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[[630,24,60]] d ≤
n
630
k
24
d
60
kd²/n
137.143
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 found by @VedantMahadik-qc · norm-word lift of a Z_21 quotient logical · found at 1 trials · 2026-09-24
witness operator (support, 60 qubits)
[5, 7, 26, 28, 47, 49, 68, 70, 89, 91, 110, 112, 131, 133, 152, 154, 173, 175, 194, 196, 215, 217, 236, 238, 257, 259, 278, 280, 299, 301, 323, 326, 344, 347, 365, 368, 386, 389, 407, 410, 428, 431, 449, 452, 470, 473, 491, 494, 512, 515, 533, 536, 554, 557, 575, 578, 596, 599, 617, 620]
d_Z 60 · witness weight 60 (claimed upper_bound)
witness found by @VedantMahadik-qc · norm-word lift of a Z_21 quotient logical · found at 1 trials · 2026-09-24
witness operator (support, 60 qubits)
[4, 7, 25, 28, 46, 49, 67, 70, 88, 91, 109, 112, 130, 133, 151, 154, 172, 175, 193, 196, 214, 217, 235, 238, 256, 259, 277, 280, 298, 301, 323, 325, 344, 346, 365, 367, 386, 388, 407, 409, 428, 430, 449, 451, 470, 472, 491, 493, 512, 514, 533, 535, 554, 556, 575, 577, 596, 598, 617, 619]
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)×630 (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): 630 (2,16): 10080 (2,18): 315 (2,20): 6300 (2,22): 28980 (2,24): 945 (2,26): 7245 (2,28): 15750
trapping sets H_Z (1,9)×315 (2,14)×630 (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): 630 (2,16): 10080 (2,18): 315 (2,20): 6300 (2,22): 28980 (2,24): 945 (2,26): 7245 (2,28): 15750

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) = x0 + x44 + x76 + x109 + x134 + x226 + x233 + x257 + x311, b(x) = x2 + x20 + x25 + x53 + x87 + x110 + x137 + x140 + x178 + x199 + x226 + x235 + x256 + x268 + x281; 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

[[630,24,60]]: distance revision of the board's [[630,24,90]] entry

Revision history

[[630,24,60]] supersedes the board's [[630,24,90]] entry. The code, its checks, and its original provenance are unchanged; only the distance block is corrected. The entry is a cyclic generalized-bicycle code on Z_315 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Structural witnesses exhibit a weight-60 X logical and a weight-60 Z logical. On both sides the Z_21 quotient code (a and b reduced modulo x^21 - 1) has a weight-4 logical, and its norm-word lift, multiplication by N_15 = 1 + x^21 + ... + x^294, is a weight-60 logical of the full code. The headline falls from kd^2/n = 308.571 to 137.143. The lighter witnesses are carried in the entry, one per side. Distance remains an upper bound, not an exact claim.

Evidence

The bound is the norm-word lift described under "Two exact bounds" in fieldnotes/2026-09-22-frontier-truth-gpu-audit.md: for m = q r, a logical u of the quotient code on Z_q of weight w lifts to N_r u, a logical of the full code of weight r w. Here m = 315, q = 21, r = 15. Reducing a and b modulo x^21 - 1 gives a ~ x^0 + x^4 + x^5 + x^8 + x^13 + x^16 + x^17 and b ~ x^2 + x^3 + x^4 + x^5 + x^8 + x^14 + x^20, with deg gcd(a, b, x^21 - 1) = 8, so the quotient is a [[42,16]] code, and a weight-4 logical of it lifts to weight 4 x 15 = 60.

Each committed witness has that shape: it is a union of four complete residue classes modulo 21, fifteen positions each, inside the two length-315 blocks (positions 0-314 are the first block, 315-629 the second).

| side | claimed | lightest witness | block 0 classes (i mod 21) | block 1 classes (i mod 21) | |---|---|---|---|---| | X | 90 | 60 | 5, 7 | 8, 11 | | Z | 90 | 60 | 4, 7 | 8, 10 |

The witnesses are not sampled on the full code, so the witness_provenance sampling field found_at_samples carries the placeholder 1 and the tool field names the construction. Each witness is re-checked by the verifier on the committed check matrices: in the kernel of the opposite side's checks and outside the row space of its own side. The submission's own ladder (up to 8M random information-set trials, per the original note below) did not reach these operators; they sit in the low-dimensional subspace of norm-word multiples that a plain information-set search rarely samples.

Reproduction

Reduce a(x) and b(x) modulo x^21 - 1, search the resulting [[42,16]] quotient code on each side for a weight-4 logical, and multiply it by N_15. The lifted vectors are the two witnesses in the entry.

