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[[640,322,6]] d =
n
640
k
322
d
6
kd²/n
18.1125
w
8
X/Z
1

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Distance

X/Z asymmetry 1 · d_X = 6, d_Z = 6 · 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 6 · witness weight 6 (claimed exact)
witness operator (support, 6 qubits)
[0, 3, 8, 10, 27, 234]
d_Z 6 · witness weight 6 (claimed exact)
witness operator (support, 6 qubits)
[0, 1, 3, 4, 11, 67]
certificate exact, d = 6 · tropidist b03ec2d4077f (arXiv:2611.08247) exhaustive search · level solver: a solver verdict, no artifact a third party can check without re-running the encoding
X: no logical < 6 exists; Z: no logical < 6 exists

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 12 · H_Z 12 (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 2 · H_Z 2
trapping sets H_X (1,2)×640 (2,2)×4480 (3,2)×31360 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,2): 640 (2,2): 4480 (3,2): 31360 (3,4): 8960
trapping sets H_Z (1,2)×640 (2,2)×4480 (3,2)×31360 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,2): 640 (2,2): 4480 (3,2): 31360 (3,4): 8960

Construction & provenance

authors @TimoKellerMath
provenance submitted through the challenge
novelty new parameter set claimed by submitter
construction Surface code of the orientably-regular map C161.44 of type {8,8} (genus 161) in M. Conder's list of chiral maps of genus 2 to 301, in its mirror image (Conder's relators hold for (r-1, s-1); mirror images give the same code). Rotation group G = <r,s | r8, s8, (r*s)2, s-1*r2*s-1*r-3*s2*r-1*s-2, s2*r-2*s*r-2*s*r-1*s2*r-1> of order 1280. Darts = elements of G (right multiplication), faces = cosets g<r>, vertices = cosets g<s>, edges = cosets g<rs> = {g, grs}. Qubits on the 640 edges, X-checks on the 160 vertices (weight 8), Z-checks on the 160 faces (weight 8), incidences mod 2: H_X and H_Z are the boundary maps of the cellular chain complex over F_2, k = 2 - chi = 322, d_Z is the shortest homologically nontrivial cycle of the map and d_X that of the dual map. Found in a census of regular maps (normal subgroups of the triangle groups <r,s | r^p, s^q, (rs)2>, Magma's LowIndexNormalSubgroups). The qubit order is that of the dart permutations in the public package in the references (data/maps.json), whose src/rebuild.py rebuilds these matrices from them and from the presentation.
model Claude Claude Opus 5.5 (claimed, not verified)
builds on https://arxiv.org/abs/1506.04029, https://www.math.auckland.ac.nz/~conder/ChiralMaps301.txt, https://github.com/TimoKellerMath/quantum-error-correction/tree/2e97a5361e7b9327128baa242bdedd333f7d7e12/hyperbolic-map-codes
date 2026-11-10
notes Exact distance d_X = d_Z = 6: tropidist (arXiv:2611.08247) at the board's pinned commit b03ec2d4077f closes both sides (certs/640-322-6.json, level solver); independently two exact programs for check matrices with column weight 2 and an enumeration of all circuits of length <= 6 (24960 X-type and 24960 Z-type logical operators of weight 6, none lighter), see the research note. Novelty: no board entry with these n and k at commit 8042f9da; parameters not found in Breuckmann and Terhal (arXiv:1506.04029), Breuckmann et al. (arXiv:1703.00590), Breuckmann's thesis (arXiv:1802.01520), Mahmoud and Rayan (arXiv:2610.10948), Breuckmann and Burton (arXiv:2202.06647), Mahmoud, Ali and Rayan (arXiv:2504.07800), the catalogs of QEC-pages (Quantum_LDPC_Codes) and qecdb.org; Conder's lists contain the map, not the code. Equivalence with existing entries: checked, none has these n and k.
family topological (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

