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[[482,96,48]] d ≤
n
482
k
96
d
48
kd²/n
458.888
w
22
X/Z
1.08

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Distance

X/Z asymmetry 1.08 · d_X ≤ 52, d_Z ≤ 48 · w_X = 22, w_Z = 22 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 52 · witness weight 52 (claimed upper_bound)
witness operator (support, 52 qubits)
[0, 1, 12, 16, 30, 36, 37, 43, 45, 47, 52, 56, 61, 85, 93, 95, 102, 123, 131, 146, 157, 158, 166, 171, 195, 217, 234, 249, 257, 268, 273, 287, 299, 305, 311, 317, 322, 367, 370, 374, 377, 397, 406, 410, 413, 416, 437, 443, 460, 462, 468, 478]
d_Z 48 · witness weight 48 (claimed upper_bound)
witness operator (support, 48 qubits)
[46, 57, 78, 89, 97, 106, 116, 117, 120, 133, 144, 149, 165, 174, 197, 203, 208, 214, 218, 228, 232, 249, 252, 253, 255, 260, 271, 277, 295, 325, 334, 342, 349, 354, 357, 371, 372, 377, 405, 407, 427, 435, 439, 446, 452, 456, 460, 465]
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 22 · H_Z 22
qubit degrees H_X 11 · H_Z 11
trapping sets H_X (1,11)×482 (2,16)×482 (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
(1,11): 482 (2,16): 482 (2,18): 5784 (2,20): 42657
trapping sets H_Z (1,11)×482 (2,16)×482 (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
(1,11): 482 (2,16): 482 (2,18): 5784 (2,20): 42657

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized-bicycle code on the ring x241 - 1 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Both a and b lie in the ideal generated by a divisor of x241 - 1 whose degree fixes k = 2 deg gcd(a, b, x241 - 1).
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-14
notes m = 241 is prime with ord_2(m) = 24, so the only proper divisor of m is 1 and every quotient fold is vacuous: the ceiling (m/t) d_t that binds a composite modulus does not exist here. That leaves two mechanisms. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. The single-block logicals of H_X form the cyclic code of dimension deg g whose zeros are the residues the divisor leaves out, and the coset subset is chosen among those reachable at the target degree to maximise the longest run of consecutive residues among them, which is what the Bose-Chaudhuri-Hocquenghem bound reads; a direct search confined to one circulant block at 12 seeds of 600,000 trials confirms it. The distance is a witness-backed upper bound from a 24-seed gate at 2,000,000 information-set trials per seed.
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" ---

[[482,96,48]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 241

At row weight 22 or lighter, the best distance on the board with n <= 482 and k >= 96 is 18, at [[448,112,18]] and row weight 10. This entry reaches 48. Allowing any row weight, the board's best in the same n and k range is 33, at [[482,146,33]] and row weight 28.

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 48 sits where both are weak here.

What was searched

m = 241 with ord_2(241) = 24, so the cyclotomic cosets of x^241 - 1 over GF(2) number 11 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 2 cosets of total degree 48, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

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

Evidence trail

deg gcd(a, x^241 - 1) = 48, deg gcd(b, x^241 - 1) = 48 and deg gcd(a, b, x^241 - 1) = 48, 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 48. The per-seed spread: 1 seed found 48, 4 seeds found 52, 8 seeds found 54, 11 seeds found 56. The single-block logicals form the cyclic code of dimension 48 whose zeros are the 193 residues the divisor leaves out; the longest run of consecutive residues among them is 49, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 50 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 62. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim.

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 52 and the Z witness weighs 48, and the claim is the lighter of the two.

Dead ends

  • Nothing else from this front survived its gate.
  • m = 241 was added late, from a ranking of every reachable design point by the longest unpicked run of its coset pick. It is one of ten primes under the blocklength cap with a workable ord_2, and at a prime modulus every quotient fold is vacuous.
  • Degree 24 at this modulus has a run of 70 against a cell threshold of 32 and is the widest structural headroom of any point tried; the present code sits at degree 48, whose run is 49, so its single block admits logicals as light as 50 and the search rather than the structure is what limits it.

The triage reading for this pair was 60, against a gated 48. 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 = 241, n = 2m = 482. With a = {26, 62, 74, 104, 107, 113, 120, 141, 194, 196, 200} and b = {26, 34, 58, 71, 76, 83, 156, 171, 181, 206, 215} 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/482-96-48.json carries both matrices row by row and both distance witnesses.

