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[[254,86,18]] d ≤
n
254
k
86
d
18
kd²/n
109.701
w
28
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 18, d_Z ≤ 18 · w_X = 28, w_Z = 28 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 18 · witness weight 18 (claimed upper_bound)
witness operator (support, 18 qubits)
[6, 17, 33, 43, 49, 62, 89, 138, 139, 152, 154, 175, 185, 190, 191, 212, 237, 242]
d_Z 18 · witness weight 18 (claimed upper_bound)
witness operator (support, 18 qubits)
[12, 17, 42, 63, 64, 69, 79, 100, 102, 115, 116, 165, 192, 205, 211, 221, 237, 248]
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 28 · H_Z 28
qubit degrees H_X 14 · H_Z 14
trapping sets H_X (1,14)×254 (2,18)×381 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,14): 254 (2,18): 381 (2,20): 635 (2,22): 4064 (2,24): 9398 (2,26): 12573
trapping sets H_Z (1,14)×254 (2,18)×381 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,14): 254 (2,18): 381 (2,20): 635 (2,22): 4064 (2,24): 9398 (2,26): 12573

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized bicycle at m=127, a prime with ord_2(m)=7, so the nontrivial cyclotomic cosets of 2 all have size 7. The divisor g is a product of the minimal polynomials of 6 cyclotomic cosets of size 7, times x+1, of degree 43, which fixes k = 2 deg g = 86 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 14 and 14. Both weights are even, so x+1 divides the gcd; m is prime, so the only block logical this forces has weight m and is far above the claim. H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T] on n = 2m = 254 qubits at uniform row weight 28, with a = [4, 5, 21, 34, 43, 46, 49, 52, 56, 78, 79, 86, 90, 115] and b = [24, 34, 47, 49, 53, 54, 61, 63, 67, 70, 99, 111, 119, 123].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-15
notes Distance is an upper bound from the lighter of two witnesses, weight 18 on X and 18 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed read 18 on every seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 18. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 21. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 62. The design point is deg g / m = 0.339.
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

--- author: "@vprusso" ---

[[254,86,18]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 127

At row weight 28 or lighter, the best distance on the board with n <= 254 and k >= 86 is 10, at [[228,86,10]] and row weight 12. This entry reaches 18. Allowing any row weight, the board's best in the same n and k range is 18, at [[254,98,18]] and row weight 30.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension follows from a polynomial gcd and can be set rather than waited for: build a divisor g of chosen degree and draw a and b as low-weight codewords of its ideal. Two mechanisms cap this family from opposite ends. A proper divisor t of m gives a quotient-fold ceiling of (m/t) d_t, which binds at low dimension, and the single-block cyclic code of dimension deg g carries a light logical inside one circulant block at high dimension. Here m is prime, so the quotient fold has no proper divisor to act on and is vacuous; only the single-block ceiling binds, and degree 43 sits below where it bites.

What was searched

m = 127 with ord_2(127) = 7, so the cyclotomic cosets of x^127 - 1 over GF(2) number 19 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 7 cosets of total degree 43, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

The divisor carries the root-1 coset, so both polynomial weights are even by construction and (x + 1) divides the common gcd by design rather than by accident. Here a has weight 14 and b has weight 14.

Evidence trail

deg gcd(a, x^127 - 1) = 43, deg gcd(b, x^127 - 1) = 43 and deg gcd(a, b, x^127 - 1) = 43, so the leak between the single-block kernels and k is 0.

A 24-seed gate at 2,000,000 information-set trials per seed settled at 18. The per-seed spread: 24 seeds found 18. The single-block logicals form the cyclic code of dimension 43 whose zeros are the 84 residues the divisor leaves out; the longest run of consecutive residues among them is 28, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 29 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 21. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. A single uninterrupted run of 8,000,000 trials, matching the depth the verifier itself reaches, reads 18.

The claim is a witness-backed upper bound, not certified. Both witnesses are in the submitted JSON, commute with the opposite check matrix and lie outside its row space; each weighs 18, and the claim is the lighter of the two.

Dead ends

  • [[254,126,14]] from the same front stops at 14 but carries 40 more logical qubits, so neither settles the other.
  • [[254,84,16]] from the same front is lighter at row weight 26 and stops at 16, so neither settles the other.
  • [[254,98,18]] from the same front reaches the same 18 with 12 more logical qubits but at row weight 30 against 28 here, so neither settles the other.

The screen that queued this draw read 21 and the gate settled at 18, which is why every candidate from this front is gated rather than filed off the sweep.

Tools

Claude Opus 5 driving a Claude Code session. Distance readings and single-block searches come from the repository's verify/gf2_fast extension; divisor assembly, coset selection and the information-set draws are session tooling outside this repository, described above in enough detail to rewrite.

Reproduction

m = 127, n = 2m = 254. With a = {4, 5, 21, 34, 43, 46, 49, 52, 56, 78, 79, 86, 90, 115} and b = {24, 34, 47, 49, 53, 54, 61, 63, 67, 70, 99, 111, 119, 123} as exponent sets,

H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]

where circ(s)[i, (i + e) mod m] = 1 for each e in s. The submitted codes/254-86-18.json carries both matrices row by row and both distance witnesses.