Original note (unchanged)

[[630,24,90]] 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^0 + x^44 + x^76 + x^109 + x^134 + x^226 + x^233 + x^257 + x^311 b(x) = x^2 + x^20 + x^25 + x^53 + x^87 + x^110 + x^137 + x^140 + x^178 + x^199 + x^226 + x^235 + x^256 + x^268 + x^281 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 = 308.571 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)
[0, 44, 76, 109, 134, 226, 233, 257, 311, 317, 335, 340, 368, 402, 425, 452, 455, 493, 514, 541, 550, 571, 583, 596] [1, 45, 77, 110, 135, 227, 234, 258, 312, 318, 336, 341, 369, 403, 426, 453, 456, 494, 515, 542, 551, 572, 584, 597] [2, 46, 78, 111, 136, 228, 235, 259, 313, 319, 337, 342, 370, 404, 427, 454, 457, 495, 516, 543, 552, 573, 585, 598] [3, 47, 79, 112, 137, 229, 236, 260, 314, 320, 338, 343, 371, 405, 428, 455, 458, 496, 517, 544, 553, 574, 586, 599] [0, 4, 48, 80, 113, 138, 230, 237, 261, 321, 339, 344, 372, 406, 429, 456, 459, 497, 518, 545, 554, 575, 587, 600] [1, 5, 49, 81, 114, 139, 231, 238, 262, 322, 340, 345, 373, 407, 430, 457, 460, 498, 519, 546, 555, 576, 588, 601] [2, 6, 50, 82, 115, 140, 232, 239, 263, 323, 341, 346, 374, 408, 431, 458, 461, 499, 520, 547, 556, 577, 589, 602] [3, 7, 51, 83, 116, 141, 233, 240, 264, 324, 342, 347, 375, 409, 432, 459, 462, 500, 521, 548, 557, 578, 590, 603] [4, 8, 52, 84, 117, 142, 234, 241, 265, 325, 343, 348, 376, 410, 433, 460, 463, 501, 522, 549, 558, 579, 591, 604] [5, 9, 53, 85, 118, 143, 235, 242, 266, 326, 344, 349, 377, 411, 434, 461, 464, 502, 523, 550, 559, 580, 592, 605] [6, 10, 54, 86, 119, 144, 236, 243, 267, 327, 345, 350, 378, 412, 435, 462, 465, 503, 524, 551, 560, 581, 593, 606] [7, 11, 55, 87, 120, 145, 237, 244, 268, 328, 346, 351, 379, 413, 436, 463, 466, 504, 525, 552, 561, 582, 594, 607] [8, 12, 56, 88, 121, 146, 238, 245, 269, 329, 347, 352, 380, 414, 437, 464, 467, 505, 526, 553, 562, 583, 595, 608] [9, 13, 57, 89, 122, 147, 239, 246, 270, 330, 348, 353, 381, 415, 438, 465, 468, 506, 527, 554, 563, 584, 596, 609] [10, 14, 58, 90, 123, 148, 240, 247, 271, 331, 349, 354, 382, 416, 439, 466, 469, 507, 528, 555, 564, 585, 597, 610] [11, 15, 59, 91, 124, 149, 241, 248, 272, 332, 350, 355, 383, 417, 440, 467, 470, 508, 529, 556, 565, 586, 598, 611] [12, 16, 60, 92, 125, 150, 242, 249, 273, 333, 351, 356, 384, 418, 441, 468, 471, 509, 530, 557, 566, 587, 599, 612] [13, 17, 61, 93, 126, 151, 243, 250, 274, 334, 352, 357, 385, 419, 442, 469, 472, 510, 531, 558, 567, 588, 600, 613] [14, 18, 62, 94, 127, 152, 244, 251, 275, 335, 353, 358, 386, 420, 443, 470, 473, 511, 532, 559, 568, 589, 601, 614] [15, 19, 63, 95, 128, 153, 245, 252, 276, 336, 354, 359, 387, 421, 444, 471, 474, 512, 533, 560, 569, 590, 602, 615] [16, 20, 64, 96, 129, 154, 246, 253, 277, 337, 355, 360, 388, 422, 445, 472, 475, 513, 534, 561, 570, 591, 603, 616] [17, 21, 65, 97, 130, 155, 247, 254, 278, 338, 356, 361, 389, 423, 446, 473, 476, 514, 535, 562, 571, 592, 604, 617] [18, 22, 66, 98, 131, 156, 248, 255, 279, 339, 357, 362, 390, 424, 447, 474, 477, 515, 536, 563, 572, 593, 605, 618] [19, 23, 67, 99, 132, 157, 249, 256, 280, 340, 358, 363, 391, 425, 448, 475, 478, 516, 537, 564, 573, 594, 606, 619] [20, 24, 68, 100, 133, 158, 250, 257, 281, 341, 359, 364, 392, 426, 449, 476, 479, 517, 538, 565, 574, 595, 607, 620] [21, 25, 69, 101, 134, 159, 251, 258, 282, 342, 360, 365, 393, 427, 450, 477, 480, 518, 539, 566, 575, 596, 608, 621] [22, 26, 70, 102, 135, 160, 252, 259, 283, 343, 361, 366, 394, 428, 451, 478, 481, 519, 540, 567, 576, 597, 609, 622] [23, 27, 71, 103, 136, 161, 253, 260, 284, 344, 362, 367, 395, 429, 452, 479, 482, 520, 541, 568, 577, 598, 610, 623] [24, 28, 72, 104, 137, 162, 254, 261, 285, 345, 363, 368, 396, 430, 453, 480, 483, 521, 542, 569, 578, 599, 611, 624] [25, 29, 73, 105, 138, 163, 255, 262, 286, 346, 364, 369, 397, 431, 454, 481, 484, 522, 543, 570, 579, 600, 612, 625] [26, 30, 74, 106, 139, 164, 256, 263, 287, 347, 365, 370, 398, 432, 455, 482, 485, 523, 544, 571, 580, 601, 613, 626] [27, 31, 75, 107, 140, 165, 257, 264, 288, 348, 366, 371, 399, 433, 456, 483, 486, 524, 545, 572, 581, 602, 614, 627] [28, 32, 76, 108, 141, 166, 258, 265, 289, 349, 367, 372, 400, 434, 457, 484, 487, 525, 546, 573, 582, 603, 615, 628] [29, 33, 77, 109, 142, 167, 259, 266, 290, 350, 368, 373, 401, 435, 458, 485, 488, 526, 547, 574, 583, 604, 616, 629] [30, 34, 78, 110, 143, 