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[[690,12,110]] d ≤
n
690
k
12
d
110
kd²/n
210.435
w
22
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 110, d_Z ≤ 110 · 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 110 · witness weight 110 (claimed upper_bound)
witness operator (support, 110 qubits)
[5, 10, 25, 28, 29, 39, 57, 58, 60, 61, 65, 70, 77, 79, 98, 99, 114, 127, 133, 158, 165, 172, 184, 210, 212, 231, 235, 243, 246, 251, 254, 260, 261, 263, 264, 266, 274, 275, 277, 280, 281, 283, 286, 289, 290, 314, 316, 320, 323, 327, 330, 331, 334, 339, 352, 357, 359, 371, 377, 382, 383, 393, 395, 396, 401, 408, 409, 423, 425, 443, 446, 452, 467, 470, 474, 482, 490, 498, 499, 504, 505, 506, 512, 516, 522, 532, 537, 543, 547, 548, 559, 564, 565, 566, 579, 591, 595, 600, 631, 633, 640, 643, 653, 655, 656, 665, 666, 670, 682, 684]
d_Z 110 · witness weight 110 (claimed upper_bound)
witness operator (support, 110 qubits)
[6, 8, 20, 24, 25, 34, 35, 37, 47, 50, 57, 59, 90, 95, 99, 111, 124, 125, 126, 131, 142, 143, 147, 153, 158, 168, 174, 178, 184, 185, 186, 191, 192, 200, 208, 216, 220, 223, 238, 244, 247, 265, 267, 281, 282, 289, 294, 295, 297, 307, 308, 313, 319, 331, 333, 338, 351, 356, 359, 360, 363, 367, 370, 374, 376, 400, 401, 404, 407, 409, 410, 413, 415, 416, 424, 426, 427, 429, 430, 436, 439, 444, 447, 455, 459, 478, 480, 506, 518, 525, 532, 557, 563, 576, 591, 592, 611, 613, 620, 625, 629, 630, 632, 633, 651, 661, 662, 665, 680, 685]
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)×345 (2,10)×690 (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): 345 (1,15): 345 (2,10): 690 (2,12): 5865 (2,16): 345 (2,18): 2760 (2,20): 29670 (2,22): 345 (2,24): 690 (2,26): 6210 (2,28): 20355
trapping sets H_Z (1,7)×345 (2,10)×690 (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): 345 (1,15): 345 (2,10): 690 (2,12): 5865 (2,16): 345 (2,18): 2760 (2,20): 29670 (2,22): 345 (2,24): 690 (2,26): 6210 (2,28): 20355

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x345 - 1 with a(x) = x157 + x246 + x293 + x294 + x296 + x320 + x321, b(x) = x12 + x30 + x66 + x89 + x108 + x144 + x196 + x198 + x208 + x221 + x233 + x280 + x309 + x318 + x330; 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

[[690,12,110]] 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^345 - 1 a(x) = x^157 + x^246 + x^293 + x^294 + x^296 + x^320 + x^321 b(x) = x^12 + x^30 + x^66 + x^89 + x^108 + x^144 + x^196 + x^198 + x^208 + x^221 + x^233 + x^280 + x^309 + x^318 + x^330 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 = 210.435 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 345 (max weight 22) · Z-checks 345 (max weight 22)
H_X (345 checks, sparse supports)
[157, 246, 293, 294, 296, 320, 321, 357, 375, 411, 434, 453, 489, 541, 543, 553, 566, 578, 625, 654, 663, 675] [158, 247, 294, 295, 297, 321, 322, 358, 376, 412, 435, 454, 490, 542, 544, 554, 567, 579, 626, 655, 664, 676] [159, 248, 295, 296, 298, 322, 323, 359, 377, 413, 436, 455, 491, 543, 545, 555, 568, 580, 627, 656, 665, 677] [160, 249, 296, 297, 299, 323, 324, 360, 378, 414, 437, 456, 492, 544, 546, 556, 569, 581, 628, 657, 666, 678] [161, 250, 297, 298, 300, 324, 325, 361, 379, 415, 438, 457, 493, 545, 547, 557, 570, 582, 629, 658, 667, 679] [162, 251, 298, 299, 301, 325, 326, 362, 380, 416, 439, 458, 494, 546, 548, 558, 571, 583, 630, 659, 668, 680] [163, 252, 299, 300, 302, 326, 327, 363, 381, 417, 440, 459, 495, 547, 549, 559, 572, 584, 631, 660, 669, 681] [164, 253, 300, 301, 303, 327, 328, 364, 382, 418, 441, 460, 496, 548, 550, 560, 573, 585, 632, 661, 670, 682] [165, 254, 301, 302, 304, 328, 329, 365, 383, 419, 442, 461, 497, 549, 551, 561, 574, 586, 633, 662, 671, 683] [166, 255, 302, 303, 305, 329, 330, 366, 384, 420, 443, 462, 498, 550, 552, 562, 575, 587, 634, 663, 672, 684] [167, 256, 303, 304, 306, 330, 331, 367, 385, 421, 444, 463, 499, 551, 553, 563, 576, 588, 635, 664, 673, 685] [168, 257, 304, 305, 307, 331, 332, 368, 386, 422, 445, 464, 500, 552, 554, 564, 577, 589, 636, 665, 674, 686] [169, 258, 305, 306, 308, 332, 333, 369, 387, 423, 446, 465, 501, 553, 555, 565, 578, 590, 637, 666, 675, 687] [170, 259, 306, 307, 309, 333, 334, 370, 388, 424, 447, 466, 502, 554, 556, 566, 579, 591, 638, 667, 676, 688] [171, 260, 307, 308, 310, 334, 335, 371, 