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[[630,44,60]] d ≤
n
630
k
44
d
60
kd²/n
251.429
w
24
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 60, d_Z ≤ 60 · w_X = 24, w_Z = 24 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 60 · witness weight 60 (claimed upper_bound)
witness operator (support, 60 qubits)
[3, 6, 9, 18, 24, 27, 30, 39, 45, 48, 51, 60, 66, 69, 72, 81, 87, 90, 93, 102, 108, 111, 114, 123, 129, 132, 135, 144, 150, 153, 156, 165, 171, 174, 177, 186, 192, 195, 198, 207, 213, 216, 219, 228, 234, 237, 240, 249, 255, 258, 261, 270, 276, 279, 282, 291, 297, 300, 303, 312]
d_Z 60 · witness weight 60 (claimed upper_bound)
witness operator (support, 60 qubits)
[318, 327, 330, 333, 339, 348, 351, 354, 360, 369, 372, 375, 381, 390, 393, 396, 402, 411, 414, 417, 423, 432, 435, 438, 444, 453, 456, 459, 465, 474, 477, 480, 486, 495, 498, 501, 507, 516, 519, 522, 528, 537, 540, 543, 549, 558, 561, 564, 570, 579, 582, 585, 591, 600, 603, 606, 612, 621, 624, 627]
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 24 · H_Z 24
qubit degrees H_X 9–15 (mean 12.0) · H_Z 9–15 (mean 12.0)
trapping sets H_X (1,9)×315 (2,14)×1575 (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 (1,15): 315 (2,14): 1575 (2,16): 8190 (2,18): 630 (2,20): 6300 (2,22): 28665 (2,24): 630 (2,26): 6300 (2,28): 16065
trapping sets H_Z (1,9)×315 (2,14)×1575 (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 (1,15): 315 (2,14): 1575 (2,16): 8190 (2,18): 630 (2,20): 6300 (2,22): 28665 (2,24): 630 (2,26): 6300 (2,28): 16065

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) = x15 + x35 + x40 + x62 + x86 + x98 + x126 + x142 + x185 + x195 + x205 + x207 + x239 + x286 + x295, b(x) = x7 + x12 + x45 + x60 + x99 + x167 + x223 + x251 + x310; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-09-26
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

[[630,44,60]] weight-24 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 24 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^15 + x^35 + x^40 + x^62 + x^86 + x^98 + x^126 + x^142 + x^185 + x^195 + x^205 + x^207 + x^239 + x^286 + x^295 b(x) = x^7 + x^12 + x^45 + x^60 + x^99 + x^167 + x^223 + x^251 + x^310 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 = 251.429 at check weight 24. 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 24) · Z-checks 315 (max weight 24)
H_X (315 checks, sparse supports)
[15, 35, 40, 62, 86, 98, 126, 142, 185, 195, 205, 207, 239, 286, 295, 322, 327, 360, 375, 414, 482, 538, 566, 625] [16, 36, 41, 63, 87, 99, 127, 143, 186, 196, 206, 208, 240, 287, 296, 323, 328, 361, 376, 415, 483, 539, 567, 626] [17, 37, 42, 64, 88, 100, 128, 144, 187, 197, 207, 209, 241, 288, 297, 324, 329, 362, 377, 416, 484, 540, 568, 627] [18, 38, 43, 65, 89, 101, 129, 145, 188, 198, 208, 210, 242, 289, 298, 325, 330, 363, 378, 417, 485, 541, 569, 628] [19, 39, 44, 66, 90, 102, 130, 146, 189, 199, 209, 211, 243, 290, 299, 326, 331, 364, 379, 418, 486, 542, 570, 629] [20, 40, 45, 67, 91, 103, 131, 147, 190, 200, 210, 212, 244, 291, 300, 315, 327, 332, 365, 380, 419, 487, 543, 571] [21, 41, 46, 68, 92, 104, 132, 148, 191, 201, 211, 213, 245, 292, 301, 316, 328, 333, 366, 381, 420, 488, 544, 572] [22, 42, 47, 69, 93, 105, 133, 149, 192, 202, 212, 214, 246, 293, 302, 317, 329, 334, 367, 382, 421, 489, 545, 573] [23, 43, 48, 70, 94, 106, 134, 150, 193, 203, 213, 215, 247, 294, 303, 318, 330, 335, 368, 383, 422, 490, 546, 574] [24, 44, 49, 71, 95, 107, 135, 151, 194, 204, 214, 216, 248, 295, 304, 319, 331, 336, 369, 384, 423, 491, 547, 575] [25, 45, 50, 72, 96, 108, 136, 152, 195, 205, 215, 217, 249, 296, 305, 320, 332, 337, 370, 385, 424, 492, 548, 576] [26, 46, 51, 73, 97, 109, 137, 153, 196, 206, 216, 218, 250, 297, 306, 321, 333, 338, 371, 386, 425, 493, 549, 577] [27, 47, 52, 74, 98, 110, 138, 154, 197, 207, 217, 219, 251, 298, 307, 322, 334, 339, 372, 387, 426, 494, 550, 578] [28, 48, 53, 75, 99, 111, 139, 155, 198, 208, 218, 220, 252, 299, 308, 323, 335, 340, 373, 388, 427, 495, 551, 579] [29, 49, 54, 76, 100, 112, 140, 156, 199, 209, 219, 221, 253, 300, 309, 324, 336, 341, 374, 389, 428, 496, 552, 580] [30, 50, 55, 77, 101, 113, 141, 157, 200, 210, 220, 222, 254, 301, 310, 325, 337, 342, 375, 390, 429, 497, 553, 581] [31, 51, 56, 78, 102, 114, 142, 158, 201, 211, 221, 223, 255, 302, 311, 326, 338, 343, 376, 391, 430, 498, 554, 582] [32, 52, 