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[[490,20,70]] d ≤
n
490
k
20
d
70
kd²/n
200.0
w
28
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 70, d_Z ≤ 70 · w_X = 28, w_Z = 28 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 70 · witness weight 70 (claimed upper_bound)
witness operator (support, 70 qubits)
[8, 10, 13, 17, 18, 23, 24, 28, 31, 33, 43, 45, 48, 52, 53, 58, 59, 63, 66, 68, 78, 80, 83, 87, 88, 93, 94, 98, 101, 103, 113, 115, 118, 122, 123, 128, 129, 133, 136, 138, 148, 150, 153, 157, 158, 163, 164, 168, 171, 173, 183, 185, 188, 192, 193, 198, 199, 203, 206, 208, 218, 220, 223, 227, 228, 233, 234, 238, 241, 243]
d_Z 70 · witness weight 70 (claimed upper_bound)
witness operator (support, 70 qubits)
[247, 249, 252, 256, 257, 262, 263, 267, 270, 272, 282, 284, 287, 291, 292, 297, 298, 302, 305, 307, 317, 319, 322, 326, 327, 332, 333, 337, 340, 342, 352, 354, 357, 361, 362, 367, 368, 372, 375, 377, 387, 389, 392, 396, 397, 402, 403, 407, 410, 412, 422, 424, 427, 431, 432, 437, 438, 442, 445, 447, 457, 459, 462, 466, 467, 472, 473, 477, 480, 482]
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 28 · H_Z 28
qubit degrees H_X 11–17 (mean 14.0) · H_Z 11–17 (mean 14.0)
trapping sets H_X (1,11)×245 (2,18)×1960 (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): 245 (1,17): 245 (2,18): 1960 (2,20): 9555 (2,22): 1470 (2,24): 9555 (2,26): 22295 (2,28): 3185 (2,30): 5390 (2,32): 12985
trapping sets H_Z (1,11)×245 (2,18)×1960 (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): 245 (1,17): 245 (2,18): 1960 (2,20): 9555 (2,22): 1470 (2,24): 9555 (2,26): 22295 (2,28): 3185 (2,30): 5390 (2,32): 12985

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x245 - 1 with a(x) = x12 + x17 + x35 + x48 + x81 + x89 + x170 + x218 + x225 + x232 + x243, b(x) = x13 + x18 + x34 + x40 + x42 + x54 + x58 + x81 + x91 + x113 + x151 + x168 + x204 + x225 + x229 + x230 + x234; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-09-24
notes Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed.
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

[[490,20,70]] weight-28 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 28 cover a wide blocklength range, and the board's coverage of that range is uneven: there are stretches of n where no entry sits near the (k, d) the family can reach. A broad randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work, finds the gaps.

Construction

ring x^245 - 1 a(x) = x^12 + x^17 + x^35 + x^48 + x^81 + x^89 + x^170 + x^218 + x^225 + x^232 + x^243 b(x) = x^13 + x^18 + x^34 + x^40 + x^42 + x^54 + x^58 + x^81 + x^91 + x^113 + x^151 + x^168 + x^204 + x^225 + x^229 + x^230 + x^234 H_X = [circ(a) | circ(b)] H_Z = [circ(b)^T | circ(a)^T]

n = 2m, and k = 2 deg gcd(a, b, x^m - 1), computed by Euclid before any matrix work so that most draws are discarded for free.

What was swept

One loop draws a ring size and a weight split, samples the two sparse polynomials, computes k by Euclid, and runs a cheap 60k-trial distance screen. A draw survives only if the resulting (n, k, d, w) is undominated on the live board snapshot. Surviving draws go through an escalating ladder of 400k, 2M and 8M random information-set trials, with the board comparison repeated at each rung so a candidate that collapses is dropped as soon as it stops being interesting.

The single-block check

General RIS over all 2m columns is close to blind to a logical supported entirely on one block. Such a vector u satisfies a(x) u(x) = 0 mod x^m - 1, which puts u in the ideal generated by h = (x^m - 1) / gcd(a, x^m - 1), so it can be searched directly in a space of dimension deg h rather than 2m. This matters: a previous submission of mine survived 150M general RIS trials at weight 74 and was then refuted by a weight-64 logical sitting entirely in one block, which the ideal search finds in seconds. Every candidate here is checked that way before the distance is believed, and any candidate whose single-block bound comes in below the ladder is dropped rather than submitted.

Distance ladder

Witness search runs on each side separately, so a run that happens to find one side cannot leave the other without a witness. Both witnesses are re-checked directly against H: in the kernel of the opposite matrix, and outside the row space of its own.

What it advances

Score kd^2/n = 200.0 at check weight 28. Undominated in its cell against the board at submission time.

Boundary

The distance is an upper bound from witness search, not a proof. Literature novelty is unverified: cyclic GB codes are a classical family and these parameters may appear in the 2BGA literature.

Parity checks

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