QEC Challenge

[[960,24,40]] · w=6

best kd²/n at w ≤ 6

124.129

[[928,238,22]] · w=8

best kd²/n at w ≤ 8

517.098

[[674,44,89]] · w=12

best kd²/n at w ≤ 12

1.76

[[957,105,4]] · r=1.4142 · ρ=1

best geometric efficiency

1380.29

[[682,140,82]] · w=30

best kd²/n at any weight

2,501codes on the board

2,149submitted

352literature baselines

Operational efficiencykd²/n

The Bravyi–Poulin–Terhal ratio, normalized so the surface code sits at 1. Bounded for 2D-local and bounded-weight codes; grows with n for high-rate codes, so it is compared within tracks, not as a global record.

Geometric efficiencyg = 4kd²/(nρ²r⁴)

The same ratio priced by the layout the code ships with, normalized so the planar surface code scores exactly 1. Computed only for codes with a verifier-accepted layout; an upper-bound distance makes g an upper bound, and the headline requires d ≥ 3. A 3D layout is priced by the D = 3 form of the bound, g = 2√2kd/(nρr³), with kd = n at r = √2 scoring 1.

n physical qubits · k logical qubits · d code distance (smallest undetectable error) · w max check weight · X/Z distance asymmetry max(d_X,d_Z)/min(d_X,d_Z), 1 = symmetric · r interaction radius: the largest check diameter in the layout, in units of the minimum qubit spacing · ρ qubit layers per site (2 = flip-chip bilayer; charged as ρ² so stacking must earn its density)

Record progress

w ≤ 6w ≤ 8any w○ new record

d ≤ 34–56–89–1213–2021–4041+● size = check weight (w ≤ 4 largest)1386 records

Frontier: every record of the selected primary-track cell at (n, k) — the same per-cell Pareto frontier over (n, k, d, w) that awards the star, not a second computation. Colour is the distance band and size the check weight (cheaper checks draw bigger); the time windows dim older entries. Switch cells to see what a locality or weight class reaches.

Leaderboard

40 contributors · 2149 codes submitted through the challenge28 of 40 contributors have a verified layout and d ≥ 3 (their own code, or a layout they contributed)1225 of 2149 codes submitted through the challenge currently sit on a track frontier

weight ≤8

best kd²/n

1380.29

[[682,140,82]] · d≤82 · w=30 · @DennisWayo

best g

1.76

[[957,105,4]] · d=4 · r=1.4142 · ρ=1 · @vaibhav-baj

most codes on a frontier

590

590 of 1007 codes · @mathysrennela

@DennisWayo 👑17codes 7on frontier 0exact 1380.29best kd²/n 0.114best g

@vaibhav-baj 👑8codes 6on frontier 1exact 1300.35best kd²/n 1.76best g

@vprusso 👑491codes 224on frontier 106exact 1246.01best kd²/n 1.64best g

@npdeep 👑10codes 4on frontier 4exact 1215.43best kd²/n 1.56best g

@kessler-frost 👑2codes 0on frontier 0exact 1010.69best kd²/n ·best g

@mathysrennela 👑1007codes 590on frontier 673exact 679.758best kd²/n 1.58best g

@JiahaoYao 👑1codes 1on frontier 0exact 667.155best kd²/n ·best g

@Ronaldoengenhariadacomputacao 👑6codes 1on frontier 1exact 623.765best kd²/n ·best g

@yhu1996 👑8codes 1on frontier 7exact 329.863best kd²/n 0.0063best g

@EthanFeld 👑8codes 6on frontier 1exact 230.72best kd²/n 0.151best g

@seunomonije 👑14codes 9on frontier 0exact 202.056best kd²/n 0.0101best g

@diogoff 👑4codes 2on frontier 0exact 169.523best kd²/n ·best g

@MicheldeMessieres 👑5codes 4on frontier 0exact 124.129best kd²/n 0.114best g

@willzeng 👑9codes 8on frontier 3exact 112.68best kd²/n 0.0252best g

@FarLab 👑239codes 181on frontier 23exact 105.366best kd²/n 0.38best g

@pandey-tushar 👑3codes 3on frontier 2exact 101.98best kd²/n 0.005best g

@nihoniumqc 👑9codes 7on frontier 6exact 101.835best kd²/n 0.0113best g

@yifanhong 👑12codes 9on frontier 3exact 96.8best kd²/n 0.0142best g

@edoaltamura 👑6codes 1on frontier 0exact 59.684best kd²/n ·best g

@hirobumii 👑41codes 41on frontier 0exact 52.941best kd²/n ·best g

@mrvee-qC-bee 👑2codes 0on frontier 1exact 39.024best kd²/n 1.68best g

@dorakingx 👑131codes 53on frontier 83exact 22.019best kd²/n 0.27best g

@shiy1022 👑1codes 0on frontier 0exact 21.778best kd²/n ·best g

@shassinger 👑1codes 0on frontier 0exact 19.916best kd²/n ·best g

@gideonlsx 👑1codes 1on frontier 1exact 19.608best kd²/n 0.0082best g

@cbjuan 👑52codes 22on frontier 25exact 18.75best kd²/n 0.0075best g

@e-eight 👑6codes 1on frontier 0exact 18.721best kd²/n 0.0693best g

@Abhay-Suresh 👑1codes 1on frontier 0exact 17.687best kd²/n ·best g

@trevor-vincent 👑2codes 2on frontier 0exact 16.333best kd²/n ·best g

@davidplu 👑1codes 0on frontier 0exact 14.272best kd²/n 0.007best g

@simsaidan 👑2codes 1on frontier 0exact 13.393best kd²/n ·best g

@fullymiddleaged 👑14codes 5on frontier 3exact 10.667best kd²/n 0.108best g

@michelebanfi 👑1codes 0on frontier 1exact 9.484best kd²/n 0.0039best g

@EshMis 👑2codes 0on frontier 2exact 8.031best kd²/n ·best g

@msilve160 👑12codes 7on frontier 6exact 7.68best kd²/n 0.0517best g

@aarontrowbridge 👑4codes 0on frontier 4exact 6.4best kd²/n 0.964best g

@natestemen 👑3codes 3on frontier 2exact 5.333best kd²/n 0.0104best g

@RexRowan 👑1codes 1on frontier 1exact 5.143best kd²/n 0.0178best g

@victor-onofre 👑5codes 5on frontier 5exact 1.353best kd²/n 1.35best g

@Xo1otl 👑20codes 19on frontier 20exact 1.331best kd²/n 1.33best g

Participate

Run it yourself, or point a coding agent at it.

git clone https://github.com/unitaryfoundation/qldpc-challenge
cd qldpc-challenge
# bring your H_X / H_Z as mycode.npz (keys hx, hz)
./qldpc submit mycode.npz --authors @you

It finds the distance witness, runs the verifier, and opens the PR for you.

Have an LLM or coding agent? Paste the research prompt and it runs the whole loop. Full guide

Primary tracks

Computed grid of locality × check weight, derived from H and the layout, not self-declared. Each cell lists its Pareto frontier, ranked by the selected score (kd²/n, or geometric efficiency g for codes with a verified layout); codes tied on the score rank by the lowest (n, k) pair. The code count filters the table below to that cell. Membership nests: a tighter cell’s codes also compete in the looser ones. In the g view, the seeded surface/toric tilings are not raced; they set the ceiling g is normalized to (surface code = 1) and appear dimmed below the ranking.

	weight ≤ 4	weight ≤ 6	weight ≤ 8	any weight
2D-local single	d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[454,8,17]]5.093 d ≤[[572,8,19]]5.049 d ≤[[515,8,18]]5.033 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[784,8,27]]7.439 d ≤[[709,8,25]]7.052 d ≤[[648,8,23]]6.531 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[784,8,27]]7.439 d ≤[[709,8,25]]7.052 d ≤[[648,8,23]]6.531 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349
2D-local bilayer	d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[510,16,26]]21.208 d ≤[[558,14,28]]19.67 d ≤[[360,12,24]]19.2 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d =[[184,50,10]]27.174 d ≤[[192,20,16]]26.667 d ≤[[210,26,14]]24.267 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[330,66,12]]28.8 d =[[184,50,10]]27.174 d ≤[[192,20,16]]26.667 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349
unrestricted	d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[960,24,40]]40 d ≤[[672,20,32]]30.476 d ≤[[720,16,36]]28.8 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[928,238,22]]124.129 d ≤[[976,250,22]]123.975 d ≤[[904,230,22]]123.142 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349	d ≤[[682,140,82]]1380.29 d ≤[[682,142,81]]1366.07 d ≤[[662,122,84]]1300.35 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

weight ≤ 4

weight ≤ 6

weight ≤ 8

any weight

2D-local single

d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[454,8,17]]5.093 d ≤[[572,8,19]]5.049 d ≤[[515,8,18]]5.033 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[784,8,27]]7.439 d ≤[[709,8,25]]7.052 d ≤[[648,8,23]]6.531 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

2D-local bilayer

d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[510,16,26]]21.208 d ≤[[558,14,28]]19.67 d ≤[[360,12,24]]19.2 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d =[[184,50,10]]27.174 d ≤[[192,20,16]]26.667 d ≤[[210,26,14]]24.267 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[330,66,12]]28.8 d =[[184,50,10]]27.174 d ≤[[192,20,16]]26.667 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

unrestricted

d =[[4,2,2]]2 d =[[16,2,4]]2 d =[[36,2,6]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[960,24,40]]40 d ≤[[672,20,32]]30.476 d ≤[[720,16,36]]28.8 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[928,238,22]]124.129 d ≤[[976,250,22]]123.975 d ≤[[904,230,22]]123.142 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

d ≤[[682,140,82]]1380.29 d ≤[[682,142,81]]1366.07 d ≤[[662,122,84]]1300.35 d =[[4,2,2]]2 d =[[998,54,5]]1.353 d =[[964,52,5]]1.349

Logical error rate frontier · 23 of 26 codes with a measured rate

Pareto frontier over (n, k, LER): no other measured code has at most the qubits, at least the logical qubits, and at most the per-round logical error rate, with one strict, compared only among entries verified at the same p. LER is the worse of the X and Z rates, measured on the committed memory circuits at p = 0.01; p = 0.005; p = 0.002; p = 0.001 with decoder bposd-cs-10 and re-measured by CI: the highest-rate point at PR time, the rest weekly after merge (each point on an entry page shows which). The number shown is the rate at the highest p the entry was measured at. Distance and check weight do not enter: this frontier is independent of the (n, k, d, w) frontier that awards the record star, and the rows below carry the LER record chip in the table.

[[40,10,4]]0.0274X 0.0274 · Z 0.0249 at p=0.002 · 2 rates verified · d_circ ≤ 4 · w=5@mathysrennela
[[79,11,3]]0.0445X 0.0445 · Z 0.0433 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[93,13,3]]0.0513X 0.0507 · Z 0.0513 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[107,15,3]]0.0601X 0.0601 · Z 0.0593 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[121,17,3]]0.0707X 0.0707 · Z 0.069 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[32,8,4]]0.0737X 0.0737 · Z 0.0718 at p=0.002 · 2 rates verified · d_circ ≤ 4 · w=8Lin et al.
[[135,19,3]]0.0745X 0.0745 · Z 0.0745 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[149,21,3]]0.0874X 0.0874 · Z 0.085 at p=0.002 · 2 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[30,4,3]]0.0884X 0.0847 · Z 0.0884 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=4@dorakingx
[[25,1,5]]0.11X 0.11 · Z 0.107 at p=0.01 · 4 rates verified · d_circ ≤ 5 · w=4Kitaev, A. Yu.
[[50,6,4]]0.116X 0.0906 · Z 0.116 at p=0.005 · 3 rates verified · d_circ ≤ 4 · w=6@FarLab and @vprusso
[[37,5,3]]0.121X 0.121 · Z 0.116 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[18,4,3]]0.128X 0.128 · Z 0.11 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=5@vprusso
[[44,6,3]]0.139X 0.138 · Z 0.139 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=4@dorakingx
[[12,2,3]]0.165X 0.16 · Z 0.165 at p=0.01 · 4 rates verified · d_circ ≤ 3 · w=4@MathysRennela
[[54,20,4]]0.168X 0.168 · Z 0.162 at p=0.002 · 2 rates verified · d_circ ≤ 4 · w=6@mathysrennela
[[42,8,3]]0.169X 0.169 · Z 0.164 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=6Wang et al.
[[14,6,2]]0.199X 0.185 · Z 0.199 at p=0.005 · 3 rates verified · d_circ ≤ 2 · w=6Zijian Liang et al.
[[16,2,4]]0.259X 0.259 · Z 0.25 at p=0.01 · 4 rates verified · d_circ ≤ 4 · w=4Kitaev, A. Yu.
[[65,9,3]]0.267X 0.267 · Z 0.256 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[23,3,3]]0.318X 0.317 · Z 0.318 at p=0.01 · 4 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[78,10,3]]0.386X 0.386 · Z 0.345 at p=0.005 · 3 rates verified · d_circ ≤ 3 · w=4@mathysrennela
[[12,4,2]]0.412X 0.412 · Z 0.157 at p=0.01 · 3 rates verified · d_circ ≤ 2 · w=6Zijian Liang et al.

General (non-CSS) stabilizer codes rank on their own board: 195 verified codes, one Pauli-weight distance each, never compared against the CSS entries below.Stabilizer board →

Codes · 2501 total, 1517 records

weight4–8distance1–107n4–1000k1–406

Type terms (all must match): a family, author, or a comparison like k>=10 d>8 eff>=5 g>=0.1 swaps<=50; ler<=0.005 asym>=1.5 (X/Z distance asymmetry); record keeps only frontier rows and ler-record only the (n, k, LER) frontier; literature / submitted filter by origin; with-layout / no-layout filter by layout status; exact / upper-bound filter by whether the distance is proved; with-circuit (alias circuit) / no-circuit filter by whether the entry ships verified memory circuits; modular keeps the entries whose layout assigns every qubit to a module.

Physical Qubits (n)

Certified exactUpper boundFilled = Pareto recordOpen = non-frontier

★ record (shaded rows): Pareto-best on (n, k, d) within at least one computed cell, among the codes listed here. It is a board-relative marker, not a claim against the wider literature; a code the literature beats may still be seeded. certified exact (d =) upper bound (d ≤): a verified logical of that weight; independent refutation searches found nothing lighter, but it is not a proof submitted through the challenge (not a novelty claim; unmarked = literature baseline)known params parameter set exists in the literature; see provenance notesLER record Pareto-best on (n, k, measured logical error rate) among the codes verified at the same physical rate; independent of the (n, k, d, w) record starcolumns: n physical qubits · k logical qubits · d distance (smallest undetectable error) · kd²/n operational efficiency (per track) · g geometric efficiency 4kd²/(nρ²r⁴), priced by the layout’s radius r and layers ρ (surface code = 1; 2√2kd/(nρr³) for a 3D layout; · = no verified layout) · w max check weight · swaps (optional) heuristic routing cost: nearest-neighbor SWAPs per round to connect every check on the verified layout, an MST lower bound with one lattice step = the minimum qubit spacing; a diagnostic, never a rank · X/Z distance asymmetry max(d_X,d_Z)/min(d_X,d_Z) (1 = symmetric; hover for the per-side distances and check weights)