57, 79, 103, 115, 143, 159, 202, 212, 222, 224, 256, 303, 312, 327, 339, 344, 377, 392, 431, 499, 555, 583] [33, 53, 58, 80, 104, 116, 144, 160, 203, 213, 223, 225, 257, 304, 313, 328, 340, 345, 378, 393, 432, 500, 556, 584] [34, 54, 59, 81, 105, 117, 145, 161, 204, 214, 224, 226, 258, 305, 314, 329, 341, 346, 379, 394, 433, 501, 557, 585] [0, 35, 55, 60, 82, 106, 118, 146, 162, 205, 215, 225, 227, 259, 306, 330, 342, 347, 380, 395, 434, 502, 558, 586] [1, 36, 56, 61, 83, 107, 119, 147, 163, 206, 216, 226, 228, 260, 307, 331, 343, 348, 381, 396, 435, 503, 559, 587] [2, 37, 57, 62, 84, 108, 120, 148, 164, 207, 217, 227, 229, 261, 308, 332, 344, 349, 382, 397, 436, 504, 560, 588] [3, 38, 58, 63, 85, 109, 121, 149, 165, 208, 218, 228, 230, 262, 309, 333, 345, 350, 383, 398, 437, 505, 561, 589] [4, 39, 59, 64, 86, 110, 122, 150, 166, 209, 219, 229, 231, 263, 310, 334, 346, 351, 384, 399, 438, 506, 562, 590] [5, 40, 60, 65, 87, 111, 123, 151, 167, 210, 220, 230, 232, 264, 311, 335, 347, 352, 385, 400, 439, 507, 563, 591] [6, 41, 61, 66, 88, 112, 124, 152, 168, 211, 221, 231, 233, 265, 312, 336, 348, 353, 386, 401, 440, 508, 564, 592] [7, 42, 62, 67, 89, 113, 125, 153, 169, 212, 222, 232, 234, 266, 313, 337, 349, 354, 387, 402, 441, 509, 565, 593] [8, 43, 63, 68, 90, 114, 126, 154, 170, 213, 223, 233, 235, 267, 314, 338, 350, 355, 388, 403, 442, 510, 566, 594] [0, 9, 44, 64, 69, 91, 115, 127, 155, 171, 214, 224, 234, 236, 268, 339, 351, 356, 389, 404, 443, 511, 567, 595] [1, 10, 45, 65, 70, 92, 116, 128, 156, 172, 215, 225, 235, 237, 269, 340, 352, 357, 390, 405, 444, 512, 568, 596] [2, 11, 46, 66, 71, 93, 117, 129, 157, 173, 216, 226, 236, 238, 270, 341, 353, 358, 391, 406, 445, 513, 569, 597] [3, 12, 47, 67, 72, 94, 118, 130, 158, 174, 217, 227, 237, 239, 271, 342, 354, 359, 392, 407, 446, 514, 570, 598] [4, 13, 48, 68, 73, 95, 119, 131, 159, 175, 218, 228, 238, 240, 272, 343, 355, 360, 393, 408, 447, 515, 571, 599] [5, 14, 49, 69, 74, 96, 120, 132, 160, 176, 219, 229, 239, 241, 273, 344, 356, 361, 394, 409, 448, 516, 572, 600] [6, 15, 50, 70, 75, 97, 121, 133, 161, 177, 220, 230, 240, 242, 274, 345, 357, 362, 395, 410, 449, 517, 573, 601] [7, 16, 51, 71, 76, 98, 122, 134, 162, 178, 221, 231, 241, 243, 275, 346, 358, 363, 396, 411, 450, 518, 574, 602] [8, 17, 52, 72, 77, 99, 123, 135, 163, 179, 222, 232, 242, 244, 276, 347, 359, 364, 397, 412, 451, 519, 575, 603] [9, 18, 53, 73, 78, 100, 124, 136, 164, 180, 223, 233, 243, 245, 277, 348, 360, 365, 398, 413, 452, 520, 576, 604] [10, 19, 54, 74, 79, 101, 125, 137, 165, 181, 224, 234, 244, 246, 278, 349, 361, 366, 399, 414, 453, 521, 577, 605] [11, 20, 55, 75, 80, 102, 126, 138, 166, 182, 225, 235, 245, 247, 279, 350, 362, 367, 400, 415, 454, 522, 578, 606] [12, 21, 56, 76, 81, 103, 127, 139, 167, 183, 226, 236, 246, 248, 280, 351, 363, 368, 401, 416, 455, 523, 579, 607] [13, 22, 57, 77, 82, 104, 128, 140, 168, 184, 227, 237, 247, 249, 281, 352, 364, 369, 402, 417, 456, 524, 580, 608] [14, 23, 58, 78, 83, 105, 129, 141, 169, 185, 228, 238, 248, 250, 282, 353, 365, 370, 403, 418, 457, 525, 581, 609] [15, 24, 59, 79, 84, 106, 130, 142, 170, 186, 229, 239, 249, 251, 283, 354, 366, 371, 404, 419, 458, 526, 582, 610] [16, 25, 60, 80, 85, 107, 131, 143, 171, 187, 230, 240, 250, 252, 284, 355, 367, 372, 405, 420, 459, 527, 583, 611] [17, 26, 61, 81, 86, 108, 132, 144, 172, 188, 231, 241, 251, 253, 285, 356, 368, 373, 406, 421, 460, 528, 584, 612] [18, 27, 62, 82, 87, 109, 133, 145, 173, 189, 232, 242, 252, 254, 286, 357, 369, 374, 407, 422, 461, 529, 585, 613] [19, 28, 63, 83, 88, 110, 134, 146, 174, 190, 233, 243, 253, 255, 287, 358, 370, 375, 408, 423, 462, 530, 586, 614] [20, 29, 64, 84, 89, 111, 135, 147, 175, 191, 234, 244, 254, 256, 288, 359, 371, 376, 409, 424, 463, 531, 587, 615] [21, 30, 65, 85, 90, 112, 136, 148, 176, 192, 235, 245, 255, 257, 289, 360, 372, 377, 410, 425, 464, 532, 588, 616] [22, 31, 66, 86, 91, 113, 137, 149, 177, 193, 236, 246, 256, 258, 290, 361, 373, 378, 411, 426, 465, 533, 589, 617] [23, 32, 67, 87, 92, 114, 138, 150, 178, 194, 237, 247, 257, 259, 291, 362, 374, 379, 412, 427, 466, 534, 590, 618] [24, 33, 68, 88, 93, 115, 139, 151, 179, 195, 238, 248, 258, 260, 292, 363, 375, 380, 413, 428, 467, 535, 591, 619] [25, 34, 69, 89, 94, 116, 140, 152, 180, 196, 239, 249, 259, 261, 293, 364, 376, 381, 414, 429, 468, 536, 592, 620] [26, 