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[[514,98,54]] d ≤
n
514
k
98
d
54
kd²/n
555.969
w
20
X/Z
1.07

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Distance

X/Z asymmetry 1.07 · d_X ≤ 54, d_Z ≤ 58 · 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 54 · witness weight 54 (claimed upper_bound)
witness operator (support, 54 qubits)
[2, 7, 12, 18, 19, 25, 26, 29, 41, 47, 54, 60, 72, 75, 76, 82, 83, 89, 94, 99, 104, 109, 111, 119, 123, 132, 133, 139, 140, 141, 148, 159, 161, 167, 168, 169, 172, 186, 189, 190, 191, 197, 199, 210, 217, 218, 219, 225, 226, 235, 239, 247, 249, 254]
d_Z 58 · witness weight 58 (claimed upper_bound)
witness operator (support, 58 qubits)
[0, 18, 39, 42, 45, 64, 71, 73, 85, 106, 128, 145, 148, 150, 154, 156, 158, 170, 185, 192, 194, 195, 196, 202, 233, 242, 246, 249, 257, 271, 275, 276, 290, 297, 300, 304, 309, 314, 316, 333, 338, 339, 346, 348, 352, 393, 400, 401, 405, 423, 428, 441, 462, 469, 471, 474, 488, 492]
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)×257 (2,12)×3084 (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): 257 (1,12): 257 (2,12): 3084 (2,14): 1285 (2,16): 3598 (2,18): 18247 (2,20): 2570 (2,22): 7196
trapping sets H_Z (1,8)×257 (2,12)×3084 (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): 257 (1,12): 257 (2,12): 3084 (2,14): 1285 (2,16): 3598 (2,18): 18247 (2,20): 2570 (2,22): 7196

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x257 - 1 with a(x) = x41 + x56 + x75 + x81 + x103 + x105 + x124 + x139 + x192 + x207 + x231 + x256, b(x) = x8 + x18 + x65 + x149 + x196 + x206 + x225 + x246; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]. a and b are low-weight codewords of the ideal of a divisor of x257 - 1 of degree 49, fixing k = 2 deg gcd(a, b, x^m - 1) = 98.
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-13
notes Designed-divisor construction: the divisor is a product of cyclotomic-coset minimal polynomials over GF(2^ord_2(m)), so its degree and hence k are chosen rather than inherited, and a and b are drawn from its ideal by information-set decoding. Distance is a witness-backed upper bound. The 24-seed general search at 2,000,000 trials each bottomed at 58, but a logical supported on a single circulant block is constrained only by that block, and here that kernel has dimension deg gcd(b, x^m - 1) = 65 against the 49 that k requires. A single-block search at 8 seeds and 600,000 trials finds weight 54 there, so the claim is 54 on X with 58 still standing on Z. Both witnesses re-verified against these matrices.
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

[[514,98,54]] weight-20 cyclic generalized-bicycle from a designed divisor

Direction & hypothesis

No board entry at n <= 514 reaches k >= 98 and d >= 54 at any row weight. A residue construction cannot aim there, since it fixes k between 20 and 34 whatever the ring. Because k = 2 deg gcd(a, b, x^m - 1), choosing a divisor of x^m - 1 and drawing a and b from its ideal selects the dimension instead, and here a degree-49 divisor gives k = 98.

Two facts govern the construction, both checked rather than assumed. x^m - 1 is squarefree over GF(2) only for odd m, which makes m = 257 usable and the even moduli of a residue sweep unusable. And the generators are low-weight codewords of the cyclic code the divisor generates, found by information-set decoding inside that ideal.

What was searched

The divisor is a product of cyclotomic-coset minimal polynomials over GF(2^16), so its degree is chosen; sampling sparse polynomials and taking gcds with x^m - 1 lands on a target degree almost never and kept 0 of 12 draws in an earlier attempt. Sweeping deg g / m from 0.04 to 0.30 over many coset subsets at nine odd moduli produced 299 priced candidates; 245 were undominated after folding, which Pareto-thinning over n, k, d and w reduced to 32 genuinely distinct front points.

Evidence trail

The claim is a witness-backed upper bound of 54, set by a weight-54 X witness; the Z side stands at 58.

random information set, 24 seeds x 2e6 58 (median 61, maximum 63) single-block circulant, 8 seeds x 6e5 54 on X research/foldbound.py, uncapped no folded logical found verify/validate_candidate.py passed, not refuted

The first row and the second do not search the same space, and the gap between them is the whole correction here. This code was first submitted claiming 58 on the strength of the general search alone. A logical supported on one block of H_X = [circ(a) | circ(b)] is constrained only by that block, so it lives in a kernel of dimension deg gcd(b, x^m - 1), which is 65 here against the 49 that k requires: only the common gcd sets the dimension, so b picked up one extra cyclotomic coset of size ord_2(257) = 16 for free. A general information-set search draws across all 514 columns and essentially never lands inside that 65-dimensional subspace, which is why 24 seeds at 2,000,000 trials each plateaued 4 above the truth. Rejecting such a draw costs two polynomial gcds.

The symmetric fold finds nothing here, so it neither refutes the claim nor supports it. Both witnesses were re-verified against the committed matrices, in the kernel of the opposite checks and outside the row space of their own side. The gate reports no distance-only peers and no shared Weisfeiler-Leman signature.

Dead ends

Row weight is this construction's price and the schema is its ceiling. schema/code.schema.json caps each check's support at 32 entries, so a heavier code cannot be submitted whatever it scores. Two candidates from this sweep passed full 24-seed gates at row weights 48 and 58, one scoring kd^2/n = 1493.1, and neither is submittable. Rebuilding the heavier one under the cap is impossible: the lightest codewords in its degree-101 divisor's ideal are weight 26 to 34, so any pair of generators sums to at least 52.

Every distance in this family falls as search depth rises, so triage figures are not findings. This code was screened at 69 by a 20,000-trial reading, gated at 58 and settled at 54, and siblings moved 62 to 52, 60 to 51, and 108 to 98 under the same treatment.

Tools

Claude Opus 5 under Claude Code. verify/gf2_fast for the random information-set search, research/foldbound.py for the symmetric fold, verify/validate_candidate.py for the gate. The divisor construction and its sweep are described above in enough detail to rewrite; they are not committed here. The 24-seed scan took 5,645s on eight cores.

Reproduction

ring x^257 - 1 H_X = [circ(a) | circ(b)] H_Z = [circ(b)^T | circ(a)^T]

n = 2m = 514 and k = 2 deg gcd(a, b, x^m - 1) = 98. The exponents of a and b are in codes/514-98-54.json under provenance.construction.

