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[[490,20,70]] d ≤
n
490
k
20
d
70
kd²/n
200.0
w
32
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 70, d_Z ≤ 70 · w_X = 32, w_Z = 32 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 70 · witness weight 70 (claimed upper_bound)
witness operator (support, 70 qubits)
[1, 11, 14, 25, 32, 33, 43, 59, 62, 65, 67, 92, 103, 106, 113, 115, 139, 163, 178, 179, 202, 203, 206, 210, 211, 213, 215, 221, 226, 229, 239, 241, 253, 264, 265, 269, 275, 278, 279, 285, 288, 291, 300, 301, 305, 317, 319, 328, 330, 337, 349, 359, 363, 364, 368, 378, 389, 392, 395, 398, 406, 410, 412, 414, 422, 430, 432, 433, 436, 442]
d_Z 70 · witness weight 70 (claimed upper_bound)
witness operator (support, 70 qubits)
[48, 54, 57, 58, 60, 68, 76, 78, 80, 84, 92, 95, 98, 101, 112, 122, 126, 127, 131, 141, 153, 160, 162, 171, 173, 185, 189, 190, 199, 202, 205, 211, 212, 215, 221, 225, 226, 237, 249, 251, 261, 264, 269, 275, 277, 279, 280, 284, 287, 288, 311, 312, 327, 351, 375, 377, 384, 387, 398, 423, 425, 428, 431, 447, 457, 458, 465, 476, 479, 489]
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 32 · H_Z 32
qubit degrees H_X 11–21 (mean 16.0) · H_Z 11–21 (mean 16.0)
trapping sets H_X (1,11)×245 (2,16)×245 (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
(1,11): 245 (1,21): 245 (2,16): 245 (2,18): 1960 (2,20): 8820 (2,24): 980 (2,26): 2450 (2,28): 8575 (2,30): 28420 (2,34): 1715 (2,36): 3675 (2,38): 11515 (2,40): 9065
trapping sets H_Z (1,11)×245 (2,16)×245 (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
(1,11): 245 (1,21): 245 (2,16): 245 (2,18): 1960 (2,20): 8820 (2,24): 980 (2,26): 2450 (2,28): 8575 (2,30): 28420 (2,34): 1715 (2,36): 3675 (2,38): 11515 (2,40): 9065

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x245 - 1 with a(x) = x65 + x75 + x98 + x137 + x150 + x171 + x192 + x204 + x205 + x212 + x230, b(x) = x16 + x44 + x46 + x62 + x69 + x88 + x126 + x133 + x136 + x145 + x148 + x149 + x174 + x182 + x189 + x211 + x214 + x222 + x231 + x236 + x239; 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

[[490,20,70]] weight-32 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 32 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^245 - 1 a(x) = x^65 + x^75 + x^98 + x^137 + x^150 + x^171 + x^192 + x^204 + x^205 + x^212 + x^230 b(x) = x^16 + x^44 + x^46 + x^62 + x^69 + x^88 + x^126 + x^133 + x^136 + x^145 + x^148 + x^149 + x^174 + x^182 + x^189 + x^211 + x^214 + x^222 + x^231 + x^236 + x^239 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 = 200.0 at check weight 32. 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 245 (max weight 32) · Z-checks 245 (max weight 32)
H_X (245 checks, sparse supports)
[65, 75, 98, 137, 150, 171, 192, 204, 205, 212, 230, 261, 289, 291, 307, 314, 333, 371, 378, 381, 390, 393, 394, 419, 427, 434, 456, 459, 467, 476, 481, 484] [66, 76, 99, 138, 151, 172, 193, 205, 206, 213, 231, 262, 290, 292, 308, 315, 334, 372, 379, 382, 391, 394, 395, 420, 428, 435, 457, 460, 468, 477, 482, 485] [67, 77, 100, 139, 152, 173, 194, 206, 207, 214, 232, 263, 291, 293, 309, 316, 335, 373, 380, 383, 392, 395, 396, 421, 429, 436, 458, 461, 469, 478, 483, 486] [68, 78, 101, 140, 153, 174, 195, 207, 208, 215, 233, 264, 292, 294, 310, 317, 336, 374, 381, 384, 393, 396, 397, 422, 430, 437, 459, 462, 470, 479, 484, 487] [69, 79, 102, 141, 154, 175, 196, 208, 209, 216, 234, 265, 293, 295, 311, 318, 337, 375, 382, 385, 394, 397, 398, 423, 431, 438, 460, 463, 471, 480, 485, 488] [70, 80, 103, 142, 155, 176, 197, 209, 210, 217, 235, 266, 294, 296, 312, 319, 338, 376, 383, 386, 395, 398, 399, 424, 432, 439, 461, 464, 472, 481, 486, 489] [71, 81, 104, 143, 156, 177, 198, 210, 211, 218, 236, 245, 267, 295, 297, 313, 320, 339, 377, 384, 387, 396, 399, 400, 425, 433, 440, 462, 465, 473, 482, 487] [72, 82, 105, 144, 157, 178, 199, 211, 212, 219, 237, 246, 268, 296, 298, 314, 321, 340, 378, 385, 388, 397, 400, 401, 426, 434, 441, 463, 466, 474, 483, 488] [73, 83, 106, 145, 158, 179, 200, 212, 213, 220, 238, 247, 269, 297, 299, 315, 322, 341, 379, 386, 389, 398, 401, 402, 427, 435, 442, 464, 467, 475, 484, 489] [74, 84, 107, 146, 159, 180, 201, 213, 214, 221, 239, 245, 248, 270, 298, 300, 316, 323, 342, 380, 387, 390, 399, 402, 403, 428, 436, 443, 465, 468, 476, 485] [75, 85, 108, 147, 160, 181, 202, 214, 215, 222, 240, 246, 249, 271, 299, 301, 317, 324, 343, 381, 388, 391, 400, 403, 404, 429, 437, 444, 466, 469, 477, 486] [76, 86, 109, 148, 161, 182, 203, 215, 216, 223, 241, 247, 250, 272, 300, 302, 318, 325, 344, 382, 389, 392, 401, 404, 405, 430, 438, 445, 467, 470, 478, 487] [77, 87, 110, 149, 162, 183, 204, 216, 217, 224, 242, 248, 251, 273, 301, 303, 319, 326, 345, 383, 390, 393, 402, 405, 406, 431, 439, 446, 468, 471, 479, 488] [78, 88, 111, 150, 163, 184, 205, 217, 218, 225, 243, 249, 252, 274, 302, 304, 320, 327, 346, 384, 391, 394, 403, 406, 407, 432, 440, 447, 469, 472, 480, 489] [79, 89, 112, 151, 164, 185, 206, 218, 219, 226, 244, 245, 250, 253, 275, 303, 305, 321, 328, 347, 385, 392, 395, 404, 407, 408, 433, 441, 448, 470, 473, 481] [0, 80, 90, 113, 152, 165, 186, 207, 219, 220, 227, 246, 251, 254, 276, 304, 306, 322, 329, 348, 386, 393, 396, 405, 408, 409, 434, 442, 449, 471, 474, 482] [1, 81, 91, 114, 153, 166, 187, 208, 220, 221, 228, 247, 252, 255, 277, 305, 307, 323, 330, 349, 387, 394, 397, 406, 409, 410, 435, 443, 450, 472, 475, 483] [2, 82, 92, 115, 154, 167, 188, 209, 221, 222, 229, 248, 253, 256, 278, 306, 308, 324, 331, 350, 388, 395, 398, 407, 410, 411, 436, 444, 451, 473, 476, 484] [3, 83, 93, 116, 155, 168, 189, 210, 222, 223, 230, 249, 254, 257, 279, 307, 309, 325, 332, 351, 389, 396, 399, 408, 411, 412, 437, 445, 452, 474, 477, 485] [4, 84, 94, 117, 156, 169, 190, 211, 223, 224, 231, 250, 255, 