35, 70, 90, 95, 117, 141, 153, 181, 197, 240, 250, 260, 262, 294, 365, 377, 382, 415, 430, 469, 537, 593, 621] [27, 36, 71, 91, 96, 118, 142, 154, 182, 198, 241, 251, 261, 263, 295, 366, 378, 383, 416, 431, 470, 538, 594, 622] [28, 37, 72, 92, 97, 119, 143, 155, 183, 199, 242, 252, 262, 264, 296, 367, 379, 384, 417, 432, 471, 539, 595, 623] [29, 38, 73, 93, 98, 120, 144, 156, 184, 200, 243, 253, 263, 265, 297, 368, 380, 385, 418, 433, 472, 540, 596, 624] [30, 39, 74, 94, 99, 121, 145, 157, 185, 201, 244, 254, 264, 266, 298, 369, 381, 386, 419, 434, 473, 541, 597, 625] [31, 40, 75, 95, 100, 122, 146, 158, 186, 202, 245, 255, 265, 267, 299, 370, 382, 387, 420, 435, 474, 542, 598, 626] [32, 41, 76, 96, 101, 123, 147, 159, 187, 203, 246, 256, 266, 268, 300, 371, 383, 388, 421, 436, 475, 543, 599, 627] [33, 42, 77, 97, 102, 124, 148, 160, 188, 204, 247, 257, 267, 269, 301, 372, 384, 389, 422, 437, 476, 544, 600, 628] [34, 43, 78, 98, 103, 125, 149, 161, 189, 205, 248, 258, 268, 270, 302, 373, 385, 390, 423, 438, 477, 545, 601, 629] [35, 44, 79, 99, 104, 126, 150, 162, 190, 206, 249, 259, 269, 271, 303, 315, 374, 386, 391, 424, 439, 478, 546, 602] [36, 45, 80, 100, 105, 127, 151, 163, 191, 207, 250, 260, 270, 272, 304, 316, 375, 387, 392, 425, 440, 479, 547, 603] [37, 46, 81, 101, 106, 128, 152, 164, 192, 208, 251, 261, 271, 273, 305, 317, 376, 388, 393, 426, 441, 480, 548, 604] [38, 47, 82, 102, 107, 129, 153, 165, 193, 209, 252, 262, 272, 274, 306, 318, 377, 389, 394, 427, 442, 481, 549, 605] [39, 48, 83, 103, 108, 130, 154, 166, 194, 210, 253, 263, 273, 275, 307, 319, 378, 390, 395, 428, 443, 482, 550, 606] [40, 49, 84, 104, 109, 131, 155, 167, 195, 211, 254, 264, 274, 276, 308, 320, 379, 391, 396, 429, 444, 483, 551, 607] [41, 50, 85, 105, 110, 132, 156, 168, 196, 212, 255, 265, 275, 277, 309, 321, 380, 392, 397, 430, 445, 484, 552, 608] [42, 51, 86, 106, 111, 133, 157, 169, 197, 213, 256, 266, 276, 278, 310, 322, 381, 393, 398, 431, 446, 485, 553, 609] [43, 52, 87, 107, 112, 134, 158, 170, 198, 214, 257, 267, 277, 279, 311, 323, 382, 394, 399, 432, 447, 486, 554, 610] [44, 53, 88, 108, 113, 135, 159, 171, 199, 215, 258, 268, 278, 280, 312, 324, 383, 395, 400, 433, 448, 487, 555, 611] [45, 54, 89, 109, 114, 136, 160, 172, 200, 216, 259, 269, 279, 281, 313, 325, 384, 396, 401, 434, 449, 488, 556, 612] [46, 55, 90, 110, 115, 137, 161, 173, 201, 217, 260, 270, 280, 282, 314, 326, 385, 397, 402, 435, 450, 489, 557, 613] [0, 47, 56, 91, 111, 116, 138, 162, 174, 202, 218, 261, 271, 281, 283, 327, 386, 398, 403, 436, 451, 490, 558, 614] [1, 48, 57, 92, 112, 117, 139, 163, 175, 203, 219, 262, 272, 282, 284, 328, 387, 399, 404, 437, 452, 491, 559, 615] [2, 49, 58, 93, 113, 118, 140, 164, 176, 204, 220, 263, 273, 283, 285, 329, 388, 400, 405, 438, 453, 492, 560, 616] [3, 50, 59, 94, 114, 119, 141, 165, 177, 205, 221, 264, 274, 284, 286, 330, 389, 401, 406, 439, 454, 493, 561, 617] [4, 51, 60, 95, 115, 120, 142, 166, 178, 206, 222, 265, 275, 285, 287, 331, 390, 402, 407, 440, 455, 494, 562, 618] [5, 52, 61, 96, 116, 121, 143, 167, 179, 207, 223, 266, 276, 286, 288, 332, 391, 403, 408, 441, 456, 495, 563, 619] [6, 53, 62, 97, 117, 122, 144, 168, 180, 208, 224, 267, 277, 287, 289, 333, 392, 404, 409, 442, 457, 496, 564, 620] [7, 54, 63, 98, 118, 123, 145, 169, 181, 209, 225, 268, 278, 288, 290, 334, 393, 405, 410, 443, 458, 497, 565, 621] [8, 55, 64, 99, 119, 124, 146, 170, 182, 210, 226, 269, 279, 289, 291, 335, 394, 406, 411, 444, 459, 498, 566, 622] [9, 56, 65, 100, 120, 125, 147, 171, 183, 211, 227, 270, 280, 290, 292, 336, 395, 407, 412, 445, 460, 499, 567, 623] [10, 57, 66, 101, 121, 126, 148, 172, 184, 212, 228, 271, 281, 291, 293, 337, 396, 408, 413, 446, 461, 500, 568, 624] [11, 58, 67, 102, 122, 127, 149, 173, 185, 213, 229, 272, 282, 292, 294, 338, 397, 409, 414, 447, 462, 501, 569, 625] [12, 59, 68, 103, 123, 128, 150, 174, 186, 214, 230, 273, 283, 293, 295, 339, 398, 410, 415, 448, 463, 502, 570, 626] [13, 60, 69, 104, 124, 129, 151, 175, 187, 215, 231, 274, 284, 294, 296, 340, 399, 411, 416, 449, 464, 503, 571, 627] [14, 61, 70, 105, 125, 130, 152, 176, 188, 216, 232, 275, 285, 295, 297, 341, 400, 412, 417, 450, 465, 504, 572, 628] [15, 62, 71, 106, 126, 131, 153, 177, 189, 217, 233, 276, 286, 296, 298, 342, 401, 413, 418, 451, 466, 505, 573, 629] [16, 63, 72, 107, 127, 132, 154, 178, 190, 218, 234, 