[[640,322,6]]: chiral {8,8} surface code, Conder's map C161.44

Direction & hypothesis

Cell: check weight 8, unrestricted locality (no layout submitted). Surface codes of regular maps of type {p,q} on closed hyperbolic surfaces (Breuckmann and Terhal, arXiv:1506.04029) have k = 2 - chi = (1 - 2/p - 2/q) n + 2, so {8,8} maps give k/n close to 1/2 at check weight 8, while the distance is the systole of the map (of the dual map for d_X) and grows only logarithmically in n. At board commit 8042f9da the entries of check weight at most 8 with d = 6 and the largest kd^2/n were the lifted-product codes [[780,318,6]] to [[1000,406,6]], kd^2/n about 14.6. Hypothesis: {8,8} maps whose systoles reach 6 dominate them, at kd^2/n about 18.

What was searched

A census of all regular maps of type {p,q}, 3 <= p,q <= 8, 1/p + 1/q < 1/2, with at most 2000 edges (chiral {8,8} maps up to 1000 edges): the normal subgroups of index 2E of the triangle groups <r,s | r^p, s^q, (rs)^2> in which r, s, rs keep their orders (Magma's LowIndexNormalSubgroups), the non-orientable maps from the extended triangle groups, and 2000 cyclic covers of the orientable maps with n <= 1000 (random voltage classes, seeds recorded). In total 2174 orientable and 340 non-orientable maps (up to duality and mirror image) and 2000 covers, 7063 codes with their X/Z duals, each with exact d_X and d_Z by the programs below. At board commit 8042f9da, 254 parameter points of the census were undominated; we submit nine of them, one per pull request, and left out the points we found in the literature: [[896,386,6]] ({7,7}) and [[960,194,8]] ({5,5}) are data points of Fig. 3.7 of Breuckmann's thesis (arXiv:1802.01520), [[588,254,6]] and [[273,119,5]] are in its Table 3.1. This code is the chiral {8,8} map C161.44 of M. Conder's list (census orientation: its mirror image, same code). It is the only {8,8} map of the census with 640 edges and d = 6, and the smallest {8,8} map with d = 6. Sources checked without finding it: Breuckmann and Terhal (arXiv:1506.04029), Breuckmann et al. (arXiv:1703.00590), Breuckmann's thesis (arXiv:1802.01520), Mahmoud and Rayan (arXiv:2610.10948), Breuckmann and Burton (arXiv:2202.06647), Mahmoud, Ali and Rayan (arXiv:2504.07800), the catalogs of QEC-pages (Quantum_LDPC_Codes) and qecdb.org; Conder's lists contain the maps, not the codes.

Evidence trail

  • k = 322 = 640 - 159 - 159 (ranks over GF(2)) = 2 - chi; H_X H_Z^T = 0; every qubit lies in two X-checks and two Z-checks, so both sides are graph-like (computed).
  • Upper bound: an X-type and a Z-type logical operator of weight 6, in the entry.
  • Lower bound, exact, by four computations: (1) graphlike_A, shortest cycles with logical annotations in F_2^k; (2) graphlike_B, shortest paths in the double covers of the check graph given by the logical operators, written independently; their exactness is proved in github.com/TimoKellerMath/quantum-error-correction @ 2e97a5361e7b9327128baa242bdedd333f7d7e12, hyperbolic-map-codes/src/graphlike_A/NOTES.md and hyperbolic-map-codes/src/graphlike_B/NOTES.md, and they agree on all 7063 census codes; (3) an enumeration of all circuits of length at most 6 with a row-space test: the graph of the map and its dual have no circuit shorter than 6, and all 24960 circuits of length 6 are nontrivial, on both sides; (4) tropidist (Cheng, Guo and Pan, arXiv:2611.08247) at the board's pinned commit b03ec2d4077f, one thread, 600 s limit, on the board's css-sides problems: exact 6 and 6 in 1.4 s and 1.3 s, recorded in certs/640-322-6.json.
  • Final claim: d_X = d_Z = 6, exact (computer-assisted; the four computations agree). 24960 X-type and 24960 Z-type logical operators have weight 6.