258, 280, 308, 310, 326, 333, 352, 390, 397, 400, 409, 412, 413, 438, 446, 453, 475, 478, 486] [5, 85, 95, 118, 157, 170, 191, 212, 224, 225, 232, 251, 256, 259, 281, 309, 311, 327, 334, 353, 391, 398, 401, 410, 413, 414, 439, 447, 454, 476, 479, 487] [6, 86, 96, 119, 158, 171, 192, 213, 225, 226, 233, 252, 257, 260, 282, 310, 312, 328, 335, 354, 392, 399, 402, 411, 414, 415, 440, 448, 455, 477, 480, 488] [7, 87, 97, 120, 159, 172, 193, 214, 226, 227, 234, 253, 258, 261, 283, 311, 313, 329, 336, 355, 393, 400, 403, 412, 415, 416, 441, 449, 456, 478, 481, 489] [8, 88, 98, 121, 160, 173, 194, 215, 227, 228, 235, 245, 254, 259, 262, 284, 312, 314, 330, 337, 356, 394, 401, 404, 413, 416, 417, 442, 450, 457, 479, 482] [9, 89, 99, 122, 161, 174, 195, 216, 228, 229, 236, 246, 255, 260, 263, 285, 313, 315, 331, 338, 357, 395, 402, 405, 414, 417, 418, 443, 451, 458, 480, 483] [10, 90, 100, 123, 162, 175, 196, 217, 229, 230, 237, 247, 256, 261, 264, 286, 314, 316, 332, 339, 358, 396, 403, 406, 415, 418, 419, 444, 452, 459, 481, 484] [11, 91, 101, 124, 163, 176, 197, 218, 230, 231, 238, 248, 257, 262, 265, 287, 315, 317, 333, 340, 359, 397, 404, 407, 416, 419, 420, 445, 453, 460, 482, 485] [12, 92, 102, 125, 164, 177, 198, 219, 231, 232, 239, 249, 258, 263, 266, 288, 316, 318, 334, 341, 360, 398, 405, 408, 417, 420, 421, 446, 454, 461, 483, 486] [13, 93, 103, 126, 165, 178, 199, 220, 232, 233, 240, 250, 259, 264, 267, 289, 317, 319, 335, 342, 361, 399, 406, 409, 418, 421, 422, 447, 455, 462, 484, 487] [14, 94, 104, 127, 166, 179, 200, 221, 233, 234, 241, 251, 260, 265, 268, 290, 318, 320, 336, 343, 362, 400, 407, 410, 419, 422, 423, 448, 456, 463, 485, 488] [15, 95, 105, 128, 167, 180, 201, 222, 234, 235, 242, 252, 261, 266, 269, 291, 319, 321, 337, 344, 363, 401, 408, 411, 420, 423, 424, 449, 457, 464, 486, 489] [16, 96, 106, 129, 168, 181, 202, 223, 235, 236, 243, 245, 253, 262, 267, 270, 292, 320, 322, 338, 345, 364, 402, 409, 412, 421, 424, 425, 450, 458, 465, 487] [17, 97, 107, 130, 169, 182, 203, 224, 236, 237, 244, 246, 254, 263, 268, 271, 293, 321, 323, 339, 346, 365, 403, 410, 413, 422, 425, 426, 451, 459, 466, 488] [0, 18, 98, 108, 131, 170, 183, 204, 225, 237, 238, 247, 255, 264, 269, 272, 294, 322, 324, 340, 347, 366, 404, 411, 414, 423, 426, 427, 452, 460, 467, 489] [1, 19, 99, 109, 132, 171, 184, 205, 226, 238, 239, 245, 248, 256, 265, 270, 273, 295, 323, 325, 341, 348, 367, 405, 412, 415, 424, 427, 428, 453, 461, 468] [2, 20, 100, 110, 133, 172, 185, 206, 227, 239, 240, 246, 249, 257, 266, 271, 274, 296, 324, 326, 342, 349, 368, 406, 413, 416, 425, 428, 429, 454, 462, 469] [3, 21, 101, 111, 134, 173, 186, 207, 228, 240, 241, 247, 250, 258, 267, 272, 275, 297, 325, 327, 343, 350, 369, 407, 414, 417, 426, 429, 430, 455, 463, 470] [4, 22, 102, 112, 135, 174, 187, 208, 229, 241, 242, 248, 251, 259, 268, 273, 276, 298, 326, 328, 344, 351, 370, 408, 415, 418, 427, 430, 431, 456, 464, 471] [5, 23, 103, 113, 136, 175, 188, 209, 230, 242, 243, 249, 252, 260, 269, 274, 277, 299, 327, 329, 345, 352, 371, 409, 416, 419, 428, 431, 432, 457, 465, 472] [6, 24, 104, 114, 137, 176, 189, 210, 231, 243, 244, 250, 253, 261, 270, 275, 278, 300, 328, 330, 346, 353, 372, 410, 417, 420, 429, 432, 433, 458, 466, 473] [0, 7, 25, 105, 115, 138, 177, 190, 211, 232, 244, 251, 254, 262, 271, 276, 279, 301, 329, 331, 347, 354, 373, 411, 418, 421, 430, 433, 434, 459, 467, 474] [0, 1, 8, 26, 106, 116, 139, 178, 191, 212, 233, 252, 255, 263, 272, 277, 280, 302, 330, 332, 348, 355, 374, 412, 419, 422, 431, 434, 435, 460, 468, 475] [1, 2, 9, 27, 107, 117, 140, 179, 192, 213, 234, 253, 256, 264, 273, 278, 281, 303, 331, 333, 349, 356, 375, 413, 420, 423, 432, 435, 436, 461, 469, 476] [2, 3, 10, 28, 108, 118, 141, 180, 193, 214, 235, 254, 257, 265, 274, 279, 282, 304, 332, 334, 350, 357, 376, 414, 421, 424, 433, 436, 437, 462, 470, 477] [3, 4, 11, 29, 109, 119, 142, 181, 194, 215, 236, 255, 258, 266, 275, 280, 283, 305, 333, 335, 351, 358, 377, 415, 422, 425, 434, 437, 438, 463, 471, 478] [4, 5, 12, 30, 110, 120, 143, 182, 195, 216, 237, 256, 259, 267, 276, 281, 284, 306, 334, 336, 352, 359, 378, 416, 423, 426, 435, 438, 439, 464, 472, 479] [5, 6, 13, 31, 111, 121, 144, 183, 196, 217, 238, 257, 260, 268, 277, 282, 285, 307, 335, 337, 353, 360, 379, 417, 424, 427, 436, 439, 440, 465, 473, 480] [6, 7, 14, 32, 112, 122, 145, 184, 197, 218, 239, 258, 261, 269, 278, 283, 286, 308, 336, 338, 354, 361, 380, 418, 425, 428, 437, 440, 441, 466, 474, 481] [7, 8, 15, 33, 113, 123, 146, 185, 198, 219, 240, 259, 262, 270, 279, 284, 287, 309, 337, 339, 355, 362, 381, 419, 426, 429, 438, 441, 442, 467, 475, 482] [8, 9, 16, 34, 114, 124, 147, 186, 199, 220, 241, 260, 263, 271, 280, 285, 288, 310, 338, 340, 356, 363, 382, 420, 427, 430, 439, 442, 443, 468, 476, 483] [9, 10, 17, 35, 115, 125, 148, 187, 200, 221, 242, 261, 264, 272, 281, 286, 289, 311, 339, 341, 357, 364, 383, 421, 428, 431, 440, 443, 444, 469, 477, 484] [10, 11, 18, 36, 116, 126, 149, 188, 201, 222, 243, 262, 265, 273, 282, 287, 290, 312, 340, 342, 358, 365, 384, 422, 429, 432, 441, 444, 445, 470, 478, 485] [11, 12, 19, 37, 117, 127, 150, 189, 202, 223, 244, 263, 266, 274, 283, 288, 291, 313, 341, 343, 359, 366, 385, 423, 430, 433, 442, 445, 446, 471, 479, 486] [0, 12, 13, 20, 38, 118, 128, 151, 190, 203, 224, 264, 267, 275, 284, 289, 292, 314, 342, 344, 360, 367, 386, 424, 431, 434, 443, 446, 447, 472, 480, 487] [1, 13, 14, 21, 39, 119, 129, 152, 191, 204, 225, 265, 268, 276, 285, 290, 293, 315, 343, 345, 361, 368, 387, 425, 432, 435, 444, 447, 448, 473, 481, 488] [2, 14, 15, 22, 40, 120, 130, 153, 192, 205, 226, 266, 269, 277, 286, 291, 294, 316, 344, 346, 362, 369, 388, 426, 433, 436, 445, 448, 449, 474, 482, 489] [3, 15, 16, 23, 41, 121, 131, 154, 193, 206, 