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[[837,45,5]] d ≤
n
837
k
45
d
5
kd²/n
1.344
w
4
X/Z
1
g
1.34
r
1.4142
layers
1
swaps
0

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Distance

X/Z asymmetry 1 · d_X ≤ 5, d_Z ≤ 5 · w_X = 4, w_Z = 4 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 5 · witness weight 5 (claimed upper_bound)
witness operator (support, 5 qubits)
[179, 209, 234, 263, 292]
d_Z 5 · witness weight 5 (claimed upper_bound)
witness operator (support, 5 qubits)
[402, 431, 457, 480, 509]
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 8 · H_Z 8 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 2–4 (mean 3.727) · H_Z 2–4 (mean 3.727)
qubit degrees H_X 1–2 (mean 1.763) · H_Z 1–2 (mean 1.763)
trapping sets H_X (1,1)×198 (2,0)×36 (3,0)×36 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,1): 198 (1,2): 639 (2,0): 36 (2,1): 486 (2,2): 1566 (3,0): 36 (3,1): 1278 (3,2): 3861 (3,3): 396 (3,4): 864
trapping sets H_Z (1,1)×198 (2,0)×36 (3,0)×36 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,1): 198 (1,2): 639 (2,0): 36 (2,1): 486 (2,2): 1566 (3,0): 36 (3,1): 1278 (3,2): 3861 (3,3): 396 (3,4): 864
witness diameter X 4.1231 · Z 4.0 (Euclidean support diameter of the stored distance witnesses in the layout; an upper bound on the exhibited logicals’ spread, not a minimum over all logicals)

Verified 2D layout

as measured by the verifier: every check drawn over the submitted coordinates; the interaction radius is the longest dashed pair
r = 1.414
X checkZ checkqubit site (837)dashed: the pair setting the interaction radiushover a check to isolate its qubits; click to pin — repeated clicks cycle through overlapping checks; click empty space to release
routing cost 0 nearest-neighbor SWAPs per round in total, at most 0 for one check (heuristic: MST lower bound on the layout, with one lattice step = the minimum qubit spacing 1; not a rank)

Construction & provenance

authors @victor-onofre
provenance submitted through the challenge
novelty novelty not audited
construction Multi-band dense packing of distance-5 surface-code patches (arXiv:2511.06758 generalized): rows=10 bands, m=5 patches per even band, band pitch 6, patch pitch Px=12.
model Claude Claude Opus 5 (claimed, not verified)
builds on arXiv:2511.06758
date 2026-09-19
notes Generalizes the multi-band dense packing of arXiv:2511.06758 beyond the two-band, three-patch configuration reconstructed in research/build_dense_surface.py. Literature novelty is unverified: the parameters were checked for domination and duplication against this board only. Builder submitted separately as PR #1608.
family topological (a tag, not a ranking)
locality 2D-local single (computed from the layout)
weight class weight ≤ 4 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

[[837,45,5]] — multi-band dense-packed surface code, 10 bands x 5 patches

Direction & hypothesis

Target cell: local-2d-single x weight-4. The opening here is an admissibility change, not a new construction. The multi-band dense packing of arXiv:2511.06758 is a scalable family, and the campaign that mapped it (fieldnotes/2026-09-01-multiband-dense-packing-method.md) enumerated it under an n <= 700 cap. That cap is now n <= 1000 for w <= 8, d <= 40. The hypothesis was that the manifold simply continues across the old boundary and that its points there are undominated. It does, and at the time of submission the single-layer weight-4 cell held no entry above n = 700 at all.

What was searched

The builder states the packing mask as a rule over (d, rows, m, pitch). It is not in this PR's tree: it is submitted separately as github.com/unitaryfoundation/qldpc-challenge PR #1608, research/multiband_surface.py. It was validated before being used to claim anything:

  • bit-exact against research/build_dense_surface.py at that builder's own

    • configuration (rows=2, m=3, pitch=d-1) for d = 3, 5, 7, 9 — identical H_X, H_Z and coordinates, not merely identical (n, k);

  • against the board: it reproduces 58 single-layer weight-4 entries exactly,

    • recovering each one's (rows, m, pitch) — the d = 5 ladder through [[676,36,5]], d = 7 through [[641,17,7]], d = 9 through [[691,11,9]], and the d = 11 and d = 13 columns.