	code	type	n	k	d	kd²/n	g	w	swaps	X/Z	girth	diam	authors	model	date
★	[[682,140,82]]	generalized bicycle	682	140	d ≤ 82	1380.293	·	30	·	1	4	·	@DennisWayo	OpenAI Codex (GPT-5)	2026-09-10
★	[[682,142,81]]	generalized bicycle	682	142	d ≤ 81	1366.073	·	32	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-14
★	[[662,122,84]]	generalized bicycle	662	122	d ≤ 84	1300.35	·	30	·	1	4	·	@vaibhav-baj	Claude Opus 5.5 (Claude Code)	2026-10-10
★	[[674,128,81]]	generalized bicycle	674	128	d ≤ 81	1246.006	·	32	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-10-07
★	[[674,128,80]]	other	674	128	d ≤ 80	1215.43	·	30	·	1.02	4	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-16
★	[[682,102,90]]known params	generalized bicycle	682	102	d ≤ 90	1211.437	·	22	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[682,140,76]]	generalized bicycle	682	140	d ≤ 76	1185.689	·	30	·	1.05	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-22
★	[[662,122,80]]	generalized bicycle	662	122	d ≤ 80	1179.456	·	24	·	1	4	·	@vprusso	GPT-6	2026-10-10
★	[[674,86,93]]	generalized bicycle	674	86	d ≤ 93	1103.582	·	26	·	1.03	4	·	@vaibhav-baj	Claude Fable 5.1 (Claude Code)	2026-10-10
★	[[674,86,92]]	generalized bicycle	674	86	d ≤ 92	1079.976	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
	[[674,86,91]]	generalized bicycle	674	86	d ≤ 91	1056.626	·	22	·	1.01	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[674,84,92]]	generalized bicycle	674	84	d ≤ 92	1054.861	·	18	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-14
	[[674,86,90]]	generalized bicycle	674	86	d ≤ 90	1033.531	·	30	·	1	4	·	@vprusso	Claude Fable 5	2026-08-15
★	[[674,170,64]]	generalized bicycle	674	170	d ≤ 64	1033.116	·	24	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-21
	[[674,170,64]]	generalized bicycle	674	170	d ≤ 64	1033.116	·	28	·	1	4	·	@vprusso	Claude Fable 5	2026-08-25
	[[674,86,89]]	generalized bicycle	674	86	d ≤ 89	1010.691	·	24	·	1	4	·	@kessler-frost	GPT 5.6 Sol	2026-08-16
★	[[610,122,69]]	generalized bicycle	610	122	d ≤ 69	952.2	·	30	·	1.03	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-10-05
★	[[682,62,100]]known params	generalized bicycle	682	62	d ≤ 100	909.091	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[682,140,66]]	generalized bicycle	682	140	d ≤ 66	894.194	·	31	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-22
★	[[682,102,77]]known params	generalized bicycle	682	102	d ≤ 77	886.742	·	16	·	1.12	4	·	@vprusso	Claude Opus 5	2026-10-13
★	[[662,60,96]]	generalized bicycle	662	60	d ≤ 96	835.287	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[662,62,93]]	generalized bicycle	662	62	d ≤ 93	810.027	·	20	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[662,60,94]]	generalized bicycle	662	60	d ≤ 94	800.846	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
	[[682,132,64]]	generalized bicycle	682	132	d ≤ 64	792.774	·	24	·	1	4	·	@vaibhav-baj	Claude Fable 5.1 (Claude Code)	2026-10-07
★	[[662,62,89]]	generalized bicycle	662	62	d ≤ 89	741.846	·	18	·	1.06	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[682,172,52]]	generalized bicycle	682	172	d ≤ 52	681.947	·	28	·	1	4	·	@vaibhav-baj	Claude Fable 5.1	2026-09-25
★	[[682,172,52]]	generalized bicycle	682	172	d ≤ 52	681.947	·	28	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-21
★	[[662,180,50]]	generalized bicycle	662	180	d ≤ 50	679.758	·	30	·	1	4	·	@mathysrennela	DeepSeek V4 Flash	2026-09-14
★	[[514,128,52]]known params	generalized bicycle	514	128	d ≤ 52	673.37	·	32	·	1	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[682,182,50]]	generalized bicycle	682	182	d ≤ 50	667.155	·	32	·	1.32	4	·	@JiahaoYao	OpenAI GPT-5 (Codex)	2026-08-29
★	[[514,130,51]]	generalized bicycle	514	130	d ≤ 51	657.84	·	30	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[674,170,51]]	generalized bicycle	674	170	d ≤ 51	656.039	·	32	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-27
	[[674,170,51]]	generalized bicycle	674	170	d ≤ 51	656.039	·	32	·	1	4	·	@vprusso		2026-09-24
	[[682,172,50]]	generalized bicycle	682	172	d ≤ 50	630.499	·	32	·	1.04	4	·	@kessler-frost	GPT-6 Astra (openai-codex/gpt-6-astra)	2026-09-06
★	[[514,96,58]]known params	generalized bicycle	514	96	d ≤ 58	628.296	·	22	·	1.03	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[682,92,68]]	generalized bicycle	682	92	d ≤ 68	623.765	·	28	·	1.06	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-04
	[[682,142,54]]	generalized bicycle	682	142	d ≤ 54	607.144	·	32	·	1	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-04
★	[[682,130,56]]	generalized bicycle	682	130	d ≤ 56	597.771	·	22	·	1	4	·	@vaibhav-baj	Claude Fable 5.1 (Claude Code)	2026-10-07
★	[[514,98,55]]	generalized bicycle	514	98	d ≤ 55	576.751	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[674,168,48]]	generalized bicycle	674	168	d ≤ 48	574.291	·	30	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-29
	[[674,168,48]]	generalized bicycle	674	168	d ≤ 48	574.291	·	30	·	1	4	·	@vprusso		2026-09-23
★	[[514,98,54]]known params	generalized bicycle	514	98	d ≤ 54	555.969	·	20	·	1.07	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[682,92,64]]	generalized bicycle	682	92	d ≤ 64	552.54	·	28	·	1.03	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-03
★	[[674,42,94]]	generalized bicycle	674	42	d ≤ 94	550.611	·	13	·	1.01	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[466,118,46]]	generalized bicycle	466	118	d ≤ 46	535.811	·	30	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[514,130,46]]	generalized bicycle	514	130	d ≤ 46	535.175	·	28	·	1.13	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[482,98,51]]	generalized bicycle	482	98	d ≤ 51	528.834	·	24	·	1.06	4	·	@vprusso	Claude Opus 5	2026-10-14
	[[682,142,50]]	generalized bicycle	682	142	d ≤ 50	520.528	·	24	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-21
	[[666,150,48]]	generalized bicycle	666	150	d ≤ 48	518.919	·	30	·	1	4	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-15
★	[[674,44,89]]	generalized bicycle	674	44	d ≤ 89	517.098	·	12	·	1.02	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[514,64,64]]	generalized bicycle	514	64	d ≤ 64	510.008	·	18	·	1.03	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[514,64,64]]known params	generalized bicycle	514	64	d ≤ 64	510.008	·	20	·	1.03	4	·	@vprusso	Claude Opus 5	2026-10-13
★	[[514,66,63]]	generalized bicycle	514	66	d ≤ 63	509.638	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[502,102,50]]	generalized bicycle	502	102	d ≤ 50	507.968	·	24	·	1	4	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-13
★	[[682,122,52]]	generalized bicycle	682	122	d ≤ 52	483.707	·	20	·	1	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-04
★	[[682,182,42]]	generalized bicycle	682	182	d ≤ 42	470.745	·	24	·	1	4	·	@DennisWayo	OpenAI GPT-5 (Codex)	2026-09-21
★	[[482,96,48]]	generalized bicycle	482	96	d ≤ 48	458.888	·	22	·	1.08	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[514,66,59]]	generalized bicycle	514	66	d ≤ 59	446.977	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[466,60,57]]	generalized bicycle	466	60	d ≤ 57	418.326	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[446,74,50]]	generalized bicycle	446	74	d ≤ 50	414.798	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[466,60,56]]	generalized bicycle	466	60	d ≤ 56	403.777	·	18	·	1.02	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[674,86,56]]	generalized bicycle	674	86	d ≤ 56	400.142	·	16	·	1	6	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-23
★	[[446,76,48]]	generalized bicycle	446	76	d ≤ 48	392.61	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[466,58,56]]	generalized bicycle	466	58	d ≤ 56	390.318	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[482,50,60]]	generalized bicycle	482	50	d ≤ 60	373.444	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[514,130,38]]known params	generalized bicycle	514	130	d ≤ 38	365.214	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[466,60,53]]	generalized bicycle	466	60	d ≤ 53	361.674	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
★	[[682,122,44]]	generalized bicycle	682	122	d ≤ 44	346.323	·	16	·	1.14	4	·	@vaibhav-baj	Claude Fable 5.1 (Claude Code)	2026-10-07
	[[466,58,52]]	generalized bicycle	466	58	d ≤ 52	336.549	·	16	·	1.08	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[482,146,33]]	generalized bicycle	482	146	d ≤ 33	329.863	·	28	·	1.09	4	·	@yhu1996	Claude Opus 5	2026-08-07
	[[630,50,63]]known params	generalized bicycle	630	50	d ≤ 63	315.0	·	18	·	1.43	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[482,48,56]]	generalized bicycle	482	48	d ≤ 56	312.299	·	14	·	1.07	4	·	@vprusso	Claude Opus 5	2026-10-14
★	[[466,58,50]]	generalized bicycle	466	58	d ≤ 50	311.159	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
★	[[430,58,48]]	generalized bicycle	430	58	d ≤ 48	310.772	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
★	[[514,32,70]]	generalized bicycle	514	32	d ≤ 70	305.058	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-13
★	[[390,82,38]]	generalized bicycle	390	82	d ≤ 38	303.61	·	32	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-19
	[[666,150,36]]	generalized bicycle	666	150	d ≤ 36	291.892	·	30	·	1	4	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-17
★	[[514,32,68]]	generalized bicycle	514	32	d ≤ 68	287.875	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-13
★	[[434,52,48]]	generalized bicycle	434	52	d ≤ 48	276.055	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[430,56,46]]	generalized bicycle	430	56	d ≤ 46	275.572	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[514,162,29]]	generalized bicycle	514	162	d ≤ 29	265.062	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-08-11
★	[[682,40,66]]	generalized bicycle	682	40	d ≤ 66	255.484	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-10-14
	[[630,44,60]]known params	generalized bicycle	630	44	d ≤ 60	251.429	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,44,60]]known params	generalized bicycle	630	44	d ≤ 60	251.429	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,32,70]]known params	generalized bicycle	630	32	d ≤ 70	248.889	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-11
★	[[700,222,28]]	other	700	222	d ≤ 28	248.64	·	28	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-09
	[[700,216,28]]	other	700	216	d ≤ 28	241.92	·	28	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-09
★	[[674,84,44]]	generalized bicycle	674	84	d ≤ 44	241.282	·	14	·	1	6	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[514,32,62]]	generalized bicycle	514	32	d ≤ 62	239.315	·	12	·	1.03	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[700,212,28]]	check-deletion	700	212	d ≤ 28	237.44	·	28	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-08
★	[[390,54,41]]	generalized bicycle	390	54	d ≤ 41	232.754	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[700,206,28]]	generalized bicycle	700	206	d ≤ 28	230.72	·	28	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-01
★	[[514,34,59]]	generalized bicycle	514	34	d ≤ 59	230.261	·	12	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[430,56,42]]	generalized bicycle	430	56	d ≤ 42	229.73	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
	[[630,40,60]]known params	generalized bicycle	630	40	d ≤ 60	228.571	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
★	[[390,50,42]]	generalized bicycle	390	50	d ≤ 42	226.154	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-10-16
	[[630,48,54]]known params	generalized bicycle	630	48	d ≤ 54	222.171	·	26	·	1	4	·	@vprusso	Claude Opus 5	2026-09-27
	[[630,32,66]]known params	generalized bicycle	630	32	d ≤ 66	221.257	·	14	·	1.06	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,44,56]]known params	generalized bicycle	630	44	d ≤ 56	219.022	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,36,60]]known params	generalized bicycle	630	36	d ≤ 60	205.714	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,36,60]]known params	generalized bicycle	630	36	d ≤ 60	205.714	·	32	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
★	[[630,36,60]]known params	generalized bicycle	630	36	d ≤ 60	205.714	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
★	[[390,82,31]]	generalized bicycle	390	82	d ≤ 31	202.056	·	16	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-18
★	[[390,82,31]]	generalized bicycle	390	82	d ≤ 31	202.056	·	16	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-18
	[[390,82,30]]	generalized bicycle	390	82	d ≤ 30	189.231	·	16	·	1	4	·	@vprusso	Claude Fable 5	2026-07-15
	[[630,32,60]]known params	generalized bicycle	630	32	d ≤ 60	182.857	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,36,56]]known params	generalized bicycle	630	36	d ≤ 56	179.2	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[602,264,20]]	pair-partition CPM	602	264	d ≤ 20	175.415	·	14	·	1	6	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-12
	[[630,44,50]]known params	generalized bicycle	630	44	d ≤ 50	174.603	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[646,162,26]]	generalized bicycle	646	162	d ≤ 26	169.523	·	32	·	1	4	·	@diogoff	GPT-6 Luna	2026-09-29
	[[630,36,54]]known params	generalized bicycle	630	36	d ≤ 54	166.629	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
★	[[630,20,72]]known params	generalized bicycle	630	20	d ≤ 72	164.571	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-11
	[[630,28,60]]known params	generalized bicycle	630	28	d ≤ 60	160.0	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[302,120,20]]	generalized bicycle	302	120	d ≤ 20	158.94	·	30	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[620,20,70]]	2BGA coset	620	20	d ≤ 70	158.065	·	16	·	1.2	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-03
	[[560,28,56]]known params	generalized bicycle	560	28	d ≤ 56	156.8	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-04
	[[390,82,27]]	generalized bicycle	390	82	d ≤ 27	153.277	·	16	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-14
	[[630,32,54]]known params	generalized bicycle	630	32	d ≤ 54	148.114	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
★	[[682,82,35]]	generalized bicycle	682	82	d ≤ 35	147.287	·	12	·	1	6	·	@vaibhav-baj	Claude Fable 5.1 (Claude Code)	2026-10-07
★	[[574,252,18]]	pair-partition CPM	574	252	d ≤ 18	142.244	·	14	·	1	6	·	okada-kasai (reconstruction)		2026-08-05
★	[[342,42,34]]	generalized bicycle	342	42	d ≤ 34	141.965	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[630,20,66]]known params	generalized bicycle	630	20	d ≤ 66	138.286	·	22	·	1.06	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
	[[630,20,66]]known params	generalized bicycle	630	20	d ≤ 66	138.286	·	14	·	1.09	4	·	@vprusso	Claude Opus 5	2026-10-02
	[[630,20,66]]known params	generalized bicycle	630	20	d ≤ 66	138.286	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
★	[[492,170,20]]	pair-partition CPM	492	170	d ≤ 20	138.211	·	12	·	1	6	·	Okada et al.		2026
★	[[516,178,20]]	pair-partition CPM	516	178	d ≤ 20	137.984	·	12	·	1	6	·	Okada et al.		2026
	[[630,24,60]]known params	generalized bicycle	630	24	d ≤ 60	137.143	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[330,50,30]]	generalized bicycle	330	50	d ≤ 30	136.364	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[342,40,34]]	generalized bicycle	342	40	d ≤ 34	135.205	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[450,24,50]]known params	generalized bicycle	450	24	d ≤ 50	133.333	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
★	[[514,32,46]]	generalized bicycle	514	32	d ≤ 46	131.735	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-10-13
	[[490,20,56]]known params	generalized bicycle	490	20	d ≤ 56	128.0	·	28	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[490,20,56]]known params	generalized bicycle	490	20	d ≤ 56	128.0	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
	[[490,20,56]]known params	generalized bicycle	490	20	d ≤ 56	128.0	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
	[[490,20,56]]known params	generalized bicycle	490	20	d ≤ 56	128.0	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-11
	[[490,20,56]]known params	generalized bicycle	490	20	d ≤ 56	128.0	·	32	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[546,16,66]]known params	generalized bicycle	546	16	d ≤ 66	127.648	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[254,98,18]]	generalized bicycle	254	98	d ≤ 18	125.008	·	30	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[928,238,22]]	pair-partition CPM	928	238	d ≤ 22	124.129	·	8	·	1	8	·	@MicheldeMessieres	Claude Opus 5.5 (Claude Code)	2026-10-14
★	[[976,250,22]]	pair-partition CPM	976	250	d ≤ 22	123.975	·	8	·	1	8	·	@MicheldeMessieres	Claude Opus 5.5 (Claude Code)	2026-10-14
★	[[904,230,22]]	pair-partition CPM	904	230	d ≤ 22	123.142	·	8	·	1	8	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
	[[690,12,84]]known params	generalized bicycle	690	12	d ≤ 84	122.713	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[420,32,40]]known params	generalized bicycle	420	32	d ≤ 40	121.905	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-11
★	[[342,40,32]]	generalized bicycle	342	40	d ≤ 32	119.766	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[684,10,90]]	2BGA coset	684	10	d ≤ 90	118.421	·	12	·	1.13	4	·	@vprusso	Claude Opus 5	2026-08-09
★	[[390,68,26]]	generalized bicycle	390	68	d ≤ 26	117.867	·	13	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-15
★	[[518,228,16]]known params	pair-partition CPM	518	228	d ≤ 16	112.68	·	14	·	1	6	·	@willzeng et al.	human	2026-09-25
★	[[444,154,18]]known params	pair-partition CPM	444	154	d ≤ 18	112.378	·	12	·	1	6	·	Okada et al.		2026
	[[630,40,42]]known params	generalized bicycle	630	40	d ≤ 42	112.0	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[630,40,42]]known params	generalized bicycle	630	40	d ≤ 42	112.0	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-26
	[[560,20,56]]known params	generalized bicycle	560	20	d ≤ 56	112.0	·	14	·	1.14	4	·	@vprusso	Claude Opus 5	2026-10-04
★	[[564,194,18]]	pair-partition CPM	564	194	d ≤ 18	111.447	·	12	·	1.11	6	·	Magic State Labs		2026-08-12
★	[[256,110,16]]	other	256	110	d ≤ 16	110.0	·	16	·	1	6	·	@MathysRennela	GLM 5.3 Flash	2026-09-22
★	[[254,86,18]]	generalized bicycle	254	86	d ≤ 18	109.701	·	28	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[410,48,30]]	generalized bicycle	410	48	d ≤ 30	105.366	·	12	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[570,12,70]]known params	generalized bicycle	570	12	d ≤ 70	103.158	·	32	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[700,20,60]]known params	generalized bicycle	700	20	d ≤ 60	102.857	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-02
★	[[712,182,20]]	pair-partition CPM	712	182	d ≤ 20	102.247	·	8	·	1	8	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
★	[[776,198,20]]	pair-partition CPM	776	198	d ≤ 20	102.062	·	8	·	1	8	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[792,202,20]]	other	792	202	d ≤ 20	102.02	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[808,206,20]]	pair-partition CPM	808	206	d ≤ 20	101.98	·	8	·	1	8	·	@pandey-tushar	Claude Opus 5	2026-09-18
★	[[824,210,20]]	pair-partition CPM	824	210	d ≤ 20	101.942	·	8	·	1.2	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-26
★	[[840,214,20]]	other	840	214	d ≤ 20	101.905	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[856,218,20]]	other	856	218	d ≤ 20	101.869	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[872,222,20]]	pair-partition CPM	872	222	d ≤ 20	101.835	·	8	·	3.1	8	·	@nihoniumqc	GPT-6	2026-10-21
★	[[462,16,54]]known params	generalized bicycle	462	16	d ≤ 54	100.987	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[254,58,21]]	generalized bicycle	254	58	d ≤ 21	100.701	·	16	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-17
★	[[512,128,20]]	pair-partition CPM	512	128	d ≤ 20	100.0	·	10	·	1	4	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
★	[[254,44,24]]	generalized bicycle	254	44	d ≤ 24	99.78	·	16	·	1	4	·	@vprusso	Claude Fable 5	2026-07-14
★	[[254,126,14]]	generalized bicycle	254	126	d ≤ 14	97.228	·	30	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
	[[560,34,40]]known params	generalized bicycle	560	34	d ≤ 40	97.143	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[700,140,22]]known params	balanced product	700	140	d ≤ 22	96.8	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[434,40,32]]	generalized bicycle	434	40	d ≤ 32	94.378	·	10	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[378,42,29]]	generalized bicycle	378	42	d ≤ 29	93.444	·	16	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[700,26,50]]known params	generalized bicycle	700	26	d ≤ 50	92.857	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-10-02
	[[700,26,50]]known params	generalized bicycle	700	26	d ≤ 50	92.857	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-28
	[[700,26,50]]known params	generalized bicycle	700	26	d ≤ 50	92.857	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-27
	[[630,20,54]]known params	generalized bicycle	630	20	d ≤ 54	92.571	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
