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[[360,10,28]] d ≤
n
360
k
10
d
28
kd²/n
21.778
w
8
X/Z
1.14

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Distance

X/Z asymmetry 1.14 · d_X ≤ 28, d_Z ≤ 32 · w_X = 8, w_Z = 8 (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 upper_bound)
witness operator (support, 28 qubits)
[11, 27, 36, 42, 73, 104, 109, 123, 156, 172, 181, 185, 191, 200, 201, 204, 219, 221, 225, 229, 243, 313, 337, 339, 343, 349, 353, 359]
d_Z 32 · witness weight 32 (claimed upper_bound)
witness operator (support, 32 qubits)
[20, 22, 27, 34, 36, 40, 55, 56, 61, 86, 88, 94, 96, 106, 118, 122, 138, 150, 154, 168, 180, 189, 194, 198, 204, 213, 214, 253, 269, 344, 353, 358]
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 8 · H_Z 8
qubit degrees H_X 4 · H_Z 4
trapping sets H_X (1,4)×360 (2,4)×270 (3,4)×270 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,4): 360 (2,4): 270 (2,6): 4500 (3,4): 270 (3,6): 8640 (3,8): 81540 (3,10): 6930
trapping sets H_Z (1,4)×360 (2,4)×270 (3,4)×270 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,4): 360 (2,4): 270 (2,6): 4500 (3,4): 270 (3,6): 8640 (3,8): 81540 (3,10): 6930

Construction & provenance

authors @shiy1022
provenance submitted through the challenge
novelty novelty not audited
construction Two-block group algebra (2BGA) code over F2[G] with G = Z_30 : Z_6 metacyclic of order 180, the semidirect product with action j: i -> 19^j * i (mod 30); 196 = 1 (mod 30) holds. Elements (i, j) with i in [0,30), j in [0,6) are indexed i*6+j, identity at 0, as built by research/kit/group_algebra.py:metacyclic(30, 6, 19). Supports a = [61, 67, 81, 91] and b = [144, 160, 166, 171] as index sets in G. H_X = [L_a | R_b], H_Z = [R_b^T | L_a^T], with L and R the left and right regular representations of F2[G]; CSS commutation holds for any supports because left and right multiplication commute. Both supports have size 4, so every check has weight 8. Found by random support sampling over this family, screened with the repo's RIS surrogate (research/kit/surrogate.py) and confirmed on a rising-depth ladder under seeds independent of the one that produced it at 5M trials/side.
model Claude Claude Opus 5 (claimed, not verified)
date 2026-09-06
notes Equivalence and literature checks were run before submission. verify/validate_candidate.py reports no exact-fingerprint duplicate and no WL-signature-equivalent entry on the board. Independently checked against the published non-abelian 2BGA enumeration of arXiv:2306.16400 (Lin & Pryadko, Phys. Rev. A 109, 022407; codes at github.com/QEC-pages/2BGA-codes, nonabelian.zip, 71051 rows parsed): no published row dominates this code on all of (n, k, d, W). At n = 360 the code lies beyond that enumeration's n <= 200 range, so its completeness result does not speak to this code either way; novelty against the wider literature remains unverified.
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

[[360,10,28]] — two-block group algebra on Z_30 : Z_6 with r = 19 (order 180)

Direction & hypothesis

Target cell: weight-8 x unrestricted. The board's weight-8 cell is led on efficiency by high-rate codes (best kd^2/n ~ 124.5), but its **low-k, high-distance corner at moderate n is thinly populated** — the Pareto frontier there runs over (n, k, d, w) jointly, so a code can join it by filling an empty corner without leading on kd^2/n. This code sits at kd^2/n = 21.778, well below the cell leader, and advances the cell on that basis rather than on score. 2BGA on non-abelian groups was chosen because left and right multiplication in the group algebra commute, so CSS holds for any choice of supports, making the whole family admissible without a validity filter.

What was searched

sample_metacyclic(800, order_range=(60,200), weight=4, seed=0) from research/kit/search.py -- 800 candidates on metacyclic groups Z_n : Z_k with r^k = 1 mod n (order nk, block n_code = 2nk), random supports of 4 distinct elements per side. Screened in two passes: every candidate capped at 20k RIS trials and ranked by kd^2/n read off that depth (sound as a ranking key because the surrogate can only over-rate), then a fixed confirmation budget of 12 spent on the top of the list. 7 confirmed, 5 advanced a frontier. 800 draws in 949 s, against a projected ~9 h for confirming each candidate independently.