Parity checks

X-checks 257 (max weight 20) · Z-checks 257 (max weight 20)
H_X (257 checks, sparse supports)
[41, 56, 75, 81, 103, 105, 124, 139, 192, 207, 231, 256, 265, 275, 322, 406, 453, 463, 482, 503] [0, 42, 57, 76, 82, 104, 106, 125, 140, 193, 208, 232, 266, 276, 323, 407, 454, 464, 483, 504] [1, 43, 58, 77, 83, 105, 107, 126, 141, 194, 209, 233, 267, 277, 324, 408, 455, 465, 484, 505] [2, 44, 59, 78, 84, 106, 108, 127, 142, 195, 210, 234, 268, 278, 325, 409, 456, 466, 485, 506] [3, 45, 60, 79, 85, 107, 109, 128, 143, 196, 211, 235, 269, 279, 326, 410, 457, 467, 486, 507] [4, 46, 61, 80, 86, 108, 110, 129, 144, 197, 212, 236, 270, 280, 327, 411, 458, 468, 487, 508] [5, 47, 62, 81, 87, 109, 111, 130, 145, 198, 213, 237, 271, 281, 328, 412, 459, 469, 488, 509] [6, 48, 63, 82, 88, 110, 112, 131, 146, 199, 214, 238, 272, 282, 329, 413, 460, 470, 489, 510] [7, 49, 64, 83, 89, 111, 113, 132, 147, 200, 215, 239, 273, 283, 330, 414, 461, 471, 490, 511] [8, 50, 65, 84, 90, 112, 114, 133, 148, 201, 216, 240, 274, 284, 331, 415, 462, 472, 491, 512] [9, 51, 66, 85, 91, 113, 115, 134, 149, 202, 217, 241, 275, 285, 332, 416, 463, 473, 492, 513] [10, 52, 67, 86, 92, 114, 116, 135, 150, 203, 218, 242, 257, 276, 286, 333, 417, 464, 474, 493] [11, 53, 68, 87, 93, 115, 117, 136, 151, 204, 219, 243, 258, 277, 287, 334, 418, 465, 475, 494] [12, 54, 69, 88, 94, 116, 118, 137, 152, 205, 220, 244, 259, 278, 288, 335, 419, 466, 476, 495] [13, 55, 70, 89, 95, 117, 119, 138, 153, 206, 221, 245, 260, 279, 289, 336, 420, 467, 477, 496] [14, 56, 71, 90, 96, 118, 120, 139, 154, 207, 222, 246, 261, 280, 290, 337, 421, 468, 478, 497] [15, 57, 72, 91, 97, 119, 121, 140, 155, 208, 223, 247, 262, 281, 291, 338, 422, 469, 479, 498] [16, 58, 73, 92, 98, 120, 122, 141, 156, 209, 224, 248, 263, 282, 292, 339, 423, 470, 480, 499] [17, 59, 74, 93, 99, 121, 123, 142, 157, 210, 225, 249, 264, 283, 293, 340, 424, 471, 481, 500] [18, 60, 75, 94, 100, 122, 124, 143, 158, 211, 226, 250, 265, 284, 294, 341, 425, 472, 482, 501] [19, 61, 76, 95, 101, 123, 125, 144, 159, 212, 227, 251, 266, 285, 295, 342, 426, 473, 483, 502] [20, 62, 77, 96, 102, 124, 126, 145, 160, 213, 228, 252, 267, 286, 296, 343, 427, 474, 484, 503] [21, 63, 78, 97, 103, 125, 127, 146, 161, 214, 229, 253, 268, 287, 297, 344, 428, 475, 485, 504] [22, 64, 79, 98, 104, 126, 128, 147, 162, 215, 230, 254, 269, 288, 298, 345, 429, 476, 486, 505] [23, 65, 80, 99, 105, 127, 129, 148, 163, 216, 231, 255, 270, 289, 299, 346, 430, 477, 487, 506] [24, 66, 81, 100, 106, 128, 130, 149, 164, 217, 232, 256, 271, 290, 300, 347, 431, 478, 488, 507] [0, 25, 67, 82, 101, 107, 129, 131, 150, 165, 218, 233, 272, 291, 301, 348, 432, 479, 489, 508] [1, 26, 68, 83, 102, 108, 130, 132, 151, 166, 219, 234, 273, 292, 302, 349, 433, 480, 490, 509] [2, 27, 69, 84, 103, 109, 131, 133, 152, 167, 220, 235, 274, 293, 303, 350, 434, 481, 491, 510] [3, 28, 70, 85, 104, 110, 132, 134, 153, 168, 221, 236, 275, 294, 304, 351, 435, 482, 492, 511] [4, 29, 71, 86, 105, 111, 133, 135, 154, 169, 222, 237, 276, 295, 305, 352, 436, 483, 493, 512] [5, 30, 72, 87, 106, 112, 134, 136, 155, 170, 223, 238, 277, 296, 306, 353, 437, 484, 494, 513] [6, 31, 73, 88, 107, 113, 135, 137, 156, 171, 224, 239, 257, 278, 297, 307, 354, 438, 485, 495] [7, 32, 74, 89, 108, 114, 136, 138, 157, 172, 225, 240, 258, 279, 298, 308, 355, 439, 486, 496] [8, 33, 75, 90, 109, 115, 137, 139, 158, 173, 226, 241, 259, 280, 299, 309, 356, 440, 487, 497] [9, 34, 76, 91, 110, 116, 138, 140, 159, 174, 227, 242, 260, 281, 300, 310, 357, 441, 488, 498] [10, 35, 77, 92, 111, 117, 139, 141, 160, 175, 228, 243, 261, 282, 301, 311, 358, 442, 489, 499] [11, 36, 78, 93, 112, 118, 140, 142, 161, 176, 229, 244, 262, 283, 302, 312, 359, 443, 490, 500] [12, 37, 79, 94, 113, 119, 141, 143, 162, 177, 230, 245, 263, 284, 303, 313, 360, 444, 491, 501] [13, 38, 80, 95, 114, 120, 142, 144, 163, 178, 231, 246, 264, 285, 304, 314, 361, 445, 492, 502] [14, 39, 81, 96, 115, 121, 143, 145, 164, 179, 232, 247, 265, 286, 305, 315, 362, 446, 493, 503] [15, 40, 82, 97, 116, 122, 144, 146, 165, 180, 233, 248, 266, 287, 306, 316, 363, 447, 494, 504] [16, 41, 83, 98, 117, 123, 145, 147, 166, 181, 234, 249, 267, 288, 307, 317, 364, 448, 495, 505] [17, 42, 84, 99, 118, 124, 146, 148, 167, 182, 235, 250, 268, 289, 308, 318, 365, 449, 496, 506] [18, 43, 85, 100, 119, 125, 147, 149, 168, 183, 236, 251, 269, 290, 309, 319, 366, 450, 497, 