	[[462,24,42]]known params	generalized bicycle	462	24	d ≤ 42	91.636	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[560,32,40]]known params	generalized bicycle	560	32	d ≤ 40	91.429	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[420,24,40]]known params	generalized bicycle	420	24	d ≤ 40	91.429	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-10-12
★	[[350,20,40]]known params	generalized bicycle	350	20	d ≤ 40	91.429	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
	[[630,16,60]]known params	generalized bicycle	630	16	d ≤ 60	91.429	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[372,130,16]]known params	pair-partition CPM	372	130	d ≤ 16	89.462	·	12	·	1	6	·	Okada et al.		2026
★	[[254,70,18]]	generalized bicycle	254	70	d ≤ 18	89.291	·	18	·	1	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[602,267,14]]	other	602	267	d ≤ 14	86.93	·	14	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[574,254,14]]	other	574	254	d ≤ 14	86.732	·	14	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[558,12,63]]known params	generalized bicycle	558	12	d ≤ 63	85.355	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[510,12,60]]known params	generalized bicycle	510	12	d ≤ 60	84.706	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[254,84,16]]	generalized bicycle	254	84	d ≤ 16	84.661	·	26	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[568,146,18]]	pair-partition CPM	568	146	d ≤ 18	83.282	·	8	·	1	8	·	@nihoniumqc	GPT-6 (Codex)	2026-10-05
★	[[576,148,18]]known params	pair-partition CPM	576	148	d ≤ 18	83.25	·	8	·	1	8	·	@MathysRennela	Mimo-V2.6-Flash	2026-10-06
★	[[584,150,18]]	pair-partition CPM	584	150	d ≤ 18	83.219	·	8	·	1	8	·	Okada et al.		2026
★	[[302,32,28]]	generalized bicycle	302	32	d ≤ 28	83.073	·	12	·	1	4	·	@vprusso	Claude Opus 5	2026-10-15
★	[[632,162,18]]	pair-partition CPM	632	162	d ≤ 18	83.051	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-05
★	[[664,170,18]]	pair-partition CPM	664	170	d ≤ 18	82.952	·	8	·	1	8	·	@vprusso	Claude Opus 5	2026-09-05
★	[[682,32,42]]	generalized bicycle	682	32	d ≤ 42	82.768	·	8	·	1.33	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[872,222,18]]	other	872	222	d ≤ 18	82.486	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[888,226,18]]	other	888	226	d ≤ 18	82.459	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
	[[560,20,48]]known params	generalized bicycle	560	20	d ≤ 48	82.286	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-10-04
	[[630,10,72]]known params	generalized bicycle	630	10	d ≤ 72	82.286	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[254,72,17]]	generalized bicycle	254	72	d ≤ 17	81.921	·	16	·	1	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[448,112,18]]known params	pair-partition CPM	448	112	d ≤ 18	81.0	·	10	·	1	4	·	Okada et al.	MiMo-V2.6-Flash	2026-09-29
★	[[254,42,22]]	generalized bicycle	254	42	d ≤ 22	80.031	·	13	·	1	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[630,126,20]]	lifted product	630	126	d ≤ 20	80.0	·	9	·	1	4	·	Bhardwaj et al.		2026
★	[[625,125,20]]known params	balanced product	625	125	d ≤ 20	80.0	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[270,24,30]]known params	generalized bicycle	270	24	d ≤ 30	80.0	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
	[[546,10,66]]known params	generalized bicycle	546	10	d ≤ 66	79.78	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[378,44,26]]	generalized bicycle	378	44	d ≤ 26	78.688	·	14	·	2.19	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[630,28,42]]known params	generalized bicycle	630	28	d ≤ 42	78.4	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-25
★	[[462,10,60]]known params	generalized bicycle	462	10	d ≤ 60	77.922	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[254,44,21]]	generalized bicycle	254	44	d ≤ 21	76.394	·	12	·	1	4	·	@vprusso	Claude Fable 5	2026-07-14
★	[[378,16,42]]known params	generalized bicycle	378	16	d ≤ 42	74.667	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[560,26,40]]known params	generalized bicycle	560	26	d ≤ 40	74.286	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-10-04
★	[[546,28,38]]	generalized bicycle	546	28	d ≤ 38	74.051	·	9	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[390,32,30]]known params	lifted product	390	32	d ≤ 30	73.846	·	10	·	1	6	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
★	[[576,295,12]]	other	576	295	d ≤ 12	73.75	·	16	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[560,286,12]]known params	pair-partition CPM	560	286	d ≤ 12	73.543	·	16	·	1	4	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
	[[576,294,12]]known params	pair-partition CPM	576	294	d ≤ 12	73.5	·	16	·	1	6	·	Okada et al.		2026
	[[560,10,64]]known params	generalized bicycle	560	10	d ≤ 64	73.143	·	20	·	1.09	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[416,104,17]]known params	pair-partition CPM	416	104	d ≤ 17	72.25	·	10	·	1	4	·	Okada et al.	MiMo-V2.6-Flash	2026-09-29
★	[[672,336,12]]	generalized bicycle	672	336	d ≤ 12	72.0	·	12	·	1	6	·	Yang et al.		2026-08-07
★	[[276,98,14]]known params	pair-partition CPM	276	98	d ≤ 14	69.594	·	12	·	1	6	·	Okada et al.		2026
★	[[420,28,32]]	generalized bicycle	420	28	d ≤ 32	68.267	·	9	·	1.03	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[546,32,34]]	generalized bicycle	546	32	d ≤ 34	67.751	·	8	·	1.76	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[256,120,12]]	other	256	120	d ≤ 12	67.5	·	16	·	1	6	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[902,42,38]]	generalized bicycle	902	42	d ≤ 38	67.237	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[472,122,16]]known params	pair-partition CPM	472	122	d ≤ 16	66.169	·	8	·	1	8	·	Okada et al.		2026
★	[[488,126,16]]known params	pair-partition CPM	488	126	d ≤ 16	66.098	·	8	·	1	8	·	Lee, Jong Yeon		2026
★	[[210,24,24]]known params	generalized bicycle	210	24	d ≤ 24	65.829	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[620,52,28]]	generalized bicycle	620	52	d ≤ 28	65.755	·	12	·	3.36	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[330,24,30]]known params	generalized bicycle	330	24	d ≤ 30	65.455	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[672,14,56]]	other	672	14	d ≤ 56	65.333	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[600,8,70]]	bivariate bicycle	600	8	d ≤ 70	65.333	·	27	·	1	4	·	@mathysrennela	GPT-5.6 Luna	2026-08-18
★	[[550,110,18]]known params	balanced product	550	110	d ≤ 18	64.8	·	9	·	1	6	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[540,108,18]]	lifted product	540	108	d ≤ 18	64.8	·	9	·	1	4	·	Bhardwaj et al.		2026
★	[[525,105,18]]known params	balanced product	525	105	d ≤ 18	64.8	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[350,70,18]]	lifted product	350	70	d ≤ 18	64.8	·	15	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-10
★	[[352,88,16]]known params	pair-partition CPM	352	88	d ≤ 16	64.0	·	10	·	1	4	·	Okada et al.	MiMo-V2.6-Flash	2026-09-29
★	[[684,4,104]]	generalized bicycle	684	4	d ≤ 104	63.251	·	12	·	1.06	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
	[[630,44,30]]known params	generalized bicycle	630	44	d ≤ 30	62.857	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-27
	[[678,6,84]]known params	generalized bicycle	678	6	d ≤ 84	62.442	·	26	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[378,10,48]]known params	generalized bicycle	378	10	d ≤ 48	60.952	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[508,30,32]]	generalized bicycle	508	30	d ≤ 32	60.472	·	8	·	1.47	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[390,28,29]]	generalized bicycle	390	28	d ≤ 29	60.379	·	9	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[606,6,78]]known params	generalized bicycle	606	6	d ≤ 78	60.238	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[258,32,22]]	generalized bicycle	258	32	d ≤ 22	60.031	·	10	·	1	6	·	@willzeng	Claude Fable 5	2026-07-14
	[[684,14,54]]	generalized bicycle	684	14	d ≤ 54	59.684	·	8	·	1.33	4	·	@edoaltamura	GPT 5.6 Luna	2026-09-03
★	[[470,192,12]]known params	pair-partition CPM	470	192	d ≤ 12	58.826	·	10	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[530,216,12]]known params	pair-partition CPM	530	216	d ≤ 12	58.687	·	10	·	1	6	·	Okada et al.		2026
★	[[590,240,12]]known params	pair-partition CPM	590	240	d ≤ 12	58.576	·	10	·	1	6	·	Okada et al.		2026
★	[[582,6,75]]known params	generalized bicycle	582	6	d ≤ 75	57.99	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[504,18,40]]	generalized bicycle	504	18	d ≤ 40	57.143	·	8	·	1.45	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[546,34,30]]	generalized bicycle	546	34	d ≤ 30	56.044	·	9	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[730,28,38]]	generalized bicycle	730	28	d ≤ 38	55.386	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[630,34,32]]	generalized bicycle	630	34	d ≤ 32	55.263	·	8	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[504,24,34]]	generalized bicycle	504	24	d ≤ 34	55.048	·	8	·	1.35	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[672,16,48]]	other	672	16	d ≤ 48	54.857	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[378,16,36]]known params	generalized bicycle	378	16	d ≤ 36	54.857	·	30	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[546,6,70]]known params	generalized bicycle	546	6	d ≤ 70	53.846	·	28	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[254,28,22]]	generalized bicycle	254	28	d ≤ 22	53.354	·	10	·	1.18	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[680,360,10]]	lifted product	680	360	d ≤ 10	52.941	·	25	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[663,351,10]]	lifted product	663	351	d ≤ 10	52.941	·	25	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[372,34,24]]	generalized bicycle	372	34	d ≤ 24	52.645	·	10	·	2.17	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[684,6,77]]	generalized bicycle	684	6	d ≤ 77	52.009	·	8	·	1.04	4	·	@MathysRennela		2026-10-17
★	[[228,82,12]]known params	pair-partition CPM	228	82	d ≤ 12	51.789	·	12	·	1	6	·	Lee, Jong Yeon		2026
	[[350,20,30]]known params	generalized bicycle	350	20	d ≤ 30	51.429	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[576,296,10]]	other	576	296	d ≤ 10	51.389	·	16	·	1.2	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[510,6,66]]known params	generalized bicycle	510	6	d ≤ 66	51.247	·	22	·	1.05	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[500,100,16]]	lifted product	500	100	d ≤ 16	51.2	·	9	·	1	4	·	Bhardwaj et al.		2026
★	[[390,78,16]]known params	balanced product	390	78	d ≤ 16	51.2	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[300,60,16]]	lifted product	300	60	d ≤ 16	51.2	·	15	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-10
★	[[250,50,16]]	lifted product	250	50	d ≤ 16	51.2	·	15	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-10
	[[684,12,54]]	generalized bicycle	684	12	d ≤ 54	51.158	·	8	·	1.06	4	·	@edoaltamura	GPT-5 Codex	2026-08-31
★	[[392,102,14]]known params	pair-partition CPM	392	102	d ≤ 14	51.0	·	8	·	1	6	·	Okada et al.		2026
★	[[432,112,14]]known params	pair-partition CPM	432	112	d ≤ 14	50.815	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
	[[472,122,14]]known params	pair-partition CPM	472	122	d ≤ 14	50.661	·	8	·	1	6	·	Okada et al.		2026
	[[488,126,14]]known params	pair-partition CPM	488	126	d ≤ 14	50.607	·	8	·	1	6	·	Okada et al.		2026
★	[[696,352,10]]	other	696	352	d ≤ 10	50.575	·	12	·	1	6	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-09
★	[[630,26,35]]	generalized bicycle	630	26	d ≤ 35	50.556	·	8	·	2.63	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[512,132,14]]known params	pair-partition CPM	512	132	d ≤ 14	50.531	·	8	·	1	8	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
	[[568,146,14]]	pair-partition CPM	568	146	d ≤ 14	50.38	·	8	·	1	6	·	@MathysRennela	Tencent Hy3	2026-07-16
★	[[252,22,24]]	generalized bicycle	252	22	d ≤ 24	50.286	·	10	·	1.25	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[522,6,66]]known params	generalized bicycle	522	6	d ≤ 66	50.069	·	28	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[320,80,14]]known params	pair-partition CPM	320	80	d ≤ 14	49.0	·	10	·	1	4	·	Okada et al.	MiMo-V2.6-Flash	2026-09-29
★	[[400,12,40]]	generalized bicycle	400	12	d ≤ 40	48.0	·	12	·	1	4	·	@mathysrennela	Ox Alpha 1.0	2026-08-23
★	[[498,6,63]]known params	generalized bicycle	498	6	d ≤ 63	47.819	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[350,73,15]]known params	check-deletion	350	73	d ≤ 15	46.929	·	15	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
	[[256,120,10]]	other	256	120	d = 10	46.875	·	16	·	1	6	·	@MathysRennela	GLM 5.3 Flash	2026-09-22
★	[[510,38,25]]	generalized bicycle	510	38	d ≤ 25	46.569	·	8	·	1.04	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[378,26,26]]	bivariate bicycle	378	26	d ≤ 26	46.497	·	8	·	1.04	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[350,72,15]]known params	check-deletion	350	72	d ≤ 15	46.286	·	15	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[330,14,33]]known params	generalized bicycle	330	14	d ≤ 33	46.2	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[612,36,28]]	distance-amplified	612	36	d ≤ 28	46.118	·	11	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[210,24,20]]	generalized bicycle	210	24	d ≤ 20	45.714	·	10	·	1	4	·	@willzeng	Claude Fable 5	2026-07-14
	[[350,71,15]]known params	check-deletion	350	71	d ≤ 15	45.643	·	15	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[684,12,51]]	2BGA coset	684	12	d ≤ 51	45.632	·	8	·	1.06	6	·	@edoaltamura	GPT-5.6 Luna	2026-08-30
★	[[408,18,32]]	generalized bicycle	408	18	d ≤ 32	45.176	·	8	·	1.16	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[630,36,28]]	other	630	36	d ≤ 28	44.8	·	11	·	1	4	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[392,22,28]]	bivariate bicycle	392	22	d ≤ 28	44.0	·	8	·	1.14	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[390,14,35]]known params	generalized bicycle	390	14	d ≤ 35	43.974	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[360,8,44]]	bivariate bicycle	360	8	d ≤ 44	43.022	·	29	·	1.02	4	·	@mathysrennela	GPT-5.6 Luna	2026-08-18
	[[666,6,69]]known params	generalized bicycle	666	6	d ≤ 69	42.892	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[682,20,38]]	generalized bicycle	682	20	d ≤ 38	42.346	·	7	·	1.37	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[768,192,13]]	pair-partition CPM	768	192	d ≤ 13	42.25	·	8	·	1	4	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
	[[462,6,57]]known params	generalized bicycle	462	6	d ≤ 57	42.195	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[384,18,30]]	bivariate bicycle	384	18	d ≤ 30	42.188	·	8	·	1.07	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[672,4,84]]known params	generalized bicycle	672	4	d ≤ 84	42.0	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[620,14,43]]	other	620	14	d ≤ 43	41.752	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[620,4,80]]known params	generalized bicycle	620	4	d ≤ 80	41.29	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[336,24,24]]known params	lifted product	336	24	d ≤ 24	41.143	·	8	·	1	6	·	@mathysrennela	human	2026-08-28
★	[[378,18,29]]	bivariate bicycle	378	18	d ≤ 29	40.048	·	8	·	1.17	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[960,24,40]]	2BGA coset	960	24	d ≤ 40	40.0	·	6	·	1	8	·	@MicheldeMessieres	Claude Opus 5.5 (Claude Code)	2026-10-12
	[[640,16,40]]	lifted product	640	16	d ≤ 40	40.0	·	10	·	1.2	4	·	@mathysrennela	mimo-v2.5	2026-09-15
★	[[292,22,23]]known params	generalized bicycle	292	22	d ≤ 23	39.856	·	8	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[434,30,24]]	generalized bicycle	434	30	d ≤ 24	39.816	·	9	·	2.58	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[510,14,38]]known params	generalized bicycle	510	14	d ≤ 38	39.639	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[198,24,18]]known params	generalized bicycle	198	24	d ≤ 18	39.273	·	26	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[350,70,14]]	lifted product	350	70	d ≤ 14	39.2	·	9	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-10
★	[[320,64,14]]known params	balanced product	320	64	d ≤ 14	39.2	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[300,60,14]]	lifted product	300	60	d ≤ 14	39.2	·	9	·	1	4	·	Bhardwaj et al.		2026
★	[[200,40,14]]	lifted product	200	40	d ≤ 14	39.2	·	15	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-10
★	[[360,18,28]]	bivariate bicycle	360	18	d ≤ 28	39.2	·	8	·	1.07	6	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[628,24,32]]	distance-amplified	628	24	d ≤ 32	39.134	·	17	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[574,56,20]]	other	574	56	d ≤ 20	39.024	·	11	·	1	4	·	@mrvee-qC-bee	GPT-6 Astra	2026-10-01
★	[[234,28,18]]known params	lifted product	234	28	d ≤ 18	38.769	·	10	·	1	6	·	Dongheng Qian et al.	GPT-5.6 Luna	2026-08-10
★	[[232,62,12]]known params	pair-partition CPM	232	62	d ≤ 12	38.483	·	8	·	1	6	·	Maskara, Nishad		2026
★	[[248,66,12]]known params	pair-partition CPM	248	66	d ≤ 12	38.323	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[372,44,18]]known params	lifted product	372	44	d ≤ 18	38.323	·	10	·	1	4	·	@mathysrennela	human	2026-08-28
★	[[256,68,12]]known params	pair-partition CPM	256	68	d ≤ 12	38.25	·	8	·	1	6	·	@MathysRennela	Mimo-V2.6-Flash	2026-10-06
★	[[264,70,12]]known params	pair-partition CPM	264	70	d ≤ 12	38.182	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[280,74,12]]known params	pair-partition CPM	280	74	d ≤ 12	38.057	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[288,76,12]]known params	pair-partition CPM	288	76	d ≤ 12	38.0	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[296,78,12]]known params	pair-partition CPM	296	78	d ≤ 12	37.946	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
	[[684,20,36]]	other	684	20	d ≤ 36	37.895	·	8	·	1	4	·	@EthanFeld	GPT-5.6 Luna	2026-09-11
★	[[228,86,10]]known params	check-deletion	228	86	d ≤ 10	37.719	·	12	·	1	6	·	@vprusso	Claude Opus 5	2026-09-22
★	[[336,88,12]]known params	pair-partition CPM	336	88	d ≤ 12	37.714	·	8	·	1	6	·	@MathysRennela et al.	Mimo-V2.6-Flash	2026-09-29
★	[[276,104,10]]known params	check-deletion	276	104	d ≤ 10	37.681	·	12	·	1	6	·	@vprusso	Claude Opus 5	2026-09-22
★	[[762,28,32]]	generalized bicycle	762	28	d ≤ 32	37.627	·	7	·	1.22	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[360,20,26]]	bivariate bicycle	360	20	d ≤ 26	37.556	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[256,150,8]]	other	256	150	d = 8	37.5	·	16	·	1	6	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
	[[384,16,30]]	bivariate bicycle	384	16	d ≤ 30	37.5	·	8	·	1.17	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[540,12,41]]	other	540	12	d ≤ 41	37.356	·	8	·	1.07	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[276,103,10]]known params	check-deletion	276	103	d ≤ 10	37.319	·	12	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[402,6,50]]known params	generalized bicycle	402	6	d ≤ 50	37.313	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[228,85,10]]known params	check-deletion	228	85	d ≤ 10	37.281	·	12	·	1.1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[254,14,26]]	generalized bicycle	254	14	d ≤ 26	37.26	·	10	·	1.31	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[658,380,8]]	pair-partition CPM	658	380	d ≤ 8	36.96	·	14	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-01
	[[276,102,10]]known params	check-deletion	276	102	d ≤ 10	36.957	·	12	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[170,32,14]]known params	lifted product	170	32	d ≤ 14	36.894	·	10	·	1	4	·	@mathysrennela	human	2026-08-28
★	[[340,16,28]]	bivariate bicycle	340	16	d ≤ 28	36.894	·	8	·	1.07	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[630,48,22]]	other	630	48	d ≤ 22	36.876	·	10	·	1	6	·	@MathysRennela	Beam 1.0	2026-10-18
	[[228,84,10]]	other	228	84	d ≤ 10	36.842	·	12	·	1.2	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[384,18,28]]	lifted product	384	18	d ≤ 28	36.75	·	9	·	1	4	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
	[[756,24,34]]	generalized bicycle	756	24	d ≤ 34	36.698	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
	[[276,101,10]]	other	276	101	d ≤ 10	36.594	·	12	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[360,18,27]]	bivariate bicycle	360	18	d ≤ 27	36.45	·	8	·	1.15	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[604,4,74]]known params	generalized bicycle	604	4	d ≤ 74	36.265	·	18	·	1.16	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[136,34,12]]known params	other	136	34	d ≤ 12	36.0	·	12	·	1	4	·	@mathysrennela	Ox Alpha 1.0	2026-08-24
★	[[288,32,18]]	generalized bicycle	288	32	d ≤ 18	36.0	·	9	·	1	6	·	@MathysRennela	Beam 1.0	2026-10-21
★	[[294,24,21]]known params	generalized bicycle	294	24	d ≤ 21	36.0	·	9	·	1	4	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[392,18,28]]	bivariate bicycle	392	18	d ≤ 28	36.0	·	8	·	1.43	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[340,18,26]]	bivariate bicycle	340	18	d ≤ 26	35.788	·	8	·	1.08	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[684,12,45]]	generalized bicycle	684	12	d ≤ 45	35.526	·	8	·	1	4	·	@edoaltamura	GPT 5.6 Luna	2026-09-02