277, 287, 297, 299, 315, 343, 402, 414, 419, 452, 467, 506, 574] [17, 64, 73, 108, 128, 133, 155, 179, 191, 219, 235, 278, 288, 298, 300, 316, 344, 403, 415, 420, 453, 468, 507, 575] [18, 65, 74, 109, 129, 134, 156, 180, 192, 220, 236, 279, 289, 299, 301, 317, 345, 404, 416, 421, 454, 469, 508, 576] [19, 66, 75, 110, 130, 135, 157, 181, 193, 221, 237, 280, 290, 300, 302, 318, 346, 405, 417, 422, 455, 470, 509, 577] [20, 67, 76, 111, 131, 136, 158, 182, 194, 222, 238, 281, 291, 301, 303, 319, 347, 406, 418, 423, 456, 471, 510, 578] [21, 68, 77, 112, 132, 137, 159, 183, 195, 223, 239, 282, 292, 302, 304, 320, 348, 407, 419, 424, 457, 472, 511, 579] [22, 69, 78, 113, 133, 138, 160, 184, 196, 224, 240, 283, 293, 303, 305, 321, 349, 408, 420, 425, 458, 473, 512, 580] [23, 70, 79, 114, 134, 139, 161, 185, 197, 225, 241, 284, 294, 304, 306, 322, 350, 409, 421, 426, 459, 474, 513, 581] [24, 71, 80, 115, 135, 140, 162, 186, 198, 226, 242, 285, 295, 305, 307, 323, 351, 410, 422, 427, 460, 475, 514, 582] [25, 72, 81, 116, 136, 141, 163, 187, 199, 227, 243, 286, 296, 306, 308, 324, 352, 411, 423, 428, 461, 476, 515, 583] [26, 73, 82, 117, 137, 142, 164, 188, 200, 228, 244, 287, 297, 307, 309, 325, 353, 412, 424, 429, 462, 477, 516, 584] [27, 74, 83, 118, 138, 143, 165, 189, 201, 229, 245, 288, 298, 308, 310, 326, 354, 413, 425, 430, 463, 478, 517, 585] [28, 75, 84, 119, 139, 144, 166, 190, 202, 230, 246, 289, 299, 309, 311, 327, 355, 414, 426, 431, 464, 479, 518, 586] [29, 76, 85, 120, 140, 145, 167, 191, 203, 231, 247, 290, 300, 310, 312, 328, 356, 415, 427, 432, 465, 480, 519, 587] [30, 77, 86, 121, 141, 146, 168, 192, 204, 232, 248, 291, 301, 311, 313, 329, 357, 416, 428, 433, 466, 481, 520, 588] [31, 78, 87, 122, 142, 147, 169, 193, 205, 233, 249, 292, 302, 312, 314, 330, 358, 417, 429, 434, 467, 482, 521, 589] [0, 32, 79, 88, 123, 143, 148, 170, 194, 206, 234, 250, 293, 303, 313, 331, 359, 418, 430, 435, 468, 483, 522, 590] [1, 33, 80, 89, 124, 144, 149, 171, 195, 207, 235, 251, 294, 304, 314, 332, 360, 419, 431, 436, 469, 484, 523, 591] [0, 2, 34, 81, 90, 125, 145, 150, 172, 196, 208, 236, 252, 295, 305, 333, 361, 420, 432, 437, 470, 485, 524, 592] [1, 3, 35, 82, 91, 126, 146, 151, 173, 197, 209, 237, 253, 296, 306, 334, 362, 421, 433, 438, 471, 486, 525, 593] [2, 4, 36, 83, 92, 127, 147, 152, 174, 198, 210, 238, 254, 297, 307, 335, 363, 422, 434, 439, 472, 487, 526, 594] [3, 5, 37, 84, 93, 128, 148, 153, 175, 199, 211, 239, 255, 298, 308, 336, 364, 423, 435, 440, 473, 488, 527, 595] [4, 6, 38, 85, 94, 129, 149, 154, 176, 200, 212, 240, 256, 299, 309, 337, 365, 424, 436, 441, 474, 489, 528, 596] [5, 7, 39, 86, 95, 130, 150, 155, 177, 201, 213, 241, 257, 300, 310, 338, 366, 425, 437, 442, 475, 490, 529, 597] [6, 8, 40, 87, 96, 131, 151, 156, 178, 202, 214, 242, 258, 301, 311, 339, 367, 426, 438, 443, 476, 491, 530, 598] [7, 9, 41, 88, 97, 132, 152, 157, 179, 203, 215, 243, 259, 302, 312, 340, 368, 427, 439, 444, 477, 492, 531, 599] [8, 10, 42, 89, 98, 133, 153, 158, 180, 204, 216, 244, 260, 303, 313, 341, 369, 428, 440, 445, 478, 493, 532, 600] [9, 11, 43, 90, 99, 134, 154, 159, 181, 205, 217, 245, 261, 304, 314, 342, 370, 429, 441, 446, 479, 494, 533, 601] [0, 10, 12, 44, 91, 100, 135, 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165, 212, 221, 256, 276, 281, 303, 340, 408, 464, 492, 551, 563, 568, 601, 616] [13, 25, 53, 69, 112, 122, 132, 134, 166, 213, 222, 257, 277, 282, 304, 341, 409, 465, 493, 552, 564, 569, 602, 617] [14, 26, 54, 70, 113, 123, 133, 135, 167, 214, 223, 258, 278, 283, 305, 342, 410, 466, 494, 553, 565, 570, 603, 618] [15, 27, 55, 71, 114, 124, 134, 136, 168, 215, 224, 259, 279, 284, 306, 343, 411, 467, 495, 554, 566, 571, 604, 619] [16, 28, 56, 72, 115, 125, 135, 137, 169, 216, 225, 260, 280, 285, 307, 344, 412, 468, 496, 555, 567, 572, 605, 620] [17, 29, 57, 73, 116, 126, 136, 138, 170, 217, 226, 261, 281, 286, 308, 345, 413, 469, 497, 556, 568, 573, 606, 621] [18, 30, 58, 74, 117, 127, 137, 139, 171, 218, 227, 262, 282, 287, 309, 346, 414, 470, 498, 557, 569, 574, 607, 622] [19, 31, 59, 75, 118, 128, 138, 140, 172, 219, 228, 263, 283, 288, 310, 347, 415, 471, 499, 558, 570, 575, 608, 623] [20, 32, 60, 76, 119, 129, 139, 141, 173, 220, 229, 264, 284, 289, 311, 348, 416, 472, 500, 559, 571, 576, 609, 624] [21, 33, 61, 77, 120, 130, 140, 142, 174, 221, 230, 265, 285, 290, 312, 349, 