[[66,12,14]] · QEC Challenge

[[66,12,14]] d ≤stabilizer

kd²/n

35.636

Share this result

Distance

a general stabilizer code has no X and Z sides: d is the minimum Pauli weight of a nontrivial logical operator (a Y factor counts one qubit), and the witness is one Pauli operator that commutes with every generator and is not a product of them

d 14 · witness Pauli weight 14 (claimed upper_bound)

witness operator (Pauli string, 14 qubits)

ZIIIIIIIZIIIIIIXIIZIZIIIIXIIXIIIIZIZIIXIIIIIIZIIIIIIIZXIIIIIIIIIXI X: [15, 25, 28, 38, 54, 64] Z: [0, 8, 18, 20, 33, 35, 45, 53]

certificate none yet · distance stands as a self-certified upper bound (d ≤); the Pauli-weight certifier is not built yet, so stabilizer entries cannot earn d= for now

Diagnostics

computed by the verifier from the parity checks, the layout, and the stored witnesses; shown as evidence, not used for ranking

girth S 4 (shortest cycle of the generator Tanner graph; longer is friendlier to belief propagation)

check weights S 26–32 (mean 29.185)

qubit degrees S 2–50 (mean 23.879)

trapping sets S (1,2)×27 (2,8)×3 (3,6)×12 (smallest syndrome weight at each size, connected sets of up to 3 qubits)

full (size, syndrome weight): count census for S

(1,2): 27 (1,30): 8 (1,34): 2 (1,38): 6 (1,40): 6 (1,42): 9 (1,44): 4 (1,46): 2 (1,50): 2 (2,8): 3 (2,10): 10 (2,12): 24 (2,14): 42 (2,16): 88 (2,18): 66 (2,20): 111 (2,22): 76 (2,24): 100 (2,26): 70 (2,28): 198 (2,30): 24 (2,32): 65 (2,34): 2 (2,36): 130 (2,38): 120 (2,40): 189 (2,42): 88 (2,44): 46 (2,48): 50 (3,6): 12 (3,8): 50 (3,10): 211 (3,12): 500 (3,14): 1206 (3,16): 1440 (3,18): 2786 (3,20): 2216 (3,22): 3458 (3,24): 2734 (3,26): 4539 (3,28): 2386 (3,30): 2948 (3,32): 1362 (3,34): 2547 (3,36): 1748 (3,38): 2413 (3,40): 1116 (3,42): 567 (3,44): 12 (3,46): 607

Construction & provenance

authors @MathysRennela

provenance submitted through the challenge

novelty novelty not audited

construction Grassl additive-table quantum code; quantum code over GF(2²) as tabulated at codetables.de: stored stabilizer matrix for cell [[66,12]] (table bounds 14-19, https://codetables.de/QECC.php?q=4&n=66&k=12) read as binary symplectic rows [x | z]; rank(A|B) < rank(A) + rank(B), so the group has no pure-X/pure-Z basis and the entry is typed stabilizer; generators reduced here to the lightest independent subset ordered by Pauli weight, k = n - rank S, n/k/check weight recomputed from those rows; distance.P witness from this submission's own search.

model MiMo v2.6 Flash (claimed, not verified)

date 2026-09-28

notes Not equivalent to any entry on the board: validate_candidate fingerprint and WL-signature dedup came back clean on 2026-09-27 against main@fc36aafe, and no committed entry is typed stabilizer to share the cell.

family other (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

[[66,12,14]] — Grassl additive-table weight-9plus stabilizer code

Direction & hypothesis

The stabilizer leaderboard was empty when this sweep ran: every entry in codes/ was typed CSS, so a general (X/Z-mixed) stabilizer code had no board to compete on and no bar to clear other than its own weight class. Grassl's additive [[n,k,d]] tables at codetables.de store the *generator matrix* behind most cells, not just the parameters, which makes them a ready-made source of such codes: fetch the matrix, keep what the verifier's caps allow, and an empty weight class is open by construction.

What made this cell worth packaging rather than any other: it is the most efficient survivor of the whole sweep (k d^2/n = 35.6: a witnessed d = 14 at n = 66).