227, 245, 267, 270, 278, 287, 292, 295, 317, 345, 347, 363, 370, 389, 427, 434, 437, 446, 449, 450, 475, 483] [4, 16, 17, 24, 42, 122, 132, 155, 194, 207, 228, 246, 268, 271, 279, 288, 293, 296, 318, 346, 348, 364, 371, 390, 428, 435, 438, 447, 450, 451, 476, 484] [5, 17, 18, 25, 43, 123, 133, 156, 195, 208, 229, 247, 269, 272, 280, 289, 294, 297, 319, 347, 349, 365, 372, 391, 429, 436, 439, 448, 451, 452, 477, 485] [6, 18, 19, 26, 44, 124, 134, 157, 196, 209, 230, 248, 270, 273, 281, 290, 295, 298, 320, 348, 350, 366, 373, 392, 430, 437, 440, 449, 452, 453, 478, 486] [7, 19, 20, 27, 45, 125, 135, 158, 197, 210, 231, 249, 271, 274, 282, 291, 296, 299, 321, 349, 351, 367, 374, 393, 431, 438, 441, 450, 453, 454, 479, 487] [8, 20, 21, 28, 46, 126, 136, 159, 198, 211, 232, 250, 272, 275, 283, 292, 297, 300, 322, 350, 352, 368, 375, 394, 432, 439, 442, 451, 454, 455, 480, 488] [9, 21, 22, 29, 47, 127, 137, 160, 199, 212, 233, 251, 273, 276, 284, 293, 298, 301, 323, 351, 353, 369, 376, 395, 433, 440, 443, 452, 455, 456, 481, 489] [10, 22, 23, 30, 48, 128, 138, 161, 200, 213, 234, 245, 252, 274, 277, 285, 294, 299, 302, 324, 352, 354, 370, 377, 396, 434, 441, 444, 453, 456, 457, 482] [11, 23, 24, 31, 49, 129, 139, 162, 201, 214, 235, 246, 253, 275, 278, 286, 295, 300, 303, 325, 353, 355, 371, 378, 397, 435, 442, 445, 454, 457, 458, 483] [12, 24, 25, 32, 50, 130, 140, 163, 202, 215, 236, 247, 254, 276, 279, 287, 296, 301, 304, 326, 354, 356, 372, 379, 398, 436, 443, 446, 455, 458, 459, 484] [13, 25, 26, 33, 51, 131, 141, 164, 203, 216, 237, 248, 255, 277, 280, 288, 297, 302, 305, 327, 355, 357, 373, 380, 399, 437, 444, 447, 456, 459, 460, 485] [14, 26, 27, 34, 52, 132, 142, 165, 204, 217, 238, 249, 256, 278, 281, 289, 298, 303, 306, 328, 356, 358, 374, 381, 400, 438, 445, 448, 457, 460, 461, 486] [15, 27, 28, 35, 53, 133, 143, 166, 205, 218, 239, 250, 257, 279, 282, 290, 299, 304, 307, 329, 357, 359, 375, 382, 401, 439, 446, 449, 458, 461, 462, 487] [16, 28, 29, 36, 54, 134, 144, 167, 206, 219, 240, 251, 258, 280, 283, 291, 300, 305, 308, 330, 358, 360, 376, 383, 402, 440, 447, 450, 459, 462, 463, 488] [17, 29, 30, 37, 55, 135, 145, 168, 207, 220, 241, 252, 259, 281, 284, 292, 301, 306, 309, 331, 359, 361, 377, 384, 403, 441, 448, 451, 460, 463, 464, 489] [18, 30, 31, 38, 56, 136, 146, 169, 208, 221, 242, 245, 253, 260, 282, 285, 293, 302, 307, 310, 332, 360, 362, 378, 385, 404, 442, 449, 452, 461, 464, 465] [19, 31, 32, 39, 57, 137, 147, 170, 209, 222, 243, 246, 254, 261, 283, 286, 294, 303, 308, 311, 333, 361, 363, 379, 386, 405, 443, 450, 453, 462, 465, 466] [20, 32, 33, 40, 58, 138, 148, 171, 210, 223, 244, 247, 255, 262, 284, 287, 295, 304, 309, 312, 334, 362, 364, 380, 387, 406, 444, 451, 454, 463, 466, 467] [0, 21, 33, 34, 41, 59, 139, 149, 172, 211, 224, 248, 256, 263, 285, 288, 296, 305, 310, 313, 335, 363, 365, 381, 388, 407, 445, 452, 455, 464, 467, 468] [1, 22, 34, 35, 42, 60, 140, 150, 173, 212, 225, 249, 257, 264, 286, 289, 297, 306, 311, 314, 336, 364, 366, 382, 389, 408, 446, 453, 456, 465, 468, 469] [2, 23, 35, 36, 43, 61, 141, 151, 174, 213, 226, 250, 258, 265, 287, 290, 298, 307, 312, 315, 337, 365, 367, 383, 390, 409, 447, 454, 457, 466, 469, 470] [3, 24, 36, 37, 44, 62, 142, 152, 175, 214, 227, 251, 259, 266, 288, 291, 299, 308, 313, 316, 338, 366, 368, 384, 391, 410, 448, 455, 458, 467, 470, 471] [4, 25, 37, 38, 45, 63, 143, 153, 176, 215, 228, 252, 260, 267, 289, 292, 300, 309, 314, 317, 339, 367, 369, 385, 392, 411, 449, 456, 459, 468, 471, 472] [5, 26, 38, 39, 46, 64, 144, 154, 177, 216, 229, 253, 261, 268, 290, 293, 301, 310, 315, 318, 340, 368, 370, 386, 393, 412, 450, 457, 460, 469, 472, 473] [6, 27, 39, 40, 47, 65, 145, 155, 178, 217, 230, 254, 262, 269, 291, 294, 302, 311, 316, 319, 341, 369, 371, 387, 394, 413, 451, 458, 461, 470, 473, 474] [7, 28, 40, 41, 48, 66, 146, 156, 179, 218, 231, 255, 263, 270, 292, 295, 303, 312, 317, 320, 342, 370, 372, 388, 395, 414, 452, 459, 462, 471, 474, 475] [8, 29, 41, 42, 49, 67, 147, 157, 180, 219, 232, 256, 264, 271, 293, 296, 304, 313, 318, 321, 343, 371, 373, 389, 396, 415, 453, 460, 463, 472, 475, 476] [9, 30, 42, 43, 50, 68, 148, 158, 181, 220, 233, 257, 265, 272, 294, 297, 305, 314, 319, 322, 344, 372, 374, 390, 397, 416, 454, 461, 464, 473, 476, 477] [10, 31, 43, 44, 51, 69, 149, 159, 182, 221, 234, 258, 266, 273, 295, 298, 306, 315, 320, 323, 345, 373, 375, 391, 398, 417, 455, 462, 465, 474, 477, 478] [11, 32, 44, 45, 52, 70, 150, 160, 183, 222, 235, 259, 267, 274, 296, 299, 307, 316, 321, 324, 346, 374, 376, 392, 399, 418, 456, 463, 466, 475, 478, 479] [12, 33, 45, 46, 53, 71, 151, 161, 184, 223, 236, 260, 268, 275, 297, 300, 308, 317, 322, 325, 347, 375, 377, 393, 400, 419, 457, 464, 467, 476, 479, 480] [13, 34, 46, 47, 54, 72, 152, 162, 185, 224, 237, 261, 269, 276, 298, 301, 309, 318, 323, 326, 348, 376, 378, 394, 401, 420, 458, 465, 468, 477, 480, 481] [14, 35, 47, 48, 55, 73, 153, 163, 186, 225, 238, 262, 270, 277, 299, 302, 310, 319, 324, 327, 349, 377, 379, 395, 402, 421, 459, 466, 469, 478, 481, 482] [15, 36, 48, 49, 56, 74, 154, 164, 187, 226, 239, 263, 271, 278, 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146, 153, 171, 248, 255, 274, 312, 319, 322, 331, 334, 335, 360, 368, 375, 397, 400, 408, 417, 422, 425, 447, 475, 477] [7, 17, 40, 79, 92, 113, 134, 146, 147, 154, 172, 249, 256, 275, 313, 320, 323, 332, 335, 336, 361, 369, 376, 398, 401, 409, 418, 423, 426, 448, 476, 478] [8, 18, 41, 80, 93, 114, 135, 147, 148, 155, 173, 250, 257, 276, 314, 321, 324, 333, 336, 337, 362, 370, 377, 399, 402, 410, 419, 424, 427, 449, 477, 479] [9, 19, 42, 81, 94, 115, 136, 148, 149, 156, 174, 251, 258, 277, 315, 322, 325, 334, 337, 338, 363, 371, 378, 400, 403, 411, 420, 425, 428, 450, 478, 480] [10, 20, 43, 