Parity checks

X-checks 127 (max weight 28) · Z-checks 127 (max weight 28)
H_X (127 checks, sparse supports)
[4, 5, 21, 34, 43, 46, 49, 52, 56, 78, 79, 86, 90, 115, 151, 161, 174, 176, 180, 181, 188, 190, 194, 197, 226, 238, 246, 250] [5, 6, 22, 35, 44, 47, 50, 53, 57, 79, 80, 87, 91, 116, 152, 162, 175, 177, 181, 182, 189, 191, 195, 198, 227, 239, 247, 251] [6, 7, 23, 36, 45, 48, 51, 54, 58, 80, 81, 88, 92, 117, 153, 163, 176, 178, 182, 183, 190, 192, 196, 199, 228, 240, 248, 252] [7, 8, 24, 37, 46, 49, 52, 55, 59, 81, 82, 89, 93, 118, 154, 164, 177, 179, 183, 184, 191, 193, 197, 200, 229, 241, 249, 253] [8, 9, 25, 38, 47, 50, 53, 56, 60, 82, 83, 90, 94, 119, 127, 155, 165, 178, 180, 184, 185, 192, 194, 198, 201, 230, 242, 250] [9, 10, 26, 39, 48, 51, 54, 57, 61, 83, 84, 91, 95, 120, 128, 156, 166, 179, 181, 185, 186, 193, 195, 199, 202, 231, 243, 251] [10, 11, 27, 40, 49, 52, 55, 58, 62, 84, 85, 92, 96, 121, 129, 157, 167, 180, 182, 186, 187, 194, 196, 200, 203, 232, 244, 252] [11, 12, 28, 41, 50, 53, 56, 59, 63, 85, 86, 93, 97, 122, 130, 158, 168, 181, 183, 187, 188, 195, 197, 201, 204, 233, 245, 253] [12, 13, 29, 42, 51, 54, 57, 60, 64, 86, 87, 94, 98, 123, 127, 131, 159, 169, 182, 184, 188, 189, 196, 198, 202, 205, 234, 246] [13, 14, 30, 43, 52, 55, 58, 61, 65, 87, 88, 95, 99, 124, 128, 132, 160, 170, 183, 185, 189, 190, 197, 199, 203, 206, 235, 247] [14, 15, 31, 44, 53, 56, 59, 62, 66, 88, 89, 96, 100, 125, 129, 133, 161, 171, 184, 186, 190, 191, 198, 200, 204, 207, 236, 248] [15, 16, 32, 45, 54, 57, 60, 63, 67, 89, 90, 97, 101, 126, 130, 134, 162, 172, 185, 187, 191, 192, 199, 201, 205, 208, 237, 249] [0, 16, 17, 33, 46, 55, 58, 61, 64, 68, 90, 91, 98, 102, 131, 135, 163, 173, 186, 188, 192, 193, 200, 202, 206, 209, 238, 250] [1, 17, 18, 34, 47, 56, 59, 62, 65, 69, 91, 92, 99, 103, 132, 136, 164, 174, 187, 189, 193, 194, 201, 203, 207, 210, 239, 251] [2, 18, 19, 35, 48, 57, 60, 63, 66, 70, 92, 93, 100, 104, 133, 137, 165, 175, 188, 190, 194, 195, 202, 204, 208, 211, 240, 252] [3, 19, 20, 36, 49, 58, 61, 64, 67, 71, 93, 94, 101, 105, 134, 138, 166, 176, 189, 191, 195, 196, 203, 205, 209, 212, 241, 253] [4, 20, 21, 37, 50, 59, 62, 65, 68, 72, 94, 95, 102, 106, 127, 135, 139, 167, 177, 190, 192, 196, 197, 204, 206, 210, 213, 242] [5, 21, 22, 38, 51, 60, 63, 66, 69, 73, 95, 96, 103, 107, 128, 136, 140, 168, 178, 191, 193, 197, 198, 205, 207, 211, 214, 243] [6, 22, 23, 39, 52, 61, 64, 67, 70, 74, 96, 97, 104, 108, 129, 137, 141, 169, 179, 192, 194, 198, 199, 206, 208, 212, 215, 244] [7, 23, 24, 40, 53, 62, 65, 68, 71, 75, 97, 98, 105, 109, 130, 138, 142, 170, 180, 193, 195, 199, 200, 207, 209, 213, 216, 245] [8, 24, 25, 41, 54, 63, 66, 69, 72, 76, 98, 99, 106, 110, 131, 139, 143, 171, 181, 194, 196, 200, 201, 208, 210, 214, 217, 246] [9, 25, 26, 42, 55, 64, 67, 70, 73, 77, 99, 100, 107, 111, 132, 140, 144, 172, 182, 195, 197, 201, 202, 209, 211, 215, 218, 247] [10, 26, 27, 43, 56, 65, 68, 71, 74, 78, 100, 101, 108, 112, 133, 141, 145, 173, 183, 196, 198, 202, 203, 210, 212, 216, 219, 248] [11, 27, 28, 44, 57, 66, 69, 72, 75, 79, 101, 102, 109, 113, 134, 142, 146, 174, 184, 197, 199, 203, 204, 211, 213, 217, 220, 249] [12, 28, 29, 45, 58, 67, 70, 73, 76, 80, 102, 103, 110, 114, 135, 143, 147, 175, 185, 198, 200, 204, 205, 212, 214, 218, 221, 250] [13, 29, 30, 46, 59, 68, 71, 74, 77, 81, 103, 104, 111, 115, 136, 144, 148, 176, 186, 199, 201, 205, 206, 213, 215, 219, 222, 251] [14, 30, 31, 47, 60, 69, 72, 75, 78, 82, 104, 105, 112, 116, 137, 145, 149, 177, 187, 200, 202, 206, 207, 214, 216, 220, 223, 252] [15, 31, 32, 48, 61, 70, 73, 76, 79, 83, 105, 106, 113, 117, 138, 146, 150, 178, 188, 201, 203, 207, 208, 215, 217, 221, 224, 253] [16, 32, 33, 49, 62, 71, 74, 77, 80, 84, 106, 107, 114, 118, 127, 139, 147, 151, 179, 189, 202, 204, 208, 209, 216, 218, 222, 225] [17, 33, 34, 50, 63, 72, 75, 78, 81, 85, 107, 108, 115, 119, 128, 140, 148, 152, 180, 190, 203, 205, 209, 210, 217, 219, 223, 226] [18, 34, 35, 51, 64, 73, 76, 79, 82, 86, 108, 109, 116, 120, 129, 141, 149, 153, 181, 191, 204, 206, 210, 211, 218, 220, 224, 227] [19, 35, 36, 52, 65, 74, 77, 80, 83, 87, 109, 110, 117, 121, 130, 142, 150, 154, 182, 192, 205, 207, 211, 212, 219, 221, 225, 228] [20, 36, 37, 53, 66, 75, 78, 81, 84, 88, 110, 111, 118, 