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[[630,36,90]] d ≤
n
630
k
36
d
90
kd²/n
462.857
w
32
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 90, d_Z ≤ 90 · w_X = 32, w_Z = 32 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 90 · witness weight 90 (claimed upper_bound)
witness operator (support, 90 qubits)
[1, 3, 8, 10, 15, 17, 22, 24, 29, 31, 36, 38, 43, 45, 50, 52, 57, 59, 64, 66, 71, 73, 78, 80, 85, 87, 92, 94, 99, 101, 106, 108, 113, 115, 120, 122, 127, 129, 134, 136, 141, 143, 148, 150, 155, 157, 162, 164, 169, 171, 176, 178, 183, 185, 190, 192, 197, 199, 204, 206, 211, 213, 218, 220, 225, 227, 232, 234, 239, 241, 246, 248, 253, 255, 260, 262, 267, 269, 274, 276, 281, 283, 288, 290, 295, 297, 302, 304, 309, 311]
d_Z 90 · witness weight 90 (claimed upper_bound)
witness operator (support, 90 qubits)
[319, 321, 326, 328, 333, 335, 340, 342, 347, 349, 354, 356, 361, 363, 368, 370, 375, 377, 382, 384, 389, 391, 396, 398, 403, 405, 410, 412, 417, 419, 424, 426, 431, 433, 438, 440, 445, 447, 452, 454, 459, 461, 466, 468, 473, 475, 480, 482, 487, 489, 494, 496, 501, 503, 508, 510, 515, 517, 522, 524, 529, 531, 536, 538, 543, 545, 550, 552, 557, 559, 564, 566, 571, 573, 578, 580, 585, 587, 592, 594, 599, 601, 606, 608, 613, 615, 620, 622, 627, 629]
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 32 · H_Z 32
qubit degrees H_X 9–23 (mean 16.0) · H_Z 9–23 (mean 16.0)
trapping sets H_X (1,9)×315 (2,14)×315 (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): 315 (1,23): 315 (2,14): 315 (2,16): 10710 (2,26): 2205 (2,28): 11025 (2,30): 36540 (2,34): 315 (2,36): 315 (2,38): 1260 (2,40): 9135 (2,42): 14490 (2,44): 14805
trapping sets H_Z (1,9)×315 (2,14)×315 (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): 315 (1,23): 315 (2,14): 315 (2,16): 10710 (2,26): 2205 (2,28): 11025 (2,30): 36540 (2,34): 315 (2,36): 315 (2,38): 1260 (2,40): 9135 (2,42): 14490 (2,44): 14805

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x315 - 1 with a(x) = x5 + x22 + x40 + x45 + x50 + x75 + x85 + x105 + x106 + x110 + x111 + x133 + x138 + x151 + x162 + x164 + x195 + x216 + x246 + x262 + x288 + x303 + x308, b(x) = x3 + x51 + x120 + x126 + x144 + x147 + x251 + x280 + x285; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-09-25
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

[[630,36,90]] weight-32 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 32 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^315 - 1 a(x) = x^5 + x^22 + x^40 + x^45 + x^50 + x^75 + x^85 + x^105 + x^106 + x^110 + x^111 + x^133 + x^138 + x^151 + x^162 + x^164 + x^195 + x^216 + x^246 + x^262 + x^288 + x^303 + x^308 b(x) = x^3 + x^51 + x^120 + x^126 + x^144 + x^147 + x^251 + x^280 + x^285 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 = 462.857 at check weight 32. 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 315 (max weight 32) · Z-checks 315 (max weight 32)
H_X (315 checks, sparse supports)
[5, 22, 40, 45, 50, 75, 85, 105, 106, 110, 111, 133, 138, 151, 162, 164, 195, 216, 246, 262, 288, 303, 308, 318, 366, 435, 441, 459, 462, 566, 595, 600] [6, 23, 41, 46, 51, 76, 86, 106, 107, 111, 112, 134, 139, 152, 163, 165, 196, 217, 247, 263, 289, 304, 309, 319, 367, 436, 442, 460, 463, 567, 596, 601] [7, 24, 42, 47, 52, 77, 87, 107, 108, 112, 113, 135, 140, 153, 164, 166, 197, 218, 248, 264, 290, 305, 310, 320, 368, 437, 443, 461, 464, 568, 597, 602] [8, 25, 43, 48, 53, 78, 88, 108, 109, 113, 114, 136, 141, 154, 165, 167, 198, 219, 249, 265, 291, 306, 311, 321, 369, 438, 444, 462, 465, 569, 598, 603] [9, 26, 44, 49, 54, 79, 89, 109, 110, 114, 115, 137, 142, 155, 166, 168, 199, 220, 250, 266, 292, 307, 312, 322, 370, 439, 445, 463, 466, 570, 599, 604] [10, 27, 45, 50, 55, 80, 90, 110, 111, 115, 116, 138, 143, 156, 167, 169, 200, 221, 251, 267, 293, 308, 313, 323, 371, 440, 446, 464, 467, 571, 600, 605] [11, 28, 46, 51, 56, 81, 91, 111, 112, 116, 117, 139, 144, 157, 168, 170, 201, 222, 252, 268, 294, 309, 314, 324, 372, 441, 447, 465, 468, 572, 601, 606] [0, 12, 29, 47, 52, 57, 82, 92, 112, 113, 117, 118, 140, 145, 158, 169, 171, 202, 223, 253, 269, 295, 310, 325, 373, 442, 448, 466, 469, 573, 602, 607] [1, 13, 30, 48, 53, 58, 83, 93, 113, 114, 118, 119, 141, 146, 159, 170, 172, 203, 224, 254, 270, 296, 311, 326, 374, 443, 449, 467, 470, 574, 603, 608] [2, 14, 31, 49, 54, 59, 84, 94, 114, 115, 119, 120, 142, 147, 160, 171, 173, 204, 225, 255, 271, 297, 312, 327, 375, 444, 450, 468, 471, 575, 604, 609] [3, 15, 32, 50, 55, 60, 85, 95, 