That board match also fixed the band pitch empirically: rows = 2 packs at pitch = d - 1, rows >= 3 needs pitch = 2*floor(3d/4). The two regimes reconcile the fieldnote's Result 3 (measured at rows = 4) with the published rows = 2 packing.

The sweep then covered rows 2–12, m 2–40 at those pitches, keeping 700 < n <= 1000 points that are CSS, single-Tanner-component, w <= 4, free of empty check rows, and Pareto-undominated in their cell. **k was recomputed by exact GF(2) rank at every point**, never from the closed form rows*m - rows//2 — section 6 of that fieldnote records what trusting the closed form cost. 32 configurations survived; this is one of them.

Evidence trail

This code is 10 bands of 5 patches at band pitch 6, patch pitch Px = 12. Confirmation ladder:

| search | seed | trials | lightest logical found | |---|---|---|---| | packaging witness search (numpy RIS, per side) | mine | 1,200 | weight 5 | | deep refutation (C++ RIS backend, verify/gf2_fast.cpp) | 20260919 | 1,000,000 | weight 5 | | trusted gate verify/validate_candidate.py | fresh, not mine | 8,000 | not refuted |

Three searches, two from seeds outside my control, none finds a logical below weight 5.

The claim is a witness-backed upper bound, d <= 5. No exact certification is claimed or implied. The design distance of the constituent surface-code patches is 5, but that is a property of the construction, not a proof about this packing — which is exactly why the ladder above is the evidence and the design parameter is not.

Dead ends

Bounded by this family and this search depth:

  • The closed form is not a screen. Outside the two pitch regimes above,

    • rows*m - rows//2 disagrees with exact GF(2) rank, so any enumeration ranked on it is ranking fiction. Every point here was ranked on exact rank instead.

  • Rank arithmetic says nothing about distance. Configurations that look

    • strong on (n, k) alone are routinely refuted by the first witness search. The deep pass, not the parameter count, is what separates them.

  • Band spacing is the whole game. Pack tighter than the regime above and

    • the distance collapses while n and k still look right; pack looser and n grows for nothing.

Tools

Claude Opus 5 (1M context) driving this repo's own kit: research/kit/submit.py for packaging (witnesses embedded by make_submission), research/kit/surrogate.py for the RIS searches, and the optional C++ accelerator verify/gf2_fast.cpp built via verify/setup_gf2_fast.py. The accelerator is what made the deep pass affordable — roughly 200k trials in 16 s at n ~ 700, against ~400 numpy trials in 20 s. Search time for this code: about 252 s.

Reproduction

With the builder from PR #1608 (research/multiband_surface.py):

import sys; sys.path.insert(0, "research")
from multiband_surface import build, params
hx, hz, coords, _ = build(d=5, rows=10, m=5, pitch=6)
params(d=5, rows=10, m=5, pitch=6)
# -> n=837, k=45 by exact GF(2) rank, w=4, css=True, connected=True

Without it, the construction is fully specified by the mask rule below, applied over rows = 10 bands of m = 5 patches at band pitch 6 and patch pitch Px = 12. Even bands carry m patches at x = j*Px; odd bands carry m-1 at x = (d+1) + j*Px; band r starts at y = r*pitch. Each patch of the distance-5 surface code contributes occupied sites by three rules — window interior at (x+y) % 2 == 0 inside the 2d-1 square, vertical edge columns at x = x0 and x0+2d with (x+y) % 4 == ph, horizontal edge rows at y = y0 and y0+2d with (x+y) % 4 == 2-ph — where the band phase ph is 0 on even bands and 2 on odd. Data qubits are the odd/odd sites; (x+y) % 4 == 2 ancillas carry X-checks and the rest Z-checks, each supporting its diagonal data neighbours present in the mask. These are the conventions of research/build_dense_surface.py, already in the tree, which is the same mask at rows=2, m=3, pitch=d-1.

coords is the packing grid halved, one layer, so the tilted nearest-neighbour checks span sqrt(2) at unit qubit spacing.