122, 131, 143, 151, 155, 183, 193, 206, 208, 212, 213, 220, 222, 226, 229] [21, 37, 38, 54, 67, 76, 79, 82, 85, 89, 111, 112, 119, 123, 132, 144, 152, 156, 184, 194, 207, 209, 213, 214, 221, 223, 227, 230] [22, 38, 39, 55, 68, 77, 80, 83, 86, 90, 112, 113, 120, 124, 133, 145, 153, 157, 185, 195, 208, 210, 214, 215, 222, 224, 228, 231] [23, 39, 40, 56, 69, 78, 81, 84, 87, 91, 113, 114, 121, 125, 134, 146, 154, 158, 186, 196, 209, 211, 215, 216, 223, 225, 229, 232] [24, 40, 41, 57, 70, 79, 82, 85, 88, 92, 114, 115, 122, 126, 135, 147, 155, 159, 187, 197, 210, 212, 216, 217, 224, 226, 230, 233] [0, 25, 41, 42, 58, 71, 80, 83, 86, 89, 93, 115, 116, 123, 136, 148, 156, 160, 188, 198, 211, 213, 217, 218, 225, 227, 231, 234] [1, 26, 42, 43, 59, 72, 81, 84, 87, 90, 94, 116, 117, 124, 137, 149, 157, 161, 189, 199, 212, 214, 218, 219, 226, 228, 232, 235] [2, 27, 43, 44, 60, 73, 82, 85, 88, 91, 95, 117, 118, 125, 138, 150, 158, 162, 190, 200, 213, 215, 219, 220, 227, 229, 233, 236] [3, 28, 44, 45, 61, 74, 83, 86, 89, 92, 96, 118, 119, 126, 139, 151, 159, 163, 191, 201, 214, 216, 220, 221, 228, 230, 234, 237] [0, 4, 29, 45, 46, 62, 75, 84, 87, 90, 93, 97, 119, 120, 140, 152, 160, 164, 192, 202, 215, 217, 221, 222, 229, 231, 235, 238] [1, 5, 30, 46, 47, 63, 76, 85, 88, 91, 94, 98, 120, 121, 141, 153, 161, 165, 193, 203, 216, 218, 222, 223, 230, 232, 236, 239] [2, 6, 31, 47, 48, 64, 77, 86, 89, 92, 95, 99, 121, 122, 142, 154, 162, 166, 194, 204, 217, 219, 223, 224, 231, 233, 237, 240] [3, 7, 32, 48, 49, 65, 78, 87, 90, 93, 96, 100, 122, 123, 143, 155, 163, 167, 195, 205, 218, 220, 224, 225, 232, 234, 238, 241] [4, 8, 33, 49, 50, 66, 79, 88, 91, 94, 97, 101, 123, 124, 144, 156, 164, 168, 196, 206, 219, 221, 225, 226, 233, 235, 239, 242] [5, 9, 34, 50, 51, 67, 80, 89, 92, 95, 98, 102, 124, 125, 145, 157, 165, 169, 197, 207, 220, 222, 226, 227, 234, 236, 240, 243] [6, 10, 35, 51, 52, 68, 81, 90, 93, 96, 99, 103, 125, 126, 146, 158, 166, 170, 198, 208, 221, 223, 227, 228, 235, 237, 241, 244] [0, 7, 11, 36, 52, 53, 69, 82, 91, 94, 97, 100, 104, 126, 147, 159, 167, 171, 199, 209, 222, 224, 228, 229, 236, 238, 242, 245] [0, 1, 8, 12, 37, 53, 54, 70, 83, 92, 95, 98, 101, 105, 148, 160, 168, 172, 200, 210, 223, 225, 229, 230, 237, 239, 243, 246] [1, 2, 9, 13, 38, 54, 55, 71, 84, 93, 96, 99, 102, 106, 149, 161, 169, 173, 201, 211, 224, 226, 230, 231, 238, 240, 244, 247] [2, 3, 10, 14, 39, 55, 56, 72, 85, 94, 97, 100, 103, 107, 150, 162, 170, 174, 202, 212, 225, 227, 231, 232, 239, 241, 245, 248] [3, 4, 11, 15, 40, 56, 57, 73, 86, 95, 98, 101, 104, 108, 151, 163, 171, 175, 203, 213, 226, 228, 232, 233, 240, 242, 246, 249] [4, 5, 12, 16, 41, 57, 58, 74, 87, 96, 99, 102, 105, 109, 152, 164, 172, 176, 204, 214, 227, 229, 233, 234, 241, 243, 247, 250] [5, 6, 13, 17, 42, 58, 59, 75, 88, 97, 100, 103, 106, 110, 153, 165, 173, 177, 205, 215, 228, 230, 234, 235, 242, 244, 248, 251] [6, 7, 14, 18, 43, 59, 60, 76, 89, 98, 101, 104, 107, 111, 154, 166, 174, 178, 206, 216, 229, 231, 235, 236, 243, 245, 249, 252] [7, 8, 15, 19, 44, 60, 61, 77, 90, 99, 102, 105, 108, 112, 155, 167, 175, 179, 207, 217, 230, 232, 236, 237, 244, 246, 250, 253] [8, 9, 16, 20, 45, 61, 62, 78, 91, 100, 103, 106, 109, 113, 127, 156, 168, 176, 180, 208, 218, 231, 233, 237, 238, 245, 247, 251] [9, 10, 17, 21, 46, 62, 63, 79, 92, 101, 104, 107, 110, 114, 128, 157, 169, 177, 181, 209, 219, 232, 234, 238, 239, 246, 248, 252] [10, 11, 18, 22, 47, 63, 64, 80, 93, 102, 105, 108, 111, 115, 129, 158, 170, 178, 182, 210, 220, 233, 235, 239, 240, 247, 249, 253] [11, 12, 19, 23, 48, 64, 65, 81, 94, 103, 106, 109, 112, 116, 127, 130, 159, 171, 179, 183, 211, 221, 234, 236, 240, 241, 248, 250] [12, 13, 20, 24, 49, 65, 66, 82, 95, 104, 107, 110, 113, 117, 128, 131, 160, 172, 180, 184, 212, 222, 235, 237, 241, 242, 249, 251] [13, 14, 21, 25, 50, 66, 67, 83, 96, 105, 108, 111, 114, 118, 129, 132, 161, 173, 181, 185, 213, 223, 236, 238, 242, 243, 250, 252] [14, 15, 22, 26, 51, 67, 68, 84, 97, 106, 109, 112, 115, 119, 130, 133, 162, 174, 182, 186, 214, 224, 237, 239, 243, 244, 251, 253] [15, 16, 23, 27, 52, 68, 69, 85, 98, 107, 110, 113, 116, 120, 127, 131, 134, 163, 175, 183, 187, 215, 225, 238, 240, 244, 245, 252] [16, 17, 24, 28, 53, 69, 70, 86, 99, 108, 111, 114, 117, 121, 128, 132, 