168, 260, 267, 291, 315, 351, 369, 374, 402, 436, 459, 486, 489, 527, 548, 575, 584, 605, 617] [31, 35, 79, 111, 144, 169, 261, 268, 292, 316, 352, 370, 375, 403, 437, 460, 487, 490, 528, 549, 576, 585, 606, 618] [32, 36, 80, 112, 145, 170, 262, 269, 293, 317, 353, 371, 376, 404, 438, 461, 488, 491, 529, 550, 577, 586, 607, 619] [33, 37, 81, 113, 146, 171, 263, 270, 294, 318, 354, 372, 377, 405, 439, 462, 489, 492, 530, 551, 578, 587, 608, 620] [34, 38, 82, 114, 147, 172, 264, 271, 295, 319, 355, 373, 378, 406, 440, 463, 490, 493, 531, 552, 579, 588, 609, 621] [35, 39, 83, 115, 148, 173, 265, 272, 296, 320, 356, 374, 379, 407, 441, 464, 491, 494, 532, 553, 580, 589, 610, 622] [36, 40, 84, 116, 149, 174, 266, 273, 297, 321, 357, 375, 380, 408, 442, 465, 492, 495, 533, 554, 581, 590, 611, 623] [37, 41, 85, 117, 150, 175, 267, 274, 298, 322, 358, 376, 381, 409, 443, 466, 493, 496, 534, 555, 582, 591, 612, 624] [38, 42, 86, 118, 151, 176, 268, 275, 299, 323, 359, 377, 382, 410, 444, 467, 494, 497, 535, 556, 583, 592, 613, 625] [39, 43, 87, 119, 152, 177, 269, 276, 300, 324, 360, 378, 383, 411, 445, 468, 495, 498, 536, 557, 584, 593, 614, 626] [40, 44, 88, 120, 153, 178, 270, 277, 301, 325, 361, 379, 384, 412, 446, 469, 496, 499, 537, 558, 585, 594, 615, 627] [41, 45, 89, 121, 154, 179, 271, 278, 302, 326, 362, 380, 385, 413, 447, 470, 497, 500, 538, 559, 586, 595, 616, 628] [42, 46, 90, 122, 155, 180, 272, 279, 303, 327, 363, 381, 386, 414, 448, 471, 498, 501, 539, 560, 587, 596, 617, 629] [43, 47, 91, 123, 156, 181, 273, 280, 304, 315, 328, 364, 382, 387, 415, 449, 472, 499, 502, 540, 561, 588, 597, 618] [44, 48, 92, 124, 157, 182, 274, 281, 305, 316, 329, 365, 383, 388, 416, 450, 473, 500, 503, 541, 562, 589, 598, 619] [45, 49, 93, 125, 158, 183, 275, 282, 306, 317, 330, 366, 384, 389, 417, 451, 474, 501, 504, 542, 563, 590, 599, 620] [46, 50, 94, 126, 159, 184, 276, 283, 307, 318, 331, 367, 385, 390, 418, 452, 475, 502, 505, 543, 564, 591, 600, 621] [47, 51, 95, 127, 160, 185, 277, 284, 308, 319, 332, 368, 386, 391, 419, 453, 476, 503, 506, 544, 565, 592, 601, 622] [48, 52, 96, 128, 161, 186, 278, 285, 309, 320, 333, 369, 387, 392, 420, 454, 477, 504, 507, 545, 566, 593, 602, 623] [49, 53, 97, 129, 162, 187, 279, 286, 310, 321, 334, 370, 388, 393, 421, 455, 478, 505, 508, 546, 567, 594, 603, 624] [50, 54, 98, 130, 163, 188, 280, 287, 311, 322, 335, 371, 389, 394, 422, 456, 479, 506, 509, 547, 568, 595, 604, 625] [51, 55, 99, 131, 164, 189, 281, 288, 312, 323, 336, 372, 390, 395, 423, 457, 480, 507, 510, 548, 569, 596, 605, 626] [52, 56, 100, 132, 165, 190, 282, 289, 313, 324, 337, 373, 391, 396, 424, 458, 481, 508, 511, 549, 570, 597, 606, 627] [53, 57, 101, 133, 166, 191, 283, 290, 314, 325, 338, 374, 392, 397, 425, 459, 482, 509, 512, 550, 571, 598, 607, 628] [0, 54, 58, 102, 134, 167, 192, 284, 291, 326, 339, 375, 393, 398, 426, 460, 483, 510, 513, 551, 572, 599, 608, 629] [1, 55, 59, 103, 135, 168, 193, 285, 292, 315, 327, 340, 376, 394, 399, 427, 461, 484, 511, 514, 552, 573, 600, 609] [2, 56, 60, 104, 136, 169, 194, 286, 293, 316, 328, 341, 377, 395, 400, 428, 462, 485, 512, 515, 553, 574, 601, 610] [3, 57, 61, 105, 137, 170, 195, 287, 294, 317, 329, 342, 378, 396, 401, 429, 463, 486, 513, 516, 554, 575, 602, 611] [4, 58, 62, 106, 138, 171, 196, 288, 295, 318, 330, 343, 379, 397, 402, 430, 464, 487, 514, 517, 555, 576, 603, 612] [5, 59, 63, 107, 139, 172, 197, 289, 296, 319, 331, 344, 380, 398, 403, 431, 465, 488, 515, 518, 556, 577, 604, 613] [6, 60, 64, 108, 140, 173, 198, 290, 297, 320, 332, 345, 381, 399, 404, 432, 466, 489, 516, 519, 557, 578, 605, 614] [7, 61, 65, 109, 141, 174, 199, 291, 298, 321, 333, 346, 382, 400, 405, 433, 467, 490, 517, 520, 558, 579, 606, 615] [8, 62, 66, 110, 142, 175, 200, 292, 299, 322, 334, 347, 383, 401, 406, 434, 468, 491, 518, 521, 559, 580, 607, 616] [9, 63, 67, 111, 143, 176, 201, 293, 300, 323, 335, 348, 384, 402, 407, 435, 469, 492, 519, 522, 560, 581, 608, 617] [10, 64, 68, 112, 144, 177, 202, 294, 301, 324, 336, 349, 385, 403, 408, 436, 470, 493, 520, 523, 561, 582, 609, 618] [11, 65, 69, 113, 145, 178, 203, 295, 302, 325, 337, 350, 386, 404, 409, 437, 471, 494, 521, 524, 562, 583, 610, 619] [12, 66, 70, 114, 146, 179, 204, 296, 303, 326, 338, 351, 387, 405, 410, 438, 472, 495, 522, 525, 563, 584, 611, 620] [13, 67, 71, 115, 147, 180, 205, 297, 304, 327, 339, 