389, 425, 448, 467, 503, 555, 557, 567, 580, 592, 639, 668, 677, 689] [172, 261, 308, 309, 311, 335, 336, 345, 372, 390, 426, 449, 468, 504, 556, 558, 568, 581, 593, 640, 669, 678] [173, 262, 309, 310, 312, 336, 337, 346, 373, 391, 427, 450, 469, 505, 557, 559, 569, 582, 594, 641, 670, 679] [174, 263, 310, 311, 313, 337, 338, 347, 374, 392, 428, 451, 470, 506, 558, 560, 570, 583, 595, 642, 671, 680] [175, 264, 311, 312, 314, 338, 339, 348, 375, 393, 429, 452, 471, 507, 559, 561, 571, 584, 596, 643, 672, 681] [176, 265, 312, 313, 315, 339, 340, 349, 376, 394, 430, 453, 472, 508, 560, 562, 572, 585, 597, 644, 673, 682] [177, 266, 313, 314, 316, 340, 341, 350, 377, 395, 431, 454, 473, 509, 561, 563, 573, 586, 598, 645, 674, 683] [178, 267, 314, 315, 317, 341, 342, 351, 378, 396, 432, 455, 474, 510, 562, 564, 574, 587, 599, 646, 675, 684] [179, 268, 315, 316, 318, 342, 343, 352, 379, 397, 433, 456, 475, 511, 563, 565, 575, 588, 600, 647, 676, 685] [180, 269, 316, 317, 319, 343, 344, 353, 380, 398, 434, 457, 476, 512, 564, 566, 576, 589, 601, 648, 677, 686] [0, 181, 270, 317, 318, 320, 344, 354, 381, 399, 435, 458, 477, 513, 565, 567, 577, 590, 602, 649, 678, 687] [0, 1, 182, 271, 318, 319, 321, 355, 382, 400, 436, 459, 478, 514, 566, 568, 578, 591, 603, 650, 679, 688] [1, 2, 183, 272, 319, 320, 322, 356, 383, 401, 437, 460, 479, 515, 567, 569, 579, 592, 604, 651, 680, 689] [2, 3, 184, 273, 320, 321, 323, 345, 357, 384, 402, 438, 461, 480, 516, 568, 570, 580, 593, 605, 652, 681] [3, 4, 185, 274, 321, 322, 324, 346, 358, 385, 403, 439, 462, 481, 517, 569, 571, 581, 594, 606, 653, 682] [4, 5, 186, 275, 322, 323, 325, 347, 359, 386, 404, 440, 463, 482, 518, 570, 572, 582, 595, 607, 654, 683] [5, 6, 187, 276, 323, 324, 326, 348, 360, 387, 405, 441, 464, 483, 519, 571, 573, 583, 596, 608, 655, 684] [6, 7, 188, 277, 324, 325, 327, 349, 361, 388, 406, 442, 465, 484, 520, 572, 574, 584, 597, 609, 656, 685] [7, 8, 189, 278, 325, 326, 328, 350, 362, 389, 407, 443, 466, 485, 521, 573, 575, 585, 598, 610, 657, 686] [8, 9, 190, 279, 326, 327, 329, 351, 363, 390, 408, 444, 467, 486, 522, 574, 576, 586, 599, 611, 658, 687] [9, 10, 191, 280, 327, 328, 330, 352, 364, 391, 409, 445, 468, 487, 523, 575, 577, 587, 600, 612, 659, 688] [10, 11, 192, 281, 328, 329, 331, 353, 365, 392, 410, 446, 469, 488, 524, 576, 578, 588, 601, 613, 660, 689] [11, 12, 193, 282, 329, 330, 332, 345, 354, 366, 393, 411, 447, 470, 489, 525, 577, 579, 589, 602, 614, 661] [12, 13, 194, 283, 330, 331, 333, 346, 355, 367, 394, 412, 448, 471, 490, 526, 578, 580, 590, 603, 615, 662] [13, 14, 195, 284, 331, 332, 334, 347, 356, 368, 395, 413, 449, 472, 491, 527, 579, 581, 591, 604, 616, 663] [14, 15, 196, 285, 332, 333, 335, 348, 357, 369, 396, 414, 450, 473, 492, 528, 580, 582, 592, 605, 617, 664] [15, 16, 197, 286, 333, 334, 336, 349, 358, 370, 397, 415, 451, 474, 493, 529, 581, 583, 593, 606, 618, 665] [16, 17, 198, 287, 334, 335, 337, 350, 359, 371, 398, 416, 452, 475, 494, 530, 582, 584, 594, 607, 619, 666] [17, 18, 199, 288, 335, 336, 338, 351, 360, 372, 399, 417, 453, 476, 495, 531, 583, 585, 595, 608, 620, 667] [18, 19, 200, 289, 336, 337, 339, 352, 361, 373, 400, 418, 454, 477, 496, 532, 584, 586, 596, 609, 621, 668] [19, 20, 201, 290, 337, 338, 340, 353, 362, 374, 401, 419, 455, 478, 497, 533, 585, 587, 597, 610, 622, 669] [20, 21, 202, 291, 338, 339, 341, 354, 363, 375, 402, 420, 456, 479, 498, 534, 586, 588, 598, 611, 623, 670] [21, 22, 203, 292, 339, 340, 342, 355, 364, 376, 403, 421, 457, 480, 499, 535, 587, 589, 599, 612, 624, 671] [22, 23, 204, 293, 340, 341, 343, 356, 365, 377, 404, 422, 458, 481, 500, 536, 588, 590, 600, 613, 625, 672] [23, 24, 205, 294, 341, 342, 344, 357, 366, 378, 405, 423, 459, 482, 501, 537, 589, 591, 601, 614, 626, 673] [0, 24, 25, 206, 295, 342, 343, 358, 367, 379, 406, 424, 460, 483, 502, 538, 590, 592, 602, 615, 627, 674] [1, 25, 26, 207, 296, 343, 344, 359, 368, 380, 407, 425, 461, 484, 503, 539, 591, 593, 603, 616, 628, 675] [0, 2, 26, 27, 208, 297, 344, 360, 369, 381, 408, 426, 462, 485, 504, 540, 592, 594, 604, 617, 629, 676] [0, 1, 3, 27, 28, 209, 298, 361, 370, 382, 409, 427, 463, 486, 505, 541, 593, 595, 605, 618, 630, 677] [1, 2, 4, 28, 29, 210, 299, 362, 371, 383, 410, 428, 464, 487, 506, 542, 594, 596, 606, 619, 631, 678] [2, 