417, 473, 501, 560, 572, 577, 610, 625] [22, 34, 62, 78, 121, 131, 141, 143, 175, 222, 231, 266, 286, 291, 313, 350, 418, 474, 502, 561, 573, 578, 611, 626] [23, 35, 63, 79, 122, 132, 142, 144, 176, 223, 232, 267, 287, 292, 314, 351, 419, 475, 503, 562, 574, 579, 612, 627] [0, 24, 36, 64, 80, 123, 133, 143, 145, 177, 224, 233, 268, 288, 293, 352, 420, 476, 504, 563, 575, 580, 613, 628] [1, 25, 37, 65, 81, 124, 134, 144, 146, 178, 225, 234, 269, 289, 294, 353, 421, 477, 505, 564, 576, 581, 614, 629] [2, 26, 38, 66, 82, 125, 135, 145, 147, 179, 226, 235, 270, 290, 295, 315, 354, 422, 478, 506, 565, 577, 582, 615] [3, 27, 39, 67, 83, 126, 136, 146, 148, 180, 227, 236, 271, 291, 296, 316, 355, 423, 479, 507, 566, 578, 583, 616] [4, 28, 40, 68, 84, 127, 137, 147, 149, 181, 228, 237, 272, 292, 297, 317, 356, 424, 480, 508, 567, 579, 584, 617] [5, 29, 41, 69, 85, 128, 138, 148, 150, 182, 229, 238, 273, 293, 298, 318, 357, 425, 481, 509, 568, 580, 585, 618] [6, 30, 42, 70, 86, 129, 139, 149, 151, 183, 230, 239, 274, 294, 299, 319, 358, 426, 482, 510, 569, 581, 586, 619] [7, 31, 43, 71, 87, 130, 140, 150, 152, 184, 231, 240, 275, 295, 300, 320, 359, 427, 483, 511, 570, 582, 587, 620] [8, 32, 44, 72, 88, 131, 141, 151, 153, 185, 232, 241, 276, 296, 301, 321, 360, 428, 484, 512, 571, 583, 588, 621] [9, 33, 45, 73, 89, 132, 142, 152, 154, 186, 233, 242, 277, 297, 302, 322, 361, 429, 485, 513, 572, 584, 589, 622] [10, 34, 46, 74, 90, 133, 143, 153, 155, 187, 234, 243, 278, 298, 303, 323, 362, 430, 486, 514, 573, 585, 590, 623] [11, 35, 47, 75, 91, 134, 144, 154, 156, 188, 235, 244, 279, 299, 304, 324, 363, 431, 487, 515, 574, 586, 591, 624] [12, 36, 48, 76, 92, 135, 145, 155, 157, 189, 236, 245, 280, 300, 305, 325, 364, 432, 488, 516, 575, 587, 592, 625] [13, 37, 49, 77, 93, 136, 146, 156, 158, 190, 237, 246, 281, 301, 306, 326, 365, 433, 489, 517, 576, 588, 593, 626] [14, 38, 50, 78, 94, 137, 147, 157, 159, 191, 238, 247, 282, 302, 307, 327, 366, 434, 490, 518, 577, 589, 594, 627] [15, 39, 51, 79, 95, 138, 148, 158, 160, 192, 239, 248, 283, 303, 308, 328, 367, 435, 491, 519, 578, 590, 595, 628] [16, 40, 52, 80, 96, 139, 149, 159, 161, 193, 240, 249, 284, 304, 309, 329, 368, 436, 492, 520, 579, 591, 596, 629] [17, 41, 53, 81, 97, 140, 150, 160, 162, 194, 241, 250, 285, 305, 310, 315, 330, 369, 437, 493, 521, 580, 592, 597] [18, 42, 54, 82, 98, 141, 151, 161, 163, 195, 242, 251, 286, 306, 311, 316, 331, 370, 438, 494, 522, 581, 593, 598] [19, 43, 55, 83, 99, 142, 152, 162, 164, 196, 243, 252, 287, 307, 312, 317, 332, 371, 439, 495, 523, 582, 594, 599] [20, 44, 56, 84, 100, 143, 153, 163, 165, 197, 244, 253, 288, 308, 313, 318, 333, 372, 440, 496, 524, 583, 595, 600] [21, 45, 57, 85, 101, 144, 154, 164, 166, 198, 245, 254, 289, 309, 314, 319, 334, 373, 441, 497, 525, 584, 596, 601] [0, 22, 46, 58, 86, 102, 145, 155, 165, 167, 199, 246, 255, 290, 310, 320, 335, 374, 442, 498, 526, 585, 597, 602] [1, 23, 47, 59, 87, 103, 146, 156, 166, 168, 200, 247, 256, 291, 311, 321, 336, 375, 443, 499, 527, 586, 598, 603] [2, 24, 48, 60, 88, 104, 147, 157, 167, 169, 201, 248, 257, 292, 312, 322, 337, 376, 444, 500, 528, 587, 599, 604] [3, 25, 49, 61, 89, 105, 148, 158, 168, 170, 202, 249, 258, 293, 313, 323, 338, 377, 445, 501, 529, 588, 600, 605] [4, 26, 50, 62, 90, 106, 149, 159, 169, 171, 203, 250, 259, 294, 314, 324, 339, 378, 446, 502, 530, 589, 601, 606] [0, 5, 27, 51, 63, 91, 107, 150, 160, 170, 172, 204, 251, 260, 295, 325, 340, 379, 447, 503, 531, 590, 602, 607] [1, 6, 28, 52, 64, 92, 108, 151, 161, 171, 173, 205, 252, 261, 296, 326, 341, 380, 448, 504, 532, 591, 603, 608] [2, 7, 29, 53, 65, 93, 109, 152, 162, 172, 174, 206, 253, 262, 297, 327, 342, 381, 449, 505, 533, 592, 604, 609] [3, 8, 30, 54, 66, 94, 110, 153, 163, 173, 175, 207, 254, 263, 298, 328, 343, 382, 450, 506, 534, 593, 605, 610] [4, 9, 31, 55, 67, 95, 111, 154, 164, 174, 176, 208, 255, 264, 299, 329, 344, 383, 451, 507, 535, 594, 606, 611] [5, 10, 32, 56, 68, 96, 112, 155, 165, 175, 177, 209, 256, 265, 300, 330, 345, 384, 452, 508, 536, 595, 607, 612] [6, 11, 33, 57, 69, 97, 113, 156, 166, 176, 178, 210, 257, 266, 301, 331, 346, 385, 453, 509, 537, 596, 608, 613] [7, 12, 34, 58, 70, 98, 114, 157, 167, 177, 179, 211, 258, 267, 302, 332, 347, 386, 454, 510, 538, 597, 609, 614] [8, 13, 35, 59, 71, 99, 115, 158, 168, 178, 180, 212, 259, 268, 303, 333, 348, 