352, 388, 406, 411, 439, 473, 496, 523, 526, 564, 585, 612, 621] [14, 68, 72, 116, 148, 181, 206, 298, 305, 328, 340, 353, 389, 407, 412, 440, 474, 497, 524, 527, 565, 586, 613, 622] [15, 69, 73, 117, 149, 182, 207, 299, 306, 329, 341, 354, 390, 408, 413, 441, 475, 498, 525, 528, 566, 587, 614, 623] [16, 70, 74, 118, 150, 183, 208, 300, 307, 330, 342, 355, 391, 409, 414, 442, 476, 499, 526, 529, 567, 588, 615, 624] [17, 71, 75, 119, 151, 184, 209, 301, 308, 331, 343, 356, 392, 410, 415, 443, 477, 500, 527, 530, 568, 589, 616, 625] [18, 72, 76, 120, 152, 185, 210, 302, 309, 332, 344, 357, 393, 411, 416, 444, 478, 501, 528, 531, 569, 590, 617, 626] [19, 73, 77, 121, 153, 186, 211, 303, 310, 333, 345, 358, 394, 412, 417, 445, 479, 502, 529, 532, 570, 591, 618, 627] [20, 74, 78, 122, 154, 187, 212, 304, 311, 334, 346, 359, 395, 413, 418, 446, 480, 503, 530, 533, 571, 592, 619, 628] [21, 75, 79, 123, 155, 188, 213, 305, 312, 335, 347, 360, 396, 414, 419, 447, 481, 504, 531, 534, 572, 593, 620, 629] [22, 76, 80, 124, 156, 189, 214, 306, 313, 315, 336, 348, 361, 397, 415, 420, 448, 482, 505, 532, 535, 573, 594, 621] [23, 77, 81, 125, 157, 190, 215, 307, 314, 316, 337, 349, 362, 398, 416, 421, 449, 483, 506, 533, 536, 574, 595, 622] [0, 24, 78, 82, 126, 158, 191, 216, 308, 317, 338, 350, 363, 399, 417, 422, 450, 484, 507, 534, 537, 575, 596, 623] [1, 25, 79, 83, 127, 159, 192, 217, 309, 318, 339, 351, 364, 400, 418, 423, 451, 485, 508, 535, 538, 576, 597, 624] [2, 26, 80, 84, 128, 160, 193, 218, 310, 319, 340, 352, 365, 401, 419, 424, 452, 486, 509, 536, 539, 577, 598, 625] [3, 27, 81, 85, 129, 161, 194, 219, 311, 320, 341, 353, 366, 402, 420, 425, 453, 487, 510, 537, 540, 578, 599, 626] [4, 28, 82, 86, 130, 162, 195, 220, 312, 321, 342, 354, 367, 403, 421, 426, 454, 488, 511, 538, 541, 579, 600, 627] [5, 29, 83, 87, 131, 163, 196, 221, 313, 322, 343, 355, 368, 404, 422, 427, 455, 489, 512, 539, 542, 580, 601, 628] [6, 30, 84, 88, 132, 164, 197, 222, 314, 323, 344, 356, 369, 405, 423, 428, 456, 490, 513, 540, 543, 581, 602, 629] [0, 7, 31, 85, 89, 133, 165, 198, 223, 315, 324, 345, 357, 370, 406, 424, 429, 457, 491, 514, 541, 544, 582, 603] [1, 8, 32, 86, 90, 134, 166, 199, 224, 316, 325, 346, 358, 371, 407, 425, 430, 458, 492, 515, 542, 545, 583, 604] [2, 9, 33, 87, 91, 135, 167, 200, 225, 317, 326, 347, 359, 372, 408, 426, 431, 459, 493, 516, 543, 546, 584, 605] [3, 10, 34, 88, 92, 136, 168, 201, 226, 318, 327, 348, 360, 373, 409, 427, 432, 460, 494, 517, 544, 547, 585, 606] [4, 11, 35, 89, 93, 137, 169, 202, 227, 319, 328, 349, 361, 374, 410, 428, 433, 461, 495, 518, 545, 548, 586, 607] [5, 12, 36, 90, 94, 138, 170, 203, 228, 320, 329, 350, 362, 375, 411, 429, 434, 462, 496, 519, 546, 549, 587, 608] [6, 13, 37, 91, 95, 139, 171, 204, 229, 321, 330, 351, 363, 376, 412, 430, 435, 463, 497, 520, 547, 550, 588, 609] [7, 14, 38, 92, 96, 140, 172, 205, 230, 322, 331, 352, 364, 377, 413, 431, 436, 464, 498, 521, 548, 551, 589, 610] [8, 15, 39, 93, 97, 141, 173, 206, 231, 323, 332, 353, 365, 378, 414, 432, 437, 465, 499, 522, 549, 552, 590, 611] [9, 16, 40, 94, 98, 142, 174, 207, 232, 324, 333, 354, 366, 379, 415, 433, 438, 466, 500, 523, 550, 553, 591, 612] [10, 17, 41, 95, 99, 143, 175, 208, 233, 325, 334, 355, 367, 380, 416, 434, 439, 467, 501, 524, 551, 554, 592, 613] [11, 18, 42, 96, 100, 144, 176, 209, 234, 326, 335, 356, 368, 381, 417, 435, 440, 468, 502, 525, 552, 555, 593, 614] [12, 19, 43, 97, 101, 145, 177, 210, 235, 327, 336, 357, 369, 382, 418, 436, 441, 469, 503, 526, 553, 556, 594, 615] [13, 20, 44, 98, 102, 146, 178, 211, 236, 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484, 496, 509, 545, 563, 568, 596] [23, 48, 140, 147, 171, 225, 229, 273, 305, 316, 339, 366, 369, 407, 428, 455, 464, 485, 497, 510, 546, 564, 569, 597] [24, 49, 141, 148, 172, 226, 230, 274, 306, 317, 340, 367, 370, 408, 429, 456, 465, 486, 498, 511, 547, 565, 570, 598] [25, 50, 142, 149, 173, 227, 231, 275, 307, 318, 341, 368, 371, 409, 430, 457, 466, 487, 499, 512, 548, 566, 571, 599] [26, 51, 143, 150, 174, 228, 232, 276, 308, 319, 342, 369, 372, 410, 431, 458, 467, 488, 500, 513, 549, 567, 572, 600] [27, 52, 144, 151, 175, 229, 233, 277, 309, 320, 343, 370, 373, 411, 432, 459, 468, 489, 501, 514, 550, 568, 573, 601] [28, 53, 145, 152, 176, 230, 234, 278, 310, 321, 344, 371, 374, 412, 433, 460, 469, 490, 502, 515, 551, 569, 574, 