3, 5, 29, 30, 211, 300, 363, 372, 384, 411, 429, 465, 488, 507, 543, 595, 597, 607, 620, 632, 679] [3, 4, 6, 30, 31, 212, 301, 364, 373, 385, 412, 430, 466, 489, 508, 544, 596, 598, 608, 621, 633, 680] [4, 5, 7, 31, 32, 213, 302, 365, 374, 386, 413, 431, 467, 490, 509, 545, 597, 599, 609, 622, 634, 681] [5, 6, 8, 32, 33, 214, 303, 366, 375, 387, 414, 432, 468, 491, 510, 546, 598, 600, 610, 623, 635, 682] [6, 7, 9, 33, 34, 215, 304, 367, 376, 388, 415, 433, 469, 492, 511, 547, 599, 601, 611, 624, 636, 683] [7, 8, 10, 34, 35, 216, 305, 368, 377, 389, 416, 434, 470, 493, 512, 548, 600, 602, 612, 625, 637, 684] [8, 9, 11, 35, 36, 217, 306, 369, 378, 390, 417, 435, 471, 494, 513, 549, 601, 603, 613, 626, 638, 685] [9, 10, 12, 36, 37, 218, 307, 370, 379, 391, 418, 436, 472, 495, 514, 550, 602, 604, 614, 627, 639, 686] [10, 11, 13, 37, 38, 219, 308, 371, 380, 392, 419, 437, 473, 496, 515, 551, 603, 605, 615, 628, 640, 687] [11, 12, 14, 38, 39, 220, 309, 372, 381, 393, 420, 438, 474, 497, 516, 552, 604, 606, 616, 629, 641, 688] [12, 13, 15, 39, 40, 221, 310, 373, 382, 394, 421, 439, 475, 498, 517, 553, 605, 607, 617, 630, 642, 689] [13, 14, 16, 40, 41, 222, 311, 345, 374, 383, 395, 422, 440, 476, 499, 518, 554, 606, 608, 618, 631, 643] [14, 15, 17, 41, 42, 223, 312, 346, 375, 384, 396, 423, 441, 477, 500, 519, 555, 607, 609, 619, 632, 644] [15, 16, 18, 42, 43, 224, 313, 347, 376, 385, 397, 424, 442, 478, 501, 520, 556, 608, 610, 620, 633, 645] [16, 17, 19, 43, 44, 225, 314, 348, 377, 386, 398, 425, 443, 479, 502, 521, 557, 609, 611, 621, 634, 646] [17, 18, 20, 44, 45, 226, 315, 349, 378, 387, 399, 426, 444, 480, 503, 522, 558, 610, 612, 622, 635, 647] [18, 19, 21, 45, 46, 227, 316, 350, 379, 388, 400, 427, 445, 481, 504, 523, 559, 611, 613, 623, 636, 648] [19, 20, 22, 46, 47, 228, 317, 351, 380, 389, 401, 428, 446, 482, 505, 524, 560, 612, 614, 624, 637, 649] [20, 21, 23, 47, 48, 229, 318, 352, 381, 390, 402, 429, 447, 483, 506, 525, 561, 613, 615, 625, 638, 650] [21, 22, 24, 48, 49, 230, 319, 353, 382, 391, 403, 430, 448, 484, 507, 526, 562, 614, 616, 626, 639, 651] [22, 23, 25, 49, 50, 231, 320, 354, 383, 392, 404, 431, 449, 485, 508, 527, 563, 615, 617, 627, 640, 652] [23, 24, 26, 50, 51, 232, 321, 355, 384, 393, 405, 432, 450, 486, 509, 528, 564, 616, 618, 628, 641, 653] [24, 25, 27, 51, 52, 233, 322, 356, 385, 394, 406, 433, 451, 487, 510, 529, 565, 617, 619, 629, 642, 654] [25, 26, 28, 52, 53, 234, 323, 357, 386, 395, 407, 434, 452, 488, 511, 530, 566, 618, 620, 630, 643, 655] [26, 27, 29, 53, 54, 235, 324, 358, 387, 396, 408, 435, 453, 489, 512, 531, 567, 619, 621, 631, 644, 656] [27, 28, 30, 54, 55, 236, 325, 359, 388, 397, 409, 436, 454, 490, 513, 532, 568, 620, 622, 632, 645, 657] [28, 29, 31, 55, 56, 237, 326, 360, 389, 398, 410, 437, 455, 491, 514, 533, 569, 621, 623, 633, 646, 658] [29, 30, 32, 56, 57, 238, 327, 361, 390, 399, 411, 438, 456, 492, 515, 534, 570, 622, 624, 634, 647, 659] [30, 31, 33, 57, 58, 239, 328, 362, 391, 400, 412, 439, 457, 493, 516, 535, 571, 623, 625, 635, 648, 660] [31, 32, 34, 58, 59, 240, 329, 363, 392, 401, 413, 440, 458, 494, 517, 536, 572, 624, 626, 636, 649, 661] [32, 33, 35, 59, 60, 241, 330, 364, 393, 402, 414, 441, 459, 495, 518, 537, 573, 625, 627, 637, 650, 662] [33, 34, 36, 60, 61, 242, 331, 365, 394, 403, 415, 442, 460, 496, 519, 538, 574, 626, 628, 638, 651, 663] [34, 35, 37, 61, 62, 243, 332, 366, 395, 404, 416, 443, 461, 497, 520, 539, 575, 627, 629, 639, 652, 664] [35, 36, 38, 62, 63, 244, 333, 367, 396, 405, 417, 444, 462, 498, 521, 540, 576, 628, 630, 640, 653, 665] [36, 37, 39, 63, 64, 245, 334, 368, 397, 406, 418, 445, 463, 499, 522, 541, 577, 629, 631, 641, 654, 666] [37, 38, 40, 64, 65, 246, 335, 369, 398, 407, 419, 446, 464, 500, 523, 542, 578, 630, 632, 642, 655, 667] [38, 39, 41, 65, 66, 247, 336, 370, 399, 408, 420, 447, 465, 501, 524, 543, 579, 631, 633, 643, 656, 668] [39, 40, 42, 66, 67, 248, 337, 371, 400, 409, 421, 448, 466, 502, 525, 544, 580, 632, 634, 644, 657, 669] [40, 41, 43, 67, 68, 249, 338, 372, 401, 410, 422, 449, 467, 503, 526, 545, 581, 633, 635, 645, 658, 670] [41, 42, 44, 68, 69, 250, 339, 373, 402, 411, 423, 450, 468, 504, 527, 546, 582, 634, 636, 646, 659, 671] [42, 43, 45, 69, 70, 251, 340, 374, 403, 412, 424, 451, 469, 505, 528, 547, 583, 635, 