Parity checks

X-checks 241 (max weight 22) · Z-checks 241 (max weight 22)
H_X (241 checks, sparse supports)
[26, 62, 74, 104, 107, 113, 120, 141, 194, 196, 200, 267, 275, 299, 312, 317, 324, 397, 412, 422, 447, 456] [27, 63, 75, 105, 108, 114, 121, 142, 195, 197, 201, 268, 276, 300, 313, 318, 325, 398, 413, 423, 448, 457] [28, 64, 76, 106, 109, 115, 122, 143, 196, 198, 202, 269, 277, 301, 314, 319, 326, 399, 414, 424, 449, 458] [29, 65, 77, 107, 110, 116, 123, 144, 197, 199, 203, 270, 278, 302, 315, 320, 327, 400, 415, 425, 450, 459] [30, 66, 78, 108, 111, 117, 124, 145, 198, 200, 204, 271, 279, 303, 316, 321, 328, 401, 416, 426, 451, 460] [31, 67, 79, 109, 112, 118, 125, 146, 199, 201, 205, 272, 280, 304, 317, 322, 329, 402, 417, 427, 452, 461] [32, 68, 80, 110, 113, 119, 126, 147, 200, 202, 206, 273, 281, 305, 318, 323, 330, 403, 418, 428, 453, 462] [33, 69, 81, 111, 114, 120, 127, 148, 201, 203, 207, 274, 282, 306, 319, 324, 331, 404, 419, 429, 454, 463] [34, 70, 82, 112, 115, 121, 128, 149, 202, 204, 208, 275, 283, 307, 320, 325, 332, 405, 420, 430, 455, 464] [35, 71, 83, 113, 116, 122, 129, 150, 203, 205, 209, 276, 284, 308, 321, 326, 333, 406, 421, 431, 456, 465] [36, 72, 84, 114, 117, 123, 130, 151, 204, 206, 210, 277, 285, 309, 322, 327, 334, 407, 422, 432, 457, 466] [37, 73, 85, 115, 118, 124, 131, 152, 205, 207, 211, 278, 286, 310, 323, 328, 335, 408, 423, 433, 458, 467] [38, 74, 86, 116, 119, 125, 132, 153, 206, 208, 212, 279, 287, 311, 324, 329, 336, 409, 424, 434, 459, 468] [39, 75, 87, 117, 120, 126, 133, 154, 207, 209, 213, 280, 288, 312, 325, 330, 337, 410, 425, 435, 460, 469] [40, 76, 88, 118, 121, 127, 134, 155, 208, 210, 214, 281, 289, 313, 326, 331, 338, 411, 426, 436, 461, 470] [41, 77, 89, 119, 122, 128, 135, 156, 209, 211, 215, 282, 290, 314, 327, 332, 339, 412, 427, 437, 462, 471] [42, 78, 90, 120, 123, 129, 136, 157, 210, 212, 216, 283, 291, 315, 328, 333, 340, 413, 428, 438, 463, 472] [43, 79, 91, 121, 124, 130, 137, 158, 211, 213, 217, 284, 292, 316, 329, 334, 341, 414, 429, 439, 464, 473] [44, 80, 92, 122, 125, 131, 138, 159, 212, 214, 218, 285, 293, 317, 330, 335, 342, 415, 430, 440, 465, 474] [45, 81, 93, 123, 126, 132, 139, 160, 213, 215, 219, 286, 294, 318, 331, 336, 343, 416, 431, 441, 466, 475] [46, 82, 94, 124, 127, 133, 140, 161, 214, 216, 220, 287, 295, 319, 332, 337, 344, 417, 432, 442, 467, 476] [47, 83, 95, 125, 128, 134, 141, 162, 215, 217, 221, 288, 296, 320, 333, 338, 345, 418, 433, 443, 468, 477] [48, 84, 96, 126, 129, 135, 142, 163, 216, 218, 222, 289, 297, 321, 334, 339, 346, 419, 434, 444, 469, 478] [49, 85, 97, 127, 130, 136, 143, 164, 217, 219, 223, 290, 298, 322, 335, 340, 347, 420, 435, 445, 470, 479] [50, 86, 98, 128, 131, 137, 144, 165, 218, 220, 224, 291, 299, 323, 336, 341, 348, 421, 436, 446, 471, 480] [51, 87, 99, 129, 132, 138, 145, 166, 219, 221, 225, 292, 300, 324, 337, 342, 349, 422, 437, 447, 472, 481] [52, 88, 100, 130, 133, 139, 146, 167, 220, 222, 226, 241, 293, 301, 325, 338, 343, 350, 423, 438, 448, 473] [53, 89, 101, 131, 134, 140, 147, 168, 221, 223, 227, 242, 294, 302, 326, 339, 344, 351, 424, 439, 449, 474] [54, 90, 102, 132, 135, 141, 148, 169, 222, 224, 228, 243, 295, 303, 327, 340, 345, 352, 425, 440, 450, 475] [55, 91, 103, 133, 136, 142, 149, 170, 223, 225, 229, 244, 296, 304, 328, 341, 346, 353, 426, 441, 451, 476] [56, 92, 104, 134, 137, 143, 150, 171, 224, 226, 230, 245, 297, 305, 329, 342, 347, 354, 427, 442, 452, 477] [57, 93, 105, 135, 138, 144, 151, 172, 225, 227, 231, 246, 298, 306, 330, 343, 348, 355, 428, 443, 453, 478] [58, 94, 106, 136, 139, 145, 152, 173, 226, 228, 232, 247, 299, 307, 331, 344, 349, 356, 429, 444, 454, 479] [59, 95, 107, 137, 140, 146, 153, 174, 227, 229, 233, 248, 300, 308, 332, 345, 350, 357, 430, 445, 455, 480] [60, 96, 108, 138, 141, 147, 154, 175, 228, 230, 234, 249, 301, 309, 333, 346, 351, 358, 431, 446, 456, 481] [61, 97, 109, 139, 142, 148, 155, 176, 229, 231, 235, 241, 250, 302, 310, 334, 347, 352, 359, 432, 447, 457] [62, 98, 110, 140, 143, 149, 156, 177, 230, 232, 236, 242, 251, 303, 311, 335, 348, 353, 360, 433, 448, 458] [63, 99, 111, 141, 144, 150, 157, 178, 231, 233, 237, 243, 252, 304, 312, 336, 349, 354, 361, 434, 449, 459] [64, 100, 112, 142, 145, 151, 