What was searched

A mirror of the table (all 33152 cells with n <= 256, of which 18141 carry a stored construction) was filtered to cells that have a stored matrix at n <= 80, plus exact-bound cells up to n = 126 — 3686 detail pages, fetched once and cached. 3607 of them rebuilt into a valid code (79 failed the isotropy / length / k checks): 664 CSS, 2943 non-CSS.

Screening ran cheapest-first, so no search budget was spent on what the gate would reject anyway:

caps n <= 700, check weight <= 32 -> 1252 survivors (119 CSS, 1133 stabilizer);
the block rule — a stabilizer group that splits over disjoint qubit sets is a

direct sum, not one code — dropped 673 more (251 two-block, 150 three-block, ...) -> 443 stabilizer survivors;

exact-duplicate fingerprints inside the sweep and against the board;
distance, on the same instrument verify/validate_candidate.py refutes with:

ris-pauli at 1500 python trials plus the doubled accelerated search at 300000 trials, seed 0.

211 of the 443 lie on the frontier over (n, k, d, w); the weight-4/6/8 cells took one or two representatives each and weight-9plus took the two best by k d^2/n.

Evidence trail

| step | budget | reading | |---|---|---| | codetables.de table, cell [[66,12]] | — | lower bound 14, upper bound 19 | | screen (RIS + accelerated, seed 0) | 1500 python + 300000 accelerated trials | d = 14, verdict *corroborated* | | packaging (./qldpc submit) | 20000 python + 2000000 accelerated trials | d = 14, distance.P.witness embedded | | validate_candidate refute pass | gate budget, random seed | passed, not refuted | | verify/validate_candidate.py from the CLI | fresh random seed | passed, not refuted |

The claim is a witness-backed upper bound: a weight-14 Pauli logical is in the file, so d <= 14, and the table's own lower bound says d >= 14, which is also tighter than the table's own upper bound of 19. It is not marked exact: nothing here proved that no lighter logical exists.

Dead ends

The CSS half of the table yields almost nothing. Of 664 CSS cells, 545 have

check weight above the verifier's cap of 32 (high-rate d = 2 codes stored as a couple of very dense generators), 87 split into two or more blocks, and 2 were already on the board. One CSS code survived all of that and advanced; the rest of the track produced nothing.

No Hadamard-CSS images: every non-CSS row carried a Y, so the

"CSS up to a local Hadamard" shortcut applied to 0 of 3607 cells.

Direct sums and padding were the largest rejection reason after the weight

cap: 673 stabilizer records, many of them a good code plus idle qubits.

Above n = 126 nothing was fetched in this run, so the claim of what lives

there is untested rather than negative.

Tools

Model: MiMo v2.6 Flash (opencode). Harness: the repo's own stack — the RIS searches in verify/heuristic_distance.py and research/kit/surrogate.py, the gf2_fast accelerator, and verify/validate_candidate.py as the only judge. The mirror/fetch/screen scripts were run locally and are not committed; the two sections above are the method in full. ~18 CPU-minutes for the mirror plus the 3686-page fetch, ~15 minutes to screen the 443 survivors four-way parallel.

Reproduction

The generators ship in this PR: codes/66-12-14.json, checks.S, one {"X": [...], "Z": [...]} per row. To rebuild from the source instead: fetch https://codetables.de/QECC.php?q=4&n=66&k=12, parse the stored matrix rows as binary symplectic rows [x | z] of length 2n, order them lightest-first by Pauli weight (a Y in both halves counts once) and keep an independent subset — the subset can only lower the max weight — then k = n - rank S. Distance: ris_min_pauli_logical in verify/heuristic_distance.py at the budgets above, seed 0.

