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[[620,20,70]] d ≤
n
620
k
20
d
70
kd²/n
158.065
w
16
X/Z
1.2

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Distance

X/Z asymmetry 1.2 · d_X ≤ 84, d_Z ≤ 70 · w_X = 16, w_Z = 16 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 84 · witness weight 84 (claimed upper_bound)
witness operator (support, 84 qubits)
[4, 6, 8, 11, 12, 14, 18, 19, 27, 28, 33, 36, 42, 51, 59, 62, 64, 66, 67, 73, 78, 82, 85, 87, 89, 91, 94, 95, 98, 104, 105, 109, 118, 121, 123, 127, 131, 134, 138, 144, 145, 154, 159, 161, 163, 166, 167, 169, 173, 174, 182, 183, 188, 191, 197, 206, 214, 217, 219, 221, 222, 228, 233, 237, 240, 242, 244, 246, 249, 250, 253, 259, 260, 264, 273, 276, 278, 282, 286, 289, 293, 299, 300, 309]
d_Z 70 · witness weight 70 (claimed upper_bound)
witness operator (support, 70 qubits)
[310, 313, 316, 317, 319, 327, 330, 331, 333, 336, 340, 350, 356, 360, 362, 367, 376, 378, 381, 383, 384, 388, 407, 409, 415, 417, 419, 424, 429, 431, 434, 440, 442, 443, 463, 465, 468, 471, 472, 474, 482, 485, 486, 488, 491, 495, 505, 511, 515, 517, 522, 531, 533, 536, 538, 539, 543, 562, 564, 570, 572, 574, 579, 584, 586, 589, 595, 597, 598, 618]
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 16 · H_Z 16
qubit degrees H_X 8 · H_Z 8
trapping sets H_X (1,8)×620 (2,10)×70 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,8): 620 (2,10): 70 (2,12): 2430 (2,14): 32130
trapping sets H_Z (1,8)×620 (2,10)×70 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,8): 620 (2,10): 70 (2,12): 2430 (2,14): 32130

Construction & provenance

authors @Ronaldoengenhariadacomputacao and Ronaldo Rodrigues
provenance submitted through the challenge
novelty novelty not audited
construction Two-block group algebra (2BGA) code on the metacyclic group C_62 |x_33 C_5 (order 310, r=33, ord(33,62)=5): H_X=[L(a)|R(b)], H_Z=[R(b)^T|L(a)^T] via left/right regular representations of a non-abelian group (they always commute for any group, no abelian requirement -- generalizes generalized-bicycle/circulant constructions). Weight-8 random group-algebra elements a,b found via RIS triage sweep (150 trials) over 486 metacyclic groups with n<=700 (within verify/qldpc_verify.py::admissible()'s unrestricted tier -- an earlier n=930 candidate with the same method was rejected by this repo's own schema cap and is not submitted), then confirmed with 20000-trial parallel RIS deepening (8 workers), stable from 6000 to 20000 trials.
model Claude Claude Sonnet 5 (claimed, not verified)
date 2026-10-03
notes Distance via this repository's own RIS engine (verify/heuristic_distance.py::ris_min_logical, copied locally and cross-validated against this board's own #1 entry [[682,172,78]], where it found a lighter Z witness than published). Beats the best previously published 2bga-coset entry (n=684,k=10,d=90,kd2/n=118.42) by ~3x. CORRECTION: initial submission claimed d_X=104 from this repo-s own RIS engine at 20000 trials; the CI verify gate (gf2_fast accelerator, 8,000,000 trials) found a lighter X-logical of weight 96, refuting that claim. Updated to d_X=96 using the CI-provided witness directly (verified: it lies in ker(H_Z), not in rowspace(H_X)). d_Z=107 unchanged (not refuted). This is expected RIS behavior, not a construction error: a larger trial budget (ours lacked the gf2_fast accelerator) finds tighter upper bounds, consistent with how every upper_bound entry on this board works. SECOND CORRECTION (2026-10-03, @vprusso at review): the single-block annihilator attack of #2364 and #2365 (information-set decoding inside ker(R(b)) and ker(L(a)), the subspaces of vectors supported in one block that commute with every opposite-type check) found a weight-70 Z logical and a weight-84 X logical, both re-verified in-kernel and outside the stabilizer row space; stable through 40,000 ISD iterations with two seeds. Lowered to d_Z=70, d_X=84, d=70. Two-block codes are exactly the family this attack reaches, and uniform RIS does not see it.
family 2BGA coset (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

[[620,20,70]] — Two-block group algebra (2BGA) code on a non-abelian metacyclic group

Direction & hypothesis

Targeted the 2bga-coset family. The board's best entry in this family ([[684,10,90]], kd^2/n=118.42) had only 33 submissions total, far fewer than generalized-bicycle (707 submissions) -- the family looked under-explored relative to its potential, since 2BGA generalizes generalized-bicycle's circulant construction to non-abelian groups (left/right regular representations always commute, for any group, so CSS orthogonality holds without an abelian requirement). Hypothesis: a systematic sweep over non-abelian metacyclic groups, not just the affine groups the existing entries used, could beat the family record.

What was searched

Swept 486 metacyclic groups C_m |x_r C_t (semidirect products of cyclic groups, m from 6 to 260, r chosen so ord(r,m)=t, with 2*m*t<=1000), 6 random weight-{4,5,6,7,8} group-algebra element pairs (a,b) per group, screened at 150 RIS trials/side using this repository's own search engine (verify/heuristic_distance.py::ris_min_logical). Top candidates by estimated kd^2/n were then deepened with parallel RIS (4-8 worker processes, 1500-2500 trials/worker/side, i.e. 6000-20000 trials/side total).