115, 116, 120, 121, 143, 148, 161, 172, 174, 205, 226, 256, 272, 298, 313, 328, 376, 445, 451, 469, 472, 576, 605, 610] [4, 16, 33, 51, 56, 61, 86, 96, 116, 117, 121, 122, 144, 149, 162, 173, 175, 206, 227, 257, 273, 299, 314, 329, 377, 446, 452, 470, 473, 577, 606, 611] [0, 5, 17, 34, 52, 57, 62, 87, 97, 117, 118, 122, 123, 145, 150, 163, 174, 176, 207, 228, 258, 274, 300, 330, 378, 447, 453, 471, 474, 578, 607, 612] [1, 6, 18, 35, 53, 58, 63, 88, 98, 118, 119, 123, 124, 146, 151, 164, 175, 177, 208, 229, 259, 275, 301, 331, 379, 448, 454, 472, 475, 579, 608, 613] [2, 7, 19, 36, 54, 59, 64, 89, 99, 119, 120, 124, 125, 147, 152, 165, 176, 178, 209, 230, 260, 276, 302, 332, 380, 449, 455, 473, 476, 580, 609, 614] [3, 8, 20, 37, 55, 60, 65, 90, 100, 120, 121, 125, 126, 148, 153, 166, 177, 179, 210, 231, 261, 277, 303, 333, 381, 450, 456, 474, 477, 581, 610, 615] [4, 9, 21, 38, 56, 61, 66, 91, 101, 121, 122, 126, 127, 149, 154, 167, 178, 180, 211, 232, 262, 278, 304, 334, 382, 451, 457, 475, 478, 582, 611, 616] [5, 10, 22, 39, 57, 62, 67, 92, 102, 122, 123, 127, 128, 150, 155, 168, 179, 181, 212, 233, 263, 279, 305, 335, 383, 452, 458, 476, 479, 583, 612, 617] [6, 11, 23, 40, 58, 63, 68, 93, 103, 123, 124, 128, 129, 151, 156, 169, 180, 182, 213, 234, 264, 280, 306, 336, 384, 453, 459, 477, 480, 584, 613, 618] [7, 12, 24, 41, 59, 64, 69, 94, 104, 124, 125, 129, 130, 152, 157, 170, 181, 183, 214, 235, 265, 281, 307, 337, 385, 454, 460, 478, 481, 585, 614, 619] [8, 13, 25, 42, 60, 65, 70, 95, 105, 125, 126, 130, 131, 153, 158, 171, 182, 184, 215, 236, 266, 282, 308, 338, 386, 455, 461, 479, 482, 586, 615, 620] [9, 14, 26, 43, 61, 66, 71, 96, 106, 126, 127, 131, 132, 154, 159, 172, 183, 185, 216, 237, 267, 283, 309, 339, 387, 456, 462, 480, 483, 587, 616, 621] [10, 15, 27, 44, 62, 67, 72, 97, 107, 127, 128, 132, 133, 155, 160, 173, 184, 186, 217, 238, 268, 284, 310, 340, 388, 457, 463, 481, 484, 588, 617, 622] [11, 16, 28, 45, 63, 68, 73, 98, 108, 128, 129, 133, 134, 156, 161, 174, 185, 187, 218, 239, 269, 285, 311, 341, 389, 458, 464, 482, 485, 589, 618, 623] [12, 17, 29, 46, 64, 69, 74, 99, 109, 129, 130, 134, 135, 157, 162, 175, 186, 188, 219, 240, 270, 286, 312, 342, 390, 459, 465, 483, 486, 590, 619, 624] [13, 18, 30, 47, 65, 70, 75, 100, 110, 130, 131, 135, 136, 158, 163, 176, 187, 189, 220, 241, 271, 287, 313, 343, 391, 460, 466, 484, 487, 591, 620, 625] [14, 19, 31, 48, 66, 71, 76, 101, 111, 131, 132, 136, 137, 159, 164, 177, 188, 190, 221, 242, 272, 288, 314, 344, 392, 461, 467, 485, 488, 592, 621, 626] [0, 15, 20, 32, 49, 67, 72, 77, 102, 112, 132, 133, 137, 138, 160, 165, 178, 189, 191, 222, 243, 273, 289, 345, 393, 462, 468, 486, 489, 593, 622, 627] [1, 16, 21, 33, 50, 68, 73, 78, 103, 113, 133, 134, 138, 139, 161, 166, 179, 190, 192, 223, 244, 274, 290, 346, 394, 463, 469, 487, 490, 594, 623, 628] [2, 17, 22, 34, 51, 69, 74, 79, 104, 114, 134, 135, 139, 140, 162, 167, 180, 191, 193, 224, 245, 275, 291, 347, 395, 464, 470, 488, 491, 595, 624, 629] [3, 18, 23, 35, 52, 70, 75, 80, 105, 115, 135, 136, 140, 141, 163, 168, 181, 192, 194, 225, 246, 276, 292, 315, 348, 396, 465, 471, 489, 492, 596, 625] [4, 19, 24, 36, 53, 71, 76, 81, 106, 116, 136, 137, 141, 142, 164, 169, 182, 193, 195, 226, 247, 277, 293, 316, 349, 397, 466, 472, 490, 493, 597, 626] [5, 20, 25, 37, 54, 72, 77, 82, 107, 117, 137, 138, 142, 143, 165, 170, 183, 194, 196, 227, 248, 278, 294, 317, 350, 398, 467, 473, 491, 494, 598, 627] [6, 21, 26, 38, 55, 73, 78, 83, 108, 118, 138, 139, 143, 144, 166, 171, 184, 195, 197, 228, 249, 279, 295, 318, 351, 399, 468, 474, 492, 495, 599, 628] [7, 22, 27, 39, 56, 74, 79, 84, 109, 119, 139, 140, 144, 145, 167, 172, 185, 196, 198, 229, 250, 280, 296, 319, 352, 400, 469, 475, 493, 496, 600, 629] [8, 23, 28, 40, 57, 75, 80, 85, 110, 120, 140, 141, 145, 146, 168, 173, 186, 197, 199, 230, 251, 281, 297, 315, 320, 353, 401, 470, 476, 494, 497, 601] [9, 24, 29, 41, 58, 76, 81, 86, 111, 121, 141, 142, 146, 147, 169, 174, 187, 198, 200, 231, 252, 282, 298, 316, 321, 354, 402, 471, 477, 495, 498, 602] [10, 25, 30, 42, 59, 77, 82, 87, 112, 122, 142, 143, 147, 148, 170, 175, 188, 199, 201, 232, 253, 283, 299, 317, 322, 355, 403, 472, 478, 496, 499, 603] [11, 26, 31, 43, 60, 78, 83, 88, 113, 123, 143, 144, 148, 149, 171, 176, 189, 200, 202, 233, 254, 284, 300, 318, 323, 356, 404, 473, 479, 497, 500, 604] [12, 27, 32, 44, 61, 79, 84, 89, 114, 124, 144, 145, 149, 150, 172, 177, 190, 201, 203, 234, 255, 285, 301, 319, 324, 357, 405, 474, 480, 