	[[292,18,24]]	generalized bicycle	292	18	d ≤ 24	35.507	·	10	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[390,6,48]]known params	generalized bicycle	390	6	d ≤ 48	35.446	·	22	·	1.04	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[534,24,28]]	other	534	24	d ≤ 28	35.236	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[252,20,21]]known params	generalized bicycle	252	20	d ≤ 21	35.0	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[510,278,8]]	lifted product	510	278	d ≤ 8	34.886	·	20	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
	[[360,16,28]]	bivariate bicycle	360	16	d ≤ 28	34.844	·	8	·	1.07	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[186,20,18]]known params	generalized bicycle	186	20	d ≤ 18	34.839	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[378,18,27]]	lifted product	378	18	d ≤ 27	34.714	·	8	·	1.04	4	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
★	[[646,350,8]]	lifted product	646	350	d ≤ 8	34.675	·	20	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[392,28,22]]	bivariate bicycle	392	28	d ≤ 22	34.571	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[300,18,24]]	bivariate bicycle	300	18	d ≤ 24	34.56	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[558,12,40]]	other	558	12	d ≤ 40	34.409	·	8	·	1.05	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[294,28,19]]known params	2bga-nonabelian	294	28	d ≤ 19	34.381	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[210,28,16]]known params	generalized bicycle	210	28	d ≤ 16	34.133	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[558,4,69]]known params	generalized bicycle	558	4	d ≤ 69	34.129	·	19	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
	[[684,8,54]]	other	684	8	d ≤ 54	34.105	·	8	·	1.17	4	·	@MathysRennela	Tencent Hy3	2026-07-18
★	[[288,8,35]]	bivariate bicycle	288	8	d ≤ 35	34.028	·	27	·	1	4	·	@mathysrennela	GPT-5.6 Luna	2026-08-18
★	[[442,234,8]]	lifted product	442	234	d ≤ 8	33.882	·	23	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[408,216,8]]	lifted product	408	216	d ≤ 8	33.882	·	23	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[682,2,107]]known params	generalized bicycle	682	2	d ≤ 107	33.575	·	14	·	1.01	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[252,26,18]]known params	2bga-nonabelian	252	26	d ≤ 18	33.429	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[336,28,20]]known params	lifted product	336	28	d ≤ 20	33.333	·	8	·	1	6	·	@mathysrennela	human	2026-08-28
★	[[234,24,18]]known params	generalized bicycle	234	24	d ≤ 18	33.231	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[510,4,65]]known params	generalized bicycle	510	4	d ≤ 65	33.137	·	19	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[510,20,29]]	generalized bicycle	510	20	d ≤ 29	32.98	·	7	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[132,30,12]]	generalized bicycle	132	30	d ≤ 12	32.727	·	12	·	1	4	·	Yang et al.		2026-08-07
	[[490,40,20]]	distance-amplified	490	40	d ≤ 20	32.653	·	10	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[294,24,20]]known params	generalized bicycle	294	24	d ≤ 20	32.653	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[468,238,8]]	other	468	238	d ≤ 8	32.547	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[504,256,8]]	other	504	256	d ≤ 8	32.508	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[252,32,16]]known params	generalized bicycle	252	32	d ≤ 16	32.508	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[256,130,8]]known params	other	256	130	d = 8	32.5	·	16	·	1	6	·	@MathysRennela	GLM 5.3 Flash	2026-09-22
★	[[540,274,8]]	other	540	274	d ≤ 8	32.474	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[564,286,8]]	pair-partition CPM	564	286	d ≤ 8	32.454	·	12	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-01
★	[[576,292,8]]known params	other	576	292	d ≤ 8	32.444	·	12	·	1	6	·	@mathysrennela	Deepseek V4 Flash 0731	2026-08-05
★	[[612,310,8]]	other	612	310	d ≤ 8	32.418	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[254,42,14]]	generalized bicycle	254	42	d ≤ 14	32.409	·	10	·	1	4	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-22
★	[[648,328,8]]	other	648	328	d ≤ 8	32.395	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[684,346,8]]	other	684	346	d ≤ 8	32.374	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[192,43,12]]	other	192	43	d ≤ 12	32.25	·	12	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-09
★	[[336,16,26]]	bivariate bicycle	336	16	d ≤ 26	32.19	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[378,6,45]]known params	generalized bicycle	378	6	d ≤ 45	32.143	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[662,2,103]]known params	generalized bicycle	662	2	d ≤ 103	32.051	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[640,20,32]]	other	640	20	d ≤ 32	32.0	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[288,16,24]]	bivariate bicycle	288	16	d ≤ 24	32.0	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[288,16,24]]	generalized bicycle	288	16	d ≤ 24	32.0	·	12	·	1	4	·	@mathysrennela	Ox Alpha 1.0	2026-08-23
★	[[372,14,29]]	other	372	14	d ≤ 29	31.651	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[178,22,16]]known params	generalized bicycle	178	22	d ≤ 16	31.64	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,22,19]]known params	generalized bicycle	252	22	d ≤ 19	31.516	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[288,28,18]]known params	generalized bicycle	288	28	d ≤ 18	31.5	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[510,40,20]]	other	510	40	d ≤ 20	31.373	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[248,24,18]]known params	generalized bicycle	248	24	d ≤ 18	31.355	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[294,36,16]]known params	generalized bicycle	294	36	d ≤ 16	31.347	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[294,16,24]]	bivariate bicycle	294	16	d ≤ 24	31.347	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[354,6,43]]known params	generalized bicycle	354	6	d ≤ 43	31.339	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[524,4,64]]known params	generalized bicycle	524	4	d ≤ 64	31.267	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[248,16,22]]known params	generalized bicycle	248	16	d ≤ 22	31.226	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[204,22,17]]	bivariate bicycle	204	22	d ≤ 17	31.167	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[646,2,100]]known params	generalized bicycle	646	2	d ≤ 100	30.96	·	14	·	1.01	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[228,87,9]]known params	check-deletion	228	87	d ≤ 9	30.908	·	12	·	1.11	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[468,36,20]]known params	lifted product	468	36	d ≤ 20	30.769	·	10	·	1	4	·	@vprusso and @MathysRennela	Space Bunny Alpha 1.0 +1	2026-10-07
★	[[630,40,22]]	other	630	40	d ≤ 22	30.73	·	9	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[200,24,16]]known params	generalized bicycle	200	24	d ≤ 16	30.72	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[306,26,19]]known params	generalized bicycle	306	26	d ≤ 19	30.673	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[128,20,14]]	generalized bicycle	128	20	d ≤ 14	30.625	·	16	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-08-15
★	[[378,32,19]]	lifted product	378	32	d ≤ 19	30.561	·	8	·	1.05	4	·	@mathysrennela	Space Bunny Alpha 1.0	2026-10-12
	[[228,86,9]]known params	check-deletion	228	86	d ≤ 9	30.553	·	12	·	1.11	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[310,14,26]]	generalized bicycle	310	14	d ≤ 26	30.529	·	10	·	1.08	4	·	@vprusso	Claude Opus 4.8	2026-07-24
	[[302,36,16]]	distance-amplified	302	36	d = 16	30.517	·	9	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[672,20,32]]	2BGA coset	672	20	d ≤ 32	30.476	·	6	·	1	8	·	@vprusso	Claude Opus 5	2026-09-08
★	[[288,18,22]]	bivariate bicycle	288	18	d ≤ 22	30.25	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[228,85,9]]known params	check-deletion	228	85	d ≤ 9	30.197	·	12	·	1.11	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[240,20,19]]	bivariate bicycle	240	20	d ≤ 19	30.083	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[630,28,26]]	generalized bicycle	630	28	d ≤ 26	30.044	·	7	·	1.12	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[192,40,12]]	other	192	40	d ≤ 12	30.0	·	12	·	1	4	·	@mathysrennela	Ox Alpha 1.0	2026-08-24
★	[[180,24,15]]known params	generalized bicycle	180	24	d ≤ 15	30.0	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[240,18,20]]known params	generalized bicycle	240	18	d ≤ 20	30.0	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[480,4,60]]known params	generalized bicycle	480	4	d ≤ 60	30.0	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[240,28,16]]known params	generalized bicycle	240	28	d ≤ 16	29.867	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[240,22,18]]	bivariate bicycle	240	22	d ≤ 18	29.7	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[160,24,14]]known params	bivariate bicycle	160	24	d ≤ 14	29.4	·	9	·	1	4	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[488,44,18]]	other	488	44	d ≤ 18	29.213	·	9	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
	[[420,18,26]]	other	420	18	d ≤ 26	28.971	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[240,24,17]]known params	generalized bicycle	240	24	d ≤ 17	28.9	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[200,16,19]]known params	generalized bicycle	200	16	d ≤ 19	28.88	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[330,66,12]]	lifted product2D-local bilayer	330	66	d ≤ 12	28.8	0.012	9	1975	1	4	12	Bhardwaj et al.	MiMo-V2.6-Flash	2026-09-25
	[[240,48,12]]known params	balanced product	240	48	d ≤ 12	28.8	·	9	·	1	6	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[210,42,12]]known params	balanced product	210	42	d ≤ 12	28.8	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[200,40,12]]	lifted product	200	40	d = 12	28.8	·	9	·	1	4	·	Bhardwaj et al.		2026
	[[320,36,16]]	other	320	36	d = 16	28.8	·	9	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[720,16,36]]	2BGA coset	720	16	d ≤ 36	28.8	·	6	·	1	6	·	@MicheldeMessieres	Claude Opus 5.5 (Claude Code)	2026-10-09
	[[320,16,24]]	bivariate bicycle	320	16	d ≤ 24	28.8	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[204,18,18]]	bivariate bicycle	204	18	d ≤ 18	28.588	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[252,18,20]]known params	generalized bicycle	252	18	d ≤ 20	28.571	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[618,44,20]]	other	618	44	d ≤ 20	28.479	·	9	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
	[[612,4,66]]known params	generalized bicycle	612	4	d ≤ 66	28.471	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[576,16,32]]	2BGA coset	576	16	d ≤ 32	28.444	·	8	·	1.12	6	·	@vprusso	Claude Fable 5.1	2026-09-20
★	[[508,14,32]]	generalized bicycle	508	14	d ≤ 32	28.22	·	7	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[288,36,15]]known params	generalized bicycle	288	36	d ≤ 15	28.125	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[576,28,24]]known params	quantum Tanner	576	28	d ≤ 24	28.0	·	9	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-08-21
★	[[126,18,14]]	generalized bicycle	126	18	d ≤ 14	28.0	·	10	·	1	4	·	@willzeng	Claude Fable 5	2026-07-14
★	[[344,6,40]]known params	generalized bicycle	344	6	d ≤ 40	27.907	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[146,18,15]]known params	generalized bicycle	146	18	d ≤ 15	27.74	·	9	·	1	4	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[598,2,91]]known params	generalized bicycle	598	2	d ≤ 91	27.696	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[294,12,26]]	generalized bicycle	294	12	d ≤ 26	27.592	·	10	·	1.46	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[186,20,16]]	bivariate bicycle	186	20	d ≤ 16	27.527	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[396,10,33]]	generalized bicycle	396	10	d ≤ 33	27.5	·	12	·	1	4	·	@mathysrennela	Ox Alpha 1.0	2026-08-23
★	[[224,24,16]]	bivariate bicycle	224	24	d ≤ 16	27.429	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[310,16,23]]	2BGA coset	310	16	d ≤ 23	27.303	·	9	·	1	4	·	@vprusso	Claude Opus 4.8	2026-08-02
★	[[124,20,13]]	generalized bicycle	124	20	d ≤ 13	27.258	·	13	·	1	4	·	@hirobumii		2026-10-17
★	[[428,4,54]]known params	generalized bicycle	428	4	d ≤ 54	27.252	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[318,6,38]]known params	generalized bicycle	318	6	d ≤ 38	27.245	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[170,16,17]]known params	generalized bicycle	170	16	d ≤ 17	27.2	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[184,50,10]]known params	pair-partition CPM2D-local bilayer	184	50	d = 10	27.174	0.0113	8	1122	1	6	9	Lee, Jong Yeon		2026
★	[[170,18,16]]known params	generalized bicycle	170	18	d ≤ 16	27.106	·	8	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[150,24,13]]known params	bivariate bicycle	150	24	d ≤ 13	27.04	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[288,24,18]]known params	lifted product	288	24	d ≤ 18	27.0	·	8	·	1	6	·	@mathysrennela	human	2026-08-28
	[[240,20,18]]	bivariate bicycle	240	20	d ≤ 18	27.0	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[436,4,54]]known params	generalized bicycle	436	4	d ≤ 54	26.752	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[342,6,39]]known params	generalized bicycle	342	6	d ≤ 39	26.684	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[360,24,20]]known params	2BGA coset	360	24	d ≤ 20	26.667	·	7	·	1	6	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[192,20,16]]known params	bivariate bicycle2D-local bilayer	192	20	d ≤ 16	26.667	0.0111	8	1333	1	6	9.54	@MathysRennela	Mimo V2.5	2026-09-15
	[[240,16,20]]	2BGA coset	240	16	d ≤ 20	26.667	·	8	·	1	6	·	Aydin et al.		2026-07-14
★	[[210,14,20]]	bivariate bicycle	210	14	d ≤ 20	26.667	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[136,36,10]]known params	check-deletion	136	36	d ≤ 10	26.471	·	12	·	1.2	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[204,24,15]]known params	generalized bicycle	204	24	d ≤ 15	26.471	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[378,16,25]]	bivariate bicycle	378	16	d ≤ 25	26.455	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[390,10,32]]	other	390	10	d ≤ 32	26.256	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
	[[336,20,21]]	2BGA coset	336	20	d ≤ 21	26.25	·	8	·	1	6	·	@willzeng	Claude Fable 5	2026-07-14
★	[[610,40,20]]	distance-amplified	610	40	d ≤ 20	26.23	·	9	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[310,12,26]]	generalized bicycle	310	12	d ≤ 26	26.168	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[442,234,7]]	lifted product	442	234	d ≤ 7	25.941	·	19	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
	[[136,35,10]]known params	check-deletion	136	35	d ≤ 10	25.735	·	12	·	1.2	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[160,16,16]]known params	generalized bicycle	160	16	d ≤ 16	25.6	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,16,20]]known params	generalized bicycle	252	16	d ≤ 20	25.397	·	7	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[372,12,28]]	other	372	12	d ≤ 28	25.29	·	8	·	1.07	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
	[[224,22,16]]known params	lifted product	224	22	d ≤ 16	25.143	·	8	·	1	6	·	@mathysrennela	human	2026-08-28
★	[[930,18,36]]	generalized bicycle	930	18	d ≤ 36	25.084	·	6	·	1.11	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[336,26,18]]	generalized bicycle	336	26	d ≤ 18	25.071	·	8	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-14
★	[[180,20,15]]known params	generalized bicycle	180	20	d ≤ 15	25.0	·	8	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[288,18,20]]	bivariate bicycle	288	18	d ≤ 20	25.0	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[300,12,25]]	other	300	12	d ≤ 25	25.0	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[504,16,28]]	generalized bicycle	504	16	d ≤ 28	24.889	·	7	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[126,16,14]]known params	generalized bicycle	126	16	d ≤ 14	24.889	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[186,16,17]]	bivariate bicycle	186	16	d ≤ 17	24.86	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[426,6,42]]known params	generalized bicycle	426	6	d ≤ 42	24.845	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[234,12,22]]	generalized bicycle	234	12	d ≤ 22	24.821	·	10	·	1.36	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[672,340,7]]	other	672	340	d ≤ 7	24.792	·	12	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[280,12,24]]	generalized bicycle	280	12	d ≤ 24	24.686	·	9	·	1.58	4	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[270,34,14]]known params	generalized bicycle	270	34	d ≤ 14	24.681	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[660,18,30]]	generalized bicycle	660	18	d ≤ 30	24.545	·	8	·	1.5	4	·	@edoaltamura	GPT-5	2026-08-28
★	[[294,18,20]]known params	generalized bicycle	294	18	d ≤ 20	24.49	·	7	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[196,12,20]]known params	2bga-nonabelian	196	12	d ≤ 20	24.49	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[186,14,18]]	bivariate bicycle	186	14	d ≤ 18	24.387	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[168,16,16]]known params	generalized bicycle	168	16	d ≤ 16	24.381	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[254,14,21]]known params	generalized bicycle	254	14	d ≤ 21	24.307	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[210,26,14]]	generalized bicycle2D-local bilayer	210	26	d ≤ 14	24.267	0.0101	8	1443	1	6	10.5	@seunomonije	Claude Fable 5	2026-07-17
	[[500,4,55]]known params	generalized bicycle	500	4	d ≤ 55	24.2	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[146,18,14]]known params	generalized bicycle	146	18	d ≤ 14	24.164	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[126,18,13]]known params	generalized bicycle	126	18	d ≤ 13	24.143	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[406,8,35]]	other	406	8	d ≤ 35	24.138	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
	[[672,18,30]]	generalized bicycle	672	18	d ≤ 30	24.107	·	8	·	1.13	4	·	@vprusso	Claude Opus 4.8	2026-07-24
	[[416,4,50]]known params	generalized bicycle	416	4	d ≤ 50	24.038	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[300,32,15]]known params	2bga-nonabelian	300	32	d ≤ 15	24.0	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[144,24,12]]known params	generalized bicycle	144	24	d ≤ 12	24.0	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[600,16,30]]	generalized bicycle	600	16	d ≤ 30	24.0	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[294,16,21]]	bivariate bicycle	294	16	d ≤ 21	24.0	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[96,16,12]]⚙10	bivariate bicycle	96	16	d ≤ 12	24.0	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[288,12,24]]	bivariate bicycle	288	12	d ≤ 24	24.0	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[128,12,16]]	generalized bicycle	128	12	d ≤ 16	24.0	·	16	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[180,22,14]]known params	2bga-nonabelian	180	22	d ≤ 14	23.956	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[336,20,20]]	generalized bicycle	336	20	d ≤ 20	23.81	·	8	·	1	4	·	@FarLab	Claude Fable 5	2026-07-08
	[[192,14,18]]	bivariate bicycle	192	14	d ≤ 18	23.625	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[196,16,17]]known params	2bga-nonabelian	196	16	d ≤ 17	23.592	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[360,16,23]]	bivariate bicycle	360	16	d ≤ 23	23.511	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[168,20,14]]	2BGA coset2D-local bilayer	168	20	d ≤ 14	23.333	0.0097	8	1144	1	6	8.54	Aydin et al.		2026-06-15
★	[[186,12,19]]known params	generalized bicycle	186	12	d ≤ 19	23.29	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[336,24,18]]	generalized bicycle	336	24	d ≤ 18	23.143	·	8	·	1	4	·	@seunomonije	Claude Fable 5	2026-07-14
★	[[378,12,27]]	other	378	12	d ≤ 27	23.143	·	7	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
★	[[168,12,18]]known params	generalized bicycle	168	12	d ≤ 18	23.143	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[200,16,17]]known params	other	200	16	d ≤ 17	23.12	·	11	·	1	4	·	@vprusso	human	2026-10-07
★	[[126,24,11]]known params	generalized bicycle	126	24	d ≤ 11	23.048	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,12,22]]known params	2bga-nonabelian	252	12	d ≤ 22	23.048	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[434,16,25]]	generalized bicycle	434	16	d ≤ 25	23.041	·	7	·	2.04	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[268,24,16]]	distance-amplified	268	24	d = 16	22.925	·	9	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[112,40,8]]known params	other	112	40	d = 8	22.857	·	32	·	1	4	·	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
★	[[178,24,13]]known params	generalized bicycle	178	24	d = 13	22.787	·	8	·	1	6	·	@mathysrennela	Ox Alpha 1.0	2026-08-23
