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[[630,40,84]] d ≤
n
630
k
40
d
84
kd²/n
448.0
w
22
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 84, d_Z ≤ 84 · w_X = 22, w_Z = 22 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 84 · witness weight 84 (claimed upper_bound)
witness operator (support, 84 qubits)
[1, 9, 10, 12, 16, 24, 25, 27, 31, 39, 40, 42, 46, 54, 55, 57, 61, 69, 70, 72, 76, 84, 85, 87, 91, 99, 100, 102, 106, 114, 115, 117, 121, 129, 130, 132, 136, 144, 145, 147, 151, 159, 160, 162, 166, 174, 175, 177, 181, 189, 190, 192, 196, 204, 205, 207, 211, 219, 220, 222, 226, 234, 235, 237, 241, 249, 250, 252, 256, 264, 265, 267, 271, 279, 280, 282, 286, 294, 295, 297, 301, 309, 310, 312]
d_Z 84 · witness weight 84 (claimed upper_bound)
witness operator (support, 84 qubits)
[318, 320, 321, 329, 333, 335, 336, 344, 348, 350, 351, 359, 363, 365, 366, 374, 378, 380, 381, 389, 393, 395, 396, 404, 408, 410, 411, 419, 423, 425, 426, 434, 438, 440, 441, 449, 453, 455, 456, 464, 468, 470, 471, 479, 483, 485, 486, 494, 498, 500, 501, 509, 513, 515, 516, 524, 528, 530, 531, 539, 543, 545, 546, 554, 558, 560, 561, 569, 573, 575, 576, 584, 588, 590, 591, 599, 603, 605, 606, 614, 618, 620, 621, 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 22 · H_Z 22
qubit degrees H_X 7–15 (mean 11.0) · H_Z 7–15 (mean 11.0)
trapping sets H_X (1,7)×315 (2,10)×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
(1,7): 315 (1,15): 315 (2,10): 630 (2,12): 5355 (2,18): 2520 (2,20): 28035 (2,24): 1575 (2,26): 6615 (2,28): 15120
trapping sets H_Z (1,7)×315 (2,10)×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
(1,7): 315 (1,15): 315 (2,10): 630 (2,12): 5355 (2,18): 2520 (2,20): 28035 (2,24): 1575 (2,26): 6615 (2,28): 15120

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) = x3 + x79 + x116 + x167 + x231 + x250 + x281, b(x) = x0 + x18 + x62 + x64 + x78 + x87 + x123 + x139 + x157 + x158 + x171 + x190 + x219 + x300 + x313; 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

[[630,40,84]] weight-22 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 22 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^3 + x^79 + x^116 + x^167 + x^231 + x^250 + x^281 b(x) = x^0 + x^18 + x^62 + x^64 + x^78 + x^87 + x^123 + x^139 + x^157 + x^158 + x^171 + x^190 + x^219 + x^300 + x^313 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 = 448.0 at check weight 22. 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 22) · Z-checks 315 (max weight 22)
H_X (315 checks, sparse supports)
[3, 79, 116, 167, 231, 250, 281, 315, 333, 377, 379, 393, 402, 438, 454, 472, 473, 486, 505, 534, 615, 628] [4, 80, 117, 168, 232, 251, 282, 316, 334, 378, 380, 394, 403, 439, 455, 473, 474, 487, 506, 535, 616, 629] [5, 81, 118, 169, 233, 252, 283, 315, 317, 335, 379, 381, 395, 404, 440, 456, 474, 475, 488, 507, 536, 617] [6, 82, 119, 170, 234, 253, 284, 316, 318, 336, 380, 382, 396, 405, 441, 457, 475, 476, 489, 508, 537, 618] [7, 83, 120, 171, 235, 254, 285, 317, 319, 337, 381, 383, 397, 406, 442, 458, 476, 477, 490, 509, 538, 619] [8, 84, 121, 172, 236, 255, 286, 318, 320, 338, 382, 384, 398, 407, 443, 459, 477, 478, 491, 510, 539, 620] [9, 85, 122, 173, 237, 256, 287, 319, 321, 339, 383, 385, 399, 408, 444, 460, 478, 479, 492, 511, 540, 621] [10, 86, 123, 174, 238, 257, 288, 320, 322, 340, 384, 386, 400, 409, 445, 461, 479, 480, 493, 512, 541, 622] [11, 87, 124, 175, 239, 258, 289, 321, 323, 341, 385, 387, 401, 410, 446, 462, 480, 481, 494, 513, 542, 623] [12, 88, 125, 176, 240, 259, 290, 322, 324, 342, 386, 388, 402, 411, 447, 463, 481, 482, 495, 514, 543, 624] [13, 89, 126, 177, 241, 260, 291, 323, 325, 343, 387, 389, 403, 412, 448, 464, 482, 483, 496, 515, 544, 625] [14, 90, 127, 178, 242, 261, 292, 324, 326, 344, 388, 390, 404, 413, 449, 465, 483, 484, 497, 516, 545, 626] [15, 91, 128, 179, 243, 262, 293, 325, 327, 345, 389, 391, 405, 414, 450, 466, 484, 485, 498, 517, 546, 627] [16, 92, 129, 180, 244, 263, 294, 326, 328, 346, 390, 392, 406, 415, 451, 467, 485, 486, 499, 518, 547, 628] [17, 93, 130, 181, 245, 264, 295, 327, 329, 347, 391, 393, 407, 416, 452, 468, 486, 487, 500, 519, 548, 629] [18, 94, 131, 182, 246, 265, 296, 315, 328, 330, 348, 392, 394, 408, 417, 453, 469, 487, 488, 501, 520, 549] [19, 95, 132, 183, 247, 266, 297, 316, 329, 331, 349, 393, 395, 409, 418, 454, 470, 488, 489, 502, 521, 