158, 179, 232, 234, 238, 244, 253, 305, 313, 337, 350, 355, 362, 435, 450, 460] [65, 101, 113, 143, 146, 152, 159, 180, 233, 235, 239, 245, 254, 306, 314, 338, 351, 356, 363, 436, 451, 461] [66, 102, 114, 144, 147, 153, 160, 181, 234, 236, 240, 246, 255, 307, 315, 339, 352, 357, 364, 437, 452, 462] [0, 67, 103, 115, 145, 148, 154, 161, 182, 235, 237, 247, 256, 308, 316, 340, 353, 358, 365, 438, 453, 463] [1, 68, 104, 116, 146, 149, 155, 162, 183, 236, 238, 248, 257, 309, 317, 341, 354, 359, 366, 439, 454, 464] [2, 69, 105, 117, 147, 150, 156, 163, 184, 237, 239, 249, 258, 310, 318, 342, 355, 360, 367, 440, 455, 465] [3, 70, 106, 118, 148, 151, 157, 164, 185, 238, 240, 250, 259, 311, 319, 343, 356, 361, 368, 441, 456, 466] [0, 4, 71, 107, 119, 149, 152, 158, 165, 186, 239, 251, 260, 312, 320, 344, 357, 362, 369, 442, 457, 467] [1, 5, 72, 108, 120, 150, 153, 159, 166, 187, 240, 252, 261, 313, 321, 345, 358, 363, 370, 443, 458, 468] [0, 2, 6, 73, 109, 121, 151, 154, 160, 167, 188, 253, 262, 314, 322, 346, 359, 364, 371, 444, 459, 469] [1, 3, 7, 74, 110, 122, 152, 155, 161, 168, 189, 254, 263, 315, 323, 347, 360, 365, 372, 445, 460, 470] [2, 4, 8, 75, 111, 123, 153, 156, 162, 169, 190, 255, 264, 316, 324, 348, 361, 366, 373, 446, 461, 471] [3, 5, 9, 76, 112, 124, 154, 157, 163, 170, 191, 256, 265, 317, 325, 349, 362, 367, 374, 447, 462, 472] [4, 6, 10, 77, 113, 125, 155, 158, 164, 171, 192, 257, 266, 318, 326, 350, 363, 368, 375, 448, 463, 473] [5, 7, 11, 78, 114, 126, 156, 159, 165, 172, 193, 258, 267, 319, 327, 351, 364, 369, 376, 449, 464, 474] [6, 8, 12, 79, 115, 127, 157, 160, 166, 173, 194, 259, 268, 320, 328, 352, 365, 370, 377, 450, 465, 475] [7, 9, 13, 80, 116, 128, 158, 161, 167, 174, 195, 260, 269, 321, 329, 353, 366, 371, 378, 451, 466, 476] [8, 10, 14, 81, 117, 129, 159, 162, 168, 175, 196, 261, 270, 322, 330, 354, 367, 372, 379, 452, 467, 477] [9, 11, 15, 82, 118, 130, 160, 163, 169, 176, 197, 262, 271, 323, 331, 355, 368, 373, 380, 453, 468, 478] [10, 12, 16, 83, 119, 131, 161, 164, 170, 177, 198, 263, 272, 324, 332, 356, 369, 374, 381, 454, 469, 479] [11, 13, 17, 84, 120, 132, 162, 165, 171, 178, 199, 264, 273, 325, 333, 357, 370, 375, 382, 455, 470, 480] [12, 14, 18, 85, 121, 133, 163, 166, 172, 179, 200, 265, 274, 326, 334, 358, 371, 376, 383, 456, 471, 481] [13, 15, 19, 86, 122, 134, 164, 167, 173, 180, 201, 241, 266, 275, 327, 335, 359, 372, 377, 384, 457, 472] [14, 16, 20, 87, 123, 135, 165, 168, 174, 181, 202, 242, 267, 276, 328, 336, 360, 373, 378, 385, 458, 473] [15, 17, 21, 88, 124, 136, 166, 169, 175, 182, 203, 243, 268, 277, 329, 337, 361, 374, 379, 386, 459, 474] [16, 18, 22, 89, 125, 137, 167, 170, 176, 183, 204, 244, 269, 278, 330, 338, 362, 375, 380, 387, 460, 475] [17, 19, 23, 90, 126, 138, 168, 171, 177, 184, 205, 245, 270, 279, 331, 339, 363, 376, 381, 388, 461, 476] [18, 20, 24, 91, 127, 139, 169, 172, 178, 185, 206, 246, 271, 280, 332, 340, 364, 377, 382, 389, 462, 477] [19, 21, 25, 92, 128, 140, 170, 173, 179, 186, 207, 247, 272, 281, 333, 341, 365, 378, 383, 390, 463, 478] [20, 22, 26, 93, 129, 141, 171, 174, 180, 187, 208, 248, 273, 282, 334, 342, 366, 379, 384, 391, 464, 479] [21, 23, 27, 94, 130, 142, 172, 175, 181, 188, 209, 249, 274, 283, 335, 343, 367, 380, 385, 392, 465, 480] [22, 24, 28, 95, 131, 143, 173, 176, 182, 189, 210, 250, 275, 284, 336, 344, 368, 381, 386, 393, 466, 481] [23, 25, 29, 96, 132, 144, 174, 177, 183, 190, 211, 241, 251, 276, 285, 337, 345, 369, 382, 387, 394, 467] [24, 26, 30, 97, 133, 145, 175, 178, 184, 191, 212, 242, 252, 277, 286, 338, 346, 370, 383, 388, 395, 468] [25, 27, 31, 98, 134, 146, 176, 179, 185, 192, 213, 243, 253, 278, 287, 339, 347, 371, 384, 389, 396, 469] [26, 28, 32, 99, 135, 147, 177, 180, 186, 193, 214, 244, 254, 279, 288, 340, 348, 372, 385, 390, 397, 470] [27, 29, 33, 100, 136, 148, 178, 181, 187, 194, 215, 245, 255, 280, 289, 341, 349, 373, 386, 391, 398, 471] [28, 30, 34, 101, 137, 149, 179, 182, 188, 195, 216, 246, 256, 281, 290, 342, 350, 374, 387, 392, 399, 472] [29, 31, 35, 102, 138, 150, 180, 183, 189, 196, 217, 247, 257, 282, 291, 343, 351, 375, 388, 393, 400, 473] [30, 32, 36, 103, 139, 151, 181, 184, 190, 197, 218, 248, 258, 283, 292, 344, 352, 376, 389, 394, 401, 474] [31, 33, 