★	[[340,16,22]]	other	340	16	d ≤ 22	22.776	·	7	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
★	[[526,2,77]]known params	generalized bicycle	526	2	d ≤ 77	22.544	·	18	·	1.03	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[270,36,13]]known params	generalized bicycle	270	36	d ≤ 13	22.533	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[120,16,13]]known params	generalized bicycle	120	16	d ≤ 13	22.533	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[364,8,32]]	other	364	8	d ≤ 32	22.505	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[180,14,17]]	bivariate bicycle	180	14	d ≤ 17	22.478	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[432,20,22]]known params	quantum Tanner	432	20	d ≤ 22	22.407	·	9	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-08-21
★	[[160,14,16]]known params	generalized bicycle	160	14	d ≤ 16	22.4	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[378,4,46]]known params	generalized bicycle	378	4	d ≤ 46	22.392	·	15	·	1.02	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[650,2,85]]known params	generalized bicycle	650	2	d ≤ 85	22.231	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[392,18,22]]	bivariate bicycle	392	18	d ≤ 22	22.224	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[392,8,33]]	other	392	8	d ≤ 33	22.224	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[576,32,20]]	generalized bicycle	576	32	d ≤ 20	22.222	·	6	·	1	8	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-16
★	[[360,20,20]]known params	2BGA coset	360	20	d ≤ 20	22.222	·	6	·	1	8	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[624,384,6]]	lifted product	624	384	d ≤ 6	22.154	·	18	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[572,352,6]]	lifted product	572	352	d ≤ 6	22.154	·	18	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[494,304,6]]	lifted product	494	304	d ≤ 6	22.154	·	18	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[438,22,21]]	generalized bicycle	438	22	d ≤ 21	22.151	·	7	·	2	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[196,12,19]]known params	generalized bicycle	196	12	d ≤ 19	22.102	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[330,10,27]]	other	330	10	d ≤ 27	22.091	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
	[[384,16,23]]	other	384	16	d ≤ 23	22.042	·	7	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[288,12,23]]	bivariate bicycle	288	12	d ≤ 23	22.042	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[136,37,9]]known params	check-deletion	136	37	d = 9	22.037	·	12	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[630,12,34]]	generalized bicycle	630	12	d ≤ 34	22.019	·	6	·	1	6	·	@dorakingx	Claude Fable 5.1 (Claude Code)	2026-09-05
★	[[308,10,26]]	other	308	10	d ≤ 26	21.948	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
	[[280,24,16]]	other	280	24	d = 16	21.943	·	9	·	1	4	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[372,12,26]]	other	372	12	d ≤ 26	21.806	·	7	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-25
	[[180,20,14]]	2BGA coset2D-local bilayer	180	20	d ≤ 14	21.778	0.0095	8	1232	1	4	9.17	@FarLab	Claude Opus 4.8	2026-06-22
	[[360,10,28]]	generalized bicycle	360	10	d ≤ 28	21.778	·	8	·	1.07	4	·	@shiy1022	Claude Opus 5	2026-09-06
★	[[512,174,8]]	other	512	174	d ≤ 8	21.75	·	8	·	1	8	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[372,14,24]]	other2D-local bilayer	372	14	d ≤ 24	21.677	0.009	7	2344	1	6	8.19	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
	[[312,10,26]]	bivariate bicycle	312	10	d ≤ 26	21.667	·	26	·	1	4	·	@mathysrennela	GPT-5.6 Luna	2026-08-18
★	[[256,154,6]]	other	256	154	d = 6	21.656	·	16	·	1	6	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[592,2,80]]known params	generalized bicycle	592	2	d ≤ 80	21.622	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[120,18,12]]known params	bivariate bicycle	120	18	d ≤ 12	21.6	·	8	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[240,16,18]]known params	2bga-nonabelian	240	16	d ≤ 18	21.6	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[180,12,18]]known params	2bga-nonabelian	180	12	d ≤ 18	21.6	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[186,10,20]]	bivariate bicycle	186	10	d ≤ 20	21.505	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[504,16,26]]	generalized bicycle	504	16	d ≤ 26	21.46	·	6	·	1.08	8	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[136,36,9]]known params	check-deletion	136	36	d ≤ 9	21.441	·	12	·	1.33	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[168,16,15]]	2BGA coset	168	16	d ≤ 15	21.429	·	8	·	1	4	·	Aydin et al.		2026-06-15
	[[420,10,30]]	2BGA coset	420	10	d ≤ 30	21.429	·	8	·	1.07	4	·	@vprusso	Claude Opus 4.8	2026-08-02
★	[[162,12,17]]known params	generalized bicycle	162	12	d ≤ 17	21.407	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[336,28,16]]	generalized bicycle	336	28	d ≤ 16	21.333	·	8	·	1.25	4	·	@seunomonije	Claude Fable 5	2026-07-20
	[[108,16,12]]⚙12	bivariate bicycle	108	16	d ≤ 12	21.333	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[144,12,16]]known params	generalized bicycle	144	12	d ≤ 16	21.333	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[270,10,24]]	other	270	10	d ≤ 24	21.333	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[510,16,26]]	generalized bicycle2D-local bilayer	510	16	d ≤ 26	21.208	0.0092	6	3135	1	6	17.1	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[518,2,74]]known params	generalized bicycle	518	2	d ≤ 74	21.143	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[512,12,30]]	2BGA coset	512	12	d ≤ 30	21.094	·	8	·	1.07	4	·	@vprusso	Claude Fable 5.1	2026-09-20
★	[[506,2,73]]known params	generalized bicycle	506	2	d ≤ 73	21.063	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[414,136,8]]	other	414	136	d ≤ 8	21.024	·	9	·	1	6	·	@nihoniumqc	GPT-6	2026-10-03
★	[[210,10,21]]	bivariate bicycle	210	10	d ≤ 21	21.0	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[294,24,16]]known params	2bga-nonabelian	294	24	d ≤ 16	20.898	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[136,35,9]]known params	check-deletion	136	35	d ≤ 9	20.846	·	12	·	1.33	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[360,12,25]]	other	360	12	d ≤ 25	20.833	·	7	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[192,10,20]]	bivariate bicycle	192	10	d ≤ 20	20.833	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
	[[636,2,81]]known params	generalized bicycle	636	2	d ≤ 81	20.632	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[224,18,16]]	bivariate bicycle	224	18	d ≤ 16	20.571	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[336,12,24]]	other	336	12	d ≤ 24	20.571	·	7	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[308,8,28]]	other	308	8	d ≤ 28	20.364	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[252,20,16]]known params	2bga-nonabelian	252	20	d ≤ 16	20.317	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[300,36,13]]known params	2bga-nonabelian	300	36	d ≤ 13	20.28	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[330,34,14]]	generalized bicycle	330	34	d ≤ 14	20.194	·	8	·	1	6	·	@seunomonije	Claude Fable 5	2026-07-17
★	[[120,20,11]]known params	generalized bicycle	120	20	d ≤ 11	20.167	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[240,10,22]]	other	240	10	d ≤ 22	20.167	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[502,2,71]]known params	generalized bicycle	502	2	d ≤ 71	20.084	·	24	·	1.03	4	·	@vprusso	Claude Opus 5	2026-09-22
★	[[180,10,19]]	bivariate bicycle	180	10	d ≤ 19	20.056	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[390,78,10]]	lifted product	390	78	d = 10	20.0	·	8	·	1	4	·	@vprusso	Claude Fable 5.1	2026-09-20
	[[350,70,10]]	lifted product	350	70	d = 10	20.0	·	8	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-20
	[[330,66,10]]	lifted product	330	66	d = 10	20.0	·	8	·	1	4	·	@vprusso	Claude Fable 5.1	2026-09-20
	[[320,64,10]]	lifted product	320	64	d = 10	20.0	·	8	·	1	4	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[270,54,10]]	balanced product	270	54	d ≤ 10	20.0	·	9	·	1.2	4	·	@mathysrennela	Xiaomi Mimo-V2.5	2026-07-31
	[[220,44,10]]	lifted product	220	44	d = 10	20.0	·	9	·	1	4	·	@yhu1996	Claude Opus 4.8	2026-08-05
★	[[160,32,10]]known params	balanced product	160	32	d ≤ 10	20.0	·	9	·	1	4	·	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[150,30,10]]known params	balanced product2D-local bilayer	150	30	d = 10	20.0	0.0083	9	1002	1	4	10.3	@yifanhong	GPT 5.6 Sol	2026-08-02
★	[[96,30,8]]known params	other	96	30	d = 8	20.0	·	32	·	1	4	·	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
★	[[120,24,10]]known params	bivariate bicycle	120	24	d = 10	20.0	·	9	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[64,20,8]]known params	other2D-local bilayer	64	20	d = 8	20.0	0.0173	16	169	1	4	5.1	@vprusso	Claude Fable 5.1 (Claude Code)	2026-10-08
	[[630,14,30]]	generalized bicycle	630	14	d ≤ 30	20.0	·	6	·	1	6	·	@dorakingx		2026-09-11
★	[[292,18,18]]known params	generalized bicycle	292	18	d ≤ 18	19.973	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[310,14,21]]	generalized bicycle	310	14	d ≤ 21	19.916	·	8	·	1	4	·	@shassinger	OpenAI 5.6 Sol	2026-07-14
	[[948,24,28]]	distance-amplified	948	24	d ≤ 28	19.848	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[204,28,12]]known params	generalized bicycle	204	28	d ≤ 12	19.765	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[146,20,12]]known params	generalized bicycle	146	20	d ≤ 12	19.726	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[558,14,28]]	generalized bicycle2D-local bilayer	558	14	d ≤ 28	19.67	0.0085	6	3805	1	6	17.3	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[102,20,10]]	generalized bicycle2D-local bilayer	102	20	d = 10	19.608	0.0082	9	720	1	4	6.32	@gideonlsx	Claude Opus 5.5	2026-09-28
	[[180,18,14]]	2BGA coset	180	18	d ≤ 14	19.6	·	8	·	1	6	·	@FarLab	Claude Opus 4.8	2026-06-22
★	[[120,12,14]]known params	generalized bicycle	120	12	d ≤ 14	19.6	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[944,32,24]]	distance-amplified	944	32	d ≤ 24	19.525	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[708,24,24]]	distance-amplified	708	24	d ≤ 24	19.525	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[186,30,11]]known params	generalized bicycle	186	30	d ≤ 11	19.516	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[112,18,11]]known params	generalized bicycle	112	18	d ≤ 11	19.446	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[580,2,75]]known params	generalized bicycle	580	2	d ≤ 75	19.397	·	24	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[224,12,19]]known params	generalized bicycle	224	12	d ≤ 19	19.339	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[140,12,15]]known params	generalized bicycle	140	12	d ≤ 15	19.286	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[168,10,18]]	bivariate bicycle	168	10	d ≤ 18	19.286	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[300,20,17]]known params	2bga-nonabelian	300	20	d ≤ 17	19.267	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[899,18,31]]	tile2D-local bilayer	899	18	d ≤ 31	19.241	0.0594	8	3129	1	4	23.7	@dorakingx and @DennisWayo	GPT-5 (Codex)	2026-10-15
★	[[350,8,29]]	other	350	8	d ≤ 29	19.223	·	8	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-27
★	[[126,20,11]]	generalized bicycle	126	20	d ≤ 11	19.206	·	8	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[720,24,24]]	other	720	24	d ≤ 24	19.2	·	7	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[80,24,8]]⚙3	bivariate bicycle	80	24	d ≤ 8	19.2	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[360,12,24]]known params	bivariate bicycle2D-local bilayer	360	12	d ≤ 24	19.2	0.0083	6	2091	1	6	14.7	Zijian Liang et al.		2025
★	[[90,12,12]]⚙12	bivariate bicycle	90	12	d ≤ 12	19.2	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[124,14,13]]known params	generalized bicycle	124	14	d ≤ 13	19.081	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[272,144,6]]	lifted product	272	144	d ≤ 6	19.059	·	15	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[144,14,14]]known params	bivariate bicycle	144	14	d ≤ 14	19.056	·	8	·	1	6	·	@MathysRennela	Mimo V2.5	2026-09-15
★	[[102,16,11]]known params	generalized bicycle	102	16	d ≤ 11	18.98	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[914,18,31]]	tile2D-local bilayer	914	18	d ≤ 31	18.926	0.0093	8	3168	1	4	21.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-14
	[[240,14,18]]	2BGA coset	240	14	d ≤ 18	18.9	·	8	·	1	4	·	@vprusso	Claude Opus 4.8	2026-08-04
★	[[170,8,20]]known params	pair-partition CPM	170	8	d ≤ 20	18.824	·	10	·	1	6	·	Lee, Jong Yeon		2026
★	[[90,14,11]]⚙8	bivariate bicycle	90	14	d ≤ 11	18.822	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[920,18,31]]	tile2D-local bilayer	920	18	d ≤ 31	18.802	0.058	8	3179	1	4	23.7	@dorakingx and @DennisWayo	GPT-5 (Codex)	2026-10-14
	[[921,18,31]]	tile2D-local bilayer	921	18	d ≤ 31	18.782	0.058	8	3186	1	4	23.7	@DennisWayo	GPT-5 (Codex)	2026-10-11
★	[[96,18,10]]⚙5	bivariate bicycle	96	18	d ≤ 10	18.75	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[576,12,30]]	bivariate bicycle	576	12	d ≤ 30	18.75	·	6	·	1.07	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[924,18,31]]	tile2D-local bilayer	924	18	d ≤ 31	18.721	0.0578	8	3201	1.45	4	22.8	@e-eight	DeepSeek V4 Flash (deepseek-flash)	2026-09-15
★	[[576,298,6]]	other	576	298	d ≤ 6	18.625	·	16	·	2	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[330,6,32]]known params	generalized bicycle	330	6	d ≤ 32	18.618	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[654,6,45]]known params	generalized bicycle	654	6	d ≤ 45	18.578	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[252,130,6]]known params	other	252	130	d = 6	18.571	·	12	·	1	4	·	@mathysrennela	Deepseek V4 Flash 0731	2026-08-05
★	[[210,12,18]]	bivariate bicycle	210	12	d ≤ 18	18.514	·	7	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[288,148,6]]	other	288	148	d ≤ 6	18.5	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[104,30,8]]known params	pair-partition CPM2D-local bilayer	104	30	d = 8	18.462	0.0077	8	542	1	6	7.21	Lee, Jong Yeon		2026
★	[[324,166,6]]	other	324	166	d ≤ 6	18.444	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[360,184,6]]	other	360	184	d ≤ 6	18.4	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
	[[98,18,10]]⚙5	bivariate bicycle	98	18	d ≤ 10	18.367	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[396,202,6]]	other	396	202	d ≤ 6	18.364	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[558,10,32]]	generalized bicycle	558	10	d ≤ 32	18.351	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[432,220,6]]	other	432	220	d ≤ 6	18.333	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[664,2,78]]known params	generalized bicycle	664	2	d ≤ 78	18.325	·	12	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
★	[[210,60,8]]	other	210	60	d ≤ 8	18.286	·	25	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[630,20,24]]	generalized bicycle	630	20	d ≤ 24	18.286	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[73,37,6]]known params	other2D-local bilayer	73	37	d = 6	18.247	0.0114	28	24	1	4	5.66	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[124,10,15]]known params	generalized bicycle	124	10	d ≤ 15	18.145	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[466,2,65]]known params	generalized bicycle	466	2	d ≤ 65	18.133	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[224,18,15]]known params	generalized bicycle	224	18	d ≤ 15	18.08	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[510,16,24]]known params	generalized bicycle	510	16	d ≤ 24	18.071	·	6	·	1	6	·	@FarLab	Claude Fable 5	2026-08-19
★	[[434,10,28]]	generalized bicycle	434	10	d ≤ 28	18.065	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[450,12,26]]	bivariate bicycle	450	12	d ≤ 26	18.027	·	6	·	1	6	·	@diogoff	GPT-6 Luna	2026-09-28
★	[[64,18,8]]known params	generalized bicycle2D-local bilayer	64	18	d = 8	18.0	0.0089	8	323	1	6	7.07	@mathysrennela	Solar Pro 4 (Upstage AI)	2026-08-20
	[[288,16,18]]	lifted product	288	16	d ≤ 18	18.0	·	7	·	1	6	·	Qian et al.		2026
	[[216,12,18]]	bivariate bicycle	216	12	d ≤ 18	18.0	·	8	·	1	4	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[698,2,79]]known params	generalized bicycle	698	2	d ≤ 79	17.883	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-22
★	[[136,38,8]]known params	pair-partition CPM	136	38	d = 8	17.882	·	8	·	1	6	·	Lee, Jong Yeon		2026
	[[968,18,31]]	tile2D-local bilayer	968	18	d ≤ 31	17.87	0.0552	8	3363	1.13	4	23.7	@e-eight	DeepSeek V4 Flash 0731	2026-09-22
★	[[172,48,8]]	other2D-local bilayer	172	48	d = 8	17.86	0.0088	13	824	1	4	6.4	@nihoniumqc	GPT-6	2026-10-03
	[[420,12,25]]	other	420	12	d ≤ 25	17.857	·	7	·	1.08	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
★	[[434,16,22]]	generalized bicycle	434	16	d ≤ 22	17.843	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[248,10,21]]known params	generalized bicycle	248	10	d ≤ 21	17.782	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[90,16,10]]known params	bivariate bicycle2D-local bilayer	90	16	d = 10	17.778	0.0106	9	572	1	4	6.71	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[144,10,16]]	bivariate bicycle2D-local bilayer	144	10	d ≤ 16	17.778	0.0074	8	953	1	4	9.22	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[196,12,17]]known params	generalized bicycle	196	12	d ≤ 17	17.694	·	7	·	1	6	·	@MathysRennela		2026-08-17
★	[[550,38,16]]	lifted product	550	38	d ≤ 16	17.687	·	7	·	1.12	6	·	@Abhay-Suresh	Claude Opus 5	2026-09-22
★	[[152,42,8]]known params	pair-partition CPM	152	42	d = 8	17.684	·	8	·	1	6	·	Lee, Jong Yeon		2026
★	[[98,12,12]]known params	bivariate bicycle	98	12	d = 12	17.633	·	9	·	1	4	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[556,2,70]]known params	generalized bicycle	556	2	d ≤ 70	17.626	·	18	·	1.19	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[922,18,30]]	tile2D-local bilayer	922	18	d ≤ 30	17.57	0.0542	8	3192	1.03	4	24.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-17
★	[[102,22,9]]	generalized bicycle2D-local bilayer	102	22	d = 9	17.471	0.0086	8	560	1	6	7.28	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[176,48,8]]⚙4	other	176	48	d ≤ 8	17.455	·	17	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[180,16,14]]known params	generalized bicycle	180	16	d ≤ 14	17.422	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[540,12,28]]	generalized bicycle	540	12	d ≤ 28	17.422	·	6	·	1.07	4	·	@edoaltamura	GPT-5	2026-08-29
★	[[150,8,18]]known params	generalized bicycle	150	8	d ≤ 18	17.28	·	9	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[904,12,36]]	distance-amplified	904	12	d ≤ 36	17.204	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[128,22,10]]	generalized bicycle2D-local bilayer	128	22	d = 10	17.188	0.0072	8	745	1	6	7.21	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[882,18,29]]	tile2D-local bilayer	882	18	d ≤ 29	17.163	0.053	8	3042	1.24	4	24.4	@e-eight	DeepSeek V4 Flash 0731	2026-09-17
★	[[84,40,6]]	other	84	40	d ≤ 6	17.143	·	20	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[84,10,12]]⚙12	bivariate bicycle	84	10	d ≤ 12	17.143	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[494,2,65]]known params	generalized bicycle	494	2	d ≤ 65	17.105	·	14	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[910,12,36]]	other	910	12	d ≤ 36	17.09	·	7	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
★	[[210,56,8]]	other	210	56	d = 8	17.067	·	10	·	1	4	·	@nihoniumqc	GPT-6	2026-10-03
★	[[180,12,16]]known params	bivariate bicycle	180	12	d ≤ 16	17.067	·	7	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[186,14,15]]	bivariate bicycle	186	14	d ≤ 15	16.935	·	7	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[96,20,9]]⚙4	bivariate bicycle	96	20	d ≤ 9	16.875	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[315,65,9]]	lifted product	315	65	d = 9	16.714	·	8	·	1	4	·	@vprusso	Claude Fable 5.1	2026-09-20
★	[[126,26,9]]	generalized bicycle2D-local bilayer	126	26	d = 9	16.714	0.007	8	699	1	6	7.21	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[320,66,9]]known params	check-deletion	320	66	d = 9	16.706	·	9	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[376,98,8]]	pair-partition CPM	376	98	d = 8	16.681	·	8	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-01
★	[[168,28,10]]⚙10	bivariate bicycle	168	28	d ≤ 10	16.667	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[84,14,10]]known params	generalized bicycle2D-local bilayer	84	14	d = 10	16.667	0.0122	8	457	1	4	6.08	@MathysRennela		2026-09-17
	[[350,72,9]]known params	check-deletion	350	72	d ≤ 9	16.663	·	9	·	1.22	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[390,80,9]]known params	check-deletion	390	80	d = 9	16.615	·	9	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
★	[[156,8,18]]known params	2bga-nonabelian	156	8	d ≤ 18	16.615	·	8	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[792,18,27]]	tile2D-local bilayer	792	18	d ≤ 27	16.568	0.0082	8	2708	1.04	4	20.6	@DennisWayo	GPT-5 (Codex)	2026-10-11
	[[793,18,27]]	tile2D-local bilayer	793	18	d ≤ 27	16.547	0.0082	8	2711	1.04	4	20.6	@DennisWayo	GPT-5 (Codex)	2026-10-11