135, 164, 176, 184, 188, 216, 226, 239, 241, 245, 246, 253] [17, 18, 25, 29, 54, 70, 71, 87, 100, 109, 112, 115, 118, 122, 127, 129, 133, 136, 165, 177, 185, 189, 217, 227, 240, 242, 246, 247] [18, 19, 26, 30, 55, 71, 72, 88, 101, 110, 113, 116, 119, 123, 128, 130, 134, 137, 166, 178, 186, 190, 218, 228, 241, 243, 247, 248] [19, 20, 27, 31, 56, 72, 73, 89, 102, 111, 114, 117, 120, 124, 129, 131, 135, 138, 167, 179, 187, 191, 219, 229, 242, 244, 248, 249] [20, 21, 28, 32, 57, 73, 74, 90, 103, 112, 115, 118, 121, 125, 130, 132, 136, 139, 168, 180, 188, 192, 220, 230, 243, 245, 249, 250] [21, 22, 29, 33, 58, 74, 75, 91, 104, 113, 116, 119, 122, 126, 131, 133, 137, 140, 169, 181, 189, 193, 221, 231, 244, 246, 250, 251] [0, 22, 23, 30, 34, 59, 75, 76, 92, 105, 114, 117, 120, 123, 132, 134, 138, 141, 170, 182, 190, 194, 222, 232, 245, 247, 251, 252] [1, 23, 24, 31, 35, 60, 76, 77, 93, 106, 115, 118, 121, 124, 133, 135, 139, 142, 171, 183, 191, 195, 223, 233, 246, 248, 252, 253] [2, 24, 25, 32, 36, 61, 77, 78, 94, 107, 116, 119, 122, 125, 127, 134, 136, 140, 143, 172, 184, 192, 196, 224, 234, 247, 249, 253] [3, 25, 26, 33, 37, 62, 78, 79, 95, 108, 117, 120, 123, 126, 127, 128, 135, 137, 141, 144, 173, 185, 193, 197, 225, 235, 248, 250] [0, 4, 26, 27, 34, 38, 63, 79, 80, 96, 109, 118, 121, 124, 128, 129, 136, 138, 142, 145, 174, 186, 194, 198, 226, 236, 249, 251] [1, 5, 27, 28, 35, 39, 64, 80, 81, 97, 110, 119, 122, 125, 129, 130, 137, 139, 143, 146, 175, 187, 195, 199, 227, 237, 250, 252] [2, 6, 28, 29, 36, 40, 65, 81, 82, 98, 111, 120, 123, 126, 130, 131, 138, 140, 144, 147, 176, 188, 196, 200, 228, 238, 251, 253] [0, 3, 7, 29, 30, 37, 41, 66, 82, 83, 99, 112, 121, 124, 127, 131, 132, 139, 141, 145, 148, 177, 189, 197, 201, 229, 239, 252] [1, 4, 8, 30, 31, 38, 42, 67, 83, 84, 100, 113, 122, 125, 128, 132, 133, 140, 142, 146, 149, 178, 190, 198, 202, 230, 240, 253] [2, 5, 9, 31, 32, 39, 43, 68, 84, 85, 101, 114, 123, 126, 127, 129, 133, 134, 141, 143, 147, 150, 179, 191, 199, 203, 231, 241] [0, 3, 6, 10, 32, 33, 40, 44, 69, 85, 86, 102, 115, 124, 128, 130, 134, 135, 142, 144, 148, 151, 180, 192, 200, 204, 232, 242] [1, 4, 7, 11, 33, 34, 41, 45, 70, 86, 87, 103, 116, 125, 129, 131, 135, 136, 143, 145, 149, 152, 181, 193, 201, 205, 233, 243] [2, 5, 8, 12, 34, 35, 42, 46, 71, 87, 88, 104, 117, 126, 130, 132, 136, 137, 144, 146, 150, 153, 182, 194, 202, 206, 234, 244] [0, 3, 6, 9, 13, 35, 36, 43, 47, 72, 88, 89, 105, 118, 131, 133, 137, 138, 145, 147, 151, 154, 183, 195, 203, 207, 235, 245] [1, 4, 7, 10, 14, 36, 37, 44, 48, 73, 89, 90, 106, 119, 132, 134, 138, 139, 146, 148, 152, 155, 184, 196, 204, 208, 236, 246] [2, 5, 8, 11, 15, 37, 38, 45, 49, 74, 90, 91, 107, 120, 133, 135, 139, 140, 147, 149, 153, 156, 185, 197, 205, 209, 237, 247] [3, 6, 9, 12, 16, 38, 39, 46, 50, 75, 91, 92, 108, 121, 134, 136, 140, 141, 148, 150, 154, 157, 186, 198, 206, 210, 238, 248] [4, 7, 10, 13, 17, 39, 40, 47, 51, 76, 92, 93, 109, 122, 135, 137, 141, 142, 149, 151, 155, 158, 187, 199, 207, 211, 239, 249] [5, 8, 11, 14, 18, 40, 41, 48, 52, 77, 93, 94, 110, 123, 136, 138, 142, 143, 150, 152, 156, 159, 188, 200, 208, 212, 240, 250] [6, 9, 12, 15, 19, 41, 42, 49, 53, 78, 94, 95, 111, 124, 137, 139, 143, 144, 151, 153, 157, 160, 189, 201, 209, 213, 241, 251] [7, 10, 13, 16, 20, 42, 43, 50, 54, 79, 95, 96, 112, 125, 138, 140, 144, 145, 152, 154, 158, 161, 190, 202, 210, 214, 242, 252] [8, 11, 14, 17, 21, 43, 44, 51, 55, 80, 96, 97, 113, 126, 139, 141, 145, 146, 153, 155, 159, 162, 191, 203, 211, 215, 243, 253] [0, 9, 12, 15, 18, 22, 44, 45, 52, 56, 81, 97, 98, 114, 127, 140, 142, 146, 147, 154, 156, 160, 163, 192, 204, 212, 216, 244] [1, 10, 13, 16, 19, 23, 45, 46, 53, 57, 82, 98, 99, 115, 128, 141, 143, 147, 148, 155, 157, 161, 164, 193, 205, 213, 217, 245] [2, 11, 14, 17, 20, 24, 46, 47, 54, 58, 83, 99, 100, 116, 129, 142, 144, 148, 149, 156, 158, 162, 165, 194, 206, 214, 218, 246] [3, 12, 15, 18, 21, 25, 47, 48, 55, 59, 84, 100, 101, 117, 130, 143, 145, 149, 150, 157, 159, 163, 166, 195, 207, 215, 219, 247] [4, 13, 16, 19, 22, 26, 48, 49, 56, 60, 85, 101, 102, 118, 131, 144, 146, 150, 151, 158, 160, 164, 167, 196, 208, 216, 220, 248] [5, 14, 17, 20, 23, 27, 49, 50, 57, 61, 86, 102, 103, 119, 132, 145, 147, 151, 152, 159, 161, 165, 168, 