Parity checks

X-checks 396 (max weight 4) · Z-checks 396 (max weight 4)
H_X (396 checks, sparse supports)
[0, 1] [2, 3] [5, 6] [7, 8] [10, 11] [12, 13] [15, 16] [17, 18] [20, 21] [22, 23] [1, 2, 26, 27] [3, 4, 28, 29] [6, 7, 31, 32] [8, 9, 33, 34] [11, 12, 36, 37] [13, 14, 38, 39] [16, 17, 41, 42] [18, 19, 43, 44] [21, 22, 46, 47] [23, 24, 48, 49] [25, 26, 50, 51] [27, 28, 52, 53] [30, 31, 55, 56] [32, 33, 57, 58] [35, 36, 60, 61] [37, 38, 62, 63] [40, 41, 65, 66] [42, 43, 67, 68] [45, 46, 70, 71] [47, 48, 72, 73] [51, 52, 76, 77] [53, 54, 78, 79] [56, 57, 82, 83] [58, 59, 84, 85] [61, 62, 88, 89] [63, 64, 90, 91] [66, 67, 94, 95] [68, 69, 96, 97] [71, 72, 100, 101] [73, 74, 102, 103] [75, 76, 104, 105] [77, 78, 106, 107] [79, 80, 108, 109] [81, 82, 110, 111] [83, 84, 112, 113] [85, 86, 114, 115] [87, 88, 116, 117] [89, 90, 118, 119] [91, 92, 120, 121] [93, 94, 122, 123] [95, 96, 124, 125] [97, 98, 126, 127] [99, 100, 128, 129] [101, 102, 130, 131] [105, 106] [107, 108, 133, 134] [109, 110, 135, 136] [111, 112, 137] [113, 114, 138, 139] [115, 116, 140, 141] [117, 118, 142] [119, 120, 143, 144] [121, 122, 145, 146] [123, 124, 147] [125, 126, 148, 149] [127, 128, 150, 151] [129, 130, 152] [131, 132] [153, 154] [133, 155, 156] [134, 135, 157, 158] [136, 137, 159, 160] [138, 161, 162] [139, 140, 163, 164] [141, 142, 165, 166] [143, 167, 168] [144, 145, 169, 170] [146, 147, 171, 172] [148, 173, 174] [149, 150, 175, 176] [151, 152, 177, 178] [179, 180] [154, 155, 183, 184] [156, 157, 185, 186] [158, 159, 187, 188] [160, 161, 189, 190] [162, 163, 191, 192] [164, 165, 193, 194] [166, 167, 195, 196] [168, 169, 197, 198] [170, 171, 199, 200] [172, 173, 201, 202] [174, 175, 203, 204] [176, 177, 205, 206] [178, 179, 207, 208] [180, 181, 209, 210] [182, 183, 211, 212] [184, 185, 213, 214] [188, 189, 216, 217] [190, 191, 218, 219] [194, 195, 221, 222] [196, 197, 223, 224] [200, 201, 226, 227] [202, 203, 228, 229] [206, 207, 231, 232] [208, 209, 233, 234] [212, 213, 237, 238] [214, 215, 239, 240] [217, 218, 243, 244] [219, 220, 245, 246] [222, 223, 249, 250] [224, 225, 251, 252] [227, 228, 255, 256] [229, 230, 257, 258] [232, 233, 261, 262] [234, 235, 263, 264] [236, 237, 265, 266] [238, 239, 267, 268] [240, 241, 269, 270] [242, 243, 271, 272] [244, 245, 273, 274] [246, 247, 275, 276] [248, 249, 277, 278] [250, 251, 279, 280] [252, 253, 281, 282] [254, 255, 283, 284] [256, 257, 285, 286] [258, 259, 287, 288] [260, 261, 289, 290] [262, 263, 291, 292] [266, 267] [268, 269, 294, 295] [270, 271, 296, 297] [272, 273, 298] [274, 275, 299, 300] [276, 277, 301, 302] [278, 279, 303] [280, 281, 304, 305] [282, 283, 306, 307] [284, 285, 308] [286, 287, 309, 310] [288, 289, 311, 312] [290, 291, 313] [292, 293] [314, 315] [294, 316, 317] [295, 296, 318, 319] [297, 298, 320, 321] [299, 322, 323] [300, 301, 324, 325] [302, 303, 326, 327] [304, 328, 329] [305, 306, 330, 331] [307, 308, 332, 333] [309, 334, 335] [310, 311, 336, 337] [312, 