Dead ends

  • Within the census no {8,8}, {6,6} or {7,7} map reaches d = 7; d >= 7 occurs only for {3,7}, {4,5}, {4,6} and {5,5} (n <= 2000).
  • Among the 1005 {8,8} maps of the census (up to mirror image), 19 have d = 6 (from n = 640 on) and none more; 937 have d = 2 or 4.

Tools

Claude Opus 5.5 (Claude Code). Magma V2.30 for the census (LowIndexNormalSubgroups, coset actions, the presentations and Conder's names); Python for the map codes; the C programs graphlike_A and graphlike_B and the Python circuit enumeration, all in the public package below; tropidist b03ec2d4077f. The largest Magma run of the census (orientable {6,6} maps, index at most 4000) took 33 CPU minutes; exact distances of all 7063 codes took 46 s with graphlike_A and 76 s with graphlike_B.

Reproduction

G = <r,s | r^8, s^8, (r*s)^2, s^-1*r^2*s^-1*r^-3*s^2*r^-1*s^-2, s^2*r^-2*s*r^-2*s*r^-1*s^2*r^-1> (order 1280); qubits = edges {g, grs}, X-checks = vertices g<s>, Z-checks = faces g<r>, incidences mod 2. In hyperbolic-map-codes/ of github.com/TimoKellerMath/quantum-error-correction @ 2e97a5361e7b: make check runs hyperbolic-map-codes/src/rebuild.py (standard library), which rebuilds these matrices from the stored darts and from the presentation, checks Conder's relators, k and the witnesses; make distances runs graphlike_A, graphlike_B and the circuit enumeration; make tropidist-inputs writes the tropidist problems.

