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[[466,58,52]] d ≤
n
466
k
58
d
52
kd²/n
336.549
w
16
X/Z
1.08

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Distance

X/Z asymmetry 1.08 · d_X ≤ 56, d_Z ≤ 52 · 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 56 · witness weight 56 (claimed upper_bound)
witness operator (support, 56 qubits)
[1, 3, 15, 19, 28, 43, 51, 63, 77, 78, 79, 84, 95, 102, 120, 130, 160, 182, 192, 197, 206, 212, 216, 217, 234, 235, 242, 247, 266, 279, 288, 295, 306, 311, 328, 332, 335, 336, 345, 350, 352, 359, 372, 379, 405, 407, 419, 423, 437, 438, 443, 445, 447, 457, 461, 464]
d_Z 52 · witness weight 52 (claimed upper_bound)
witness operator (support, 52 qubits)
[6, 9, 12, 16, 33, 46, 49, 50, 52, 57, 59, 79, 88, 101, 107, 112, 127, 137, 138, 140, 151, 154, 167, 173, 175, 184, 187, 198, 220, 234, 237, 238, 241, 250, 261, 289, 300, 303, 331, 341, 346, 348, 374, 399, 428, 430, 432, 434, 444, 456, 460, 463]
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 7–9 (mean 8.0) · H_Z 7–9 (mean 8.0)
trapping sets H_X (1,7)×233 (2,10)×699 (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 (1,9): 233 (2,10): 699 (2,12): 5359 (2,14): 12582 (2,16): 5825
trapping sets H_Z (1,7)×233 (2,10)×699 (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 (1,9): 233 (2,10): 699 (2,12): 5359 (2,14): 12582 (2,16): 5825

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 7 and 9; 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 16, with a = [14, 21, 47, 74, 115, 129, 142] and b = [14, 29, 32, 69, 97, 118, 147, 183, 187].
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 52 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 52 to 60 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 56. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 64. 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" ---

[[466,58,52]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 233

At row weight 16 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 52. 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 7 and b has weight 9.

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 52. The per-seed spread: 1 seed found 52, 1 seed found 54, 5 seeds found 56, 13 seeds found 58, 4 seeds found 60. 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 64. 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 56.

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; the X witness weighs 56 and the Z witness weighs 52, and the claim is the lighter of the two.

Dead ends

  • [[466,58,56]] from the same front reaches 56, 4 more, but at row weight 18 against 16 here, so neither settles the other.
  • Four draws at this design point were gated across the weight ladder: row weight 16 here at 52, row weight 18 at 56, and two row-weight-20 draws at 54 and 58. Only this one and the weight-18 draw survive the comparison between them; the weight-20 draw at 54 is beaten on both axes by weight 18 at 56.

The reading before this gate was 64, against a gated 52. 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 = {14, 21, 47, 74, 115, 129, 142} and b = {14, 29, 32, 69, 97, 118, 147, 183, 187} 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/466-58-52.json carries both matrices row by row and both distance witnesses.

Parity checks

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