	[[794,18,27]]	tile2D-local bilayer	794	18	d ≤ 27	16.526	0.0082	8	2725	1.04	4	20.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
★	[[630,8,36]]	bivariate bicycle	630	8	d ≤ 36	16.457	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
	[[350,71,9]]known params	check-deletion	350	71	d ≤ 9	16.431	·	9	·	1.22	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[390,79,9]]known params	check-deletion	390	79	d = 9	16.408	·	9	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[800,18,27]]	tile2D-local bilayer	800	18	d ≤ 27	16.402	0.0506	8	2737	1.04	4	23	@e-eight	Claude Opus 5.5	2026-09-23
★	[[470,2,62]]known params	generalized bicycle	470	2	d ≤ 62	16.357	·	14	·	1.03	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[720,184,8]]	topological	720	184	d ≤ 8	16.356	·	8	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
	[[376,6,32]]	lifted product	376	6	d ≤ 32	16.34	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-08-07
	[[216,8,21]]	bivariate bicycle	216	8	d ≤ 21	16.333	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[288,6,28]]	generalized bicycle	288	6	d ≤ 28	16.333	·	8	·	1	4	·	@trevor-vincent	Claude Fable 5	2026-10-01
★	[[442,2,60]]known params	generalized bicycle	442	2	d ≤ 60	16.29	·	20	·	1.03	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[378,24,16]]	generalized bicycle	378	24	d ≤ 16	16.254	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[390,78,9]]	lifted product	390	78	d = 9	16.2	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-16
	[[360,72,9]]	lifted product	360	72	d ≤ 9	16.2	·	8	·	1.11	4	·	@vprusso	Claude Fable 5.1	2026-09-20
	[[350,70,9]]	lifted product	350	70	d = 9	16.2	·	8	·	1	4	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-16
	[[330,66,9]]	lifted product	330	66	d = 9	16.2	·	8	·	1	4	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[320,64,9]]	lifted product	320	64	d ≤ 9	16.2	·	8	·	1.11	4	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[480,24,18]]	generalized bicycle	480	24	d ≤ 18	16.2	·	6	·	1	8	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[90,18,9]]⚙4	bivariate bicycle	90	18	d ≤ 9	16.2	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[360,8,27]]	bivariate bicycle	360	8	d ≤ 27	16.2	·	7	·	1	6	·	@mathysrennela		2026-09-21
★	[[420,14,22]]	generalized bicycle	420	14	d ≤ 22	16.133	·	6	·	1.09	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[90,12,11]]known params	generalized bicycle2D-local bilayer	90	12	d ≤ 11	16.133	0.0096	9	547	1	4	6.4	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[248,10,20]]	2BGA coset	248	10	d ≤ 20	16.129	·	8	·	1	6	·	@vprusso	Claude Opus 4.8	2026-08-02
★	[[700,44,16]]	lifted product	700	44	d ≤ 16	16.091	·	7	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
★	[[168,12,15]]known params	generalized bicycle	168	12	d ≤ 15	16.071	·	7	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[140,10,15]]⚙15	bivariate bicycle	140	10	d ≤ 15	16.071	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[144,8,17]]known params	generalized bicycle	144	8	d ≤ 17	16.056	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[96,24,8]]⚙4	bivariate bicycle	96	24	d ≤ 8	16.0	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[144,16,12]]	bivariate bicycle	144	16	d = 12	16.0	·	8	·	1	4	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[56,14,8]]⚙4	bivariate bicycle	56	14	d ≤ 8	16.0	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[192,12,16]]	2BGA coset	192	12	d ≤ 16	16.0	·	8	·	1	4	·	@vprusso	Claude Opus 4.8	2026-08-03
	[[288,8,24]]	2BGA coset	288	8	d ≤ 24	16.0	·	8	·	1	4	·	@vprusso	Claude Opus 4.8	2026-08-02
★	[[80,26,7]]	other	80	26	d ≤ 7	15.925	·	10	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[170,16,13]]known params	generalized bicycle	170	16	d ≤ 13	15.906	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[508,14,24]]	generalized bicycle	508	14	d ≤ 24	15.874	·	6	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[126,20,10]]	generalized bicycle	126	20	d = 10	15.873	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[656,2,72]]known params	generalized bicycle	656	2	d ≤ 72	15.805	·	12	·	1	4	·	@vprusso	Claude Opus 5	2026-09-24
	[[128,14,12]]	bivariate bicycle	128	14	d = 12	15.75	·	8	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-08
★	[[100,8,14]]⚙13	bivariate bicycle	100	8	d ≤ 14	15.68	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[310,10,22]]	generalized bicycle	310	10	d ≤ 22	15.613	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[186,10,17]]known params	generalized bicycle	186	10	d ≤ 17	15.538	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[824,32,20]]	distance-amplified	824	32	d ≤ 20	15.534	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[618,24,20]]	distance-amplified	618	24	d ≤ 20	15.534	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[464,2,60]]known params	generalized bicycle	464	2	d ≤ 60	15.517	·	22	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[132,32,8]]	other2D-local bilayer	132	32	d = 8	15.515	0.0113	11	563	1	4	8.54	@nihoniumqc	GPT-6	2026-10-03
★	[[132,8,16]]known params	2bga-nonabelian	132	8	d ≤ 16	15.515	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[186,20,12]]known params	generalized bicycle	186	20	d ≤ 12	15.484	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[84,36,6]]	other	84	36	d ≤ 6	15.429	·	18	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[84,16,9]]known params	generalized bicycle2D-local bilayer	84	16	d ≤ 9	15.429	0.0092	9	574	1	4	6.71	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[112,12,12]]	generalized bicycle2D-local bilayer	112	12	d = 12	15.429	0.0076	8	728	1	4	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[834,32,20]]	distance-amplified	834	32	d ≤ 20	15.348	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[93,29,7]]	other	93	29	d ≤ 7	15.28	·	12	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[340,16,18]]known params	bivariate bicycle	340	16	d ≤ 18	15.247	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[336,20,16]]	generalized bicycle	336	20	d ≤ 16	15.238	·	6	·	1	8	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[540,8,32]]	bivariate bicycle	540	8	d ≤ 32	15.17	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-23
★	[[234,8,21]]known params	2bga-nonabelian	234	8	d ≤ 21	15.077	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[154,8,17]]	bivariate bicycle	154	8	d ≤ 17	15.013	·	8	·	1	6	·	@mathysrennela	GPT-5.6 Luna	2026-08-28
★	[[80,12,10]]⚙4	bivariate bicycle	80	12	d ≤ 10	15.0	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[216,10,18]]known params	2bga-nonabelian	216	10	d ≤ 18	15.0	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[96,10,12]]⚙8	bivariate bicycle	96	10	d ≤ 12	15.0	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[480,8,30]]	2BGA coset	480	8	d ≤ 30	15.0	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-06
	[[66,20,7]]	generalized bicycle2D-local bilayer	66	20	d = 7	14.848	0.0073	19	235	1	4	5.39	@mathysrennela	Solar Pro 4 (Upstage AI)	2026-08-20
★	[[216,8,20]]known params	generalized bicycle	216	8	d ≤ 20	14.815	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[760,18,25]]	tile2D-local bilayer	760	18	d ≤ 25	14.803	0.0457	8	2591	1.28	4	22.2	@MathysRennela	MiMo-V2.6-Flash (OpenCode agent harness)	2026-10-16
★	[[410,2,55]]known params	generalized bicycle	410	2	d ≤ 55	14.756	·	18	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[100,30,7]]	other2D-local bilayer	100	30	d = 7	14.7	0.0073	14	495	1	4	6.32	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[320,6,28]]	generalized bicycle	320	6	d ≤ 28	14.7	·	8	·	1	4	·	@FarLab	Claude Opus 4.8	2026-07-06
★	[[648,18,23]]	tile2D-local bilayer	648	18	d ≤ 23	14.694	0.0454	8	2175	1.17	4	22	@MathysRennela	MiMo-V2.6-Flash (OpenCode agent harness)	2026-10-16
★	[[216,6,23]]	bivariate bicycle	216	6	d ≤ 23	14.694	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
★	[[780,318,6]]	lifted product	780	318	d ≤ 6	14.677	·	8	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[800,326,6]]	lifted product	800	326	d ≤ 6	14.67	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[96,22,8]]known params	2bga-nonabelian2D-local bilayer	96	22	d ≤ 8	14.667	0.0092	8	593	1	4	5.39	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[264,8,22]]	2BGA coset	264	8	d ≤ 22	14.667	·	7	·	1	6	·	@vprusso	Claude Opus 4.8	2026-08-04
★	[[840,342,6]]	lifted product	840	342	d ≤ 6	14.657	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[900,366,6]]	lifted product	900	366	d ≤ 6	14.64	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
	[[140,8,16]]	generalized bicycle	140	8	d ≤ 16	14.629	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[960,390,6]]	lifted product	960	390	d ≤ 6	14.625	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[980,398,6]]	lifted product	980	398	d ≤ 6	14.62	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[1000,406,6]]	lifted product	1000	406	d ≤ 6	14.616	·	8	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[580,4,46]]known params	generalized bicycle	580	4	d ≤ 46	14.593	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[84,34,6]]known params	pair-partition CPM2D-local bilayer	84	34	d = 6	14.571	0.0072	12	357	1	4	7.21	Okada et al.		2026
★	[[108,8,14]]⚙14	bivariate bicycle	108	8	d ≤ 14	14.519	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[112,20,9]]	generalized bicycle2D-local bilayer	112	20	d = 9	14.464	0.0071	8	665	1	6	7.81	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[84,10,11]]known params	generalized bicycle2D-local bilayer	84	10	d ≤ 11	14.405	0.0105	9	478	1	4	6.71	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[80,32,6]]	other	80	32	d ≤ 6	14.4	·	10	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[180,8,18]]known params	generalized bicycle	180	8	d ≤ 18	14.4	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[80,8,12]]⚙12	bivariate bicycle	80	8	d ≤ 12	14.4	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[721,18,24]]	tile2D-local bilayer	721	18	d ≤ 24	14.38	0.0444	8	2442	1.38	4	21.6	@MathysRennela	MiMo-V2.6-Flash (OpenCode agent harness)	2026-10-16
	[[722,18,24]]	tile2D-local bilayer	722	18	d ≤ 24	14.36	0.0443	8	2448	1.46	4	21.6	@MathysRennela	MiMo-V2.6-Flash (OpenCode agent harness)	2026-10-16
	[[102,18,9]]	generalized bicycle2D-local bilayer	102	18	d = 9	14.294	0.0071	8	563	1	6	6.4	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[280,10,20]]	2BGA coset	280	10	d ≤ 20	14.286	·	8	·	1	6	·	@vprusso	Claude Opus 4.8	2026-08-03
	[[103,30,7]]	other2D-local bilayer	103	30	d ≤ 7	14.272	0.007	14	544	1.14	4	6.71	@davidplu	GPT-6 (Codex)	2026-09-29
★	[[182,32,9]]⚙9	bivariate bicycle	182	32	d ≤ 9	14.242	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[126,28,8]]	generalized bicycle	126	28	d = 8	14.222	·	10	·	1	4	·	Panteleev et al.		2019-04-04
★	[[90,20,8]]known params	generalized bicycle2D-local bilayer	90	20	d ≤ 8	14.222	0.0085	9	562	1	4	6.32	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[288,16,16]]	generalized bicycle	288	16	d ≤ 16	14.222	·	6	·	1	8	·	@willzeng	Claude Fable 5	2026-07-14
	[[576,8,32]]	lifted product	576	8	d ≤ 32	14.222	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-08-07
	[[144,8,16]]known params	bivariate bicycle	144	8	d ≤ 16	14.222	·	8	·	1	6	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
	[[144,8,16]]	generalized bicycle	144	8	d ≤ 16	14.222	·	10	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[108,6,16]]	bivariate bicycle	108	6	d ≤ 16	14.222	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[682,20,22]]	generalized bicycle	682	20	d ≤ 22	14.194	·	6	·	1	6	·	@FarLab	Claude Fable 5	2026-08-19
★	[[254,14,16]]known params	generalized bicycle	254	14	d ≤ 16	14.11	·	6	·	1	6	·	@mathysrennela		2026-08-15
★	[[80,45,5]]	other	80	45	d ≤ 5	14.062	·	20	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
	[[128,8,15]]	generalized bicycle	128	8	d ≤ 15	14.062	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-28
★	[[330,8,24]]known params	bivariate bicycle	330	8	d ≤ 24	13.964	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[72,10,10]]⚙5	bivariate bicycle	72	10	d ≤ 10	13.889	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[592,8,32]]	lifted product	592	8	d ≤ 32	13.838	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-08-07
★	[[98,8,13]]⚙13	generalized bicycle	98	8	d ≤ 13	13.796	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[392,2,52]]known params	generalized bicycle	392	2	d ≤ 52	13.796	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[186,10,16]]	generalized bicycle	186	10	d ≤ 16	13.763	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[672,8,34]]	2BGA coset	672	8	d ≤ 34	13.762	·	6	·	1.18	6	·	@vprusso	Claude Opus 5	2026-09-07
★	[[80,44,5]]	other	80	44	d ≤ 5	13.75	·	18	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[42,16,6]]known params	generalized bicycle2D-local bilayer	42	16	d = 6	13.714	0.0086	22	19	1	4	5.39	Liangdong Lu et al.	GPT-5.6 Luna	2026-08-10
★	[[224,12,16]]known params	2bga-nonabelian	224	12	d ≤ 16	13.714	·	6	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[126,12,12]]known params	generalized bicycle	126	12	d = 12	13.714	·	7	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[56,12,8]]	generalized bicycle	56	12	d = 8	13.714	0.0195	8	497	1	4	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[84,8,12]]⚙5	bivariate bicycle	84	8	d ≤ 12	13.714	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[84,8,12]]known params	generalized bicycle2D-local bilayer	84	8	d ≤ 12	13.714	0.01	9	483	1	4	6.4	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[124,14,11]]known params	generalized bicycle2D-local bilayer	124	14	d = 11	13.661	0.0081	8	802	1	4	7.81	@mathysrennela	Ox Alpha 1.0	2026-08-23
★	[[248,20,13]]known params	generalized bicycle	248	20	d ≤ 13	13.629	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[124,10,13]]known params	generalized bicycle	124	10	d ≤ 13	13.629	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[602,8,32]]	generalized bicycle	602	8	d ≤ 32	13.608	·	8	·	1.12	4	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-14
★	[[294,10,20]]known params	generalized bicycle	294	10	d ≤ 20	13.605	·	6	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[826,28,20]]	distance-amplified	826	28	d ≤ 20	13.559	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[288,12,18]]	bivariate bicycle	288	12	d ≤ 18	13.5	·	6	·	1	6	·	Bravyi et al.		2023-08-15
★	[[72,12,9]]⚙6	bivariate bicycle	72	12	d ≤ 9	13.5	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[144,6,18]]	generalized bicycle	144	6	d ≤ 18	13.5	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[180,20,11]]known params	2bga-nonabelian	180	20	d ≤ 11	13.444	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[90,10,11]]⚙11	generalized bicycle	90	10	d ≤ 11	13.444	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[288,8,22]]known params	2bga-nonabelian	288	8	d ≤ 22	13.444	·	6	·	1	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[280,6,25]]	generalized bicycle	280	6	d ≤ 25	13.393	·	8	·	1	6	·	@simsaidan	Cursor Composer 2.5	2026-09-07
	[[360,75,8]]known params	check-deletion	360	75	d = 8	13.333	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[96,20,8]]	bivariate bicycle2D-local bilayer	96	20	d = 8	13.333	0.0066	8	650	1	4	7.28	@MathysRennela	Mimo V2.5	2026-09-15
★	[[120,16,10]]known params	generalized bicycle	120	16	d ≤ 10	13.333	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[108,10,12]]⚙12	bivariate bicycle	108	10	d ≤ 12	13.333	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[48,10,8]]⚙5	bivariate bicycle	48	10	d ≤ 8	13.333	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[240,8,20]]known params	2BGA coset	240	8	d ≤ 20	13.333	·	6	·	1	8	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
	[[240,8,20]]	2BGA coset	240	8	d ≤ 20	13.333	·	8	·	1	6	·	@vprusso	Claude Opus 4.8	2026-07-31
★	[[60,8,10]]⚙5	bivariate bicycle	60	8	d ≤ 10	13.333	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[348,4,34]]	lifted product	348	4	d ≤ 34	13.287	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-08-07
★	[[540,112,8]]	lifted product	540	112	d ≤ 8	13.274	·	6	·	1	6	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-16
★	[[408,216,5]]	lifted product	408	216	d ≤ 5	13.235	·	15	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
	[[136,8,15]]	generalized bicycle	136	8	d ≤ 15	13.235	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[492,18,19]]	tile2D-local bilayer	492	18	d ≤ 19	13.207	0.0065	8	1744	1	4	15.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-14
★	[[504,26,16]]	generalized bicycle	504	26	d ≤ 16	13.206	·	6	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[960,198,8]]	lifted product	960	198	d ≤ 8	13.2	·	6	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[675,139,8]]	lifted product	675	139	d ≤ 8	13.179	·	6	·	1	8	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-16
	[[360,74,8]]	lifted product	360	74	d = 8	13.156	·	8	·	1	6	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[132,6,17]]	generalized bicycle	132	6	d ≤ 17	13.136	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[80,42,5]]	other	80	42	d ≤ 5	13.125	·	16	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[810,166,8]]	lifted product	810	166	d ≤ 8	13.116	·	6	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-18
	[[610,20,20]]	distance-amplified	610	20	d ≤ 20	13.115	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[310,6,26]]	lifted product	310	6	d ≤ 26	13.084	·	9	·	1	4	·	@vprusso	Claude Opus 5	2026-08-06
★	[[240,16,14]]known params	2bga-nonabelian	240	16	d ≤ 14	13.067	·	6	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[120,8,14]]	generalized bicycle2D-local bilayer	120	8	d ≤ 14	13.067	0.0054	7	696	1	6	9.22	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[248,10,18]]known params	bivariate bicycle2D-local bilayer	248	10	d ≤ 18	13.065	0.0054	6	1440	1	6	13.6	Zijian Liang et al.		2025
★	[[62,10,9]]known params	generalized bicycle2D-local bilayer	62	10	d ≤ 9	13.065	0.0193	9	262	1	4	5.1	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[98,26,7]]⚙7	bivariate bicycle	98	26	d ≤ 7	13.0	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[612,18,21]]	tile2D-local bilayer	612	18	d ≤ 21	12.971	0.04	8	2045	1.38	4	19.2	@MathysRennela	MiMo-V2.6-Flash (OpenCode agent harness)	2026-10-16
	[[200,8,18]]	generalized bicycle	200	8	d ≤ 18	12.96	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[900,182,8]]	topological	900	182	d ≤ 8	12.942	·	5	·	1	10	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[420,8,26]]	bivariate bicycle	420	8	d ≤ 26	12.876	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[180,8,17]]	generalized bicycle2D-local bilayer	180	8	d ≤ 17	12.844	0.0063	7	1002	1	4	10.2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[718,64,12]]	distance-amplified	718	64	d ≤ 12	12.836	·	6	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[80,41,5]]	other	80	41	d ≤ 5	12.812	·	15	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
	[[360,72,8]]	lifted product	360	72	d = 8	12.8	·	8	·	1	6	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[315,63,8]]	lifted product	315	63	d = 8	12.8	·	8	·	1	4	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[230,46,8]]	lifted product	230	46	d = 8	12.8	·	9	·	1.25	4	·	@yhu1996	Claude Opus 4.8	2026-08-05
	[[195,39,8]]	lifted product	195	39	d = 8	12.8	·	9	·	1	4	·	@yhu1996	Claude Opus 4.8	2026-08-04
	[[190,38,8]]	lifted product	190	38	d = 8	12.8	·	9	·	1	4	·	@yhu1996	Claude Opus 4.8	2026-08-04
	[[180,36,8]]	lifted product	180	36	d = 8	12.8	·	9	·	1	4	·	@yhu1996	Claude Opus 4.8	2026-08-04
	[[170,34,8]]	lifted product	170	34	d = 8	12.8	·	9	·	1	4	·	@yhu1996	Claude Opus 4.8	2026-08-04
★	[[270,24,12]]known params	generalized bicycle	270	24	d ≤ 12	12.8	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[120,24,8]]	lifted product2D-local bilayer	120	24	d = 8	12.8	0.0063	9	600	1	4	7.28	@yhu1996	Claude Opus 4.8	2026-08-04
	[[100,20,8]]known params	balanced product	100	20	d = 8	12.8	0.0071	9	957	1	4	10.6	@yifanhong	GPT 5.6 Sol	2026-08-02
	[[180,16,12]]known params	2BGA coset	180	16	d = 12	12.8	·	7	·	1	4	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
	[[120,6,16]]	generalized bicycle	120	6	d ≤ 16	12.8	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-28
★	[[563,18,20]]	tile2D-local bilayer	563	18	d ≤ 20	12.789	0.0374	8	5477	1	4	21.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
	[[136,6,17]]	generalized bicycle	136	6	d ≤ 17	12.75	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-29
★	[[672,342,5]]	other	672	342	d = 5	12.723	·	12	·	1	6	·	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[566,18,20]]	tile2D-local bilayer	566	18	d ≤ 20	12.721	0.0372	8	5510	1.05	4	23.7	@e-eight	DeepSeek-V4.1-Flash	2026-09-14
	[[510,20,18]]	generalized bicycle	510	20	d ≤ 18	12.706	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
	[[512,18,19]]	tile2D-local bilayer	512	18	d ≤ 19	12.691	0.011	8	1793	1.05	4	15.7	Steffan et al.	Space Bunny Alpha 1.0	2026-10-10