Parity checks

X-checks 160 (max weight 8) · Z-checks 160 (max weight 8)
H_X (160 checks, sparse supports)
[0, 2, 3, 7, 10, 19, 27, 47] [0, 1, 5, 13, 15, 34, 39, 81] [2, 6, 8, 17, 22, 43, 55, 102] [1, 4, 12, 30, 32, 72, 77, 164] [7, 18, 20, 45, 50, 106, 117, 228] [8, 21, 23, 53, 58, 123, 133, 256] [3, 9, 25, 61, 63, 67, 140, 152] [4, 11, 29, 68, 70, 155, 160, 299] [13, 33, 35, 79, 84, 179, 189, 336] [5, 14, 37, 57, 88, 90, 131, 197] [6, 16, 29, 41, 69, 96, 98, 158] [19, 46, 48, 108, 112, 156, 194, 301] [20, 49, 51, 115, 120, 243, 252, 421] [22, 54, 56, 125, 129, 195, 260, 441] [23, 28, 57, 132, 135, 252, 269, 431] [9, 24, 60, 136, 138, 275, 278, 451] [10, 26, 65, 147, 149, 191, 241, 355] [11, 28, 67, 151, 153, 292, 296, 461] [30, 71, 73, 162, 167, 310, 317, 487] [12, 21, 31, 52, 75, 122, 171, 173] [34, 80, 82, 181, 185, 293, 321, 463] [35, 83, 85, 133, 188, 192, 270, 350] [14, 36, 87, 193, 195, 358, 361, 536] [15, 38, 92, 204, 206, 319, 348, 496] [16, 40, 95, 208, 209, 375, 378, 545] [17, 42, 100, 119, 163, 217, 250, 344] [18, 44, 95, 104, 162, 188, 224, 345] [47, 109, 110, 177, 233, 376, 386, 542] [48, 111, 113, 205, 237, 413, 418, 516] [50, 116, 118, 245, 248, 387, 424, 574] [51, 94, 119, 251, 253, 418, 430, 570] [55, 73, 126, 127, 137, 166, 168, 263] [56, 128, 130, 206, 265, 292, 410, 462] [58, 105, 134, 138, 225, 272, 399, 555] [24, 59, 77, 176, 227, 331, 450, 512] [61, 139, 141, 193, 244, 359, 422, 538] [25, 62, 83, 143, 187, 282, 284, 349] [26, 64, 146, 167, 286, 318, 369, 494] [27, 66, 121, 150, 234, 290, 455, 554] [68, 154, 156, 298, 302, 470, 476, 591] [72, 163, 165, 274, 311, 314, 449, 478] [31, 74, 117, 170, 211, 246, 320, 382] [32, 76, 120, 175, 231, 329, 408, 492] [33, 60, 78, 137, 178, 277, 298, 334] [81, 182, 183, 276, 285, 309, 341, 452] [82, 184, 186, 230, 330, 344, 406, 526] [42, 84, 99, 190, 216, 286, 353, 387] [59, 85, 191, 356, 357, 428, 526, 533] [36, 86, 160, 308, 335, 485, 535, 603] [88, 100, 196, 198, 218, 320, 390, 499] [37, 89, 166, 200, 282, 316, 365, 367] [38, 91, 203, 302, 369, 477, 508, 596] [39, 40, 93, 94, 207, 373, 374, 540] [96, 136, 210, 211, 276, 380, 453, 547] [41, 49, 97, 114, 213, 242, 349, 352] [43, 101, 219, 268, 391, 393, 548, 623] [44, 103, 204, 222, 354, 370, 395, 459] [45, 105, 226, 240, 265, 305, 400, 416] [46, 107, 132, 222, 230, 266, 380, 407] [110, 186, 235, 347, 392, 435, 525, 565] [112, 238, 239, 414, 415, 521, 555, 615] [113, 221, 240, 417, 419, 565, 569, 628] [118, 202, 247, 249, 363, 393, 426, 540] [52, 121, 254, 433, 434, 479, 573, 598] [53, 80, 116, 180, 237, 244, 332, 338] [54, 79, 115, 124, 238, 254, 258, 347] [102, 103, 220, 221, 394, 457, 550, 551] [127, 148, 262, 264, 402, 407, 520, 558] [129, 266, 267, 443, 444, 574, 575, 629] [130, 180, 234, 337, 411, 518, 558, 613] [134, 149, 155, 271, 273, 300, 447, 473] [135, 209, 259, 274, 377, 439, 579, 622] [140, 236, 258, 262, 381, 438, 449, 