602] [29, 54, 146, 153, 177, 231, 235, 279, 311, 322, 345, 372, 375, 413, 434, 461, 470, 491, 503, 516, 552, 570, 575, 603] [30, 55, 147, 154, 178, 232, 236, 280, 312, 323, 346, 373, 376, 414, 435, 462, 471, 492, 504, 517, 553, 571, 576, 604] [31, 56, 148, 155, 179, 233, 237, 281, 313, 324, 347, 374, 377, 415, 436, 463, 472, 493, 505, 518, 554, 572, 577, 605] [32, 57, 149, 156, 180, 234, 238, 282, 314, 325, 348, 375, 378, 416, 437, 464, 473, 494, 506, 519, 555, 573, 578, 606] [0, 33, 58, 150, 157, 181, 235, 239, 283, 326, 349, 376, 379, 417, 438, 465, 474, 495, 507, 520, 556, 574, 579, 607] [1, 34, 59, 151, 158, 182, 236, 240, 284, 327, 350, 377, 380, 418, 439, 466, 475, 496, 508, 521, 557, 575, 580, 608] [2, 35, 60, 152, 159, 183, 237, 241, 285, 328, 351, 378, 381, 419, 440, 467, 476, 497, 509, 522, 558, 576, 581, 609] [3, 36, 61, 153, 160, 184, 238, 242, 286, 329, 352, 379, 382, 420, 441, 468, 477, 498, 510, 523, 559, 577, 582, 610] [4, 37, 62, 154, 161, 185, 239, 243, 287, 330, 353, 380, 383, 421, 442, 469, 478, 499, 511, 524, 560, 578, 583, 611] [5, 38, 63, 155, 162, 186, 240, 244, 288, 331, 354, 381, 384, 422, 443, 470, 479, 500, 512, 525, 561, 579, 584, 612] [6, 39, 64, 156, 163, 187, 241, 245, 289, 332, 355, 382, 385, 423, 444, 471, 480, 501, 513, 526, 562, 580, 585, 613] [7, 40, 65, 157, 164, 188, 242, 246, 290, 333, 356, 383, 386, 424, 445, 472, 481, 502, 514, 527, 563, 581, 586, 614] [8, 41, 66, 158, 165, 189, 243, 247, 291, 334, 357, 384, 387, 425, 446, 473, 482, 503, 515, 528, 564, 582, 587, 615] [9, 42, 67, 159, 166, 190, 244, 248, 292, 335, 358, 385, 388, 426, 447, 474, 483, 504, 516, 529, 565, 583, 588, 616] [10, 43, 68, 160, 167, 191, 245, 249, 293, 336, 359, 386, 389, 427, 448, 475, 484, 505, 517, 530, 566, 584, 589, 617] [11, 44, 69, 161, 168, 192, 246, 250, 294, 337, 360, 387, 390, 428, 449, 476, 485, 506, 518, 531, 567, 585, 590, 618] [12, 45, 70, 162, 169, 193, 247, 251, 295, 338, 361, 388, 391, 429, 450, 477, 486, 507, 519, 532, 568, 586, 591, 619] [13, 46, 71, 163, 170, 194, 248, 252, 296, 339, 362, 389, 392, 430, 451, 478, 487, 508, 520, 533, 569, 587, 592, 620] [14, 47, 72, 164, 171, 195, 249, 253, 297, 340, 363, 390, 393, 431, 452, 479, 488, 509, 521, 534, 570, 588, 593, 621] [15, 48, 73, 165, 172, 196, 250, 254, 298, 341, 364, 391, 394, 432, 453, 480, 489, 510, 522, 535, 571, 589, 594, 622] [16, 49, 74, 166, 173, 197, 251, 255, 299, 342, 365, 392, 395, 433, 454, 481, 490, 511, 523, 536, 572, 590, 595, 623] [17, 50, 75, 167, 174, 198, 252, 256, 300, 343, 366, 393, 396, 434, 455, 482, 491, 512, 524, 537, 573, 591, 596, 624] [18, 51, 76, 168, 175, 199, 253, 257, 301, 344, 367, 394, 397, 435, 456, 483, 492, 513, 525, 538, 574, 592, 597, 625] [19, 52, 77, 169, 176, 200, 254, 258, 302, 345, 368, 395, 398, 436, 457, 484, 493, 514, 526, 539, 575, 593, 598, 626] [20, 53, 78, 170, 177, 201, 255, 259, 303, 346, 369, 396, 399, 437, 458, 485, 494, 515, 527, 540, 576, 594, 599, 627] [21, 54, 79, 171, 178, 202, 256, 260, 304, 347, 370, 397, 400, 438, 459, 486, 495, 516, 528, 541, 577, 595, 600, 628] [22, 55, 80, 172, 179, 203, 257, 261, 305, 348, 371, 398, 401, 439, 460, 487, 496, 517, 529, 542, 578, 596, 601, 629] [23, 56, 81, 173, 180, 204, 258, 262, 306, 315, 349, 372, 399, 402, 440, 461, 488, 497, 518, 530, 543, 579, 597, 602] [24, 57, 82, 174, 181, 205, 259, 263, 307, 316, 350, 373, 400, 403, 441, 462, 489, 498, 519, 531, 544, 580, 598, 603] [25, 58, 83, 175, 182, 206, 260, 264, 308, 317, 351, 374, 401, 404, 442, 463, 490, 499, 520, 532, 545, 581, 599, 604] [26, 59, 84, 176, 183, 207, 261, 265, 309, 318, 352, 375, 402, 405, 443, 464, 491, 500, 521, 533, 546, 582, 600, 605] [27, 60, 85, 177, 184, 208, 262, 266, 310, 319, 353, 376, 403, 406, 444, 465, 492, 501, 522, 534, 547, 583, 601, 606] [28, 61, 86, 178, 185, 209, 263, 267, 311, 320, 354, 377, 404, 407, 445, 466, 493, 502, 523, 535, 548, 584, 602, 607] [29, 62, 87, 179, 186, 210, 264, 268, 312, 321, 355, 378, 405, 408, 446, 467, 494, 503, 524, 536, 549, 585, 603, 608] [30, 63, 88, 180, 187, 211, 265, 269, 313, 322, 356, 379, 406, 409, 447, 468, 495, 504, 525, 537, 550, 586, 604, 609] [31, 64, 89, 181, 188, 212, 266, 270, 314, 323, 357, 380, 407, 410, 448, 469, 496, 505, 526, 538, 551, 587, 605, 610] [0, 32, 65, 90, 182, 189, 213, 267, 271, 324, 358, 381, 408, 411, 449, 470, 497, 506, 527, 539, 552, 588, 606, 611] [1, 33, 66, 91, 183, 190, 