550] [20, 96, 133, 184, 248, 267, 298, 317, 330, 332, 350, 394, 396, 410, 419, 455, 471, 489, 490, 503, 522, 551] [21, 97, 134, 185, 249, 268, 299, 318, 331, 333, 351, 395, 397, 411, 420, 456, 472, 490, 491, 504, 523, 552] [22, 98, 135, 186, 250, 269, 300, 319, 332, 334, 352, 396, 398, 412, 421, 457, 473, 491, 492, 505, 524, 553] [23, 99, 136, 187, 251, 270, 301, 320, 333, 335, 353, 397, 399, 413, 422, 458, 474, 492, 493, 506, 525, 554] [24, 100, 137, 188, 252, 271, 302, 321, 334, 336, 354, 398, 400, 414, 423, 459, 475, 493, 494, 507, 526, 555] [25, 101, 138, 189, 253, 272, 303, 322, 335, 337, 355, 399, 401, 415, 424, 460, 476, 494, 495, 508, 527, 556] [26, 102, 139, 190, 254, 273, 304, 323, 336, 338, 356, 400, 402, 416, 425, 461, 477, 495, 496, 509, 528, 557] [27, 103, 140, 191, 255, 274, 305, 324, 337, 339, 357, 401, 403, 417, 426, 462, 478, 496, 497, 510, 529, 558] [28, 104, 141, 192, 256, 275, 306, 325, 338, 340, 358, 402, 404, 418, 427, 463, 479, 497, 498, 511, 530, 559] [29, 105, 142, 193, 257, 276, 307, 326, 339, 341, 359, 403, 405, 419, 428, 464, 480, 498, 499, 512, 531, 560] [30, 106, 143, 194, 258, 277, 308, 327, 340, 342, 360, 404, 406, 420, 429, 465, 481, 499, 500, 513, 532, 561] [31, 107, 144, 195, 259, 278, 309, 328, 341, 343, 361, 405, 407, 421, 430, 466, 482, 500, 501, 514, 533, 562] [32, 108, 145, 196, 260, 279, 310, 329, 342, 344, 362, 406, 408, 422, 431, 467, 483, 501, 502, 515, 534, 563] [33, 109, 146, 197, 261, 280, 311, 330, 343, 345, 363, 407, 409, 423, 432, 468, 484, 502, 503, 516, 535, 564] [34, 110, 147, 198, 262, 281, 312, 331, 344, 346, 364, 408, 410, 424, 433, 469, 485, 503, 504, 517, 536, 565] [35, 111, 148, 199, 263, 282, 313, 332, 345, 347, 365, 409, 411, 425, 434, 470, 486, 504, 505, 518, 537, 566] [36, 112, 149, 200, 264, 283, 314, 333, 346, 348, 366, 410, 412, 426, 435, 471, 487, 505, 506, 519, 538, 567] [0, 37, 113, 150, 201, 265, 284, 334, 347, 349, 367, 411, 413, 427, 436, 472, 488, 506, 507, 520, 539, 568] [1, 38, 114, 151, 202, 266, 285, 335, 348, 350, 368, 412, 414, 428, 437, 473, 489, 507, 508, 521, 540, 569] [2, 39, 115, 152, 203, 267, 286, 336, 349, 351, 369, 413, 415, 429, 438, 474, 490, 508, 509, 522, 541, 570] [3, 40, 116, 153, 204, 268, 287, 337, 350, 352, 370, 414, 416, 430, 439, 475, 491, 509, 510, 523, 542, 571] [4, 41, 117, 154, 205, 269, 288, 338, 351, 353, 371, 415, 417, 431, 440, 476, 492, 510, 511, 524, 543, 572] [5, 42, 118, 155, 206, 270, 289, 339, 352, 354, 372, 416, 418, 432, 441, 477, 493, 511, 512, 525, 544, 573] [6, 43, 119, 156, 207, 271, 290, 340, 353, 355, 373, 417, 419, 433, 442, 478, 494, 512, 513, 526, 545, 574] [7, 44, 120, 157, 208, 272, 291, 341, 354, 356, 374, 418, 420, 434, 443, 479, 495, 513, 514, 527, 546, 575] [8, 45, 121, 158, 209, 273, 292, 342, 355, 357, 375, 419, 421, 435, 444, 480, 496, 514, 515, 528, 547, 576] [9, 46, 122, 159, 210, 274, 293, 343, 356, 358, 376, 420, 422, 436, 445, 481, 497, 515, 516, 529, 548, 577] [10, 47, 123, 160, 211, 275, 294, 344, 357, 359, 377, 421, 423, 437, 446, 482, 498, 516, 517, 530, 549, 578] [11, 48, 124, 161, 212, 276, 295, 345, 358, 360, 378, 422, 424, 438, 447, 483, 499, 517, 518, 531, 550, 579] [12, 49, 125, 162, 213, 277, 296, 346, 359, 361, 379, 423, 425, 439, 448, 484, 500, 518, 519, 532, 551, 580] [13, 50, 126, 163, 214, 278, 297, 347, 360, 362, 380, 424, 426, 440, 449, 485, 501, 519, 520, 533, 552, 581] [14, 51, 127, 164, 215, 279, 298, 348, 361, 363, 381, 425, 427, 441, 450, 486, 502, 520, 521, 534, 553, 582] [15, 52, 128, 165, 216, 280, 299, 349, 362, 364, 382, 426, 428, 442, 451, 487, 503, 521, 522, 535, 554, 583] [16, 53, 129, 166, 217, 281, 300, 350, 363, 365, 383, 427, 429, 443, 452, 488, 504, 522, 523, 536, 555, 584] [17, 54, 130, 167, 218, 282, 301, 351, 364, 366, 384, 428, 430, 444, 453, 489, 505, 523, 524, 537, 556, 585] [18, 55, 131, 168, 219, 283, 302, 352, 365, 367, 385, 429, 431, 445, 454, 490, 506, 524, 525, 538, 557, 586] [19, 56, 132, 169, 220, 284, 303, 353, 366, 368, 386, 430, 432, 446, 455, 491, 507, 525, 526, 539, 558, 587] [20, 57, 133, 170, 221, 285, 304, 354, 367, 369, 387, 431, 433, 447, 456, 492, 508, 526, 527, 540, 559, 588] [21, 58, 134, 171, 222, 286, 305, 355, 368, 370, 388, 432, 434, 448, 457, 493, 509, 527, 528, 541, 560, 589] [22, 59, 135, 172, 223, 287, 306, 356, 369, 371, 389, 433, 435, 449, 458, 494, 510, 528, 529, 542, 561, 