507] [19, 44, 86, 101, 120, 126, 148, 150, 169, 184, 237, 252, 270, 291, 310, 320, 367, 451, 498, 508] [20, 45, 87, 102, 121, 127, 149, 151, 170, 185, 238, 253, 271, 292, 311, 321, 368, 452, 499, 509] [21, 46, 88, 103, 122, 128, 150, 152, 171, 186, 239, 254, 272, 293, 312, 322, 369, 453, 500, 510] [22, 47, 89, 104, 123, 129, 151, 153, 172, 187, 240, 255, 273, 294, 313, 323, 370, 454, 501, 511] [23, 48, 90, 105, 124, 130, 152, 154, 173, 188, 241, 256, 274, 295, 314, 324, 371, 455, 502, 512] [0, 24, 49, 91, 106, 125, 131, 153, 155, 174, 189, 242, 275, 296, 315, 325, 372, 456, 503, 513] [1, 25, 50, 92, 107, 126, 132, 154, 156, 175, 190, 243, 257, 276, 297, 316, 326, 373, 457, 504] [2, 26, 51, 93, 108, 127, 133, 155, 157, 176, 191, 244, 258, 277, 298, 317, 327, 374, 458, 505] [3, 27, 52, 94, 109, 128, 134, 156, 158, 177, 192, 245, 259, 278, 299, 318, 328, 375, 459, 506] [4, 28, 53, 95, 110, 129, 135, 157, 159, 178, 193, 246, 260, 279, 300, 319, 329, 376, 460, 507] [5, 29, 54, 96, 111, 130, 136, 158, 160, 179, 194, 247, 261, 280, 301, 320, 330, 377, 461, 508] [6, 30, 55, 97, 112, 131, 137, 159, 161, 180, 195, 248, 262, 281, 302, 321, 331, 378, 462, 509] [7, 31, 56, 98, 113, 132, 138, 160, 162, 181, 196, 249, 263, 282, 303, 322, 332, 379, 463, 510] [8, 32, 57, 99, 114, 133, 139, 161, 163, 182, 197, 250, 264, 283, 304, 323, 333, 380, 464, 511] [9, 33, 58, 100, 115, 134, 140, 162, 164, 183, 198, 251, 265, 284, 305, 324, 334, 381, 465, 512] [10, 34, 59, 101, 116, 135, 141, 163, 165, 184, 199, 252, 266, 285, 306, 325, 335, 382, 466, 513] [11, 35, 60, 102, 117, 136, 142, 164, 166, 185, 200, 253, 257, 267, 286, 307, 326, 336, 383, 467] [12, 36, 61, 103, 118, 137, 143, 165, 167, 186, 201, 254, 258, 268, 287, 308, 327, 337, 384, 468] [13, 37, 62, 104, 119, 138, 144, 166, 168, 187, 202, 255, 259, 269, 288, 309, 328, 338, 385, 469] [14, 38, 63, 105, 120, 139, 145, 167, 169, 188, 203, 256, 260, 270, 289, 310, 329, 339, 386, 470] [0, 15, 39, 64, 106, 121, 140, 146, 168, 170, 189, 204, 261, 271, 290, 311, 330, 340, 387, 471] [1, 16, 40, 65, 107, 122, 141, 147, 169, 171, 190, 205, 262, 272, 291, 312, 331, 341, 388, 472] [2, 17, 41, 66, 108, 123, 142, 148, 170, 172, 191, 206, 263, 273, 292, 313, 332, 342, 389, 473] [3, 18, 42, 67, 109, 124, 143, 149, 171, 173, 192, 207, 264, 274, 293, 314, 333, 343, 390, 474] [4, 19, 43, 68, 110, 125, 144, 150, 172, 174, 193, 208, 265, 275, 294, 315, 334, 344, 391, 475] [5, 20, 44, 69, 111, 126, 145, 151, 173, 175, 194, 209, 266, 276, 295, 316, 335, 345, 392, 476] [6, 21, 45, 70, 112, 127, 146, 152, 174, 176, 195, 210, 267, 277, 296, 317, 336, 346, 393, 477] [7, 22, 46, 71, 113, 128, 147, 153, 175, 177, 196, 211, 268, 278, 297, 318, 337, 347, 394, 478] [8, 23, 47, 72, 114, 129, 148, 154, 176, 178, 197, 212, 269, 279, 298, 319, 338, 348, 395, 479] [9, 24, 48, 73, 115, 130, 149, 155, 177, 179, 198, 213, 270, 280, 299, 320, 339, 349, 396, 480] [10, 25, 49, 74, 116, 131, 150, 156, 178, 180, 199, 214, 271, 281, 300, 321, 340, 350, 397, 481] [11, 26, 50, 75, 117, 132, 151, 157, 179, 181, 200, 215, 272, 282, 301, 322, 341, 351, 398, 482] [12, 27, 51, 76, 118, 133, 152, 158, 180, 182, 201, 216, 273, 283, 302, 323, 342, 352, 399, 483] [13, 28, 52, 77, 119, 134, 153, 159, 181, 183, 202, 217, 274, 284, 303, 324, 343, 353, 400, 484] [14, 29, 53, 78, 120, 135, 154, 160, 182, 184, 203, 218, 275, 285, 304, 325, 344, 354, 401, 485] [15, 30, 54, 79, 121, 136, 155, 161, 183, 185, 204, 219, 276, 286, 305, 326, 345, 355, 402, 486] [16, 31, 55, 80, 122, 137, 156, 162, 184, 186, 205, 220, 277, 287, 306, 327, 346, 356, 403, 487] [17, 32, 56, 81, 123, 138, 157, 163, 185, 187, 206, 221, 278, 288, 307, 328, 347, 357, 404, 488] [18, 33, 57, 82, 124, 139, 158, 164, 186, 188, 207, 222, 279, 289, 308, 329, 348, 358, 405, 489] [19, 34, 58, 83, 125, 140, 159, 165, 187, 189, 208, 223, 280, 290, 309, 330, 349, 359, 406, 490] [20, 35, 59, 84, 126, 141, 160, 166, 188, 190, 209, 224, 281, 291, 310, 331, 350, 360, 407, 491] [21, 36, 60, 85, 127, 142, 161, 167, 189, 191, 210, 225, 282, 292, 311, 332, 351, 361, 408, 492] [22, 37, 61, 86, 128, 143, 162, 168, 190, 192, 211, 226, 283, 293, 312, 333, 352, 362, 409, 493] [23, 38, 62, 87, 129, 144, 163, 169, 191, 193, 212, 227, 284, 294, 313, 334, 353, 363, 410, 494] [24, 39, 63, 88, 130, 145, 164, 170, 192, 194, 213, 228, 285, 295, 314, 335, 354, 364, 411, 495] [25, 40, 64, 89, 131, 146, 165, 171, 193, 195, 214, 229, 286, 296, 315, 336, 355, 365, 412, 496] [26, 41, 65, 90, 132, 147, 166, 172, 194, 196, 215, 230, 287, 297, 316, 337, 356, 366, 413, 497] [27, 42, 66, 91, 133, 148, 167, 173, 195, 197, 216, 231, 288, 298, 317, 338, 357, 367, 414, 498] [28, 43, 67, 92, 134, 149, 168, 174, 196, 198, 217, 232, 289, 299, 318, 339, 358, 368, 415, 499] [29, 44, 68, 93, 135, 150, 169, 175, 197, 199, 218, 233, 290, 300, 319, 340, 359, 369, 416, 500] [30, 45, 69, 94, 136, 151, 170, 176, 198, 200, 219, 234, 291, 301, 320, 341, 360, 370, 417, 501] [31, 46, 70, 95, 137, 152, 171, 177, 199, 201, 220, 235, 292, 302, 321, 342, 361, 371, 418, 502] [32, 47, 71, 96, 138, 153, 172, 178, 200, 202, 221, 236, 293, 303, 322, 343, 362, 372, 419, 503] [33, 48, 72, 97, 139, 154, 173, 179, 201, 203, 222, 237, 294, 304, 323, 344, 363, 373, 420, 504] [34, 49, 73, 98, 140, 155, 174, 180, 202, 204, 223, 238, 295, 305, 324, 345, 364, 374, 421, 505] [35, 50, 74, 99, 141, 156, 175, 181, 203, 205, 224, 239, 296, 306, 325, 346, 365, 375, 422, 506] [36, 51, 75, 100, 142, 157, 176, 182, 204, 206, 225, 240, 297, 307, 326, 347, 366, 376, 423, 507] [37, 52, 76, 101, 143, 158, 177, 183, 205, 207, 226, 241, 298, 308, 327, 348, 367, 377, 424, 508] [38, 53, 77, 102, 144, 159, 178, 184, 206, 208, 227, 242, 299, 309, 328, 349, 368, 378, 425, 509] [39, 54, 78, 103, 145, 160, 179, 185, 207, 209, 228, 243, 300, 310, 329, 350, 369, 379, 426, 510] [40, 55, 79, 104, 146, 161, 180, 186, 208, 210, 229, 244, 301, 311, 330, 351, 370, 380, 427, 511] [41, 56, 80, 105, 147, 162, 181, 187, 209, 211, 230, 245, 302, 312, 331, 352, 371, 381, 428, 512] [42, 57, 81, 106, 148, 163, 182, 188, 210, 212, 231, 246, 303, 313, 332, 353, 372, 382, 429, 513] [43, 58, 82, 107, 149, 164, 183, 189, 211, 213, 232, 247, 257, 304, 314, 333, 354, 373, 383, 430] [44, 59, 83, 108, 150, 165, 184, 190, 212, 214, 233, 248, 258, 305, 315, 334, 355, 374, 384, 431] [45, 60, 84, 109, 151, 166, 185, 191, 213, 215, 234, 249, 259, 306, 316, 335, 356, 375, 385, 432] [46, 61, 85, 110, 152, 167, 186, 192, 214, 216, 235, 250, 260, 307, 317, 336, 357, 376, 386, 433] [47, 62, 86, 111, 153, 168, 187, 193, 215, 217, 236, 251, 261, 308, 318, 337, 358, 377, 387, 434] [48, 63, 87, 112, 154, 169, 188, 194, 216, 218, 237, 252, 262, 309, 319, 338, 359, 378, 388, 435] [49, 64, 88, 113, 155, 170, 189, 195, 217, 219, 238, 253, 263, 310, 320, 339, 360, 379, 389, 436] [50, 65, 89, 114, 156, 171, 190, 196, 218, 220, 239, 254, 264, 311, 321, 340, 361, 380, 390, 437] [51, 66, 90, 115, 157, 172, 191, 197, 219, 221, 240, 255, 265, 312, 322, 341, 362, 381, 391, 438] [52, 67, 91, 116, 158, 173, 192, 198, 220, 222, 241, 256, 266, 313, 323, 342, 363, 382, 392, 439] [0, 53, 68, 92, 117, 159, 174, 193, 199, 221, 223, 242, 267, 314, 324, 343, 364, 383, 393, 440] [1, 54, 69, 93, 118, 160, 175, 194, 200, 222, 224, 243, 268, 315, 325, 344, 365, 384, 394, 441] [2, 55, 70, 94, 119, 161, 176, 195, 201, 223, 225, 244, 269, 316, 326, 345, 366, 385, 395, 442] [3, 56, 71, 95, 120, 162, 177, 196, 202, 224, 226, 245, 270, 317, 327, 346, 367, 386, 396, 443] [4, 57, 72, 96, 121, 163, 178, 197, 203, 225, 227, 246, 271, 318, 328, 347, 368, 387, 397, 444] [5, 58, 73, 97, 122, 164, 179, 198, 204, 226, 228, 247, 272, 319, 329, 348, 369, 388, 398, 445] [6, 59, 74, 98, 123, 165, 180, 199, 205, 227, 229, 248, 273, 320, 330, 349, 370, 389, 399, 446] [7, 60, 75, 99, 124, 166, 181, 200, 206, 228, 230, 249, 274, 321, 331, 350, 371, 390, 400, 447] [8, 61, 76, 100, 125, 167, 182, 201, 207, 229, 231, 250, 275, 322, 332, 351, 372, 391, 401, 448] [9, 62, 77, 101, 126, 168, 183, 202, 208, 230, 232, 251, 276, 323, 333, 352, 373, 392, 402, 449] [10, 63, 78, 102, 127, 169, 184, 203, 209, 231, 233, 252, 277, 324, 334, 353, 374, 393, 403, 450] [11, 64, 79, 103, 128, 170, 185, 204, 210, 232, 234, 253, 278, 325, 335, 354, 375, 394, 404, 451] [12, 65, 80, 104, 129, 171, 186, 205, 211, 233, 235, 254, 279, 326, 336, 355, 376, 395, 405, 452] [13, 66, 81, 105, 130, 172, 187, 206, 212, 234, 236, 255, 280, 327, 337, 356, 377, 396, 406, 453] [14, 67, 82, 106, 131, 173, 188, 207, 213, 235, 237, 256, 281, 328, 338, 357, 378, 397, 407, 454] [0, 15, 68, 83, 107, 132, 174, 189, 208, 214, 236, 238, 282, 329, 339, 358, 379, 398, 408, 455] [1, 16, 69, 84, 108, 133, 175, 190, 209, 215, 237, 239, 283, 330, 340, 359, 380, 399, 409, 456] [2, 17, 70, 85, 109, 134, 176, 191, 210, 216, 238, 240, 284, 331, 341, 360, 381, 400, 410, 457] [3, 18, 71, 86, 110, 135, 