214, 268, 272, 325, 359, 382, 409, 412, 450, 471, 498, 507, 528, 540, 553, 589, 607, 612] [2, 34, 67, 92, 184, 191, 215, 269, 273, 326, 360, 383, 410, 413, 451, 472, 499, 508, 529, 541, 554, 590, 608, 613] [3, 35, 68, 93, 185, 192, 216, 270, 274, 327, 361, 384, 411, 414, 452, 473, 500, 509, 530, 542, 555, 591, 609, 614] [4, 36, 69, 94, 186, 193, 217, 271, 275, 328, 362, 385, 412, 415, 453, 474, 501, 510, 531, 543, 556, 592, 610, 615] [5, 37, 70, 95, 187, 194, 218, 272, 276, 329, 363, 386, 413, 416, 454, 475, 502, 511, 532, 544, 557, 593, 611, 616] [6, 38, 71, 96, 188, 195, 219, 273, 277, 330, 364, 387, 414, 417, 455, 476, 503, 512, 533, 545, 558, 594, 612, 617] [7, 39, 72, 97, 189, 196, 220, 274, 278, 331, 365, 388, 415, 418, 456, 477, 504, 513, 534, 546, 559, 595, 613, 618] [8, 40, 73, 98, 190, 197, 221, 275, 279, 332, 366, 389, 416, 419, 457, 478, 505, 514, 535, 547, 560, 596, 614, 619] [9, 41, 74, 99, 191, 198, 222, 276, 280, 333, 367, 390, 417, 420, 458, 479, 506, 515, 536, 548, 561, 597, 615, 620] [10, 42, 75, 100, 192, 199, 223, 277, 281, 334, 368, 391, 418, 421, 459, 480, 507, 516, 537, 549, 562, 598, 616, 621] [11, 43, 76, 101, 193, 200, 224, 278, 282, 335, 369, 392, 419, 422, 460, 481, 508, 517, 538, 550, 563, 599, 617, 622] [12, 44, 77, 102, 194, 201, 225, 279, 283, 336, 370, 393, 420, 423, 461, 482, 509, 518, 539, 551, 564, 600, 618, 623] [13, 45, 78, 103, 195, 202, 226, 280, 284, 337, 371, 394, 421, 424, 462, 483, 510, 519, 540, 552, 565, 601, 619, 624] [14, 46, 79, 104, 196, 203, 227, 281, 285, 338, 372, 395, 422, 425, 463, 484, 511, 520, 541, 553, 566, 602, 620, 625] [15, 47, 80, 105, 197, 204, 228, 282, 286, 339, 373, 396, 423, 426, 464, 485, 512, 521, 542, 554, 567, 603, 621, 626] [16, 48, 81, 106, 198, 205, 229, 283, 287, 340, 374, 397, 424, 427, 465, 486, 513, 522, 543, 555, 568, 604, 622, 627] [17, 49, 82, 107, 199, 206, 230, 284, 288, 341, 375, 398, 425, 428, 466, 487, 514, 523, 544, 556, 569, 605, 623, 628] [18, 50, 83, 108, 200, 207, 231, 285, 289, 342, 376, 399, 426, 429, 467, 488, 515, 524, 545, 557, 570, 606, 624, 629] [19, 51, 84, 109, 201, 208, 232, 286, 290, 315, 343, 377, 400, 427, 430, 468, 489, 516, 525, 546, 558, 571, 607, 625] [20, 52, 85, 110, 202, 209, 233, 287, 291, 316, 344, 378, 401, 428, 431, 469, 490, 517, 526, 547, 559, 572, 608, 626] [21, 53, 86, 111, 203, 210, 234, 288, 292, 317, 345, 379, 402, 429, 432, 470, 491, 518, 527, 548, 560, 573, 609, 627] [22, 54, 87, 112, 204, 211, 235, 289, 293, 318, 346, 380, 403, 430, 433, 471, 492, 519, 528, 549, 561, 574, 610, 628] [23, 55, 88, 113, 205, 212, 236, 290, 294, 319, 347, 381, 404, 431, 434, 472, 493, 520, 529, 550, 562, 575, 611, 629] [24, 56, 89, 114, 206, 213, 237, 291, 295, 315, 320, 348, 382, 405, 432, 435, 473, 494, 521, 530, 551, 563, 576, 612] [25, 57, 90, 115, 207, 214, 238, 292, 296, 316, 321, 349, 383, 406, 433, 436, 474, 495, 522, 531, 552, 564, 577, 613] [26, 58, 91, 116, 208, 215, 239, 293, 297, 317, 322, 350, 384, 407, 434, 437, 475, 496, 523, 532, 553, 565, 578, 614] [27, 59, 92, 117, 209, 216, 240, 294, 298, 318, 323, 351, 385, 408, 435, 438, 476, 497, 524, 533, 554, 566, 579, 615] [28, 60, 93, 118, 210, 217, 241, 295, 299, 319, 324, 352, 386, 409, 436, 439, 477, 498, 525, 534, 555, 567, 580, 616] [29, 61, 94, 119, 211, 218, 242, 296, 300, 320, 325, 353, 387, 410, 437, 440, 478, 499, 526, 535, 556, 568, 581, 617] [30, 62, 95, 120, 212, 219, 243, 297, 301, 321, 326, 354, 388, 411, 438, 441, 479, 500, 527, 536, 557, 569, 582, 618] [31, 63, 96, 121, 213, 220, 244, 298, 302, 322, 327, 355, 389, 412, 439, 442, 480, 501, 528, 537, 558, 570, 583, 619] [32, 64, 97, 122, 214, 221, 245, 299, 303, 323, 328, 356, 390, 413, 440, 443, 481, 502, 529, 538, 559, 571, 584, 620] [33, 65, 98, 123, 215, 222, 246, 300, 304, 324, 329, 357, 391, 414, 441, 444, 482, 503, 530, 539, 560, 572, 585, 621] [34, 66, 99, 124, 216, 223, 247, 301, 305, 325, 330, 358, 392, 415, 442, 445, 483, 504, 531, 540, 561, 573, 586, 622] [35, 67, 100, 125, 217, 224, 248, 302, 306, 326, 331, 359, 393, 416, 443, 446, 484, 505, 532, 541, 562, 574, 587, 623] [36, 68, 101, 126, 218, 225, 249, 303, 307, 327, 332, 360, 394, 417, 444, 447, 485, 506, 533, 542, 563, 575, 588, 624] [37, 69, 102, 127, 219, 226, 250, 304, 308, 328, 333, 361, 395, 418, 445, 448, 486, 507, 534, 543, 564, 576, 589, 625] [38, 70, 103, 128, 220, 227, 251, 305, 309, 329, 334, 362, 396, 419, 446, 449, 487, 508, 535, 544, 565, 577, 590, 626] [39, 71, 104, 129, 221, 228, 252, 306, 310, 330, 335, 363, 397, 420, 447, 450, 488, 509, 536, 545, 566, 578, 591, 627] [40, 72, 105, 130, 222, 229, 253, 307, 311, 331, 336, 364, 398, 421, 448, 451, 489, 510, 537, 546, 567, 579, 592, 628] [41, 73, 106, 131, 223, 230, 254, 308, 312, 332, 337, 365, 399, 422, 449, 452, 490, 511, 538, 547, 568, 580, 593, 629] [42, 74, 107, 132, 224, 231, 255, 309, 313, 315, 333, 338, 366, 400, 423, 450, 453, 491, 512, 539, 548, 569, 581, 594] [43, 75, 108, 133, 225, 232, 256, 310, 314, 316, 334, 339, 367, 401, 424, 451, 454, 492, 513, 540, 549, 570, 582, 595]
