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[[720,362,6]] d =
n
720
k
362
d
6
kd²/n
18.1
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, 1, 3, 10, 27, 86]
d_Z 6 · witness weight 6 (claimed exact)
witness operator (support, 6 qubits)
[0, 1, 4, 7, 11, 152]
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)×720 (2,2)×5040 (3,2)×35280 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,2): 720 (2,2): 5040 (3,2): 35280 (3,4): 10080
trapping sets H_Z (1,2)×720 (2,2)×5040 (3,2)×35280 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,2): 720 (2,2): 5040 (3,2): 35280 (3,4): 10080

Construction & provenance

authors @TimoKellerMath
provenance submitted through the challenge
novelty new parameter set claimed by submitter
construction Surface code of the orientably-regular map C181.29 of type {8,8} (genus 181) in M. Conder's list of chiral maps of genus 2 to 301. Rotation group G = <r,s | r8, s8, (r*s)2, s-1*r3*s-1*r-2*s4*r, r*s-1*r-2*s*r3*s-1*r*s-2*r*s-1> of order 1440. Darts = elements of G (right multiplication), faces = cosets g<r>, vertices = cosets g<s>, edges = cosets g<rs> = {g, grs}. Qubits on the 720 edges, X-checks on the 180 vertices (weight 8), Z-checks on the 180 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 = 362, 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/720-362-6.json, level solver); independently two exact programs for check matrices with column weight 2 and an enumeration of all circuits of length <= 6 (24600 X-type and 24600 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

[[720,362,6]]: chiral {8,8} surface code, Conder's map C181.29

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 C181.29 of M. Conder's list. It is one of two {8,8} maps of the census with 720 edges and d = 6; we submit the first. 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 = 362 = 720 - 179 - 179 (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 24600 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 1.6 s and 1.6 s, recorded in certs/720-362-6.json.
  • Final claim: d_X = d_Z = 6, exact (computer-assisted; the four computations agree). 24600 X-type and 24600 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^3*s^-1*r^-2*s^4*r, r*s^-1*r^-2*s*r^3*s^-1*r*s^-2*r*s^-1> (order 1440); 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 180 (max weight 8) · Z-checks 180 (max weight 8)
H_X (180 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, 165] [7, 18, 20, 45, 50, 106, 116, 152] [8, 21, 23, 53, 58, 123, 132, 261] [3, 9, 25, 61, 63, 140, 145, 294] [4, 11, 29, 68, 70, 156, 161, 318] [13, 33, 35, 79, 84, 134, 181, 189] [5, 14, 37, 88, 90, 198, 203, 396] [6, 16, 41, 96, 98, 215, 220, 422] [19, 46, 48, 108, 111, 237, 245, 414] [20, 49, 51, 114, 119, 252, 259, 469] [22, 54, 56, 68, 124, 128, 155, 157] [23, 28, 57, 107, 134, 234, 283, 448] [9, 24, 60, 136, 138, 199, 290, 358] [10, 26, 65, 147, 149, 306, 309, 399] [11, 28, 67, 152, 154, 312, 316, 525] [30, 58, 71, 73, 131, 133, 163, 168] [12, 31, 75, 172, 174, 347, 352, 578] [34, 80, 82, 182, 185, 284, 366, 372] [35, 44, 83, 85, 103, 192, 227, 384] [14, 36, 87, 194, 196, 348, 392, 554] [15, 38, 92, 205, 207, 408, 411, 581] [16, 40, 95, 141, 209, 211, 213, 420] [17, 42, 100, 164, 223, 297, 349, 435] [18, 44, 104, 228, 230, 441, 444, 651] [47, 86, 109, 169, 240, 341, 458, 543] [48, 110, 112, 243, 248, 315, 467, 532] [50, 