498, 501, 605] [13, 28, 33, 45, 62, 80, 85, 90, 115, 125, 145, 146, 150, 151, 173, 178, 191, 202, 204, 235, 256, 286, 302, 320, 325, 358, 406, 475, 481, 499, 502, 606] [14, 29, 34, 46, 63, 81, 86, 91, 116, 126, 146, 147, 151, 152, 174, 179, 192, 203, 205, 236, 257, 287, 303, 321, 326, 359, 407, 476, 482, 500, 503, 607] [15, 30, 35, 47, 64, 82, 87, 92, 117, 127, 147, 148, 152, 153, 175, 180, 193, 204, 206, 237, 258, 288, 304, 322, 327, 360, 408, 477, 483, 501, 504, 608] [16, 31, 36, 48, 65, 83, 88, 93, 118, 128, 148, 149, 153, 154, 176, 181, 194, 205, 207, 238, 259, 289, 305, 323, 328, 361, 409, 478, 484, 502, 505, 609] [17, 32, 37, 49, 66, 84, 89, 94, 119, 129, 149, 150, 154, 155, 177, 182, 195, 206, 208, 239, 260, 290, 306, 324, 329, 362, 410, 479, 485, 503, 506, 610] [18, 33, 38, 50, 67, 85, 90, 95, 120, 130, 150, 151, 155, 156, 178, 183, 196, 207, 209, 240, 261, 291, 307, 325, 330, 363, 411, 480, 486, 504, 507, 611] [19, 34, 39, 51, 68, 86, 91, 96, 121, 131, 151, 152, 156, 157, 179, 184, 197, 208, 210, 241, 262, 292, 308, 326, 331, 364, 412, 481, 487, 505, 508, 612] [20, 35, 40, 52, 69, 87, 92, 97, 122, 132, 152, 153, 157, 158, 180, 185, 198, 209, 211, 242, 263, 293, 309, 327, 332, 365, 413, 482, 488, 506, 509, 613] [21, 36, 41, 53, 70, 88, 93, 98, 123, 133, 153, 154, 158, 159, 181, 186, 199, 210, 212, 243, 264, 294, 310, 328, 333, 366, 414, 483, 489, 507, 510, 614] [22, 37, 42, 54, 71, 89, 94, 99, 124, 134, 154, 155, 159, 160, 182, 187, 200, 211, 213, 244, 265, 295, 311, 329, 334, 367, 415, 484, 490, 508, 511, 615] [23, 38, 43, 55, 72, 90, 95, 100, 125, 135, 155, 156, 160, 161, 183, 188, 201, 212, 214, 245, 266, 296, 312, 330, 335, 368, 416, 485, 491, 509, 512, 616] [24, 39, 44, 56, 73, 91, 96, 101, 126, 136, 156, 157, 161, 162, 184, 189, 202, 213, 215, 246, 267, 297, 313, 331, 336, 369, 417, 486, 492, 510, 513, 617] [25, 40, 45, 57, 74, 92, 97, 102, 127, 137, 157, 158, 162, 163, 185, 190, 203, 214, 216, 247, 268, 298, 314, 332, 337, 370, 418, 487, 493, 511, 514, 618] [0, 26, 41, 46, 58, 75, 93, 98, 103, 128, 138, 158, 159, 163, 164, 186, 191, 204, 215, 217, 248, 269, 299, 333, 338, 371, 419, 488, 494, 512, 515, 619] [1, 27, 42, 47, 59, 76, 94, 99, 104, 129, 139, 159, 160, 164, 165, 187, 192, 205, 216, 218, 249, 270, 300, 334, 339, 372, 420, 489, 495, 513, 516, 620] [2, 28, 43, 48, 60, 77, 95, 100, 105, 130, 140, 160, 161, 165, 166, 188, 193, 206, 217, 219, 250, 271, 301, 335, 340, 373, 421, 490, 496, 514, 517, 621] [3, 29, 44, 49, 61, 78, 96, 101, 106, 131, 141, 161, 162, 166, 167, 189, 194, 207, 218, 220, 251, 272, 302, 336, 341, 374, 422, 491, 497, 515, 518, 622] [4, 30, 45, 50, 62, 79, 97, 102, 107, 132, 142, 162, 163, 167, 168, 190, 195, 208, 219, 221, 252, 273, 303, 337, 342, 375, 423, 492, 498, 516, 519, 623] [5, 31, 46, 51, 63, 80, 98, 103, 108, 133, 143, 163, 164, 168, 169, 191, 196, 209, 220, 222, 253, 274, 304, 338, 343, 376, 424, 493, 499, 517, 520, 624] [6, 32, 47, 52, 64, 81, 99, 104, 109, 134, 144, 164, 165, 169, 170, 192, 197, 210, 221, 223, 254, 275, 305, 339, 344, 377, 425, 494, 500, 518, 521, 625] [7, 33, 48, 53, 65, 82, 100, 105, 110, 135, 145, 165, 166, 170, 171, 193, 198, 211, 222, 224, 255, 276, 306, 340, 345, 378, 426, 495, 501, 519, 522, 626] [8, 34, 49, 54, 66, 83, 101, 106, 111, 136, 146, 166, 167, 171, 172, 194, 199, 212, 223, 225, 256, 277, 307, 341, 346, 379, 427, 496, 502, 520, 523, 627] [9, 35, 50, 55, 67, 84, 102, 107, 112, 137, 147, 167, 168, 172, 173, 195, 200, 213, 224, 226, 257, 278, 308, 342, 347, 380, 428, 497, 503, 521, 524, 628] [10, 36, 51, 56, 68, 85, 103, 108, 113, 138, 148, 168, 169, 173, 174, 196, 201, 214, 225, 227, 258, 279, 309, 343, 348, 381, 429, 498, 504, 522, 525, 629] [11, 37, 52, 57, 69, 86, 104, 109, 114, 139, 149, 169, 170, 174, 175, 197, 202, 215, 226, 228, 259, 280, 310, 315, 344, 349, 382, 430, 499, 505, 523, 526] [12, 38, 53, 58, 70, 87, 105, 110, 115, 140, 150, 170, 171, 175, 176, 198, 203, 216, 227, 229, 260, 281, 311, 316, 345, 350, 383, 431, 500, 506, 524, 527] [13, 39, 54, 59, 71, 88, 106, 111, 116, 141, 151, 171, 172, 176, 177, 199, 204, 217, 228, 230, 261, 282, 312, 317, 346, 351, 384, 432, 501, 507, 525, 528] [14, 40, 55, 60, 72, 89, 107, 112, 117, 142, 152, 172, 173, 177, 178, 200, 205, 218, 229, 231, 262, 283, 313, 318, 347, 352, 385, 433, 502, 508, 526, 529] [15, 41, 56, 61, 73, 90, 108, 113, 118, 143, 153, 173, 174, 178, 179, 201, 206, 219, 230, 232, 263, 284, 314, 319, 348, 353, 386, 434, 503, 509, 527, 530] [0, 16, 42, 57, 62, 74, 91, 109, 114, 119, 144, 154, 