313, 338, 339] [340, 341] [315, 316, 344, 345] [317, 318, 346, 347] [319, 320, 348, 349] [321, 322, 350, 351] [323, 324, 352, 353] [325, 326, 354, 355] [327, 328, 356, 357] [329, 330, 358, 359] [331, 332, 360, 361] [333, 334, 362, 363] [335, 336, 364, 365] [337, 338, 366, 367] [339, 340, 368, 369] [341, 342, 370, 371] [343, 344, 372, 373] [345, 346, 374, 375] [349, 350, 377, 378] [351, 352, 379, 380] [355, 356, 382, 383] [357, 358, 384, 385] [361, 362, 387, 388] [363, 364, 389, 390] [367, 368, 392, 393] [369, 370, 394, 395] [373, 374, 398, 399] [375, 376, 400, 401] [378, 379, 404, 405] [380, 381, 406, 407] [383, 384, 410, 411] [385, 386, 412, 413] [388, 389, 416, 417] [390, 391, 418, 419] [393, 394, 422, 423] [395, 396, 424, 425] [397, 398, 426, 427] [399, 400, 428, 429] [401, 402, 430, 431] [403, 404, 432, 433] [405, 406, 434, 435] [407, 408, 436, 437] [409, 410, 438, 439] [411, 412, 440, 441] [413, 414, 442, 443] [415, 416, 444, 445] [417, 418, 446, 447] [419, 420, 448, 449] [421, 422, 450, 451] [423, 424, 452, 453] [427, 428] [429, 430, 455, 456] [431, 432, 457, 458] [433, 434, 459] [435, 436, 460, 461] [437, 438, 462, 463] [439, 440, 464] [441, 442, 465, 466] [443, 444, 467, 468] [445, 446, 469] [447, 448, 470, 471] [449, 450, 472, 473] [451, 452, 474] [453, 454] [475, 476] [455, 477, 478] [456, 457, 479, 480] [458, 459, 481, 482] [460, 483, 484] [461, 462, 485, 486] [463, 464, 487, 488] [465, 489, 490] [466, 467, 491, 492] [468, 469, 493, 494] [470, 495, 496] [471, 472, 497, 498] [473, 474, 499, 500] [501, 502] [476, 477, 505, 506] [478, 479, 507, 508] [480, 481, 509, 510] [482, 483, 511, 512] [484, 485, 513, 514] [486, 487, 515, 516] [488, 489, 517, 518] [490, 491, 519, 520] [492, 493, 521, 522] [494, 495, 523, 524] [496, 497, 525, 526] [498, 499, 527, 528] [500, 501, 529, 530] [502, 503, 531, 532] [504, 505, 533, 534] [506, 507, 535, 536] [510, 511, 538, 539] [512, 513, 540, 541] [516, 517, 543, 544] [518, 519, 545, 546] [522, 523, 548, 549] [524, 525, 550, 551] [528, 529, 553, 554] [530, 531, 555, 556] [534, 535, 559, 560] [536, 537, 561, 562] [539, 540, 565, 566] [541, 542, 567, 568] [544, 545, 571, 572] [546, 547, 573, 574] [549, 550, 577, 578] [551, 552, 579, 580] [554, 555, 583, 584] [556, 557, 585, 586] [558, 559, 587, 588] [560, 561, 589, 590] [562, 563, 591, 592] [564, 565, 593, 594] [566, 567, 595, 596] [568, 569, 597, 598] [570, 571, 599, 600] [572, 573, 601, 602] [574, 575, 603, 604] [576, 577, 605, 606] [578, 579, 607, 608] [580, 581, 609, 610] [582, 583, 611, 612] [584, 585, 613, 614] [588, 589] [590, 591, 616, 617] [592, 593, 618, 619] [594, 595, 620] [596, 597, 621, 622] [598, 599, 623, 624] [600, 601, 625] [602, 603, 626, 627] [604, 605, 628, 629] [606, 607, 630] [608, 609, 631, 632] [610, 611, 633, 634] [612, 613, 635] [614, 615] [636, 637] [616, 638, 639] [617, 618, 640, 641] [619, 620, 642, 643] [621, 644, 645] [622, 623, 646, 647] [624, 625, 648, 649] [626, 650, 651] [627, 