637, 647, 660, 672] [43, 44, 46, 70, 71, 252, 341, 375, 404, 413, 425, 452, 470, 506, 529, 548, 584, 636, 638, 648, 661, 673] [44, 45, 47, 71, 72, 253, 342, 376, 405, 414, 426, 453, 471, 507, 530, 549, 585, 637, 639, 649, 662, 674] [45, 46, 48, 72, 73, 254, 343, 377, 406, 415, 427, 454, 472, 508, 531, 550, 586, 638, 640, 650, 663, 675] [46, 47, 49, 73, 74, 255, 344, 378, 407, 416, 428, 455, 473, 509, 532, 551, 587, 639, 641, 651, 664, 676] [0, 47, 48, 50, 74, 75, 256, 379, 408, 417, 429, 456, 474, 510, 533, 552, 588, 640, 642, 652, 665, 677] [1, 48, 49, 51, 75, 76, 257, 380, 409, 418, 430, 457, 475, 511, 534, 553, 589, 641, 643, 653, 666, 678] [2, 49, 50, 52, 76, 77, 258, 381, 410, 419, 431, 458, 476, 512, 535, 554, 590, 642, 644, 654, 667, 679] [3, 50, 51, 53, 77, 78, 259, 382, 411, 420, 432, 459, 477, 513, 536, 555, 591, 643, 645, 655, 668, 680] [4, 51, 52, 54, 78, 79, 260, 383, 412, 421, 433, 460, 478, 514, 537, 556, 592, 644, 646, 656, 669, 681] [5, 52, 53, 55, 79, 80, 261, 384, 413, 422, 434, 461, 479, 515, 538, 557, 593, 645, 647, 657, 670, 682] [6, 53, 54, 56, 80, 81, 262, 385, 414, 423, 435, 462, 480, 516, 539, 558, 594, 646, 648, 658, 671, 683] [7, 54, 55, 57, 81, 82, 263, 386, 415, 424, 436, 463, 481, 517, 540, 559, 595, 647, 649, 659, 672, 684] [8, 55, 56, 58, 82, 83, 264, 387, 416, 425, 437, 464, 482, 518, 541, 560, 596, 648, 650, 660, 673, 685] [9, 56, 57, 59, 83, 84, 265, 388, 417, 426, 438, 465, 483, 519, 542, 561, 597, 649, 651, 661, 674, 686] [10, 57, 58, 60, 84, 85, 266, 389, 418, 427, 439, 466, 484, 520, 543, 562, 598, 650, 652, 662, 675, 687] [11, 58, 59, 61, 85, 86, 267, 390, 419, 428, 440, 467, 485, 521, 544, 563, 599, 651, 653, 663, 676, 688] [12, 59, 60, 62, 86, 87, 268, 391, 420, 429, 441, 468, 486, 522, 545, 564, 600, 652, 654, 664, 677, 689] [13, 60, 61, 63, 87, 88, 269, 345, 392, 421, 430, 442, 469, 487, 523, 546, 565, 601, 653, 655, 665, 678] [14, 61, 62, 64, 88, 89, 270, 346, 393, 422, 431, 443, 470, 488, 524, 547, 566, 602, 654, 656, 666, 679] [15, 62, 63, 65, 89, 90, 271, 347, 394, 423, 432, 444, 471, 489, 525, 548, 567, 603, 655, 657, 667, 680] [16, 63, 64, 66, 90, 91, 272, 348, 395, 424, 433, 445, 472, 490, 526, 549, 568, 604, 656, 658, 668, 681] [17, 64, 65, 67, 91, 92, 273, 349, 396, 425, 434, 446, 473, 491, 527, 550, 569, 605, 657, 659, 669, 682] [18, 65, 66, 68, 92, 93, 274, 350, 397, 426, 435, 447, 474, 492, 528, 551, 570, 606, 658, 660, 670, 683] [19, 66, 67, 69, 93, 94, 275, 351, 398, 427, 436, 448, 475, 493, 529, 552, 571, 607, 659, 661, 671, 684] [20, 67, 68, 70, 94, 95, 276, 352, 399, 428, 437, 449, 476, 494, 530, 553, 572, 608, 660, 662, 672, 685] [21, 68, 69, 71, 95, 96, 277, 353, 400, 429, 438, 450, 477, 495, 531, 554, 573, 609, 661, 663, 673, 686] [22, 69, 70, 72, 96, 97, 278, 354, 401, 430, 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558, 567, 579, 606, 624, 660, 683] [62, 151, 198, 199, 201, 225, 226, 358, 394, 446, 448, 458, 471, 483, 530, 559, 568, 580, 607, 625, 661, 684] [63, 152, 199, 200, 202, 226, 227, 359, 395, 447, 449, 459, 472, 484, 531, 560, 569, 581, 608, 626, 662, 685] [64, 153, 200, 201, 203, 227, 228, 360, 396, 448, 450, 460, 473, 485, 532, 561, 570, 582, 609, 627, 663, 686] [65, 154, 201, 202, 204, 228, 229, 361, 397, 449, 451, 461, 474, 486, 533, 562, 571, 583, 610, 628, 664, 687] [66, 155, 202, 203, 205, 229, 230, 362, 398, 450, 452, 462, 475, 487, 534, 563, 572, 584, 611, 629, 665, 688] [67, 156, 203, 204, 206, 230, 231, 363, 399, 451, 453, 463, 476, 488, 535, 564, 573, 585, 612, 630, 666, 689] [68, 157, 204, 205, 207, 231, 232, 345, 364, 400, 452, 454, 464, 477, 489, 536, 565, 574, 586, 613, 631, 667] [69, 158, 205, 206, 208, 232, 233, 346, 365, 401, 453, 455, 465, 478, 490, 537, 566, 575, 587, 614, 632, 668] [70, 159, 206, 207, 209, 233, 234, 347, 366, 402, 454, 456, 466, 479, 491, 538, 567, 576, 588, 615, 633, 669] [71, 160, 207, 208, 210, 234, 235, 348, 367, 403, 455, 457, 467, 480, 492, 539, 568, 577, 589, 616, 634, 670] [72, 161, 208, 209, 211, 235, 236, 349, 368, 404, 456, 458, 468, 481, 493, 540, 569, 578, 590, 617, 635, 671] [73, 162, 209, 210, 212, 236, 237, 350, 369, 405, 457, 459, 469, 482, 494, 541, 570, 579, 591, 618, 636, 672] [74, 163, 210, 211, 213, 237, 238, 351, 370, 406, 458, 460, 470, 483, 495, 542, 571, 580, 592, 619, 637, 