37, 104, 140, 152, 182, 185, 191, 198, 219, 249, 259, 284, 293, 345, 353, 377, 390, 395, 402, 475] [32, 34, 38, 105, 141, 153, 183, 186, 192, 199, 220, 250, 260, 285, 294, 346, 354, 378, 391, 396, 403, 476] [33, 35, 39, 106, 142, 154, 184, 187, 193, 200, 221, 251, 261, 286, 295, 347, 355, 379, 392, 397, 404, 477] [34, 36, 40, 107, 143, 155, 185, 188, 194, 201, 222, 252, 262, 287, 296, 348, 356, 380, 393, 398, 405, 478] [35, 37, 41, 108, 144, 156, 186, 189, 195, 202, 223, 253, 263, 288, 297, 349, 357, 381, 394, 399, 406, 479] [36, 38, 42, 109, 145, 157, 187, 190, 196, 203, 224, 254, 264, 289, 298, 350, 358, 382, 395, 400, 407, 480] [37, 39, 43, 110, 146, 158, 188, 191, 197, 204, 225, 255, 265, 290, 299, 351, 359, 383, 396, 401, 408, 481] [38, 40, 44, 111, 147, 159, 189, 192, 198, 205, 226, 241, 256, 266, 291, 300, 352, 360, 384, 397, 402, 409] [39, 41, 45, 112, 148, 160, 190, 193, 199, 206, 227, 242, 257, 267, 292, 301, 353, 361, 385, 398, 403, 410] [40, 42, 46, 113, 149, 161, 191, 194, 200, 207, 228, 243, 258, 268, 293, 302, 354, 362, 386, 399, 404, 411] [41, 43, 47, 114, 150, 162, 192, 195, 201, 208, 229, 244, 259, 269, 294, 303, 355, 363, 387, 400, 405, 412] [42, 44, 48, 115, 151, 163, 193, 196, 202, 209, 230, 245, 260, 270, 295, 304, 356, 364, 388, 401, 406, 413] [43, 45, 49, 116, 152, 164, 194, 197, 203, 210, 231, 246, 261, 271, 296, 305, 357, 365, 389, 402, 407, 414] [44, 46, 50, 117, 153, 165, 195, 198, 204, 211, 232, 247, 262, 272, 297, 306, 358, 366, 390, 403, 408, 415] [45, 47, 51, 118, 154, 166, 196, 199, 205, 212, 233, 248, 263, 273, 298, 307, 359, 367, 391, 404, 409, 416] [46, 48, 52, 119, 155, 167, 197, 200, 206, 213, 234, 249, 264, 274, 299, 308, 360, 368, 392, 405, 410, 417] [47, 49, 53, 120, 156, 168, 198, 201, 207, 214, 235, 250, 265, 275, 300, 309, 361, 369, 393, 406, 411, 418] [48, 50, 54, 121, 157, 169, 199, 202, 208, 215, 236, 251, 266, 276, 301, 310, 362, 370, 394, 407, 412, 419] [49, 51, 55, 122, 158, 170, 200, 203, 209, 216, 237, 252, 267, 277, 302, 311, 363, 371, 395, 408, 413, 420] [50, 52, 56, 123, 159, 171, 201, 204, 210, 217, 238, 253, 268, 278, 303, 312, 364, 372, 396, 409, 414, 421] [51, 53, 57, 124, 160, 172, 202, 205, 211, 218, 239, 254, 269, 279, 304, 313, 365, 373, 397, 410, 415, 422] [52, 54, 58, 125, 161, 173, 203, 206, 212, 219, 240, 255, 270, 280, 305, 314, 366, 374, 398, 411, 416, 423] [0, 53, 55, 59, 126, 162, 174, 204, 207, 213, 220, 256, 271, 281, 306, 315, 367, 375, 399, 412, 417, 424] [1, 54, 56, 60, 127, 163, 175, 205, 208, 214, 221, 257, 272, 282, 307, 316, 368, 376, 400, 413, 418, 425] [2, 55, 57, 61, 128, 164, 176, 206, 209, 215, 222, 258, 273, 283, 308, 317, 369, 377, 401, 414, 419, 426] [3, 56, 58, 62, 129, 165, 177, 207, 210, 216, 223, 259, 274, 284, 309, 318, 370, 378, 402, 415, 420, 427] [4, 57, 59, 63, 130, 166, 178, 208, 211, 217, 224, 260, 275, 285, 310, 319, 371, 379, 403, 416, 421, 428] [5, 58, 60, 64, 131, 167, 179, 209, 212, 218, 225, 261, 276, 286, 311, 320, 372, 380, 404, 417, 422, 429] [6, 59, 61, 65, 132, 168, 180, 210, 213, 219, 226, 262, 277, 287, 312, 321, 373, 381, 405, 418, 423, 430] [7, 60, 62, 66, 133, 169, 181, 211, 214, 220, 227, 263, 278, 288, 313, 322, 374, 382, 406, 419, 424, 431] [8, 61, 63, 67, 134, 170, 182, 212, 215, 221, 228, 264, 279, 289, 314, 323, 375, 383, 407, 420, 425, 432] [9, 62, 64, 68, 135, 171, 183, 213, 216, 222, 229, 265, 280, 290, 315, 324, 376, 384, 408, 421, 426, 433] [10, 63, 65, 69, 136, 172, 184, 214, 217, 223, 230, 266, 281, 291, 316, 325, 377, 385, 409, 422, 427, 434] [11, 64, 66, 70, 137, 173, 185, 215, 218, 224, 231, 267, 282, 292, 317, 326, 378, 386, 410, 423, 428, 435] [12, 65, 67, 71, 138, 174, 186, 216, 219, 225, 232, 268, 283, 293, 318, 327, 379, 387, 411, 424, 429, 436] [13, 66, 68, 72, 139, 175, 187, 217, 220, 226, 233, 269, 284, 294, 319, 328, 380, 388, 412, 425, 430, 437] [14, 67, 69, 73, 140, 176, 188, 218, 221, 227, 234, 270, 285, 295, 320, 329, 381, 389, 413, 426, 431, 438] [15, 68, 70, 74, 141, 177, 189, 219, 222, 228, 235, 271, 286, 296, 321, 330, 382, 390, 414, 427, 432, 439] [16, 69, 71, 75, 142, 178, 190, 220, 223, 229, 236, 272, 287, 297, 322, 331, 383, 391, 415, 428, 433, 440] [17, 70, 72, 76, 143, 179, 191, 221, 224, 230, 237, 273, 288, 298, 323, 332, 384, 