Evidence trail

Rising-depth confirmation (1M/2M/5M/10M @ seed 4242), re-run under a seed different from the one that produced the candidate:

| rung | 1 | 2 | 3 | 4 | |---|---|---|---|---| | lightest logical | 28 | 28 | 28 | 28 |

Flat at every rung.

The packaged witness was then tightened by a deeper per-side search (gf2_fast.distance_rand_witness, 2M trials x 4 seeds): X 30 -> 28. The NumPy witness extraction in submit.make_submission runs at a depth that under-finds on codes this size, so packaging without this step would have claimed a distance we had ourselves already refuted.

Per-side upper bounds as submitted: d_X <= 28, d_Z <= 32, so d <= 28. The per-side asymmetry is an artifact of the search, not evidence about the heavier side: distance_rand_witness reports only its better side, so the other side's value comes from the shallow packaging pass and is loose. The claim is the minimum, which is a valid upper bound either way.

Final claim: d <= 28, a witness-backed upper bound. Not exact — no integer program was run, and at this block length certification is not expected to terminate. Advances the weight-8 x unrestricted board cell.

Literature check

The gate dedups against this board only, and TRACKS.md notes the on-board frontier is repo-local — it lists the two-block group-algebra database of arXiv:2306.16400 (Lin & Pryadko, Phys. Rev. A 109, 022407) as not yet seeded. That paper enumerates the optimal parameters of ALL inequivalent connected 2BGA codes of stabilizer weight W <= 8 up to n <= 200 for non-abelian groups, which is exactly this construction family, so it is the binding prior art here. Its codes are published at github.com/QEC-pages/2BGA-codes @ the nonabelian.zip archive.

All 71,051 non-abelian rows were parsed and checked for weak dominance over this code (published better-or-equal on every one of n, k, d and W). **No published row dominates it**, and at n = 360 it lies beyond their enumerated range (n <= 200), so their completeness result does not speak to it either way. This is evidence of novelty against the strongest available catalogue for the family, not a proof of novelty: the 2BGA literature past n = 200, and other constructions reaching these parameters, remain unchecked.

The same check removed a sibling candidate: [[176,6,18]] from this campaign is strictly dominated by the published [[176,6,19]] (order-88 group, W = 8, diswtnonabelian_wt8wtL4_order88_k6.txt), so it was dropped despite advancing this board and passing the gate — a concrete case of "advances the board" and "novel" coming apart.

Dead ends

  • Bivariate bicycle, weight-6, n in [50,300]: 488 random draws produced zero

    • candidates worth confirming, and ~90% had k = 0 outright. That cell is deep (best kd^2/n = 22.0).

  • One BB draw, [[96,4,12]], screened as frontier-advancing and passed the gate,

    • but the gate labelled it wl_equivalent_of: 96-4-12.json — a relabelling of a code already on the board. Ties on all four Pareto axes are not *strict* dominators, so parameter re-derivations look like finds unless checked separately.

  • [[360,4,34]] from the same metacyclic sweep was refuted: d fell to 32 on a

    • rising ladder and to 30 again under a 4-seed witness search. Three searches, three values; a still-descending value is not a value, so it was held back rather than submitted.

Tools

Claude Opus 5 (Claude Code), driving the repo's own kit: research/kit/search.py samplers, research/kit/surrogate.py RIS with the gf2_fast C++ backend (make fast; ~450x over NumPy on this hardware, and the reason a laptop can run this at all), research/kit/group_algebra.py constructors, research/kit/submit.py packaging, and verify/validate_candidate.py as the gate. research/kit/distance.py BP+OSD was run on one candidate and was the weaker searcher there (found nothing below 28 where RIS found 23), so it corroborates nothing and is not cited as evidence. Compute: one 8-core laptop, a few hours total; screening ran at ~170 candidates/s.

Reproduction

from group_algebra import build_2bga, metacyclic  # research/kit/group_algebra.py
mul, _ = metacyclic(30, 6, 19)
HX, HZ = build_2bga(mul, [67, 61, 81, 91], [144, 166, 160, 171])

Gives n = 360, k = 10 (recomputed over GF(2)), max check weight 8. The distance witnesses are in the submission JSON; the verifier re-checks each support is in ker(H_opposite), outside rowspace(H_own), and of the claimed weight.