174, 175, 179, 180, 202, 207, 220, 231, 233, 264, 285, 320, 349, 354, 387, 435, 504, 510, 528, 531] [1, 17, 43, 58, 63, 75, 92, 110, 115, 120, 145, 155, 175, 176, 180, 181, 203, 208, 221, 232, 234, 265, 286, 321, 350, 355, 388, 436, 505, 511, 529, 532] [2, 18, 44, 59, 64, 76, 93, 111, 116, 121, 146, 156, 176, 177, 181, 182, 204, 209, 222, 233, 235, 266, 287, 322, 351, 356, 389, 437, 506, 512, 530, 533] [3, 19, 45, 60, 65, 77, 94, 112, 117, 122, 147, 157, 177, 178, 182, 183, 205, 210, 223, 234, 236, 267, 288, 323, 352, 357, 390, 438, 507, 513, 531, 534] [4, 20, 46, 61, 66, 78, 95, 113, 118, 123, 148, 158, 178, 179, 183, 184, 206, 211, 224, 235, 237, 268, 289, 324, 353, 358, 391, 439, 508, 514, 532, 535] [5, 21, 47, 62, 67, 79, 96, 114, 119, 124, 149, 159, 179, 180, 184, 185, 207, 212, 225, 236, 238, 269, 290, 325, 354, 359, 392, 440, 509, 515, 533, 536] [6, 22, 48, 63, 68, 80, 97, 115, 120, 125, 150, 160, 180, 181, 185, 186, 208, 213, 226, 237, 239, 270, 291, 326, 355, 360, 393, 441, 510, 516, 534, 537] [7, 23, 49, 64, 69, 81, 98, 116, 121, 126, 151, 161, 181, 182, 186, 187, 209, 214, 227, 238, 240, 271, 292, 327, 356, 361, 394, 442, 511, 517, 535, 538] [8, 24, 50, 65, 70, 82, 99, 117, 122, 127, 152, 162, 182, 183, 187, 188, 210, 215, 228, 239, 241, 272, 293, 328, 357, 362, 395, 443, 512, 518, 536, 539] [9, 25, 51, 66, 71, 83, 100, 118, 123, 128, 153, 163, 183, 184, 188, 189, 211, 216, 229, 240, 242, 273, 294, 329, 358, 363, 396, 444, 513, 519, 537, 540] [10, 26, 52, 67, 72, 84, 101, 119, 124, 129, 154, 164, 184, 185, 189, 190, 212, 217, 230, 241, 243, 274, 295, 330, 359, 364, 397, 445, 514, 520, 538, 541] [11, 27, 53, 68, 73, 85, 102, 120, 125, 130, 155, 165, 185, 186, 190, 191, 213, 218, 231, 242, 244, 275, 296, 331, 360, 365, 398, 446, 515, 521, 539, 542] [12, 28, 54, 69, 74, 86, 103, 121, 126, 131, 156, 166, 186, 187, 191, 192, 214, 219, 232, 243, 245, 276, 297, 332, 361, 366, 399, 447, 516, 522, 540, 543] [13, 29, 55, 70, 75, 87, 104, 122, 127, 132, 157, 167, 187, 188, 192, 193, 215, 220, 233, 244, 246, 277, 298, 333, 362, 367, 400, 448, 517, 523, 541, 544] [14, 30, 56, 71, 76, 88, 105, 123, 128, 133, 158, 168, 188, 189, 193, 194, 216, 221, 234, 245, 247, 278, 299, 334, 363, 368, 401, 449, 518, 524, 542, 545] [15, 31, 57, 72, 77, 89, 106, 124, 129, 134, 159, 169, 189, 190, 194, 195, 217, 222, 235, 246, 248, 279, 300, 335, 364, 369, 402, 450, 519, 525, 543, 546] [16, 32, 58, 73, 78, 90, 107, 125, 130, 135, 160, 170, 190, 191, 195, 196, 218, 223, 236, 247, 249, 280, 301, 336, 365, 370, 403, 451, 520, 526, 544, 547] [17, 33, 59, 74, 79, 91, 108, 126, 131, 136, 161, 171, 191, 192, 196, 197, 219, 224, 237, 248, 250, 281, 302, 337, 366, 371, 404, 452, 521, 527, 545, 548] [18, 34, 60, 75, 80, 92, 109, 127, 132, 137, 162, 172, 192, 193, 197, 198, 220, 225, 238, 249, 251, 282, 303, 338, 367, 372, 405, 453, 522, 528, 546, 549] [19, 35, 61, 76, 81, 93, 110, 128, 133, 138, 163, 173, 193, 194, 198, 199, 221, 226, 239, 250, 252, 283, 304, 339, 368, 373, 406, 454, 523, 529, 547, 550] [20, 36, 62, 77, 82, 94, 111, 129, 134, 139, 164, 174, 194, 195, 199, 200, 222, 227, 240, 251, 253, 284, 305, 340, 369, 374, 407, 455, 524, 530, 548, 551] [21, 37, 63, 78, 83, 95, 112, 130, 135, 140, 165, 175, 195, 196, 200, 201, 223, 228, 241, 252, 254, 285, 306, 341, 370, 375, 408, 456, 525, 531, 549, 552] [22, 38, 64, 79, 84, 96, 113, 131, 136, 141, 166, 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344, 413, 419, 437, 440, 544, 573, 578, 611] [1, 19, 24, 29, 54, 64, 84, 85, 89, 90, 112, 117, 130, 141, 143, 174, 195, 225, 241, 267, 282, 287, 299, 345, 414, 420, 438, 441, 545, 574, 579, 612] [2, 20, 25, 30, 55, 65, 85, 86, 90, 91, 113, 118, 131, 142, 144, 175, 196, 226, 242, 268, 283, 288, 300, 346, 415, 421, 439, 442, 546, 575, 580, 613] [3, 21, 26, 31, 56, 66, 86, 87, 91, 92, 114, 119, 132, 143, 145, 176, 197, 227, 243, 269, 284, 289, 301, 347, 416, 422, 440, 443, 547, 576, 581, 614] [4, 22, 27, 32, 57, 67, 87, 88, 92, 93, 115, 120, 133, 144, 146, 177, 198, 228, 244, 270, 285, 290, 302, 348, 417, 423, 441, 444, 548, 577, 582, 615] [5, 23, 28, 33, 58, 68, 88, 89, 93, 94, 116, 121, 134, 145, 147, 178, 199, 229, 245, 271, 286, 291, 303, 349, 418, 424, 442, 445, 549, 578, 583, 616] [6, 24, 29, 34, 59, 69, 89, 90, 94, 95, 117, 122, 135, 146, 148, 179, 200, 230, 246, 272, 287, 292, 304, 350, 419, 425, 443, 446, 550, 579, 584, 617] [7, 25, 30, 35, 60, 70, 90, 91, 95, 96, 118, 123, 136, 147, 149, 180, 201, 231, 247, 273, 288, 293, 305, 351, 420, 426, 444, 447, 