590] [23, 60, 136, 173, 224, 288, 307, 357, 370, 372, 390, 434, 436, 450, 459, 495, 511, 529, 530, 543, 562, 591] [24, 61, 137, 174, 225, 289, 308, 358, 371, 373, 391, 435, 437, 451, 460, 496, 512, 530, 531, 544, 563, 592] [25, 62, 138, 175, 226, 290, 309, 359, 372, 374, 392, 436, 438, 452, 461, 497, 513, 531, 532, 545, 564, 593] [26, 63, 139, 176, 227, 291, 310, 360, 373, 375, 393, 437, 439, 453, 462, 498, 514, 532, 533, 546, 565, 594] [27, 64, 140, 177, 228, 292, 311, 361, 374, 376, 394, 438, 440, 454, 463, 499, 515, 533, 534, 547, 566, 595] [28, 65, 141, 178, 229, 293, 312, 362, 375, 377, 395, 439, 441, 455, 464, 500, 516, 534, 535, 548, 567, 596] [29, 66, 142, 179, 230, 294, 313, 363, 376, 378, 396, 440, 442, 456, 465, 501, 517, 535, 536, 549, 568, 597] [30, 67, 143, 180, 231, 295, 314, 364, 377, 379, 397, 441, 443, 457, 466, 502, 518, 536, 537, 550, 569, 598] [0, 31, 68, 144, 181, 232, 296, 365, 378, 380, 398, 442, 444, 458, 467, 503, 519, 537, 538, 551, 570, 599] [1, 32, 69, 145, 182, 233, 297, 366, 379, 381, 399, 443, 445, 459, 468, 504, 520, 538, 539, 552, 571, 600] [2, 33, 70, 146, 183, 234, 298, 367, 380, 382, 400, 444, 446, 460, 469, 505, 521, 539, 540, 553, 572, 601] [3, 34, 71, 147, 184, 235, 299, 368, 381, 383, 401, 445, 447, 461, 470, 506, 522, 540, 541, 554, 573, 602] [4, 35, 72, 148, 185, 236, 300, 369, 382, 384, 402, 446, 448, 462, 471, 507, 523, 541, 542, 555, 574, 603] [5, 36, 73, 149, 186, 237, 301, 370, 383, 385, 403, 447, 449, 463, 472, 508, 524, 542, 543, 556, 575, 604] [6, 37, 74, 150, 187, 238, 302, 371, 384, 386, 404, 448, 450, 464, 473, 509, 525, 543, 544, 557, 576, 605] [7, 38, 75, 151, 188, 239, 303, 372, 385, 387, 405, 449, 451, 465, 474, 510, 526, 544, 545, 558, 577, 606] [8, 39, 76, 152, 189, 240, 304, 373, 386, 388, 406, 450, 452, 466, 475, 511, 527, 545, 546, 559, 578, 607] [9, 40, 77, 153, 190, 241, 305, 374, 387, 389, 407, 451, 453, 467, 476, 512, 528, 546, 547, 560, 579, 608] [10, 41, 78, 154, 191, 242, 306, 375, 388, 390, 408, 452, 454, 468, 477, 513, 529, 547, 548, 561, 580, 609] [11, 42, 79, 155, 192, 243, 307, 376, 389, 391, 409, 453, 455, 469, 478, 514, 530, 548, 549, 562, 581, 610] [12, 43, 80, 156, 193, 244, 308, 377, 390, 392, 410, 454, 456, 470, 479, 515, 531, 549, 550, 563, 582, 611] [13, 44, 81, 157, 194, 245, 309, 378, 391, 393, 411, 455, 457, 471, 480, 516, 532, 550, 551, 564, 583, 612] [14, 45, 82, 158, 195, 246, 310, 379, 392, 394, 412, 456, 458, 472, 481, 517, 533, 551, 552, 565, 584, 613] [15, 46, 83, 159, 196, 247, 311, 380, 393, 395, 413, 457, 459, 473, 482, 518, 534, 552, 553, 566, 585, 614] [16, 47, 84, 160, 197, 248, 312, 381, 394, 396, 414, 458, 460, 474, 483, 519, 535, 553, 554, 567, 586, 615] [17, 48, 85, 161, 198, 249, 313, 382, 395, 397, 415, 459, 461, 475, 484, 520, 536, 554, 555, 568, 587, 616] [18, 49, 86, 162, 199, 250, 314, 383, 396, 398, 416, 460, 462, 476, 485, 521, 537, 555, 556, 569, 588, 617] [0, 19, 50, 87, 163, 200, 251, 384, 397, 399, 417, 461, 463, 477, 486, 522, 538, 556, 557, 570, 589, 618] [1, 20, 51, 88, 164, 201, 252, 385, 398, 400, 418, 462, 464, 478, 487, 523, 539, 557, 558, 571, 590, 619] [2, 21, 52, 89, 165, 202, 253, 386, 399, 401, 419, 463, 465, 479, 488, 524, 540, 558, 559, 572, 591, 620] [3, 22, 53, 90, 166, 203, 254, 387, 400, 402, 420, 464, 466, 480, 489, 525, 541, 559, 560, 573, 592, 621] [4, 23, 54, 91, 167, 204, 255, 388, 401, 403, 421, 465, 467, 481, 490, 526, 542, 560, 561, 574, 593, 622] [5, 24, 55, 92, 168, 205, 256, 389, 402, 404, 422, 466, 468, 482, 491, 527, 543, 561, 562, 575, 594, 623] [6, 25, 56, 93, 169, 206, 257, 390, 403, 405, 423, 467, 469, 483, 492, 528, 544, 562, 563, 576, 595, 624] [7, 26, 57, 94, 170, 207, 258, 391, 404, 406, 424, 468, 470, 484, 493, 529, 545, 563, 564, 577, 596, 625] [8, 27, 58, 95, 171, 208, 259, 392, 405, 407, 425, 469, 471, 485, 494, 530, 546, 564, 565, 578, 597, 626] [9, 28, 59, 96, 172, 209, 260, 393, 406, 408, 426, 470, 472, 486, 495, 531, 547, 565, 566, 579, 598, 627] [10, 29, 60, 97, 173, 210, 261, 394, 407, 409, 427, 471, 473, 487, 496, 532, 548, 566, 567, 580, 599, 628] [11, 30, 61, 98, 174, 211, 262, 395, 408, 410, 428, 472, 474, 488, 497, 533, 549, 567, 568, 581, 600, 629] [12, 31, 62, 99, 175, 212, 263, 315, 396, 409, 411, 429, 473, 475, 489, 498, 534, 550, 568, 569, 582, 601] [13, 32, 63, 100, 176, 213, 264, 316, 397, 410, 412, 430, 474, 