392, 416, 429, 434, 441] [18, 71, 73, 77, 144, 180, 192, 222, 225, 231, 238, 274, 289, 299, 324, 333, 385, 393, 417, 430, 435, 442] [19, 72, 74, 78, 145, 181, 193, 223, 226, 232, 239, 275, 290, 300, 325, 334, 386, 394, 418, 431, 436, 443] [20, 73, 75, 79, 146, 182, 194, 224, 227, 233, 240, 276, 291, 301, 326, 335, 387, 395, 419, 432, 437, 444] [0, 21, 74, 76, 80, 147, 183, 195, 225, 228, 234, 277, 292, 302, 327, 336, 388, 396, 420, 433, 438, 445] [1, 22, 75, 77, 81, 148, 184, 196, 226, 229, 235, 278, 293, 303, 328, 337, 389, 397, 421, 434, 439, 446] [2, 23, 76, 78, 82, 149, 185, 197, 227, 230, 236, 279, 294, 304, 329, 338, 390, 398, 422, 435, 440, 447] [3, 24, 77, 79, 83, 150, 186, 198, 228, 231, 237, 280, 295, 305, 330, 339, 391, 399, 423, 436, 441, 448] [4, 25, 78, 80, 84, 151, 187, 199, 229, 232, 238, 281, 296, 306, 331, 340, 392, 400, 424, 437, 442, 449] [5, 26, 79, 81, 85, 152, 188, 200, 230, 233, 239, 282, 297, 307, 332, 341, 393, 401, 425, 438, 443, 450] [6, 27, 80, 82, 86, 153, 189, 201, 231, 234, 240, 283, 298, 308, 333, 342, 394, 402, 426, 439, 444, 451] [0, 7, 28, 81, 83, 87, 154, 190, 202, 232, 235, 284, 299, 309, 334, 343, 395, 403, 427, 440, 445, 452] [1, 8, 29, 82, 84, 88, 155, 191, 203, 233, 236, 285, 300, 310, 335, 344, 396, 404, 428, 441, 446, 453] [2, 9, 30, 83, 85, 89, 156, 192, 204, 234, 237, 286, 301, 311, 336, 345, 397, 405, 429, 442, 447, 454] [3, 10, 31, 84, 86, 90, 157, 193, 205, 235, 238, 287, 302, 312, 337, 346, 398, 406, 430, 443, 448, 455] [4, 11, 32, 85, 87, 91, 158, 194, 206, 236, 239, 288, 303, 313, 338, 347, 399, 407, 431, 444, 449, 456] [5, 12, 33, 86, 88, 92, 159, 195, 207, 237, 240, 289, 304, 314, 339, 348, 400, 408, 432, 445, 450, 457] [0, 6, 13, 34, 87, 89, 93, 160, 196, 208, 238, 290, 305, 315, 340, 349, 401, 409, 433, 446, 451, 458] [1, 7, 14, 35, 88, 90, 94, 161, 197, 209, 239, 291, 306, 316, 341, 350, 402, 410, 434, 447, 452, 459] [2, 8, 15, 36, 89, 91, 95, 162, 198, 210, 240, 292, 307, 317, 342, 351, 403, 411, 435, 448, 453, 460] [0, 3, 9, 16, 37, 90, 92, 96, 163, 199, 211, 293, 308, 318, 343, 352, 404, 412, 436, 449, 454, 461] [1, 4, 10, 17, 38, 91, 93, 97, 164, 200, 212, 294, 309, 319, 344, 353, 405, 413, 437, 450, 455, 462] [2, 5, 11, 18, 39, 92, 94, 98, 165, 201, 213, 295, 310, 320, 345, 354, 406, 414, 438, 451, 456, 463] [3, 6, 12, 19, 40, 93, 95, 99, 166, 202, 214, 296, 311, 321, 346, 355, 407, 415, 439, 452, 457, 464] [4, 7, 13, 20, 41, 94, 96, 100, 167, 203, 215, 297, 312, 322, 347, 356, 408, 416, 440, 453, 458, 465] [5, 8, 14, 21, 42, 95, 97, 101, 168, 204, 216, 298, 313, 323, 348, 357, 409, 417, 441, 454, 459, 466] [6, 9, 15, 22, 43, 96, 98, 102, 169, 205, 217, 299, 314, 324, 349, 358, 410, 418, 442, 455, 460, 467] [7, 10, 16, 23, 44, 97, 99, 103, 170, 206, 218, 300, 315, 325, 350, 359, 411, 419, 443, 456, 461, 468] [8, 11, 17, 24, 45, 98, 100, 104, 171, 207, 219, 301, 316, 326, 351, 360, 412, 420, 444, 457, 462, 469] [9, 12, 18, 25, 46, 99, 101, 105, 172, 208, 220, 302, 317, 327, 352, 361, 413, 421, 445, 458, 463, 470] [10, 13, 19, 26, 47, 100, 102, 106, 173, 209, 221, 303, 318, 328, 353, 362, 414, 422, 446, 459, 464, 471] [11, 14, 20, 27, 48, 101, 103, 107, 174, 210, 222, 304, 319, 329, 354, 363, 415, 423, 447, 460, 465, 472] [12, 15, 21, 28, 49, 102, 104, 108, 175, 211, 223, 305, 320, 330, 355, 364, 416, 424, 448, 461, 466, 473] [13, 16, 22, 29, 50, 103, 105, 109, 176, 212, 224, 306, 321, 331, 356, 365, 417, 425, 449, 462, 467, 474] [14, 17, 23, 30, 51, 104, 106, 110, 177, 213, 225, 307, 322, 332, 357, 366, 418, 426, 450, 463, 468, 475] [15, 18, 24, 31, 52, 105, 107, 111, 178, 214, 226, 308, 323, 333, 358, 367, 419, 427, 451, 464, 469, 476] [16, 19, 25, 32, 53, 106, 108, 112, 179, 215, 227, 309, 324, 334, 359, 368, 420, 428, 452, 465, 470, 477] [17, 20, 26, 33, 54, 107, 109, 113, 180, 216, 228, 310, 325, 335, 360, 369, 421, 429, 453, 466, 471, 478] [18, 21, 27, 34, 55, 108, 110, 114, 181, 217, 229, 311, 326, 336, 361, 370, 422, 430, 454, 467, 472, 479] [19, 22, 28, 35, 56, 109, 111, 115, 182, 218, 230, 312, 327, 337, 362, 371, 423, 431, 455, 468, 473, 480] [20, 23, 29, 36, 57, 110, 112, 116, 183, 219, 231, 313, 328, 338, 363, 372, 424, 432, 456, 469, 474, 481] [21, 24, 30, 37, 58, 111, 113, 117, 184, 220, 232, 241, 