551, 580, 585, 618] [8, 26, 31, 36, 61, 71, 91, 92, 96, 97, 119, 124, 137, 148, 150, 181, 202, 232, 248, 274, 289, 294, 306, 352, 421, 427, 445, 448, 552, 581, 586, 619] [9, 27, 32, 37, 62, 72, 92, 93, 97, 98, 120, 125, 138, 149, 151, 182, 203, 233, 249, 275, 290, 295, 307, 353, 422, 428, 446, 449, 553, 582, 587, 620] [10, 28, 33, 38, 63, 73, 93, 94, 98, 99, 121, 126, 139, 150, 152, 183, 204, 234, 250, 276, 291, 296, 308, 354, 423, 429, 447, 450, 554, 583, 588, 621] [11, 29, 34, 39, 64, 74, 94, 95, 99, 100, 122, 127, 140, 151, 153, 184, 205, 235, 251, 277, 292, 297, 309, 355, 424, 430, 448, 451, 555, 584, 589, 622] [12, 30, 35, 40, 65, 75, 95, 96, 100, 101, 123, 128, 141, 152, 154, 185, 206, 236, 252, 278, 293, 298, 310, 356, 425, 431, 449, 452, 556, 585, 590, 623] [13, 31, 36, 41, 66, 76, 96, 97, 101, 102, 124, 129, 142, 153, 155, 186, 207, 237, 253, 279, 294, 299, 311, 357, 426, 432, 450, 453, 557, 586, 591, 624] [14, 32, 37, 42, 67, 77, 97, 98, 102, 103, 125, 130, 143, 154, 156, 187, 208, 238, 254, 280, 295, 300, 312, 358, 427, 433, 451, 454, 558, 587, 592, 625] [15, 33, 38, 43, 68, 78, 98, 99, 103, 104, 126, 131, 144, 155, 157, 188, 209, 239, 255, 281, 296, 301, 313, 359, 428, 434, 452, 455, 559, 588, 593, 626] [16, 34, 39, 44, 69, 79, 99, 100, 104, 105, 127, 132, 145, 156, 158, 189, 210, 240, 256, 282, 297, 302, 314, 360, 429, 435, 453, 456, 560, 589, 594, 627] [0, 17, 35, 40, 45, 70, 80, 100, 101, 105, 106, 128, 133, 146, 157, 159, 190, 211, 241, 257, 283, 298, 303, 361, 430, 436, 454, 457, 561, 590, 595, 628] [1, 18, 36, 41, 46, 71, 81, 101, 102, 106, 107, 129, 134, 147, 158, 160, 191, 212, 242, 258, 284, 299, 304, 362, 431, 437, 455, 458, 562, 591, 596, 629] [2, 19, 37, 42, 47, 72, 82, 102, 103, 107, 108, 130, 135, 148, 159, 161, 192, 213, 243, 259, 285, 300, 305, 315, 363, 432, 438, 456, 459, 563, 592, 597] [3, 20, 38, 43, 48, 73, 83, 103, 104, 108, 109, 131, 136, 149, 160, 162, 193, 214, 244, 260, 286, 301, 306, 316, 364, 433, 439, 457, 460, 564, 593, 598] [4, 21, 39, 44, 49, 74, 84, 104, 105, 109, 110, 132, 137, 150, 161, 163, 194, 215, 245, 261, 287, 302, 307, 317, 365, 434, 440, 458, 461, 565, 594, 599]
H_Z (315 checks, sparse supports)
[30, 35, 64, 168, 171, 189, 195, 264, 312, 322, 327, 342, 368, 384, 414, 435, 466, 468, 479, 492, 497, 519, 520, 524, 525, 545, 555, 580, 585, 590, 608, 625] [31, 36, 65, 169, 172, 190, 196, 265, 313, 323, 328, 343, 369, 385, 415, 436, 467, 469, 480, 493, 498, 520, 521, 525, 526, 546, 556, 581, 586, 591, 609, 626] [32, 37, 66, 170, 173, 191, 197, 266, 314, 324, 329, 344, 370, 386, 416, 437, 468, 470, 481, 494, 499, 521, 522, 526, 527, 547, 557, 582, 587, 592, 610, 627] [0, 33, 38, 67, 171, 174, 192, 198, 267, 325, 330, 345, 371, 387, 417, 438, 469, 471, 482, 495, 500, 522, 523, 527, 528, 548, 558, 583, 588, 593, 611, 628] [1, 34, 39, 68, 172, 175, 193, 199, 268, 326, 331, 346, 372, 388, 418, 439, 470, 472, 483, 496, 501, 523, 524, 528, 529, 549, 559, 584, 589, 594, 612, 629] [2, 35, 40, 69, 173, 176, 194, 200, 269, 315, 327, 332, 347, 373, 389, 419, 440, 471, 473, 484, 497, 502, 524, 525, 529, 530, 550, 560, 585, 590, 595, 613] [3, 36, 41, 70, 174, 177, 195, 201, 270, 316, 328, 333, 348, 374, 390, 420, 441, 472, 474, 485, 498, 503, 525, 526, 530, 531, 551, 561, 586, 591, 596, 614] [4, 37, 42, 71, 175, 178, 196, 202, 271, 317, 329, 334, 349, 375, 391, 421, 442, 473, 475, 486, 499, 504, 526, 527, 531, 532, 552, 562, 587, 592, 597, 615] [5, 38, 43, 72, 176, 179, 197, 203, 272, 318, 330, 335, 350, 376, 392, 422, 443, 474, 476, 487, 500, 505, 527, 528, 532, 533, 553, 563, 588, 593, 598, 616] [6, 39, 44, 73, 177, 180, 198, 204, 273, 319, 331, 336, 351, 377, 393, 423, 444, 475, 477, 488, 501, 506, 528, 529, 533, 534, 554, 564, 589, 594, 599, 617] [7, 40, 45, 74, 178, 181, 199, 205, 274, 320, 332, 337, 352, 378, 394, 424, 445, 476, 478, 489, 502, 507, 529, 530, 534, 535, 555, 565, 590, 595, 600, 618] [8, 41, 46, 75, 179, 182, 200, 206, 275, 321, 333, 338, 353, 379, 395, 425, 446, 477, 479, 490, 503, 508, 530, 531, 535, 536, 556, 566, 591, 596, 601, 619] [9, 42, 47, 76, 180, 183, 201, 207, 276, 322, 334, 339, 354, 380, 396, 426, 447, 478, 480, 491, 504, 509, 531, 532, 536, 537, 557, 567, 592, 597, 602, 620] [10, 43, 48, 77, 181, 184, 202, 208, 277, 323, 335, 340, 355, 381, 397, 427, 448, 479, 481, 492, 505, 510, 532, 533, 537, 538, 558, 568, 593, 598, 603, 621] [11, 44, 49, 78, 182, 185, 203, 209, 278, 324, 336, 341, 356, 382, 398, 428, 449, 480, 482, 493, 506, 511, 533, 534, 538, 539, 559, 569, 