H_Z (315 checks, sparse supports)
[34, 47, 59, 80, 89, 116, 137, 175, 178, 205, 228, 262, 290, 295, 313, 315, 319, 373, 397, 404, 496, 521, 554, 586] [35, 48, 60, 81, 90, 117, 138, 176, 179, 206, 229, 263, 291, 296, 314, 316, 320, 374, 398, 405, 497, 522, 555, 587] [0, 36, 49, 61, 82, 91, 118, 139, 177, 180, 207, 230, 264, 292, 297, 317, 321, 375, 399, 406, 498, 523, 556, 588] [1, 37, 50, 62, 83, 92, 119, 140, 178, 181, 208, 231, 265, 293, 298, 318, 322, 376, 400, 407, 499, 524, 557, 589] [2, 38, 51, 63, 84, 93, 120, 141, 179, 182, 209, 232, 266, 294, 299, 319, 323, 377, 401, 408, 500, 525, 558, 590] [3, 39, 52, 64, 85, 94, 121, 142, 180, 183, 210, 233, 267, 295, 300, 320, 324, 378, 402, 409, 501, 526, 559, 591] [4, 40, 53, 65, 86, 95, 122, 143, 181, 184, 211, 234, 268, 296, 301, 321, 325, 379, 403, 410, 502, 527, 560, 592] [5, 41, 54, 66, 87, 96, 123, 144, 182, 185, 212, 235, 269, 297, 302, 322, 326, 380, 404, 411, 503, 528, 561, 593] [6, 42, 55, 67, 88, 97, 124, 145, 183, 186, 213, 236, 270, 298, 303, 323, 327, 381, 405, 412, 504, 529, 562, 594] [7, 43, 56, 68, 89, 98, 125, 146, 184, 187, 214, 237, 271, 299, 304, 324, 328, 382, 406, 413, 505, 530, 563, 595] [8, 44, 57, 69, 90, 99, 126, 147, 185, 188, 215, 238, 272, 300, 305, 325, 329, 383, 407, 414, 506, 531, 564, 596] [9, 45, 58, 70, 91, 100, 127, 148, 186, 189, 216, 239, 273, 301, 306, 326, 330, 384, 408, 415, 507, 532, 565, 597] [10, 46, 59, 71, 92, 101, 128, 149, 187, 190, 217, 240, 274, 302, 307, 327, 331, 385, 409, 416, 508, 533, 566, 598] [11, 47, 60, 72, 93, 102, 129, 150, 188, 191, 218, 241, 275, 303, 308, 328, 332, 386, 410, 417, 509, 534, 567, 599] [12, 48, 61, 73, 94, 103, 130, 151, 189, 192, 219, 242, 276, 304, 309, 329, 333, 387, 411, 418, 510, 535, 568, 600] [13, 49, 62, 74, 95, 104, 131, 152, 190, 193, 220, 243, 277, 305, 310, 330, 334, 388, 412, 419, 511, 536, 569, 601] [14, 50, 63, 75, 96, 105, 132, 153, 191, 194, 221, 244, 278, 306, 311, 331, 335, 389, 413, 420, 512, 537, 570, 602] [15, 51, 64, 76, 97, 106, 133, 154, 192, 195, 222, 245, 279, 307, 312, 332, 336, 390, 414, 421, 513, 538, 571, 603] [16, 52, 65, 77, 98, 107, 134, 155, 193, 196, 223, 246, 280, 308, 313, 333, 337, 391, 415, 422, 514, 539, 572, 604] [17, 53, 66, 78, 99, 108, 135, 156, 194, 197, 224, 247, 281, 309, 314, 334, 338, 392, 416, 423, 515, 540, 573, 605] [0, 18, 54, 67, 79, 100, 109, 136, 157, 195, 198, 225, 248, 282, 310, 335, 339, 393, 417, 424, 516, 541, 574, 606] [1, 19, 55, 68, 80, 101, 110, 137, 158, 196, 199, 226, 249, 283, 311, 336, 340, 394, 418, 425, 517, 542, 575, 607] [2, 20, 56, 69, 81, 102, 111, 138, 159, 197, 200, 227, 250, 284, 312, 337, 341, 395, 419, 426, 518, 543, 576, 608] [3, 21, 57, 70, 82, 103, 112, 139, 160, 198, 201, 228, 251, 285, 313, 338, 342, 396, 420, 427, 519, 544, 577, 609] [4, 22, 58, 71, 83, 104, 113, 140, 161, 199, 202, 229, 252, 286, 314, 339, 343, 397, 421, 428, 520, 545, 578, 610] [0, 5, 23, 59, 72, 84, 105, 114, 141, 162, 200, 203, 230, 253, 287, 340, 344, 398, 422, 429, 521, 546, 579, 611] [1, 6, 24, 60, 73, 85, 106, 115, 142, 163, 201, 204, 231, 254, 288, 341, 345, 399, 423, 430, 522, 547, 580, 612] [2, 7, 25, 61, 74, 86, 107, 116, 143, 164, 202, 205, 232, 255, 289, 342, 346, 400, 424, 431, 523, 548, 581, 613] [3, 8, 26, 62, 75, 87, 108, 117, 144, 165, 203, 206, 233, 256, 290, 343, 347, 401, 425, 432, 524, 549, 582, 614] [4, 9, 27, 63, 76, 88, 109, 118, 145, 166, 204, 207, 234, 257, 291, 344, 348, 402, 426, 433, 525, 550, 583, 615] [5, 10, 28, 64, 77, 89, 110, 119, 146, 167, 205, 208, 235, 258, 292, 345, 349, 403, 427, 434, 526, 551, 584, 616] [6, 11, 29, 65, 78, 90, 111, 120, 147, 168, 206, 209, 236, 259, 293, 346, 350, 404, 428, 435, 527, 552, 585, 617] [7, 12, 30, 66, 79, 91, 112, 121, 148, 