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[[684,10,101]] d ≤
n
684
k
10
d
101
kd²/n
149.137
w
12

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Distance

d_X 102 · witness weight 102 (claimed upper_bound)
witness operator (support, 102 qubits)
[3, 8, 18, 26, 34, 38, 45, 49, 61, 70, 72, 79, 83, 96, 98, 109, 111, 132, 141, 153, 158, 161, 164, 166, 179, 198, 208, 209, 219, 237, 245, 246, 263, 267, 271, 276, 281, 283, 288, 307, 321, 324, 328, 334, 335, 338, 346, 348, 353, 354, 358, 359, 360, 367, 379, 383, 395, 405, 416, 424, 433, 437, 453, 459, 462, 466, 471, 475, 478, 481, 488, 497, 514, 517, 518, 522, 526, 534, 543, 549, 551, 554, 564, 575, 577, 585, 587, 589, 591, 593, 601, 606, 614, 615, 619, 626, 634, 638, 645, 654, 658, 672]
d_Z 101 · witness weight 101 (claimed upper_bound)
witness operator (support, 101 qubits)
[7, 8, 14, 17, 28, 37, 47, 52, 68, 76, 85, 99, 100, 115, 140, 145, 151, 162, 163, 164, 172, 177, 181, 184, 192, 199, 215, 226, 230, 237, 242, 243, 245, 246, 258, 274, 278, 286, 288, 290, 291, 294, 296, 297, 302, 305, 311, 317, 326, 337, 340, 342, 344, 353, 362, 381, 388, 390, 395, 404, 405, 406, 430, 431, 433, 440, 456, 458, 462, 464, 466, 476, 479, 489, 520, 533, 534, 536, 540, 542, 567, 571, 576, 587, 598, 600, 609, 610, 616, 626, 633, 635, 642, 647, 653, 668, 669, 670, 672, 674, 680]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Two-block group algebra code over the affine group Aff(F_19) = Z19 x| Z18 (order 342, y x y-1 = x2): HX = [L[a] L[b]], HZ = [R[b] R[a]] with element-index supports a=[43, 79, 102, 184, 219, 275], b=[43, 135, 168, 206, 314, 335] in the left/right regular representation; n = 2|G| = 684, max check weight 12.
model Claude Claude Opus 5 (claimed, not verified)
date 2026-08-09
notes Found by a randomized search over 2BGA codes on affine groups and their metacyclic subgroups, gated by an escalating distance ladder. The reported d is the lowest weight found over multi-seed randomized information-set searches at 200k, 2M and 20M iterations; the recorded per-side witnesses come from the 20M pass and were re-verified to commute with the opposite check matrix and to lie outside the stabilizer.
family 2BGA coset (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

no research note was staged with this submission — notes are requested for new submissions (notes/README.md)

Parity checks

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