177, 192, 211, 217, 239, 241, 285, 332, 342, 361, 382, 401, 411, 458] [4, 19, 72, 87, 111, 136, 178, 193, 212, 218, 240, 242, 286, 333, 343, 362, 383, 402, 412, 459] [5, 20, 73, 88, 112, 137, 179, 194, 213, 219, 241, 243, 287, 334, 344, 363, 384, 403, 413, 460] [6, 21, 74, 89, 113, 138, 180, 195, 214, 220, 242, 244, 288, 335, 345, 364, 385, 404, 414, 461] [7, 22, 75, 90, 114, 139, 181, 196, 215, 221, 243, 245, 289, 336, 346, 365, 386, 405, 415, 462] [8, 23, 76, 91, 115, 140, 182, 197, 216, 222, 244, 246, 290, 337, 347, 366, 387, 406, 416, 463] [9, 24, 77, 92, 116, 141, 183, 198, 217, 223, 245, 247, 291, 338, 348, 367, 388, 407, 417, 464] [10, 25, 78, 93, 117, 142, 184, 199, 218, 224, 246, 248, 292, 339, 349, 368, 389, 408, 418, 465] [11, 26, 79, 94, 118, 143, 185, 200, 219, 225, 247, 249, 293, 340, 350, 369, 390, 409, 419, 466] [12, 27, 80, 95, 119, 144, 186, 201, 220, 226, 248, 250, 294, 341, 351, 370, 391, 410, 420, 467] [13, 28, 81, 96, 120, 145, 187, 202, 221, 227, 249, 251, 295, 342, 352, 371, 392, 411, 421, 468] [14, 29, 82, 97, 121, 146, 188, 203, 222, 228, 250, 252, 296, 343, 353, 372, 393, 412, 422, 469] [15, 30, 83, 98, 122, 147, 189, 204, 223, 229, 251, 253, 297, 344, 354, 373, 394, 413, 423, 470] [16, 31, 84, 99, 123, 148, 190, 205, 224, 230, 252, 254, 298, 345, 355, 374, 395, 414, 424, 471] [17, 32, 85, 100, 124, 149, 191, 206, 225, 231, 253, 255, 299, 346, 356, 375, 396, 415, 425, 472] [18, 33, 86, 101, 125, 150, 192, 207, 226, 232, 254, 256, 300, 347, 357, 376, 397, 416, 426, 473] [0, 19, 34, 87, 102, 126, 151, 193, 208, 227, 233, 255, 301, 348, 358, 377, 398, 417, 427, 474] [1, 20, 35, 88, 103, 127, 152, 194, 209, 228, 234, 256, 302, 349, 359, 378, 399, 418, 428, 475] [0, 2, 21, 36, 89, 104, 128, 153, 195, 210, 229, 235, 303, 350, 360, 379, 400, 419, 429, 476] [1, 3, 22, 37, 90, 105, 129, 154, 196, 211, 230, 236, 304, 351, 361, 380, 401, 420, 430, 477] [2, 4, 23, 38, 91, 106, 130, 155, 197, 212, 231, 237, 305, 352, 362, 381, 402, 421, 431, 478] [3, 5, 24, 39, 92, 107, 131, 156, 198, 213, 232, 238, 306, 353, 363, 382, 403, 422, 432, 479] [4, 6, 25, 40, 93, 108, 132, 157, 199, 214, 233, 239, 307, 354, 364, 383, 404, 423, 433, 480] [5, 7, 26, 41, 94, 109, 133, 158, 200, 215, 234, 240, 308, 355, 365, 384, 405, 424, 434, 481] [6, 8, 27, 42, 95, 110, 134, 159, 201, 216, 235, 241, 309, 356, 366, 385, 406, 425, 435, 482] [7, 9, 28, 43, 96, 111, 135, 160, 202, 217, 236, 242, 310, 357, 367, 386, 407, 426, 436, 483] [8, 10, 29, 44, 97, 112, 136, 161, 203, 218, 237, 243, 311, 358, 368, 387, 408, 427, 437, 484] [9, 11, 30, 45, 98, 113, 137, 162, 204, 219, 238, 244, 312, 359, 369, 388, 409, 428, 438, 485] [10, 12, 31, 46, 99, 114, 138, 163, 205, 220, 239, 245, 313, 360, 370, 389, 410, 429, 439, 486] [11, 13, 32, 47, 100, 115, 139, 164, 206, 221, 240, 246, 314, 361, 371, 390, 411, 430, 440, 487] [12, 14, 33, 48, 101, 116, 140, 165, 207, 222, 241, 247, 315, 362, 372, 391, 412, 431, 441, 488] [13, 15, 34, 49, 102, 117, 141, 166, 208, 223, 242, 248, 316, 363, 373, 392, 413, 432, 442, 489] [14, 16, 35, 50, 103, 118, 142, 167, 209, 224, 243, 249, 317, 364, 374, 393, 414, 433, 443, 490] [15, 17, 36, 51, 104, 119, 143, 168, 210, 225, 244, 250, 318, 365, 375, 394, 415, 434, 444, 491] [16, 18, 37, 52, 105, 120, 144, 169, 211, 226, 245, 251, 319, 366, 376, 395, 416, 435, 445, 492] [17, 19, 38, 53, 106, 121, 145, 170, 212, 227, 246, 252, 320, 367, 377, 396, 417, 436, 446, 493] [18, 20, 39, 54, 107, 122, 146, 171, 213, 228, 247, 253, 321, 368, 378, 397, 418, 437, 447, 494] [19, 21, 40, 55, 108, 123, 147, 172, 214, 229, 248, 254, 322, 369, 379, 398, 419, 438, 448, 495] [20, 22, 41, 56, 109, 124, 148, 173, 215, 230, 249, 255, 323, 370, 380, 399, 420, 439, 449, 496] [21, 23, 42, 57, 110, 125, 149, 174, 216, 231, 250, 256, 324, 371, 381, 400, 421, 440, 450, 497] [0, 22, 24, 43, 58, 111, 126, 150, 175, 217, 232, 251, 325, 372, 382, 401, 422, 441, 451, 498] [1, 23, 25, 44, 59, 112, 127, 151, 176, 218, 233, 252, 326, 373, 383, 402, 423, 442, 452, 499] [2, 24, 26, 45, 60, 113, 128, 152, 177, 219, 234, 253, 327, 374, 384, 403, 424, 443, 453, 500] [3, 25, 27, 46, 61, 114, 129, 153, 178, 220, 235, 254, 328, 375, 385, 404, 425, 444, 454, 501] [4, 26, 28, 47, 62, 115, 130, 154, 179, 221, 236, 255, 329, 376, 386, 405, 426, 445, 455, 502] [5, 27, 29, 48, 63, 116, 131, 155, 180, 222, 237, 256, 330, 377, 387, 406, 427, 446, 456, 503] [0, 6, 28, 30, 49, 64, 117, 132, 156, 181, 