628, 652, 653] [629, 630, 654, 655] [631, 656, 657] [632, 633, 658, 659] [634, 635, 660, 661] [662, 663] [637, 638, 666, 667] [639, 640, 668, 669] [641, 642, 670, 671] [643, 644, 672, 673] [645, 646, 674, 675] [647, 648, 676, 677] [649, 650, 678, 679] [651, 652, 680, 681] [653, 654, 682, 683] [655, 656, 684, 685] [657, 658, 686, 687] [659, 660, 688, 689] [661, 662, 690, 691] [663, 664, 692, 693] [665, 666, 694, 695] [667, 668, 696, 697] [671, 672, 699, 700] [673, 674, 701, 702] [677, 678, 704, 705] [679, 680, 706, 707] [683, 684, 709, 710] [685, 686, 711, 712] [689, 690, 714, 715] [691, 692, 716, 717] [695, 696, 720, 721] [697, 698, 722, 723] [700, 701, 726, 727] [702, 703, 728, 729] [705, 706, 732, 733] [707, 708, 734, 735] [710, 711, 738, 739] [712, 713, 740, 741] [715, 716, 744, 745] [717, 718, 746, 747] [719, 720, 748, 749] [721, 722, 750, 751] [723, 724, 752, 753] [725, 726, 754, 755] [727, 728, 756, 757] [729, 730, 758, 759] [731, 732, 760, 761] [733, 734, 762, 763] [735, 736, 764, 765] [737, 738, 766, 767] [739, 740, 768, 769] [741, 742, 770, 771] [743, 744, 772, 773] [745, 746, 774, 775] [749, 750] [751, 752, 777, 778] [753, 754, 779, 780] [755, 756, 781] [757, 758, 782, 783] [759, 760, 784, 785] [761, 762, 786] [763, 764, 787, 788] [765, 766, 789, 790] [767, 768, 791] [769, 770, 792, 793] [771, 772, 794, 795] [773, 774, 796] [775, 776] [777, 797] [778, 779, 798, 799] [780, 781, 800, 801] [782, 802] [783, 784, 803, 804] [785, 786, 805, 806] [787, 807] [788, 789, 808, 809] [790, 791, 810, 811] [792, 812] [793, 794, 813, 814] [795, 796, 815, 816] [797, 798, 817, 818] [799, 800, 819, 820] [801, 821] [802, 803, 822, 823] [804, 805, 824, 825] [806, 826] [807, 808, 827, 828] [809, 810, 829, 830] [811, 831] [812, 813, 832, 833] [814, 815, 834, 835] [816, 836]
H_Z (396 checks, sparse supports)
[0, 1, 25, 26] [2, 3, 27, 28] [4, 29] [5, 6, 30, 31] [7, 8, 32, 33] [9, 34] [10, 11, 35, 36] [12, 13, 37, 38] [14, 39] [15, 16, 40, 41] [17, 18, 42, 43] [19, 44] [20, 21, 45, 46] [22, 23, 47, 48] [24, 49] [25, 50] [26, 27, 51, 52] [28, 29, 53, 54] [30, 55] [31, 32, 56, 57] [33, 34, 58, 59] [35, 60] [36, 37, 61, 62] [38, 39, 63, 64] [40, 65] [41, 42, 66, 67] [43, 44, 68, 69] [45, 70] [46, 47, 71, 72] [48, 49, 73, 74] [50, 51, 75, 76] [52, 53, 77, 78] [54, 79, 80] [55, 56, 81, 82] [57, 58, 83, 84] [59, 85, 86] [60, 61, 87, 88] [62, 63, 89, 90] [64, 91, 92] [65, 66, 93, 94] [67, 68, 95, 96] [69, 97, 98] [70, 71, 99, 100] [72, 73, 101, 102] [74, 103] [75, 104] [76, 77, 105, 106] [78, 79, 107, 108] [80, 81, 109, 110] [82, 83, 111, 112] [84, 85, 113, 114] [86, 87, 115, 116] [88, 89, 117, 118] [90, 91, 119, 120] [92, 93, 121, 122] [94, 95, 123, 124] [96, 97, 125, 126] [98, 99, 127, 128] [100, 101, 129, 130] [102, 103, 131, 132] [108, 109, 134, 135] [110, 111, 136, 137] [114, 115, 139, 140] [116, 117, 141, 142] [120, 121, 144, 145] [122, 123, 146, 147] [126, 127, 149, 150] [128, 129, 151, 152] [133, 134, 156, 157] [135, 136, 