Stabilizer generators

generators 54 (max weight 32; 54 mixed X/Z) (one binary symplectic matrix S = (A | B); generator i is X on A_i and Z on B_i, Y where both)

generators (54, Pauli strings on 66 qubits)

IIIIXIIIIIIIIIIIIIIIIIIIIIIXIIIIIXZZZIXZIYIXYIZYXYZIYXIYIZXIZZZXIZ IIIIZIIIIIIIIIIIIIIIIIIIIIIZIIIIIZYYYIZYIXIZXIYXZXYIXZIXIYZIYYYZIY IIIIIXIIIIIIIIIIIIIIIIIIIIIIXIIIIIXZZZIXZIYIXYIZYXYZIYXIYIZXIZZZXZ IIIIIZIIIIIIIIIIIIIIIIIIIIIIZIIIIIZYYYIZYIXIZXIYXZXYIXZIXIYZIYYYZY IIIIIIIIIIIIIIIIIIIIIXIIIIIXZZZIXZIYIXYIZYXYZIYXIYIZXIZZZXIIIIIXIZ IIIIIIIIIIIIIIIIIIIIIZIIIIIZYYYIZYIXIZXIYXZXYIXZIXIYZIYYYZIIIIIZIY IIIIIIIIIIIIIIIIIIIIIIXIIIIIXZZZIXZIYIXYIZYXYZIYXIYIZXIZZZXIIIIIXZ IIIIIIIIIIIIIIIIIIIIIIZIIIIIZYYYIZYIXIZXIYXZXYIXZIXIYZIYYYZIIIIIZY IXIIIIIIIIIIIIIIIIIIIIIIIIIYYYXYXXZIZYIIZIIZIIIZXYYIIXXYIZYYYIYZZZ IZIIIIIIIIIIIIIIIIIIIIIIIIIXXXZXZZYIYXIIYIIYIIIYZXXIIZZXIYXXXIXYYY IIXIIIIIIIIIIIIIIIIIIIIIIIIZZYIZXXIIZYXYIZIXIYXYIIYYIYYIXZYYXIYYYI IIZIIIIIIIIIIIIIIIIIIIIIIIIYYXIYZZIIYXZXIYIZIXZXIIXXIXXIZYXXZIXXXI IIIXIIIIIIIIIIIIIIIIIIIIIIIYIZZXXXYYYIIIYIZZZXXIIZIYYXIXYZIYIIXYXY IIIZIIIIIIIIIIIIIIIIIIIIIIIXIYYZZZXXXIIIXIYYYZZIIYIXXZIZXYIXIIZXZX IIIIIIIIIIIIXIIIIIIIIIIIIIIYYXYIIXIZZIYIXZIIXYXYYXIIXXXIZXZZXIZYZI IIIIIIIIIIIIZIIIIIIIIIIIIIIXXZXIIZIYYIXIZYIIZXZXXZIIZZZIYZYYZIYXYI IIIIIIIIIIIIIXIIIIIIIIIIIIIZZYZIZIIZIYZIIXZXZZZZXZXIIZYIZIIZIZYZZZ IIIIIIIIIIIIIZIIIIIIIIIIIIIYYXYIYIIYIXYIIZYZYYYYZYZIIYXIYIIYIYXYYY IIIIIIIIIIIIIIXIIIIIIIIIIIIZYZIXZZXZIXXXIIXYYXYXIIZXIYIZZIXIIYXYYI IIIIIIIIIIIIIIZIIIIIIIIIIIIYXYIZYYZYIZZZIIZXXZXZIIYZIXIYYIZIIXZXXI IIIIIIIIIIIIIIIIIIIIIIIXIIIXYXIIYIZYXIXYYIZIIXXZZZIYIIIYYYXXXZZIYY IIIIIIIIIIIIIIIIIIIIIIIZIIIZXZIIXIYXZIZXXIYIIZZYYYIXIIIXXXZZZYYIXX IIIIIIIIIIIIIIIIIIIIIIIIXIIYYYIXYYZXIYYIYYIIYXYIXIZIYXYZIIXXZIYZZI IIIIIIIIIIIIIIIIIIIIIIIIZIIXXXIZXXYZIXXIXXIIXZXIZIYIXZXYIIZZYIXYYI IIIIIIIIIIIIIIIIIIIIIIIIIXIZZYIYYYZIYXXIIYYXZIIIZIIZIIYZIZXXYXYYYZ IIIIIIIIIIIIIIIIIIIIIIIIIZIYYXIXXXYIXZZIIXXZYIIIYIIYIIXYIYZZXZXXXY XIIIIIIIIIIIIIIIIIIIIIIIIIIXYIZZXIYXXYXZIIIYXZYZXYIIIZXYXXYIXZZIYX ZIIIIIIIIIIIIIIIIIIIIIIIIIIZXIYYZIXZZXZYIIIXZYXYZXIIIYZXZZXIZYYIXZ IIIIIIIXIIIIIIIIIIIIIIIIIIIXZYYIYXYZXIIXZXZYXYIZYIIXYIYXYIXYYZIIXZ IIIIIIIZIIIIIIIIIIIIIIIIIIIZYXXIXZXYZIIZYZYXZXIYXIIZXIXZXIZXXYIIZY IIIIIIIIIXIIIIIIIIIIIIIIIIIYYZYIZXXXXXXIZXZYZYXXXXIIIIZYYYIYZYIIZI IIIIIIIIIZIIIIIIIIIIIIIIIIIXXYXIYZZZZZZIYZYXYXZZZZIIIIYXXXIXYXIIYI IIIIIIIIIIXIIIIIIIIIIIIIIIIZZYXIZZIYYIYZIZXYXXZZYIXIIYZYXXZIXXIIXZ IIIIIIIIIIZIIIIIIIIIIIIIIIIYYXZIYYIXXIXYIYZXZZYYXIZIIXYXZZYIZZIIZY IIIIIIIIIIIIIIIIXIIIIIIIIIIXIIXXIZXXYZYIIXIYZZXXYXZIZYIYYIZZIXYZZZ IIIIIIIIIIIIIIIIZIIIIIIIIIIZIIZZIYZZXYXIIZIXYYZZXZYIYXIXXIYYIZXYYY IIIIIIIIIIIIIIIIIXIIIIIIIIIZIIYZYIYYYZIIIIXXXXYZYZXZIXXXXXXZIYZYYI IIIIIIIIIIIIIIIIIZIIIIIIIIIYIIXYXIXXXYIIIIZZZZXYXYZYIZZZZZZYIXYXXI IIIIIIIIIIIIIIIIIIIXIIIIIIIXIIZYYXIYXYIYXIIYZIYXYZXZXIIXZYXYIYYZXZ IIIIIIIIIIIIIIIIIIIZIIIIIIIZIIYXXZIXZXIXZIIXYIXZXYZYZIIZYXZXIXXYZY IIIIIIIIIIIIIIIIIIIIIIIIIIXYIZZXIYXXYXZIIIYXZYZXYIIIZXYXXYIXZZIYXX IIIIIIIIIIIIIIIIIIIIIIIIIIZXIYYZIXZZXZYIIIXZYXYZXIIIYZXZZXIZYYIXZZ IIIIIIXIIIIIIIIIIIIIIIIIIIIXYXZZXIYIYXYZXZIIXYIZYIXYZZZZXZYZIZIZXY IIIIIIZIIIIIIIIIIIIIIIIIIIIZXZYYZIXIXZXYZYIIZXIYXIZXYYYYZYXYIYIYZX IIIIIIIIXIIIIIIIIIIIIIIIIIIXZZXXXYZZYZXZXZXXZYIZYIIIXXXIIZYXZXIIYY IIIIIIIIZIIIIIIIIIIIIIIIIIIZYYZZZXYYXYZYZYZZYXIYXIIIZZZIIYXZYZIIXX IIIIIIIIIIIXIIIIIIIIIIIIIIIXXZXYXZXXZIXXZIZZZYZIYIIXIZZXZIZZXYYIYY IIIIIIIIIIIZIIIIIIIIIIIIIIIZZYZXZYZZYIZZYIYYYXYIXIIZIYYZYIYYZXXIXX IIIIIIIIIIIIIIIXIIIIIIIIIIIYIYYXZZIZXZZIXIIYIZYZZZIZXXIZXXZXYXZXXY IIIIIIIIIIIIIIIZIIIIIIIIIIIXIXXZYYIYZYYIZIIXIYXYYYIYZZIYZZYZXZYZZX IIIIIIIIIIIIIIIIIIXIIIIIIIIYIIXZXYZIIXXXIIIYZIYZXXZXZXZYZZYXXXZZXY IIIIIIIIIIIIIIIIIIZIIIIIIIIXIIZYZXYIIZZZIIIXYIXYZZYZYZYXYYXZZZYYZX IIIIIIIIIIIIIIIIIIIIXIIIIIIXZIZIZYZXZZZZYXIYZIYXIIZXZYXYIYIXZZXYXY IIIIIIIIIIIIIIIIIIIIZIIIIIIZYIYIYXYZYYYYXZIXYIXZIIYZYXZXIXIZYYZXZX