476, 490, 499, 535, 551, 569, 570, 583, 602] [14, 33, 64, 101, 177, 214, 265, 317, 398, 411, 413, 431, 475, 477, 491, 500, 536, 552, 570, 571, 584, 603] [15, 34, 65, 102, 178, 215, 266, 318, 399, 412, 414, 432, 476, 478, 492, 501, 537, 553, 571, 572, 585, 604] [16, 35, 66, 103, 179, 216, 267, 319, 400, 413, 415, 433, 477, 479, 493, 502, 538, 554, 572, 573, 586, 605] [17, 36, 67, 104, 180, 217, 268, 320, 401, 414, 416, 434, 478, 480, 494, 503, 539, 555, 573, 574, 587, 606] [18, 37, 68, 105, 181, 218, 269, 321, 402, 415, 417, 435, 479, 481, 495, 504, 540, 556, 574, 575, 588, 607] [19, 38, 69, 106, 182, 219, 270, 322, 403, 416, 418, 436, 480, 482, 496, 505, 541, 557, 575, 576, 589, 608] [20, 39, 70, 107, 183, 220, 271, 323, 404, 417, 419, 437, 481, 483, 497, 506, 542, 558, 576, 577, 590, 609] [21, 40, 71, 108, 184, 221, 272, 324, 405, 418, 420, 438, 482, 484, 498, 507, 543, 559, 577, 578, 591, 610] [22, 41, 72, 109, 185, 222, 273, 325, 406, 419, 421, 439, 483, 485, 499, 508, 544, 560, 578, 579, 592, 611] [23, 42, 73, 110, 186, 223, 274, 326, 407, 420, 422, 440, 484, 486, 500, 509, 545, 561, 579, 580, 593, 612] [24, 43, 74, 111, 187, 224, 275, 327, 408, 421, 423, 441, 485, 487, 501, 510, 546, 562, 580, 581, 594, 613] [25, 44, 75, 112, 188, 225, 276, 328, 409, 422, 424, 442, 486, 488, 502, 511, 547, 563, 581, 582, 595, 614] [26, 45, 76, 113, 189, 226, 277, 329, 410, 423, 425, 443, 487, 489, 503, 512, 548, 564, 582, 583, 596, 615] [27, 46, 77, 114, 190, 227, 278, 330, 411, 424, 426, 444, 488, 490, 504, 513, 549, 565, 583, 584, 597, 616] [28, 47, 78, 115, 191, 228, 279, 331, 412, 425, 427, 445, 489, 491, 505, 514, 550, 566, 584, 585, 598, 617] [29, 48, 79, 116, 192, 229, 280, 332, 413, 426, 428, 446, 490, 492, 506, 515, 551, 567, 585, 586, 599, 618] [30, 49, 80, 117, 193, 230, 281, 333, 414, 427, 429, 447, 491, 493, 507, 516, 552, 568, 586, 587, 600, 619] [31, 50, 81, 118, 194, 231, 282, 334, 415, 428, 430, 448, 492, 494, 508, 517, 553, 569, 587, 588, 601, 620] [32, 51, 82, 119, 195, 232, 283, 335, 416, 429, 431, 449, 493, 495, 509, 518, 554, 570, 588, 589, 602, 621] [33, 52, 83, 120, 196, 233, 284, 336, 417, 430, 432, 450, 494, 496, 510, 519, 555, 571, 589, 590, 603, 622] [34, 53, 84, 121, 197, 234, 285, 337, 418, 431, 433, 451, 495, 497, 511, 520, 556, 572, 590, 591, 604, 623] [35, 54, 85, 122, 198, 235, 286, 338, 419, 432, 434, 452, 496, 498, 512, 521, 557, 573, 591, 592, 605, 624] [36, 55, 86, 123, 199, 236, 287, 339, 420, 433, 435, 453, 497, 499, 513, 522, 558, 574, 592, 593, 606, 625] [37, 56, 87, 124, 200, 237, 288, 340, 421, 434, 436, 454, 498, 500, 514, 523, 559, 575, 593, 594, 607, 626] [38, 57, 88, 125, 201, 238, 289, 341, 422, 435, 437, 455, 499, 501, 515, 524, 560, 576, 594, 595, 608, 627] [39, 58, 89, 126, 202, 239, 290, 342, 423, 436, 438, 456, 500, 502, 516, 525, 561, 577, 595, 596, 609, 628] [40, 59, 90, 127, 203, 240, 291, 343, 424, 437, 439, 457, 501, 503, 517, 526, 562, 578, 596, 597, 610, 629] [41, 60, 91, 128, 204, 241, 292, 315, 344, 425, 438, 440, 458, 502, 504, 518, 527, 563, 579, 597, 598, 611] [42, 61, 92, 129, 205, 242, 293, 316, 345, 426, 439, 441, 459, 503, 505, 519, 528, 564, 580, 598, 599, 612] [43, 62, 93, 130, 206, 243, 294, 317, 346, 427, 440, 442, 460, 504, 506, 520, 529, 565, 581, 599, 600, 613] [44, 63, 94, 131, 207, 244, 295, 318, 347, 428, 441, 443, 461, 505, 507, 521, 530, 566, 582, 600, 601, 614] [45, 64, 95, 132, 208, 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[22, 59, 110, 174, 193, 224, 261, 320, 322, 336, 345, 381, 397, 415, 416, 429, 448, 477, 558, 571, 573, 591] [23, 60, 111, 175, 194, 225, 262, 321, 323, 337, 346, 382, 398, 416, 417, 430, 449, 478, 559, 572, 574, 592] [24, 61, 112, 176, 195, 226, 263, 322, 324, 338, 347, 383, 399, 417, 418, 431, 450, 479, 560, 573, 575, 593] [25, 62, 113, 177, 196, 227, 264, 323, 325, 339, 348, 384, 400, 418, 419, 432, 451, 480, 561, 574, 576, 594] [26, 63, 114, 178, 197, 228, 265, 324, 326, 340, 349, 385, 401, 419, 420, 433, 452, 481, 562, 575, 577, 595] [27, 64, 115, 179, 198, 229, 266, 325, 327, 341, 350, 386, 402, 420, 421, 434, 453, 482, 563, 576, 578, 596] [28, 65, 116, 180, 199, 230, 267, 326, 328, 342, 351, 387, 403, 421, 422, 435, 454, 483, 564, 577, 579, 597] [29, 66, 117, 181, 200, 231, 268, 327, 329, 343, 352, 388, 404, 422, 423, 436, 455, 484, 565, 578, 580, 598] [30, 67, 118, 182, 201, 