387, 455, 511, 539, 598, 610, 615] [9, 14, 36, 60, 72, 100, 116, 159, 169, 179, 181, 213, 260, 269, 304, 334, 349, 388, 456, 512, 540, 599, 611, 616] [10, 15, 37, 61, 73, 101, 117, 160, 170, 180, 182, 214, 261, 270, 305, 335, 350, 389, 457, 513, 541, 600, 612, 617] [11, 16, 38, 62, 74, 102, 118, 161, 171, 181, 183, 215, 262, 271, 306, 336, 351, 390, 458, 514, 542, 601, 613, 618] [12, 17, 39, 63, 75, 103, 119, 162, 172, 182, 184, 216, 263, 272, 307, 337, 352, 391, 459, 515, 543, 602, 614, 619] [13, 18, 40, 64, 76, 104, 120, 163, 173, 183, 185, 217, 264, 273, 308, 338, 353, 392, 460, 516, 544, 603, 615, 620] [14, 19, 41, 65, 77, 105, 121, 164, 174, 184, 186, 218, 265, 274, 309, 339, 354, 393, 461, 517, 545, 604, 616, 621] [15, 20, 42, 66, 78, 106, 122, 165, 175, 185, 187, 219, 266, 275, 310, 340, 355, 394, 462, 518, 546, 605, 617, 622] [16, 21, 43, 67, 79, 107, 123, 166, 176, 186, 188, 220, 267, 276, 311, 341, 356, 395, 463, 519, 547, 606, 618, 623] [17, 22, 44, 68, 80, 108, 124, 167, 177, 187, 189, 221, 268, 277, 312, 342, 357, 396, 464, 520, 548, 607, 619, 624] [18, 23, 45, 69, 81, 109, 125, 168, 178, 188, 190, 222, 269, 278, 313, 343, 358, 397, 465, 521, 549, 608, 620, 625] [19, 24, 46, 70, 82, 110, 126, 169, 179, 189, 191, 223, 270, 279, 314, 344, 359, 398, 466, 522, 550, 609, 621, 626] [0, 20, 25, 47, 71, 83, 111, 127, 170, 180, 190, 192, 224, 271, 280, 345, 360, 399, 467, 523, 551, 610, 622, 627] [1, 21, 26, 48, 72, 84, 112, 128, 171, 181, 191, 193, 225, 272, 281, 346, 361, 400, 468, 524, 552, 611, 623, 628] [2, 22, 27, 49, 73, 85, 113, 129, 172, 182, 192, 194, 226, 273, 282, 347, 362, 401, 469, 525, 553, 612, 624, 629] [3, 23, 28, 50, 74, 86, 114, 130, 173, 183, 193, 195, 227, 274, 283, 315, 348, 363, 402, 470, 526, 554, 613, 625] [4, 24, 29, 51, 75, 87, 115, 131, 174, 184, 194, 196, 228, 275, 284, 316, 349, 364, 403, 471, 527, 555, 614, 626] [5, 25, 30, 52, 76, 88, 116, 132, 175, 185, 195, 197, 229, 276, 285, 317, 350, 365, 404, 472, 528, 556, 615, 627] [6, 26, 31, 53, 77, 89, 117, 133, 176, 186, 196, 198, 230, 277, 286, 318, 351, 366, 405, 473, 529, 557, 616, 628] [7, 27, 32, 54, 78, 90, 118, 134, 177, 187, 197, 199, 231, 278, 287, 319, 352, 367, 406, 474, 530, 558, 617, 629] [8, 28, 33, 55, 79, 91, 119, 135, 178, 188, 198, 200, 232, 279, 288, 315, 320, 353, 368, 407, 475, 531, 559, 618] [9, 29, 34, 56, 80, 92, 120, 136, 179, 189, 199, 201, 233, 280, 289, 316, 321, 354, 369, 408, 476, 532, 560, 619] [10, 30, 35, 57, 81, 93, 121, 137, 180, 190, 200, 202, 234, 281, 290, 317, 322, 355, 370, 409, 477, 533, 561, 620] [11, 31, 36, 58, 82, 94, 122, 138, 181, 191, 201, 203, 235, 282, 291, 318, 323, 356, 371, 410, 478, 534, 562, 621] [12, 32, 37, 59, 83, 95, 123, 139, 182, 192, 202, 204, 236, 283, 292, 319, 324, 357, 372, 411, 479, 535, 563, 622] [13, 33, 38, 60, 84, 96, 124, 140, 183, 193, 203, 205, 237, 284, 293, 320, 325, 358, 373, 412, 480, 536, 564, 623] [14, 34, 39, 61, 85, 97, 125, 141, 184, 194, 204, 206, 238, 285, 294, 321, 326, 359, 374, 413, 481, 537, 565, 624]
H_Z (315 checks, sparse supports)
[5, 64, 92, 148, 216, 255, 270, 303, 308, 335, 344, 391, 423, 425, 435, 445, 488, 504, 532, 544, 568, 590, 595, 615] [6, 65, 93, 149, 217, 256, 271, 304, 309, 336, 345, 392, 424, 426, 436, 446, 489, 505, 533, 545, 569, 591, 596, 616] [7, 66, 94, 150, 218, 257, 272, 305, 310, 337, 346, 393, 425, 427, 437, 447, 490, 506, 534, 546, 570, 592, 597, 617] [8, 67, 95, 151, 219, 258, 273, 306, 311, 338, 347, 394, 426, 428, 438, 448, 491, 507, 535, 547, 571, 593, 598, 618] [9, 68, 96, 152, 220, 259, 274, 307, 312, 339, 348, 395, 427, 429, 439, 449, 492, 508, 536, 548, 572, 594, 599, 619] [10, 69, 97, 153, 221, 260, 275, 308, 313, 340, 349, 396, 428, 430, 440, 450, 493, 509, 537, 549, 573, 595, 600, 620] [11, 70, 98, 154, 222, 261, 276, 309, 314, 341, 350, 397, 429, 431, 441, 451, 494, 510, 538, 550, 574, 596, 601, 621] [0, 12, 71, 99, 155, 223, 262, 277, 310, 342, 351, 398, 430, 432, 442, 452, 495, 511, 539, 551, 575, 597, 602, 622] [1, 13, 72, 100, 156, 224, 263, 278, 311, 343, 352, 399, 431, 433, 443, 453, 496, 512, 540, 552, 576, 598, 603, 623] [2, 14, 73, 101, 157, 225, 264, 279, 312, 344, 353, 400, 432, 434, 444, 454, 497, 513, 541, 553, 577, 599, 604, 624] [3, 15, 74, 102, 158, 226, 265, 280, 313, 345, 354, 401, 433, 435, 445, 455, 498, 514, 542, 554, 578, 600, 605, 625] [4, 16, 75, 103, 159, 227, 266, 