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[[682,92,64]] d ≤
n
682
k
92
d
64
kd²/n
552.54
w
28
X/Z
1.03

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Distance

X/Z asymmetry 1.03 · d_X ≤ 64, d_Z ≤ 66 · w_X = 28, w_Z = 28 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 64 · witness weight 64 (claimed upper_bound)
witness found by @FarLab and @MathysRennela and @MicheldeMessieres · orbit-fold (verify/heuristic_distance.py, PR #2902) · found at 106 trials · 2026-10-09
witness operator (support, 64 qubits)
[19, 21, 30, 38, 41, 64, 70, 72, 81, 114, 126, 145, 162, 163, 174, 176, 179, 203, 207, 227, 236, 241, 247, 250, 255, 258, 286, 299, 300, 312, 327, 330, 368, 394, 395, 400, 410, 435, 448, 455, 457, 459, 464, 466, 472, 486, 492, 493, 495, 498, 517, 532, 548, 559, 560, 563, 590, 594, 612, 625, 642, 665, 674, 676]
d_Z 66 · witness weight 66 (claimed upper_bound)
witness found by @FarLab and @MathysRennela and @MicheldeMessieres · orbit-fold (verify/heuristic_distance.py, PR #2902) · found at 106 trials · 2026-10-09
witness operator (support, 66 qubits)
[2, 16, 22, 33, 43, 63, 74, 113, 118, 138, 140, 157, 160, 167, 175, 181, 192, 198, 203, 219, 235, 244, 275, 280, 291, 293, 305, 315, 316, 322, 327, 328, 332, 335, 345, 348, 366, 377, 387, 390, 404, 418, 422, 423, 428, 438, 439, 464, 465, 469, 495, 514, 515, 527, 531, 534, 547, 585, 593, 596, 616, 621, 627, 640, 655, 671]
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 28 · H_Z 28
qubit degrees H_X 14 · H_Z 14
trapping sets H_X (1,14)×682 (2,20)×682 (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
(1,14): 682 (2,20): 682 (2,22): 4433 (2,24): 21483 (2,26): 69905
trapping sets H_Z (1,14)×682 (2,20)×682 (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
(1,14): 682 (2,20): 682 (2,22): 4433 (2,24): 21483 (2,26): 69905

Construction & provenance

authors @Ronaldoengenhariadacomputacao and Ronaldo Rodrigues
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized-bicycle code over Z_341 (same ring as this board's leader [[682,172,78]]), reproducing that entry's exact published recipe: a(x) support is 6 fixed points plus 4 size-2 orbits under the symmetry j->32j (mod 341, ord=2), b(x)=a(x4) mod (x341-1) (Frobenius pairing, shift s=0). Found by screening ~140 candidates built with this exact recipe shape (weight/fixed-point combos (14,6),(14,4),(16,6),(16,8),(16,4),(18,8),(18,6), shifts s in {0,1,7,97,170}) at 20000 trials via a locally-compiled gf2_fast accelerator, then deepening the top 5 to 500000 trials; this candidate (w=14,f=6,s=0) held stable (~9% drop vs ~90%+ collapse on generic random-symmetry candidates tested in the same session).
model Claude Claude Sonnet 5 (claimed, not verified)
date 2026-10-03
notes TIGHTENING (2026-10-03, same day as the d_X correction above): this cyclic (abelian, t=1) generalized-bicycle construction has an exact qubit permutation symmetry -- negate the index mod 341 within each of the two n/2 blocks, then swap the two blocks -- that maps H_X onto H_Z exactly (as a set of check rows), proven by direct computation, not just argued. This means d_X and d_Z are mathematically forced to be equal for this entire family (any cyclic/abelian 2-block generalized-bicycle code), with no search needed: applying this permutation to the already-verified weight-85 X-type witness produces a weight-85 Z-type witness (verified: commutes with H_X, increases rank of H_Z when appended -- a genuine nontrivial logical). d_Z updated from the stale 95 (an un-re-deepened carryover from the original, since-refuted submission) to 85, matching d_X exactly. d (=85) and kd^2/n (=974.633) are unchanged by this -- both sides were already <=85, this only replaces a loose bound with the exact matching one. CORRECTION (2026-10-03): the CI's verify gate (verify/gate_changed.py, seed=1331609806) refuted the original d=95 claim, finding a weight-85 X-type logical operator (flagged by @vprusso). Independently re-verified against our own H_X/H_Z: the operator commutes fully with H_Z and is not in the row space of H_X -- a genuine nontrivial logical operator, not a tool artifact. Local greedy reduction (XOR against every row of H_X) does not reduce the weight-85 witness further -- it is a local minimum under single-stabilizer combination. Our own follow-up deep search (24,000,000 trials, gf2_fast, 20 threads, seed=2026) did not find anything lighter than 85 and in fact only reached d_X=94 at that seed -- confirming our own random-trial search has a real blind spot for this specific algebraic structure (the CI's accelerated 'fast pass' found it with a smaller but differently-structured budget; our own gf2_fast.distance_rand_witness calls never did, even at 3x the trial count). d_X updated from 106 to 85 (now the binding side); d updated from 95 to 85; kd^2/n updated from 1217.45 to 974.63. d_Z (95) was NOT independently re-deepened after this correction -- carried over from the original submission's 500k/8M runs, flagged here per our own post-incident protocol (never assume one side is safe just because the other side was refuted). --- Original submission notes (pre-correction) --- Distance confirmed by two independent deep searches with this repository's own gf2_fast accelerator (compiled locally): 500,000 trials/seed=999 found d_X=95 (lighter side), 8,000,000 trials/seed=42 (CI-equivalent budget, 20 threads) found d=96. Reporting the tighter value, d=95, as witness-backed upper bound. Equivalence check: this (m,a,b) triple is distinct from the board leader and all other generalized-bicycle entries at n=682 I am aware of -- a is NOT the leader's a (different support), though both share the same ring Z_341 and the same Frobenius-pairing recipe shape; no isomorphism to an existing entry was found or expected given the different support. Distance over-claim independently reported by @MathysRennela and @MicheldeMessieres on 2026-10-08 (see issue #2899); corrected to d <= 77 with a witness from the maintainers' orbit-restricted search. Corrected to d <= 64 on 2026-10-09 by @FarLab with the orbit-fold search of PR #2902 (X: 77 -> 64; Z: 77 -> 66; see issue #2949). The earlier correction of this entry is recorded on issue #2899; the lighter witness was posted there on 2026-10-08.
family generalized bicycle (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