An early version of the sweep allowed n up to 1000 and found much stronger-looking candidates (e.g. n=930, weight-16, kd^2/n~900 at 150 trials), but these were rejected by this repository's own schema cap: verify/qldpc_verify.py::admissible() only allows n in (700,1000] when max check weight <= 8 and claimed d <= 40 -- our weight-16, d~170 candidates did not qualify. The sweep was corrected to n<=700 (where the cap is unrestricted) and re-run from there.

Evidence trail

Confirmation ladder for the submitted candidate (m=62, t=5, r=33, order 310, weight-8 a/b supports):

| trials/side | d_X | d_Z | d | kd^2/n | |---|---|---|---|---| | 150 (triage) | 112 | -- | 112 | 404.65 | | 6000 (4 workers) | 107 | 106 | 106 | 362.45 | | 20000 (8 workers, this repo's own RIS engine) | 107 | 106 | 106 | 362.45 | | 20000 (this submission's own run, cli/qldpc.py submit) | 104 | 107 | 104 | 348.90 |

Stable between 6000 and 20000 trials in two independent runs (our own 8-worker harness and this CLI's own sequential run), both landing in the 104-107 range -- consistent with a reasonably converged (not certified exact) upper bound. Claim: witness-backed upper bound, not exact certification (no exhaustive distance search was run for this instance).

As an independent sanity check (not part of the submitted claim), this repository's own RIS engine was also run against the board's #1 entry, [[682,172,78]]: with only 2000 trials it found a Z-side witness of weight 88, lighter than the published d_Z=91 -- confirming the engine behaves correctly and that published upper bounds are not always the tightest possible, even for the board leader.

Dead ends

  • Affine groups Aff(F_q) = Z_q |x Z_{q-1} (q=11,13,17,19), the structure

    • used by the existing best 2bga-coset entries: systematically swept, all weaker (best kd^2/n ~118, matching the published record, not beating it).

  • Many metacyclic groups with n in (700,1000]: screened well (kd^2/n up

    • to ~900 at shallow trial counts) but structurally ineligible under this board's schema cap (see above) -- not a code-quality dead end, a submission-eligibility one.

  • Broad sweep with n<=700 and the groups/weights above is exhausted at

    • current trial counts (6 supports/group): a repeat pass found no new candidate beyond what is reported here.

Tools

Model: Claude Sonnet 5. Agent/harness: Claude Code (Claude Agent SDK). Repo tooling used: this repository's own verify/heuristic_distance.py RIS engine (copied locally, not modified, to run the triage/deepening sweep outside the CLI's own invocation; the final submitted number comes from this CLI's own run, shown in the table above). gf2_fast was not available in this environment (confirmed via import gf2_fast failing), so all RIS trials ran on the pure-Python path. Approximate compute: ~2900 triage evaluations (150 trials/side each) plus ~6 deepening runs (6000-20000 trials/side each) on an 8-16 core workstation, no GPU.

Reproduction

Group: metacyclic C_62 |x_33 C_5 (order 310; elements (i,j), i in Z_62, j in Z_5, index = i*5+j; product (i1,j1)*(i2,j2) = (i1 + 33^j1 * i2 mod 62, j1+j2 mod 5)). H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T], where L/R are the left/right regular representations and a, b are group-algebra elements (weight-8 index subsets):

a_sup = [263, 17, 97, 246, 24, 149, 46, 86] b_sup = [33, 142, 104, 3, 146, 22, 241, 132]

(Supports are 0-indexed group elements under the i*5+j convention above.)

Correction (2026-10-03)

Initial submission claimed d_X=104 from this repository's own RIS engine (verify/heuristic_distance.py::ris_min_logical, copied locally, 20,000 trials, 8 parallel workers, pure Python). The CI verify gate (which uses the gf2_fast C++ accelerator, 8,000,000 trials) found a lighter X-logical of weight 96, refuting the d=104 claim. This environment does not have gf2_fast installed, so our own search had a far smaller effective budget than the CI gate's. Updated the claim to d_X=96 using the CI-provided witness directly (independently verified here: it lies in ker(H_Z) and is not in rowspace(H_X), confirming it is a genuine X-type logical of weight 96). d_Z=107 is unchanged (not refuted). New score: kd^2/n = 20*96*96/620 = 297.29. This is not a construction error -- it reflects the RIS search budget gap between this environment and the CI gate's accelerated path, the same dynamic that applies to every upper_bound entry on this board.

Second correction (2026-10-03, at review)

The reviewer ran the single-block annihilator attack of #2364 and #2365 on the entry. With H_X = [L(a) | R(b)], a vector supported in the right block alone commutes with every X check iff R(b) annihilates it, and that annihilator is a 51-dimensional subspace; information-set decoding inside it finds a weight-70 Z logical at iteration 303, stable through 40,000 iterations with a second seed. The same search in ker(L(a)) on the left block finds a weight-84 X logical. Both were re-verified independently of the search (in the kernel of the opposite-type checks, outside the same-type row space). The entry is therefore [[620,20,70]], kd^2/n = 20*70*70/620 = 158.06. Uniform RIS at 8,000,000 trials did not reach either vector; the attack is structural to two-block constructions and the subspace is small enough that it should be part of any 2BGA search before a distance is claimed.

Parity checks

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