symplectic rows (A | B) (54, sparse supports)

X: [4, 27, 33, 38, 41, 43, 44, 47, 48, 49, 52, 53, 55, 58, 63] Z: [34, 35, 36, 39, 41, 44, 46, 47, 49, 50, 52, 55, 57, 60, 61, 62, 65] X: [34, 35, 36, 39, 41, 44, 46, 47, 49, 50, 52, 55, 57, 60, 61, 62, 65] Z: [4, 27, 33, 34, 35, 36, 38, 39, 43, 46, 48, 50, 53, 57, 58, 60, 61, 62, 63, 65] X: [5, 28, 34, 39, 42, 44, 45, 48, 49, 50, 53, 54, 56, 59, 64] Z: [35, 36, 37, 40, 42, 45, 47, 48, 50, 51, 53, 56, 58, 61, 62, 63, 65] X: [35, 36, 37, 40, 42, 45, 47, 48, 50, 51, 53, 56, 58, 61, 62, 63, 65] Z: [5, 28, 34, 35, 36, 37, 39, 40, 44, 47, 49, 51, 54, 58, 59, 61, 62, 63, 64, 65] X: [21, 27, 32, 35, 37, 38, 41, 42, 43, 46, 47, 49, 52, 57, 63] Z: [28, 29, 30, 33, 35, 38, 40, 41, 43, 44, 46, 49, 51, 54, 55, 56, 65] X: [28, 29, 30, 33, 35, 38, 40, 41, 43, 44, 46, 49, 51, 54, 55, 56, 65] Z: [21, 27, 28, 29, 30, 32, 33, 37, 40, 42, 44, 47, 51, 52, 54, 55, 56, 57, 63, 65] X: [22, 28, 33, 36, 38, 39, 42, 43, 44, 47, 48, 50, 53, 58, 64] Z: [29, 30, 31, 34, 36, 39, 41, 42, 44, 45, 47, 50, 52, 55, 56, 57, 65] X: [29, 30, 31, 34, 36, 39, 41, 42, 44, 45, 47, 50, 52, 55, 56, 57, 65] Z: [22, 28, 29, 30, 31, 33, 34, 38, 41, 43, 45, 48, 52, 53, 55, 56, 57, 58, 64, 65] X: [1, 27, 28, 29, 30, 31, 32, 33, 37, 48, 49, 50, 53, 54, 55, 58, 59, 60, 62] Z: [27, 28, 29, 31, 34, 36, 37, 40, 43, 47, 49, 50, 55, 57, 58, 59, 60, 62, 63, 64, 65] X: [27, 28, 29, 31, 34, 36, 37, 40, 43, 47, 49, 50, 55, 57, 58, 59, 60, 62, 63, 64, 65] Z: [1, 30, 32, 33, 34, 36, 40, 43, 47, 48, 53, 54, 57, 63, 64, 65] X: [2, 29, 32, 33, 37, 38, 39, 43, 45, 46, 47, 50, 51, 53, 54, 56, 58, 59, 60, 62, 63, 64] Z: [27, 28, 29, 31, 36, 37, 39, 41, 45, 47, 50, 51, 53, 54, 57, 58, 59, 62, 63, 64] X: [27, 28, 29, 31, 36, 37, 39, 41, 45, 47, 50, 51, 53, 54, 57, 58, 59, 62, 63, 64] Z: [2, 27, 28, 31, 32, 33, 36, 38, 41, 43, 46, 56, 57, 60] X: [3, 27, 31, 32, 33, 34, 35, 36, 40, 45, 46, 51, 52, 53, 55, 56, 59, 62, 63, 64, 65] Z: [27, 29, 30, 34, 35, 36, 40, 42, 43, 44, 49, 51, 52, 56, 57, 59, 63, 65] X: [27, 29, 30, 34, 35, 36, 40, 42, 43, 44, 49, 51, 52, 56, 57, 59, 63, 65] Z: [3, 29, 30, 31, 32, 33, 42, 43, 44, 45, 46, 49, 53, 55, 57, 62, 64] X: [12, 27, 28, 29, 30, 33, 38, 40, 44, 45, 46, 47, 