534] [69, 141, 157, 189, 279, 280, 304, 351] [62, 142, 154, 170, 297, 321, 439, 500] [63, 144, 175, 330, 375, 501, 510, 610] [64, 101, 145, 278, 366, 503, 546, 592] [124, 147, 249, 257, 287, 297, 437, 578] [65, 148, 171, 279, 288, 322, 323, 458] [66, 91, 202, 361, 417, 453, 505, 568] [151, 291, 293, 434, 460, 464, 582, 631] [70, 159, 192, 307, 339, 483, 520, 594] [71, 87, 97, 161, 194, 212, 360, 460] [164, 287, 312, 313, 359, 368, 489, 537] [114, 165, 241, 315, 338, 484, 519, 605] [86, 168, 319, 414, 497, 498, 531, 605] [74, 169, 296, 469, 486, 589, 608, 637] [75, 172, 301, 325, 365, 475, 504, 506] [76, 174, 328, 464, 508, 585, 600, 633] [78, 177, 329, 332, 440, 495, 509, 513] [183, 219, 224, 289, 315, 342, 392, 398] [185, 345, 346, 441, 442, 523, 524, 571] [190, 290, 327, 352, 354, 450, 502, 529] [104, 111, 197, 223, 236, 271, 343, 397] [152, 198, 294, 317, 362, 363, 466, 493] [89, 199, 225, 291, 304, 420, 459, 478] [90, 201, 275, 307, 433, 484, 550, 601] [92, 98, 205, 214, 362, 371, 479, 543] [93, 174, 246, 327, 425, 525, 538, 617] [173, 208, 326, 358, 376, 468, 546, 588] [158, 305, 381, 432, 446, 463, 480, 504] [99, 215, 255, 283, 364, 378, 489, 601] [161, 217, 226, 309, 388, 401, 483, 597] [106, 227, 402, 429, 557, 559, 582, 630] [107, 229, 273, 391, 405, 541, 560, 620] [108, 169, 231, 409, 412, 426, 523, 564] [109, 232, 251, 405, 410, 427, 487, 500] [235, 404, 412, 494, 566, 606, 613, 632] [139, 146, 239, 285, 333, 457, 514, 559] [228, 229, 277, 314, 403, 404, 454, 491] [248, 427, 428, 490, 576, 604, 615, 633] [253, 395, 423, 432, 536, 552, 618, 637] [122, 128, 178, 184, 242, 247, 333, 343] [123, 255, 294, 435, 465, 577, 618, 630] [125, 172, 259, 324, 440, 447, 466, 527] [126, 153, 261, 295, 413, 437, 468, 567] [263, 379, 400, 409, 471, 533, 562, 622] [264, 324, 436, 503, 576, 589, 628, 636] [145, 267, 280, 388, 397, 455, 498, 577] [131, 268, 323, 416, 476, 501, 502, 595] [256, 257, 403, 436, 549, 553, 610, 625] [218, 270, 389, 408, 446, 544, 567, 620] [272, 295, 448, 467, 566, 587, 629, 635] [142, 281, 331, 511, 572, 583, 602, 632] [143, 283, 322, 328, 452, 491, 507, 561] [144, 232, 325, 505, 557, 587, 609, 634] [150, 289, 313, 334, 372, 474, 490, 515] [299, 370, 471, 472, 499, 507, 592, 609] [187, 250, 300, 348, 429, 474, 564, 588] [157, 269, 303, 445, 569, 580, 590, 624] [159, 306, 377, 482, 552, 600, 626, 635] [284, 318, 373, 456, 481, 495, 535, 598] [176, 306, 351, 390, 398, 481, 528, 553] [179, 335, 516, 532, 579, 611, 612, 623] [181, 303, 339, 454, 521, 522, 529, 616] [182, 243, 340, 356, 420, 518, 530, 591] [342, 444, 517, 522, 562, 570, 596, 627] [196, 203, 213, 346, 368, 384, 542, 612] [220, 336, 337, 360, 385, 473, 517, 539] [353, 419, 530, 531, 560, 571, 593, 626] [215, 357, 382, 448, 513, 534, 548, 624] [199, 364, 389, 485, 556, 602, 627, 636] [200, 214, 366, 385, 482, 537, 599, 614] [201, 340, 425, 480, 575, 581, 611, 