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[[666,150,36]] d ≤
n
666
k
150
d
36
kd²/n
291.892
w
30
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 36, d_Z ≤ 36 · w_X = 30, w_Z = 30 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 36 · witness weight 36 (claimed upper_bound)
witness found by @vprusso · norm-word lift of a Z_111 quotient logical (exact algebra) · found at 1 trials · survived 1 trials · 2026-09-24
witness operator (support, 36 qubits)
[45, 82, 156, 193, 267, 304, 337, 365, 367, 374, 384, 404, 405, 421, 439, 442, 448, 476, 478, 485, 495, 515, 516, 532, 550, 553, 559, 587, 589, 596, 606, 626, 627, 643, 661, 664]
d_Z 36 · witness weight 36 (claimed upper_bound)
witness found by @vprusso · norm-word lift of a Z_111 quotient logical (exact algebra) · found at 1 trials · survived 1 trials · 2026-09-24
witness operator (support, 36 qubits)
[2, 3, 23, 33, 40, 42, 70, 76, 79, 97, 113, 114, 134, 144, 151, 153, 181, 187, 190, 208, 224, 225, 245, 255, 262, 264, 292, 298, 301, 319, 362, 436, 473, 547, 584, 658]
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 30 · H_Z 30
qubit degrees H_X 14–16 (mean 15.0) · H_Z 14–16 (mean 15.0)
trapping sets H_X (1,14)×333 (2,22)×1998 (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
(1,14): 333 (1,16): 333 (2,22): 1998 (2,24): 7992 (2,26): 28305 (2,28): 47286 (2,30): 20646
trapping sets H_Z (1,14)×333 (2,22)×1998 (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
(1,14): 333 (1,16): 333 (2,22): 1998 (2,24): 7992 (2,26): 28305 (2,28): 47286 (2,30): 20646

Construction & provenance

authors @npdeep
provenance submitted through the challenge
novelty novelty not audited
construction Lift-333 generalized-bicycle search with 16-term a(x) and 14-term b(x); six-stage cloud RIS deepening retained a validated weight-82 X logical, and PR #596 CI RIS-fast found the retained weight-81 Z logical.
model Magic State Labs (Custom) v0.1 (claimed, not verified)
date 2026-08-17
notes The X and Z witnesses were independently validated. The distance is corrected to the weight-81 Z logical found by PR #596 CI and remains a witness-backed upper bound, not an exact-distance claim. Refuted 2026-08-20: deep-RIS (full-basis + pair stage, --pair-depth 24) found lighter logicals on every seed — X: 81/81/80, Z: 79/79/76 at 30M deep trials per seed per side; best CPU-verified witnesses recorded. d: 81 -> 76 (score 1477.66 -> 1300.90). Distance corrected 2026-09-09: an independent GCD-ideal RIS search found and CSS-verified a weight-66 X logical at 65,536 trials per side (seed 29061169), lowering the witness-backed upper bound to d<=66 and the score to 150*66^2/666 = 980.18.
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

[[666,150,36]]: distance revision of the board's [[666,150,66]] entry

Revision history

[[666,150,36]] supersedes the board's [[666,150,66]] 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_333 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Structural witnesses exhibit a weight-36 X logical and a weight-36 Z logical: on both sides, the Z_111 quotient code (both generator polynomials reduced modulo x^111 - 1) has a weight-12 logical whose norm-word lift, multiplication by 1 + x^111 + ... + x^222, is a weight-36 logical of the full code. The headline falls from kd^2/n = 981.08 to 291.89. Each lighter witness is carried in the entry; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

The witnesses are not sampled on the full code. A quotient logical is found by information-set search on the small quotient code, lifted by the norm word (which maps the kernel of the quotient Z checks into the kernel of the full Z checks and cannot turn a non-stabilizer into a stabilizer, since the norm word is 1 modulo x^m' - 1), and re-validated on the committed check matrices: in the kernel of the opposite side's checks and outside the row space of its own side. The witness_provenance sampling fields therefore carry the placeholder 1 and the tool field names the construction. Where the lifted witness validates on one side, its block-swap and reversal transport was validated on the other.

| side | claimed | lightest witness | mechanism | |---|---|---|---| | X | 66 | 36 | cyclic_bounds quotient m'=111, 400 trials | | Z | 76 | 36 | cyclic_bounds quotient m'=111, 400 trials |

Quotient search log (gf2_fast information-set search on each quotient code with k > 0):

| m' | k of quotient | seed | side | quotient weight | lifted weight | lift valid | transports valid | |---|---|---|---|---|---|---|---| | 3 | 6 | 11 | X | 1 | 111 | yes | swap, swap+reverse, reverse, swap+reverse2 | | 3 | 6 | 12 | X | 1 | 111 | yes | swap, swap+reverse, reverse, swap+reverse2 | | 3 | 6 | 13 | X | 1 | 111 | yes | swap, swap+reverse, reverse, swap+reverse2 | | 9 | 6 | 11 | X | 3 | 111 | yes | swap+reverse, swap+reverse2 | | 9 | 6 | 12 | X | 3 | 111 | yes | swap+reverse, swap+reverse2 | | 9 | 6 | 13 | X | 3 | 111 | yes | swap+reverse, swap+reverse2 | | 37 | 2 | 11 | X | 12 | 108 | yes | swap+reverse, swap+reverse2 | | 37 | 2 | 12 | X | 12 | 108 | yes | swap+reverse, swap+reverse2 | | 37 | 2 | 13 | X | 12 | 108 | yes | swap+reverse, swap+reverse2 | | 111 | 78 | 11 | X | 12 | 36 | yes | swap+reverse, swap+reverse2 | | 111 | 78 | 12 | X | 12 | 36 | yes | swap+reverse, swap+reverse2 | | 111 | 78 | 13 | X | 12 | 36 | yes | swap+reverse, swap+reverse2 |

The 300M-trial randomized-information-set pass of the 2026-09-22 audit did not find these operators; they sit in the low-dimensional subspace of norm-word multiples that a plain information-set search rarely samples.

Parity checks

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