[[682,92,64]] — Generalized-bicycle code via champion's exact Frobenius-pairing recipe

Tightening (2026-10-03, same day as the correction below)

This cyclic (abelian, t=1) generalized-bicycle construction has an exact qubit permutation symmetry: negate the index mod 341 within each of the two n/2 blocks, then swap the two blocks. This maps H_X onto H_Z exactly (verified by direct computation: H_X's columns reindexed by this permutation equal H_Z as a set of check rows). Consequence: d_X and d_Z are mathematically forced to be equal for this entire family (any cyclic/abelian 2-block generalized-bicycle code) -- no search needed to show it. Applying this permutation to the already-verified weight-85 X-type witness produces a weight-85 Z-type witness (independently verified: commutes with H_X, increases rank of H_Z when appended -- a genuine nontrivial logical, not a derivation artifact). d_Z updated from the stale 95 (an un-re-deepened carryover from the original, since-refuted submission) to 85, now matching d_X exactly. d (=85) and kd^2/n (=974.633) are unchanged -- both sides were already <=85, this only replaces a loose bound with the exact matching one.

Correction (2026-10-03)

This entry originally claimed d=95 (kd^2/n=1217.45). The CI's verify gate (verify/gate_changed.py, seed=1331609806) refuted that claim, finding a weight-85 X-type logical operator (flagged by @vprusso). We independently re-verified the witness against our own H_X/H_Z: it commutes fully with H_Z and is not in the row space of H_X -- a genuine nontrivial logical operator, not a tool artifact. A local greedy reduction (XOR against every row of H_X) does not shrink it further. A follow-up deep search of our own (24,000,000 trials, gf2_fast, 20 threads, seed=2026) did not find anything lighter than 85 and in fact only reached d_X=94 at that seed -- our own random-trial search has a real blind spot for whatever structure the CI's accelerated "fast pass" exploits; more trials alone did not close the gap. d updated 95 -> 85, kd^2/n updated 1217.45 -> 974.63. d_Z (95) was not independently re-deepened after this correction. Before pushing this correction we ran the CI's own gate (verify/gate_changed.py) locally with 3 independent random seeds against the corrected d=85 claim -- none found anything lighter, per our own post-incident protocol (never submit or re-submit without reproducing the actual CI gate first, not just our own ad-hoc gf2_fast calls).

The rest of this note (below) describes the original, un-refuted search that found the (a,b) pair -- the construction and the a_sup/b_sup values are unchanged; only the distance claim and score are corrected.

Direction & hypothesis

Targeted the generalized-bicycle family at n=682 (m=341), the exact ring size used by this board's leader, [[682,172,78]]. Hypothesis: the leader's published construction note (notes/682-172-52-b.md) documents a specific, reproducible recipe -- not a lucky random pair -- and testing that exact recipe (rather than generic random a,b) would find stronger-than-generic candidates even if not matching k=172 specifically.

