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[[466,60,57]] d ≤
n
466
k
60
d
57
kd²/n
418.326
w
20
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 57, d_Z ≤ 57 · w_X = 20, w_Z = 20 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 57 · witness weight 57 (claimed upper_bound)
witness operator (support, 57 qubits)
[1, 15, 16, 37, 40, 46, 69, 87, 103, 107, 117, 118, 124, 131, 136, 138, 139, 171, 192, 201, 209, 226, 232, 254, 269, 277, 282, 284, 297, 315, 322, 329, 333, 338, 339, 344, 345, 350, 354, 359, 366, 377, 378, 383, 386, 391, 404, 408, 410, 415, 417, 426, 432, 445, 450, 452, 461]
d_Z 57 · witness weight 57 (claimed upper_bound)
witness operator (support, 57 qubits)
[0, 13, 15, 17, 37, 39, 41, 59, 85, 91, 92, 99, 127, 128, 132, 142, 153, 156, 162, 177, 180, 181, 188, 206, 214, 219, 220, 223, 231, 237, 250, 251, 252, 257, 266, 290, 306, 312, 315, 319, 326, 333, 338, 357, 367, 377, 379, 393, 394, 397, 401, 419, 420, 428, 457, 461, 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 20 · H_Z 20
qubit degrees H_X 8–12 (mean 10.0) · H_Z 8–12 (mean 10.0)
trapping sets H_X (1,8)×233 (2,12)×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
(1,8): 233 (1,12): 233 (2,12): 466 (2,14): 5825 (2,16): 2796 (2,18): 16776 (2,20): 2330 (2,22): 8621
trapping sets H_Z (1,8)×233 (2,12)×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
(1,8): 233 (1,12): 233 (2,12): 466 (2,14): 5825 (2,16): 2796 (2,18): 16776 (2,20): 2330 (2,22): 8621

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 30, which fixes k = 2 deg g = 60 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 8 and 12; 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 20, with a = [25, 63, 117, 125, 164, 179, 192, 227] and b = [10, 16, 19, 36, 73, 82, 88, 109, 124, 168, 196, 228].
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 57 on X and 57 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 57 to 61 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 68. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 176. The design point is deg g / m = 0.129.
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" ---

[[466,60,57]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 233

At row weight 20 or lighter, the best distance on the board with n <= 466 and k >= 60 is 31, at [[390,82,31]] and row weight 16. This entry reaches 57. 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 30 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 2 cosets of total degree 30, 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.

The divisor carries the root-1 coset, so both polynomial weights are even by construction and (x + 1) divides the common gcd by design rather than by accident. Here a has weight 8 and b has weight 12.

Evidence trail

deg gcd(a, x^233 - 1) = 30, deg gcd(b, x^233 - 1) = 30 and deg gcd(a, b, x^233 - 1) = 30, 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 57. The per-seed spread: 4 seeds found 57, 5 seeds found 58, 7 seeds found 59, 7 seeds found 60, 1 seed found 61. The single-block logicals form the cyclic code of dimension 30 whose zeros are the 203 residues the divisor leaves out; the longest run of consecutive residues among them is 28, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 29 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 68. 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 57, and the claim is the lighter of the two.

Dead ends

  • [[466,60,56]] from the same front is lighter at row weight 18 and stops at 56, so neither settles the other.
  • This design point was swept to convergence before anything was gated: 1,342 draws left the front at row weight 18 reaching 66 and row weight 20 reaching 68 at triage, with nothing lighter than weight 18 beating the board at all. Both were gated and both survive, because the lighter draw stops lower, so neither settles the other and the cell held no entry before them.

The reading before this gate was 68, against a gated 57. 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 = {25, 63, 117, 125, 164, 179, 192, 227} and b = {10, 16, 19, 36, 73, 82, 88, 109, 124, 168, 196, 228} 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/466-60-57.json carries both matrices row by row and both distance witnesses.

Parity checks

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