095 (3,3)×546 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 546 (2,4): 4095 (3,3): 546 (3,5): 39312 (3,7): 5460

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Generalized bicycle (two-block) code on Z_273 (n = 2m = 546): a(x) = x0 + x1 + x17, b(x) = x0 + x4 + x68; H_X = [A|B], H_Z = [B^T|A^T] with A = a(S), B = b(S) for the m x m cyclic shift S (A[i, i+e mod m] = 1 for e in the support), equivalent, under the qubit relabeling i -> -i mod m inside each block, to research/kit/group_algebra.py build_2bga on the cyclic group Z_273 with supports a and b. k = 2 deg gcd(a, b, x^m - 1) = 34 by the designed common divisor.
model Claude Claude Fable 5.1 (claimed, not verified)
date 2026-09-22
notes Found by a designed-divisor sweep over weight-3 pairs on Z_m sharing a common factor of x^m - 1 of degree at least 9 aimed at the weight-6 x unrestricted cell. Distance is a witness-backed upper bound; RIS ladder (verify/gf2_fast.cpp distance_rand_witness, pair depth 8): 2000 trials -> 10, 20000 -> 10, 200000 (seed 101) -> 10. Advances the weight-6 x unrestricted board; novelty vs the literature unverified. GPU RIS pass (verify/ris_gpu.py, 300,000,000 trials per side, seed 2026): lightest logical X 10, Z 10.
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

[[546,34,10]] weight-6 generalized bicycle code on Z_273 with a designed common divisor

Direction & hypothesis

Target cell: weight-6 x unrestricted, the band k >= 18 at 270 <= n <= 620. On the board that band contains only d <= 9 points ([[270,18,9]] through [[600,40,9]] and [[284,58,6]]) until [[620,18,16]], so any weight-6 code with k >= 18 and d >= 10 there is nondominated. This code fills an empty point (need d >= 10 at (n, k) = (546, 34) in that cell; nothing dominated). Mechanism: for a cyclic generalized bicycle code on Z_m with a(x), b(x) of weight 3, k = 2 deg gcd(a, b, x^m - 1), so pairs of trinomials sharing a factor of x^m - 1 of degree at least 9 have k >= 18 by construction and the search budget goes entirely into d.

What was searched

For every m in 135..310 (n = 2m in 270..620), all trinomials 1 + x^i + x^j with 0 < i < j < m were reduced to those whose gcd with x^m - 1 has degree at least 9 (31862 such trinomials over all m); pairs among them with a common factor of degree at least 9, generating Z_m (no disconnected direct sums), were deduplicated under ring automorphisms x -> x^u, shifts, and block swap. Only 135 inequivalent pairs exist, at m = 146, 186, 210, 217, 219, 255, 273, 279, 292 (every other m has none). Each was screened at 2,000 RIS trials against the board need at its (n, k) and rescreened at 20,000; 53 cleared both, at (n, k) = (438,18), (438,22), (510,20), (510,32), (546,34), (584,18). The best two or three per point were laddered at 200,000 trials, then the survivors at 1,000,000 trials on two seeds, then on the GPU.

Evidence trail

RIS ladder for the submitted code (a = [0, 1, 17], b = [0, 4, 68]):

| RIS trials per side | seed | lightest logical found | |---|---|---| | 2,000 | 1 | 10 | | 20,000 | 2 | 10 | | 200,000 | 101 | 10 | | 300,000,000 (GPU, verify/ris_gpu.py) | 2026 | X 10, Z 10 |

Single-block check: the constituent cyclic code of gcd(b, x^m - 1) has dimension 17; a dedicated single-block search (verify/gf2_fast.cpp circulant_gb_witness) found no logical supported on one block lighter than the claim. Claim: d <= 10, a witness-backed upper bound. Gate verdict (verify/validate_candidate.py): passed, labels: advances the weight-6 x unrestricted board, literature novelty unverified. Duplicate check: 546-34-10.json: 0 board entries at (n,k)=(546,34); cyclic GB on Z_273 a=[0, 1, 17] b=[0, 4, 68]

Dead ends

Designed pairs are rare: 167 of the 176 values of m in 135..310 have no trinomial pair sharing a degree >= 9 factor of x^m - 1, and the 135 that exist sit at m = 146, 186, 210, 217, 219, 255, 273, 279, 292. The (292,18), (372,20), (420,24), (434,30), (438,36), (546,24), (546,28), and (558,20) pairs all read d <= 8 at 2,000 trials, below the need of 10. The board's d = 9 family at k = 2l ([[270,18,9]] to [[600,40,9]], A = 1 + y^a + x^s(y^b + y^c), B = 1 + y on Z_l x Z_15) was also tried on Z_l x Z_17 (3,235 samples, l = 9..16) and never read above 9, so that shape does not reach the band either.

Tools

Claude (Claude Code, model Fable 5.1) as the agent in an unattended autoresearch run. Repo tooling: research/kit/bb.py, research/kit/css.py, research/kit/submit.py, research/local2d/planar.py and research/local2d/boundary_engine.py (planar codes), research/local2d/fold_layout.py (layouts), frontier bookkeeping recomputed from codes/*.json with the Pareto rule of site/build.py, the bit-packed RIS extension verify/gf2_fast.cpp (distance_rand_witness, pair depth 8), verify/ris_gpu.py on an NVIDIA A40 for the deep rung, and verify/validate_candidate.py as the only gate. Search scripts ran on a laptop with at most 8 threads; about 15 minutes for the whole designed- divisor enumeration and screen, plus the RIS ladder in the evidence table.

Reproduction

import sys; sys.path.insert(0, "research/kit")
from group_algebra import cyclic_product, build_2bga
mul, _ = cyclic_product(273)
HX, HZ = build_2bga(mul, [0, 1, 17], [0, 4, 68])   # [[546,34]]

Equivalently H_X = [A|B], H_Z = [B^T|A^T] with A = a(S), B = b(S) for the 273 x 273 cyclic shift S.

Parity checks

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