82, 95, 116, 137, 149, 150, 157, 175, 252, 259, 278, 316, 323, 326, 335, 338, 339, 364, 372, 379, 401, 404, 412, 421, 426, 429, 451, 479, 481] [11, 21, 44, 83, 96, 117, 138, 150, 151, 158, 176, 253, 260, 279, 317, 324, 327, 336, 339, 340, 365, 373, 380, 402, 405, 413, 422, 427, 430, 452, 480, 482] [12, 22, 45, 84, 97, 118, 139, 151, 152, 159, 177, 254, 261, 280, 318, 325, 328, 337, 340, 341, 366, 374, 381, 403, 406, 414, 423, 428, 431, 453, 481, 483] [13, 23, 46, 85, 98, 119, 140, 152, 153, 160, 178, 255, 262, 281, 319, 326, 329, 338, 341, 342, 367, 375, 382, 404, 407, 415, 424, 429, 432, 454, 482, 484] [14, 24, 47, 86, 99, 120, 141, 153, 154, 161, 179, 256, 263, 282, 320, 327, 330, 339, 342, 343, 368, 376, 383, 405, 408, 416, 425, 430, 433, 455, 483, 485] [15, 25, 48, 87, 100, 121, 142, 154, 155, 162, 180, 257, 264, 283, 321, 328, 331, 340, 343, 344, 369, 377, 384, 406, 409, 417, 426, 431, 434, 456, 484, 486] [16, 26, 49, 88, 101, 122, 143, 155, 156, 163, 181, 258, 265, 284, 322, 329, 332, 341, 344, 345, 370, 378, 385, 407, 410, 418, 427, 432, 435, 457, 485, 487] [17, 27, 50, 89, 102, 123, 144, 156, 157, 164, 182, 259, 266, 285, 323, 330, 333, 342, 345, 346, 371, 379, 386, 408, 411, 419, 428, 433, 436, 458, 486, 488] [18, 28, 51, 90, 103, 124, 145, 157, 158, 165, 183, 260, 267, 286, 324, 331, 334, 343, 346, 347, 372, 380, 387, 409, 412, 420, 429, 434, 437, 459, 487, 489] [19, 29, 52, 91, 104, 125, 146, 158, 159, 166, 184, 245, 261, 268, 287, 325, 332, 335, 344, 347, 348, 373, 381, 388, 410, 413, 421, 430, 435, 438, 460, 488] [20, 30, 53, 92, 105, 126, 147, 159, 160, 167, 185, 246, 262, 269, 288, 326, 333, 336, 345, 348, 349, 374, 382, 389, 411, 414, 422, 431, 436, 439, 461, 489] [21, 31, 54, 93, 106, 127, 148, 160, 161, 168, 186, 245, 247, 263, 270, 289, 327, 334, 337, 346, 349, 350, 375, 383, 390, 412, 415, 423, 432, 437, 440, 462] [22, 32, 55, 94, 107, 128, 149, 161, 162, 169, 187, 246, 248, 264, 271, 290, 328, 335, 338, 347, 350, 351, 376, 384, 391, 413, 416, 424, 433, 438, 441, 463] [23, 33, 56, 95, 108, 129, 150, 162, 163, 170, 188, 247, 249, 265, 272, 291, 329, 336, 339, 348, 351, 352, 377, 385, 392, 414, 417, 425, 434, 439, 442, 464] [24, 34, 57, 96, 109, 130, 151, 163, 164, 171, 189, 248, 250, 266, 273, 292, 330, 337, 340, 349, 352, 353, 378, 386, 393, 415, 418, 426, 435, 440, 443, 465] [25, 35, 58, 97, 110, 131, 152, 164, 165, 172, 190, 249, 251, 267, 274, 293, 331, 338, 341, 350, 353, 354, 379, 387, 394, 416, 419, 427, 436, 441, 444, 466] [26, 36, 59, 98, 111, 132, 153, 165, 166, 173, 191, 250, 252, 268, 275, 294, 332, 339, 342, 351, 354, 355, 380, 388, 395, 417, 420, 428, 437, 442, 445, 467] [27, 37, 60, 99, 112, 133, 154, 166, 167, 174, 192, 251, 253, 269, 276, 295, 333, 340, 343, 352, 355, 356, 381, 389, 396, 418, 421, 429, 438, 443, 446, 468] [28, 38, 61, 100, 113, 134, 155, 167, 168, 175, 193, 252, 254, 270, 277, 296, 334, 341, 344, 353, 356, 357, 382, 390, 397, 419, 422, 430, 439, 444, 447, 469] [29, 39, 62, 101, 114, 135, 156, 168, 169, 176, 194, 253, 255, 271, 278, 297, 335, 342, 345, 354, 357, 358, 383, 391, 398, 420, 423, 431, 440, 445, 448, 470] [30, 40, 63, 102, 115, 136, 157, 169, 170, 177, 195, 254, 256, 272, 279, 298, 336, 343, 346, 355, 358, 359, 384, 392, 399, 421, 424, 432, 441, 446, 449, 471] [31, 41, 64, 103, 116, 137, 158, 170, 171, 178, 196, 255, 257, 273, 280, 299, 337, 344, 347, 356, 359, 360, 385, 393, 400, 422, 425, 433, 442, 447, 450, 472] [32, 42, 65, 104, 117, 138, 159, 171, 172, 179, 197, 256, 258, 274, 281, 300, 338, 345, 348, 357, 360, 361, 386, 394, 401, 423, 426, 434, 443, 448, 451, 473] [33, 43, 66, 105, 118, 139, 160, 172, 173, 180, 198, 257, 259, 275, 282, 301, 339, 346, 349, 358, 361, 362, 387, 395, 402, 424, 427, 435, 444, 449, 452, 474] [34, 44, 67, 106, 119, 140, 161, 173, 174, 181, 199, 258, 260, 276, 283, 302, 340, 347, 350, 359, 362, 363, 388, 396, 403, 425, 428, 436, 445, 450, 453, 475] [35, 45, 68, 107, 120, 141, 162, 174, 175, 182, 200, 259, 261, 277, 284, 303, 341, 348, 351, 360, 363, 364, 389, 397, 404, 426, 429, 437, 446, 451, 454, 476] [36, 46, 69, 108, 121, 142, 163, 175, 176, 183, 201, 260, 262, 278, 285, 304, 342, 349, 352, 361, 364, 365, 390, 398, 405, 427, 430, 438, 447, 452, 455, 477] [37, 47, 70, 109, 122, 143, 164, 176, 177, 184, 202, 261, 263, 279, 286, 305, 343, 350, 353, 362, 365, 366, 391, 399, 406, 428, 431, 439, 448, 453, 456, 478] [38, 48, 71, 110, 123, 144, 165, 177, 178, 185, 203, 262, 264, 280, 287, 306, 344, 351, 354, 363, 366, 367, 392, 400, 407, 429, 432, 440, 449, 454, 457, 479] [39, 49, 72, 111, 124, 145, 166, 178, 179, 186, 204, 263, 265, 281, 288, 307, 345, 352, 355, 364, 367, 368, 393, 401, 408, 430, 433, 441, 450, 455, 458, 480] [40, 50, 73, 112, 125, 146, 167, 179, 180, 187, 205, 264, 266, 282, 289, 308, 346, 353, 356, 365, 368, 369, 394, 402, 409, 431, 434, 442, 451, 456, 459, 481] [41, 51, 74, 113, 126, 147, 168, 180, 181, 188, 206, 265, 267, 283, 290, 309, 347, 354, 357, 366, 369, 370, 395, 403, 410, 432, 435, 443, 452, 457, 460, 482] [42, 52, 75, 114, 127, 148, 169, 181, 182, 189, 207, 266, 268, 284, 291, 310, 348, 355, 358, 367, 370, 371, 396, 404, 411, 433, 436, 444, 453, 458, 461, 483] [43, 53, 76, 115, 128, 149, 170, 182, 183, 190, 208, 267, 269, 285, 292, 311, 349, 356, 359, 368, 371, 372, 397, 405, 412, 434, 437, 445, 454, 459, 462, 484] [44, 54, 77, 116, 129, 150, 171, 183, 184, 191, 209, 268, 270, 286, 293, 312, 350, 357, 360, 369, 372, 373, 398, 406, 413, 435, 438, 446, 455, 460, 463, 485] [45, 55, 78, 117, 130, 151, 172, 184, 185, 192, 210, 269, 271, 287, 294, 313, 351, 358, 361, 370, 373, 374, 399, 407, 414, 436, 439, 447, 456, 461, 464, 486] [46, 56, 79, 118, 131, 152, 173, 185, 186, 193, 211, 270, 272, 288, 295, 314, 352, 359, 362, 371, 374, 375, 400, 408, 415, 437, 440, 448, 