673] [75, 164, 211, 212, 214, 238, 239, 352, 371, 407, 459, 461, 471, 484, 496, 543, 572, 581, 593, 620, 638, 674] [76, 165, 212, 213, 215, 239, 240, 353, 372, 408, 460, 462, 472, 485, 497, 544, 573, 582, 594, 621, 639, 675] [77, 166, 213, 214, 216, 240, 241, 354, 373, 409, 461, 463, 473, 486, 498, 545, 574, 583, 595, 622, 640, 676] [78, 167, 214, 215, 217, 241, 242, 355, 374, 410, 462, 464, 474, 487, 499, 546, 575, 584, 596, 623, 641, 677] [79, 168, 215, 216, 218, 242, 243, 356, 375, 411, 463, 465, 475, 488, 500, 547, 576, 585, 597, 624, 642, 678] [80, 169, 216, 217, 219, 243, 244, 357, 376, 412, 464, 466, 476, 489, 501, 548, 577, 586, 598, 625, 643, 679] [81, 170, 217, 218, 220, 244, 245, 358, 377, 413, 465, 467, 477, 490, 502, 549, 578, 587, 599, 626, 644, 680] [82, 171, 218, 219, 221, 245, 246, 359, 378, 414, 466, 468, 478, 491, 503, 550, 579, 588, 600, 627, 645, 681] [83, 172, 219, 220, 222, 246, 247, 360, 379, 415, 467, 469, 479, 492, 504, 551, 580, 589, 601, 628, 646, 682] [84, 173, 220, 221, 223, 247, 248, 361, 380, 416, 468, 470, 480, 493, 505, 552, 581, 590, 602, 629, 647, 683] [85, 174, 221, 222, 224, 248, 249, 362, 381, 417, 469, 471, 481, 494, 506, 553, 582, 591, 603, 630, 648, 684] [86, 175, 222, 223, 225, 249, 250, 363, 382, 418, 470, 472, 482, 495, 507, 554, 583, 592, 604, 631, 649, 685] [87, 176, 223, 224, 226, 250, 251, 364, 383, 419, 471, 473, 483, 496, 508, 555, 584, 593, 605, 632, 650, 686] [88, 177, 224, 225, 227, 251, 252, 365, 384, 420, 472, 474, 484, 497, 509, 556, 585, 594, 606, 633, 651, 687] [89, 178, 225, 226, 228, 252, 253, 366, 385, 421, 473, 475, 485, 498, 510, 557, 586, 595, 607, 634, 652, 688] [90, 179, 226, 227, 229, 253, 254, 367, 386, 422, 474, 476, 486, 499, 511, 558, 587, 596, 608, 635, 653, 689] [91, 180, 227, 228, 230, 254, 255, 345, 368, 387, 423, 475, 477, 487, 500, 512, 559, 588, 597, 609, 636, 654] [92, 181, 228, 229, 231, 255, 256, 346, 369, 388, 424, 476, 478, 488, 501, 513, 560, 589, 598, 610, 637, 655] [93, 182, 229, 230, 232, 256, 257, 347, 370, 389, 425, 477, 479, 489, 502, 514, 561, 590, 599, 611, 638, 656] [94, 183, 230, 231, 233, 257, 258, 348, 371, 390, 426, 478, 480, 490, 503, 515, 562, 591, 600, 612, 639, 657] [95, 184, 231, 232, 234, 258, 259, 349, 372, 391, 427, 479, 481, 491, 504, 516, 563, 592, 601, 613, 640, 658] [96, 185, 232, 233, 235, 259, 260, 350, 373, 392, 428, 480, 482, 492, 505, 517, 564, 593, 602, 614, 641, 659] [97, 186, 233, 234, 236, 260, 261, 351, 374, 393, 429, 481, 483, 493, 506, 518, 565, 594, 603, 615, 642, 660] [98, 187, 234, 235, 237, 261, 262, 352, 375, 394, 430, 482, 484, 494, 507, 519, 566, 595, 604, 616, 643, 661] [99, 188, 235, 236, 238, 262, 263, 353, 376, 395, 431, 483, 485, 495, 508, 520, 567, 596, 605, 617, 644, 662] [100, 189, 236, 237, 239, 263, 264, 354, 377, 396, 432, 484, 486, 496, 509, 521, 568, 597, 606, 618, 645, 663] [101, 190, 237, 238, 240, 264, 265, 355, 378, 397, 433, 485, 487, 497, 510, 522, 569, 598, 607, 619, 646, 664] [102, 191, 238, 239, 241, 265, 266, 356, 379, 398, 434, 486, 488, 498, 511, 523, 570, 599, 608, 620, 647, 665] [103, 192, 239, 240, 242, 266, 267, 357, 380, 399, 435, 487, 489, 499, 512, 524, 571, 600, 609, 621, 648, 666] [104, 193, 240, 241, 243, 267, 268, 358, 381, 400, 436, 488, 490, 500, 513, 525, 572, 601, 610, 622, 649, 667] [105, 194, 241, 242, 244, 268, 269, 359, 382, 401, 437, 489, 491, 501, 514, 526, 573, 602, 611, 623, 650, 668] [106, 195, 242, 243, 245, 269, 270, 360, 383, 402, 438, 490, 492, 502, 515, 527, 574, 603, 612, 624, 651, 669] [107, 196, 243, 244, 246, 270, 271, 361, 384, 403, 439, 491, 493, 503, 516, 528, 575, 604, 613, 625, 652, 670] [108, 197, 244, 245, 247, 271, 272, 362, 385, 404, 440, 492, 494, 504, 517, 529, 576, 605, 614, 626, 653, 671] [109, 198, 245, 246, 248, 272, 273, 363, 386, 405, 441, 493, 495, 505, 518, 530, 577, 606, 615, 627, 654, 672] [110, 199, 246, 247, 249, 273, 274, 364, 387, 406, 442, 494, 496, 506, 519, 531, 578, 607, 616, 628, 655, 673] [111, 200, 247, 248, 250, 274, 275, 365, 388, 407, 443, 495, 497, 507, 520, 532, 579, 608, 617, 629, 656, 674] [112, 201, 248, 249, 251, 275, 276, 366, 389, 408, 444, 496, 498, 508, 521, 533, 580, 609, 618, 630, 657, 675] [113, 202, 249, 250, 252, 276, 277, 367, 390, 409, 445, 497, 499, 509, 522, 534, 581, 610, 619, 631, 658, 