232, 269, 328, 330, 344, 353, 389, 405, 423, 424, 437, 456, 485, 566, 579, 581, 599] [31, 68, 119, 183, 202, 233, 270, 329, 331, 345, 354, 390, 406, 424, 425, 438, 457, 486, 567, 580, 582, 600] [32, 69, 120, 184, 203, 234, 271, 330, 332, 346, 355, 391, 407, 425, 426, 439, 458, 487, 568, 581, 583, 601] [33, 70, 121, 185, 204, 235, 272, 331, 333, 347, 356, 392, 408, 426, 427, 440, 459, 488, 569, 582, 584, 602] [34, 71, 122, 186, 205, 236, 273, 332, 334, 348, 357, 393, 409, 427, 428, 441, 460, 489, 570, 583, 585, 603] [35, 72, 123, 187, 206, 237, 274, 333, 335, 349, 358, 394, 410, 428, 429, 442, 461, 490, 571, 584, 586, 604] [36, 73, 124, 188, 207, 238, 275, 334, 336, 350, 359, 395, 411, 429, 430, 443, 462, 491, 572, 585, 587, 605] [37, 74, 125, 189, 208, 239, 276, 335, 337, 351, 360, 396, 412, 430, 431, 444, 463, 492, 573, 586, 588, 606] [38, 75, 126, 190, 209, 240, 277, 336, 338, 352, 361, 397, 413, 431, 432, 445, 464, 493, 574, 587, 589, 607] [39, 76, 127, 191, 210, 241, 278, 337, 339, 353, 362, 398, 414, 432, 433, 446, 465, 494, 575, 588, 590, 608] [40, 77, 128, 192, 211, 242, 279, 338, 340, 354, 363, 399, 415, 433, 434, 447, 466, 495, 576, 589, 591, 609] [41, 78, 129, 193, 212, 243, 280, 339, 341, 355, 364, 400, 416, 434, 435, 448, 467, 496, 577, 590, 592, 610] [42, 79, 130, 194, 213, 244, 281, 340, 342, 356, 365, 401, 417, 435, 436, 449, 468, 497, 578, 591, 593, 611] [43, 80, 131, 195, 214, 245, 282, 341, 343, 357, 366, 402, 418, 436, 437, 450, 469, 498, 579, 592, 594, 612] [44, 81, 132, 196, 215, 246, 283, 342, 344, 358, 367, 403, 419, 437, 438, 451, 470, 499, 580, 593, 595, 613] [45, 82, 133, 197, 216, 247, 284, 343, 345, 359, 368, 404, 420, 438, 439, 452, 471, 500, 581, 594, 596, 614] [46, 83, 134, 198, 217, 248, 285, 344, 346, 360, 369, 405, 421, 439, 440, 453, 472, 501, 582, 595, 597, 615] [47, 84, 135, 199, 218, 249, 286, 345, 347, 361, 370, 406, 422, 440, 441, 454, 473, 502, 583, 596, 598, 616] [48, 85, 136, 200, 219, 250, 287, 346, 348, 362, 371, 407, 423, 441, 442, 455, 474, 503, 584, 597, 599, 617] [49, 86, 137, 201, 220, 251, 288, 347, 349, 363, 372, 408, 424, 442, 443, 456, 475, 504, 585, 598, 600, 618] [50, 87, 138, 202, 221, 252, 289, 348, 350, 364, 373, 409, 425, 443, 444, 457, 476, 505, 586, 599, 601, 619] [51, 88, 139, 203, 222, 253, 290, 349, 351, 365, 374, 410, 426, 444, 445, 458, 477, 506, 587, 600, 602, 620] [52, 89, 140, 204, 223, 254, 291, 350, 352, 366, 375, 411, 427, 445, 446, 459, 478, 507, 588, 601, 603, 621] [53, 90, 141, 205, 224, 255, 292, 351, 353, 367, 376, 412, 428, 446, 447, 460, 479, 508, 589, 602, 604, 622] [54, 91, 142, 206, 225, 256, 293, 352, 354, 368, 377, 413, 429, 447, 448, 461, 480, 509, 590, 603, 605, 623] [55, 92, 143, 207, 226, 257, 294, 353, 355, 369, 378, 414, 430, 448, 449, 462, 481, 510, 591, 604, 606, 624] [56, 93, 144, 208, 227, 258, 295, 354, 356, 370, 379, 415, 431, 449, 450, 463, 482, 511, 592, 605, 607, 625] [57, 94, 145, 209, 228, 259, 296, 355, 357, 371, 380, 416, 432, 450, 451, 464, 483, 512, 593, 606, 608, 626] [58, 95, 146, 210, 229, 260, 297, 356, 358, 372, 381, 417, 433, 451, 452, 465, 484, 513, 594, 607, 609, 627] [59, 96, 147, 211, 230, 261, 298, 357, 359, 373, 382, 418, 434, 452, 453, 466, 485, 514, 595, 608, 610, 628] [60, 97, 148, 212, 231, 262, 299, 358, 360, 374, 383, 419, 435, 453, 454, 467, 486, 515, 596, 609, 611, 629] [61, 98, 149, 213, 232, 263, 300, 315, 359, 361, 375, 384, 420, 436, 454, 455, 468, 487, 516, 597, 610, 612] [62, 99, 150, 214, 233, 264, 301, 316, 360, 362, 376, 385, 421, 437, 455, 456, 469, 488, 517, 598, 611, 613] [63, 100, 151, 215, 234, 265, 302, 317, 361, 363, 377, 386, 422, 438, 456, 457, 470, 489, 518, 599, 612, 614] [64, 101, 152, 216, 235, 266, 303, 318, 362, 364, 378, 387, 423, 439, 457, 458, 471, 490, 519, 600, 613, 615] [65, 102, 153, 217, 236, 267, 304, 319, 363, 365, 379, 388, 424, 440, 458, 459, 472, 491, 520, 601, 614, 616] [66, 103, 154, 218, 237, 268, 305, 320, 364, 366, 380, 389, 425, 441, 459, 460, 473, 492, 521, 602, 615, 617] [67, 104, 155, 219, 238, 269, 306, 321, 365, 367, 381, 390, 426, 442, 460, 461, 474, 493, 522, 603, 616, 618] [68, 105, 156, 220, 239, 270, 307, 322, 366, 368, 382, 391, 427, 443, 461, 462, 475, 494, 523, 604, 617, 619] [69, 106, 157, 221, 240, 271, 308, 323, 367, 369, 383, 392, 428, 444, 462, 463, 476, 495, 524, 605, 618, 620] [70, 107, 158, 222, 241, 