594, 599, 604, 622] [12, 45, 50, 79, 183, 186, 204, 210, 279, 325, 337, 342, 357, 383, 399, 429, 450, 481, 483, 494, 507, 512, 534, 535, 539, 540, 560, 570, 595, 600, 605, 623] [13, 46, 51, 80, 184, 187, 205, 211, 280, 326, 338, 343, 358, 384, 400, 430, 451, 482, 484, 495, 508, 513, 535, 536, 540, 541, 561, 571, 596, 601, 606, 624] [14, 47, 52, 81, 185, 188, 206, 212, 281, 327, 339, 344, 359, 385, 401, 431, 452, 483, 485, 496, 509, 514, 536, 537, 541, 542, 562, 572, 597, 602, 607, 625] [15, 48, 53, 82, 186, 189, 207, 213, 282, 328, 340, 345, 360, 386, 402, 432, 453, 484, 486, 497, 510, 515, 537, 538, 542, 543, 563, 573, 598, 603, 608, 626] [16, 49, 54, 83, 187, 190, 208, 214, 283, 329, 341, 346, 361, 387, 403, 433, 454, 485, 487, 498, 511, 516, 538, 539, 543, 544, 564, 574, 599, 604, 609, 627] [17, 50, 55, 84, 188, 191, 209, 215, 284, 330, 342, 347, 362, 388, 404, 434, 455, 486, 488, 499, 512, 517, 539, 540, 544, 545, 565, 575, 600, 605, 610, 628] [18, 51, 56, 85, 189, 192, 210, 216, 285, 331, 343, 348, 363, 389, 405, 435, 456, 487, 489, 500, 513, 518, 540, 541, 545, 546, 566, 576, 601, 606, 611, 629] [19, 52, 57, 86, 190, 193, 211, 217, 286, 315, 332, 344, 349, 364, 390, 406, 436, 457, 488, 490, 501, 514, 519, 541, 542, 546, 547, 567, 577, 602, 607, 612] [20, 53, 58, 87, 191, 194, 212, 218, 287, 316, 333, 345, 350, 365, 391, 407, 437, 458, 489, 491, 502, 515, 520, 542, 543, 547, 548, 568, 578, 603, 608, 613] [21, 54, 59, 88, 192, 195, 213, 219, 288, 317, 334, 346, 351, 366, 392, 408, 438, 459, 490, 492, 503, 516, 521, 543, 544, 548, 549, 569, 579, 604, 609, 614] [22, 55, 60, 89, 193, 196, 214, 220, 289, 318, 335, 347, 352, 367, 393, 409, 439, 460, 491, 493, 504, 517, 522, 544, 545, 549, 550, 570, 580, 605, 610, 615] [23, 56, 61, 90, 194, 197, 215, 221, 290, 319, 336, 348, 353, 368, 394, 410, 440, 461, 492, 494, 505, 518, 523, 545, 546, 550, 551, 571, 581, 606, 611, 616] [24, 57, 62, 91, 195, 198, 216, 222, 291, 320, 337, 349, 354, 369, 395, 411, 441, 462, 493, 495, 506, 519, 524, 546, 547, 551, 552, 572, 582, 607, 612, 617] [25, 58, 63, 92, 196, 199, 217, 223, 292, 321, 338, 350, 355, 370, 396, 412, 442, 463, 494, 496, 507, 520, 525, 547, 548, 552, 553, 573, 583, 608, 613, 618] [26, 59, 64, 93, 197, 200, 218, 224, 293, 322, 339, 351, 356, 371, 397, 413, 443, 464, 495, 497, 508, 521, 526, 548, 549, 553, 554, 574, 584, 609, 614, 619] [27, 60, 65, 94, 198, 201, 219, 225, 294, 323, 340, 352, 357, 372, 398, 414, 444, 465, 496, 498, 509, 522, 527, 549, 550, 554, 555, 575, 585, 610, 615, 620] [28, 61, 66, 95, 199, 202, 220, 226, 295, 324, 341, 353, 358, 373, 399, 415, 445, 466, 497, 499, 510, 523, 528, 550, 551, 555, 556, 576, 586, 611, 616, 621] [29, 62, 67, 96, 200, 203, 221, 227, 296, 325, 342, 354, 359, 374, 400, 416, 446, 467, 498, 500, 511, 524, 529, 551, 552, 556, 557, 577, 587, 612, 617, 622] [30, 63, 68, 97, 201, 204, 222, 228, 297, 326, 343, 355, 360, 375, 401, 417, 447, 468, 499, 501, 512, 525, 530, 552, 553, 557, 558, 578, 588, 613, 618, 623] [31, 64, 69, 98, 202, 205, 223, 229, 298, 327, 344, 356, 361, 376, 402, 418, 448, 469, 500, 502, 513, 526, 531, 553, 554, 558, 559, 579, 589, 614, 619, 624] [32, 65, 70, 99, 203, 206, 224, 230, 299, 328, 345, 357, 362, 377, 403, 419, 449, 470, 501, 503, 514, 527, 532, 554, 555, 559, 560, 580, 590, 615, 620, 625] [33, 66, 71, 100, 204, 207, 225, 231, 300, 329, 346, 358, 363, 378, 404, 420, 450, 471, 502, 504, 515, 528, 533, 555, 556, 560, 561, 581, 591, 616, 621, 626] [34, 67, 72, 101, 205, 208, 226, 232, 301, 330, 347, 359, 364, 379, 405, 421, 451, 472, 503, 505, 516, 529, 534, 556, 557, 561, 562, 582, 592, 617, 622, 627] [35, 68, 73, 102, 206, 209, 227, 233, 302, 331, 348, 360, 365, 380, 406, 422, 452, 473, 504, 506, 517, 530, 535, 557, 558, 562, 563, 583, 593, 618, 623, 628] [36, 69, 74, 103, 207, 210, 228, 234, 303, 332, 349, 361, 366, 381, 407, 423, 453, 474, 505, 507, 518, 531, 536, 558, 559, 563, 564, 584, 594, 619, 624, 629] [37, 70, 75, 104, 208, 211, 229, 235, 304, 315, 333, 350, 362, 367, 382, 408, 424, 454, 475, 506, 508, 519, 532, 537, 559, 560, 564, 565, 585, 595, 620, 625] [38, 71, 76, 105, 209, 212, 230, 236, 305, 316, 334, 351, 363, 368, 383, 409, 425, 455, 476, 507, 509, 520, 533, 538, 560, 561, 565, 566, 586, 596, 621, 626] [39, 72, 77, 106, 210, 213, 231, 237, 306, 317, 335, 352, 364, 369, 384, 410, 426, 456, 477, 508, 510, 521, 534, 539, 561, 562, 566, 567, 587, 597, 622, 627] [40, 73, 78, 107, 211, 214, 232, 238, 307, 318, 336, 353, 365, 370, 385, 411, 427, 457, 478, 