223, 238, 331, 378, 388, 407, 428, 447, 457, 504] [1, 7, 29, 31, 50, 65, 118, 133, 157, 182, 224, 239, 332, 379, 389, 408, 429, 448, 458, 505] [2, 8, 30, 32, 51, 66, 119, 134, 158, 183, 225, 240, 333, 380, 390, 409, 430, 449, 459, 506] [3, 9, 31, 33, 52, 67, 120, 135, 159, 184, 226, 241, 334, 381, 391, 410, 431, 450, 460, 507] [4, 10, 32, 34, 53, 68, 121, 136, 160, 185, 227, 242, 335, 382, 392, 411, 432, 451, 461, 508] [5, 11, 33, 35, 54, 69, 122, 137, 161, 186, 228, 243, 336, 383, 393, 412, 433, 452, 462, 509] [6, 12, 34, 36, 55, 70, 123, 138, 162, 187, 229, 244, 337, 384, 394, 413, 434, 453, 463, 510] [7, 13, 35, 37, 56, 71, 124, 139, 163, 188, 230, 245, 338, 385, 395, 414, 435, 454, 464, 511] [8, 14, 36, 38, 57, 72, 125, 140, 164, 189, 231, 246, 339, 386, 396, 415, 436, 455, 465, 512] [9, 15, 37, 39, 58, 73, 126, 141, 165, 190, 232, 247, 340, 387, 397, 416, 437, 456, 466, 513] [10, 16, 38, 40, 59, 74, 127, 142, 166, 191, 233, 248, 257, 341, 388, 398, 417, 438, 457, 467] [11, 17, 39, 41, 60, 75, 128, 143, 167, 192, 234, 249, 258, 342, 389, 399, 418, 439, 458, 468] [12, 18, 40, 42, 61, 76, 129, 144, 168, 193, 235, 250, 259, 343, 390, 400, 419, 440, 459, 469] [13, 19, 41, 43, 62, 77, 130, 145, 169, 194, 236, 251, 260, 344, 391, 401, 420, 441, 460, 470] [14, 20, 42, 44, 63, 78, 131, 146, 170, 195, 237, 252, 261, 345, 392, 402, 421, 442, 461, 471] [15, 21, 43, 45, 64, 79, 132, 147, 171, 196, 238, 253, 262, 346, 393, 403, 422, 443, 462, 472] [16, 22, 44, 46, 65, 80, 133, 148, 172, 197, 239, 254, 263, 347, 394, 404, 423, 444, 463, 473] [17, 23, 45, 47, 66, 81, 134, 149, 173, 198, 240, 255, 264, 348, 395, 405, 424, 445, 464, 474] [18, 24, 46, 48, 67, 82, 135, 150, 174, 199, 241, 256, 265, 349, 396, 406, 425, 446, 465, 475] [0, 19, 25, 47, 49, 68, 83, 136, 151, 175, 200, 242, 266, 350, 397, 407, 426, 447, 466, 476] [1, 20, 26, 48, 50, 69, 84, 137, 152, 176, 201, 243, 267, 351, 398, 408, 427, 448, 467, 477] [2, 21, 27, 49, 51, 70, 85, 138, 153, 177, 202, 244, 268, 352, 399, 409, 428, 449, 468, 478] [3, 22, 28, 50, 52, 71, 86, 139, 154, 178, 203, 245, 269, 353, 400, 410, 429, 450, 469, 479] [4, 23, 29, 51, 53, 72, 87, 140, 155, 179, 204, 246, 270, 354, 401, 411, 430, 451, 470, 480] [5, 24, 30, 52, 54, 73, 88, 141, 156, 180, 205, 247, 271, 355, 402, 412, 431, 452, 471, 481] [6, 25, 31, 53, 55, 74, 89, 142, 157, 181, 206, 248, 272, 356, 403, 413, 432, 453, 472, 482] [7, 26, 32, 54, 56, 75, 90, 143, 158, 182, 207, 249, 273, 357, 404, 414, 433, 454, 473, 483] [8, 27, 33, 55, 57, 76, 91, 144, 159, 183, 208, 250, 274, 358, 405, 415, 434, 455, 474, 484] [9, 28, 34, 56, 58, 77, 92, 145, 160, 184, 209, 251, 275, 359, 406, 416, 435, 456, 475, 485] [10, 29, 35, 57, 59, 78, 93, 146, 161, 185, 210, 252, 276, 360, 407, 417, 436, 457, 476, 486] [11, 30, 36, 58, 60, 79, 94, 147, 162, 186, 211, 253, 277, 361, 408, 418, 437, 458, 477, 487] [12, 31, 37, 59, 61, 80, 95, 148, 163, 187, 212, 254, 278, 362, 409, 419, 438, 459, 478, 488] [13, 32, 38, 60, 62, 81, 96, 149, 164, 188, 213, 255, 279, 363, 410, 420, 439, 460, 479, 489] [14, 33, 39, 61, 63, 82, 97, 150, 165, 189, 214, 256, 280, 364, 411, 421, 440, 461, 480, 490] [0, 15, 34, 40, 62, 64, 83, 98, 151, 166, 190, 215, 281, 365, 412, 422, 441, 462, 481, 491] [1, 16, 35, 41, 63, 65, 84, 99, 152, 167, 191, 216, 282, 366, 413, 423, 442, 463, 482, 492] [2, 17, 36, 42, 64, 66, 85, 100, 153, 168, 192, 217, 283, 367, 414, 424, 443, 464, 483, 493] [3, 18, 37, 43, 65, 67, 86, 101, 154, 169, 193, 218, 284, 368, 415, 425, 444, 465, 484, 494] [4, 19, 38, 44, 66, 68, 87, 102, 155, 170, 194, 219, 285, 369, 416, 426, 445, 466, 485, 495] [5, 20, 39, 45, 67, 69, 88, 103, 156, 171, 195, 220, 286, 370, 417, 427, 446, 467, 486, 496] [6, 21, 40, 46, 68, 70, 89, 104, 157, 172, 196, 221, 287, 371, 418, 428, 447, 468, 487, 497] [7, 22, 41, 47, 69, 71, 90, 105, 158, 173, 197, 222, 288, 372, 419, 429, 448, 469, 488, 498] [8, 23, 42, 48, 70, 72, 91, 106, 159, 174, 198, 223, 289, 373, 420, 430, 449, 470, 489, 499] [9, 24, 43, 49, 71, 73, 92, 107, 160, 175, 199, 224, 290, 374, 421, 431, 450, 471, 490, 500] [10, 25, 44, 50, 72, 74, 93, 108, 161, 176, 200, 225, 291, 375, 422, 432, 451, 472, 491, 501] [11, 26, 45, 51, 73, 75, 94, 109, 162, 177, 201, 226, 292, 376, 423, 433, 452, 473, 492, 502] [12, 27, 46, 52, 74, 76, 95, 110, 163, 178, 202, 227, 293, 377, 424, 434, 453, 474, 493, 503] [13, 28, 47, 53, 75, 77, 96, 111, 164, 179, 203, 228, 294, 378, 425, 435, 