197, 209, 217, 221, 249] [6, 15, 18, 21, 24, 28, 50, 51, 58, 62, 87, 103, 104, 120, 133, 146, 148, 152, 153, 160, 162, 166, 169, 198, 210, 218, 222, 250] [7, 16, 19, 22, 25, 29, 51, 52, 59, 63, 88, 104, 105, 121, 134, 147, 149, 153, 154, 161, 163, 167, 170, 199, 211, 219, 223, 251] [8, 17, 20, 23, 26, 30, 52, 53, 60, 64, 89, 105, 106, 122, 135, 148, 150, 154, 155, 162, 164, 168, 171, 200, 212, 220, 224, 252] [9, 18, 21, 24, 27, 31, 53, 54, 61, 65, 90, 106, 107, 123, 136, 149, 151, 155, 156, 163, 165, 169, 172, 201, 213, 221, 225, 253] [10, 19, 22, 25, 28, 32, 54, 55, 62, 66, 91, 107, 108, 124, 127, 137, 150, 152, 156, 157, 164, 166, 170, 173, 202, 214, 222, 226] [11, 20, 23, 26, 29, 33, 55, 56, 63, 67, 92, 108, 109, 125, 128, 138, 151, 153, 157, 158, 165, 167, 171, 174, 203, 215, 223, 227] [12, 21, 24, 27, 30, 34, 56, 57, 64, 68, 93, 109, 110, 126, 129, 139, 152, 154, 158, 159, 166, 168, 172, 175, 204, 216, 224, 228] [0, 13, 22, 25, 28, 31, 35, 57, 58, 65, 69, 94, 110, 111, 130, 140, 153, 155, 159, 160, 167, 169, 173, 176, 205, 217, 225, 229] [1, 14, 23, 26, 29, 32, 36, 58, 59, 66, 70, 95, 111, 112, 131, 141, 154, 156, 160, 161, 168, 170, 174, 177, 206, 218, 226, 230] [2, 15, 24, 27, 30, 33, 37, 59, 60, 67, 71, 96, 112, 113, 132, 142, 155, 157, 161, 162, 169, 171, 175, 178, 207, 219, 227, 231] [3, 16, 25, 28, 31, 34, 38, 60, 61, 68, 72, 97, 113, 114, 133, 143, 156, 158, 162, 163, 170, 172, 176, 179, 208, 220, 228, 232] [4, 17, 26, 29, 32, 35, 39, 61, 62, 69, 73, 98, 114, 115, 134, 144, 157, 159, 163, 164, 171, 173, 177, 180, 209, 221, 229, 233] [5, 18, 27, 30, 33, 36, 40, 62, 63, 70, 74, 99, 115, 116, 135, 145, 158, 160, 164, 165, 172, 174, 178, 181, 210, 222, 230, 234] [6, 19, 28, 31, 34, 37, 41, 63, 64, 71, 75, 100, 116, 117, 136, 146, 159, 161, 165, 166, 173, 175, 179, 182, 211, 223, 231, 235] [7, 20, 29, 32, 35, 38, 42, 64, 65, 72, 76, 101, 117, 118, 137, 147, 160, 162, 166, 167, 174, 176, 180, 183, 212, 224, 232, 236] [8, 21, 30, 33, 36, 39, 43, 65, 66, 73, 77, 102, 118, 119, 138, 148, 161, 163, 167, 168, 175, 177, 181, 184, 213, 225, 233, 237] [9, 22, 31, 34, 37, 40, 44, 66, 67, 74, 78, 103, 119, 120, 139, 149, 162, 164, 168, 169, 176, 178, 182, 185, 214, 226, 234, 238] [10, 23, 32, 35, 38, 41, 45, 67, 68, 75, 79, 104, 120, 121, 140, 150, 163, 165, 169, 170, 177, 179, 183, 186, 215, 227, 235, 239] [11, 24, 33, 36, 39, 42, 46, 68, 69, 76, 80, 105, 121, 122, 141, 151, 164, 166, 170, 171, 178, 180, 184, 187, 216, 228, 236, 240] [12, 25, 34, 37, 40, 43, 47, 69, 70, 77, 81, 106, 122, 123, 142, 152, 165, 167, 171, 172, 179, 181, 185, 188, 217, 229, 237, 241] [13, 26, 35, 38, 41, 44, 48, 70, 71, 78, 82, 107, 123, 124, 143, 153, 166, 168, 172, 173, 180, 182, 186, 189, 218, 230, 238, 242] [14, 27, 36, 39, 42, 45, 49, 71, 72, 79, 83, 108, 124, 125, 144, 154, 167, 169, 173, 174, 181, 183, 187, 190, 219, 231, 239, 243] [15, 28, 37, 40, 43, 46, 50, 72, 73, 80, 84, 109, 125, 126, 145, 155, 168, 170, 174, 175, 182, 184, 188, 191, 220, 232, 240, 244] [0, 16, 29, 38, 41, 44, 47, 51, 73, 74, 81, 85, 110, 126, 146, 156, 169, 171, 175, 176, 183, 185, 189, 192, 221, 233, 241, 245] [0, 1, 17, 30, 39, 42, 45, 48, 52, 74, 75, 82, 86, 111, 147, 157, 170, 172, 176, 177, 184, 186, 190, 193, 222, 234, 242, 246] [1, 2, 18, 31, 40, 43, 46, 49, 53, 75, 76, 83, 87, 112, 148, 158, 171, 173, 177, 178, 185, 187, 191, 194, 223, 235, 243, 247] [2, 3, 19, 32, 41, 44, 47, 50, 54, 76, 77, 84, 88, 113, 149, 159, 172, 174, 178, 179, 186, 188, 192, 195, 224, 236, 244, 248] [3, 4, 20, 33, 42, 45, 48, 51, 55, 77, 78, 85, 89, 114, 150, 160, 173, 175, 179, 180, 187, 189, 193, 196, 225, 237, 245, 249]
H_Z (127 checks, sparse supports)