509, 511, 522, 535, 540, 562, 563, 567, 568, 588, 598, 623, 628] [41, 74, 79, 108, 212, 215, 233, 239, 308, 319, 337, 354, 366, 371, 386, 412, 428, 458, 479, 510, 512, 523, 536, 541, 563, 564, 568, 569, 589, 599, 624, 629] [42, 75, 80, 109, 213, 216, 234, 240, 309, 315, 320, 338, 355, 367, 372, 387, 413, 429, 459, 480, 511, 513, 524, 537, 542, 564, 565, 569, 570, 590, 600, 625] [43, 76, 81, 110, 214, 217, 235, 241, 310, 316, 321, 339, 356, 368, 373, 388, 414, 430, 460, 481, 512, 514, 525, 538, 543, 565, 566, 570, 571, 591, 601, 626] [44, 77, 82, 111, 215, 218, 236, 242, 311, 317, 322, 340, 357, 369, 374, 389, 415, 431, 461, 482, 513, 515, 526, 539, 544, 566, 567, 571, 572, 592, 602, 627] [45, 78, 83, 112, 216, 219, 237, 243, 312, 318, 323, 341, 358, 370, 375, 390, 416, 432, 462, 483, 514, 516, 527, 540, 545, 567, 568, 572, 573, 593, 603, 628] [46, 79, 84, 113, 217, 220, 238, 244, 313, 319, 324, 342, 359, 371, 376, 391, 417, 433, 463, 484, 515, 517, 528, 541, 546, 568, 569, 573, 574, 594, 604, 629] [47, 80, 85, 114, 218, 221, 239, 245, 314, 315, 320, 325, 343, 360, 372, 377, 392, 418, 434, 464, 485, 516, 518, 529, 542, 547, 569, 570, 574, 575, 595, 605] [0, 48, 81, 86, 115, 219, 222, 240, 246, 316, 321, 326, 344, 361, 373, 378, 393, 419, 435, 465, 486, 517, 519, 530, 543, 548, 570, 571, 575, 576, 596, 606] [1, 49, 82, 87, 116, 220, 223, 241, 247, 317, 322, 327, 345, 362, 374, 379, 394, 420, 436, 466, 487, 518, 520, 531, 544, 549, 571, 572, 576, 577, 597, 607] [2, 50, 83, 88, 117, 221, 224, 242, 248, 318, 323, 328, 346, 363, 375, 380, 395, 421, 437, 467, 488, 519, 521, 532, 545, 550, 572, 573, 577, 578, 598, 608] [3, 51, 84, 89, 118, 222, 225, 243, 249, 319, 324, 329, 347, 364, 376, 381, 396, 422, 438, 468, 489, 520, 522, 533, 546, 551, 573, 574, 578, 579, 599, 609] [4, 52, 85, 90, 119, 223, 226, 244, 250, 320, 325, 330, 348, 365, 377, 382, 397, 423, 439, 469, 490, 521, 523, 534, 547, 552, 574, 575, 579, 580, 600, 610] [5, 53, 86, 91, 120, 224, 227, 245, 251, 321, 326, 331, 349, 366, 378, 383, 398, 424, 440, 470, 491, 522, 524, 535, 548, 553, 575, 576, 580, 581, 601, 611] [6, 54, 87, 92, 121, 225, 228, 246, 252, 322, 327, 332, 350, 367, 379, 384, 399, 425, 441, 471, 492, 523, 525, 536, 549, 554, 576, 577, 581, 582, 602, 612] [7, 55, 88, 93, 122, 226, 229, 247, 253, 323, 328, 333, 351, 368, 380, 385, 400, 426, 442, 472, 493, 524, 526, 537, 550, 555, 577, 578, 582, 583, 603, 613] [8, 56, 89, 94, 123, 227, 230, 248, 254, 324, 329, 334, 352, 369, 381, 386, 401, 427, 443, 473, 494, 525, 527, 538, 551, 556, 578, 579, 583, 584, 604, 614] [9, 57, 90, 95, 124, 228, 231, 249, 255, 325, 330, 335, 353, 370, 382, 387, 402, 428, 444, 474, 495, 526, 528, 539, 552, 557, 579, 580, 584, 585, 605, 615] [10, 58, 91, 96, 125, 229, 232, 250, 256, 326, 331, 336, 354, 371, 383, 388, 403, 429, 445, 475, 496, 527, 529, 540, 553, 558, 580, 581, 585, 586, 606, 616] [11, 59, 92, 97, 126, 230, 233, 251, 257, 327, 332, 337, 355, 372, 384, 389, 404, 430, 446, 476, 497, 528, 530, 541, 554, 559, 581, 582, 586, 587, 607, 617] [12, 60, 93, 98, 127, 231, 234, 252, 258, 328, 333, 338, 356, 373, 385, 390, 405, 431, 447, 477, 498, 529, 531, 542, 555, 560, 582, 583, 587, 588, 608, 618] [13, 61, 94, 99, 128, 232, 235, 253, 259, 329, 334, 339, 357, 374, 386, 391, 406, 432, 448, 478, 499, 530, 532, 543, 556, 561, 583, 584, 588, 589, 609, 619] [14, 62, 95, 100, 129, 233, 236, 254, 260, 330, 335, 340, 358, 375, 387, 392, 407, 433, 449, 479, 500, 531, 533, 544, 557, 562, 584, 585, 589, 590, 610, 620] [15, 63, 96, 101, 130, 234, 237, 255, 261, 331, 336, 341, 359, 376, 388, 393, 408, 434, 450, 480, 501, 532, 534, 545, 558, 563, 585, 586, 590, 591, 611, 621] [16, 64, 97, 102, 131, 235, 238, 256, 262, 332, 337, 342, 360, 377, 389, 394, 409, 435, 451, 481, 502, 533, 535, 546, 559, 564, 586, 587, 591, 592, 612, 622] [17, 65, 98, 103, 132, 236, 239, 257, 263, 333, 338, 343, 361, 378, 390, 395, 410, 436, 452, 482, 503, 534, 536, 547, 560, 565, 587, 588, 592, 593, 613, 623] [18, 66, 99, 104, 133, 237, 240, 258, 264, 334, 339, 344, 362, 379, 391, 396, 411, 437, 453, 483, 504, 535, 537, 548, 561, 566, 588, 589, 593, 594, 614, 624] [19, 67, 100, 105, 134, 238, 241, 259, 265, 335, 340, 345, 363, 380, 392, 397, 412, 438, 454, 484, 505, 536, 538, 549, 562, 567, 589, 590, 594, 595, 615, 625] [20, 68, 101, 106, 135, 239, 242, 260, 266, 336, 341, 346, 364, 381, 393, 398, 413, 439, 455, 485, 506, 537, 539, 550, 563, 568, 590, 591, 595, 596, 616, 626] [21, 69, 102, 107, 136, 240, 243, 261, 267, 337, 