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[[576,20,24]] d ≤
n
576
k
20
d
24
kd²/n
20.0
w
6
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 24, d_Z ≤ 24 · w_X = 6, w_Z = 6 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 24 · witness weight 24 (claimed upper_bound)
witness operator (support, 24 qubits)
[27, 38, 98, 111, 140, 142, 158, 183, 223, 238, 265, 283, 302, 327, 367, 382, 409, 427, 459, 470, 530, 543, 572, 574]
d_Z 24 · witness weight 24 (claimed upper_bound)
witness operator (support, 24 qubits)
[181, 220, 228, 235, 252, 260, 262, 264, 267, 277, 280, 282, 293, 311, 337, 361, 376, 396, 399, 421, 452, 481, 484, 520]
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 6 · H_Z 6
qubit degrees H_X 3 · H_Z 3
trapping sets H_X (1,3)×576 (2,4)×4320 (3,5)×43200 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 576 (2,4): 4320 (3,5): 43200 (3,7): 5760
trapping sets H_Z (1,3)×576 (2,4)×4320 (3,5)×43200 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 576 (2,4): 4320 (3,5): 43200 (3,7): 5760

Construction & provenance

authors @rajendrarajpurohit
provenance submitted through the challenge
novelty new parameter set claimed by submitter
construction Coset lifted product (CLP) code, Definition III.1 of arXiv:2610.12782, 1x1 over 2x2 layout, check weight 6. G = SmallGroup(288,1021) (GAP SmallGroups id), H = <f2*f4> = C2 given by generators in the polycyclic generating sequence f1,f2,... of G, m = [G:H] = 144, n = 4m = 576. Protograph a over F_2[G] acts by the left coset action on G/H, protograph B over F_2[N_G(H)] by the right coset action. a = 1 + f2*f3*f4*f5*f62*f7 + f1*f2*f4*f5; B = [[1 + f3*f4*f5, 1], [1, f52*f7 + f3*f4*f5*f6]]. Rebuild with gap/rebuild.g in https://github.com/rajendrarajpurohit/CLP_QLDPC.
model human (claimed, not verified)
builds on arXiv:2610.12782
date 2026-10-31
notes New parameter set, not in arXiv:2610.12782. Found by the paper's search procedure extended from m <= 100 to 120 <= m <= 250 (pairs (G,H) with H cyclic, core free, [G:N_G(H)] in {2,3,4}), weight 6 shape |a| = 3 with B entry weights 2 1 / 1 2 or 1 2 / 2 1. Screened with QDistRnd, 10^6 rounds per side; the witness here is from this tool's own RIS search. Authors Rajendra Rajpurohit, V. Lalitha, Shayan Srinivasa Garani.
family 2BGA coset (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight ≤ 6 (computed)

How this code was found

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

[[576,20,24]] CLP code, check weight 6

Primary reference: arXiv:2610.12782, *Coset Lifted Product Codes*, Rajpurohit, Lalitha, Garani. This parameter set is not in the current version of the paper; it comes from the same search extended to longer codes and will appear in the updated version, with the data in https://github.com/rajendrarajpurohit/CLP_QLDPC (folder large_m/576_20_24).

Direction and hypothesis

The paper's search covered 120 <= n <= 400 (m = [G:H] from 30 to 100). The question was whether the same construction scales: does the 1x1 over 2x2 layout at check weight 6 keep its distance growing when m goes to 120 to 250, that is n from 480 to 1000, and where do such codes sit on this board's weight-6 frontier.

What was searched

25,240 pairs (G,H), H cyclic of order 2 to 9, core free, [G:N_G(H)] in {2,3,4}, [N_G(H):H] >= 4, from SmallGroups of order 240 to 2000 (orders with more than 2000 groups skipped). 1,500 random draws per pair of a with |a| = 3 and B with entry weights 2 1 / 1 2 or 1 2 / 2 1, then 20,000 draws per pair on the 6,836 pairs with 560 <= n <= 700 whose best k was at least 16, logging any draw whose (n, k, d) was not Pareto dominated by the weight-6 cell of this board on 24 Oct 2026. Screening ladder: 50 and 500 QDistRnd rounds with an early abort at the required distance, then 20,000, then 200,000 on both sides.

This code

G = SmallGroup(288,1021), H = <f2*f4> = C2, m = 144. a = 1 + f2*f3*f4*f5*f6^2*f7 + f1*f2*f4*f5; B = [[1 + f3*f4*f5, 1], [1, f5^2*f7 + f3*f4*f5*f6]].

Evidence trail

| stage | rounds / trials | result | |---|---|---| | search log | 200,000 QDistRnd per side | d <= 24 | | rescreen | 1,000,000 QDistRnd per side | d <= 24 | | this tool | 500,000 RIS trials per side | X <= 24, Z <= 24 |

The witnesses in the entry are the ones this tool found; each was checked by the verifier. Not certified exact; the paper's integer program certification does not reach these distances.

Dead ends

Shapes with |a| = 2 or |a| = 4 (B entry weights up to 2 2 / 2 2) raise k to 24 and far beyond at these lengths but over 9,560 pairs never paired that k with a distance above the frontier for its k. Bounds from the 200,000 round stage overestimate by 2 to 16 at n near 1000; only the 10^6 figures are reported.

Tools

GAP 4.15.1 with SmallGroups and QDistRnd, the construction and driver scripts of the repository above (large_m/search), no LLM in the search loop. Witness and verification: this repository's qldpc submit with --trials 500000.

Reproduction

gap/rebuild.g in the repository above, with G, H, a, B as given, rebuilds HX and HZ; verify.py there checks the structure and this board's verifier checks the witnesses.

Parity checks

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