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[[684,346,8]] d ≤
n
684
k
346
d
8
kd²/n
32.374
w
12
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 8, d_Z ≤ 8 · w_X = 12, w_Z = 12 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 8 · witness weight 8 (claimed upper_bound)
witness operator (support, 8 qubits)
[43, 63, 112, 121, 188, 276, 334, 525]
d_Z 8 · witness weight 8 (claimed upper_bound)
witness operator (support, 8 qubits)
[60, 226, 291, 455, 461, 514, 584, 677]
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 12 · H_Z 12
qubit degrees H_X 3 · H_Z 3
trapping sets H_X (1,3)×684 (2,2)×133 (3,3)×4503 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 684 (2,2): 133 (2,4): 11020 (3,3): 4503 (3,5): 234745 (3,7): 34979
trapping sets H_Z (1,3)×684 (2,2)×133 (3,3)×4503 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 684 (2,2): 133 (2,4): 11020 (3,3): 4503 (3,5): 234745 (3,7): 34979

Construction & provenance

authors @mathysrennela
provenance submitted through the challenge
novelty novelty not audited
construction Cornucopia code (Lu, Li & Deng, arXiv:2608.02773; block-convolutional CSS construction with the check matrices given in the Methods of arXiv:2610.19073): q=19, n=36q=684 data qubits in twelve 3x19 tiles L0..L5,R0..R5 plus nine 3x19 X-check and nine 3x19 Z-check tiles; HX=[A_(j-i)|B_(j-i)], HZ=[B-1_(i-j)|A-1_(i-j)] with the coordinate permutations A_p,B_p:(r,c)|->(rho(p,r),c+s[p]) on Z_3 x Z_19, row maps rho_A(0)=r+1, rho_A(1)=2r+2, rho_B(2)=r+1, rho_B(3)=2r+2 (identity otherwise), and column shifts sA=[17, 16, 17, 2, 1, 18], sB=[7, 0, 9, 14, 7, 13]. These shifts were found by a random shift search; the paper publishes instances only at q=7,16,25,29,49,64,79. Weight-12 checks, k=18q+4=346.
model MiMo-V2.6-Flash (claimed, not verified)
builds on arXiv:2608.02773, arXiv:2610.19073
date 2026-10-15
family other (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

[[684,346,8]] - Cornucopia code at q=19, a new member of the published family

Direction & hypothesis

Target: the weight-9plus x unrestricted cell on the CSS board (checks of weight 12, no 2D-local layout). The Cornucopia architecture paper (arXiv:2610.19073) closes by saying its construction "carries over to other codes of the family", and the family (Lu, Li & Deng, arXiv:2608.02773) is n = 36q, k = 18q + 4 with weight-12 checks - but the paper publishes instances only at q = 7, 16, 25, 29, 49, 64, 79, of which only q=7 and q=16 fit this board's n <= 700 cap and both are already board entries. So the unpublished block sizes under the cap, q = 4..19, were the opening: every one of them is a rate-1/2 point no CSS board entry can dominate (an entry dominating [[684,346,d]] would need n <= 684 and k >= 346, i.e. rate at least 0.506 at that size, and the board has none).

What was searched

The family's only free parameters are its 12 column shifts: check matrices HX = [A_(j-i) | B_(j-i)], HZ = [B^-1_(i-j) | A^-1_(i-j)] over Z_3 x Z_q coordinate permutations (row maps r+1 for A0 and B2, 2r+2 for A1 and B3, identity otherwise). CSS commutation holds for *every* shift choice: the only noncommuting row-map pairs, (A0,B3) and (A1,B2), enter block-row differences i'-i = 3 (mod 6), which never occur for i,i' in {0,1,2}; so the search is over shifts alone, with k recomputed exactly on every draw.

At q=19: 1200 uniformly random shift pairs, screened at 100 RIS trials each (accelerated backend); the top 24 re-measured at 4000; the top 4 re-measured at 100000; then the packaged candidate re-verified by submit.make_submission (1500 numpy trials/side) and by the submission CLI (800 python RIS + 300000 accelerated trials/side). Stage-1 reads at q=19: 2 -> 73, 4 -> 275, 6 -> 727, 8 -> 125. Seed 17 throughout the sweep, 0 for the CLI witness search. One design fact from the sweep: a read is the lightest logical *found*, so it is always >= the true d - stage-1 ranking cannot discard a better code, only fail to see how good it is.

Evidence trail

Ladder for this candidate (fast-RIS read -> numpy witness -> CLI):

  • stage reads at 100, 4000, 100000 fast-RIS trials: 8, 8, 8; packaging numpy witness search: 1500 trials/side -> d <= 8.
  • final claim: witness-backed upper bound d <= 8, not exact (the

    • exact tier needs the server MILP; k = 346 puts this beyond its envelope).

  • k = 346 = 18*19+4 recomputed by the verifier; CSS commutation checked;

    • max check weight 12.

  • Gate (verify/validate_candidate.py): passed: true, refuted: false

    • (its own refutation found no lighter logical), board_advancing: true, d_only_gain: false, dominated_by: [].

  • The 1200 draws at this q never read above 8; deeper stages confirmed

    • 8. kd^2/n = 32.37.

Dead ends

  • ~0.0% of random shift sets drop rank (k < 18q+4): the two

    • redundancies per check type are not always the only ones. Rejected on an exact GF(2) rank, not a heuristic. At q=19: 0 of 1200 draws.

  • At q=7 and q=16 the best random-shift reads (6 and 8) only *equal* the

    • published-instance board entries [[252,130,6]] and [[576,292,8]], so nothing was staged there: a tie is not a submission.

  • Across the whole campaign (q=4..19, 19,200 draws) no candidate anywhere read

    • above 8 at any depth: uniform random shifts do not reach d=9/10 under n <= 700; the published family first reaches d=10 at q=25 (n=900, over cap). A designed search (hill-climbing on the plateau of 8-reads) is the untried rung, a wider uniform sweep is not.

Tools

Model: MiMo-V2.6-Flash (matches provenance.model), driving an OpenCode agent harness. Repo tooling: research/kit/css.py (exact k, CSS check), research/kit/surrogate.py (RIS surrogate, fast backend verify/gf2_fast), research/kit/submit.py packaging, verify/validate_candidate.py (the trusted gate), ./qldpc submit (witness search, verifier, circuit tier). Compute: ~9 CPU-hours for the whole 16-q campaign; this q's share is the 1200+24*4000+4*100000 screened trials above.

Reproduction

Rebuild (H_X, H_Z) exactly: q = 19, n = 36q, data qubit (b,r,c) (index (3b+r)q+c, b = 0..5 tiles L, b = 6..11 tiles R, r in Z_3, c in Z_q); HX[(i,r,c), (j, A_(j-i)(r,c))] = 1 and on the R tile with B; HZ[(i,r,c), (j, B^-1_(i-j)(r,c))] = 1 and on the R tile with A; each A_p, B_p : (r,c) |-> (rho(p,r), c + s[p]) mod q with rho_A(0)=r+1, rho_A(1)=2r+2, rho_B(2)=r+1, rho_B(3)=2r+2, identity otherwise, and shifts sA = [17, 16, 17, 2, 1, 18], sB = [7, 0, 9, 14, 7, 13]. Weight-12 checks, k = 18q + 4. Verify: uv run python verify/qldpc_verify.py codes/684-346-8.json.

Parity checks

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