169, 207, 210, 237, 260, 294, 347, 351, 405, 429, 436, 528, 553, 586, 618] [8, 13, 31, 67, 80, 92, 113, 122, 149, 170, 208, 211, 238, 261, 295, 348, 352, 406, 430, 437, 529, 554, 587, 619] [9, 14, 32, 68, 81, 93, 114, 123, 150, 171, 209, 212, 239, 262, 296, 349, 353, 407, 431, 438, 530, 555, 588, 620] [10, 15, 33, 69, 82, 94, 115, 124, 151, 172, 210, 213, 240, 263, 297, 350, 354, 408, 432, 439, 531, 556, 589, 621] [11, 16, 34, 70, 83, 95, 116, 125, 152, 173, 211, 214, 241, 264, 298, 351, 355, 409, 433, 440, 532, 557, 590, 622] [12, 17, 35, 71, 84, 96, 117, 126, 153, 174, 212, 215, 242, 265, 299, 352, 356, 410, 434, 441, 533, 558, 591, 623] [13, 18, 36, 72, 85, 97, 118, 127, 154, 175, 213, 216, 243, 266, 300, 353, 357, 411, 435, 442, 534, 559, 592, 624] [14, 19, 37, 73, 86, 98, 119, 128, 155, 176, 214, 217, 244, 267, 301, 354, 358, 412, 436, 443, 535, 560, 593, 625] [15, 20, 38, 74, 87, 99, 120, 129, 156, 177, 215, 218, 245, 268, 302, 355, 359, 413, 437, 444, 536, 561, 594, 626] [16, 21, 39, 75, 88, 100, 121, 130, 157, 178, 216, 219, 246, 269, 303, 356, 360, 414, 438, 445, 537, 562, 595, 627] [17, 22, 40, 76, 89, 101, 122, 131, 158, 179, 217, 220, 247, 270, 304, 357, 361, 415, 439, 446, 538, 563, 596, 628] [18, 23, 41, 77, 90, 102, 123, 132, 159, 180, 218, 221, 248, 271, 305, 358, 362, 416, 440, 447, 539, 564, 597, 629] [19, 24, 42, 78, 91, 103, 124, 133, 160, 181, 219, 222, 249, 272, 306, 315, 359, 363, 417, 441, 448, 540, 565, 598] [20, 25, 43, 79, 92, 104, 125, 134, 161, 182, 220, 223, 250, 273, 307, 316, 360, 364, 418, 442, 449, 541, 566, 599] [21, 26, 44, 80, 93, 105, 126, 135, 162, 183, 221, 224, 251, 274, 308, 317, 361, 365, 419, 443, 450, 542, 567, 600] [22, 27, 45, 81, 94, 106, 127, 136, 163, 184, 222, 225, 252, 275, 309, 318, 362, 366, 420, 444, 451, 543, 568, 601] [23, 28, 46, 82, 95, 107, 128, 137, 164, 185, 223, 226, 253, 276, 310, 319, 363, 367, 421, 445, 452, 544, 569, 602] [24, 29, 47, 83, 96, 108, 129, 138, 165, 186, 224, 227, 254, 277, 311, 320, 364, 368, 422, 446, 453, 545, 570, 603] [25, 30, 48, 84, 97, 109, 130, 139, 166, 187, 225, 228, 255, 278, 312, 321, 365, 369, 423, 447, 454, 546, 571, 604] [26, 31, 49, 85, 98, 110, 131, 140, 167, 188, 226, 229, 256, 279, 313, 322, 366, 370, 424, 448, 455, 547, 572, 605] [27, 32, 50, 86, 99, 111, 132, 141, 168, 189, 227, 230, 257, 280, 314, 323, 367, 371, 425, 449, 456, 548, 573, 606] [0, 28, 33, 51, 87, 100, 112, 133, 142, 169, 190, 228, 231, 258, 281, 324, 368, 372, 426, 450, 457, 549, 574, 607] [1, 29, 34, 52, 88, 101, 113, 134, 143, 170, 191, 229, 232, 259, 282, 325, 369, 373, 427, 451, 458, 550, 575, 608] [2, 30, 35, 53, 89, 102, 114, 135, 144, 171, 192, 230, 233, 260, 283, 326, 370, 374, 428, 452, 459, 551, 576, 609] [3, 31, 36, 54, 90, 103, 115, 136, 145, 172, 193, 231, 234, 261, 284, 327, 371, 375, 429, 453, 460, 552, 577, 610] [4, 32, 37, 55, 91, 104, 116, 137, 146, 173, 194, 232, 235, 262, 285, 328, 372, 376, 430, 454, 461, 553, 578, 611] [5, 33, 38, 56, 92, 105, 117, 138, 147, 174, 195, 233, 236, 263, 286, 329, 373, 377, 431, 455, 462, 554, 579, 612] [6, 34, 39, 57, 93, 106, 118, 139, 148, 175, 196, 234, 237, 264, 287, 330, 374, 378, 432, 456, 463, 555, 580, 613] [7, 35, 40, 58, 94, 107, 119, 140, 149, 176, 197, 235, 238, 265, 288, 331, 375, 379, 433, 457, 464, 556, 581, 614] [8, 36, 41, 59, 95, 108, 120, 141, 150, 177, 198, 236, 239, 266, 289, 332, 376, 380, 434, 458, 465, 557, 582, 615] [9, 37, 42, 60, 96, 109, 121, 142, 151, 178, 199, 237, 240, 267, 290, 333, 377, 381, 435, 459, 466, 558, 583, 616] [10, 38, 43, 61, 97, 110, 122, 143, 152, 179, 200, 238, 241, 268, 291, 334, 378, 382, 436, 460, 467, 559, 584, 617] [11, 39, 44, 62, 98, 111, 123, 144, 153, 180, 201, 239, 242, 269, 292, 335, 379, 383, 437, 461, 468, 560, 585, 618] [12, 40, 45, 63, 99, 112, 124, 145, 154, 181, 202, 240, 243, 270, 293, 336, 380, 384, 438, 462, 469, 561, 586, 619] [13, 41, 46, 64, 100, 113, 125, 146, 155, 182, 203, 241, 244, 271, 294, 337, 381, 385, 439, 463, 470, 562, 587, 620] [14, 42, 47, 65, 101, 114, 126, 147, 156, 183, 204, 242, 245, 272, 295, 338, 382, 386, 440, 464, 471, 563, 588, 621] [15, 43, 48, 66, 102, 115, 127, 148, 157, 184, 205, 243, 246, 273, 296, 339, 383, 387, 441, 465, 472, 564, 589, 622] [16, 44, 49, 67, 103, 116, 128, 149, 158, 185, 206, 244, 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Code ID 630-24-60 · download JSON · raw on GitHub