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[[466,118,46]] d ≤
n
466
k
118
d
46
kd²/n
535.811
w
30
X/Z
1.02

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Distance

X/Z asymmetry 1.02 · d_X ≤ 46, d_Z ≤ 47 · w_X = 30, w_Z = 30 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 46 · witness weight 46 (claimed upper_bound)
witness operator (support, 46 qubits)
[1, 30, 38, 47, 57, 66, 95, 118, 122, 125, 127, 158, 168, 175, 177, 188, 199, 200, 210, 242, 245, 247, 256, 258, 272, 284, 308, 313, 328, 331, 335, 342, 344, 352, 369, 391, 394, 400, 403, 405, 423, 424, 438, 450, 461, 463]
d_Z 47 · witness weight 47 (claimed upper_bound)
witness operator (support, 47 qubits)
[11, 12, 16, 18, 19, 33, 44, 51, 69, 80, 81, 85, 94, 102, 107, 114, 121, 160, 168, 191, 198, 203, 206, 212, 213, 225, 239, 249, 252, 257, 263, 275, 336, 338, 351, 363, 367, 370, 378, 382, 391, 394, 400, 411, 433, 448, 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 30 · H_Z 30
qubit degrees H_X 14–16 (mean 15.0) · H_Z 14–16 (mean 15.0)
trapping sets H_X (1,14)×233 (2,20)×233 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,14): 233 (1,16): 233 (2,20): 233 (2,22): 699 (2,24): 7223 (2,26): 23300 (2,28): 26096 (2,30): 11650
trapping sets H_Z (1,14)×233 (2,20)×233 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,14): 233 (1,16): 233 (2,20): 233 (2,22): 699 (2,24): 7223 (2,26): 23300 (2,28): 26096 (2,30): 11650

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 59, which fixes k = 2 deg g = 118 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 14 and 16; 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 30, with a = [10, 31, 52, 60, 64, 80, 93, 110, 113, 144, 146, 154, 159, 186] and b = [51, 59, 71, 79, 85, 88, 90, 94, 113, 129, 141, 152, 155, 162, 197, 200].
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 46 on X and 47 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 46 to 50 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 48. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 50. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 120. The design point is deg g / m = 0.253.
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" ---

[[466,118,46]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 233

At row weight 30 or lighter, the best distance on the board with n <= 466 and k >= 118 is 18, at [[444,154,18]] and row weight 12. This entry reaches 46.

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 59 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 3 cosets of total degree 59, 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 14 and b has weight 16.

Evidence trail

deg gcd(a, x^233 - 1) = 59, deg gcd(b, x^233 - 1) = 59 and deg gcd(a, b, x^233 - 1) = 59, 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 46. The per-seed spread: 1 seed found 46, 4 seeds found 47, 8 seeds found 48, 7 seeds found 49, 4 seeds found 50. The single-block logicals form the cyclic code of dimension 59 whose zeros are the 174 residues the divisor leaves out; the longest run of consecutive residues among them is 26, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 27 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 50. 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 48.

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 46 and the Z witness weighs 47, and the claim is the lighter of the two.

Dead ends

  • The draw one divisor degree down, 58 against 59 here, gives k=116 and is still being gated; it read 44 at 13 of its 24 seeds, so the two adjacent degrees land within a couple of points of each other and neither settles the other.

The reading before this gate was 50, against a gated 46.

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 = {10, 31, 52, 60, 64, 80, 93, 110, 113, 144, 146, 154, 159, 186} and b = {51, 59, 71, 79, 85, 88, 90, 94, 113, 129, 141, 152, 155, 162, 197, 200} 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/466-118-46.json carries both matrices row by row and both distance witnesses.

Parity checks

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