115, 117, 174, 211, 256, 351, 417] [51, 94, 118, 193, 261, 387, 483, 549] [21, 52, 121, 232, 264, 368, 476, 600] [55, 125, 126, 268, 270, 487, 491, 634] [56, 127, 129, 273, 276, 388, 498, 605] [24, 59, 135, 284, 286, 455, 510, 620] [61, 139, 141, 192, 292, 296, 383, 385] [25, 62, 143, 214, 242, 298, 314, 421] [26, 64, 146, 231, 304, 516, 519, 526] [27, 66, 151, 238, 311, 454, 524, 575] [29, 69, 159, 257, 324, 326, 470, 549] [72, 164, 166, 333, 336, 386, 560, 564] [73, 78, 167, 169, 178, 342, 360, 571] [31, 74, 171, 344, 346, 547, 577, 677] [32, 76, 176, 292, 354, 356, 499, 591] [33, 78, 100, 179, 222, 272, 361, 433] [81, 170, 183, 321, 368, 541, 601, 674] [82, 184, 186, 235, 371, 375, 449, 608] [84, 136, 188, 190, 236, 263, 326, 381] [59, 85, 102, 191, 269, 343, 488, 574] [36, 86, 193, 386, 388, 599, 621, 697] [88, 197, 199, 342, 394, 398, 570, 572] [37, 89, 139, 201, 278, 291, 370, 400] [38, 91, 204, 363, 406, 507, 627, 630] [39, 93, 209, 367, 413, 598, 635, 684] [40, 94, 210, 414, 416, 509, 593, 638] [96, 119, 214, 216, 258, 260, 374, 408] [41, 97, 159, 218, 325, 424, 426, 548] [42, 99, 221, 319, 429, 431, 537, 539] [43, 101, 225, 389, 437, 439, 622, 648] [45, 87, 105, 195, 232, 390, 445, 544] [46, 107, 142, 235, 450, 572, 657, 696] [109, 239, 241, 456, 461, 510, 630, 637] [83, 111, 187, 244, 246, 377, 426, 611] [112, 150, 226, 247, 302, 339, 469, 563] [49, 113, 250, 270, 451, 471, 490, 582] [116, 176, 253, 254, 338, 355, 474, 589] [117, 255, 257, 310, 477, 479, 495, 604] [52, 120, 151, 216, 263, 403, 485, 564] [53, 80, 122, 200, 230, 423, 443, 654] [54, 114, 251, 432, 450, 595, 613, 707] [126, 160, 244, 271, 327, 456, 493, 550] [90, 128, 202, 239, 274, 403, 496, 529] [129, 135, 262, 275, 285, 352, 448, 585] [57, 130, 240, 278, 457, 459, 501, 569] [132, 279, 280, 502, 503, 523, 577, 640] [133, 281, 282, 286, 378, 463, 506, 628] [60, 124, 137, 267, 288, 344, 459, 559] [140, 293, 295, 460, 471, 479, 536, 664] [62, 142, 297, 324, 461, 515, 547, 633] [63, 144, 163, 301, 323, 332, 395, 545] [64, 93, 208, 241, 412, 447, 460, 532] [147, 156, 305, 319, 420, 520, 538, 573] [65, 71, 113, 148, 162, 249, 307, 331] [66, 99, 150, 310, 327, 489, 534, 641] [67, 153, 314, 382, 488, 530, 531, 610] [157, 162, 320, 321, 330, 542, 556, 682] [69, 158, 323, 491, 544, 546, 656, 675] [70, 160, 260, 279, 328, 394, 482, 552] [165, 220, 322, 334, 527, 670, 673, 691] [122, 166, 265, 335, 337, 486, 563, 566] [95, 168, 194, 212, 339, 340, 365, 531] [74, 170, 252, 343, 473, 573, 660, 690] [97, 172, 217, 348, 423, 522, 542, 580] [75, 121, 173, 197, 350, 393, 562, 582] [76, 175, 280, 353, 490, 504, 558, 587] [77, 177, 358, 437, 561, 593, 646, 689] [79, 98, 171, 180, 219, 293, 345, 428] [115, 183, 243, 369, 463, 504, 603, 621] [110, 167, 185, 242, 338, 373, 462, 567] [186, 208, 227, 267, 359, 374, 404, 429] [189, 328, 378, 379, 540, 551, 612, 685] [190, 251, 380, 382, 412, 472, 614, 616] [198, 395, 397, 474, 602, 611, 616, 708] [89, 200, 399, 530, 603, 626, 675, 702] [91, 177, 266, 357, 369, 449, 592, 602] [205, 290, 312, 407, 512, 526, 631, 683] [92, 155, 187, 206, 317, 376, 409, 536] [215, 331, 380, 390, 557, 579, 641, 698] [101, 175, 224, 265, 329, 436, 553, 687] [103, 158, 226, 322, 440, 543, 650, 683] [148, 228, 248, 275, 396, 466, 468, 622] [104, 229, 295, 340, 442, 514, 569, 592] [105, 231, 296, 337, 357, 360, 555, 585] [106, 233, 317, 515, 527, 