272, 309, 324, 368, 370, 384, 393, 429, 445, 463, 464, 477, 496, 525, 606, 619, 621] [71, 108, 159, 223, 242, 273, 310, 325, 369, 371, 385, 394, 430, 446, 464, 465, 478, 497, 526, 607, 620, 622] [72, 109, 160, 224, 243, 274, 311, 326, 370, 372, 386, 395, 431, 447, 465, 466, 479, 498, 527, 608, 621, 623] [73, 110, 161, 225, 244, 275, 312, 327, 371, 373, 387, 396, 432, 448, 466, 467, 480, 499, 528, 609, 622, 624] [74, 111, 162, 226, 245, 276, 313, 328, 372, 374, 388, 397, 433, 449, 467, 468, 481, 500, 529, 610, 623, 625] [75, 112, 163, 227, 246, 277, 314, 329, 373, 375, 389, 398, 434, 450, 468, 469, 482, 501, 530, 611, 624, 626] [0, 76, 113, 164, 228, 247, 278, 330, 374, 376, 390, 399, 435, 451, 469, 470, 483, 502, 531, 612, 625, 627] [1, 77, 114, 165, 229, 248, 279, 331, 375, 377, 391, 400, 436, 452, 470, 471, 484, 503, 532, 613, 626, 628] [2, 78, 115, 166, 230, 249, 280, 332, 376, 378, 392, 401, 437, 453, 471, 472, 485, 504, 533, 614, 627, 629]
H_Z (315 checks, sparse supports)
[0, 2, 15, 96, 125, 144, 157, 158, 176, 192, 228, 237, 251, 253, 297, 349, 380, 399, 463, 514, 551, 627] [1, 3, 16, 97, 126, 145, 158, 159, 177, 193, 229, 238, 252, 254, 298, 350, 381, 400, 464, 515, 552, 628] [2, 4, 17, 98, 127, 146, 159, 160, 178, 194, 230, 239, 253, 255, 299, 351, 382, 401, 465, 516, 553, 629] [3, 5, 18, 99, 128, 147, 160, 161, 179, 195, 231, 240, 254, 256, 300, 315, 352, 383, 402, 466, 517, 554] [4, 6, 19, 100, 129, 148, 161, 162, 180, 196, 232, 241, 255, 257, 301, 316, 353, 384, 403, 467, 518, 555] [5, 7, 20, 101, 130, 149, 162, 163, 181, 197, 233, 242, 256, 258, 302, 317, 354, 385, 404, 468, 519, 556] [6, 8, 21, 102, 131, 150, 163, 164, 182, 198, 234, 243, 257, 259, 303, 318, 355, 386, 405, 469, 520, 557] [7, 9, 22, 103, 132, 151, 164, 165, 183, 199, 235, 244, 258, 260, 304, 319, 356, 387, 406, 470, 521, 558] [8, 10, 23, 104, 133, 152, 165, 166, 184, 200, 236, 245, 259, 261, 305, 320, 357, 388, 407, 471, 522, 559] [9, 11, 24, 105, 134, 153, 166, 167, 185, 201, 237, 246, 260, 262, 306, 321, 358, 389, 408, 472, 523, 560] [10, 12, 25, 106, 135, 154, 167, 168, 186, 202, 238, 247, 261, 263, 307, 322, 359, 390, 409, 473, 524, 561] [11, 13, 26, 107, 136, 155, 168, 169, 187, 203, 239, 248, 262, 264, 308, 323, 360, 391, 410, 474, 525, 562] [12, 14, 27, 108, 137, 156, 169, 170, 188, 204, 240, 249, 263, 265, 309, 324, 361, 392, 411, 475, 526, 563] [13, 15, 28, 109, 138, 157, 170, 171, 189, 205, 241, 250, 264, 266, 310, 325, 362, 393, 412, 476, 527, 564] [14, 16, 29, 110, 139, 158, 171, 172, 190, 206, 242, 251, 265, 267, 311, 326, 363, 394, 413, 477, 528, 565] [15, 17, 30, 111, 140, 159, 172, 173, 191, 207, 243, 252, 266, 268, 312, 327, 364, 395, 414, 478, 529, 566] [16, 18, 31, 112, 141, 160, 173, 174, 192, 208, 244, 253, 267, 269, 313, 328, 365, 396, 415, 479, 530, 567] [17, 19, 32, 113, 142, 161, 174, 175, 193, 209, 245, 254, 268, 270, 314, 329, 366, 397, 416, 480, 531, 568] [0, 18, 20, 33, 114, 143, 162, 175, 176, 194, 210, 246, 255, 269, 271, 330, 367, 398, 417, 481, 532, 569] [1, 19, 21, 34, 115, 144, 163, 176, 177, 195, 211, 247, 256, 270, 272, 331, 368, 399, 418, 482, 533, 570] [2, 20, 22, 35, 116, 145, 164, 177, 178, 196, 212, 248, 257, 271, 273, 332, 369, 400, 419, 483, 534, 571] [3, 21, 23, 36, 117, 146, 165, 178, 179, 197, 213, 249, 258, 272, 274, 333, 370, 401, 420, 484, 535, 572] [4, 22, 24, 37, 118, 147, 166, 179, 180, 198, 214, 250, 259, 273, 275, 334, 371, 402, 421, 485, 536, 573] [5, 23, 25, 38, 119, 148, 167, 180, 181, 199, 215, 251, 260, 274, 276, 335, 372, 403, 422, 486, 537, 574] [6, 24, 26, 39, 120, 149, 168, 181, 182, 200, 216, 252, 261, 275, 277, 336, 373, 404, 423, 487, 538, 575] [7, 25, 27, 40, 121, 150, 169, 182, 183, 201, 217, 253, 262, 276, 278, 337, 374, 405, 424, 488, 539, 576] [8, 26, 28, 41, 122, 151, 170, 183, 184, 202, 218, 254, 263, 277, 279, 338, 375, 406, 425, 489, 540, 577] [9, 27, 29, 42, 123, 152, 171, 184, 185, 203, 219, 255, 264, 278, 280, 339, 376, 407, 426, 490, 541, 578] [10, 28, 30, 43, 124, 153, 172, 185, 186, 204, 220, 256, 265, 279, 281, 340, 377, 408, 427, 491, 542, 579] [11, 29, 31, 44, 125, 154, 173, 186, 187, 205, 221, 257, 266, 280, 282, 341, 378, 409, 428, 492, 543, 580] [12, 30, 32, 45, 126, 155, 174, 187, 188, 206, 222, 258, 267, 281, 283, 342, 379, 410, 429, 493, 544, 581] [13, 31, 33, 46, 127, 156, 175, 188, 189, 207, 223, 259, 268, 282, 