281, 314, 346, 355, 402, 434, 436, 446, 456, 499, 515, 543, 555, 579, 601, 606, 626] [0, 5, 17, 76, 104, 160, 228, 267, 282, 347, 356, 403, 435, 437, 447, 457, 500, 516, 544, 556, 580, 602, 607, 627] [1, 6, 18, 77, 105, 161, 229, 268, 283, 348, 357, 404, 436, 438, 448, 458, 501, 517, 545, 557, 581, 603, 608, 628] [2, 7, 19, 78, 106, 162, 230, 269, 284, 349, 358, 405, 437, 439, 449, 459, 502, 518, 546, 558, 582, 604, 609, 629] [3, 8, 20, 79, 107, 163, 231, 270, 285, 315, 350, 359, 406, 438, 440, 450, 460, 503, 519, 547, 559, 583, 605, 610] [4, 9, 21, 80, 108, 164, 232, 271, 286, 316, 351, 360, 407, 439, 441, 451, 461, 504, 520, 548, 560, 584, 606, 611] [5, 10, 22, 81, 109, 165, 233, 272, 287, 317, 352, 361, 408, 440, 442, 452, 462, 505, 521, 549, 561, 585, 607, 612] [6, 11, 23, 82, 110, 166, 234, 273, 288, 318, 353, 362, 409, 441, 443, 453, 463, 506, 522, 550, 562, 586, 608, 613] [7, 12, 24, 83, 111, 167, 235, 274, 289, 319, 354, 363, 410, 442, 444, 454, 464, 507, 523, 551, 563, 587, 609, 614] [8, 13, 25, 84, 112, 168, 236, 275, 290, 320, 355, 364, 411, 443, 445, 455, 465, 508, 524, 552, 564, 588, 610, 615] [9, 14, 26, 85, 113, 169, 237, 276, 291, 321, 356, 365, 412, 444, 446, 456, 466, 509, 525, 553, 565, 589, 611, 616] [10, 15, 27, 86, 114, 170, 238, 277, 292, 322, 357, 366, 413, 445, 447, 457, 467, 510, 526, 554, 566, 590, 612, 617] [11, 16, 28, 87, 115, 171, 239, 278, 293, 323, 358, 367, 414, 446, 448, 458, 468, 511, 527, 555, 567, 591, 613, 618] [12, 17, 29, 88, 116, 172, 240, 279, 294, 324, 359, 368, 415, 447, 449, 459, 469, 512, 528, 556, 568, 592, 614, 619] [13, 18, 30, 89, 117, 173, 241, 280, 295, 325, 360, 369, 416, 448, 450, 460, 470, 513, 529, 557, 569, 593, 615, 620] [14, 19, 31, 90, 118, 174, 242, 281, 296, 326, 361, 370, 417, 449, 451, 461, 471, 514, 530, 558, 570, 594, 616, 621] [15, 20, 32, 91, 119, 175, 243, 282, 297, 327, 362, 371, 418, 450, 452, 462, 472, 515, 531, 559, 571, 595, 617, 622] [16, 21, 33, 92, 120, 176, 244, 283, 298, 328, 363, 372, 419, 451, 453, 463, 473, 516, 532, 560, 572, 596, 618, 623] [17, 22, 34, 93, 121, 177, 245, 284, 299, 329, 364, 373, 420, 452, 454, 464, 474, 517, 533, 561, 573, 597, 619, 624] [18, 23, 35, 94, 122, 178, 246, 285, 300, 330, 365, 374, 421, 453, 455, 465, 475, 518, 534, 562, 574, 598, 620, 625] [19, 24, 36, 95, 123, 179, 247, 286, 301, 331, 366, 375, 422, 454, 456, 466, 476, 519, 535, 563, 575, 599, 621, 626] [20, 25, 37, 96, 124, 180, 248, 287, 302, 332, 367, 376, 423, 455, 457, 467, 477, 520, 536, 564, 576, 600, 622, 627] [21, 26, 38, 97, 125, 181, 249, 288, 303, 333, 368, 377, 424, 456, 458, 468, 478, 521, 537, 565, 577, 601, 623, 628] [22, 27, 39, 98, 126, 182, 250, 289, 304, 334, 369, 378, 425, 457, 459, 469, 479, 522, 538, 566, 578, 602, 624, 629] [23, 28, 40, 99, 127, 183, 251, 290, 305, 315, 335, 370, 379, 426, 458, 460, 470, 480, 523, 539, 567, 579, 603, 625] [24, 29, 41, 100, 128, 184, 252, 291, 306, 316, 336, 371, 380, 427, 459, 461, 471, 481, 524, 540, 568, 580, 604, 626] [25, 30, 42, 101, 129, 185, 253, 292, 307, 317, 337, 372, 381, 428, 460, 462, 472, 482, 525, 541, 569, 581, 605, 627] [26, 31, 43, 102, 130, 186, 254, 293, 308, 318, 338, 373, 382, 429, 461, 463, 473, 483, 526, 542, 570, 582, 606, 628] [27, 32, 44, 103, 131, 187, 255, 294, 309, 319, 339, 374, 383, 430, 462, 464, 474, 484, 527, 543, 571, 583, 607, 629] [28, 33, 45, 104, 132, 188, 256, 295, 310, 315, 320, 340, 375, 384, 431, 463, 465, 475, 485, 528, 544, 572, 584, 608] [29, 34, 46, 105, 133, 189, 257, 296, 311, 316, 321, 341, 376, 385, 432, 464, 466, 476, 486, 529, 545, 573, 585, 609] [30, 35, 47, 106, 134, 190, 258, 297, 312, 317, 322, 342, 377, 386, 433, 465, 467, 477, 487, 530, 546, 574, 586, 610] [31, 36, 48, 107, 135, 191, 259, 298, 313, 318, 323, 343, 378, 387, 434, 466, 468, 478, 488, 531, 547, 575, 587, 611] [32, 37, 49, 108, 136, 192, 260, 299, 314, 319, 324, 344, 379, 388, 435, 467, 469, 479, 489, 532, 548, 576, 588, 612] [0, 33, 38, 50, 109, 137, 193, 261, 300, 320, 325, 345, 380, 389, 436, 468, 470, 480, 490, 533, 549, 577, 589, 613] [1, 34, 39, 51, 110, 138, 194, 262, 301, 321, 326, 346, 381, 390, 437, 469, 471, 481, 491, 534, 550, 578, 590, 614] [2, 35, 40, 52, 111, 139, 195, 263, 302, 322, 327, 347, 382, 391, 438, 470, 472, 482, 492, 535, 551, 579, 591, 615] [3, 36, 41, 53, 112, 140, 196, 264, 303, 323, 328, 348, 383, 392, 439, 471, 473, 483, 493, 536, 