457, 462, 465, 487] [47, 57, 80, 119, 132, 153, 174, 186, 187, 194, 212, 271, 273, 289, 296, 315, 353, 360, 363, 372, 375, 376, 401, 409, 416, 438, 441, 449, 458, 463, 466, 488] [48, 58, 81, 120, 133, 154, 175, 187, 188, 195, 213, 272, 274, 290, 297, 316, 354, 361, 364, 373, 376, 377, 402, 410, 417, 439, 442, 450, 459, 464, 467, 489] [49, 59, 82, 121, 134, 155, 176, 188, 189, 196, 214, 245, 273, 275, 291, 298, 317, 355, 362, 365, 374, 377, 378, 403, 411, 418, 440, 443, 451, 460, 465, 468] [50, 60, 83, 122, 135, 156, 177, 189, 190, 197, 215, 246, 274, 276, 292, 299, 318, 356, 363, 366, 375, 378, 379, 404, 412, 419, 441, 444, 452, 461, 466, 469] [51, 61, 84, 123, 136, 157, 178, 190, 191, 198, 216, 247, 275, 277, 293, 300, 319, 357, 364, 367, 376, 379, 380, 405, 413, 420, 442, 445, 453, 462, 467, 470] [52, 62, 85, 124, 137, 158, 179, 191, 192, 199, 217, 248, 276, 278, 294, 301, 320, 358, 365, 368, 377, 380, 381, 406, 414, 421, 443, 446, 454, 463, 468, 471] [53, 63, 86, 125, 138, 159, 180, 192, 193, 200, 218, 249, 277, 279, 295, 302, 321, 359, 366, 369, 378, 381, 382, 407, 415, 422, 444, 447, 455, 464, 469, 472] [54, 64, 87, 126, 139, 160, 181, 193, 194, 201, 219, 250, 278, 280, 296, 303, 322, 360, 367, 370, 379, 382, 383, 408, 416, 423, 445, 448, 456, 465, 470, 473] [55, 65, 88, 127, 140, 161, 182, 194, 195, 202, 220, 251, 279, 281, 297, 304, 323, 361, 368, 371, 380, 383, 384, 409, 417, 424, 446, 449, 457, 466, 471, 474] [56, 66, 89, 128, 141, 162, 183, 195, 196, 203, 221, 252, 280, 282, 298, 305, 324, 362, 369, 372, 381, 384, 385, 410, 418, 425, 447, 450, 458, 467, 472, 475] [57, 67, 90, 129, 142, 163, 184, 196, 197, 204, 222, 253, 281, 283, 299, 306, 325, 363, 370, 373, 382, 385, 386, 411, 419, 426, 448, 451, 459, 468, 473, 476] [58, 68, 91, 130, 143, 164, 185, 197, 198, 205, 223, 254, 282, 284, 300, 307, 326, 364, 371, 374, 383, 386, 387, 412, 420, 427, 449, 452, 460, 469, 474, 477] [59, 69, 92, 131, 144, 165, 186, 198, 199, 206, 224, 255, 283, 285, 301, 308, 327, 365, 372, 375, 384, 387, 388, 413, 421, 428, 450, 453, 461, 470, 475, 478] [60, 70, 93, 132, 145, 166, 187, 199, 200, 207, 225, 256, 284, 286, 302, 309, 328, 366, 373, 376, 385, 388, 389, 414, 422, 429, 451, 454, 462, 471, 476, 479] [61, 71, 94, 133, 146, 167, 188, 200, 201, 208, 226, 257, 285, 287, 303, 310, 329, 367, 374, 377, 386, 389, 390, 415, 423, 430, 452, 455, 463, 472, 477, 480] [62, 72, 95, 134, 147, 168, 189, 201, 202, 209, 227, 258, 286, 288, 304, 311, 330, 368, 375, 378, 387, 390, 391, 416, 424, 431, 453, 456, 464, 473, 478, 481] [63, 73, 96, 135, 148, 169, 190, 202, 203, 210, 228, 259, 287, 289, 305, 312, 331, 369, 376, 379, 388, 391, 392, 417, 425, 432, 454, 457, 465, 474, 479, 482] [64, 74, 97, 136, 149, 170, 191, 203, 204, 211, 229, 260, 288, 290, 306, 313, 332, 370, 377, 380, 389, 392, 393, 418, 426, 433, 455, 458, 466, 475, 480, 483]
H_Z (245 checks, sparse supports)
[6, 9, 14, 23, 31, 34, 56, 63, 71, 96, 97, 100, 109, 112, 119, 157, 176, 183, 199, 201, 229, 260, 278, 285, 286, 298, 319, 340, 353, 392, 415, 425] [7, 10, 15, 24, 32, 35, 57, 64, 72, 97, 98, 101, 110, 113, 120, 158, 177, 184, 200, 202, 230, 261, 279, 286, 287, 299, 320, 341, 354, 393, 416, 426] [8, 11, 16, 25, 33, 36, 58, 65, 73, 98, 99, 102, 111, 114, 121, 159, 178, 185, 201, 203, 231, 262, 280, 287, 288, 300, 321, 342, 355, 394, 417, 427] [9, 12, 17, 26, 34, 37, 59, 66, 74, 99, 100, 103, 112, 115, 122, 160, 179, 186, 202, 204, 232, 263, 281, 288, 289, 301, 322, 343, 356, 395, 418, 428] [10, 13, 18, 27, 35, 38, 60, 67, 75, 100, 101, 104, 113, 116, 123, 161, 180, 187, 203, 205, 233, 264, 282, 289, 290, 302, 323, 344, 357, 396, 419, 429] [11, 14, 19, 28, 36, 39, 61, 68, 76, 101, 102, 105, 114, 117, 124, 162, 181, 188, 204, 206, 234, 265, 283, 290, 291, 303, 324, 345, 358, 397, 420, 430] [12, 15, 20, 29, 37, 40, 62, 69, 77, 102, 103, 106, 115, 118, 125, 163, 182, 189, 205, 207, 235, 266, 284, 291, 292, 304, 325, 346, 359, 398, 421, 431] [13, 16, 21, 30, 38, 41, 63, 70, 78, 103, 104, 107, 116, 119, 126, 164, 183, 190, 206, 208, 236, 267, 285, 292, 293, 305, 326, 347, 360, 399, 422, 432] [14, 17, 22, 31, 39, 42, 64, 71, 79, 104, 105, 108, 117, 120, 127, 165, 184, 191, 207, 209, 237, 268, 286, 293, 294, 306, 327, 348, 361, 400, 423, 433] [15, 18, 23, 32, 40, 43, 65, 72, 80, 105, 106, 109, 118, 121, 128, 166, 185, 192, 208, 210, 238, 269, 287, 294, 295, 307, 328, 349, 362, 401, 424, 434] [16, 19, 24, 33, 41, 44, 66, 73, 81, 106, 107, 110, 119, 122, 129, 167, 186, 193, 209, 211, 239, 270, 288, 295, 296, 308, 329, 350, 363, 402, 425, 435] [17, 20, 25, 34, 42, 45, 67, 74, 82, 107, 108, 111, 120, 123, 130, 168, 187, 194, 210, 212, 240, 271, 289, 296, 297, 309, 330, 351, 364, 403, 426, 436] [18, 21, 26, 35, 43, 46, 68, 75, 83, 108, 109, 112, 121, 124, 131, 169, 188, 195, 211, 213, 241, 272, 290, 297, 298, 310, 331, 352, 365, 404, 427, 437] [19, 22, 27, 36, 44, 47, 69, 76, 84, 109, 110, 113, 122, 125, 132, 170, 189, 196, 212, 214, 242, 273, 291, 298, 299, 311, 332, 353, 366, 405, 428, 438] [20, 23, 28, 37, 45, 48, 70, 77, 85, 110, 111, 114, 123, 126, 133, 171, 190, 197, 213, 215, 243, 274, 292, 299, 300, 312, 333, 354, 367, 406, 429, 439] [21, 24, 29, 38, 46, 49, 71, 78, 86, 111, 112, 115, 124, 127, 134, 172, 191, 198, 214, 216, 244, 275, 293, 300, 301, 313, 334, 355, 368, 407, 430, 440] [0, 22, 25, 30, 39, 47, 50, 72, 79, 87, 112, 113, 116, 125, 128, 135, 173, 192, 199, 215, 217, 276, 294, 301, 302, 314, 335, 356, 369, 408, 431, 441] [1, 23, 26, 31, 40, 48, 51, 73, 80, 88, 113, 114, 117, 126, 129, 136, 174, 193, 200, 216, 218, 277, 295, 302, 303, 315, 336, 357, 370, 409, 432, 442] [2, 24, 27, 32, 41, 49, 52, 74, 81, 89, 114, 115, 118, 127, 130, 137, 175, 194, 201, 217, 219, 278, 296, 303, 304, 316, 337, 358, 371, 410, 433, 443] [3, 25, 28, 33, 