625] [207, 212, 372, 383, 472, 511, 584, 593] [260, 374, 470, 519, 544, 590, 614, 621] [210, 216, 223, 379, 386, 396, 549, 621] [233, 371, 383, 443, 469, 514, 563, 595] [411, 451, 506, 563, 578, 580, 585, 603] [415, 458, 461, 509, 568, 581, 583, 599] [245, 281, 341, 384, 423, 445, 510, 573] [421, 422, 475, 496, 572, 594, 607, 639] [401, 431, 524, 543, 556, 617, 619, 634] [261, 311, 442, 456, 465, 539, 604, 639] [312, 350, 430, 488, 497, 527, 606, 631] [316, 355, 462, 492, 532, 547, 584, 616] [288, 308, 394, 396, 467, 493, 515, 586] [367, 477, 512, 541, 545, 586, 597, 608] [310, 399, 406, 486, 554, 561, 607, 638] [326, 424, 438, 488, 528, 551, 619, 638]
H_Z (160 checks, sparse supports)
[0, 1, 2, 4, 8, 11, 23, 28] [2, 6, 7, 16, 20, 40, 51, 94] [0, 3, 9, 13, 24, 35, 59, 85] [1, 5, 14, 30, 36, 73, 86, 168] [7, 18, 19, 44, 48, 103, 113, 221] [8, 21, 22, 52, 56, 121, 130, 234] [3, 10, 26, 61, 64, 141, 145, 280] [4, 12, 31, 68, 74, 108, 156, 169] [13, 33, 34, 78, 82, 110, 177, 186] [5, 15, 38, 88, 91, 198, 202, 363] [6, 17, 42, 96, 99, 211, 215, 382] [19, 46, 47, 107, 110, 229, 235, 404] [20, 49, 50, 114, 118, 147, 241, 249] [22, 54, 55, 124, 127, 257, 264, 436] [23, 57, 58, 131, 134, 268, 273, 391] [9, 25, 62, 136, 142, 276, 281, 341] [10, 27, 66, 91, 147, 203, 287, 368] [11, 29, 69, 151, 157, 181, 293, 303] [30, 71, 72, 161, 165, 183, 309, 315] [12, 32, 76, 171, 174, 323, 327, 502] [34, 80, 81, 180, 183, 337, 342, 517] [35, 83, 84, 187, 190, 204, 348, 354] [14, 37, 89, 193, 199, 359, 364, 489] [15, 39, 93, 174, 204, 328, 370, 507] [16, 41, 97, 208, 212, 233, 376, 383] [17, 43, 64, 101, 146, 217, 285, 309] [18, 45, 71, 105, 162, 225, 291, 460] [27, 47, 109, 232, 234, 325, 411, 506] [48, 61, 111, 112, 139, 140, 236, 239] [50, 116, 117, 142, 170, 244, 422, 572] [51, 119, 120, 144, 175, 250, 429, 557] [21, 53, 116, 173, 245, 358, 423, 536] [55, 102, 126, 221, 261, 419, 442, 571] [56, 128, 129, 184, 217, 267, 344, 388] [58, 105, 133, 226, 270, 389, 401, 556] [28, 67, 135, 152, 274, 294, 311, 465] [24, 45, 60, 106, 137, 227, 263, 400] [25, 63, 144, 232, 282, 316, 410, 462] [26, 65, 148, 167, 264, 317, 324, 466] [68, 154, 155, 287, 297, 300, 313, 474] [29, 70, 98, 159, 306, 479, 481, 598] [72, 119, 163, 164, 251, 313, 427, 490] [73, 166, 167, 316, 318, 329, 492, 495] [31, 75, 172, 320, 324, 499, 503, 592] [32, 77, 176, 306, 329, 482, 509, 599] [33, 54, 79, 125, 154, 259, 298, 439] [39, 81, 94, 182, 253, 340, 432, 480] [82, 88, 184, 185, 196, 197, 343, 346] [42, 84, 100, 189, 199, 218, 304, 389] [85, 191, 192, 201, 307, 355, 532, 611] [36, 79, 87, 112, 179, 194, 238, 335] [37, 90, 201, 243, 340, 365, 421, 475] [38, 92, 113, 205, 240, 302, 416, 476] [40, 95, 125, 188, 260, 350, 374, 527] [96, 127, 158, 210, 262, 263, 379, 381] [41, 98, 187, 214, 300, 349, 385, 473] [43, 102, 200, 220, 367, 385, 391, 541] [44, 104, 150, 223, 290, 354, 396, 515] [46, 108, 210, 