552, 580, 592, 616] [4, 37, 42, 54, 113, 141, 197, 265, 304, 324, 329, 349, 384, 393, 440, 472, 474, 484, 494, 537, 553, 581, 593, 617] [5, 38, 43, 55, 114, 142, 198, 266, 305, 325, 330, 350, 385, 394, 441, 473, 475, 485, 495, 538, 554, 582, 594, 618] [6, 39, 44, 56, 115, 143, 199, 267, 306, 326, 331, 351, 386, 395, 442, 474, 476, 486, 496, 539, 555, 583, 595, 619] [7, 40, 45, 57, 116, 144, 200, 268, 307, 327, 332, 352, 387, 396, 443, 475, 477, 487, 497, 540, 556, 584, 596, 620] [8, 41, 46, 58, 117, 145, 201, 269, 308, 328, 333, 353, 388, 397, 444, 476, 478, 488, 498, 541, 557, 585, 597, 621] [9, 42, 47, 59, 118, 146, 202, 270, 309, 329, 334, 354, 389, 398, 445, 477, 479, 489, 499, 542, 558, 586, 598, 622] [10, 43, 48, 60, 119, 147, 203, 271, 310, 330, 335, 355, 390, 399, 446, 478, 480, 490, 500, 543, 559, 587, 599, 623] [11, 44, 49, 61, 120, 148, 204, 272, 311, 331, 336, 356, 391, 400, 447, 479, 481, 491, 501, 544, 560, 588, 600, 624] [12, 45, 50, 62, 121, 149, 205, 273, 312, 332, 337, 357, 392, 401, 448, 480, 482, 492, 502, 545, 561, 589, 601, 625] [13, 46, 51, 63, 122, 150, 206, 274, 313, 333, 338, 358, 393, 402, 449, 481, 483, 493, 503, 546, 562, 590, 602, 626] [14, 47, 52, 64, 123, 151, 207, 275, 314, 334, 339, 359, 394, 403, 450, 482, 484, 494, 504, 547, 563, 591, 603, 627] [0, 15, 48, 53, 65, 124, 152, 208, 276, 335, 340, 360, 395, 404, 451, 483, 485, 495, 505, 548, 564, 592, 604, 628] [1, 16, 49, 54, 66, 125, 153, 209, 277, 336, 341, 361, 396, 405, 452, 484, 486, 496, 506, 549, 565, 593, 605, 629] [2, 17, 50, 55, 67, 126, 154, 210, 278, 315, 337, 342, 362, 397, 406, 453, 485, 487, 497, 507, 550, 566, 594, 606] [3, 18, 51, 56, 68, 127, 155, 211, 279, 316, 338, 343, 363, 398, 407, 454, 486, 488, 498, 508, 551, 567, 595, 607] [4, 19, 52, 57, 69, 128, 156, 212, 280, 317, 339, 344, 364, 399, 408, 455, 487, 489, 499, 509, 552, 568, 596, 608] [5, 20, 53, 58, 70, 129, 157, 213, 281, 318, 340, 345, 365, 400, 409, 456, 488, 490, 500, 510, 553, 569, 597, 609] [6, 21, 54, 59, 71, 130, 158, 214, 282, 319, 341, 346, 366, 401, 410, 457, 489, 491, 501, 511, 554, 570, 598, 610] [7, 22, 55, 60, 72, 131, 159, 215, 283, 320, 342, 347, 367, 402, 411, 458, 490, 492, 502, 512, 555, 571, 599, 611] [8, 23, 56, 61, 73, 132, 160, 216, 284, 321, 343, 348, 368, 403, 412, 459, 491, 493, 503, 513, 556, 572, 600, 612] [9, 24, 57, 62, 74, 133, 161, 217, 285, 322, 344, 349, 369, 404, 413, 460, 492, 494, 504, 514, 557, 573, 601, 613] [10, 25, 58, 63, 75, 134, 162, 218, 286, 323, 345, 350, 370, 405, 414, 461, 493, 495, 505, 515, 558, 574, 602, 614] [11, 26, 59, 64, 76, 135, 163, 219, 287, 324, 346, 351, 371, 406, 415, 462, 494, 496, 506, 516, 559, 575, 603, 615] [12, 27, 60, 65, 77, 136, 164, 220, 288, 325, 347, 352, 372, 407, 416, 463, 495, 497, 507, 517, 560, 576, 604, 616] [13, 28, 61, 66, 78, 137, 165, 221, 289, 326, 348, 353, 373, 408, 417, 464, 496, 498, 508, 518, 561, 577, 605, 617] [14, 29, 62, 67, 79, 138, 166, 222, 290, 327, 349, 354, 374, 409, 418, 465, 497, 499, 509, 519, 562, 578, 606, 618] [15, 30, 63, 68, 80, 139, 167, 223, 291, 328, 350, 355, 375, 410, 419, 466, 498, 500, 510, 520, 563, 579, 607, 619] [16, 31, 64, 69, 81, 140, 168, 224, 292, 329, 351, 356, 376, 411, 420, 467, 499, 501, 511, 521, 564, 580, 608, 620] [17, 32, 65, 70, 82, 141, 169, 225, 293, 330, 352, 357, 377, 412, 421, 468, 500, 502, 512, 522, 565, 581, 609, 621] [18, 33, 66, 71, 83, 142, 170, 226, 294, 331, 353, 358, 378, 413, 422, 469, 501, 503, 513, 523, 566, 582, 610, 622] [19, 34, 67, 72, 84, 143, 171, 227, 295, 332, 354, 359, 379, 414, 423, 470, 502, 504, 514, 524, 567, 583, 611, 623] [20, 35, 68, 73, 85, 144, 172, 228, 296, 333, 355, 360, 380, 415, 424, 471, 503, 505, 515, 525, 568, 584, 612, 624] [21, 36, 69, 74, 86, 145, 173, 229, 297, 334, 356, 361, 381, 416, 425, 472, 504, 506, 516, 526, 569, 585, 613, 625] [22, 37, 70, 75, 87, 146, 174, 230, 298, 335, 357, 362, 382, 417, 426, 473, 505, 507, 517, 527, 570, 586, 614, 626] [23, 38, 71, 76, 88, 147, 175, 231, 299, 336, 358, 363, 383, 418, 427, 474, 506, 508, 518, 528, 571, 587, 615, 627] [24, 39, 72, 77, 89, 148, 176, 232, 300, 337, 359, 364, 384, 419, 428, 475, 507, 509, 519, 529, 572, 588, 616, 628] [25, 40, 73, 78, 90, 149, 177, 233, 301, 338, 360, 365, 385, 420, 429, 476, 508, 510, 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Code ID 630-44-60 · download JSON · raw on GitHub