What was searched

1. Extracted the leader's exact a,b supports directly from its committed H_X row 0 and confirmed, by direct GF(2) polynomial gcd computation, that b(x) = a(x^4) exactly (degree-86 shared divisor, matching notes/682-172-52-b.md's claim) and that a(x) is invariant under the symmetry j -> 32j (mod 341), ord(32,341)=2, giving 30 fixed points (multiples of 11) and 155 size-2 orbits. 2. Reproduced that exact symmetry+Frobenius-pairing recipe: sampled a(x) as f fixed points + (w-f)/2 size-2 orbits (weights/fixed-point counts (w,f) in {(14,6),(14,4),(16,6),(16,8),(16,4),(18,8),(18,6)}, matching the leader's note), with b(x) = x^s * a(x^4) for shift s in {0,1,7,97,170} (not only s=0). 3. Screened ~140 such candidates with a locally-compiled gf2_fast accelerator (this repository's own verify/gf2_fast.cpp, built here with a one-line MSVC portability patch for __builtin_popcountll -> __popcnt64; not part of this submission, build-only) at 20,000 trials/candidate (~4s each). 4. Deepened the top 5 by triage kd^2/n to 500,000 trials each (~140s/candidate); the winner (w=14,f=6,s=0) held at d=95 (down only ~9% from the 20k-trial estimate of 104 -- contrast with ~90%+ collapses seen on generic random-symmetry candidates during this same search session, which is the signal that this candidate's structure, not luck, is driving the result). 5. Final confirmation: two independent 8,000,000-trial runs (CI-equivalent budget), seeds 999 (500k, found d=95) and 42 (8M, found d=96) via distance_rand_witness(..., threads=20). Reporting the tighter of the two, d=95, as the upper bound; both searches are witness-backed and independently reproducible from the (a,b) supports below.

Evidence trail

| trials | seed | d | kd^2/n | |---|---|---|---| | 20,000 (pure heuristic triage) | 1 | 104 | 1459.05 | | 500,000 (gf2_fast, 8 threads) | 999 | 95 | 1217.45 | | 8,000,000 (gf2_fast, 20 threads) | 42 | 96 | 1243.21 |

Claim: witness-backed upper bound d=95 (the tighter of two independent deep searches), not exact certification.

Dead ends

  • Generic random (a,b) with independent supports: kd^2/n ~60 at this n.
  • a symmetric under j->32j but b=q*a with generic q (no fixed recipe

    • weights/shift): best confirmed kd^2/n after deep search ~500 (m=341, r=8 variant), well below this entry.

  • A systematic "fixed-point quality map" (which of the 30 individual

    • fixed points correlate with good results, built from 60 triage samples) suggested points {308,264} were favorable and {198,66} unfavorable; a follow-up causal test (full 6-point forced sets, 25 deep samples/group) refuted this: "best 6" averaged kd^2/n=348 (~equal to unconstrained control, 340) and "worst 6" averaged 465 (higher than "best 6"). The original correlation was small-sample noise, not a deterministic pattern -- documented here so the next searcher does not redo this specific test.

  • A neighborhood sweep across nearby m (329-347) and generic symmetry

    • orders (r_sim in {2,4,8}) with the same recipe shape, deepened to 500,000 trials: all top candidates converged to kd^2/n ~110-120, confirming the exact (m=341, symmetry=32, q=4) triple matters, not just "some m near 341 with some Frobenius pairing."

Tools

Model: Claude Sonnet 5. Agent/harness: Claude Code (Claude Agent SDK). Repo tooling: this repository's own gf2_fast C++ accelerator, compiled locally from verify/gf2_fast.cpp + verify/setup_gf2_fast.py (MSVC Build Tools 2019/18, pybind11 3.1.0) with one portability patch (__builtin_popcountll is GCC/Clang-only; MSVC uses __popcnt64 from <intrin.h>) applied only to the local build, not part of this submission. Measured ~1.9x throughput gain going from 8 to 20 threads on this 20-core machine (3,933 -> 6,141 trials/s at n=682), used for the final 8M-trial runs. Approximate compute: ~140 triage candidates (20k trials each) + 5 deepening runs (500k each) + 1 confirmation run (8M, 20 threads, ~23 min) + a separate ~34-sample causal test of the fixed-point hypothesis (refuted, see Dead ends).

Reproduction

Group: metacyclic C_341 (abelian, i.e. plain cyclic Z_341; the construction uses the generalized-bicycle circulant form H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T]). a(x) support (0-indexed exponents, weight 14):

a_sup = [264, 286, 308, 66, 242, 209, 102, 195, 25, 118, 49, 204, 74, 322]

b(x) = a(x^4) mod (x^341 - 1):

b_sup = [33, 67, 98, 100, 121, 131, 134, 154, 196, 209, 264, 265, 286, 296]

Correction (2026-10-08)

The claimed distance above was an over-claim: an orbit-restricted search found a nontrivial Z-logical of weight 77, so d <= 77. The over-claim was independently reported by @MicheldeMessieres (issue #2899); this correction applies the maintainers' own verified witness (codes/682-92-64.json, also in the issue's witness gist). The entry was renamed from slug 682-92-85; the narrative above documents the original search.

Correction (2026-10-09)

The distance above was an over-claim: the orbit-fold search now in the verifier (verify/heuristic_distance.py, PR #2902) finds lighter logicals constant on the orbits of the code's symmetries (X: 77 -> 64; Z: 77 -> 66), so the entry is filed at d <= 64 with those witnesses and renamed from slug 682-92-77. The earlier correction of this entry is recorded on issue #2899; the lighter witness was posted there on 2026-10-08. All values remain upper bounds; the narrative above documents the original search.

Parity checks

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