[[450,24,50]] · QEC Challenge

[[450,24,50]] d ≤

450

kd²/n

133.333

X/Z

Share this result

Distance

X/Z asymmetry 1 · d_X ≤ 50, d_Z ≤ 50 · w_X = 18, w_Z = 18 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 50 · witness weight 50 (claimed upper_bound)

witness operator (support, 50 qubits)

[6, 15, 24, 33, 42, 51, 60, 69, 78, 87, 96, 105, 114, 123, 132, 141, 150, 159, 168, 177, 186, 195, 204, 213, 222, 228, 237, 246, 255, 264, 273, 282, 291, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 399, 408, 417, 426, 435, 444]

d_Z 50 · witness weight 50 (claimed upper_bound)

witness operator (support, 50 qubits)

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 18 · H_Z 18

qubit degrees H_X 9 · H_Z 9

trapping sets H_X (1,9)×450 (2,14)×4275 (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

(1,9): 450 (2,14): 4275 (2,16): 25875

trapping sets H_Z (1,9)×450 (2,14)×4275 (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

(1,9): 450 (2,14): 4275 (2,16): 25875

Construction & provenance

authors @vprusso

provenance submitted through the challenge

novelty known parameter set; see provenance notes

construction Cyclic generalized-bicycle code on the ring x²²⁵ - 1 with a(x) = x²⁰ + x⁴⁵ + x⁵³ + x⁸⁸ + x⁹⁴ + x¹⁰² + x¹³¹ + x¹⁶³ + x¹⁹⁵, b(x) = x³⁸ + x³⁹ + x⁴⁵ + x⁴⁹ + x⁶¹ + x⁸⁰ + x¹⁰⁰ + x¹²² + x¹⁵⁹; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].

model Claude Opus 5 (claimed, not verified)

date 2026-09-25

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

[[450,24,50]] weight-18 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 18 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^225 - 1 a(x) = x^20 + x^45 + x^53 + x^88 + x^94 + x^102 + x^131 + x^163 + x^195 b(x) = x^38 + x^39 + x^45 + x^49 + x^61 + x^80 + x^100 + x^122 + x^159 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 = 133.333 at check weight 18. 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 225 (max weight 18) · Z-checks 225 (max weight 18)

H_X (225 checks, sparse supports)

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

H_Z (225 checks, sparse supports)

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

Code ID 450-24-50 · download JSON · raw on GitHub