[4, 8, 16, 28, 57, 60, 64, 66, 73, 74, 78, 80, 93, 103, 139, 164, 168, 175, 176, 198, 202, 205, 208, 211, 220, 233, 249, 250] [5, 9, 17, 29, 58, 61, 65, 67, 74, 75, 79, 81, 94, 104, 140, 165, 169, 176, 177, 199, 203, 206, 209, 212, 221, 234, 250, 251] [6, 10, 18, 30, 59, 62, 66, 68, 75, 76, 80, 82, 95, 105, 141, 166, 170, 177, 178, 200, 204, 207, 210, 213, 222, 235, 251, 252] [7, 11, 19, 31, 60, 63, 67, 69, 76, 77, 81, 83, 96, 106, 142, 167, 171, 178, 179, 201, 205, 208, 211, 214, 223, 236, 252, 253] [8, 12, 20, 32, 61, 64, 68, 70, 77, 78, 82, 84, 97, 107, 127, 143, 168, 172, 179, 180, 202, 206, 209, 212, 215, 224, 237, 253] [9, 13, 21, 33, 62, 65, 69, 71, 78, 79, 83, 85, 98, 108, 127, 128, 144, 169, 173, 180, 181, 203, 207, 210, 213, 216, 225, 238] [10, 14, 22, 34, 63, 66, 70, 72, 79, 80, 84, 86, 99, 109, 128, 129, 145, 170, 174, 181, 182, 204, 208, 211, 214, 217, 226, 239] [11, 15, 23, 35, 64, 67, 71, 73, 80, 81, 85, 87, 100, 110, 129, 130, 146, 171, 175, 182, 183, 205, 209, 212, 215, 218, 227, 240] [12, 16, 24, 36, 65, 68, 72, 74, 81, 82, 86, 88, 101, 111, 130, 131, 147, 172, 176, 183, 184, 206, 210, 213, 216, 219, 228, 241] [13, 17, 25, 37, 66, 69, 73, 75, 82, 83, 87, 89, 102, 112, 131, 132, 148, 173, 177, 184, 185, 207, 211, 214, 217, 220, 229, 242] [14, 18, 26, 38, 67, 70, 74, 76, 83, 84, 88, 90, 103, 113, 132, 133, 149, 174, 178, 185, 186, 208, 212, 215, 218, 221, 230, 243] [15, 19, 27, 39, 68, 71, 75, 77, 84, 85, 89, 91, 104, 114, 133, 134, 150, 175, 179, 186, 187, 209, 213, 216, 219, 222, 231, 244] [16, 20, 28, 40, 69, 72, 76, 78, 85, 86, 90, 92, 105, 115, 134, 135, 151, 176, 180, 187, 188, 210, 214, 217, 220, 223, 232, 245] [17, 21, 29, 41, 70, 73, 77, 79, 86, 87, 91, 93, 106, 116, 135, 136, 152, 177, 181, 188, 189, 211, 215, 218, 221, 224, 233, 246] [18, 22, 30, 42, 71, 74, 78, 80, 87, 88, 92, 94, 107, 117, 136, 137, 153, 178, 182, 189, 190, 212, 216, 219, 222, 225, 234, 247] [19, 23, 31, 43, 72, 75, 79, 81, 88, 89, 93, 95, 108, 118, 137, 138, 154, 179, 183, 190, 191, 213, 217, 220, 223, 226, 235, 248] [20, 24, 32, 44, 73, 76, 80, 82, 89, 90, 94, 96, 109, 119, 138, 139, 155, 180, 184, 191, 192, 214, 218, 221, 224, 227, 236, 249] [21, 25, 33, 45, 74, 77, 81, 83, 90, 91, 95, 97, 110, 120, 139, 140, 156, 181, 185, 192, 193, 215, 219, 222, 225, 228, 237, 250] [22, 26, 34, 46, 75, 78, 82, 84, 91, 92, 96, 98, 111, 121, 140, 141, 157, 182, 186, 193, 194, 216, 220, 223, 226, 229, 238, 251] [23, 27, 35, 47, 76, 79, 83, 85, 92, 93, 97, 99, 112, 122, 141, 142, 158, 183, 187, 194, 195, 217, 221, 224, 227, 230, 239, 252] [24, 28, 36, 48, 77, 80, 84, 86, 93, 94, 98, 100, 113, 123, 142, 143, 159, 184, 188, 195, 196, 218, 222, 225, 228, 231, 240, 253] [25, 29, 37, 49, 78, 81, 85, 87, 94, 95, 99, 101, 114, 124, 127, 143, 144, 160, 185, 189, 196, 197, 219, 223, 226, 229, 232, 241] [26, 30, 38, 50, 79, 82, 86, 88, 95, 96, 100, 102, 115, 125, 128, 144, 145, 161, 186, 190, 197, 198, 220, 224, 227, 230, 233, 242] [27, 31, 39, 51, 80, 83, 87, 89, 96, 97, 101, 103, 116, 126, 129, 145, 146, 162, 187, 191, 198, 199, 221, 225, 228, 231, 234, 243] [0, 28, 32, 40, 52, 81, 84, 88, 90, 97, 98, 102, 104, 117, 130, 146, 147, 163, 188, 192, 199, 200, 222, 226, 229, 232, 235, 244] [1, 29, 33, 41, 53, 82, 85, 89, 91, 98, 99, 103, 105, 118, 131, 147, 148, 164, 189, 193, 200, 201, 223, 227, 230, 233, 236, 245] [2, 30, 34, 42, 54, 83, 86, 90, 92, 99, 100, 104, 106, 119, 132, 148, 149, 165, 190, 194, 201, 202, 224, 228, 231, 234, 237, 246] [3, 31, 35, 43, 55, 84, 87, 91, 93, 100, 101, 105, 107, 120, 133, 149, 150, 166, 191, 195, 202, 203, 225, 229, 232, 235, 238, 247] [4, 32, 36, 44, 56, 85, 88, 92, 94, 101, 102, 106, 108, 121, 134, 150, 151, 167, 192, 196, 203, 204, 226, 230, 233, 236, 239, 248] [5, 33, 37, 45, 57, 86, 89, 93, 95, 102, 103, 107, 109, 122, 135, 151, 152, 168, 193, 197, 204, 205, 227, 231, 234, 237, 240, 249] [6, 34, 38, 46, 58, 87, 90, 94, 96, 103, 104, 108, 110, 123, 136, 152, 153, 169, 194, 198, 205, 206, 228, 232, 235, 238, 241, 250] [7, 35, 39, 47, 59, 88, 91, 95, 97, 104, 105, 109, 111, 124, 137, 153, 154, 170, 195, 199, 206, 207, 229, 233, 236, 239, 242, 251] [8, 36, 40, 48, 60, 89, 92, 96, 98, 105, 106, 110, 112, 125, 138, 154, 155, 171, 196, 200, 207, 208, 230, 234, 237, 240, 243, 252] [9, 37, 41, 49, 61, 90, 93, 97, 99, 106, 107, 111, 113, 126, 139, 155, 156, 172, 197, 201, 208, 209, 231, 235, 238, 241, 244, 253] [0, 10, 38, 42, 50, 62, 91, 94, 98, 100, 107, 108, 112, 114, 127, 140, 156, 157, 173, 198, 202, 209, 210, 232, 236, 239, 242, 245] [1, 11, 39, 43, 51, 63, 92, 95, 99, 101, 108, 109, 113, 115, 128, 141, 157, 158, 174, 199, 203, 210, 211, 233, 237, 240, 243, 246] [2, 12, 40, 44, 52, 64, 93, 96, 100, 102, 109, 110, 114, 116, 129, 142, 158, 159, 175, 200, 204, 211, 212, 234, 238, 241, 244, 247] [3, 13, 41, 45, 53, 65, 94, 97, 101, 103, 110, 111, 115, 117, 130, 143, 159, 160, 176, 201, 205, 212, 213, 235, 239, 242, 