42, 50, 53, 75, 82, 90, 115, 116, 119, 128, 131, 138, 176, 195, 202, 218, 220, 279, 297, 304, 305, 317, 338, 359, 372, 411, 434, 444] [4, 26, 29, 34, 43, 51, 54, 76, 83, 91, 116, 117, 120, 129, 132, 139, 177, 196, 203, 219, 221, 280, 298, 305, 306, 318, 339, 360, 373, 412, 435, 445] [5, 27, 30, 35, 44, 52, 55, 77, 84, 92, 117, 118, 121, 130, 133, 140, 178, 197, 204, 220, 222, 281, 299, 306, 307, 319, 340, 361, 374, 413, 436, 446] [6, 28, 31, 36, 45, 53, 56, 78, 85, 93, 118, 119, 122, 131, 134, 141, 179, 198, 205, 221, 223, 282, 300, 307, 308, 320, 341, 362, 375, 414, 437, 447] [7, 29, 32, 37, 46, 54, 57, 79, 86, 94, 119, 120, 123, 132, 135, 142, 180, 199, 206, 222, 224, 283, 301, 308, 309, 321, 342, 363, 376, 415, 438, 448] [8, 30, 33, 38, 47, 55, 58, 80, 87, 95, 120, 121, 124, 133, 136, 143, 181, 200, 207, 223, 225, 284, 302, 309, 310, 322, 343, 364, 377, 416, 439, 449] [9, 31, 34, 39, 48, 56, 59, 81, 88, 96, 121, 122, 125, 134, 137, 144, 182, 201, 208, 224, 226, 285, 303, 310, 311, 323, 344, 365, 378, 417, 440, 450] [10, 32, 35, 40, 49, 57, 60, 82, 89, 97, 122, 123, 126, 135, 138, 145, 183, 202, 209, 225, 227, 286, 304, 311, 312, 324, 345, 366, 379, 418, 441, 451] [11, 33, 36, 41, 50, 58, 61, 83, 90, 98, 123, 124, 127, 136, 139, 146, 184, 203, 210, 226, 228, 287, 305, 312, 313, 325, 346, 367, 380, 419, 442, 452] [12, 34, 37, 42, 51, 59, 62, 84, 91, 99, 124, 125, 128, 137, 140, 147, 185, 204, 211, 227, 229, 288, 306, 313, 314, 326, 347, 368, 381, 420, 443, 453] [13, 35, 38, 43, 52, 60, 63, 85, 92, 100, 125, 126, 129, 138, 141, 148, 186, 205, 212, 228, 230, 289, 307, 314, 315, 327, 348, 369, 382, 421, 444, 454] [14, 36, 39, 44, 53, 61, 64, 86, 93, 101, 126, 127, 130, 139, 142, 149, 187, 206, 213, 229, 231, 290, 308, 315, 316, 328, 349, 370, 383, 422, 445, 455] [15, 37, 40, 45, 54, 62, 65, 87, 94, 102, 127, 128, 131, 140, 143, 150, 188, 207, 214, 230, 232, 291, 309, 316, 317, 329, 350, 371, 384, 423, 446, 456] [16, 38, 41, 46, 55, 63, 66, 88, 95, 103, 128, 129, 132, 141, 144, 151, 189, 208, 215, 231, 233, 292, 310, 317, 318, 330, 351, 372, 385, 424, 447, 457] [17, 39, 42, 47, 56, 64, 67, 89, 96, 104, 129, 130, 133, 142, 145, 152, 190, 209, 216, 232, 234, 293, 311, 318, 319, 331, 352, 373, 386, 425, 448, 458] [18, 40, 43, 48, 57, 65, 68, 90, 97, 105, 130, 131, 134, 143, 146, 153, 191, 210, 217, 233, 235, 294, 312, 319, 320, 332, 353, 374, 387, 426, 449, 459] [19, 41, 44, 49, 58, 66, 69, 91, 98, 106, 131, 132, 135, 144, 147, 154, 192, 211, 218, 234, 236, 295, 313, 320, 321, 333, 354, 375, 388, 427, 450, 460] [20, 42, 45, 50, 59, 67, 70, 92, 99, 107, 132, 133, 136, 145, 148, 155, 193, 212, 219, 235, 237, 296, 314, 321, 322, 334, 355, 376, 389, 428, 451, 461] [21, 43, 46, 51, 60, 68, 71, 93, 100, 108, 133, 134, 137, 146, 149, 156, 194, 213, 220, 236, 238, 297, 315, 322, 323, 335, 356, 377, 390, 429, 452, 462] [22, 44, 47, 52, 61, 69, 72, 94, 101, 109, 134, 135, 138, 147, 150, 157, 195, 214, 221, 237, 239, 298, 316, 323, 324, 336, 357, 378, 391, 430, 453, 463] [23, 45, 48, 53, 62, 70, 73, 95, 102, 110, 135, 136, 139, 148, 151, 158, 196, 215, 222, 238, 240, 299, 317, 324, 325, 337, 358, 379, 392, 431, 454, 464] [24, 46, 49, 54, 63, 71, 74, 96, 103, 111, 136, 137, 140, 149, 152, 159, 197, 216, 223, 239, 241, 300, 318, 325, 326, 338, 359, 380, 393, 432, 455, 465] [25, 47, 50, 55, 64, 72, 75, 97, 104, 112, 137, 138, 141, 150, 153, 160, 198, 217, 224, 240, 242, 301, 319, 326, 327, 339, 360, 381, 394, 433, 456, 466] [26, 48, 51, 56, 65, 73, 76, 98, 105, 113, 138, 139, 142, 151, 154, 161, 199, 218, 225, 241, 243, 302, 320, 327, 328, 340, 361, 382, 395, 434, 457, 467] [27, 49, 52, 57, 66, 74, 77, 99, 106, 114, 139, 140, 143, 152, 155, 162, 200, 219, 226, 242, 244, 303, 321, 328, 329, 341, 362, 383, 396, 435, 458, 468] [0, 28, 50, 53, 58, 67, 75, 78, 100, 107, 115, 140, 141, 144, 153, 156, 163, 201, 220, 227, 243, 304, 322, 329, 330, 342, 363, 384, 397, 436, 459, 469] [1, 29, 51, 54, 59, 68, 76, 79, 101, 108, 116, 141, 142, 145, 154, 157, 164, 202, 221, 228, 244, 305, 323, 330, 331, 343, 364, 385, 398, 437, 460, 470] [0, 2, 30, 52, 55, 60, 69, 77, 80, 102, 109, 117, 142, 143, 146, 155, 158, 165, 203, 222, 229, 306, 324, 331, 332, 344, 365, 386, 399, 438, 461, 471] [1, 3, 31, 53, 56, 61, 70, 78, 81, 103, 110, 118, 143, 144, 147, 156, 159, 166, 204, 223, 230, 307, 325, 332, 333, 345, 366, 387, 400, 439, 462, 472] [2, 4, 32, 54, 57, 62, 71, 79, 82, 104, 111, 119, 144, 145, 148, 157, 160, 167, 205, 224, 231, 308, 326, 333, 334, 346, 367, 388, 401, 440, 463, 473] [3, 5, 33, 55, 58, 63, 72, 80, 83, 105, 112, 120, 145, 146, 149, 158, 161, 168, 206, 225, 232, 309, 327, 334, 335, 347, 368, 389, 402, 441, 464, 474] [4, 6, 34, 56, 59, 64, 73, 81, 84, 106, 113, 121, 146, 147, 150, 159, 162, 169, 207, 226, 233, 310, 328, 335, 336, 348, 369, 390, 403, 442, 465, 475] [5, 7, 35, 57, 60, 65, 74, 82, 85, 107, 114, 122, 147, 148, 151, 160, 163, 170, 208, 227, 234, 311, 329, 336, 337, 349, 370, 391, 404, 443, 466, 476] [6, 8, 36, 58, 61, 66, 75, 83, 86, 108, 115, 123, 148, 149, 152, 161, 164, 171, 209, 228, 235, 312, 330, 337, 338, 350, 371, 392, 405, 444, 467, 477] [7, 9, 37, 59, 62, 67, 76, 84, 87, 109, 116, 124, 149, 150, 153, 162, 165, 172, 210, 229, 236, 313, 331, 338, 339, 351, 372, 393, 406, 445, 468, 478] [8, 10, 38, 60, 63, 68, 77, 85, 88, 110, 117, 125, 150, 151, 154, 163, 166, 173, 211, 230, 237, 314, 332, 339, 340, 352, 373, 394, 407, 446, 469, 479] [9, 11, 39, 61, 64, 69, 78, 86, 89, 111, 118, 126, 151, 152, 155, 164, 167, 174, 212, 231, 238, 315, 333, 340, 341, 353, 374, 395, 408, 447, 470, 480] [10, 12, 40, 62, 65, 70, 79, 87, 90, 112, 119, 127, 152, 153, 156, 165, 168, 175, 213, 232, 239, 316, 334, 341, 342, 354, 375, 396, 409, 448, 471, 481] [11, 13, 41, 63, 66, 71, 80, 88, 91, 113, 120, 128, 153, 