314, 329, 339, 364, 373, 425, 433, 457, 470, 475] [22, 25, 31, 38, 59, 112, 114, 118, 185, 221, 233, 242, 315, 330, 340, 365, 374, 426, 434, 458, 471, 476] [23, 26, 32, 39, 60, 113, 115, 119, 186, 222, 234, 243, 316, 331, 341, 366, 375, 427, 435, 459, 472, 477] [24, 27, 33, 40, 61, 114, 116, 120, 187, 223, 235, 244, 317, 332, 342, 367, 376, 428, 436, 460, 473, 478] [25, 28, 34, 41, 62, 115, 117, 121, 188, 224, 236, 245, 318, 333, 343, 368, 377, 429, 437, 461, 474, 479] [26, 29, 35, 42, 63, 116, 118, 122, 189, 225, 237, 246, 319, 334, 344, 369, 378, 430, 438, 462, 475, 480] [27, 30, 36, 43, 64, 117, 119, 123, 190, 226, 238, 247, 320, 335, 345, 370, 379, 431, 439, 463, 476, 481] [28, 31, 37, 44, 65, 118, 120, 124, 191, 227, 239, 241, 248, 321, 336, 346, 371, 380, 432, 440, 464, 477] [29, 32, 38, 45, 66, 119, 121, 125, 192, 228, 240, 242, 249, 322, 337, 347, 372, 381, 433, 441, 465, 478] [0, 30, 33, 39, 46, 67, 120, 122, 126, 193, 229, 243, 250, 323, 338, 348, 373, 382, 434, 442, 466, 479] [1, 31, 34, 40, 47, 68, 121, 123, 127, 194, 230, 244, 251, 324, 339, 349, 374, 383, 435, 443, 467, 480] [2, 32, 35, 41, 48, 69, 122, 124, 128, 195, 231, 245, 252, 325, 340, 350, 375, 384, 436, 444, 468, 481] [3, 33, 36, 42, 49, 70, 123, 125, 129, 196, 232, 241, 246, 253, 326, 341, 351, 376, 385, 437, 445, 469] [4, 34, 37, 43, 50, 71, 124, 126, 130, 197, 233, 242, 247, 254, 327, 342, 352, 377, 386, 438, 446, 470] [5, 35, 38, 44, 51, 72, 125, 127, 131, 198, 234, 243, 248, 255, 328, 343, 353, 378, 387, 439, 447, 471] [6, 36, 39, 45, 52, 73, 126, 128, 132, 199, 235, 244, 249, 256, 329, 344, 354, 379, 388, 440, 448, 472] [7, 37, 40, 46, 53, 74, 127, 129, 133, 200, 236, 245, 250, 257, 330, 345, 355, 380, 389, 441, 449, 473] [8, 38, 41, 47, 54, 75, 128, 130, 134, 201, 237, 246, 251, 258, 331, 346, 356, 381, 390, 442, 450, 474] [9, 39, 42, 48, 55, 76, 129, 131, 135, 202, 238, 247, 252, 259, 332, 347, 357, 382, 391, 443, 451, 475] [10, 40, 43, 49, 56, 77, 130, 132, 136, 203, 239, 248, 253, 260, 333, 348, 358, 383, 392, 444, 452, 476] [11, 41, 44, 50, 57, 78, 131, 133, 137, 204, 240, 249, 254, 261, 334, 349, 359, 384, 393, 445, 453, 477] [0, 12, 42, 45, 51, 58, 79, 132, 134, 138, 205, 250, 255, 262, 335, 350, 360, 385, 394, 446, 454, 478] [1, 13, 43, 46, 52, 59, 80, 133, 135, 139, 206, 251, 256, 263, 336, 351, 361, 386, 395, 447, 455, 479] [2, 14, 44, 47, 53, 60, 81, 134, 136, 140, 207, 252, 257, 264, 337, 352, 362, 387, 396, 448, 456, 480] [3, 15, 45, 48, 54, 61, 82, 135, 137, 141, 208, 253, 258, 265, 338, 353, 363, 388, 397, 449, 457, 481] [4, 16, 46, 49, 55, 62, 83, 136, 138, 142, 209, 241, 254, 259, 266, 339, 354, 364, 389, 398, 450, 458] [5, 17, 47, 50, 56, 63, 84, 137, 139, 143, 210, 242, 255, 260, 267, 340, 355, 365, 390, 399, 451, 459] [6, 18, 48, 51, 57, 64, 85, 138, 140, 144, 211, 243, 256, 261, 268, 341, 356, 366, 391, 400, 452, 460] [7, 19, 49, 52, 58, 65, 86, 139, 141, 145, 212, 244, 257, 262, 269, 342, 357, 367, 392, 401, 453, 461] [8, 20, 50, 53, 59, 66, 87, 140, 142, 146, 213, 245, 258, 263, 270, 343, 358, 368, 393, 402, 454, 462] [9, 21, 51, 54, 60, 67, 88, 141, 143, 147, 214, 246, 259, 264, 271, 344, 359, 369, 394, 403, 455, 463] [10, 22, 52, 55, 61, 68, 89, 142, 144, 148, 215, 247, 260, 265, 272, 345, 360, 370, 395, 404, 456, 464] [11, 23, 53, 56, 62, 69, 90, 143, 145, 149, 216, 248, 261, 266, 273, 346, 361, 371, 396, 405, 457, 465] [12, 24, 54, 57, 63, 70, 91, 144, 146, 150, 217, 249, 262, 267, 274, 347, 362, 372, 397, 406, 458, 466] [13, 25, 55, 58, 64, 71, 92, 145, 147, 151, 218, 250, 263, 268, 275, 348, 363, 373, 398, 407, 459, 467] [14, 26, 56, 59, 65, 72, 93, 146, 148, 152, 219, 251, 264, 269, 276, 349, 364, 374, 399, 408, 460, 468] [15, 27, 57, 60, 66, 73, 94, 147, 149, 153, 220, 252, 265, 270, 277, 350, 365, 375, 400, 409, 461, 469] [16, 28, 58, 61, 67, 74, 95, 148, 150, 154, 221, 253, 266, 271, 278, 351, 366, 376, 401, 410, 462, 470] [17, 29, 59, 62, 68, 75, 96, 149, 151, 155, 222, 254, 267, 272, 279, 352, 367, 377, 402, 411, 463, 471] [18, 30, 60, 63, 69, 76, 97, 150, 152, 156, 223, 255, 268, 273, 280, 353, 368, 378, 403, 412, 464, 472] [19, 31, 61, 64, 70, 77, 98, 151, 153, 157, 224, 256, 269, 274, 281, 354, 369, 379, 404, 413, 465, 473] [20, 32, 62, 65, 71, 78, 99, 152, 154, 