454, 475, 494, 504] [14, 29, 48, 54, 76, 78, 97, 112, 165, 180, 204, 229, 295, 379, 426, 436, 455, 476, 495, 505] [15, 30, 49, 55, 77, 79, 98, 113, 166, 181, 205, 230, 296, 380, 427, 437, 456, 477, 496, 506] [16, 31, 50, 56, 78, 80, 99, 114, 167, 182, 206, 231, 297, 381, 428, 438, 457, 478, 497, 507] [17, 32, 51, 57, 79, 81, 100, 115, 168, 183, 207, 232, 298, 382, 429, 439, 458, 479, 498, 508] [18, 33, 52, 58, 80, 82, 101, 116, 169, 184, 208, 233, 299, 383, 430, 440, 459, 480, 499, 509] [19, 34, 53, 59, 81, 83, 102, 117, 170, 185, 209, 234, 300, 384, 431, 441, 460, 481, 500, 510] [20, 35, 54, 60, 82, 84, 103, 118, 171, 186, 210, 235, 301, 385, 432, 442, 461, 482, 501, 511] [21, 36, 55, 61, 83, 85, 104, 119, 172, 187, 211, 236, 302, 386, 433, 443, 462, 483, 502, 512] [22, 37, 56, 62, 84, 86, 105, 120, 173, 188, 212, 237, 303, 387, 434, 444, 463, 484, 503, 513] [23, 38, 57, 63, 85, 87, 106, 121, 174, 189, 213, 238, 257, 304, 388, 435, 445, 464, 485, 504] [24, 39, 58, 64, 86, 88, 107, 122, 175, 190, 214, 239, 258, 305, 389, 436, 446, 465, 486, 505] [25, 40, 59, 65, 87, 89, 108, 123, 176, 191, 215, 240, 259, 306, 390, 437, 447, 466, 487, 506] [26, 41, 60, 66, 88, 90, 109, 124, 177, 192, 216, 241, 260, 307, 391, 438, 448, 467, 488, 507] [27, 42, 61, 67, 89, 91, 110, 125, 178, 193, 217, 242, 261, 308, 392, 439, 449, 468, 489, 508] [28, 43, 62, 68, 90, 92, 111, 126, 179, 194, 218, 243, 262, 309, 393, 440, 450, 469, 490, 509] [29, 44, 63, 69, 91, 93, 112, 127, 180, 195, 219, 244, 263, 310, 394, 441, 451, 470, 491, 510] [30, 45, 64, 70, 92, 94, 113, 128, 181, 196, 220, 245, 264, 311, 395, 442, 452, 471, 492, 511] [31, 46, 65, 71, 93, 95, 114, 129, 182, 197, 221, 246, 265, 312, 396, 443, 453, 472, 493, 512] [32, 47, 66, 72, 94, 96, 115, 130, 183, 198, 222, 247, 266, 313, 397, 444, 454, 473, 494, 513] [33, 48, 67, 73, 95, 97, 116, 131, 184, 199, 223, 248, 257, 267, 314, 398, 445, 455, 474, 495] [34, 49, 68, 74, 96, 98, 117, 132, 185, 200, 224, 249, 258, 268, 315, 399, 446, 456, 475, 496] [35, 50, 69, 75, 97, 99, 118, 133, 186, 201, 225, 250, 259, 269, 316, 400, 447, 457, 476, 497] [36, 51, 70, 76, 98, 100, 119, 134, 187, 202, 226, 251, 260, 270, 317, 401, 448, 458, 477, 498] [37, 52, 71, 77, 99, 101, 120, 135, 188, 203, 227, 252, 261, 271, 318, 402, 449, 459, 478, 499] [38, 53, 72, 78, 100, 102, 121, 136, 189, 204, 228, 253, 262, 272, 319, 403, 450, 460, 479, 500] [39, 54, 73, 79, 101, 103, 122, 137, 190, 205, 229, 254, 263, 273, 320, 404, 451, 461, 480, 501] [40, 55, 74, 80, 102, 104, 123, 138, 191, 206, 230, 255, 264, 274, 321, 405, 452, 462, 481, 502]
H_Z (257 checks, sparse supports)
[11, 32, 51, 61, 108, 192, 239, 249, 258, 283, 307, 322, 375, 390, 409, 411, 433, 439, 458, 473] [12, 33, 52, 62, 109, 193, 240, 250, 259, 284, 308, 323, 376, 391, 410, 412, 434, 440, 459, 474] [13, 34, 53, 63, 110, 194, 241, 251, 260, 285, 309, 324, 377, 392, 411, 413, 435, 441, 460, 475] [14, 35, 54, 64, 111, 195, 242, 252, 261, 286, 310, 325, 378, 393, 412, 414, 436, 442, 461, 476] [15, 36, 55, 65, 112, 196, 243, 253, 262, 287, 311, 326, 379, 394, 413, 415, 437, 443, 462, 477] [16, 37, 56, 66, 113, 197, 244, 254, 263, 288, 312, 327, 380, 395, 414, 416, 438, 444, 463, 478] [17, 38, 57, 67, 114, 198, 245, 255, 264, 289, 313, 328, 381, 396, 415, 417, 439, 445, 464, 479] [18, 39, 58, 68, 115, 199, 246, 256, 265, 290, 314, 329, 382, 397, 416, 418, 440, 446, 465, 480] [0, 19, 40, 59, 69, 116, 200, 247, 266, 291, 315, 330, 383, 398, 417, 419, 441, 447, 466, 481] [1, 20, 41, 60, 70, 117, 201, 248, 267, 292, 316, 331, 384, 399, 418, 420, 442, 448, 467, 482] [2, 21, 42, 61, 71, 118, 202, 249, 268, 293, 317, 332, 385, 400, 419, 421, 443, 449, 468, 483] [3, 22, 43, 62, 72, 119, 203, 250, 269, 294, 318, 333, 386, 401, 420, 422, 444, 450, 469, 484] [4, 23, 44, 63, 73, 120, 204, 251, 270, 295, 319, 334, 387, 402, 421, 423, 445, 451, 470, 485] [5, 24, 45, 64, 74, 121, 205, 252, 271, 296, 320, 335, 388, 403, 422, 424, 446, 452, 471, 486] [6, 25, 46, 65, 75, 122, 206, 253, 272, 297, 321, 336, 389, 404, 423, 425, 447, 453, 472, 487] [7, 26, 47, 66, 76, 123, 207, 254, 273, 298, 322, 337, 390, 405, 424, 426, 448, 454, 473, 488] [8, 27, 48, 67, 77, 124, 208, 255, 274, 299, 323, 338, 391, 406, 425, 427, 449, 455, 474, 489] [9, 28, 49, 68, 78, 125, 209, 256, 275, 300, 324, 339, 392, 407, 426, 428, 450, 456, 475, 490] [0, 10, 29, 50, 69, 79, 126, 210, 276, 301, 325, 340, 393, 408, 427, 429, 451, 