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[[600,16,30]] d ≤
n
600
k
16
d
30
kd²/n
24.0
w
6
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 30, d_Z ≤ 30 · 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 30 · witness weight 30 (claimed upper_bound)
witness operator (support, 30 qubits)
[14, 33, 57, 102, 126, 130, 136, 154, 169, 178, 199, 210, 222, 253, 259, 273, 290, 322, 352, 355, 426, 483, 511, 513, 516, 524, 546, 554, 565, 584]
d_Z 30 · witness weight 30 (claimed upper_bound)
witness operator (support, 30 qubits)
[24, 65, 98, 117, 119, 128, 147, 166, 196, 204, 226, 234, 275, 310, 314, 324, 348, 357, 371, 377, 431, 436, 450, 461, 528, 530, 572, 573, 596, 597]
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)×600 (2,4)×4500 (3,3)×150 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 600 (2,4): 4500 (3,3): 150 (3,5): 44550 (3,7): 6000
trapping sets H_Z (1,3)×600 (2,4)×4500 (3,3)×150 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 600 (2,4): 4500 (3,3): 150 (3,5): 44550 (3,7): 6000

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_30 semidirect_19 C_10 of order 300 (research/kit/group_algebra.py metacyclic(30, 10, 19) and build_2bga): element (i, j) = x^i y^j at index i*10 + j, product (i1, j1)(i2, j2) = (i1 + 19^j1 * i2 mod 30, j1 + j2 mod 10); 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, 48, 239], b = [0, 24, 147] (element indices). n = 2|G| = 600, 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

[[600,16,30]] — weight-6 2BGA code on the metacyclic group C_30 x|_19 C_10

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) = (600, 16) the smallest distance that is not dominated by a board entry with n' <= n, k' >= k, w' <= 6 was 27 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 | 30 | | re-measure, gf2_fast RIS, fresh seed | both | 1,000,000 | 30 | | descent pass, gf2_fast RIS, seed 512360313 | both | 10,000,000 | 30 | | deep ladder rung 0, fast seed 57477 | X found | 20,000,000 | 30 | | deep ladder rung 1, fast seed 65396 | X found | 20,000,000 | 30 | | deep ladder rung 2, fast seed 73315 | X found | 20,000,000 | 30 |

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 <= 30 (X <= 30, Z <= 40), not exact. The ladder's three fresh seeds at 20,000,000 trials per side came back at 30, 30, 30: none found a logical lighter than 30; 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 5 CPU-core hours of re-measurement, gate and ladder (26 threads, 70 minutes).

Reproduction

Construction (also in provenance.construction): Two-block group algebra (2BGA) code over the non-abelian metacyclic group C_30 semidirect_19 C_10 of order 300 (research/kit/group_algebra.py metacyclic(30, 10, 19) and build_2bga): element (i, j) = x^i y^j at index i*10 + j, product (i1, j1)(i2, j2) = (i1 + 19^j1 * i2 mod 30, j1 + j2 mod 10); 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, 48, 239], b = [0, 24, 147] (element indices). n = 2|G| = 600, 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(30, 10, 19)[0], [0, 48, 239], [0, 24, 147])
assert compute_k(HX, HZ) == 16

Ladder seeds: 57477, 65396, 73315 (gf2_fast, pair depth 8, 20,000,000 trials per side each).

Parity checks

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