535, 642, 679] [108, 221, 236, 291, 430, 451, 513, 643] [161, 238, 329, 453, 455, 554, 659, 680] [153, 245, 313, 428, 464, 465, 529, 661] [146, 182, 246, 303, 365, 393, 494, 624] [254, 304, 419, 457, 475, 518, 541, 659] [223, 256, 307, 434, 453, 478, 521, 629] [118, 206, 361, 375, 454, 578, 607, 609] [259, 308, 480, 481, 522, 625, 665, 709] [120, 262, 413, 484, 535, 634, 636, 678] [247, 264, 276, 306, 325, 438, 497, 499] [123, 266, 287, 464, 511, 635, 650, 680] [125, 154, 217, 315, 385, 533, 619, 676] [269, 332, 489, 519, 558, 580, 638, 679] [188, 224, 271, 334, 371, 473, 492, 605] [127, 272, 400, 494, 503, 557, 584, 627] [274, 347, 436, 442, 462, 579, 612, 652] [130, 225, 277, 301, 372, 417, 438, 606] [131, 273, 446, 475, 495, 533, 568, 663] [203, 210, 282, 404, 415, 500, 505, 525] [283, 354, 392, 507, 588, 623, 647, 700] [181, 253, 364, 416, 508, 517, 626, 637] [137, 287, 356, 466, 590, 624, 685, 716] [138, 289, 465, 487, 520, 609, 617, 662] [222, 294, 432, 493, 505, 511, 576, 669] [281, 298, 362, 402, 441, 516, 623, 643] [143, 299, 305, 353, 377, 445, 565, 586] [144, 300, 350, 467, 583, 588, 618, 681] [145, 302, 318, 484, 508, 528, 666, 672] [149, 308, 381, 409, 597, 615, 632, 699] [184, 320, 336, 370, 540, 565, 604, 681] [173, 349, 492, 501, 506, 581, 661, 671] [178, 313, 359, 439, 528, 594, 647, 674] [179, 255, 288, 362, 397, 476, 625, 687] [180, 363, 398, 483, 539, 553, 556, 678] [316, 367, 534, 597, 599, 648, 677, 706] [204, 218, 250, 333, 373, 405, 425, 559] [289, 379, 406, 600, 613, 629, 673, 706] [191, 249, 355, 470, 566, 598, 692, 693] [384, 410, 617, 618, 633, 698, 709, 717] [195, 389, 425, 552, 607, 663, 686, 712] [196, 237, 391, 452, 606, 631, 693, 694] [201, 219, 401, 407, 427, 481, 550, 567] [202, 402, 478, 502, 548, 608, 655, 695] [207, 212, 410, 418, 513, 589, 669, 701] [268, 351, 421, 486, 584, 615, 668, 704] [213, 419, 468, 480, 546, 560, 640, 710] [391, 422, 444, 568, 587, 639, 672, 699] [229, 300, 364, 424, 512, 537, 595, 704] [233, 335, 427, 446, 472, 538, 562, 655] [234, 418, 447, 524, 561, 639, 656, 690] [415, 458, 521, 591, 636, 654, 660, 712] [258, 303, 477, 517, 658, 662, 711, 713] [285, 435, 440, 482, 509, 601, 632, 649] [341, 376, 431, 551, 610, 644, 667, 689] [433, 443, 496, 518, 583, 645, 646, 653] [434, 498, 514, 570, 586, 596, 665, 705] [277, 311, 330, 500, 523, 555, 670, 688] [346, 366, 485, 576, 596, 667, 700, 715] [383, 405, 452, 614, 628, 653, 658, 705] [299, 345, 575, 649, 676, 692, 707, 714] [309, 387, 594, 619, 620, 691, 701, 703] [571, 590, 664, 694, 695, 702, 717, 719] [401, 545, 644, 651, 657, 684, 703, 711] [411, 574, 645, 666, 688, 696, 697, 716] [430, 497, 642, 652, 710, 713, 714, 718] [668, 671, 682, 686, 708, 715, 718, 719]
H_Z (180 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, 169] [7, 18, 19, 44, 48, 103, 112, 226] [8, 21, 22, 52, 56, 120, 129, 262] [3, 10, 26, 61, 64, 93, 141, 209] [4, 12, 31, 68, 74, 157, 170, 321] [13, 33, 34, 78, 82, 178, 186, 359] [5, 15, 38, 88, 91, 177, 199, 358] [6, 17, 42, 66, 96, 99, 151, 216] [19, 46, 47, 107, 109, 234, 241, 447] [20, 49, 50, 113, 117, 249, 257, 470] [22, 54, 55, 114, 126, 252, 271, 473] [23, 57, 58, 130, 133, 277, 282, 500] [9, 25, 46, 62, 108, 136, 142, 236] [10, 27, 66, 147, 150, 156, 302, 318] [11, 29, 69, 106, 152, 158, 322, 527] [30, 71, 72, 162, 166, 330, 337, 555] [12, 32, 76, 172, 175, 329, 348, 554] [34, 53, 80, 