Parity checks

X-checks 180 (max weight 8) · Z-checks 180 (max weight 8)
H_X (180 checks, sparse supports)
[11, 95, 125, 141, 200, 206, 216, 231] [6, 90, 120, 142, 196, 279, 325, 345] [7, 91, 121, 143, 202, 208, 218, 233] [8, 92, 122, 138, 192, 281, 327, 347] [9, 93, 123, 139, 198, 204, 220, 229] [10, 94, 124, 140, 194, 277, 329, 343] [29, 59, 75, 125, 206, 212, 222, 237] [24, 54, 76, 120, 202, 285, 331, 351] [25, 55, 77, 121, 208, 214, 224, 239] [26, 56, 72, 122, 198, 287, 333, 353] [27, 57, 73, 123, 204, 210, 226, 235] [28, 58, 74, 124, 200, 283, 335, 349] [9, 59, 143, 173, 212, 218, 228, 243] [10, 54, 138, 168, 208, 291, 337, 357] [11, 55, 139, 169, 214, 220, 230, 245] [6, 56, 140, 170, 204, 293, 339, 359] [7, 57, 141, 171, 210, 216, 232, 241] [8, 58, 142, 172, 206, 289, 341, 355] [77, 107, 123, 173, 218, 224, 234, 249] [72, 102, 124, 168, 183, 214, 297, 343] [73, 103, 125, 169, 220, 226, 236, 251] [74, 104, 120, 170, 185, 210, 299, 345] [75, 105, 121, 171, 216, 222, 238, 247] [76, 106, 122, 172, 181, 212, 295, 347] [11, 41, 57, 107, 224, 230, 240, 255] [6, 36, 58, 102, 189, 220, 303, 349] [7, 37, 59, 103, 226, 232, 242, 257] [8, 38, 54, 104, 191, 216, 305, 351] [9, 39, 55, 105, 222, 228, 244, 253] [10, 40, 56, 106, 187, 218, 301, 353] [41, 125, 155, 171, 230, 236, 246, 261] [36, 120, 150, 172, 195, 226, 309, 355] [37, 121, 151, 173, 232, 238, 248, 263] [38, 122, 152, 168, 197, 222, 311, 357] [39, 123, 153, 169, 228, 234, 250, 259] [40, 124, 154, 170, 193, 224, 307, 359] [59, 89, 105, 155, 236, 242, 252, 267] [54, 84, 106, 150, 181, 201, 232, 315] [55, 85, 107, 151, 238, 244, 254, 269] [56, 86, 102, 152, 183, 203, 228, 317] [57, 87, 103, 153, 234, 240, 256, 265] [58, 88, 104, 154, 185, 199, 230, 313] [23, 39, 89, 173, 242, 248, 258, 273] [18, 40, 84, 168, 187, 207, 238, 321] [19, 41, 85, 169, 244, 250, 260, 275] [20, 36, 86, 170, 189, 209, 234, 323] [21, 37, 87, 171, 240, 246, 262, 271] [22, 38, 88, 172, 191, 205, 236, 319] [23, 107, 137, 153, 248, 254, 264, 279] [18, 102, 132, 154, 193, 213, 244, 327] [19, 103, 133, 155, 250, 256, 266, 281] [20, 104, 134, 150, 195, 215, 240, 329] [21, 105, 135, 151, 246, 252, 268, 277] [22, 106, 136, 152, 197, 211, 242, 325] [41, 71, 87, 137, 254, 260, 270, 285] [36, 66, 88, 132, 199, 219, 250, 333] [37, 67, 89, 133, 256, 262, 272, 287] [38, 68, 84, 134, 201, 221, 246, 335] [39, 69, 85, 135, 252, 258, 274, 283] [40, 70, 86, 136, 203, 217, 248, 331] [5, 21, 71, 155, 260, 266, 276, 291] [0, 22, 66, 150, 205, 225, 256, 339] [1, 23, 67, 151, 262, 268, 278, 293] [2, 18, 68, 152, 207, 227, 252, 341] [3, 19, 69, 153, 258, 264, 280, 289] [4, 20, 70, 154, 209, 223, 254, 337] [5, 89, 119, 135, 266, 272, 282, 297] [0, 84, 114, 136, 211, 231, 262, 345] [1, 85, 115, 137, 268, 274, 284, 299] [2, 86, 116, 132, 213, 233, 258, 347] [3, 87, 117, 