158, 225, 257, 270, 275, 282, 355, 370, 380, 405, 414, 466, 474] [21, 33, 63, 66, 72, 79, 100, 153, 155, 159, 226, 258, 271, 276, 283, 356, 371, 381, 406, 415, 467, 475] [22, 34, 64, 67, 73, 80, 101, 154, 156, 160, 227, 259, 272, 277, 284, 357, 372, 382, 407, 416, 468, 476] [23, 35, 65, 68, 74, 81, 102, 155, 157, 161, 228, 260, 273, 278, 285, 358, 373, 383, 408, 417, 469, 477] [24, 36, 66, 69, 75, 82, 103, 156, 158, 162, 229, 261, 274, 279, 286, 359, 374, 384, 409, 418, 470, 478] [25, 37, 67, 70, 76, 83, 104, 157, 159, 163, 230, 262, 275, 280, 287, 360, 375, 385, 410, 419, 471, 479] [26, 38, 68, 71, 77, 84, 105, 158, 160, 164, 231, 263, 276, 281, 288, 361, 376, 386, 411, 420, 472, 480] [27, 39, 69, 72, 78, 85, 106, 159, 161, 165, 232, 264, 277, 282, 289, 362, 377, 387, 412, 421, 473, 481] [28, 40, 70, 73, 79, 86, 107, 160, 162, 166, 233, 241, 265, 278, 283, 290, 363, 378, 388, 413, 422, 474] [29, 41, 71, 74, 80, 87, 108, 161, 163, 167, 234, 242, 266, 279, 284, 291, 364, 379, 389, 414, 423, 475] [30, 42, 72, 75, 81, 88, 109, 162, 164, 168, 235, 243, 267, 280, 285, 292, 365, 380, 390, 415, 424, 476] [31, 43, 73, 76, 82, 89, 110, 163, 165, 169, 236, 244, 268, 281, 286, 293, 366, 381, 391, 416, 425, 477] [32, 44, 74, 77, 83, 90, 111, 164, 166, 170, 237, 245, 269, 282, 287, 294, 367, 382, 392, 417, 426, 478] [33, 45, 75, 78, 84, 91, 112, 165, 167, 171, 238, 246, 270, 283, 288, 295, 368, 383, 393, 418, 427, 479] [34, 46, 76, 79, 85, 92, 113, 166, 168, 172, 239, 247, 271, 284, 289, 296, 369, 384, 394, 419, 428, 480] [35, 47, 77, 80, 86, 93, 114, 167, 169, 173, 240, 248, 272, 285, 290, 297, 370, 385, 395, 420, 429, 481] [0, 36, 48, 78, 81, 87, 94, 115, 168, 170, 174, 241, 249, 273, 286, 291, 298, 371, 386, 396, 421, 430] [1, 37, 49, 79, 82, 88, 95, 116, 169, 171, 175, 242, 250, 274, 287, 292, 299, 372, 387, 397, 422, 431] [2, 38, 50, 80, 83, 89, 96, 117, 170, 172, 176, 243, 251, 275, 288, 293, 300, 373, 388, 398, 423, 432] [3, 39, 51, 81, 84, 90, 97, 118, 171, 173, 177, 244, 252, 276, 289, 294, 301, 374, 389, 399, 424, 433] [4, 40, 52, 82, 85, 91, 98, 119, 172, 174, 178, 245, 253, 277, 290, 295, 302, 375, 390, 400, 425, 434] [5, 41, 53, 83, 86, 92, 99, 120, 173, 175, 179, 246, 254, 278, 291, 296, 303, 376, 391, 401, 426, 435] [6, 42, 54, 84, 87, 93, 100, 121, 174, 176, 180, 247, 255, 279, 292, 297, 304, 377, 392, 402, 427, 436] [7, 43, 55, 85, 88, 94, 101, 122, 175, 177, 181, 248, 256, 280, 293, 298, 305, 378, 393, 403, 428, 437] [8, 44, 56, 86, 89, 95, 102, 123, 176, 178, 182, 249, 257, 281, 294, 299, 306, 379, 394, 404, 429, 438] [9, 45, 57, 87, 90, 96, 103, 124, 177, 179, 183, 250, 258, 282, 295, 300, 307, 380, 395, 405, 430, 439] [10, 46, 58, 88, 91, 97, 104, 125, 178, 180, 184, 251, 259, 283, 296, 301, 308, 381, 396, 406, 431, 440] [11, 47, 59, 89, 92, 98, 105, 126, 179, 181, 185, 252, 260, 284, 297, 302, 309, 382, 397, 407, 432, 441] [12, 48, 60, 90, 93, 99, 106, 127, 180, 182, 186, 253, 261, 285, 298, 303, 310, 383, 398, 408, 433, 442] [13, 49, 61, 91, 94, 100, 107, 128, 181, 183, 187, 254, 262, 286, 299, 304, 311, 384, 399, 409, 434, 443] [14, 50, 62, 92, 95, 101, 108, 129, 182, 184, 188, 255, 263, 287, 300, 305, 312, 385, 400, 410, 435, 444] [15, 51, 63, 93, 96, 102, 109, 130, 183, 185, 189, 256, 264, 288, 301, 306, 313, 386, 401, 411, 436, 445] [16, 52, 64, 94, 97, 103, 110, 131, 184, 186, 190, 257, 265, 289, 302, 307, 314, 387, 402, 412, 437, 446] [17, 53, 65, 95, 98, 104, 111, 132, 185, 187, 191, 258, 266, 290, 303, 308, 315, 388, 403, 413, 438, 447] [18, 54, 66, 96, 99, 105, 112, 133, 186, 188, 192, 259, 267, 291, 304, 309, 316, 389, 404, 414, 439, 448] [19, 55, 67, 97, 100, 106, 113, 134, 187, 189, 193, 260, 268, 292, 305, 310, 317, 390, 405, 415, 440, 449] [20, 56, 68, 98, 101, 107, 114, 135, 188, 190, 194, 261, 269, 293, 306, 311, 318, 391, 406, 416, 441, 450] [21, 57, 69, 99, 102, 108, 115, 136, 189, 191, 195, 262, 270, 294, 307, 312, 319, 392, 407, 417, 442, 451] [22, 58, 70, 100, 103, 109, 116, 137, 190, 192, 196, 263, 271, 295, 308, 313, 320, 393, 408, 418, 443, 452] [23, 59, 71, 101, 104, 110, 117, 138, 191, 193, 197, 264, 272, 296, 309, 314, 321, 394, 409, 419, 444, 453] [24, 60, 72, 102, 105, 111, 118, 139, 192, 194, 198, 265, 273, 297, 310, 315, 322, 395, 410, 420, 445, 454] [25, 61, 73, 103, 106, 112, 119, 140, 193, 195, 199, 266, 274, 298, 311, 316, 323, 396, 411, 421, 446, 455]