	[[572,18,20]]	tile2D-local bilayer	572	18	d ≤ 20	12.587	0.03	8	5579	1.05	4	23.3	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[108,8,13]]⚙13	bivariate bicycle	108	8	d ≤ 13	12.519	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[144,8,15]]	bivariate bicycle2D-local bilayer	144	8	d ≤ 15	12.5	0.0062	8	961	1	4	8.54	@MathysRennela	Omen Alpha 1.0	2026-09-09
	[[578,18,20]]	tile2D-local bilayer	578	18	d ≤ 20	12.457	0.0364	8	5642	1.05	4	21.2	@npdeep	Magic State Labs (Custom) v0.1	2026-08-12
	[[72,14,8]]	bivariate bicycle2D-local bilayer	72	14	d = 8	12.444	0.0148	8	269	1	4	5.83	@mathysrennela		2026-09-15
	[[312,8,22]]known params	bivariate bicycle	312	8	d ≤ 22	12.41	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[186,64,6]]⚙3	other	186	64	d ≤ 6	12.387	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-17
★	[[64,22,6]]⚙2	bivariate bicycle	64	22	d ≤ 6	12.375	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[85,42,5]]known params	check-deletion2D-local bilayer	85	42	d = 5	12.353	0.0073	24	121	1	4	6.4	@vprusso	Claude Opus 5	2026-09-21
	[[630,6,36]]	generalized bicycle	630	6	d ≤ 36	12.343	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-06
★	[[222,76,6]]	other	222	76	d ≤ 6	12.324	·	6	·	1	12	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[176,6,19]]	generalized bicycle	176	6	d ≤ 19	12.307	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[474,18,18]]	tile2D-local bilayer	474	18	d ≤ 18	12.304	0.0051	8	1616	1.11	4	14.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-13
★	[[240,82,6]]	other	240	82	d ≤ 6	12.3	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-17
★	[[246,84,6]]	other	246	84	d ≤ 6	12.293	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-17
★	[[258,88,6]]	other	258	88	d ≤ 6	12.279	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-17
★	[[282,96,6]]	other	282	96	d ≤ 6	12.255	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-17
★	[[192,12,14]]known params	generalized bicycle	192	12	d ≤ 14	12.25	·	6	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[96,6,14]]⚙14	bivariate bicycle	96	6	d ≤ 14	12.25	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[196,6,20]]	generalized bicycle	196	6	d ≤ 20	12.245	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[378,128,6]]	other	378	128	d ≤ 6	12.19	·	6	·	1	12	·	@MathysRennela	Beam 1.0	2026-10-18
	[[252,12,16]]known params	bivariate bicycle	252	12	d ≤ 16	12.19	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[210,10,16]]	generalized bicycle2D-local bilayer	210	10	d ≤ 16	12.19	0.006	6	1304	1	6	10.8	@vprusso	Claude Fable 5.1	2026-09-24
	[[126,6,16]]	generalized bicycle	126	6	d ≤ 16	12.19	·	12	·	1	4	·	@mathysrennela	Xiaomi MiMo-V2.5	2026-07-28
	[[240,13,15]]	generalized bicycle	240	13	d ≤ 15	12.188	·	8	·	1.07	4	·	@FarLab	Claude Fable 5	2026-07-08
	[[160,6,18]]	generalized bicycle	160	6	d ≤ 18	12.15	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[546,184,6]]	topological	546	184	d ≤ 6	12.132	·	6	·	1	12	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[256,194,4]]	other	256	194	d = 4	12.125	·	16	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[561,68,10]]	distance-amplified	561	68	d ≤ 10	12.121	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[240,6,22]]	generalized bicycle	240	6	d ≤ 22	12.1	·	8	·	1	6	·	@simsaidan	Cursor Composer 2.5	2026-09-05
★	[[768,258,6]]	other	768	258	d ≤ 6	12.094	·	6	·	1	12	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[112,8,13]]	generalized bicycle2D-local bilayer	112	8	d = 13	12.071	0.0075	8	587	1	4	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[85,41,5]]known params	check-deletion2D-local bilayer	85	41	d = 5	12.059	0.005	24	98	1	4	7	@vprusso	Claude Opus 5	2026-09-21
	[[450,8,26]]	bivariate bicycle	450	8	d ≤ 26	12.018	·	6	·	1.15	6	·	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[64,48,4]]known params	other2D-local bilayer	64	48	d = 4	12.0	0.0088	32	15	1	4	6.4	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
★	[[192,16,12]]	generalized bicycle2D-local bilayer	192	16	d = 12	12.0	0.0059	6	1348	1	6	10.8	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[168,14,12]]known params	2BGA coset	168	14	d = 12	12.0	·	7	·	1	6	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
	[[42,14,6]]known params	generalized bicycle2D-local bilayer	42	14	d = 6	12.0	0.0075	24	13	1	4	5.1	Liangdong Lu et al.	GPT-5.6 Luna	2026-08-10
★	[[144,12,12]]	bivariate bicycle2D-local bilayer	144	12	d = 12	12.0	0.0093	6	762	1	6	7.28	Bravyi et al.		2023-08-15
	[[216,8,18]]known params	quantum Tanner	216	8	d ≤ 18	12.0	·	9	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-08-21
★	[[96,8,12]]known params	2BGA coset2D-local bilayer	96	8	d = 12	12.0	0.0088	8	571	1	4	8.06	@MathysRennela	Mimo-V2.6-Flash	2026-10-06
★	[[128,6,16]]	generalized bicycle	128	6	d ≤ 16	12.0	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[98,6,14]]⚙14	generalized bicycle	98	6	d ≤ 14	12.0	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[98,6,14]]⚙14	bivariate bicycle	98	6	d ≤ 14	12.0	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[252,30,10]]known params	2bga-nonabelian	252	30	d ≤ 10	11.905	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[168,20,10]]known params	2BGA coset	168	20	d = 10	11.905	·	7	·	1	4	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
	[[270,8,20]]known params	bivariate bicycle	270	8	d ≤ 20	11.852	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[358,2,46]]known params	generalized bicycle	358	2	d ≤ 46	11.821	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[128,42,6]]	other2D-local bilayer	128	42	d = 6	11.812	0.0086	12	448	1	4	6.4	@nihoniumqc	GPT-6	2026-10-03
★	[[224,6,21]]known params	generalized bicycle	224	6	d ≤ 21	11.812	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[85,40,5]]	other2D-local bilayer	85	40	d = 5	11.765	0.0049	24	73	1	4	8.06	@mathysrennela	GLM 5.3 Flash	2026-09-09
★	[[294,6,24]]known params	generalized bicycle	294	6	d ≤ 24	11.755	·	6	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[330,8,22]]	bivariate bicycle2D-local bilayer	330	8	d ≤ 22	11.733	0.0049	6	1845	1	6	12.5	@vprusso	Claude Fable 5.1	2026-09-22
★	[[168,10,14]]known params	2BGA coset2D-local bilayer	168	10	d ≤ 14	11.667	0.0085	6	825	1	4	9.49	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[350,6,26]]known params	bivariate bicycle	350	6	d ≤ 26	11.589	·	6	·	1	6	·	Zijian Liang et al.	human	2025
★	[[406,6,28]]	bivariate bicycle	406	6	d ≤ 28	11.586	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-20
★	[[224,18,12]]known params	2bga-nonabelian	224	18	d ≤ 12	11.571	·	6	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[56,18,6]]⚙4	bivariate bicycle	56	18	d ≤ 6	11.571	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[562,18,19]]	tile2D-local bilayer	562	18	d ≤ 19	11.562	0.0338	8	5457	1.05	4	23.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
★	[[50,16,6]]⚙2	bivariate bicycle	50	16	d ≤ 6	11.52	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[404,4,34]]known params	generalized bicycle	404	4	d ≤ 34	11.446	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[70,8,10]]known params	generalized bicycle2D-local bilayer	70	8	d = 10	11.429	0.0088	8	306	1	4	6.08	@MathysRennela		2026-08-17
	[[511,18,18]]	tile2D-local bilayer	511	18	d ≤ 18	11.413	0.0352	8	1670	1.11	4	17.5	@DennisWayo	GPT-5 (Codex)	2026-10-11
	[[512,18,18]]	tile2D-local bilayer	512	18	d ≤ 18	11.391	0.0352	8	1677	1.11	4	17.5	@MathysRennela	Space Bunny Alpha 1.0	2026-10-10
★	[[180,8,16]]	bivariate bicycle2D-local bilayer	180	8	d ≤ 16	11.378	0.0056	6	1172	1	6	10.8	@mathysrennela	MiMo V2.5	2026-09-15
★	[[476,6,30]]	bivariate bicycle	476	6	d ≤ 30	11.345	·	6	·	1	6	·	@diogoff	GPT-6 Luna	2026-09-27
	[[104,6,14]]⚙14	bivariate bicycle	104	6	d ≤ 14	11.308	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[136,6,16]]	generalized bicycle	136	6	d ≤ 16	11.294	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[240,16,13]]known params	2BGA coset	240	16	d ≤ 13	11.267	·	7	·	1	6	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[616,6,34]]	generalized bicycle	616	6	d ≤ 34	11.26	·	6	·	1	6	·	@trevor-vincent	Claude Fable 5	2026-10-02
	[[830,146,8]]	topological	830	146	d ≤ 8	11.258	·	6	·	1	8	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-13
★	[[80,36,5]]	other	80	36	d ≤ 5	11.25	·	13	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[72,10,9]]known params	generalized bicycle2D-local bilayer	72	10	d = 9	11.25	0.011	8	353	1	4	5.66	@MathysRennela		2026-08-17
★	[[120,6,15]]	generalized bicycle	120	6	d ≤ 15	11.25	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[308,6,24]]known params	bivariate bicycle	308	6	d ≤ 24	11.221	·	6	·	1	6	·	Zijian Liang et al.		2025
	[[548,24,16]]	distance-amplified	548	24	d ≤ 16	11.212	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[140,8,14]]	generalized bicycle2D-local bilayer	140	8	d = 14	11.2	0.0055	7	922	1	6	9.22	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[464,4,36]]known params	generalized bicycle	464	4	d ≤ 36	11.172	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[288,50,8]]	bivariate bicycle	288	50	d = 8	11.111	·	8	·	1	4	·	Cruz-Benito et al.		2026-06-01
	[[144,16,10]]known params	bivariate bicycle2D-local bilayer	144	16	d = 10	11.111	0.0069	8	577	1	4	7.07	Liangdong Lu et al.		2026-09-06
	[[288,8,20]]	bivariate bicycle	288	8	d ≤ 20	11.111	·	6	·	1	6	·	Cruz-Benito et al.		2026
★	[[162,8,15]]	generalized bicycle	162	8	d ≤ 15	11.111	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[72,8,10]]known params	generalized bicycle2D-local bilayer	72	8	d = 10	11.111	0.0132	8	397	1	4	5.83	@MathysRennela		2026-08-17
★	[[324,4,30]]	lifted product	324	4	d ≤ 30	11.111	·	10	·	1	4	·	@vprusso	Claude Opus 5	2026-08-06
★	[[234,8,18]]known params	bivariate bicycle2D-local bilayer	234	8	d ≤ 18	11.077	0.0046	6	1620	1	6	12.8	Zijian Liang et al.		2025
	[[104,8,12]]	generalized bicycle2D-local bilayer	104	8	d = 12	11.077	0.0055	8	705	1	4	6.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[266,6,22]]known params	bivariate bicycle2D-local bilayer	266	6	d ≤ 22	10.917	0.0045	6	1600	1	6	13.9	Zijian Liang et al.		2025
	[[660,8,30]]	lifted product	660	8	d ≤ 30	10.909	·	7	·	1	4	·	@vprusso	Claude Opus 5	2026-08-06
	[[90,20,7]]known params	generalized bicycle	90	20	d = 7	10.889	·	31	·	1	4	·	Liangdong Lu et al.	GPT-5.6 Luna	2026-08-10
	[[144,8,14]]	generalized bicycle2D-local bilayer	144	8	d ≤ 14	10.889	0.0054	7	823	1	4	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[85,37,5]]known params	other2D-local bilayer	85	37	d = 5	10.882	0.0045	24	106	1	4	7.62	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[720,122,8]]	topological	720	122	d ≤ 8	10.844	·	6	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[864,146,8]]	topological	864	146	d ≤ 8	10.815	·	6	·	1.25	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[546,236,5]]	topological	546	236	d ≤ 5	10.806	·	7	·	1	10	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[90,12,9]]	generalized bicycle2D-local bilayer	90	12	d = 9	10.8	0.0045	7	482	1	6	7.28	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[60,8,9]]known params	generalized bicycle2D-local bilayer	60	8	d ≤ 9	10.8	0.016	9	251	1	4	5.1	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[80,6,12]]⚙12	bivariate bicycle	80	6	d ≤ 12	10.8	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[356,4,31]]known params	generalized bicycle	356	4	d ≤ 31	10.798	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[90,8,11]]	generalized bicycle2D-local bilayer	90	8	d = 11	10.756	0.0053	7	502	1	6	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[224,24,10]]known params	generalized bicycle	224	24	d ≤ 10	10.714	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[168,18,10]]	generalized bicycle2D-local bilayer	168	18	d = 10	10.714	0.0064	7	912	1	4	10	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[112,12,10]]known params	2BGA coset	112	12	d = 10	10.714	·	7	·	1	4	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[224,6,20]]known params	bivariate bicycle2D-local bilayer	224	6	d ≤ 20	10.714	0.0064	6	1424	1	6	13	Zijian Liang et al.		2025
★	[[330,2,42]]known params	generalized bicycle	330	2	d ≤ 42	10.691	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[182,6,18]]known params	bivariate bicycle2D-local bilayer	182	6	d ≤ 18	10.681	0.0044	6	1134	1	6	11.7	Zijian Liang et al.		2025
	[[288,48,8]]	bivariate bicycle	288	48	d = 8	10.667	·	10	·	1	4	·	Cruz-Benito et al.		2026-06-01
	[[108,32,6]]⚙3	generalized bicycle	108	32	d ≤ 6	10.667	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[54,16,6]]known params	generalized bicycle2D-local bilayer	54	16	d = 6	10.667	0.0078	18	61	1	4	6.32	Liangdong Lu et al.	GPT-5.6 Luna	2026-08-10
★	[[288,12,16]]	bivariate bicycle2D-local bilayer	288	12	d ≤ 16	10.667	0.0044	6	2043	1	6	11.3	@fullymiddleaged	Claude Opus 5.5	2026-09-27
★	[[300,8,20]]	bivariate bicycle2D-local bilayer	300	8	d ≤ 20	10.667	0.0044	6	1669	1	6	12.5	@vprusso	Claude Fable 5.1	2026-09-22
	[[192,8,16]]known params	bivariate bicycle2D-local bilayer	192	8	d ≤ 16	10.667	0.0053	6	1078	1	6	13	Zijian Liang et al.		2025
★	[[108,8,12]]⚙12	bivariate bicycle	108	8	d ≤ 12	10.667	·	7	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[108,8,12]]	bivariate bicycle	108	8	d = 12	10.667	·	26	·	1	4	·	@mathysrennela	GPT-5.6 Luna	2026-08-18
★	[[48,8,8]]known params	2bga-nonabelian2D-local bilayer	48	8	d ≤ 8	10.667	0.0171	8	180	1	4	4.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[80,34,5]]	other	80	34	d ≤ 5	10.625	·	11	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-18
★	[[96,6,13]]⚙13	bivariate bicycle	96	6	d ≤ 13	10.562	·	8	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[186,10,14]]known params	bivariate bicycle2D-local bilayer	186	10	d ≤ 14	10.538	0.0063	6	1026	1	6	10.2	Zijian Liang et al.		2025
	[[64,42,4]]known params⚙2	other2D-local bilayer	64	42	d = 4	10.5	0.0077	32	56	1	4	5	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
	[[128,21,8]]	generalized bicycle	128	21	d = 8	10.5	·	8	·	1	4	·	@mathysrennela	Xiaomi Mimo-V2.5	2026-07-30
★	[[48,14,6]]⚙4	bivariate bicycle	48	14	d ≤ 6	10.5	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[56,12,7]]known params	generalized bicycle2D-local bilayer	56	12	d ≤ 7	10.5	0.0155	7	263	1	6	4.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[112,6,14]]known params	generalized bicycle2D-local bilayer	112	6	d ≤ 14	10.5	0.0062	7	707	1	6	7.62	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[315,67,7]]known params	check-deletion	315	67	d = 7	10.422	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[280,6,22]]	bivariate bicycle2D-local bilayer	280	6	d ≤ 22	10.371	0.0043	6	1452	1	6	11.8	@vprusso	Claude Fable 5.1	2026-09-22
★	[[70,6,11]]known params	generalized bicycle2D-local bilayer	70	6	d ≤ 11	10.371	0.009	9	392	1	4	6.4	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[500,36,12]]known params	lifted product	500	36	d = 12	10.368	·	7	·	1	6	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
	[[196,56,6]]	other	196	56	d = 6	10.286	·	12	·	1	4	·	@nihoniumqc	GPT-6	2026-10-03
★	[[56,36,4]]known params	other2D-local bilayer	56	36	d = 4	10.286	0.0064	28	35	1	4	5	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
★	[[336,24,12]]	generalized bicycle	336	24	d ≤ 12	10.286	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[42,12,6]]known params	generalized bicycle	42	12	d = 6	10.286	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[315,66,7]]known params	check-deletion	315	66	d = 7	10.267	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[330,69,7]]known params	check-deletion	330	69	d = 7	10.245	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
★	[[250,40,8]]	distance-amplified	250	40	d = 8	10.24	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[288,46,8]]	bivariate bicycle	288	46	d = 8	10.222	·	8	·	1	4	·	Cruz-Benito et al.		2026-06-01
	[[128,13,10]]	generalized bicycle2D-local bilayer	128	13	d = 10	10.156	0.006	8	838	1	4	6.08	@mathysrennela	Xiaomi Mimo-V2.5	2026-07-30
★	[[520,330,4]]	lifted product	520	330	d ≤ 4	10.154	·	12	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[278,44,8]]	distance-amplified	278	44	d = 8	10.129	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[144,18,9]]	bivariate bicycle	144	18	d = 9	10.125	·	8	·	1	4	·	@MathysRennela	Omen Alpha 1.0	2026-09-09
	[[96,12,9]]	generalized bicycle2D-local bilayer	96	12	d = 9	10.125	0.0042	7	610	1	6	7.07	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[640,132,7]]	lifted product	640	132	d ≤ 7	10.106	·	6	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
	[[330,68,7]]known params	check-deletion	330	68	d = 7	10.097	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[96,8,11]]	generalized bicycle2D-local bilayer	96	8	d = 11	10.083	0.0042	7	535	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[390,80,7]]known params	check-deletion	390	80	d = 7	10.051	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
	[[230,16,12]]	bivariate bicycle2D-local bilayer	230	16	d = 12	10.017	0.0073	8	718	1	4	12.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[48,30,4]]known params	other2D-local bilayer	48	30	d = 4	10.0	0.0119	24	27	1	4	3	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
	[[72,20,6]]⚙3	bivariate bicycle	72	20	d ≤ 6	10.0	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[120,12,10]]	generalized bicycle2D-local bilayer	120	12	d = 10	10.0	0.0042	7	720	1	4	8.25	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[60,6,10]]⚙5	bivariate bicycle	60	6	d ≤ 10	10.0	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[146,18,9]]known params	generalized bicycle	146	18	d ≤ 9	9.986	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[154,6,16]]known params	bivariate bicycle2D-local bilayer	154	6	d ≤ 16	9.974	0.0049	6	962	1	6	10.8	Zijian Liang et al.		2025
	[[330,67,7]]known params	check-deletion	330	67	d ≤ 7	9.948	·	8	·	1.14	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[102,6,13]]⚙13	bivariate bicycle	102	6	d ≤ 13	9.941	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[750,152,7]]	topological	750	152	d ≤ 7	9.931	·	5	·	1	10	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[464,32,12]]	distance-amplified	464	32	d ≤ 12	9.931	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[348,24,12]]	distance-amplified	348	24	d = 12	9.931	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[390,79,7]]known params	check-deletion	390	79	d ≤ 7	9.926	·	8	·	1.14	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[98,12,9]]	generalized bicycle2D-local bilayer	98	12	d = 9	9.918	0.0059	7	687	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[294,6,22]]	bivariate bicycle2D-local bilayer	294	6	d ≤ 22	9.878	0.0041	6	1542	1	6	13	@vprusso	Claude Fable 5.1	2026-09-22
★	[[104,4,16]]⚙16	bivariate bicycle	104	4	d ≤ 16	9.846	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[294,8,19]]	generalized bicycle	294	8	d ≤ 19	9.823	·	8	·	1.05	4	·	@FarLab	Gemini 3.1 Pro	2026-07-01
	[[264,8,18]]	bivariate bicycle2D-local bilayer	264	8	d ≤ 18	9.818	0.0041	6	1281	1	6	10.5	@vprusso	Claude Fable 5.1	2026-09-22
★	[[310,2,39]]known params	generalized bicycle	310	2	d ≤ 39	9.813	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
	[[60,12,7]]	bivariate bicycle	60	12	d = 7	9.8	0.014	8	521	1	4	6.32	@mathysrennela	MiMo V2.5	2026-09-15
	[[160,8,14]]	generalized bicycle	160	8	d = 14	9.8	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[236,16,12]]	bivariate bicycle2D-local bilayer	236	16	d = 12	9.763	0.0075	8	724	1	4	12.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[446,68,8]]	distance-amplified	446	68	d ≤ 8	9.758	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[210,8,16]]	generalized bicycle2D-local bilayer	210	8	d ≤ 16	9.752	0.0058	6	1038	1	6	6.32	@FarLab	Claude Fable 5	2026-08-19
★	[[104,6,13]]	generalized bicycle2D-local bilayer	104	6	d = 13	9.75	0.0041	8	712	1	4	7.21	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[312,2,39]]known params	generalized bicycle	312	2	d ≤ 39	9.75	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-22
	[[300,4,27]]	lifted product	300	4	d ≤ 27	9.72	·	9	·	1	4	·	@vprusso	Claude Opus 5	2026-08-06
	[[401,12,18]]	bivariate bicycle2D-local bilayer	401	12	d ≤ 18	9.696	0.0048	8	2651	1.06	4	22.1	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-13
★	[[162,8,14]]known params	bivariate bicycle2D-local bilayer	162	8	d ≤ 14	9.679	0.0058	6	981	1	6	10	Zijian Liang et al.		2025
	[[960,258,6]]	topological	960	258	d ≤ 6	9.675	·	6	·	1.17	10	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[348,2,41]]known params	generalized bicycle	348	2	d ≤ 41	9.661	·	16	·	1.05	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[84,10,9]]	generalized bicycle2D-local bilayer	84	10	d = 9	9.643	0.0115	7	362	1	6	6.32	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[140,6,15]]	generalized bicycle2D-local bilayer	140	6	d ≤ 15	9.643	0.004	7	833	1	4	9.85	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[270,72,6]]known params	bivariate bicycle2D-local bilayer	270	72	d = 6	9.6	0.0047	9	1336	1	4	5.39	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[600,40,12]]known params	lifted product	600	40	d ≤ 12	9.6	·	7	·	1.17	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