342, 347, 365, 382, 394, 399, 414, 440, 456, 486, 507, 538, 540, 551, 564, 569, 591, 592, 596, 597, 617, 627] [22, 70, 103, 108, 137, 241, 244, 262, 268, 338, 343, 348, 366, 383, 395, 400, 415, 441, 457, 487, 508, 539, 541, 552, 565, 570, 592, 593, 597, 598, 618, 628] [23, 71, 104, 109, 138, 242, 245, 263, 269, 339, 344, 349, 367, 384, 396, 401, 416, 442, 458, 488, 509, 540, 542, 553, 566, 571, 593, 594, 598, 599, 619, 629] [24, 72, 105, 110, 139, 243, 246, 264, 270, 315, 340, 345, 350, 368, 385, 397, 402, 417, 443, 459, 489, 510, 541, 543, 554, 567, 572, 594, 595, 599, 600, 620] [25, 73, 106, 111, 140, 244, 247, 265, 271, 316, 341, 346, 351, 369, 386, 398, 403, 418, 444, 460, 490, 511, 542, 544, 555, 568, 573, 595, 596, 600, 601, 621] [26, 74, 107, 112, 141, 245, 248, 266, 272, 317, 342, 347, 352, 370, 387, 399, 404, 419, 445, 461, 491, 512, 543, 545, 556, 569, 574, 596, 597, 601, 602, 622] [27, 75, 108, 113, 142, 246, 249, 267, 273, 318, 343, 348, 353, 371, 388, 400, 405, 420, 446, 462, 492, 513, 544, 546, 557, 570, 575, 597, 598, 602, 603, 623] [28, 76, 109, 114, 143, 247, 250, 268, 274, 319, 344, 349, 354, 372, 389, 401, 406, 421, 447, 463, 493, 514, 545, 547, 558, 571, 576, 598, 599, 603, 604, 624] [29, 77, 110, 115, 144, 248, 251, 269, 275, 320, 345, 350, 355, 373, 390, 402, 407, 422, 448, 464, 494, 515, 546, 548, 559, 572, 577, 599, 600, 604, 605, 625] [30, 78, 111, 116, 145, 249, 252, 270, 276, 321, 346, 351, 356, 374, 391, 403, 408, 423, 449, 465, 495, 516, 547, 549, 560, 573, 578, 600, 601, 605, 606, 626] [31, 79, 112, 117, 146, 250, 253, 271, 277, 322, 347, 352, 357, 375, 392, 404, 409, 424, 450, 466, 496, 517, 548, 550, 561, 574, 579, 601, 602, 606, 607, 627] [32, 80, 113, 118, 147, 251, 254, 272, 278, 323, 348, 353, 358, 376, 393, 405, 410, 425, 451, 467, 497, 518, 549, 551, 562, 575, 580, 602, 603, 607, 608, 628] [33, 81, 114, 119, 148, 252, 255, 273, 279, 324, 349, 354, 359, 377, 394, 406, 411, 426, 452, 468, 498, 519, 550, 552, 563, 576, 581, 603, 604, 608, 609, 629] [34, 82, 115, 120, 149, 253, 256, 274, 280, 315, 325, 350, 355, 360, 378, 395, 407, 412, 427, 453, 469, 499, 520, 551, 553, 564, 577, 582, 604, 605, 609, 610] [35, 83, 116, 121, 150, 254, 257, 275, 281, 316, 326, 351, 356, 361, 379, 396, 408, 413, 428, 454, 470, 500, 521, 552, 554, 565, 578, 583, 605, 606, 610, 611] [36, 84, 117, 122, 151, 255, 258, 276, 282, 317, 327, 352, 357, 362, 380, 397, 409, 414, 429, 455, 471, 501, 522, 553, 555, 566, 579, 584, 606, 607, 611, 612] [37, 85, 118, 123, 152, 256, 259, 277, 283, 318, 328, 353, 358, 363, 381, 398, 410, 415, 430, 456, 472, 502, 523, 554, 556, 567, 580, 585, 607, 608, 612, 613] [38, 86, 119, 124, 153, 257, 260, 278, 284, 319, 329, 354, 359, 364, 382, 399, 411, 416, 431, 457, 473, 503, 524, 555, 557, 568, 581, 586, 608, 609, 613, 614] [39, 87, 120, 125, 154, 258, 261, 279, 285, 320, 330, 355, 360, 365, 383, 400, 412, 417, 432, 458, 474, 504, 525, 556, 558, 569, 582, 587, 609, 610, 614, 615] [40, 88, 121, 126, 155, 259, 262, 280, 286, 321, 331, 356, 361, 366, 384, 401, 413, 418, 433, 459, 475, 505, 526, 557, 559, 570, 583, 588, 610, 611, 615, 616] [41, 89, 122, 127, 156, 260, 263, 281, 287, 322, 332, 357, 362, 367, 385, 402, 414, 419, 434, 460, 476, 506, 527, 558, 560, 571, 584, 589, 611, 612, 616, 617] [42, 90, 123, 128, 157, 261, 264, 282, 288, 323, 333, 358, 363, 368, 386, 403, 415, 420, 435, 461, 477, 507, 528, 559, 561, 572, 585, 590, 612, 613, 617, 618] [43, 91, 124, 129, 158, 262, 265, 283, 289, 324, 334, 359, 364, 369, 387, 404, 416, 421, 436, 462, 478, 508, 529, 560, 562, 573, 586, 591, 613, 614, 618, 619] [44, 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602, 619] [25, 30, 59, 163, 166, 184, 190, 259, 307, 317, 322, 337, 363, 379, 409, 430, 461, 463, 474, 487, 492, 514, 515, 519, 520, 540, 550, 575, 580, 585, 603, 620] [26, 31, 60, 164, 167, 185, 191, 260, 308, 318, 323, 338, 364, 380, 410, 431, 462, 464, 475, 488, 493, 515, 516, 520, 521, 541, 551, 576, 581, 586, 604, 621] [27, 32, 61, 165, 168, 186, 192, 261, 309, 319, 324, 339, 365, 381, 411, 432, 463, 465, 476, 489, 494, 516, 517, 521, 522, 542, 552, 577, 582, 587, 605, 622] [28, 33, 62, 166, 169, 187, 193, 262, 310, 320, 325, 340, 366, 382, 412, 433, 464, 466, 477, 490, 495, 517, 518, 522, 523, 543, 553, 578, 583, 588, 606, 623] [29, 34, 63, 167, 170, 188, 194, 263, 311, 321, 326, 341, 367, 383, 413, 434, 465, 467, 478, 491, 496, 518, 519, 523, 524, 544, 554, 579, 584, 589, 607, 624]
Code ID 630-36-90 · download JSON · raw on GitHub