676] [114, 203, 250, 251, 253, 277, 278, 368, 391, 410, 446, 498, 500, 510, 523, 535, 582, 611, 620, 632, 659, 677] [115, 204, 251, 252, 254, 278, 279, 369, 392, 411, 447, 499, 501, 511, 524, 536, 583, 612, 621, 633, 660, 678] [116, 205, 252, 253, 255, 279, 280, 370, 393, 412, 448, 500, 502, 512, 525, 537, 584, 613, 622, 634, 661, 679] [117, 206, 253, 254, 256, 280, 281, 371, 394, 413, 449, 501, 503, 513, 526, 538, 585, 614, 623, 635, 662, 680] [118, 207, 254, 255, 257, 281, 282, 372, 395, 414, 450, 502, 504, 514, 527, 539, 586, 615, 624, 636, 663, 681] [119, 208, 255, 256, 258, 282, 283, 373, 396, 415, 451, 503, 505, 515, 528, 540, 587, 616, 625, 637, 664, 682] [120, 209, 256, 257, 259, 283, 284, 374, 397, 416, 452, 504, 506, 516, 529, 541, 588, 617, 626, 638, 665, 683] [121, 210, 257, 258, 260, 284, 285, 375, 398, 417, 453, 505, 507, 517, 530, 542, 589, 618, 627, 639, 666, 684] [122, 211, 258, 259, 261, 285, 286, 376, 399, 418, 454, 506, 508, 518, 531, 543, 590, 619, 628, 640, 667, 685] [123, 212, 259, 260, 262, 286, 287, 377, 400, 419, 455, 507, 509, 519, 532, 544, 591, 620, 629, 641, 668, 686] [124, 213, 260, 261, 263, 287, 288, 378, 401, 420, 456, 508, 510, 520, 533, 545, 592, 621, 630, 642, 669, 687] [125, 214, 261, 262, 264, 288, 289, 379, 402, 421, 457, 509, 511, 521, 534, 546, 593, 622, 631, 643, 670, 688] [126, 215, 262, 263, 265, 289, 290, 380, 403, 422, 458, 510, 512, 522, 535, 547, 594, 623, 632, 644, 671, 689] [127, 216, 263, 264, 266, 290, 291, 345, 381, 404, 423, 459, 511, 513, 523, 536, 548, 595, 624, 633, 645, 672] [128, 217, 264, 265, 267, 291, 292, 346, 382, 405, 424, 460, 512, 514, 524, 537, 549, 596, 625, 634, 646, 673] [129, 218, 265, 266, 268, 292, 293, 347, 383, 406, 425, 461, 513, 515, 525, 538, 550, 597, 626, 635, 647, 674] [130, 219, 266, 267, 269, 293, 294, 348, 384, 407, 426, 462, 514, 516, 526, 539, 551, 598, 627, 636, 648, 675] [131, 220, 267, 268, 270, 294, 295, 349, 385, 408, 427, 463, 515, 517, 527, 540, 552, 599, 628, 637, 649, 676] [132, 221, 268, 269, 271, 295, 296, 350, 386, 409, 428, 464, 516, 518, 528, 541, 553, 600, 629, 638, 650, 677] [133, 222, 269, 270, 272, 296, 297, 351, 387, 410, 429, 465, 517, 519, 529, 542, 554, 601, 630, 639, 651, 678] [134, 223, 270, 271, 273, 297, 298, 352, 388, 411, 430, 466, 518, 520, 530, 543, 555, 602, 631, 640, 652, 679] [135, 224, 271, 272, 274, 298, 299, 353, 389, 412, 431, 467, 519, 521, 531, 544, 556, 603, 632, 641, 653, 680] [136, 225, 272, 273, 275, 299, 300, 354, 390, 413, 432, 468, 520, 522, 532, 545, 557, 604, 633, 642, 654, 681] [137, 226, 273, 274, 276, 300, 301, 355, 391, 414, 433, 469, 521, 523, 533, 546, 558, 605, 634, 643, 655, 682] [138, 227, 274, 275, 277, 301, 302, 356, 392, 415, 434, 470, 522, 524, 534, 547, 559, 606, 635, 644, 656, 683] [139, 228, 275, 276, 278, 302, 303, 357, 393, 416, 435, 471, 523, 525, 535, 548, 560, 607, 636, 645, 657, 684] [140, 229, 276, 277, 279, 303, 304, 358, 394, 417, 436, 472, 524, 526, 536, 549, 561, 608, 637, 646, 658, 685] [141, 230, 277, 278, 280, 304, 305, 359, 395, 418, 437, 473, 525, 527, 537, 550, 562, 609, 638, 647, 659, 686] [142, 231, 278, 279, 281, 305, 306, 360, 396, 419, 438, 474, 526, 528, 538, 551, 563, 610, 639, 648, 660, 687] [143, 232, 279, 280, 282, 306, 307, 361, 397, 420, 439, 475, 527, 529, 539, 552, 564, 611, 640, 649, 661, 688] [144, 233, 280, 281, 283, 307, 308, 362, 398, 421, 440, 476, 528, 530, 540, 553, 565, 612, 641, 650, 662, 689] [145, 234, 281, 282, 284, 308, 309, 345, 363, 399, 422, 441, 477, 529, 531, 541, 554, 566, 613, 642, 651, 663] [146, 235, 282, 283, 285, 309, 310, 346, 364, 400, 423, 442, 478, 530, 532, 542, 555, 567, 614, 643, 652, 664] [147, 236, 283, 284, 286, 310, 311, 347, 365, 401, 424, 443, 479, 531, 533, 543, 556, 568, 615, 644, 653, 665] [148, 237, 284, 285, 287, 311, 312, 348, 366, 402, 425, 444, 480, 532, 534, 544, 557, 569, 616, 645, 654, 666] [149, 238, 285, 286, 288, 312, 313, 349, 367, 403, 426, 445, 481, 533, 535, 545, 558, 570, 617, 646, 655, 667] [150, 239, 286, 287, 289, 313, 314, 350, 368, 404, 427, 446, 482, 534, 536, 546, 559, 571, 618, 647, 656, 668] [151, 240, 287, 288, 290, 314, 315, 351, 369, 405, 428, 447, 483, 535, 537, 547, 560, 572, 619, 648, 657, 669] [152, 241, 288, 289, 291, 315, 316, 352, 370, 406, 429, 448, 484, 536, 538, 548, 561, 573, 620, 649, 658, 670] [153, 242, 289, 290, 292, 316, 317, 353, 371, 407, 430, 449, 485, 537, 539, 549, 562, 574, 621, 650, 659, 671] [154, 243, 290, 291, 293, 317, 318, 354, 372, 408, 431, 450, 486, 538, 540, 550, 563, 575, 622, 651, 660, 672] [155, 244, 291, 292, 294, 318, 319, 355, 373, 409, 432, 451, 487, 539, 541, 551, 564, 576, 623, 652, 661, 673] [156, 245, 292, 293, 295, 319, 320, 356, 374, 410, 433, 452, 488, 540, 542, 552, 565, 577, 624, 653, 662, 674]