133, 264, 270, 286, 295] [4, 88, 118, 134, 215, 229, 260, 343] [23, 53, 69, 119, 272, 278, 288, 303] [18, 48, 70, 114, 217, 237, 268, 351] [19, 49, 71, 115, 274, 280, 290, 305] [20, 50, 66, 116, 219, 239, 264, 353] [21, 51, 67, 117, 270, 276, 292, 301] [22, 52, 68, 118, 221, 235, 266, 349] [3, 53, 137, 167, 278, 284, 294, 309] [4, 48, 132, 162, 223, 243, 274, 357] [5, 49, 133, 163, 280, 286, 296, 311] [0, 50, 134, 164, 225, 245, 270, 359] [1, 51, 135, 165, 276, 282, 298, 307] [2, 52, 136, 166, 227, 241, 272, 355] [71, 101, 117, 167, 284, 290, 300, 315] [66, 96, 118, 162, 183, 229, 249, 280] [67, 97, 119, 163, 286, 292, 302, 317] [68, 98, 114, 164, 185, 231, 251, 276] [69, 99, 115, 165, 282, 288, 304, 313] [70, 100, 116, 166, 181, 233, 247, 278] [5, 35, 51, 101, 290, 296, 306, 321] [0, 30, 52, 96, 189, 235, 255, 286] [1, 31, 53, 97, 292, 298, 308, 323] [2, 32, 48, 98, 191, 237, 257, 282] [3, 33, 49, 99, 288, 294, 310, 319] [4, 34, 50, 100, 187, 239, 253, 284] [35, 119, 149, 165, 296, 302, 312, 327] [30, 114, 144, 166, 195, 241, 261, 292] [31, 115, 145, 167, 298, 304, 314, 329] [32, 116, 146, 162, 197, 243, 263, 288] [33, 117, 147, 163, 294, 300, 316, 325] [34, 118, 148, 164, 193, 245, 259, 290] [53, 83, 99, 149, 302, 308, 318, 333] [48, 78, 100, 144, 201, 247, 267, 298] [49, 79, 101, 145, 304, 310, 320, 335] [50, 80, 96, 146, 203, 249, 269, 294] [51, 81, 97, 147, 300, 306, 322, 331] [52, 82, 98, 148, 199, 251, 265, 296] [17, 33, 83, 167, 308, 314, 324, 339] [12, 34, 78, 162, 207, 253, 273, 304] [13, 35, 79, 163, 310, 316, 326, 341] [14, 30, 80, 164, 209, 255, 275, 300] [15, 31, 81, 165, 306, 312, 328, 337] [16, 32, 82, 166, 205, 257, 271, 302] [17, 101, 131, 147, 314, 320, 330, 345] [12, 96, 126, 148, 213, 259, 279, 310] [13, 97, 127, 149, 316, 322, 332, 347] [14, 98, 128, 144, 215, 261, 281, 306] [15, 99, 129, 145, 312, 318, 334, 343] [16, 100, 130, 146, 211, 263, 277, 308] [35, 65, 81, 131, 320, 326, 336, 351] [30, 60, 82, 126, 219, 265, 285, 316] [31, 61, 83, 127, 322, 328, 338, 353] [32, 62, 78, 128, 221, 267, 287, 312] [33, 63, 79, 129, 318, 324, 340, 349] [34, 64, 80, 130, 217, 269, 283, 314] [15, 65, 149, 179, 326, 332, 342, 357] [16, 60, 144, 174, 225, 271, 291, 322] [17, 61, 145, 175, 328, 334, 344, 359] [12, 62, 146, 176, 227, 273, 293, 318] [13, 63, 147, 177, 324, 330, 346, 355] [14, 64, 148, 178, 223, 275, 289, 320] [83, 113, 129, 179, 183, 332, 338, 348] [78, 108, 130, 174, 231, 277, 297, 328] [79, 109, 131, 175, 185, 334, 340, 350] [80, 110, 126, 176, 233, 279, 299, 324] [81, 111, 127, 177, 181, 330, 336, 352] [82, 112, 128, 178, 229, 281, 295, 326] [17, 47, 63, 113, 189, 338, 344, 354] [12, 42, 64, 108, 237, 283, 303, 334] [13, 43, 65, 109, 191, 340, 346, 356] [14, 44, 60, 110, 239, 285, 305, 330] [15, 45, 61, 111, 187, 336, 342, 358] [16, 46, 62, 