154, 157, 166, 169, 176, 214, 233, 240, 317, 335, 342, 343, 355, 376, 397, 410, 449, 472, 482] [12, 14, 42, 64, 67, 72, 81, 89, 92, 114, 121, 129, 154, 155, 158, 167, 170, 177, 215, 234, 241, 318, 336, 343, 344, 356, 377, 398, 411, 450, 473, 483] [13, 15, 43, 65, 68, 73, 82, 90, 93, 115, 122, 130, 155, 156, 159, 168, 171, 178, 216, 235, 242, 319, 337, 344, 345, 357, 378, 399, 412, 451, 474, 484] [14, 16, 44, 66, 69, 74, 83, 91, 94, 116, 123, 131, 156, 157, 160, 169, 172, 179, 217, 236, 243, 320, 338, 345, 346, 358, 379, 400, 413, 452, 475, 485] [15, 17, 45, 67, 70, 75, 84, 92, 95, 117, 124, 132, 157, 158, 161, 170, 173, 180, 218, 237, 244, 321, 339, 346, 347, 359, 380, 401, 414, 453, 476, 486] [0, 16, 18, 46, 68, 71, 76, 85, 93, 96, 118, 125, 133, 158, 159, 162, 171, 174, 181, 219, 238, 322, 340, 347, 348, 360, 381, 402, 415, 454, 477, 487] [1, 17, 19, 47, 69, 72, 77, 86, 94, 97, 119, 126, 134, 159, 160, 163, 172, 175, 182, 220, 239, 323, 341, 348, 349, 361, 382, 403, 416, 455, 478, 488] [2, 18, 20, 48, 70, 73, 78, 87, 95, 98, 120, 127, 135, 160, 161, 164, 173, 176, 183, 221, 240, 324, 342, 349, 350, 362, 383, 404, 417, 456, 479, 489] [3, 19, 21, 49, 71, 74, 79, 88, 96, 99, 121, 128, 136, 161, 162, 165, 174, 177, 184, 222, 241, 245, 325, 343, 350, 351, 363, 384, 405, 418, 457, 480] [4, 20, 22, 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89, 108, 115, 131, 133, 161, 183, 186, 191, 200, 208, 211, 233, 240, 251, 272, 285, 324, 347, 357, 437, 455, 462, 463, 475] [4, 29, 30, 33, 42, 45, 52, 90, 109, 116, 132, 134, 162, 184, 187, 192, 201, 209, 212, 234, 241, 252, 273, 286, 325, 348, 358, 438, 456, 463, 464, 476] [5, 30, 31, 34, 43, 46, 53, 91, 110, 117, 133, 135, 163, 185, 188, 193, 202, 210, 213, 235, 242, 253, 274, 287, 326, 349, 359, 439, 457, 464, 465, 477] [6, 31, 32, 35, 44, 47, 54, 92, 111, 118, 134, 136, 164, 186, 189, 194, 203, 211, 214, 236, 243, 254, 275, 288, 327, 350, 360, 440, 458, 465, 466, 478] [7, 32, 33, 36, 45, 48, 55, 93, 112, 119, 135, 137, 165, 187, 190, 195, 204, 212, 215, 237, 244, 255, 276, 289, 328, 351, 361, 441, 459, 466, 467, 479] [0, 8, 33, 34, 37, 46, 49, 56, 94, 113, 120, 136, 138, 166, 188, 191, 196, 205, 213, 216, 238, 256, 277, 290, 329, 352, 362, 442, 460, 467, 468, 480] [1, 9, 34, 35, 38, 47, 50, 57, 95, 114, 121, 137, 139, 167, 189, 192, 197, 206, 214, 217, 239, 257, 278, 291, 330, 353, 363, 443, 461, 468, 469, 481] [2, 10, 35, 36, 39, 48, 51, 58, 96, 115, 122, 138, 140, 168, 190, 193, 198, 207, 215, 218, 240, 258, 279, 292, 331, 354, 364, 444, 462, 469, 470, 482] [3, 11, 36, 37, 40, 49, 52, 59, 97, 116, 123, 139, 141, 169, 191, 194, 199, 208, 216, 219, 241, 259, 280, 293, 332, 355, 365, 445, 463, 470, 471, 483] [4, 12, 37, 38, 41, 50, 53, 60, 98, 117, 124, 140, 142, 170, 192, 195, 200, 209, 217, 220, 242, 260, 281, 294, 333, 356, 366, 446, 464, 471, 472, 484] [5, 13, 38, 39, 42, 51, 54, 61, 99, 118, 125, 141, 143, 171, 193, 196, 201, 210, 218, 221, 243, 261, 282, 295, 334, 357, 367, 447, 465, 472, 473, 485] [6, 14, 39, 40, 43, 52, 55, 62, 100, 119, 126, 142, 144, 172, 194, 197, 202, 211, 219, 222, 244, 262, 283, 296, 335, 358, 368, 448, 466, 473, 474, 486] [0, 7, 15, 40, 41, 44, 53, 56, 63, 101, 120, 127, 143, 145, 173, 195, 198, 203, 212, 220, 223, 263, 284, 297, 336, 359, 369, 449, 467, 474, 475, 487] [1, 8, 16, 41, 42, 45, 54, 57, 64, 102, 121, 128, 144, 146, 174, 196, 199, 204, 213, 221, 224, 264, 285, 298, 337, 360, 370, 450, 468, 475, 476, 488] [2, 9, 17, 42, 43, 46, 55, 58, 65, 103, 122, 129, 145, 147, 175, 197, 200, 205, 214, 222, 225, 265, 286, 299, 338, 361, 371, 451, 469, 476, 477, 489] [3, 10, 18, 43, 44, 47, 56, 59, 66, 104, 123, 130, 146, 148, 176, 198, 201, 206, 215, 223, 226, 245, 266, 287, 300, 339, 362, 372, 452, 470, 477, 478] [4, 11, 19, 44, 45, 48, 57, 60, 67, 105, 124, 131, 147, 149, 177, 199, 202, 207, 216, 224, 227, 246, 267, 288, 301, 340, 363, 373, 453, 471, 478, 479] [5, 12, 20, 45, 46, 49, 58, 61, 68, 106, 125, 132, 148, 150, 178, 200, 203, 208, 217, 225, 228, 247, 268, 289, 302, 341, 364, 374, 454, 472, 479, 480] [6, 13, 21, 46, 47, 50, 59, 62, 69, 107, 126, 133, 149, 151, 179, 201, 204, 209, 218, 226, 229, 248, 269, 290, 303, 342, 365, 375, 455, 473, 480, 481] [7, 14, 22, 47, 48, 51, 60, 63, 70, 108, 127, 134, 150, 152, 180, 202, 205, 210, 219, 227, 230, 249, 270, 291, 304, 343, 366, 376, 456, 474, 481, 482] [8, 15, 23, 48, 49, 52, 61, 64, 71, 109, 128, 135, 151, 153, 181, 203, 206, 211, 220, 228, 231, 250, 271, 292, 305, 344, 367, 377, 457, 475, 482, 483] [9, 16, 24, 49, 50, 53, 62, 65, 72, 110, 129, 136, 152, 154, 182, 204, 207, 212, 221, 229, 232, 251, 272, 293, 306, 345, 368, 378, 458, 476, 483, 484] [10, 17, 25, 50, 51, 54, 63, 66, 73, 111, 130, 137, 153, 155, 183, 205, 208, 213, 222, 230, 233, 252, 273, 294, 307, 346, 369, 379, 459, 477, 484, 485] [11, 18, 26, 51, 52, 55, 64, 67, 74, 112, 131, 138, 154, 156, 184, 206, 209, 214, 223, 231, 234, 253, 274, 295, 308, 347, 370, 380, 460, 478, 485, 486] [12, 19, 27, 52, 53, 56, 65, 68, 75, 113, 132, 139, 155, 157, 185, 207, 210, 215, 224, 232, 235, 254, 275, 296, 309, 348, 371, 381, 461, 479, 486, 487] [13, 20, 28, 53, 54, 57, 66, 69, 76, 114, 133, 140, 156, 158, 186, 208, 211, 216, 225, 233, 236, 255, 276, 297, 310, 349, 372, 382, 462, 480, 487, 488] [14, 21, 29, 54, 55, 58, 67, 70, 77, 115, 134, 141, 157, 159, 187, 209, 212, 217, 226, 234, 237, 256, 277, 298, 311, 350, 373, 383, 463, 481, 488, 489] [15, 22, 30, 55, 56, 59, 68, 71, 78, 116, 135, 142, 158, 160, 188, 210, 213, 218, 227, 235, 238, 245, 257, 278, 299, 312, 351, 374, 384, 464, 482, 489] [16, 23, 31, 56, 57, 60, 69, 72, 79, 117, 136, 143, 159, 161, 189, 211, 214, 219, 228, 236, 239, 245, 246, 258, 279, 300, 313, 352, 375, 385, 465, 483] [17, 24, 32, 57, 58, 61, 70, 73, 80, 118, 137, 144, 160, 