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[[514,64,64]] d ≤
n
514
k
64
d
64
kd²/n
510.008
w
20
X/Z
1.03

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Distance

X/Z asymmetry 1.03 · d_X ≤ 64, d_Z ≤ 66 · 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 64 · witness weight 64 (claimed upper_bound)
witness operator (support, 64 qubits)
[5, 6, 7, 8, 22, 25, 27, 35, 39, 48, 67, 74, 89, 94, 99, 124, 128, 144, 153, 158, 171, 177, 185, 199, 206, 221, 225, 231, 236, 249, 251, 252, 256, 274, 291, 299, 311, 313, 315, 317, 326, 334, 346, 377, 385, 386, 394, 395, 411, 417, 420, 421, 439, 442, 445, 455, 458, 465, 466, 474, 481, 487, 502, 507]
d_Z 66 · witness weight 66 (claimed upper_bound)
witness operator (support, 66 qubits)
[5, 9, 19, 21, 49, 59, 63, 66, 71, 76, 79, 81, 82, 83, 88, 107, 114, 123, 125, 161, 163, 170, 177, 190, 194, 195, 218, 220, 263, 268, 272, 280, 284, 296, 301, 317, 321, 323, 324, 327, 329, 339, 341, 344, 346, 349, 357, 358, 359, 364, 369, 384, 386, 416, 417, 420, 421, 430, 438, 440, 444, 450, 475, 487, 497, 501]
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 9–11 (mean 10.0) · H_Z 9–11 (mean 10.0)
trapping sets H_X (1,9)×257 (2,14)×1542 (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
(1,9): 257 (1,11): 257 (2,14): 1542 (2,16): 9252 (2,18): 21588 (2,20): 10023
trapping sets H_Z (1,9)×257 (2,14)×1542 (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
(1,9): 257 (1,11): 257 (2,14): 1542 (2,16): 9252 (2,18): 21588 (2,20): 10023

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) = x28 + x70 + x83 + x127 + x177 + x185 + x210 + x211 + x243, b(x) = x63 + x69 + x71 + x114 + x133 + x143 + x185 + x205 + x232 + x236 + x238; 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 32, fixing k = 2 deg gcd(a, b, x^m - 1) = 64.
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. m = 257 is prime, so there is no quotient fold at all; the orbit fold over every equal-orbit partition of the 514 qubits returns a validated lift of weight 162, and a single-block circulant search at 12 seeds x 600,000 trials finds nothing under 76. Both single-block gcds equal 32, matching deg gcd(a, b, x^m - 1). Draws with both polynomial weights even are rejected, since (x+1) then divides the gcd and adds the root-1 coset, which drops the single-block BCH bound from 86 to 52 at this degree. Distance is a witness-backed upper bound from 24 random information-set seeds at 2,000,000 trials each over 28,956 s, with the per-seed spread running 64 to 70; one seed of the 24 found 64 and the rest sat at 66 or above. 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

--- author: "@vprusso" ---

[[514,64,64]] — cyclic generalized-bicycle code from a designed divisor ideal

No board entry at n <= 514 reaches k >= 64 and d >= 64 together. The best entry at this blocklength is [[514,128,52]] at kd^2/n = 673.4, against 510.0 here, so this adds a distinct corner rather than a better score: twice the distance at half the dimension and two thirds the row weight.

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 chosen. m = 257 is prime, so there is no quotient fold at all: a proper divisor t of m would give a ceiling of (m/t) d_t, and a prime modulus has none. That leaves the two-orbit block swap and the single-block bound as the only structural ceilings, and 257 is the only prime in range with ord_2(m) <= 20, the limit the primitive-polynomial table imposes.

Degree 32 was the target, giving k = 64, where the single-block BCH bound is 86 — the highest of any reachable degree at this modulus.

What was searched

The cyclotomic cosets of x^257 - 1 over GF(2) are one of size 1 and sixteen of size 16, so reachable divisor degrees are multiples of 16 plus an optional 1. The divisor is assembled from coset minimal polynomials over GF(2^16), and a and b are drawn as low-weight codewords of its ideal by Prange information-set decoding.

Draws where both polynomial weights are even are rejected. (x+1) divides a polynomial exactly when its weight is even, so it divides gcd(a, b) exactly when both are, which silently adds the root-1 coset to the gcd and lands the sweep two degrees above its target. That is the worst place to land here: the BCH bound reads 90, 86 and 74 at k = 32, 64 and 96, and 64, 52 and 44 at k = 34, 66 and 98.

Triage read 76 at 20,000 trials; the confirmation settled it at 64.

Evidence trail

Divisor degree 32, so k = 64. Both single-block gcds equal 32, matching deg gcd(a, b, x^m - 1), so neither circulant block carries a kernel wider than k requires.

  • General RIS, 24 random information-set seeds at 2,000,000 trials each:

    • lightest logical weight 64, per-seed spread 64 to 70.

  • Orbit fold over every equal-orbit partition of the 514 qubits

    • (research/foldbound.py): lightest validated lift weight 162. A prime modulus leaves only the two-orbit block swap, and it is not binding.

  • Single-block circulant search, 12 seeds at 600,000 trials: nothing under 76.

The claim is d = 64, a witness-backed upper bound, with both witnesses in the submission and re-checked against H_X and H_Z by plain integer arithmetic.

Dead ends

A partial gate is not a result, and this family demonstrated it twice in one session. At k = 128 the gate read 54 across its first eighteen seeds, which would have superseded the [[514,128,52]] on the board, and seeds nineteen through twenty-four turned up a single 52 that made the candidate worthless. The final distribution there was one seed at 52, five at 54, sixteen at 56 and two at 58, so the minimum rode on one rare seed rather than on the mode. This code's own gate was quoted as "stable at 66 after eighteen seeds" until all twenty-four had run.

Degrees 80, 96 and 112 (k = 160, 192 and 224) produced nothing undominated across 300 draws each on eight processes, despite domination thresholds of only d > 30 at k = 160 and d > 13 at k = 192. A low threshold is not on its own a reason to search a cell; the general distance never reached even those.

Tools

Claude Opus 5 under Claude Code. gf2_fast from verify/ for the accelerated RIS and single-block searches, verify/gf2.py for GF(2) rank, nullspace and logical bases, research/foldbound.py for the orbit fold, and verify/validate_candidate.py for the verdict. Divisor assembly and the information-set draw are described above rather than committed.

Reproduction

m = 257, n = 514, k = 64.

a(x) = x^28 + x^70 + x^83 + x^127 + x^177 + x^185 + x^210 + x^211 + x^243
b(x) = x^63 + x^69 + x^71 + x^114 + x^133 + x^143 + x^185 + x^205 + x^232
     + x^236 + x^238

H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T], with circ(p)[i, j] = 1 exactly when j - i mod 257 is an exponent of p. The exact supports are in codes/514-64-64.json.

Parity checks

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