457, 476, 491] [1, 11, 30, 51, 70, 80, 127, 211, 277, 302, 326, 341, 394, 409, 428, 430, 452, 458, 477, 492] [2, 12, 31, 52, 71, 81, 128, 212, 278, 303, 327, 342, 395, 410, 429, 431, 453, 459, 478, 493] [3, 13, 32, 53, 72, 82, 129, 213, 279, 304, 328, 343, 396, 411, 430, 432, 454, 460, 479, 494] [4, 14, 33, 54, 73, 83, 130, 214, 280, 305, 329, 344, 397, 412, 431, 433, 455, 461, 480, 495] [5, 15, 34, 55, 74, 84, 131, 215, 281, 306, 330, 345, 398, 413, 432, 434, 456, 462, 481, 496] [6, 16, 35, 56, 75, 85, 132, 216, 282, 307, 331, 346, 399, 414, 433, 435, 457, 463, 482, 497] [7, 17, 36, 57, 76, 86, 133, 217, 283, 308, 332, 347, 400, 415, 434, 436, 458, 464, 483, 498] [8, 18, 37, 58, 77, 87, 134, 218, 284, 309, 333, 348, 401, 416, 435, 437, 459, 465, 484, 499] [9, 19, 38, 59, 78, 88, 135, 219, 285, 310, 334, 349, 402, 417, 436, 438, 460, 466, 485, 500] [10, 20, 39, 60, 79, 89, 136, 220, 286, 311, 335, 350, 403, 418, 437, 439, 461, 467, 486, 501] [11, 21, 40, 61, 80, 90, 137, 221, 287, 312, 336, 351, 404, 419, 438, 440, 462, 468, 487, 502] [12, 22, 41, 62, 81, 91, 138, 222, 288, 313, 337, 352, 405, 420, 439, 441, 463, 469, 488, 503] [13, 23, 42, 63, 82, 92, 139, 223, 289, 314, 338, 353, 406, 421, 440, 442, 464, 470, 489, 504] [14, 24, 43, 64, 83, 93, 140, 224, 290, 315, 339, 354, 407, 422, 441, 443, 465, 471, 490, 505] [15, 25, 44, 65, 84, 94, 141, 225, 291, 316, 340, 355, 408, 423, 442, 444, 466, 472, 491, 506] [16, 26, 45, 66, 85, 95, 142, 226, 292, 317, 341, 356, 409, 424, 443, 445, 467, 473, 492, 507] [17, 27, 46, 67, 86, 96, 143, 227, 293, 318, 342, 357, 410, 425, 444, 446, 468, 474, 493, 508] [18, 28, 47, 68, 87, 97, 144, 228, 294, 319, 343, 358, 411, 426, 445, 447, 469, 475, 494, 509] [19, 29, 48, 69, 88, 98, 145, 229, 295, 320, 344, 359, 412, 427, 446, 448, 470, 476, 495, 510] [20, 30, 49, 70, 89, 99, 146, 230, 296, 321, 345, 360, 413, 428, 447, 449, 471, 477, 496, 511] [21, 31, 50, 71, 90, 100, 147, 231, 297, 322, 346, 361, 414, 429, 448, 450, 472, 478, 497, 512] [22, 32, 51, 72, 91, 101, 148, 232, 298, 323, 347, 362, 415, 430, 449, 451, 473, 479, 498, 513] [23, 33, 52, 73, 92, 102, 149, 233, 257, 299, 324, 348, 363, 416, 431, 450, 452, 474, 480, 499] [24, 34, 53, 74, 93, 103, 150, 234, 258, 300, 325, 349, 364, 417, 432, 451, 453, 475, 481, 500] [25, 35, 54, 75, 94, 104, 151, 235, 259, 301, 326, 350, 365, 418, 433, 452, 454, 476, 482, 501] [26, 36, 55, 76, 95, 105, 152, 236, 260, 302, 327, 351, 366, 419, 434, 453, 455, 477, 483, 502] [27, 37, 56, 77, 96, 106, 153, 237, 261, 303, 328, 352, 367, 420, 435, 454, 456, 478, 484, 503] [28, 38, 57, 78, 97, 107, 154, 238, 262, 304, 329, 353, 368, 421, 436, 455, 457, 479, 485, 504] [29, 39, 58, 79, 98, 108, 155, 239, 263, 305, 330, 354, 369, 422, 437, 456, 458, 480, 486, 505] [30, 40, 59, 80, 99, 109, 156, 240, 264, 306, 331, 355, 370, 423, 438, 457, 459, 481, 487, 506] [31, 41, 60, 81, 100, 110, 157, 241, 265, 307, 332, 356, 371, 424, 439, 458, 460, 482, 488, 507] [32, 42, 61, 82, 101, 111, 158, 242, 266, 308, 333, 357, 372, 425, 440, 459, 461, 483, 489, 508] [33, 43, 62, 83, 102, 112, 159, 243, 267, 309, 334, 358, 373, 426, 441, 460, 462, 484, 490, 509] [34, 44, 63, 84, 103, 113, 160, 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246, 261, 285, 300, 353, 368, 387, 389, 411, 417, 436, 451, 493] [11, 30, 40, 87, 171, 218, 228, 247, 262, 286, 301, 354, 369, 388, 390, 412, 418, 437, 452, 494] [12, 31, 41, 88, 172, 219, 229, 248, 263, 287, 302, 355, 370, 389, 391, 413, 419, 438, 453, 495] [13, 32, 42, 89, 173, 220, 230, 249, 264, 288, 303, 356, 371, 390, 392, 414, 420, 439, 454, 496] [14, 33, 43, 90, 174, 221, 231, 250, 265, 289, 304, 357, 372, 391, 393, 415, 421, 440, 455, 497] [15, 34, 44, 91, 175, 222, 232, 251, 266, 290, 305, 358, 373, 392, 394, 416, 422, 441, 456, 498] [16, 35, 45, 92, 176, 223, 233, 252, 267, 291, 306, 359, 374, 393, 395, 417, 423, 442, 457, 499] [17, 36, 46, 93, 177, 224, 234, 253, 268, 292, 307, 360, 375, 394, 396, 418, 424, 443, 458, 500] [18, 37, 47, 94, 178, 225, 235, 254, 269, 293, 308, 361, 376, 395, 397, 419, 425, 444, 459, 501] [19, 38, 48, 95, 179, 226, 236, 255, 270, 294, 309, 362, 377, 396, 398, 420, 426, 445, 460, 502] [20, 39, 49, 96, 180, 227, 237, 256, 271, 295, 310, 363, 378, 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50, 60, 107, 191, 238, 248, 257, 282, 306, 321, 374, 389, 408, 410, 432, 438, 457, 472]
Code ID 514-98-54 · download JSON · raw on GitHub