H_Z (241 checks, sparse supports)
[26, 35, 60, 70, 85, 158, 165, 170, 183, 207, 215, 282, 286, 288, 341, 362, 369, 375, 378, 408, 420, 456] [27, 36, 61, 71, 86, 159, 166, 171, 184, 208, 216, 283, 287, 289, 342, 363, 370, 376, 379, 409, 421, 457] [28, 37, 62, 72, 87, 160, 167, 172, 185, 209, 217, 284, 288, 290, 343, 364, 371, 377, 380, 410, 422, 458] [29, 38, 63, 73, 88, 161, 168, 173, 186, 210, 218, 285, 289, 291, 344, 365, 372, 378, 381, 411, 423, 459] [30, 39, 64, 74, 89, 162, 169, 174, 187, 211, 219, 286, 290, 292, 345, 366, 373, 379, 382, 412, 424, 460] [31, 40, 65, 75, 90, 163, 170, 175, 188, 212, 220, 287, 291, 293, 346, 367, 374, 380, 383, 413, 425, 461] [32, 41, 66, 76, 91, 164, 171, 176, 189, 213, 221, 288, 292, 294, 347, 368, 375, 381, 384, 414, 426, 462] [33, 42, 67, 77, 92, 165, 172, 177, 190, 214, 222, 289, 293, 295, 348, 369, 376, 382, 385, 415, 427, 463] [34, 43, 68, 78, 93, 166, 173, 178, 191, 215, 223, 290, 294, 296, 349, 370, 377, 383, 386, 416, 428, 464] [35, 44, 69, 79, 94, 167, 174, 179, 192, 216, 224, 291, 295, 297, 350, 371, 378, 384, 387, 417, 429, 465] [36, 45, 70, 80, 95, 168, 175, 180, 193, 217, 225, 292, 296, 298, 351, 372, 379, 385, 388, 418, 430, 466] [37, 46, 71, 81, 96, 169, 176, 181, 194, 218, 226, 293, 297, 299, 352, 373, 380, 386, 389, 419, 431, 467] [38, 47, 72, 82, 97, 170, 177, 182, 195, 219, 227, 294, 298, 300, 353, 374, 381, 387, 390, 420, 432, 468] [39, 48, 73, 83, 98, 171, 178, 183, 196, 220, 228, 295, 299, 301, 354, 375, 382, 388, 391, 421, 433, 469] [40, 49, 74, 84, 99, 172, 179, 184, 197, 221, 229, 296, 300, 302, 355, 376, 383, 389, 392, 422, 434, 470] [41, 50, 75, 85, 100, 173, 180, 185, 198, 222, 230, 297, 301, 303, 356, 377, 384, 390, 393, 423, 435, 471] [42, 51, 76, 86, 101, 174, 181, 186, 199, 223, 231, 298, 302, 304, 357, 378, 385, 391, 394, 424, 436, 472] [43, 52, 77, 87, 102, 175, 182, 187, 200, 224, 232, 299, 303, 305, 358, 379, 386, 392, 395, 425, 437, 473] [44, 53, 78, 88, 103, 176, 183, 188, 201, 225, 233, 300, 304, 306, 359, 380, 387, 393, 396, 426, 438, 474] [45, 54, 79, 89, 104, 177, 184, 189, 202, 226, 234, 301, 305, 307, 360, 381, 388, 394, 397, 427, 439, 475] [46, 55, 80, 90, 105, 178, 185, 190, 203, 227, 235, 302, 306, 308, 361, 382, 389, 395, 398, 428, 440, 476] [47, 56, 81, 91, 106, 179, 186, 191, 204, 228, 236, 303, 307, 309, 362, 383, 390, 396, 399, 429, 441, 477] [48, 57, 82, 92, 107, 180, 187, 192, 205, 229, 237, 304, 308, 310, 363, 384, 391, 397, 400, 430, 442, 478] [49, 58, 83, 93, 108, 181, 188, 193, 206, 230, 238, 305, 309, 311, 364, 385, 392, 398, 401, 431, 443, 479] [50, 59, 84, 94, 109, 182, 189, 194, 207, 231, 239, 306, 310, 312, 365, 386, 393, 399, 402, 432, 444, 480] [51, 60, 85, 95, 110, 183, 190, 195, 208, 232, 240, 307, 311, 313, 366, 387, 394, 400, 403, 433, 445, 481] [0, 52, 61, 86, 96, 111, 184, 191, 196, 209, 233, 241, 308, 312, 314, 367, 388, 395, 401, 404, 434, 446] [1, 53, 62, 87, 97, 112, 185, 192, 197, 210, 234, 242, 309, 313, 315, 368, 389, 396, 402, 405, 435, 447] [2, 54, 63, 88, 98, 113, 186, 193, 198, 211, 235, 243, 310, 314, 316, 369, 390, 397, 403, 406, 436, 448] [3, 55, 64, 89, 99, 114, 187, 194, 199, 212, 236, 244, 311, 315, 317, 370, 391, 398, 404, 407, 437, 449] [4, 56, 65, 90, 100, 115, 188, 195, 200, 213, 237, 245, 312, 316, 318, 371, 392, 399, 405, 408, 438, 450] [5, 57, 66, 91, 101, 116, 189, 196, 201, 214, 238, 246, 313, 317, 319, 372, 393, 400, 406, 409, 439, 451] [6, 58, 67, 92, 102, 117, 190, 197, 202, 215, 239, 247, 314, 318, 320, 373, 394, 401, 407, 410, 440, 452] [7, 59, 68, 93, 103, 118, 191, 198, 203, 216, 240, 248, 315, 319, 321, 374, 395, 402, 408, 411, 441, 453] [0, 8, 60, 69, 94, 104, 119, 192, 199, 204, 217, 249, 316, 320, 322, 375, 396, 403, 409, 412, 442, 454] [1, 9, 61, 70, 95, 105, 120, 193, 200, 205, 218, 250, 317, 321, 323, 376, 397, 404, 410, 413, 443, 455] [2, 10, 62, 71, 96, 106, 121, 194, 201, 206, 219, 251, 318, 322, 324, 377, 398, 405, 411, 414, 444, 456] [3, 11, 63, 72, 97, 107, 122, 195, 202, 207, 220, 252, 319, 323, 325, 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Code ID 482-96-48 · download JSON · raw on GitHub