158, 159] [138, 139, 162, 163] [140, 141, 164, 165] [143, 144, 168, 169] [145, 146, 170, 171] [148, 149, 174, 175] [150, 151, 176, 177] [153, 154, 182, 183] [155, 156, 184, 185] [157, 158, 186, 187] [159, 160, 188, 189] [161, 162, 190, 191] [163, 164, 192, 193] [165, 166, 194, 195] [167, 168, 196, 197] [169, 170, 198, 199] [171, 172, 200, 201] [173, 174, 202, 203] [175, 176, 204, 205] [177, 178, 206, 207] [179, 180, 208, 209] [181, 210] [182, 211] [183, 184, 212, 213] [185, 186, 214, 215] [187, 188, 216] [189, 190, 217, 218] [191, 192, 219, 220] [193, 194, 221] [195, 196, 222, 223] [197, 198, 224, 225] [199, 200, 226] [201, 202, 227, 228] [203, 204, 229, 230] [205, 206, 231] [207, 208, 232, 233] [209, 210, 234, 235] [211, 212, 236, 237] [213, 214, 238, 239] [215, 240, 241] [216, 217, 242, 243] [218, 219, 244, 245] [220, 246, 247] [221, 222, 248, 249] [223, 224, 250, 251] [225, 252, 253] [226, 227, 254, 255] [228, 229, 256, 257] [230, 258, 259] [231, 232, 260, 261] [233, 234, 262, 263] [235, 264] [236, 265] [237, 238, 266, 267] [239, 240, 268, 269] [241, 242, 270, 271] [243, 244, 272, 273] [245, 246, 274, 275] [247, 248, 276, 277] [249, 250, 278, 279] [251, 252, 280, 281] [253, 254, 282, 283] [255, 256, 284, 285] [257, 258, 286, 287] [259, 260, 288, 289] [261, 262, 290, 291] [263, 264, 292, 293] [269, 270, 295, 296] [271, 272, 297, 298] [275, 276, 300, 301] [277, 278, 302, 303] [281, 282, 305, 306] [283, 284, 307, 308] [287, 288, 310, 311] [289, 290, 312, 313] [294, 295, 317, 318] [296, 297, 319, 320] [299, 300, 323, 324] [301, 302, 325, 326] [304, 305, 329, 330] [306, 307, 331, 332] [309, 310, 335, 336] [311, 312, 337, 338] [314, 315, 343, 344] [316, 317, 345, 346] [318, 319, 347, 348] [320, 321, 349, 350] [322, 323, 351, 352] [324, 325, 353, 354] [326, 327, 355, 356] [328, 329, 357, 358] [330, 331, 359, 360] [332, 333, 361, 362] [334, 335, 363, 364] [336, 337, 365, 366] [338, 339, 367, 368] [340, 341, 369, 370] [342, 371] [343, 372] [344, 345, 373, 374] [346, 347, 375, 376] [348, 349, 377] [350, 351, 378, 379] [352, 353, 380, 381] [354, 355, 382] [356, 357, 383, 384] [358, 359, 385, 386] [360, 361, 387] [362, 363, 388, 389] [364, 365, 390, 391] [366, 367, 392] [368, 369, 393, 394] [370, 371, 395, 396] [372, 373, 397, 398] [374, 375, 399, 400] [376, 401, 402] [377, 378, 403, 404] [379, 380, 405, 406] [381, 407, 408] [382, 383, 409, 410] [384, 385, 411, 412] [386, 413, 414] [387, 388, 415, 416] [389, 390, 417, 418] [391, 419, 420] [392, 393, 421, 422] [394, 395, 423, 424] [396, 425] [397, 426] [398, 399, 427, 428] [400, 401, 429, 430] [402, 403, 431, 432] [404, 405, 433, 434] [406, 407, 435, 436] [408, 409, 437, 438] [410, 411, 439, 440] [412, 413, 441, 442] [414, 415, 443, 444] [416, 417, 445, 446] [418, 419, 447, 448] [420, 421, 449, 450] [422, 423, 451, 452] [424, 425, 453, 454] [430, 431, 456, 457] [432, 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Code ID 837-45-5 · download JSON · raw on GitHub