162, 190, 212, 215, 220, 229, 237, 240, 246, 247, 259, 280, 301, 314, 353, 376, 386, 466, 484] [18, 25, 33, 58, 59, 62, 71, 74, 81, 119, 138, 145, 161, 163, 191, 213, 216, 221, 230, 238, 241, 247, 248, 260, 281, 302, 315, 354, 377, 387, 467, 485] [19, 26, 34, 59, 60, 63, 72, 75, 82, 120, 139, 146, 162, 164, 192, 214, 217, 222, 231, 239, 242, 248, 249, 261, 282, 303, 316, 355, 378, 388, 468, 486] [20, 27, 35, 60, 61, 64, 73, 76, 83, 121, 140, 147, 163, 165, 193, 215, 218, 223, 232, 240, 243, 249, 250, 262, 283, 304, 317, 356, 379, 389, 469, 487] [21, 28, 36, 61, 62, 65, 74, 77, 84, 122, 141, 148, 164, 166, 194, 216, 219, 224, 233, 241, 244, 250, 251, 263, 284, 305, 318, 357, 380, 390, 470, 488] [0, 22, 29, 37, 62, 63, 66, 75, 78, 85, 123, 142, 149, 165, 167, 195, 217, 220, 225, 234, 242, 251, 252, 264, 285, 306, 319, 358, 381, 391, 471, 489] [1, 23, 30, 38, 63, 64, 67, 76, 79, 86, 124, 143, 150, 166, 168, 196, 218, 221, 226, 235, 243, 245, 252, 253, 265, 286, 307, 320, 359, 382, 392, 472] [2, 24, 31, 39, 64, 65, 68, 77, 80, 87, 125, 144, 151, 167, 169, 197, 219, 222, 227, 236, 244, 246, 253, 254, 266, 287, 308, 321, 360, 383, 393, 473] [0, 3, 25, 32, 40, 65, 66, 69, 78, 81, 88, 126, 145, 152, 168, 170, 198, 220, 223, 228, 237, 247, 254, 255, 267, 288, 309, 322, 361, 384, 394, 474] [1, 4, 26, 33, 41, 66, 67, 70, 79, 82, 89, 127, 146, 153, 169, 171, 199, 221, 224, 229, 238, 248, 255, 256, 268, 289, 310, 323, 362, 385, 395, 475] [2, 5, 27, 34, 42, 67, 68, 71, 80, 83, 90, 128, 147, 154, 170, 172, 200, 222, 225, 230, 239, 249, 256, 257, 269, 290, 311, 324, 363, 386, 396, 476] [3, 6, 28, 35, 43, 68, 69, 72, 81, 84, 91, 129, 148, 155, 171, 173, 201, 223, 226, 231, 240, 250, 257, 258, 270, 291, 312, 325, 364, 387, 397, 477] [4, 7, 29, 36, 44, 69, 70, 73, 82, 85, 92, 130, 149, 156, 172, 174, 202, 224, 227, 232, 241, 251, 258, 259, 271, 292, 313, 326, 365, 388, 398, 478] [5, 8, 30, 37, 45, 70, 71, 74, 83, 86, 93, 131, 150, 157, 173, 175, 203, 225, 228, 233, 242, 252, 259, 260, 272, 293, 314, 327, 366, 389, 399, 479] [6, 9, 31, 38, 46, 71, 72, 75, 84, 87, 94, 132, 151, 158, 174, 176, 204, 226, 229, 234, 243, 253, 260, 261, 273, 294, 315, 328, 367, 390, 400, 480] [7, 10, 32, 39, 47, 72, 73, 76, 85, 88, 95, 133, 152, 159, 175, 177, 205, 227, 230, 235, 244, 254, 261, 262, 274, 295, 316, 329, 368, 391, 401, 481] [0, 8, 11, 33, 40, 48, 73, 74, 77, 86, 89, 96, 134, 153, 160, 176, 178, 206, 228, 231, 236, 255, 262, 263, 275, 296, 317, 330, 369, 392, 402, 482] [1, 9, 12, 34, 41, 49, 74, 75, 78, 87, 90, 97, 135, 154, 161, 177, 179, 207, 229, 232, 237, 256, 263, 264, 276, 297, 318, 331, 370, 393, 403, 483] [2, 10, 13, 35, 42, 50, 75, 76, 79, 88, 91, 98, 136, 155, 162, 178, 180, 208, 230, 233, 238, 257, 264, 265, 277, 298, 319, 332, 371, 394, 404, 484] [3, 11, 14, 36, 43, 51, 76, 77, 80, 89, 92, 99, 137, 156, 163, 179, 181, 209, 231, 234, 239, 258, 265, 266, 278, 299, 320, 333, 372, 395, 405, 485] [4, 12, 15, 37, 44, 52, 77, 78, 81, 90, 93, 100, 138, 157, 164, 180, 182, 210, 232, 235, 240, 259, 266, 267, 279, 300, 321, 334, 373, 396, 406, 486] [5, 13, 16, 38, 45, 53, 78, 79, 82, 91, 94, 101, 139, 158, 165, 181, 183, 211, 233, 236, 241, 260, 267, 268, 280, 301, 322, 335, 374, 397, 407, 487] [6, 14, 17, 39, 46, 54, 79, 80, 83, 92, 95, 102, 140, 159, 166, 182, 184, 212, 234, 237, 242, 261, 268, 269, 281, 302, 323, 336, 375, 398, 408, 488] [7, 15, 18, 40, 47, 55, 80, 81, 84, 93, 96, 103, 141, 160, 167, 183, 185, 213, 235, 238, 243, 262, 269, 270, 282, 303, 324, 337, 376, 399, 409, 489] [8, 16, 19, 41, 48, 56, 81, 82, 85, 94, 97, 104, 142, 161, 168, 184, 186, 214, 236, 239, 244, 245, 263, 270, 271, 283, 304, 325, 338, 377, 400, 410] [0, 9, 17, 20, 42, 49, 57, 82, 83, 86, 95, 98, 105, 143, 162, 169, 185, 187, 215, 237, 240, 246, 264, 271, 272, 284, 305, 326, 339, 378, 401, 411] [1, 10, 18, 21, 43, 50, 58, 83, 84, 87, 96, 99, 106, 144, 163, 170, 186, 188, 216, 238, 241, 247, 265, 272, 273, 285, 306, 327, 340, 379, 402, 412] [2, 11, 19, 22, 44, 51, 59, 84, 85, 88, 97, 100, 107, 145, 164, 171, 187, 189, 217, 239, 242, 248, 266, 273, 274, 286, 307, 328, 341, 380, 403, 413] [3, 12, 20, 23, 45, 52, 60, 85, 86, 89, 98, 101, 108, 146, 165, 172, 188, 190, 218, 240, 243, 249, 267, 274, 275, 287, 308, 329, 342, 381, 404, 414] [4, 13, 21, 24, 46, 53, 61, 86, 87, 90, 99, 102, 109, 147, 166, 173, 189, 191, 219, 241, 244, 250, 268, 275, 276, 288, 309, 330, 343, 382, 405, 415] [0, 5, 14, 22, 25, 47, 54, 62, 87, 88, 91, 100, 103, 110, 148, 167, 174, 190, 192, 220, 242, 251, 269, 276, 277, 289, 310, 331, 344, 383, 406, 416] [1, 6, 15, 23, 26, 48, 55, 63, 88, 89, 92, 101, 104, 111, 149, 168, 175, 191, 193, 221, 243, 252, 270, 277, 278, 290, 311, 332, 345, 384, 407, 417] [2, 7, 16, 24, 27, 49, 56, 64, 89, 90, 93, 102, 105, 112, 150, 169, 176, 192, 194, 222, 244, 253, 271, 278, 279, 291, 312, 333, 346, 385, 408, 418] [0, 3, 8, 17, 25, 28, 50, 57, 65, 90, 91, 94, 103, 106, 113, 151, 170, 177, 193, 195, 223, 254, 272, 279, 280, 292, 313, 334, 347, 386, 409, 419] [1, 4, 9, 18, 26, 29, 51, 58, 66, 91, 92, 95, 104, 107, 114, 152, 171, 178, 194, 196, 224, 255, 273, 280, 281, 293, 314, 335, 348, 387, 410, 420] [2, 5, 10, 19, 27, 30, 52, 59, 67, 92, 93, 96, 105, 108, 115, 153, 172, 179, 195, 197, 225, 256, 274, 281, 282, 294, 315, 336, 349, 388, 411, 421] [3, 6, 11, 20, 28, 31, 53, 60, 68, 93, 94, 97, 106, 109, 116, 154, 173, 180, 196, 198, 226, 257, 275, 282, 283, 295, 316, 337, 350, 389, 412, 422] [4, 7, 12, 21, 29, 32, 54, 61, 69, 94, 95, 98, 107, 110, 117, 155, 174, 181, 197, 199, 227, 258, 276, 283, 284, 296, 317, 338, 351, 390, 413, 423] [5, 8, 13, 22, 30, 33, 55, 62, 70, 95, 96, 99, 108, 111, 118, 156, 175, 182, 198, 200, 228, 259, 277, 284, 285, 297, 318, 339, 352, 391, 414, 424]
Code ID 490-20-70 · download JSON · raw on GitHub