H_Z (345 checks, sparse supports)
[15, 27, 36, 65, 112, 124, 137, 147, 149, 201, 237, 256, 279, 315, 333, 369, 370, 394, 396, 397, 444, 533] [16, 28, 37, 66, 113, 125, 138, 148, 150, 202, 238, 257, 280, 316, 334, 370, 371, 395, 397, 398, 445, 534] [17, 29, 38, 67, 114, 126, 139, 149, 151, 203, 239, 258, 281, 317, 335, 371, 372, 396, 398, 399, 446, 535] [18, 30, 39, 68, 115, 127, 140, 150, 152, 204, 240, 259, 282, 318, 336, 372, 373, 397, 399, 400, 447, 536] [19, 31, 40, 69, 116, 128, 141, 151, 153, 205, 241, 260, 283, 319, 337, 373, 374, 398, 400, 401, 448, 537] [20, 32, 41, 70, 117, 129, 142, 152, 154, 206, 242, 261, 284, 320, 338, 374, 375, 399, 401, 402, 449, 538] [21, 33, 42, 71, 118, 130, 143, 153, 155, 207, 243, 262, 285, 321, 339, 375, 376, 400, 402, 403, 450, 539] [22, 34, 43, 72, 119, 131, 144, 154, 156, 208, 244, 263, 286, 322, 340, 376, 377, 401, 403, 404, 451, 540] [23, 35, 44, 73, 120, 132, 145, 155, 157, 209, 245, 264, 287, 323, 341, 377, 378, 402, 404, 405, 452, 541] [24, 36, 45, 74, 121, 133, 146, 156, 158, 210, 246, 265, 288, 324, 342, 378, 379, 403, 405, 406, 453, 542] [25, 37, 46, 75, 122, 134, 147, 157, 159, 211, 247, 266, 289, 325, 343, 379, 380, 404, 406, 407, 454, 543] [26, 38, 47, 76, 123, 135, 148, 158, 160, 212, 248, 267, 290, 326, 344, 380, 381, 405, 407, 408, 455, 544] [0, 27, 39, 48, 77, 124, 136, 149, 159, 161, 213, 249, 268, 291, 327, 381, 382, 406, 408, 409, 456, 545] [1, 28, 40, 49, 78, 125, 137, 150, 160, 162, 214, 250, 269, 292, 328, 382, 383, 407, 409, 410, 457, 546] [2, 29, 41, 50, 79, 126, 138, 151, 161, 163, 215, 251, 270, 293, 329, 383, 384, 408, 410, 411, 458, 547] [3, 30, 42, 51, 80, 127, 139, 152, 162, 164, 216, 252, 271, 294, 330, 384, 385, 409, 411, 412, 459, 548] [4, 31, 43, 52, 81, 128, 140, 153, 163, 165, 217, 253, 272, 295, 331, 385, 386, 410, 412, 413, 460, 549] [5, 32, 44, 53, 82, 129, 141, 154, 164, 166, 218, 254, 273, 296, 332, 386, 387, 411, 413, 414, 461, 550] [6, 33, 45, 54, 83, 130, 142, 155, 165, 167, 219, 255, 274, 297, 333, 387, 388, 412, 414, 415, 462, 551] [7, 34, 46, 55, 84, 131, 143, 156, 166, 168, 220, 256, 275, 298, 334, 388, 389, 413, 415, 416, 463, 552] [8, 35, 47, 56, 85, 132, 144, 157, 167, 169, 221, 257, 276, 299, 335, 389, 390, 414, 416, 417, 464, 553] [9, 36, 48, 57, 86, 133, 145, 158, 168, 170, 222, 258, 277, 300, 336, 390, 391, 415, 417, 418, 465, 554] [10, 37, 49, 58, 87, 134, 146, 159, 169, 171, 223, 259, 278, 301, 337, 391, 392, 416, 418, 419, 466, 555] [11, 38, 50, 59, 88, 135, 147, 160, 170, 172, 224, 260, 279, 302, 338, 392, 393, 417, 419, 420, 467, 556] [12, 39, 51, 60, 89, 136, 148, 161, 171, 173, 225, 261, 280, 303, 339, 393, 394, 418, 420, 421, 468, 557] [13, 40, 52, 61, 90, 137, 149, 162, 172, 174, 226, 262, 281, 304, 340, 394, 395, 419, 421, 422, 469, 558] [14, 41, 53, 62, 91, 138, 150, 163, 173, 175, 227, 263, 282, 305, 341, 395, 396, 420, 422, 423, 470, 559] [15, 42, 54, 63, 92, 139, 151, 164, 174, 176, 228, 264, 283, 306, 342, 396, 397, 421, 423, 424, 471, 560] [16, 43, 55, 64, 93, 140, 152, 165, 175, 177, 229, 265, 284, 307, 343, 397, 398, 422, 424, 425, 472, 561] [17, 44, 56, 65, 94, 141, 153, 166, 176, 178, 230, 266, 285, 308, 344, 398, 399, 423, 425, 426, 473, 562] [0, 18, 45, 57, 66, 95, 142, 154, 167, 177, 179, 231, 267, 286, 309, 399, 400, 424, 426, 427, 474, 563] [1, 19, 46, 58, 67, 96, 143, 155, 168, 178, 180, 232, 268, 287, 310, 400, 401, 425, 427, 428, 475, 564] [2, 20, 47, 59, 68, 97, 144, 156, 169, 179, 181, 233, 269, 288, 311, 401, 402, 426, 428, 429, 476, 565] [3, 21, 48, 60, 69, 98, 145, 157, 170, 180, 182, 234, 270, 289, 312, 402, 403, 427, 429, 430, 477, 566] [4, 22, 49, 61, 70, 99, 146, 158, 171, 181, 183, 235, 271, 290, 313, 403, 404, 428, 430, 431, 478, 567] [5, 23, 50, 62, 71, 100, 147, 159, 172, 182, 184, 236, 272, 291, 314, 404, 405, 429, 431, 