112, 235, 287, 301, 332] [47, 131, 161, 177, 180, 195, 344, 350] [42, 126, 156, 178, 243, 289, 309, 340] [43, 127, 157, 179, 182, 197, 346, 352] [44, 128, 158, 174, 245, 291, 311, 336] [45, 129, 159, 175, 184, 193, 342, 348] [46, 130, 160, 176, 241, 293, 307, 338] [65, 95, 111, 161, 186, 201, 350, 356] [60, 90, 112, 156, 249, 295, 315, 346] [61, 91, 113, 157, 188, 203, 352, 358] [62, 92, 108, 158, 251, 297, 317, 342] [63, 93, 109, 159, 190, 199, 348, 354] [64, 94, 110, 160, 247, 299, 313, 344] [29, 45, 95, 179, 182, 192, 207, 356] [24, 46, 90, 174, 255, 301, 321, 352] [25, 47, 91, 175, 184, 194, 209, 358] [26, 42, 92, 176, 257, 303, 323, 348] [27, 43, 93, 177, 180, 196, 205, 354] [28, 44, 94, 178, 253, 305, 319, 350] [29, 113, 143, 159, 182, 188, 198, 213] [24, 108, 138, 160, 261, 307, 327, 358] [25, 109, 139, 161, 184, 190, 200, 215] [26, 110, 140, 156, 263, 309, 329, 354] [27, 111, 141, 157, 180, 186, 202, 211] [28, 112, 142, 158, 259, 311, 325, 356] [47, 77, 93, 143, 188, 194, 204, 219] [42, 72, 94, 138, 184, 267, 313, 333] [43, 73, 95, 139, 190, 196, 206, 221] [44, 74, 90, 140, 180, 269, 315, 335] [45, 75, 91, 141, 186, 192, 208, 217] [46, 76, 92, 142, 182, 265, 317, 331] [11, 27, 77, 161, 194, 200, 210, 225] [6, 28, 72, 156, 190, 273, 319, 339] [7, 29, 73, 157, 196, 202, 212, 227] [8, 24, 74, 158, 186, 275, 321, 341] [9, 25, 75, 159, 192, 198, 214, 223] [10, 26, 76, 160, 188, 271, 323, 337]
H_Z (180 checks, sparse supports)
[144, 160, 166, 171, 241, 247, 261, 271] [23, 37, 89, 136, 242, 248, 262, 272] [146, 156, 162, 173, 243, 249, 263, 273] [19, 39, 85, 132, 244, 250, 258, 274] [148, 158, 164, 169, 245, 251, 259, 275] [21, 41, 87, 134, 240, 246, 260, 270] [150, 166, 172, 177, 181, 195, 205, 355] [29, 43, 95, 142, 182, 196, 206, 356] [152, 162, 168, 179, 183, 197, 207, 357] [25, 45, 91, 138, 184, 192, 208, 358] [154, 164, 170, 175, 185, 193, 209, 359] [27, 47, 93, 140, 180, 194, 204, 354] [3, 156, 172, 178, 289, 295, 309, 319] [35, 49, 101, 148, 290, 296, 310, 320] [5, 158, 168, 174, 291, 297, 311, 321] [31, 51, 97, 144, 292, 298, 306, 322] [1, 160, 170, 176, 293, 299, 307, 323] [33, 53, 99, 146, 288, 294, 308, 318] [4, 9, 162, 178, 223, 229, 243, 253] [41, 55, 107, 154, 224, 230, 244, 254] [0, 11, 164, 174, 225, 231, 245, 255] [37, 57, 103, 150, 226, 232, 240, 256] [2, 7, 166, 176, 227, 233, 241, 257] [39, 59, 105, 152, 222, 228, 242, 252] [4, 10, 15, 168, 187, 337, 343, 357] [47, 61, 113, 160, 188, 338, 344, 358] [0, 6, 17, 170, 189, 339, 345, 359] [43, 63, 109, 156, 190, 340, 346, 354] [2, 8, 13, 172, 191, 341, 347, 355] [45, 65, 111, 158, 186, 336, 342, 356] [10, 16, 21, 174, 271, 277, 291, 301] [53, 67, 119, 166, 272, 278, 292, 302] [6, 12, 23, 176, 273, 279, 293, 303] [49, 69, 115, 162, 274, 280, 288, 304] [8, 14, 19, 178, 275, 281, 289, 305] [51, 71, 