245, 248] [4, 14, 42, 46, 54, 66, 95, 98, 102, 104, 111, 112, 116, 118, 131, 144, 160, 161, 177, 202, 206, 213, 214, 236, 240, 243, 246, 249] [5, 15, 43, 47, 55, 67, 96, 99, 103, 105, 112, 113, 117, 119, 132, 145, 161, 162, 178, 203, 207, 214, 215, 237, 241, 244, 247, 250] [6, 16, 44, 48, 56, 68, 97, 100, 104, 106, 113, 114, 118, 120, 133, 146, 162, 163, 179, 204, 208, 215, 216, 238, 242, 245, 248, 251] [7, 17, 45, 49, 57, 69, 98, 101, 105, 107, 114, 115, 119, 121, 134, 147, 163, 164, 180, 205, 209, 216, 217, 239, 243, 246, 249, 252] [8, 18, 46, 50, 58, 70, 99, 102, 106, 108, 115, 116, 120, 122, 135, 148, 164, 165, 181, 206, 210, 217, 218, 240, 244, 247, 250, 253] [9, 19, 47, 51, 59, 71, 100, 103, 107, 109, 116, 117, 121, 123, 127, 136, 149, 165, 166, 182, 207, 211, 218, 219, 241, 245, 248, 251] [10, 20, 48, 52, 60, 72, 101, 104, 108, 110, 117, 118, 122, 124, 128, 137, 150, 166, 167, 183, 208, 212, 219, 220, 242, 246, 249, 252] [11, 21, 49, 53, 61, 73, 102, 105, 109, 111, 118, 119, 123, 125, 129, 138, 151, 167, 168, 184, 209, 213, 220, 221, 243, 247, 250, 253] [12, 22, 50, 54, 62, 74, 103, 106, 110, 112, 119, 120, 124, 126, 127, 130, 139, 152, 168, 169, 185, 210, 214, 221, 222, 244, 248, 251] [0, 13, 23, 51, 55, 63, 75, 104, 107, 111, 113, 120, 121, 125, 128, 131, 140, 153, 169, 170, 186, 211, 215, 222, 223, 245, 249, 252] [1, 14, 24, 52, 56, 64, 76, 105, 108, 112, 114, 121, 122, 126, 129, 132, 141, 154, 170, 171, 187, 212, 216, 223, 224, 246, 250, 253] [0, 2, 15, 25, 53, 57, 65, 77, 106, 109, 113, 115, 122, 123, 127, 130, 133, 142, 155, 171, 172, 188, 213, 217, 224, 225, 247, 251] [1, 3, 16, 26, 54, 58, 66, 78, 107, 110, 114, 116, 123, 124, 128, 131, 134, 143, 156, 172, 173, 189, 214, 218, 225, 226, 248, 252] [2, 4, 17, 27, 55, 59, 67, 79, 108, 111, 115, 117, 124, 125, 129, 132, 135, 144, 157, 173, 174, 190, 215, 219, 226, 227, 249, 253] [3, 5, 18, 28, 56, 60, 68, 80, 109, 112, 116, 118, 125, 126, 127, 130, 133, 136, 145, 158, 174, 175, 191, 216, 220, 227, 228, 250] [0, 4, 6, 19, 29, 57, 61, 69, 81, 110, 113, 117, 119, 126, 128, 131, 134, 137, 146, 159, 175, 176, 192, 217, 221, 228, 229, 251] [0, 1, 5, 7, 20, 30, 58, 62, 70, 82, 111, 114, 118, 120, 129, 132, 135, 138, 147, 160, 176, 177, 193, 218, 222, 229, 230, 252] [1, 2, 6, 8, 21, 31, 59, 63, 71, 83, 112, 115, 119, 121, 130, 133, 136, 139, 148, 161, 177, 178, 194, 219, 223, 230, 231, 253] [2, 3, 7, 9, 22, 32, 60, 64, 72, 84, 113, 116, 120, 122, 127, 131, 134, 137, 140, 149, 162, 178, 179, 195, 220, 224, 231, 232] [3, 4, 8, 10, 23, 33, 61, 65, 73, 85, 114, 117, 121, 123, 128, 132, 135, 138, 141, 150, 163, 179, 180, 196, 221, 225, 232, 233] [4, 5, 9, 11, 24, 34, 62, 66, 74, 86, 115, 118, 122, 124, 129, 133, 136, 139, 142, 151, 164, 180, 181, 197, 222, 226, 233, 234] [5, 6, 10, 12, 25, 35, 63, 67, 75, 87, 116, 119, 123, 125, 130, 134, 137, 140, 143, 152, 165, 181, 182, 198, 223, 227, 234, 235] [6, 7, 11, 13, 26, 36, 64, 68, 76, 88, 117, 120, 124, 126, 131, 135, 138, 141, 144, 153, 166, 182, 183, 199, 224, 228, 235, 236] [0, 7, 8, 12, 14, 27, 37, 65, 69, 77, 89, 118, 121, 125, 132, 136, 139, 142, 145, 154, 167, 183, 184, 200, 225, 229, 236, 237] [1, 8, 9, 13, 15, 28, 38, 66, 70, 78, 90, 119, 122, 126, 133, 137, 140, 143, 146, 155, 168, 184, 185, 201, 226, 230, 237, 238] [0, 2, 9, 10, 14, 16, 29, 39, 67, 71, 79, 91, 120, 123, 134, 138, 141, 144, 147, 156, 169, 185, 186, 202, 227, 231, 238, 239] [1, 3, 10, 11, 15, 17, 30, 40, 68, 72, 80, 92, 121, 124, 135, 139, 142, 145, 148, 157, 170, 186, 187, 203, 228, 232, 239, 240] [2, 4, 11, 12, 16, 18, 31, 41, 69, 73, 81, 93, 122, 125, 136, 140, 143, 146, 149, 158, 171, 187, 188, 204, 229, 233, 240, 241] [3, 5, 12, 13, 17, 19, 32, 42, 70, 74, 82, 94, 123, 126, 137, 141, 144, 147, 150, 159, 172, 188, 189, 205, 230, 234, 241, 242] [0, 4, 6, 13, 14, 18, 20, 33, 43, 71, 75, 83, 95, 124, 138, 142, 145, 148, 151, 160, 173, 189, 190, 206, 231, 235, 242, 243] [1, 5, 7, 14, 15, 19, 21, 34, 44, 72, 76, 84, 96, 125, 139, 143, 146, 149, 152, 161, 174, 190, 191, 207, 232, 236, 243, 244] [2, 6, 8, 15, 16, 20, 22, 35, 45, 73, 77, 85, 97, 126, 140, 144, 147, 150, 153, 162, 175, 191, 192, 208, 233, 237, 244, 245] [0, 3, 7, 9, 16, 17, 21, 23, 36, 46, 74, 78, 86, 98, 141, 145, 148, 151, 154, 163, 176, 192, 193, 209, 234, 238, 245, 