432, 479, 568] [6, 24, 51, 63, 72, 101, 148, 160, 173, 183, 185, 237, 273, 292, 315, 405, 406, 430, 432, 433, 480, 569] [7, 25, 52, 64, 73, 102, 149, 161, 174, 184, 186, 238, 274, 293, 316, 406, 407, 431, 433, 434, 481, 570] [8, 26, 53, 65, 74, 103, 150, 162, 175, 185, 187, 239, 275, 294, 317, 407, 408, 432, 434, 435, 482, 571] [9, 27, 54, 66, 75, 104, 151, 163, 176, 186, 188, 240, 276, 295, 318, 408, 409, 433, 435, 436, 483, 572] [10, 28, 55, 67, 76, 105, 152, 164, 177, 187, 189, 241, 277, 296, 319, 409, 410, 434, 436, 437, 484, 573] [11, 29, 56, 68, 77, 106, 153, 165, 178, 188, 190, 242, 278, 297, 320, 410, 411, 435, 437, 438, 485, 574] [12, 30, 57, 69, 78, 107, 154, 166, 179, 189, 191, 243, 279, 298, 321, 411, 412, 436, 438, 439, 486, 575] [13, 31, 58, 70, 79, 108, 155, 167, 180, 190, 192, 244, 280, 299, 322, 412, 413, 437, 439, 440, 487, 576] [14, 32, 59, 71, 80, 109, 156, 168, 181, 191, 193, 245, 281, 300, 323, 413, 414, 438, 440, 441, 488, 577] [15, 33, 60, 72, 81, 110, 157, 169, 182, 192, 194, 246, 282, 301, 324, 414, 415, 439, 441, 442, 489, 578] [16, 34, 61, 73, 82, 111, 158, 170, 183, 193, 195, 247, 283, 302, 325, 415, 416, 440, 442, 443, 490, 579] [17, 35, 62, 74, 83, 112, 159, 171, 184, 194, 196, 248, 284, 303, 326, 416, 417, 441, 443, 444, 491, 580] [18, 36, 63, 75, 84, 113, 160, 172, 185, 195, 197, 249, 285, 304, 327, 417, 418, 442, 444, 445, 492, 581] [19, 37, 64, 76, 85, 114, 161, 173, 186, 196, 198, 250, 286, 305, 328, 418, 419, 443, 445, 446, 493, 582] [20, 38, 65, 77, 86, 115, 162, 174, 187, 197, 199, 251, 287, 306, 329, 419, 420, 444, 446, 447, 494, 583] [21, 39, 66, 78, 87, 116, 163, 175, 188, 198, 200, 252, 288, 307, 330, 420, 421, 445, 447, 448, 495, 584] [22, 40, 67, 79, 88, 117, 164, 176, 189, 199, 201, 253, 289, 308, 331, 421, 422, 446, 448, 449, 496, 585] [23, 41, 68, 80, 89, 118, 165, 177, 190, 200, 202, 254, 290, 309, 332, 422, 423, 447, 449, 450, 497, 586] [24, 42, 69, 81, 90, 119, 166, 178, 191, 201, 203, 255, 291, 310, 333, 423, 424, 448, 450, 451, 498, 587] [25, 43, 70, 82, 91, 120, 167, 179, 192, 202, 204, 256, 292, 311, 334, 424, 425, 449, 451, 452, 499, 588] [26, 44, 71, 83, 92, 121, 168, 180, 193, 203, 205, 257, 293, 312, 335, 425, 426, 450, 452, 453, 500, 589] [27, 45, 72, 84, 93, 122, 169, 181, 194, 204, 206, 258, 294, 313, 336, 426, 427, 451, 453, 454, 501, 590] [28, 46, 73, 85, 94, 123, 170, 182, 195, 205, 207, 259, 295, 314, 337, 427, 428, 452, 454, 455, 502, 591] [29, 47, 74, 86, 95, 124, 171, 183, 196, 206, 208, 260, 296, 315, 338, 428, 429, 453, 455, 456, 503, 592] [30, 48, 75, 87, 96, 125, 172, 184, 197, 207, 209, 261, 297, 316, 339, 429, 430, 454, 456, 457, 504, 593] [31, 49, 76, 88, 97, 126, 173, 185, 198, 208, 210, 262, 298, 317, 340, 430, 431, 455, 457, 458, 505, 594] [32, 50, 77, 89, 98, 127, 174, 186, 199, 209, 211, 263, 299, 318, 341, 431, 432, 456, 458, 459, 506, 595] [33, 51, 78, 90, 99, 128, 175, 187, 200, 210, 212, 264, 300, 319, 342, 432, 433, 457, 459, 460, 507, 596] [34, 52, 79, 91, 100, 129, 176, 188, 201, 211, 213, 265, 301, 320, 343, 433, 434, 458, 460, 461, 508, 597] [35, 53, 80, 92, 101, 130, 177, 189, 202, 212, 214, 266, 302, 321, 344, 434, 435, 459, 461, 462, 509, 598] [0, 36, 54, 81, 93, 102, 131, 178, 190, 203, 213, 215, 267, 303, 322, 435, 436, 460, 462, 463, 510, 599] [1, 37, 55, 82, 94, 103, 132, 179, 191, 204, 214, 216, 268, 304, 323, 436, 437, 461, 463, 464, 511, 600] [2, 38, 56, 83, 95, 104, 133, 180, 192, 205, 215, 217, 269, 305, 324, 437, 438, 462, 464, 465, 512, 601] [3, 39, 57, 84, 96, 105, 134, 181, 193, 206, 216, 218, 270, 306, 325, 438, 439, 463, 465, 466, 513, 602] [4, 40, 58, 85, 97, 106, 135, 182, 194, 207, 217, 219, 271, 307, 326, 439, 440, 464, 466, 467, 514, 603] [5, 41, 59, 86, 98, 107, 136, 183, 195, 208, 218, 220, 272, 308, 327, 440, 441, 465, 467, 468, 515, 604] [6, 42, 60, 87, 99, 108, 137, 184, 196, 209, 219, 221, 273, 309, 328, 441, 442, 466, 468, 469, 516, 605] [7, 43, 61, 88, 100, 109, 138, 185, 197, 210, 220, 222, 274, 310, 329, 442, 443, 467, 469, 470, 517, 606] [8, 44, 62, 89, 101, 110, 139, 186, 198, 211, 221, 223, 275, 311, 330, 443, 444, 468, 470, 471, 518, 607] [9, 45, 63, 90, 102, 111, 140, 187, 199, 212, 222, 224, 276, 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Code ID 690-12-110 · download JSON · raw on GitHub