117, 164, 270, 276, 290, 300] [0, 16, 22, 27, 205, 211, 225, 235] [59, 73, 125, 172, 206, 212, 226, 236] [2, 12, 18, 29, 207, 213, 227, 237] [55, 75, 121, 168, 208, 214, 222, 238] [4, 14, 20, 25, 209, 215, 223, 239] [57, 77, 123, 170, 204, 210, 224, 234] [6, 22, 28, 33, 319, 325, 339, 349] [65, 79, 131, 178, 320, 326, 340, 350] [8, 18, 24, 35, 321, 327, 341, 351] [61, 81, 127, 174, 322, 328, 336, 352] [10, 20, 26, 31, 323, 329, 337, 353] [63, 83, 129, 176, 318, 324, 338, 348] [12, 28, 34, 39, 253, 259, 273, 283] [4, 71, 85, 137, 254, 260, 274, 284] [14, 24, 30, 41, 255, 261, 275, 285] [0, 67, 87, 133, 256, 262, 270, 286] [16, 26, 32, 37, 257, 263, 271, 287] [2, 69, 89, 135, 252, 258, 272, 282] [18, 34, 40, 45, 187, 193, 207, 217] [10, 77, 91, 143, 188, 194, 208, 218] [20, 30, 36, 47, 189, 195, 209, 219] [6, 73, 93, 139, 190, 196, 204, 220] [22, 32, 38, 43, 191, 197, 205, 221] [8, 75, 95, 141, 186, 192, 206, 216] [24, 40, 46, 51, 301, 307, 321, 331] [16, 83, 97, 149, 302, 308, 322, 332] [26, 36, 42, 53, 303, 309, 323, 333] [12, 79, 99, 145, 304, 310, 318, 334] [28, 38, 44, 49, 305, 311, 319, 335] [14, 81, 101, 147, 300, 306, 320, 330] [30, 46, 52, 57, 235, 241, 255, 265] [22, 89, 103, 155, 236, 242, 256, 266] [32, 42, 48, 59, 237, 243, 257, 267] [18, 85, 105, 151, 238, 244, 252, 268] [34, 44, 50, 55, 239, 245, 253, 269] [20, 87, 107, 153, 234, 240, 254, 264] [36, 52, 58, 63, 189, 199, 349, 355] [28, 95, 109, 161, 190, 200, 350, 356] [38, 48, 54, 65, 191, 201, 351, 357] [24, 91, 111, 157, 186, 202, 352, 358] [40, 50, 56, 61, 187, 203, 353, 359] [26, 93, 113, 159, 188, 198, 348, 354] [42, 58, 64, 69, 283, 289, 303, 313] [34, 101, 115, 167, 284, 290, 304, 314] [44, 54, 60, 71, 285, 291, 305, 315] [30, 97, 117, 163, 286, 292, 300, 316] [46, 56, 62, 67, 287, 293, 301, 317] [32, 99, 119, 165, 282, 288, 302, 312] [48, 64, 70, 75, 217, 223, 237, 247] [40, 107, 121, 173, 218, 224, 238, 248] [50, 60, 66, 77, 219, 225, 239, 249] [36, 103, 123, 169, 220, 226, 234, 250] [52, 62, 68, 73, 221, 227, 235, 251] [38, 105, 125, 171, 216, 222, 236, 246] [54, 70, 76, 81, 181, 331, 337, 351] [46, 113, 127, 179, 182, 332, 338, 352] [56, 66, 72, 83, 183, 333, 339, 353] [42, 109, 129, 175, 184, 334, 340, 348] [58, 68, 74, 79, 185, 335, 341, 349] [44, 111, 131, 177, 180, 330, 336, 350] [60, 76, 82, 87, 265, 271, 285, 295] [5, 52, 119, 133, 266, 272, 286, 296] [62, 72, 78, 89, 267, 273, 287, 297] [1, 48, 115, 135, 268, 274, 282, 298] [64, 74, 80, 85, 269, 275, 283, 299] [3, 50, 117, 137, 264, 270, 284, 294] [66, 82, 88, 93, 199, 205, 219, 229] [11, 58, 125, 139, 200, 206, 220, 230] [68, 78, 84, 95, 201, 207, 221, 231] [7, 54, 121, 141, 202, 208, 216, 232] [70, 80, 86, 91, 203, 209, 217, 233] [9, 56, 123, 143, 198, 204, 218, 228] [72, 88, 94, 99, 313, 319, 333, 343] [17, 64, 131, 145, 314, 320, 