81, 123, 183, 266, 369] [35, 83, 84, 187, 190, 376, 382, 610] [14, 37, 80, 89, 182, 194, 200, 365] [15, 39, 93, 205, 208, 312, 404, 525] [16, 41, 97, 125, 211, 217, 268, 351] [17, 43, 72, 101, 164, 165, 224, 334] [18, 26, 45, 65, 105, 148, 228, 231] [27, 47, 86, 193, 238, 387, 455, 620] [48, 110, 111, 242, 246, 314, 365, 531] [50, 115, 116, 243, 254, 315, 475, 533] [51, 118, 119, 206, 260, 409, 482, 632] [21, 53, 101, 122, 225, 264, 265, 438] [55, 102, 125, 154, 269, 316, 489, 534] [56, 127, 128, 272, 274, 347, 361, 578] [58, 131, 132, 273, 280, 388, 504, 621] [28, 67, 134, 153, 181, 313, 508, 528] [24, 60, 137, 284, 287, 366, 511, 576] [61, 139, 140, 212, 291, 295, 340, 513] [25, 63, 144, 298, 300, 512, 516, 526] [68, 155, 156, 317, 319, 535, 539, 678] [29, 70, 160, 324, 327, 534, 547, 677] [73, 167, 168, 254, 338, 340, 457, 569] [31, 75, 164, 173, 333, 344, 349, 559] [32, 77, 177, 283, 354, 357, 448, 585] [33, 38, 79, 92, 180, 206, 361, 363] [39, 81, 170, 343, 367, 574, 599, 697] [82, 184, 185, 278, 370, 373, 459, 559] [84, 188, 189, 235, 371, 379, 450, 613] [85, 191, 192, 355, 385, 589, 619, 701] [36, 87, 195, 386, 389, 468, 560, 622] [88, 137, 197, 198, 288, 393, 397, 624] [37, 90, 202, 400, 402, 507, 623, 627] [40, 95, 212, 237, 391, 414, 418, 639] [96, 190, 214, 215, 380, 381, 421, 615] [41, 98, 219, 319, 424, 427, 537, 538] [42, 54, 100, 124, 222, 267, 429, 432] [43, 59, 102, 135, 285, 437, 509, 593] [44, 83, 104, 229, 253, 364, 474, 611] [45, 106, 215, 233, 390, 422, 446, 568] [90, 109, 203, 239, 240, 267, 404, 459] [111, 244, 245, 456, 465, 517, 637, 662] [112, 247, 248, 301, 323, 438, 468, 546] [49, 114, 233, 251, 317, 471, 472, 536] [116, 152, 253, 312, 416, 519, 526, 638] [117, 255, 256, 264, 325, 476, 478, 548] [119, 258, 259, 310, 327, 477, 481, 550] [94, 123, 210, 261, 413, 415, 635, 636] [52, 121, 197, 202, 279, 394, 403, 502] [126, 159, 236, 244, 270, 326, 426, 451] [128, 155, 160, 239, 328, 376, 456, 551] [129, 148, 275, 276, 307, 499, 521, 591] [57, 107, 235, 266, 449, 464, 501, 661] [70, 132, 161, 261, 279, 329, 483, 553] [133, 163, 198, 228, 281, 395, 396, 441] [134, 189, 283, 286, 378, 507, 510, 630] [136, 199, 263, 398, 431, 485, 539, 667] [60, 138, 289, 344, 406, 461, 547, 630] [79, 140, 181, 293, 294, 364, 432, 595] [141, 211, 296, 337, 417, 566, 606, 693] [62, 143, 257, 293, 299, 324, 345, 479] [63, 145, 269, 302, 332, 339, 488, 531] [64, 146, 303, 460, 517, 626, 664, 702] [69, 147, 159, 305, 306, 325, 445, 544] [65, 149, 308, 331, 489, 522, 580, 641] [67, 154, 315, 447, 530, 532, 656, 675] [124, 157, 288, 320, 379, 476, 540, 600] [71, 76, 163, 176, 249, 332, 355, 558] [77, 165, 322, 458, 543, 561, 660, 690] [121, 166, 232, 335, 336, 445, 562, 565] [122, 131, 168, 230, 339, 444, 563, 568] [169, 341, 342, 551, 572, 685, 696, 716] [74, 171, 345, 454, 520, 573, 575, 609] [97, 172, 195, 218, 347, 390, 425, 579] [75, 174, 280, 351, 490, 503, 582, 584] [78, 167, 179, 281, 362, 378, 462, 612] [105, 115, 174, 183, 232, 352, 368, 585] [110, 185, 243, 372, 452, 463, 606, 628] [186, 216, 374, 375, 403, 465, 529, 609] [192, 383, 384, 412, 467, 532, 614, 618] [95, 194, 213, 304, 348, 419, 519, 580] [87, 196, 391, 504, 544, 587, 603, 675] [89, 201, 382, 395, 401, 530, 545, 616] [91, 204, 405, 506, 602, 628, 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Code ID 720-362-6 · download JSON · raw on GitHub