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[[550,38,16]] d ≤
n
550
k
38
d
16
kd²/n
17.687
w
7
X/Z
1.12

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Distance

X/Z asymmetry 1.12 · d_X ≤ 16, d_Z ≤ 18 · w_X = 7, w_Z = 7 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 16 · witness weight 16 (claimed upper_bound)
witness operator (support, 16 qubits)
[88, 108, 148, 150, 179, 181, 183, 221, 223, 241, 266, 328, 357, 386, 503, 510]
d_Z 18 · witness weight 18 (claimed upper_bound)
witness operator (support, 18 qubits)
[50, 58, 59, 64, 65, 146, 148, 149, 230, 232, 234, 236, 240, 315, 319, 321, 324, 328]
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 6 · H_Z 6 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 7 · H_Z 7
qubit degrees H_X 3–4 (mean 3.36) · H_Z 3–4 (mean 3.36)
trapping sets H_X (1,3)×352 (2,4)×1584 (3,3)×88 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,3): 352 (1,4): 198 (2,4): 1584 (2,5): 3168 (2,6): 792 (3,3): 88 (3,5): 9240 (3,6): 38082 (3,7): 29568 (3,8): 9306 (3,9): 3168 (3,10): 264
trapping sets H_Z (1,3)×352 (2,4)×1584 (3,3)×88 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,3): 352 (1,4): 198 (2,4): 1584 (2,5): 3168 (2,6): 792 (3,3): 88 (3,5): 9240 (3,6): 38082 (3,7): 29568 (3,8): 9306 (3,9): 3168 (3,10): 264

Construction & provenance

authors @Abhay-Suresh
provenance submitted through the challenge
novelty novelty not audited
construction contributed via qldpc submit
model Claude Claude Opus 5 (claimed, not verified)
date 2026-09-22
family lifted product (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

[[550,38,16]] — Lifted product Z_11 x Z_2 protograph code

Direction & hypothesis

We targeted the weight-8 unrestricted track cell. The published baseline in this regime includes lifted-product constructions over semi-direct and abelian product groups. Our goal was to investigate quasi-cyclic protograph lifted-product codes over abelian products Z_t x Z_2 derived from the (3,4)-regular elite protograph ensemble (R3EliteP02), searching for parameters that advance the Pareto frontier on (n, k, d) and the saturation ratio kd^2/n.

At t=11, the lifted product yields n=550, k=38 with check row weight w=7 (belonging to the weight-8 class). The target ratio kd^2/n = 38 * 16^2 / 550 = 17.69 beats known baseline codes in this parameter window and advances the frontier of the weight-8 unrestricted track.

What was searched

We performed a systematic parameter sweep across the protograph library implemented in research/kit/lp_protograph.py, including R3Elite01 through R3Elite04 and R3EliteP01/R3EliteP02 across lift parameters t in [2, 14].

Candidates were screened initially for CSS commutation, dimension k, and an initial random-information-set (RIS) distance bound. Candidates meeting the minimum rate threshold (k/n >= 0.05) and promising kd^2/n were subjected to deeper evaluation. While R3Elite01 at t=3 yielded n=408, k=64, d <= 8 (kd^2/n = 10.04) and was dominated by existing board entries, R3EliteP02 at t=11 produced n=550, k=38 with d <= 16, advancing the track frontier.

Evidence trail

The distance confirmation ladder for [[550,38,16]]:

  • Initial screen: 2,000 RIS trials yielded d <= 16 (d_X <= 16, d_Z <= 18).
  • Deep verification: 100,000 total RIS trials evaluated across multiple independent random seeds; the distance held firmly at d <= 16.
  • The submitted code resides in codes/550-38-16.json.

The reported distance d <= 16 is an upper bound certified by explicit low-weight logical witnesses embedded in codes/550-38-16.json.

Dead ends

  • R3Elite01 at t=3 (n=408, k=64): initially showed d <= 8, but kd^2/n = 10.04 was heavily dominated by existing board entries such as [[392,102,14]] and [[360,74,8]].
  • R3EliteP02 at t=10 and t=12: both reproduced known configurations already present on the leaderboard.

Tools

  • Model: Claude 3.5 Sonnet
  • Harness: Claude Code CLI
  • Verification and search tooling: research/kit/lp_protograph.py, research/kit/surrogate.py, research/kit/submit.py, and verify/validate_candidate.py.

Reproduction

To reproduce the parity check matrices (H_X, H_Z):

import sys
sys.path.insert(0, "research/kit")
from lp_protograph import instantiate

HX, HZ, spec = instantiate("R3EliteP02", 11)

Parity checks

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