246] [1, 4, 8, 10, 17, 18, 22, 24, 37, 47, 75, 79, 87, 99, 142, 146, 149, 152, 155, 164, 177, 193, 194, 210, 235, 239, 246, 247] [2, 5, 9, 11, 18, 19, 23, 25, 38, 48, 76, 80, 88, 100, 143, 147, 150, 153, 156, 165, 178, 194, 195, 211, 236, 240, 247, 248] [3, 6, 10, 12, 19, 20, 24, 26, 39, 49, 77, 81, 89, 101, 144, 148, 151, 154, 157, 166, 179, 195, 196, 212, 237, 241, 248, 249] [4, 7, 11, 13, 20, 21, 25, 27, 40, 50, 78, 82, 90, 102, 145, 149, 152, 155, 158, 167, 180, 196, 197, 213, 238, 242, 249, 250] [5, 8, 12, 14, 21, 22, 26, 28, 41, 51, 79, 83, 91, 103, 146, 150, 153, 156, 159, 168, 181, 197, 198, 214, 239, 243, 250, 251] [6, 9, 13, 15, 22, 23, 27, 29, 42, 52, 80, 84, 92, 104, 147, 151, 154, 157, 160, 169, 182, 198, 199, 215, 240, 244, 251, 252] [7, 10, 14, 16, 23, 24, 28, 30, 43, 53, 81, 85, 93, 105, 148, 152, 155, 158, 161, 170, 183, 199, 200, 216, 241, 245, 252, 253] [8, 11, 15, 17, 24, 25, 29, 31, 44, 54, 82, 86, 94, 106, 127, 149, 153, 156, 159, 162, 171, 184, 200, 201, 217, 242, 246, 253] [9, 12, 16, 18, 25, 26, 30, 32, 45, 55, 83, 87, 95, 107, 127, 128, 150, 154, 157, 160, 163, 172, 185, 201, 202, 218, 243, 247] [10, 13, 17, 19, 26, 27, 31, 33, 46, 56, 84, 88, 96, 108, 128, 129, 151, 155, 158, 161, 164, 173, 186, 202, 203, 219, 244, 248] [11, 14, 18, 20, 27, 28, 32, 34, 47, 57, 85, 89, 97, 109, 129, 130, 152, 156, 159, 162, 165, 174, 187, 203, 204, 220, 245, 249] [12, 15, 19, 21, 28, 29, 33, 35, 48, 58, 86, 90, 98, 110, 130, 131, 153, 157, 160, 163, 166, 175, 188, 204, 205, 221, 246, 250] [13, 16, 20, 22, 29, 30, 34, 36, 49, 59, 87, 91, 99, 111, 131, 132, 154, 158, 161, 164, 167, 176, 189, 205, 206, 222, 247, 251] [14, 17, 21, 23, 30, 31, 35, 37, 50, 60, 88, 92, 100, 112, 132, 133, 155, 159, 162, 165, 168, 177, 190, 206, 207, 223, 248, 252] [15, 18, 22, 24, 31, 32, 36, 38, 51, 61, 89, 93, 101, 113, 133, 134, 156, 160, 163, 166, 169, 178, 191, 207, 208, 224, 249, 253] [16, 19, 23, 25, 32, 33, 37, 39, 52, 62, 90, 94, 102, 114, 127, 134, 135, 157, 161, 164, 167, 170, 179, 192, 208, 209, 225, 250] [17, 20, 24, 26, 33, 34, 38, 40, 53, 63, 91, 95, 103, 115, 128, 135, 136, 158, 162, 165, 168, 171, 180, 193, 209, 210, 226, 251] [18, 21, 25, 27, 34, 35, 39, 41, 54, 64, 92, 96, 104, 116, 129, 136, 137, 159, 163, 166, 169, 172, 181, 194, 210, 211, 227, 252] [19, 22, 26, 28, 35, 36, 40, 42, 55, 65, 93, 97, 105, 117, 130, 137, 138, 160, 164, 167, 170, 173, 182, 195, 211, 212, 228, 253] [20, 23, 27, 29, 36, 37, 41, 43, 56, 66, 94, 98, 106, 118, 127, 131, 138, 139, 161, 165, 168, 171, 174, 183, 196, 212, 213, 229] [21, 24, 28, 30, 37, 38, 42, 44, 57, 67, 95, 99, 107, 119, 128, 132, 139, 140, 162, 166, 169, 172, 175, 184, 197, 213, 214, 230] [22, 25, 29, 31, 38, 39, 43, 45, 58, 68, 96, 100, 108, 120, 129, 133, 140, 141, 163, 167, 170, 173, 176, 185, 198, 214, 215, 231] [23, 26, 30, 32, 39, 40, 44, 46, 59, 69, 97, 101, 109, 121, 130, 134, 141, 142, 164, 168, 171, 174, 177, 186, 199, 215, 216, 232] [24, 27, 31, 33, 40, 41, 45, 47, 60, 70, 98, 102, 110, 122, 131, 135, 142, 143, 165, 169, 172, 175, 178, 187, 200, 216, 217, 233] [25, 28, 32, 34, 41, 42, 46, 48, 61, 71, 99, 103, 111, 123, 132, 136, 143, 144, 166, 170, 173, 176, 179, 188, 201, 217, 218, 234] [26, 29, 33, 35, 42, 43, 47, 49, 62, 72, 100, 104, 112, 124, 133, 137, 144, 145, 167, 171, 174, 177, 180, 189, 202, 218, 219, 235] [27, 30, 34, 36, 43, 44, 48, 50, 63, 73, 101, 105, 113, 125, 134, 138, 145, 146, 168, 172, 175, 178, 181, 190, 203, 219, 220, 236] [28, 31, 35, 37, 44, 45, 49, 51, 64, 74, 102, 106, 114, 126, 135, 139, 146, 147, 169, 173, 176, 179, 182, 191, 204, 220, 221, 237] [0, 29, 32, 36, 38, 45, 46, 50, 52, 65, 75, 103, 107, 115, 136, 140, 147, 148, 170, 174, 177, 180, 183, 192, 205, 221, 222, 238] [1, 30, 33, 37, 39, 46, 47, 51, 53, 66, 76, 104, 108, 116, 137, 141, 148, 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246] [1, 5, 13, 25, 54, 57, 61, 63, 70, 71, 75, 77, 90, 100, 136, 161, 165, 172, 173, 195, 199, 202, 205, 208, 217, 230, 246, 247] [2, 6, 14, 26, 55, 58, 62, 64, 71, 72, 76, 78, 91, 101, 137, 162, 166, 173, 174, 196, 200, 203, 206, 209, 218, 231, 247, 248] [3, 7, 15, 27, 56, 59, 63, 65, 72, 73, 77, 79, 92, 102, 138, 163, 167, 174, 175, 197, 201, 204, 207, 210, 219, 232, 248, 249]
Code ID 254-86-18 · download JSON · raw on GitHub