284, 343, 380, 411, 430, 494, 545, 582] [14, 32, 34, 47, 128, 157, 176, 189, 190, 208, 224, 260, 269, 283, 285, 344, 381, 412, 431, 495, 546, 583] [15, 33, 35, 48, 129, 158, 177, 190, 191, 209, 225, 261, 270, 284, 286, 345, 382, 413, 432, 496, 547, 584] [16, 34, 36, 49, 130, 159, 178, 191, 192, 210, 226, 262, 271, 285, 287, 346, 383, 414, 433, 497, 548, 585] [17, 35, 37, 50, 131, 160, 179, 192, 193, 211, 227, 263, 272, 286, 288, 347, 384, 415, 434, 498, 549, 586] [18, 36, 38, 51, 132, 161, 180, 193, 194, 212, 228, 264, 273, 287, 289, 348, 385, 416, 435, 499, 550, 587] [19, 37, 39, 52, 133, 162, 181, 194, 195, 213, 229, 265, 274, 288, 290, 349, 386, 417, 436, 500, 551, 588] [20, 38, 40, 53, 134, 163, 182, 195, 196, 214, 230, 266, 275, 289, 291, 350, 387, 418, 437, 501, 552, 589] [21, 39, 41, 54, 135, 164, 183, 196, 197, 215, 231, 267, 276, 290, 292, 351, 388, 419, 438, 502, 553, 590] [22, 40, 42, 55, 136, 165, 184, 197, 198, 216, 232, 268, 277, 291, 293, 352, 389, 420, 439, 503, 554, 591] [23, 41, 43, 56, 137, 166, 185, 198, 199, 217, 233, 269, 278, 292, 294, 353, 390, 421, 440, 504, 555, 592] [24, 42, 44, 57, 138, 167, 186, 199, 200, 218, 234, 270, 279, 293, 295, 354, 391, 422, 441, 505, 556, 593] [25, 43, 45, 58, 139, 168, 187, 200, 201, 219, 235, 271, 280, 294, 296, 355, 392, 423, 442, 506, 557, 594] [26, 44, 46, 59, 140, 169, 188, 201, 202, 220, 236, 272, 281, 295, 297, 356, 393, 424, 443, 507, 558, 595] [27, 45, 47, 60, 141, 170, 189, 202, 203, 221, 237, 273, 282, 296, 298, 357, 394, 425, 444, 508, 559, 596] [28, 46, 48, 61, 142, 171, 190, 203, 204, 222, 238, 274, 283, 297, 299, 358, 395, 426, 445, 509, 560, 597] [29, 47, 49, 62, 143, 172, 191, 204, 205, 223, 239, 275, 284, 298, 300, 359, 396, 427, 446, 510, 561, 598] [30, 48, 50, 63, 144, 173, 192, 205, 206, 224, 240, 276, 285, 299, 301, 360, 397, 428, 447, 511, 562, 599] [31, 49, 51, 64, 145, 174, 193, 206, 207, 225, 241, 277, 286, 300, 302, 361, 398, 429, 448, 512, 563, 600] [32, 50, 52, 65, 146, 175, 194, 207, 208, 226, 242, 278, 287, 301, 303, 362, 399, 430, 449, 513, 564, 601] [33, 51, 53, 66, 147, 176, 195, 208, 209, 227, 243, 279, 288, 302, 304, 363, 400, 431, 450, 514, 565, 602] [34, 52, 54, 67, 148, 177, 196, 209, 210, 228, 244, 280, 289, 303, 305, 364, 401, 432, 451, 515, 566, 603] [35, 53, 55, 68, 149, 178, 197, 210, 211, 229, 245, 281, 290, 304, 306, 365, 402, 433, 452, 516, 567, 604] [36, 54, 56, 69, 150, 179, 198, 211, 212, 230, 246, 282, 291, 305, 307, 366, 403, 434, 453, 517, 568, 605] [37, 55, 57, 70, 151, 180, 199, 212, 213, 231, 247, 283, 292, 306, 308, 367, 404, 435, 454, 518, 569, 606] [38, 56, 58, 71, 152, 181, 200, 213, 214, 232, 248, 284, 293, 307, 309, 368, 405, 436, 455, 519, 570, 607] [39, 57, 59, 72, 153, 182, 201, 214, 215, 233, 249, 285, 294, 308, 310, 369, 406, 437, 456, 520, 571, 608] [40, 58, 60, 73, 154, 183, 202, 215, 216, 234, 250, 286, 295, 309, 311, 370, 407, 438, 457, 521, 572, 609] [41, 59, 61, 74, 155, 184, 203, 216, 217, 235, 251, 287, 296, 310, 312, 371, 408, 439, 458, 522, 573, 610] [42, 60, 62, 75, 156, 185, 204, 217, 218, 236, 252, 288, 297, 311, 313, 372, 409, 440, 459, 523, 574, 611] [43, 61, 63, 76, 157, 186, 205, 218, 219, 237, 253, 289, 298, 312, 314, 373, 410, 441, 460, 524, 575, 612] [0, 44, 62, 64, 77, 158, 187, 206, 219, 220, 238, 254, 290, 299, 313, 374, 411, 442, 461, 525, 576, 613] [1, 45, 63, 65, 78, 159, 188, 207, 220, 221, 239, 255, 291, 300, 314, 375, 412, 443, 462, 526, 577, 614] [0, 2, 46, 64, 66, 79, 160, 189, 208, 221, 222, 240, 256, 292, 301, 376, 413, 444, 463, 527, 578, 615] [1, 3, 47, 65, 67, 80, 161, 190, 209, 222, 223, 241, 257, 293, 302, 377, 414, 445, 464, 528, 579, 616] [2, 4, 48, 66, 68, 81, 162, 191, 210, 223, 224, 242, 258, 294, 303, 378, 415, 446, 465, 529, 580, 617] [3, 5, 49, 67, 69, 82, 163, 192, 211, 224, 225, 243, 259, 295, 304, 379, 416, 447, 466, 530, 581, 618] [4, 6, 50, 68, 70, 83, 164, 193, 212, 225, 226, 244, 260, 296, 305, 380, 417, 448, 467, 531, 582, 619] [5, 7, 51, 69, 71, 84, 165, 194, 213, 226, 227, 245, 261, 297, 306, 381, 418, 449, 468, 532, 583, 620] [6, 8, 52, 70, 72, 85, 166, 195, 214, 227, 228, 246, 262, 298, 307, 382, 419, 450, 469, 533, 584, 621] [7, 9, 53, 71, 73, 86, 167, 196, 215, 228, 229, 247, 263, 299, 308, 383, 420, 451, 470, 534, 585, 622] [8, 10, 54, 72, 74, 87, 168, 197, 216, 229, 230, 248, 264, 300, 309, 384, 421, 