48, 49, 52, 53, 54, 57, 60, 63] Z: [27, 28, 30, 35, 36, 38, 41, 45, 47, 48, 56, 58, 59, 62, 63, 64] X: [27, 28, 30, 35, 36, 38, 41, 45, 47, 48, 56, 58, 59, 62, 63, 64] Z: [12, 29, 33, 35, 36, 40, 41, 44, 46, 49, 52, 53, 54, 56, 57, 58, 59, 60, 62, 64] X: [13, 29, 37, 41, 43, 48, 50, 54, 62] Z: [27, 28, 29, 30, 32, 35, 37, 38, 42, 44, 45, 46, 47, 49, 53, 54, 56, 59, 61, 62, 63, 64, 65] X: [27, 28, 29, 30, 32, 35, 37, 38, 42, 44, 45, 46, 47, 49, 53, 54, 56, 59, 61, 62, 63, 64, 65] Z: [13, 27, 28, 30, 32, 35, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 56, 59, 61, 63, 64, 65] X: [14, 28, 31, 34, 37, 38, 39, 42, 43, 44, 45, 46, 47, 51, 53, 58, 61, 62, 63, 64] Z: [27, 28, 29, 32, 33, 35, 43, 44, 46, 50, 53, 55, 56, 61, 63, 64] X: [27, 28, 29, 32, 33, 35, 43, 44, 46, 50, 53, 55, 56, 61, 63, 64] Z: [14, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 42, 45, 47, 50, 51, 55, 56, 58, 62] X: [23, 27, 28, 29, 32, 35, 36, 38, 39, 40, 45, 46, 51, 55, 56, 57, 58, 59, 60, 64, 65] Z: [28, 32, 34, 35, 39, 40, 42, 47, 48, 49, 51, 55, 56, 57, 61, 62, 64, 65] X: [28, 32, 34, 35, 39, 40, 42, 47, 48, 49, 51, 55, 56, 57, 61, 62, 64, 65] Z: [23, 27, 29, 34, 36, 38, 42, 45, 46, 47, 48, 49, 58, 59, 60, 61, 62] X: [24, 27, 28, 29, 31, 32, 33, 35, 37, 38, 40, 41, 44, 45, 46, 48, 52, 53, 54, 58, 59, 62] Z: [27, 28, 29, 32, 33, 34, 37, 38, 40, 41, 44, 46, 50, 52, 54, 55, 60, 62, 63, 64] X: [27, 28, 29, 32, 33, 34, 37, 38, 40, 41, 44, 46, 50, 52, 54, 55, 60, 62, 63, 64] Z: [24, 31, 34, 35, 45, 48, 50, 53, 55, 58, 59, 60, 63, 64] X: [25, 29, 31, 32, 33, 36, 37, 38, 41, 42, 43, 54, 58, 59, 60, 61, 62, 63, 64] Z: [27, 28, 29, 31, 32, 33, 34, 36, 41, 42, 44, 48, 51, 54, 55, 57, 60, 62, 63, 64, 65] X: [27, 28, 29, 31, 32, 33, 34, 36, 41, 42, 44, 48, 51, 54, 55, 57, 60, 62, 63, 64, 65] Z: [25, 27, 28, 34, 37, 38, 43, 44, 48, 51, 55, 57, 58, 59, 61, 65] X: [0, 27, 28, 32, 34, 35, 36, 37, 38, 43, 44, 46, 48, 49, 54, 55, 56, 57, 58, 60, 64, 65] Z: [28, 30, 31, 34, 37, 39, 43, 45, 46, 47, 49, 53, 55, 58, 61, 62, 64] X: [28, 30, 31, 34, 37, 39, 43, 45, 46, 47, 49, 53, 55, 58, 61, 62, 64] Z: [0, 27, 30, 31, 32, 35, 36, 38, 39, 44, 45, 47, 48, 53, 54, 56, 57, 60, 61, 62, 65] X: [7, 27, 29, 30, 32, 33, 34, 