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[[466,58,56]] d ≤
n
466
k
58
d
56
kd²/n
390.318
w
18
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 56, d_Z ≤ 56 · w_X = 18, w_Z = 18 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 56 · witness weight 56 (claimed upper_bound)
witness operator (support, 56 qubits)
[0, 10, 32, 40, 50, 58, 76, 80, 92, 111, 113, 115, 141, 147, 152, 155, 176, 178, 195, 197, 198, 206, 210, 214, 221, 224, 227, 231, 240, 254, 262, 267, 274, 279, 293, 295, 300, 307, 316, 317, 344, 351, 352, 358, 360, 369, 370, 375, 413, 417, 418, 427, 435, 451, 459, 460]
d_Z 56 · witness weight 56 (claimed upper_bound)
witness operator (support, 56 qubits)
[8, 21, 29, 41, 43, 48, 50, 51, 68, 69, 70, 80, 86, 89, 93, 98, 106, 109, 114, 120, 137, 138, 160, 167, 182, 194, 196, 207, 215, 222, 229, 234, 242, 252, 261, 284, 288, 296, 304, 309, 316, 318, 321, 330, 331, 341, 344, 354, 360, 366, 377, 423, 432, 443, 452, 458]
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 18 · H_Z 18
qubit degrees H_X 7–11 (mean 9.0) · H_Z 7–11 (mean 9.0)
trapping sets H_X (1,7)×233 (2,10)×466 (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
(1,7): 233 (1,11): 233 (2,10): 466 (2,12): 3961 (2,14): 3262 (2,16): 11417 (2,18): 1864 (2,20): 9087
trapping sets H_Z (1,7)×233 (2,10)×466 (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
(1,7): 233 (1,11): 233 (2,10): 466 (2,12): 3961 (2,14): 3262 (2,16): 11417 (2,18): 1864 (2,20): 9087

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized bicycle at m=233, a prime with ord_2(m)=29, so the nontrivial cyclotomic cosets of 2 all have size 29. The divisor g is one such coset's minimal polynomial, of degree 29, which fixes k = 2 deg g = 58 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 11 and 7; both are odd, so x+1 does not divide the gcd and no weight-m block logical is forced. H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T] on n = 2m = 466 qubits at uniform row weight 18, with a = [9, 11, 23, 35, 53, 69, 94, 160, 200, 208, 215] and b = [29, 41, 55, 72, 97, 133, 150].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-14
notes Distance is an upper bound from the lighter of two witnesses, weight 56 on X and 56 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 56 to 62 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 58. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 66. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 176. The design point is deg g / m = 0.124.
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

--- author: "@vprusso" ---

[[466,58,56]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 233

At row weight 18 or lighter, the best distance on the board with n <= 466 and k >= 58 is 31, at [[390,82,31]] and row weight 16. This entry reaches 56. Allowing any row weight, the board's best in the same n and k range is 46, at [[466,118,46]] and row weight 30.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension follows from a polynomial gcd and can be set rather than waited for: build a divisor g of chosen degree and draw a and b as low-weight codewords of its ideal. Two mechanisms cap this family from opposite ends. A proper divisor t of m gives a quotient-fold ceiling of (m/t) d_t, which binds at low dimension, and the single-block cyclic code of dimension deg g carries a light logical inside one circulant block at high dimension. Degree 29 sits where both are weak here.

What was searched

m = 233 with ord_2(233) = 29, so the cyclotomic cosets of x^233 - 1 over GF(2) number 9 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 1 coset of total degree 29, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

Draws with two even weights are rejected: (x + 1) divides a binary polynomial exactly when its weight is even, so two even weights would add the root-1 coset to the common gcd and land the draw one degree above the target. Here a has weight 11 and b has weight 7.

Evidence trail

deg gcd(a, x^233 - 1) = 29, deg gcd(b, x^233 - 1) = 29 and deg gcd(a, b, x^233 - 1) = 29, so the leak between the single-block kernels and k is 0.

A 24-seed gate at 2,000,000 information-set trials per seed settled at 56. The per-seed spread: 3 seeds found 56, 9 seeds found 58, 11 seeds found 60, 1 seed found 62. The single-block logicals form the cyclic code of dimension 29 whose zeros are the 204 residues the divisor leaves out; the longest run of consecutive residues among them is 43, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 44 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 66. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. A single uninterrupted run of 8,000,000 trials, matching the depth the verifier itself reaches, reads 58.

The claim is a witness-backed upper bound, not certified. Both witnesses are in the submitted JSON, commute with the opposite check matrix and lie outside its row space; each weighs 56, and the claim is the lighter of the two.

Dead ends

  • [[466,58,54]] from the same front stops at 54 at the heavier row weight 20, so this entry beats it on both distance and weight.
  • [[466,58,52]] from the same front is lighter at row weight 16 and stops at 52, so neither settles the other.
  • The whole weight ladder at this design point was gated rather than just the draw with the highest triage: row weight 16 settled at 52, row weight 18 at 56, and two row-weight-20 draws at 54 and 58. The distance is set by the modulus and the divisor degree, not by the weight, so a point like this yields one distance across a range of weights and the comparison between them is what decides which are worth entries.

The reading before this gate was 66, against a gated 56. Every member of this front moved the same way, which is why all of them were gated rather than filed off the sweep.

Tools

Claude Opus 5 driving a Claude Code session. Distance readings and single-block searches come from the repository's verify/gf2_fast extension; divisor assembly, coset selection and the information-set draws are session tooling outside this repository, described above in enough detail to rewrite.

Reproduction

m = 233, n = 2m = 466. With a = {9, 11, 23, 35, 53, 69, 94, 160, 200, 208, 215} and b = {29, 41, 55, 72, 97, 133, 150} as exponent sets,

H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]

where circ(s)[i, (i + e) mod m] = 1 for each e in s. The submitted codes/466-58-56.json carries both matrices row by row and both distance witnesses.

Parity checks

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