334, 344] [74, 84, 90, 101, 315, 321, 335, 345] [13, 60, 127, 147, 316, 322, 330, 346] [76, 86, 92, 97, 317, 323, 331, 347] [15, 62, 129, 149, 312, 318, 332, 342] [78, 94, 100, 105, 247, 253, 267, 277] [23, 70, 137, 151, 248, 254, 268, 278] [80, 90, 96, 107, 249, 255, 269, 279] [19, 66, 133, 153, 250, 256, 264, 280] [82, 92, 98, 103, 251, 257, 265, 281] [21, 68, 135, 155, 246, 252, 266, 276] [84, 100, 106, 111, 181, 187, 201, 211] [29, 76, 143, 157, 182, 188, 202, 212] [86, 96, 102, 113, 183, 189, 203, 213] [25, 72, 139, 159, 184, 190, 198, 214] [88, 98, 104, 109, 185, 191, 199, 215] [27, 74, 141, 161, 180, 186, 200, 210] [90, 106, 112, 117, 295, 301, 315, 325] [35, 82, 149, 163, 296, 302, 316, 326] [92, 102, 108, 119, 297, 303, 317, 327] [31, 78, 145, 165, 298, 304, 312, 328] [94, 104, 110, 115, 299, 305, 313, 329] [33, 80, 147, 167, 294, 300, 314, 324] [96, 112, 118, 123, 229, 235, 249, 259] [41, 88, 155, 169, 230, 236, 250, 260] [98, 108, 114, 125, 231, 237, 251, 261] [37, 84, 151, 171, 232, 238, 246, 262] [100, 110, 116, 121, 233, 239, 247, 263] [39, 86, 153, 173, 228, 234, 248, 258] [102, 118, 124, 129, 183, 193, 343, 349] [47, 94, 161, 175, 184, 194, 344, 350] [104, 114, 120, 131, 185, 195, 345, 351] [43, 90, 157, 177, 180, 196, 346, 352] [106, 116, 122, 127, 181, 197, 347, 353] [45, 92, 159, 179, 182, 192, 342, 348] [108, 124, 130, 135, 277, 283, 297, 307] [1, 53, 100, 167, 278, 284, 298, 308] [110, 120, 126, 137, 279, 285, 299, 309] [3, 49, 96, 163, 280, 286, 294, 310] [112, 122, 128, 133, 281, 287, 295, 311] [5, 51, 98, 165, 276, 282, 296, 306] [114, 130, 136, 141, 211, 217, 231, 241] [7, 59, 106, 173, 212, 218, 232, 242] [116, 126, 132, 143, 213, 219, 233, 243] [9, 55, 102, 169, 214, 220, 228, 244] [118, 128, 134, 139, 215, 221, 229, 245] [11, 57, 104, 171, 210, 216, 230, 240] [120, 136, 142, 147, 325, 331, 345, 355] [13, 65, 112, 179, 326, 332, 346, 356] [122, 132, 138, 149, 327, 333, 347, 357] [15, 61, 108, 175, 328, 334, 342, 358] [124, 134, 140, 145, 329, 335, 343, 359] [17, 63, 110, 177, 324, 330, 344, 354] [126, 142, 148, 153, 259, 265, 279, 289] [5, 19, 71, 118, 260, 266, 280, 290] [128, 138, 144, 155, 261, 267, 281, 291] [1, 21, 67, 114, 262, 268, 276, 292] [130, 140, 146, 151, 263, 269, 277, 293] [3, 23, 69, 116, 258, 264, 278, 288] [132, 148, 154, 159, 193, 199, 213, 223] [11, 25, 77, 124, 194, 200, 214, 224] [134, 144, 150, 161, 195, 201, 215, 225] [7, 27, 73, 120, 196, 202, 210, 226] [136, 146, 152, 157, 197, 203, 211, 227] [9, 29, 75, 122, 192, 198, 212, 222] [138, 154, 160, 165, 307, 313, 327, 337] [17, 31, 83, 130, 308, 314, 328, 338] [140, 150, 156, 167, 309, 315, 329, 339] [13, 33, 79, 126, 310, 316, 324, 340] [142, 152, 158, 163, 311, 317, 325, 341] [15, 35, 81, 128, 306, 312, 326, 336]
Code ID 360-10-28 · download JSON · raw on GitHub