36, 39, 41, 43, 44, 45, 48, 51, 52, 54, 55, 56, 58, 59, 60, 64] Z: [28, 29, 30, 32, 34, 35, 40, 42, 43, 45, 47, 48, 52, 54, 56, 59, 60, 61, 65] X: [28, 29, 30, 32, 34, 35, 40, 42, 43, 45, 47, 48, 52, 54, 56, 59, 60, 61, 65] Z: [7, 27, 28, 33, 35, 36, 39, 40, 41, 42, 44, 47, 51, 55, 58, 61, 64, 65] X: [9, 27, 28, 30, 33, 34, 35, 36, 37, 38, 41, 43, 45, 46, 47, 48, 49, 55, 56, 57, 59, 61] Z: [27, 28, 29, 30, 32, 40, 42, 43, 44, 45, 54, 55, 56, 57, 59, 60, 61, 64] X: [27, 28, 29, 30, 32, 40, 42, 43, 44, 45, 54, 55, 56, 57, 59, 60, 61, 64] Z: [9, 29, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 47, 48, 49, 54, 60, 64] X: [10, 29, 30, 35, 36, 38, 42, 43, 44, 45, 48, 50, 53, 55, 56, 57, 60, 61, 64] Z: [27, 28, 29, 32, 33, 35, 36, 38, 39, 41, 43, 46, 47, 48, 53, 54, 55, 58, 65] X: [27, 28, 29, 32, 33, 35, 36, 38, 39, 41, 43, 46, 47, 48, 53, 54, 55, 58, 65] Z: [10, 27, 28, 30, 32, 33, 39, 41, 42, 44, 45, 46, 47, 50, 54, 56, 57, 58, 60, 61, 64, 65] X: [16, 27, 30, 31, 34, 35, 36, 38, 41, 43, 46, 47, 48, 49, 53, 55, 56, 61, 62] Z: [33, 36, 37, 38, 43, 44, 45, 48, 50, 52, 53, 55, 56, 58, 59, 62, 63, 64, 65] X: [33, 36, 37, 38, 43, 44, 45, 48, 50, 52, 53, 55, 56, 58, 59, 62, 63, 64, 65] Z: [16, 27, 30, 31, 33, 34, 35, 37, 41, 44, 45, 46, 47, 49, 50, 52, 58, 59, 61, 63, 64, 65] X: [17, 30, 32, 34, 35, 36, 42, 43, 44, 45, 46, 48, 50, 53, 54, 55, 56, 57, 58, 61, 63, 64] Z: [27, 30, 31, 32, 34, 35, 36, 37, 46, 47, 48, 49, 51, 59, 61, 62, 63, 64] X: [27, 30, 31, 32, 34, 35, 36, 37, 46, 47, 48, 49, 51, 59, 61, 62, 63, 64] Z: [17, 27, 31, 37, 42, 43, 44, 45, 47, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 62] X: [19, 27, 31, 32, 33, 35, 36, 37, 39, 40, 43, 46, 47, 48, 50, 52, 55, 57, 58, 59, 61, 62, 64] Z: [30, 31, 32, 35, 37, 39, 43, 44, 46, 48, 49, 51, 56, 57, 59, 61, 62, 63, 65] X: [30, 31, 32, 35, 37, 39, 43, 44, 46, 48, 49, 51, 56, 57, 59, 61, 62, 63, 65] Z: [19, 27, 30, 33, 36, 40, 44, 47, 49, 50, 51, 52, 55, 56, 58, 63, 64, 65] X: [26, 27, 31, 33, 34, 35, 36, 37, 42, 43, 45, 47, 48, 53, 54, 55, 56, 57, 59, 63, 64, 65] Z: [27, 29, 30, 33, 36, 38, 42, 44, 45, 46, 48, 52, 54, 57, 60, 61, 63] X: [27, 29, 30, 33, 36, 38, 42, 44, 45, 46, 48, 52, 54, 57, 60, 61, 63] Z: [26, 29, 