452, 471, 535, 586, 623] [9, 11, 55, 73, 75, 88, 169, 198, 217, 230, 231, 249, 265, 301, 310, 385, 422, 453, 472, 536, 587, 624] [10, 12, 56, 74, 76, 89, 170, 199, 218, 231, 232, 250, 266, 302, 311, 386, 423, 454, 473, 537, 588, 625] [11, 13, 57, 75, 77, 90, 171, 200, 219, 232, 233, 251, 267, 303, 312, 387, 424, 455, 474, 538, 589, 626] [12, 14, 58, 76, 78, 91, 172, 201, 220, 233, 234, 252, 268, 304, 313, 388, 425, 456, 475, 539, 590, 627] [13, 15, 59, 77, 79, 92, 173, 202, 221, 234, 235, 253, 269, 305, 314, 389, 426, 457, 476, 540, 591, 628] [0, 14, 16, 60, 78, 80, 93, 174, 203, 222, 235, 236, 254, 270, 306, 390, 427, 458, 477, 541, 592, 629] [1, 15, 17, 61, 79, 81, 94, 175, 204, 223, 236, 237, 255, 271, 307, 315, 391, 428, 459, 478, 542, 593] [2, 16, 18, 62, 80, 82, 95, 176, 205, 224, 237, 238, 256, 272, 308, 316, 392, 429, 460, 479, 543, 594] [3, 17, 19, 63, 81, 83, 96, 177, 206, 225, 238, 239, 257, 273, 309, 317, 393, 430, 461, 480, 544, 595] [4, 18, 20, 64, 82, 84, 97, 178, 207, 226, 239, 240, 258, 274, 310, 318, 394, 431, 462, 481, 545, 596] [5, 19, 21, 65, 83, 85, 98, 179, 208, 227, 240, 241, 259, 275, 311, 319, 395, 432, 463, 482, 546, 597] [6, 20, 22, 66, 84, 86, 99, 180, 209, 228, 241, 242, 260, 276, 312, 320, 396, 433, 464, 483, 547, 598] [7, 21, 23, 67, 85, 87, 100, 181, 210, 229, 242, 243, 261, 277, 313, 321, 397, 434, 465, 484, 548, 599] [8, 22, 24, 68, 86, 88, 101, 182, 211, 230, 243, 244, 262, 278, 314, 322, 398, 435, 466, 485, 549, 600] [0, 9, 23, 25, 69, 87, 89, 102, 183, 212, 231, 244, 245, 263, 279, 323, 399, 436, 467, 486, 550, 601] [1, 10, 24, 26, 70, 88, 90, 103, 184, 213, 232, 245, 246, 264, 280, 324, 400, 437, 468, 487, 551, 602] [2, 11, 25, 27, 71, 89, 91, 104, 185, 214, 233, 246, 247, 265, 281, 325, 401, 438, 469, 488, 552, 603] [3, 12, 26, 28, 72, 90, 92, 105, 186, 215, 234, 247, 248, 266, 282, 326, 402, 439, 470, 489, 553, 604] [4, 13, 27, 29, 73, 91, 93, 106, 187, 216, 235, 248, 249, 267, 283, 327, 403, 440, 471, 490, 554, 605] [5, 14, 28, 30, 74, 92, 94, 107, 188, 217, 236, 249, 250, 268, 284, 328, 404, 441, 472, 491, 555, 606] [6, 15, 29, 31, 75, 93, 95, 108, 189, 218, 237, 250, 251, 269, 285, 329, 405, 442, 473, 492, 556, 607] [7, 16, 30, 32, 76, 94, 96, 109, 190, 219, 238, 251, 252, 270, 286, 330, 406, 443, 474, 493, 557, 608] [8, 17, 31, 33, 77, 95, 97, 110, 191, 220, 239, 252, 253, 271, 287, 331, 407, 444, 475, 494, 558, 609] [9, 18, 32, 34, 78, 96, 98, 111, 192, 221, 240, 253, 254, 272, 288, 332, 408, 445, 476, 495, 559, 610] [10, 19, 33, 35, 79, 97, 99, 112, 193, 222, 241, 254, 255, 273, 289, 333, 409, 446, 477, 496, 560, 611] [11, 20, 34, 36, 80, 98, 100, 113, 194, 223, 242, 255, 256, 274, 290, 334, 410, 447, 478, 497, 561, 612] [12, 21, 35, 37, 81, 99, 101, 114, 195, 224, 243, 256, 257, 275, 291, 335, 411, 448, 479, 498, 562, 613] [13, 22, 36, 38, 82, 100, 102, 115, 196, 225, 244, 257, 258, 276, 292, 336, 412, 449, 480, 499, 563, 614] [14, 23, 37, 39, 83, 101, 103, 116, 197, 226, 245, 258, 259, 277, 293, 337, 413, 450, 481, 500, 564, 615] [15, 24, 38, 40, 84, 102, 104, 117, 198, 227, 246, 259, 260, 278, 294, 338, 414, 451, 482, 501, 565, 616] [16, 25, 39, 41, 85, 103, 105, 118, 199, 228, 247, 260, 261, 279, 295, 339, 415, 452, 483, 502, 566, 617] [17, 26, 40, 42, 86, 104, 106, 119, 200, 229, 248, 261, 262, 280, 296, 340, 416, 453, 484, 503, 567, 618] [18, 27, 41, 43, 87, 105, 107, 120, 201, 230, 249, 262, 263, 281, 297, 341, 417, 454, 485, 504, 568, 619] [19, 28, 42, 44, 88, 106, 108, 121, 202, 231, 250, 263, 264, 282, 298, 342, 418, 455, 486, 505, 569, 620] [20, 29, 43, 45, 89, 107, 109, 122, 203, 232, 251, 264, 265, 283, 299, 343, 419, 456, 487, 506, 570, 621] [21, 30, 44, 46, 90, 108, 110, 123, 204, 233, 252, 265, 266, 284, 300, 344, 420, 457, 488, 507, 571, 622] [22, 31, 45, 47, 91, 109, 111, 124, 205, 234, 253, 266, 267, 285, 301, 345, 421, 458, 489, 508, 572, 623] [23, 32, 46, 48, 92, 110, 112, 125, 206, 235, 254, 267, 268, 286, 302, 346, 422, 459, 490, 509, 573, 624] [24, 33, 47, 49, 93, 111, 113, 126, 207, 236, 255, 268, 269, 287, 303, 347, 423, 460, 491, 510, 574, 625] [25, 34, 48, 50, 94, 112, 114, 127, 208, 237, 256, 269, 270, 288, 304, 348, 424, 461, 492, 511, 575, 626] [26, 35, 49, 51, 95, 113, 115, 128, 209, 238, 257, 270, 271, 289, 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Code ID 630-40-84 · download JSON · raw on GitHub