231, 380, 408, 544, 621] [49, 115, 190, 238, 352, 353, 414, 531] [117, 228, 246, 404, 425, 566, 575, 629] [118, 128, 247, 248, 265, 400, 428, 533] [120, 231, 252, 409, 431, 556, 562, 627] [52, 122, 178, 334, 394, 433, 515, 550] [53, 99, 123, 177, 216, 255, 332, 386] [87, 129, 195, 212, 266, 380, 547, 584] [92, 130, 180, 206, 214, 338, 519, 614] [57, 90, 132, 266, 275, 443, 451, 563] [133, 192, 256, 339, 436, 521, 576, 615] [111, 134, 237, 271, 272, 332, 448, 513] [135, 252, 259, 421, 440, 509, 572, 583] [59, 77, 164, 312, 357, 438, 488, 534] [136, 198, 211, 275, 320, 362, 433, 479] [60, 138, 272, 295, 334, 468, 474, 588] [140, 152, 258, 347, 362, 525, 543, 617] [141, 193, 208, 279, 323, 358, 375, 501] [62, 143, 283, 297, 364, 485, 578, 603] [63, 67, 153, 295, 375, 467, 545, 586] [65, 107, 149, 230, 273, 322, 406, 561] [66, 150, 289, 342, 453, 522, 547, 616] [151, 291, 292, 370, 459, 462, 472, 584] [149, 155, 191, 299, 356, 472, 530, 593] [156, 301, 302, 475, 477, 483, 594, 597] [69, 158, 240, 279, 305, 417, 458, 568] [70, 160, 308, 401, 467, 483, 587, 634] [114, 122, 165, 171, 242, 314, 322, 491] [126, 168, 319, 326, 468, 496, 607, 638] [74, 162, 170, 185, 310, 321, 345, 486] [75, 173, 270, 326, 350, 446, 488, 504] [76, 175, 186, 254, 330, 347, 434, 464] [78, 178, 207, 333, 373, 383, 495, 514] [80, 139, 181, 244, 339, 402, 520, 559] [83, 188, 284, 318, 345, 412, 494, 523] [189, 336, 351, 424, 444, 517, 528, 574] [86, 160, 223, 299, 379, 397, 471, 498] [104, 131, 197, 224, 398, 501, 553, 610] [89, 200, 366, 395, 459, 503, 589, 637] [93, 207, 372, 422, 490, 538, 604, 639] [95, 159, 209, 224, 307, 315, 377, 484] [97, 161, 213, 281, 331, 384, 512, 597] [100, 163, 196, 261, 311, 413, 516, 612] [101, 219, 235, 392, 412, 546, 564, 588] [103, 132, 222, 245, 269, 424, 445, 551] [106, 228, 390, 403, 499, 553, 557, 609] [109, 233, 310, 371, 487, 543, 619, 638] [194, 301, 360, 506, 539, 585, 604, 633] [169, 239, 247, 296, 333, 415, 426, 461] [205, 371, 418, 469, 570, 589, 627, 636] [115, 121, 225, 243, 254, 399, 420, 554] [216, 248, 317, 387, 396, 427, 487, 493] [124, 219, 249, 258, 393, 398, 438, 528] [253, 335, 418, 423, 516, 535, 573, 598] [123, 143, 256, 284, 403, 456, 465, 491] [195, 361, 441, 505, 571, 587, 626, 635] [267, 271, 397, 430, 444, 447, 527, 570] [206, 292, 319, 461, 497, 583, 606, 632] [222, 262, 274, 377, 395, 407, 449, 552] [227, 402, 411, 450, 502, 558, 563, 595] [276, 399, 415, 452, 453, 555, 561, 568] [137, 166, 277, 367, 454, 477, 522, 596] [138, 278, 366, 482, 555, 600, 615, 633] [236, 242, 282, 343, 349, 365, 381, 504] [280, 351, 455, 456, 481, 554, 607, 639] [145, 278, 451, 498, 519, 580, 590, 605] [146, 286, 353, 476, 514, 530, 591, 595] [237, 241, 338, 355, 408, 413, 492, 567] [148, 288, 308, 485, 558, 602, 613, 632] [293, 437, 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Code ID 640-322-6 · download JSON · raw on GitHub