30, 31, 34, 35, 37, 38, 43, 44, 46, 47, 52, 53, 55, 56, 59, 60, 61, 64, 65] X: [6, 27, 28, 29, 32, 34, 36, 37, 38, 40, 44, 45, 48, 50, 51, 56, 58, 64, 65] Z: [28, 30, 31, 34, 36, 38, 39, 41, 45, 47, 48, 51, 52, 53, 54, 55, 57, 58, 59, 61, 63, 65] X: [28, 30, 31, 34, 36, 38, 39, 41, 45, 47, 48, 51, 52, 53, 54, 55, 57, 58, 59, 61, 63, 65] Z: [6, 27, 29, 30, 31, 32, 37, 39, 40, 41, 44, 47, 50, 52, 53, 54, 55, 56, 57, 59, 61, 63, 64] X: [8, 27, 30, 31, 32, 33, 36, 38, 40, 42, 43, 45, 48, 52, 53, 54, 58, 59, 61, 64, 65] Z: [28, 29, 33, 34, 35, 36, 37, 39, 41, 44, 45, 47, 48, 57, 58, 60, 64, 65] X: [28, 29, 33, 34, 35, 36, 37, 39, 41, 44, 45, 47, 48, 57, 58, 60, 64, 65] Z: [8, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 47, 52, 53, 54, 57, 59, 60, 61] X: [11, 27, 28, 30, 31, 32, 34, 35, 38, 39, 45, 48, 51, 55, 60, 61, 62, 64, 65] Z: [29, 31, 33, 36, 40, 42, 43, 44, 45, 46, 48, 53, 54, 56, 58, 59, 61, 62, 64, 65] X: [29, 31, 33, 36, 40, 42, 43, 44, 45, 46, 48, 53, 54, 56, 58, 59, 61, 62, 64, 65] Z: [11, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 46, 51, 53, 54, 55, 56, 58, 59, 60] X: [15, 27, 29, 30, 31, 36, 40, 43, 46, 52, 53, 56, 57, 59, 60, 61, 63, 64, 65] Z: [27, 29, 30, 32, 33, 35, 37, 38, 43, 45, 46, 47, 48, 49, 51, 55, 58, 60, 62, 65] X: [27, 29, 30, 32, 33, 35, 37, 38, 43, 45, 46, 47, 48, 49, 51, 55, 58, 60, 62, 65] Z: [15, 31, 32, 33, 35, 36, 37, 38, 40, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64] X: [18, 27, 30, 32, 33, 37, 38, 39, 43, 46, 48, 49, 51, 53, 55, 58, 59, 60, 61, 64, 65] Z: [27, 31, 33, 34, 43, 44, 46, 47, 50, 52, 54, 55, 56, 57, 58, 62, 63, 65] X: [27, 31, 33, 34, 43, 44, 46, 47, 50, 52, 54, 55, 56, 57, 58, 62, 63, 65] Z: [18, 30, 31, 32, 34, 37, 38, 39, 44, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 61, 62, 63, 64] X: [20, 27, 33, 35, 40, 41, 43, 46, 47, 51, 53, 54, 55, 57, 59, 62, 63, 64, 65] Z: [28, 30, 32, 33, 34, 36, 37, 38, 39, 40, 43, 44, 46, 50, 52, 53, 55, 57, 60, 61, 63, 65] X: [28, 30, 32, 33, 34, 36, 37, 38, 39, 40, 43, 44, 46, 50, 52, 53, 55, 57, 60, 61, 63, 65] Z: [20, 27, 28, 30, 32, 34, 35, 36, 37, 38, 39, 41, 44, 47, 50, 51, 52, 54, 59, 60, 61, 62, 64]

Code ID 66-12-14 · download JSON · raw on GitHub