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[[630,2,21]] d ≤
n
630
k
2
d
21
kd²/n
1.4
w
4
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 21, d_Z ≤ 21 · 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 21 · witness weight 21 (claimed upper_bound)
witness operator (support, 21 qubits)
[29, 125, 220, 340, 356, 358, 367, 376, 382, 420, 429, 435, 444, 453, 471, 531, 560, 602, 611, 620, 629]
d_Z 21 · witness weight 21 (claimed upper_bound)
witness operator (support, 21 qubits)
[1, 34, 63, 70, 79, 88, 97, 123, 141, 150, 174, 201, 212, 227, 236, 238, 254, 281, 427, 538, 565]
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 4 · H_Z 4
qubit degrees H_X 2 · H_Z 2
trapping sets H_X (1,2)×630 (2,2)×1890 (3,2)×5670 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,2): 630 (2,2): 1890 (3,2): 5670 (3,4): 1260
trapping sets H_Z (1,2)×630 (2,2)×1890 (3,2)×5670 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,2): 630 (2,2): 1890 (3,2): 5670 (3,4): 1260

Construction & provenance

authors @mathysrennela
provenance submitted through the challenge
novelty novelty not audited
construction contributed via qldpc submit
model GLM 5.3 Flash (Zed agent) (claimed, not verified)
date 2026-09-19
family other (a tag, not a ranking)
locality unrestricted (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

[[630,2,21]] quadricycle (multivariate-bicycle family)

Direction & hypothesis

Target cell: weight-4 × unrestricted, family: quadricycle — the rank-4 member of the multivariate-bicycle (generalized-bicycle) family.

What a quadricycle is. A bicycle code is built from two block polynomials A, B over a group algebra: H_X = [A | B], H_Z = [Bᵀ | Aᵀ], with n = 2·|G| and check weight |supp(A)| + |supp(B)|. The bivariate bicycle (BB) codes take G = Z_l × Z_m — two independent cyclic shifts. The trivariate codes of arXiv:2406.19151 add a third variable z, but a *dependent* one (z = x·y), so every trivariate code reduces exactly to an ordinary rank-2 BB code on a larger torus. A quadricycle instead takes four *independent* cyclic shifts on the rank-4 torus G = Z_l1 × Z_l2 × Z_l3 × Z_l4: A, B ∈ F_2[G], n = 2·l1·l2·l3·l4. CSS commutation is automatic (all circulants over an abelian group commute). No choice of rank-2 torus reproduces a genuine rank-4 code, so at fixed check weight and n this is a strictly larger search family — more distinct monomial-support geometries per unit n, which is exactly the mechanism that let the trivariate rows beat bivariate ones at weight 4.

Hypothesis: the weight-4 × unrestricted cell was thin at high distance (best board entry [[196,2,14]]; the trivariate rows sat at d = 10–12), and rank-4 supports would reach distances the rank-2/3 families had not.

What was searched

  • A rank-4 constructor and random sampler were written for this campaign

    • (the construction is fully specified below and under Reproduction, so the code can be rebuilt without the script). The sampler draws dims each in [2, 11] with prod ≤ 350 (n ≤ 700 cap) and two distinct monomials per side; screening used the kit's research/kit/search.py funnel (screen) with the gf2_fast backend.

  • Sanity anchor: with degenerate dims (l, m, 1, 1) the rank-4 builder

    • reproduces research/kit/bb.py array-exactly, so the family is a strict generalization, not a variant.

  • Pilot: 200 random quadricycles (weight 2+2, n ∈ [60, 700], sampler seed 1)

    • screened at 400 RIS trials with min_k = 2, min_d = 6: 50 survived.

  • The submitted code was drawn by hand as the sampler's demo instance before

    • the broad sweep: dims (3, 3, 5, 7), A = {(0,0,0,0), (1,2,3,4)}, B = {(2,1,1,6), (0,2,4,2)}.

  • A 4,000-candidate stage-1 sweep (seed 20260919) was started but

    • interrupted before completion; none of its output is part of this submission. Higher-k quadricycles remain unsearched.

Evidence trail

  • Confirmation ladder on the submitted code (gf2_fast RIS): 2k trials →

    • d ≤ 21; 8k → d ≤ 21; 30k → d ≤ 21. Flat — no descent at any rung.

  • Both an X and a Z logical of weight 21 are witnessed in the submission, so

    • the bound is not one-sided.

  • Trusted gate (verify/validate_candidate.py): passed; refutation at 8k

    • RIS trials found nothing lighter; no exact or WL-equivalent duplicate on the board (checked, not equivalent); board-advancing in weight-4 × unrestricted with empty dominated_by.

  • Claim: witness-backed upper bound d ≤ 21 (confidence: upper_bound),

    • not an exact certification.

Dead ends

  • Screening with the NumPy backend is ~100× slower than the gf2_fast path

    • (14.5 s vs 0.1 s per 100 trials at n = 1250): calibrate backends before any sweep.

  • No negative family-level result is claimed — the broad sweep was cut

    • short. The one caution is budget, not evidence: rank-4 sampling at small moduli produces many k ≤ 1 codes, so min_k screening matters.

Tools

Model: GLM 5.3 Flash (Zed agent). Repo tooling: research/kit/bb.py (sanity anchor), research/kit/surrogate.py (gf2_fast RIS witnesses), research/kit/submit.py, verify/validate_candidate.py. The rank-4 constructor itself is 30 lines: a monomial x1^a·x2^b·x3^c·x4^d is the Kronecker product of cyclic shifts S_l1^a ⊗ S_l2^b ⊗ S_l3^c ⊗ S_l4^d; A and B are mod-2 sums of such monomials; H_X = [A | B], H_Z = [Bᵀ | Aᵀ]. Compute: minutes on a laptop (gf2_fast).

Reproduction

Self-contained rebuild (NumPy only):

import numpy as np

def shift(r):
    S = np.zeros((r, r), dtype=np.int8)
    i = np.arange(r)
    S[i, (i + 1) % r] = 1
    return S

def monomial(dims, term):
    M = np.array([[1]], dtype=np.int8)
    for r, e in zip(dims, term):
        M = np.kron(M, np.linalg.matrix_power(shift(r), e % r))
    return M

dims = (3, 3, 5, 7)
A = monomial(dims, (0, 0, 0, 0)) + monomial(dims, (1, 2, 3, 4))
B = monomial(dims, (2, 1, 1, 6)) + monomial(dims, (0, 2, 4, 2))
HX = np.hstack([A, B]) % 2   # H_X = [A | B]
HZ = np.hstack([B.T, A.T]) % 2  # H_Z = [B^T | A^T]

n = 630, k = 2 (kit compute_k), max check weight 4. The witnesses are re-findable with surrogate.lightest_logical at ~30k trials.

Parity checks

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