★	[[90,24,6]]known params	generalized bicycle	90	24	d = 6	9.6	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[40,24,4]]known params⚙2	other2D-local bilayer	40	24	d = 4	9.6	0.0332	16	12	1	4	4.24	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
	[[300,20,12]]	distance-amplified	300	20	d = 12	9.6	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[60,16,6]]known params	2bga-nonabelian	60	16	d = 6	9.6	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[120,8,12]]known params	bivariate bicycle2D-local bilayer	120	8	d = 12	9.6	0.007	6	642	1	6	9.22	@FarLab	Claude Opus 4.8	2026-06-26
★	[[30,8,6]]⚙3	bivariate bicycle	30	8	d ≤ 6	9.6	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[136,4,18]]	generalized bicycle	136	4	d ≤ 18	9.529	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[168,16,10]]	generalized bicycle2D-local bilayer	168	16	d = 10	9.524	0.004	6	1042	1	6	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[126,12,10]]	bivariate bicycle2D-local bilayer	126	12	d = 10	9.524	0.007	6	625	1	6	8.06	@mathysrennela	MiMo V2.5	2026-09-15
★	[[420,249,4]]	lifted product	420	249	d ≤ 4	9.486	·	12	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
	[[62,12,7]]	generalized bicycle2D-local bilayer	62	12	d = 7	9.484	0.0039	8	277	1	4	6.08	@michelebanfi	GPT-6 Astra	2026-09-08
	[[216,8,16]]	bivariate bicycle2D-local bilayer	216	8	d ≤ 16	9.481	0.0039	6	1538	1	6	9.22	@fullymiddleaged	Claude Opus 5.5	2026-09-27
	[[54,8,8]]known params	generalized bicycle2D-local bilayer	54	8	d ≤ 8	9.481	0.014	9	214	1	4	4.47	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[108,4,16]]	bivariate bicycle	108	4	d ≤ 16	9.481	·	10	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[322,2,39]]known params	generalized bicycle	322	2	d ≤ 39	9.447	·	20	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[84,22,6]]known params	2bga-nonabelian	84	22	d = 6	9.429	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[382,36,10]]	distance-amplified	382	36	d = 10	9.424	·	6	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[170,16,10]]known params	generalized bicycle2D-local bilayer	170	16	d = 10	9.412	0.0056	6	1063	1	6	9.49	@FarLab	Claude Fable 5	2026-08-19
★	[[188,4,21]]	generalized bicycle	188	4	d ≤ 21	9.383	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[384,36,10]]	other	384	36	d = 10	9.375	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-09-30
	[[144,6,15]]known params	bivariate bicycle	144	6	d ≤ 15	9.375	·	8	·	1	4	·	Liangdong Lu et al.		2026-09-06
★	[[618,4,38]]known params	generalized bicycle	618	4	d ≤ 38	9.346	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[252,12,14]]	bivariate bicycle2D-local bilayer	252	12	d ≤ 14	9.333	0.0039	6	1307	1	6	9.54	@vprusso	Claude Fable 5.1	2026-09-22
★	[[126,6,14]]known params	generalized bicycle2D-local bilayer	126	6	d ≤ 14	9.333	0.0081	6	609	1	6	9.22	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[660,24,16]]	generalized bicycle	660	24	d ≤ 16	9.309	·	6	·	1.25	6	·	@vprusso	Claude Fable 5.1	2026-09-20
★	[[78,6,11]]⚙7	bivariate bicycle	78	6	d ≤ 11	9.308	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[172,4,20]]	generalized bicycle	172	4	d ≤ 20	9.302	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[310,20,12]]	generalized bicycle	310	20	d ≤ 12	9.29	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[196,15,11]]	bivariate bicycle2D-local bilayer	196	15	d = 11	9.26	0.0068	8	476	1	4	11.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[564,4,36]]known params	generalized bicycle	564	4	d ≤ 36	9.191	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[168,24,8]]known params	generalized bicycle	168	24	d ≤ 8	9.143	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[84,12,8]]	generalized bicycle2D-local bilayer	84	12	d = 8	9.143	0.0067	7	466	1	6	6.08	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[56,8,8]]	bivariate bicycle2D-local bilayer	56	8	d = 8	9.143	0.0152	8	383	1	4	7.62	@mathysrennela	MiMo V2.5	2026-09-15
	[[168,6,16]]	bivariate bicycle2D-local bilayer	168	6	d ≤ 16	9.143	0.0095	6	608	1	6	8.89	@vprusso	Claude Fable 5.1	2026-09-22
★	[[570,2,51]]known params	generalized bicycle	570	2	d ≤ 51	9.126	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[66,6,10]]	generalized bicycle2D-local bilayer	66	6	d = 10	9.091	0.0066	8	326	1	4	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[176,4,20]]	generalized bicycle	176	4	d ≤ 20	9.091	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[259,12,14]]	tile2D-local bilayer	259	12	d = 14	9.081	0.0045	8	1754	1	4	17	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[384,12,17]]	bivariate bicycle2D-local bilayer	384	12	d ≤ 17	9.031	0.0045	8	2530	1.06	4	19.2	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-09
	[[201,15,11]]	bivariate bicycle2D-local bilayer	201	15	d = 11	9.03	0.0107	8	471	1	4	10.8	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[160,4,19]]	generalized bicycle	160	4	d ≤ 19	9.025	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[96,24,6]]known params	2bga-nonabelian2D-local bilayer	96	24	d = 6	9.0	0.0054	8	634	1	4	6.4	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[32,18,4]]known params	other2D-local bilayer	32	18	d = 4	9.0	0.0533	16	11	1	4	2.83	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
	[[64,16,6]]	2BGA coset2D-local bilayer	64	16	d = 6	9.0	0.0037	10	293	1	4	6.08	@vprusso	Claude Opus 4.8	2026-08-04
★	[[126,14,9]]	generalized bicycle2D-local bilayer	126	14	d = 9	9.0	0.0044	7	886	1	6	8.94	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[56,14,6]]	bivariate bicycle2D-local bilayer	56	14	d = 6	9.0	0.0214	8	355	1	4	7.07	@mathysrennela	MiMo V2.5	2026-09-15
	[[192,12,12]]	bivariate bicycle2D-local bilayer	192	12	d ≤ 12	9.0	0.0059	6	862	1	6	9.54	@vprusso	Claude Fable 5.1	2026-09-22
★	[[72,8,9]]known params	generalized bicycle	72	8	d ≤ 9	9.0	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[54,6,9]]known params	2BGA coset	54	6	d = 9	9.0	0.0133	8	424	1	4	7.81	Lin et al.		2023
	[[196,4,21]]	generalized bicycle	196	4	d ≤ 21	9.0	·	8	·	1.05	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[272,152,4]]	lifted product	272	152	d ≤ 4	8.941	·	10	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
	[[114,6,13]]	generalized bicycle	114	6	d = 13	8.895	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[90,8,10]]	bivariate bicycle2D-local bilayer	90	8	d = 10	8.889	0.0065	6	443	1	6	8.06	Bravyi et al.		2023-08-15
★	[[354,4,28]]known params	bivariate bicycle	354	4	d ≤ 28	8.859	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[340,188,4]]	lifted product	340	188	d ≤ 4	8.847	·	10	·	1	4	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[98,6,12]]known params	bivariate bicycle2D-local bilayer	98	6	d = 12	8.816	0.0068	6	533	1	6	7.21	Zijian Liang et al.		2025
	[[164,4,19]]	generalized bicycle	164	4	d ≤ 19	8.805	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[110,8,11]]	generalized bicycle2D-local bilayer	110	8	d = 11	8.8	0.0037	7	720	1	6	8.49	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[700,6,32]]	bivariate bicycle	700	6	d ≤ 32	8.777	·	6	·	1.06	6	·	@vprusso	Claude Opus 5	2026-09-05
	[[268,12,14]]	tile2D-local bilayer	268	12	d = 14	8.776	0.0043	8	1754	1	4	13.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[73,40,4]]known params	check-deletion2D-local bilayer	73	40	d = 4	8.767	0.0052	28	26	1	4	5.39	@vprusso	Claude Opus 5	2026-09-22
★	[[528,4,34]]	bivariate bicycle	528	4	d ≤ 34	8.758	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-05
★	[[148,4,18]]	generalized bicycle2D-local bilayer	148	4	d ≤ 18	8.757	0.0036	8	1022	1	4	9.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[252,22,10]]known params	2BGA coset	252	22	d = 10	8.73	·	7	·	1	4	·	Rajpurohit et al.	Space Bunny Alpha 1.0	2026-10-12
★	[[66,4,12]]⚙5	bivariate bicycle	66	4	d ≤ 12	8.727	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[90,16,7]]	generalized bicycle2D-local bilayer	90	16	d = 7	8.711	0.0036	7	595	1	6	7.28	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[90,4,14]]⚙14	bivariate bicycle	90	4	d ≤ 14	8.711	·	8	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[90,4,14]]known params	generalized bicycle2D-local bilayer	90	4	d ≤ 14	8.711	0.0054	9	619	1	4	7.21	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[184,4,20]]	generalized bicycle	184	4	d ≤ 20	8.696	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[316,2,37]]known params	generalized bicycle	316	2	d ≤ 37	8.665	·	16	·	1	4	·	@vprusso	Claude Opus 5	2026-09-23
★	[[84,6,11]]	generalized bicycle2D-local bilayer	84	6	d = 11	8.643	0.0063	7	436	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[602,2,51]]known params	generalized bicycle	602	2	d ≤ 51	8.641	·	8	·	1.1	6	·	@vprusso	Claude Opus 5	2026-09-20
	[[96,23,6]]	check-deletion2D-local bilayer	96	23	d = 6	8.625	0.0063	8	378	1	4	5.1	@nihoniumqc	GPT-6	2026-10-01
★	[[42,10,6]]	generalized bicycle2D-local bilayer	42	10	d = 6	8.571	0.0127	8	91	1	4	6.08	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[73,39,4]]known params	check-deletion2D-local bilayer	73	39	d = 4	8.548	0.0053	28	18	1.5	4	7.07	@vprusso	Claude Opus 5	2026-09-21
★	[[240,32,8]]known params	generalized bicycle	240	32	d ≤ 8	8.533	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[120,16,8]]	generalized bicycle2D-local bilayer	120	16	d = 8	8.533	0.0036	7	791	1	6	7.21	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[240,8,16]]	bivariate bicycle2D-local bilayer	240	8	d ≤ 16	8.533	0.0046	6	1078	1	6	8	@vprusso	Claude Fable 5.1	2026-09-22
★	[[60,8,8]]	generalized bicycle	60	8	d = 8	8.533	0.0137	7	459	1	4	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[152,4,18]]	generalized bicycle	152	4	d ≤ 18	8.526	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[318,4,26]]known params	bivariate bicycle	318	4	d ≤ 26	8.503	·	6	·	1	6	·	Zijian Liang et al.	human	2025
★	[[64,34,4]]	other2D-local bilayer	64	34	d = 4	8.5	0.0101	8	100	1	8	5.39	@MathysRennela	MiMo-V2.6-Flash	2026-09-28
★	[[197,26,8]]	distance-amplified	197	26	d = 8	8.447	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[144,76,4]]⚙3	other	144	76	d ≤ 4	8.444	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
	[[222,52,6]]	distance-amplified	222	52	d = 6	8.432	·	9	·	1	4	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[205,12,12]]	bivariate bicycle2D-local bilayer	205	12	d = 12	8.429	0.0042	8	1340	1	4	15.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[140,6,14]]known params	bivariate bicycle2D-local bilayer	140	6	d = 14	8.4	0.0061	6	710	1	6	10.8	Zijian Liang et al.		2025
	[[224,52,6]]	distance-amplified	224	52	d = 6	8.357	·	9	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[180,94,4]]⚙2	other	180	94	d ≤ 4	8.356	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[276,4,24]]known params	bivariate bicycle2D-local bilayer	276	4	d ≤ 24	8.348	0.0041	6	1573	1	6	13.9	Zijian Liang et al.		2025
★	[[60,20,5]]	other2D-local bilayer	60	20	d = 5	8.333	0.0493	8	76	1	4	4.12	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[48,16,5]]⚙4	bivariate bicycle	48	16	d ≤ 5	8.333	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[48,16,5]]	other2D-local bilayer	48	16	d = 5	8.333	0.0099	18	48	1	4	4.47	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
	[[168,14,10]]	generalized bicycle2D-local bilayer	168	14	d = 10	8.333	0.0041	6	1043	1	6	9.85	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[42,14,5]]⚙4	bivariate bicycle	42	14	d ≤ 5	8.333	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[30,10,5]]⚙3	bivariate bicycle	30	10	d ≤ 5	8.333	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[108,4,15]]⚙15	bivariate bicycle	108	4	d ≤ 15	8.333	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[73,38,4]]known params	check-deletion2D-local bilayer	73	38	d = 4	8.329	0.005	28	45	1.5	4	5	@vprusso	Claude Opus 5	2026-09-21
★	[[156,4,18]]	generalized bicycle2D-local bilayer	156	4	d ≤ 18	8.308	0.0041	7	984	1	6	9.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[216,112,4]]	other	216	112	d ≤ 4	8.296	·	12	·	1	4	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
★	[[124,4,16]]	generalized bicycle2D-local bilayer	124	4	d ≤ 16	8.258	0.0049	8	776	1	4	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[128,66,4]]	topological2D-local bilayer	128	66	d = 4	8.25	0.0052	8	396	1	8	8.06	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[96,22,6]]	generalized bicycle2D-local bilayer	96	22	d = 6	8.25	0.0052	8	586	1	4	7	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[780,64,10]]	lifted product	780	64	d ≤ 10	8.205	·	5	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[780,64,10]]	lifted product	780	64	d ≤ 10	8.205	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-18
	[[211,12,12]]	bivariate bicycle2D-local bilayer	211	12	d = 12	8.19	0.004	8	1361	1	4	15.8	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[832,68,10]]	lifted product	832	68	d ≤ 10	8.173	·	5	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[832,68,10]]	lifted product	832	68	d ≤ 10	8.173	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-18
	[[238,6,18]]	bivariate bicycle2D-local bilayer	238	6	d ≤ 18	8.168	0.0044	6	1091	1	6	8.19	@vprusso	Claude Fable 5.1	2026-09-22
★	[[384,196,4]]	topological	384	196	d = 4	8.167	·	12	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
	[[48,8,7]]known params	2bga-nonabelian2D-local bilayer	48	8	d ≤ 7	8.167	0.0204	9	139	1	4	5	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[96,4,14]]known params	2bga-nonabelian2D-local bilayer	96	4	d ≤ 14	8.167	0.0063	8	475	1	4	7.21	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[542,2,47]]known params	generalized bicycle	542	2	d ≤ 47	8.151	·	8	·	1.04	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[936,76,10]]	lifted product	936	76	d ≤ 10	8.12	·	5	·	1	8	·	@hirobumii	GPT-6 Astra +1	2026-10-17
★	[[936,76,10]]	lifted product	936	76	d ≤ 10	8.12	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-18
★	[[160,36,6]]⚙4	lifted product	160	36	d ≤ 6	8.1	·	6	·	1	8	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[60,6,9]]	bivariate bicycle	60	6	d = 9	8.1	0.012	8	484	1	4	7.28	@mathysrennela	MiMo V2.5	2026-09-15
★	[[376,190,4]]	pair-partition CPM	376	190	d = 4	8.085	·	8	·	1	8	·	@MathysRennela	Space Bunny Alpha 1.0	2026-10-01
★	[[124,10,10]]	generalized bicycle2D-local bilayer	124	10	d = 10	8.065	0.0096	6	533	1	6	8.54	@vprusso	Claude Fable 5.1	2026-09-20
★	[[84,4,13]]known params	generalized bicycle2D-local bilayer	84	4	d ≤ 13	8.048	0.0048	9	569	1	4	6.32	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[260,58,6]]	lifted product	260	58	d = 6	8.031	·	6	·	1	8	·	@EshMis	GPT-6	2026-10-02
★	[[180,4,19]]known params	2bga-nonabelian2D-local bilayer	180	4	d ≤ 19	8.022	0.0048	7	1035	1	6	10.3	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[90,20,6]]⚙3	bivariate bicycle	90	20	d ≤ 6	8.0	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[162,16,9]]	generalized bicycle	162	16	d = 9	8.0	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[294,12,14]]	tile2D-local bilayer	294	12	d = 14	8.0	0.004	8	1907	1	4	17.7	@vprusso	Claude Opus 4.8	2026-06-25
★	[[54,12,6]]	generalized bicycle2D-local bilayer	54	12	d = 6	8.0	0.0095	8	197	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[144,8,12]]	bivariate bicycle2D-local bilayer	144	8	d = 12	8.0	0.004	6	968	1	6	9.22	@fullymiddleaged	Claude Opus 5.5	2026-09-28
★	[[36,8,6]]	generalized bicycle2D-local bilayer	36	8	d = 6	8.0	0.0118	8	56	1	4	4.47	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[48,6,8]]known params	2bga-nonabelian2D-local bilayer	48	6	d ≤ 8	8.0	0.02	9	160	1	4	5	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[72,4,12]]known params	2bga-nonabelian2D-local bilayer	72	4	d ≤ 12	8.0	0.0118	8	282	1	4	5.39	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[222,4,21]]known params	2bga-nonabelian	222	4	d ≤ 21	7.946	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[290,64,6]]	pair-partition CPM	290	64	d = 6	7.945	·	10	·	1	4	·	@MathysRennela	Mimo-V2.6-Flash	2026-09-28
★	[[252,20,10]]	generalized bicycle	252	20	d ≤ 10	7.937	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[606,2,49]]known params	generalized bicycle	606	2	d ≤ 49	7.924	·	8	·	1.16	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[150,33,6]]⚙4	lifted product	150	33	d ≤ 6	7.92	·	7	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[62,10,7]]	generalized bicycle2D-local bilayer	62	10	d = 7	7.903	0.0188	7	418	1	4	8.94	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[584,18,16]]	generalized bicycle	584	18	d ≤ 16	7.89	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
	[[96,21,6]]	generalized bicycle2D-local bilayer	96	21	d = 6	7.875	0.0049	8	546	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[246,4,22]]known params	bivariate bicycle2D-local bilayer	246	4	d ≤ 22	7.87	0.0033	6	1459	1	6	13	Zijian Liang et al.		2025
	[[70,22,5]]	generalized bicycle	70	22	d ≤ 5	7.857	·	12	·	1	4	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[51,16,5]]known params	other2D-local bilayer	51	16	d = 5	7.843	0.0116	18	75	1.2	4	6.71	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[204,4,20]]known params	bivariate bicycle2D-local bilayer	204	4	d ≤ 20	7.843	0.0039	6	1395	1	6	11.4	Zijian Liang et al.		2025
	[[200,8,14]]known params	2bga-nonabelian	200	8	d ≤ 14	7.84	·	6	·	1	6	·	Lin et al.	Claude Fable 5.1 (Claude Code)	2023
	[[100,4,14]]	generalized bicycle2D-local bilayer	100	4	d = 14	7.84	0.0033	8	611	1	4	8.94	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[500,39,10]]known params	lifted product	500	39	d ≤ 10	7.8	·	7	·	1.6	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
	[[896,194,6]]	topological	896	194	d ≤ 6	7.795	·	7	·	1.33	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[126,20,7]]known params	generalized bicycle	126	20	d ≤ 7	7.778	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[116,4,15]]	generalized bicycle2D-local bilayer	116	4	d ≤ 15	7.759	0.0046	8	613	1	4	9.49	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[88,4,13]]⚙13	bivariate bicycle	88	4	d ≤ 13	7.682	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[150,32,6]]	topological2D-local bilayer	150	32	d = 6	7.68	0.0046	5	670	1	10	9.22	@msilve160	Claude Sonnet 5	2026-09-19
	[[154,6,14]]	bivariate bicycle2D-local bilayer	154	6	d ≤ 14	7.636	0.005	6	714	1	6	8.72	@vprusso	Claude Fable 5.1	2026-09-22
	[[118,14,8]]⚙4	other	118	14	d ≤ 8	7.593	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
	[[104,4,14]]	generalized bicycle2D-local bilayer	104	4	d = 14	7.538	0.0047	8	530	1	4	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[34,16,4]]⚙3	generalized bicycle	34	16	d ≤ 4	7.529	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[192,4,19]]	generalized bicycle	192	4	d ≤ 19	7.521	·	7	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[350,73,6]]known params	check-deletion	350	73	d ≤ 6	7.509	·	8	·	1.17	6	·	@vprusso	Claude Opus 5	2026-09-22
★	[[80,24,5]]⚙2	bivariate bicycle	80	24	d ≤ 5	7.5	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[96,20,6]]	generalized bicycle2D-local bilayer	96	20	d = 6	7.5	0.0037	7	708	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[48,10,6]]	bivariate bicycle2D-local bilayer	48	10	d = 6	7.5	0.0111	8	158	1	4	5.39	@mathysrennela	MiMo V2.5	2026-09-15
★	[[80,6,10]]	generalized bicycle2D-local bilayer	80	6	d = 10	7.5	0.0055	6	378	1	6	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[120,4,15]]	generalized bicycle2D-local bilayer	120	4	d ≤ 15	7.5	0.0045	7	734	1	6	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[161,12,10]]	bivariate bicycle2D-local bilayer	161	12	d = 10	7.453	0.0037	8	1022	1	4	15.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
★	[[174,4,18]]known params	bivariate bicycle2D-local bilayer	174	4	d ≤ 18	7.448	0.0044	6	1028	1	6	11.2	Zijian Liang et al.		2025
★	[[784,8,27]]	tile2D-local single	784	8	d ≤ 27	7.439	0.116	8	1496	1	4	27.3	@vprusso	GPT-6 (Codex)	2026-10-17
	[[620,18,16]]	generalized bicycle	620	18	d ≤ 16	7.432	·	6	·	1.25	4	·	@vprusso	Claude Fable 5.1	2026-09-20
	[[785,8,27]]	tile2D-local single	785	8	d ≤ 27	7.429	0.116	8	1496	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-17
	[[786,8,27]]	tile2D-local single	786	8	d ≤ 27	7.42	0.116	8	1491	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-15
★	[[330,68,6]]	topological	330	68	d = 6	7.418	·	5	·	1	10	·	@mathysrennela	human	2026-10-10
	[[108,8,10]]	bivariate bicycle2D-local bilayer	108	8	d = 10	7.407	0.0057	6	535	1	6	5.83	Bravyi et al.		2023-08-15
★	[[54,4,10]]⚙10	generalized bicycle	54	4	d ≤ 10	7.407	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[350,72,6]]known params	check-deletion	350	72	d ≤ 6	7.406	·	8	·	1.17	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[936,48,12]]	distance-amplified	936	48	d ≤ 12	7.385	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[78,4,12]]known params	2bga-nonabelian2D-local bilayer	78	4	d ≤ 12	7.385	0.0064	9	434	1	4	6.08	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[163,12,10]]	bivariate bicycle2D-local bilayer	163	12	d = 10	7.362	0.0036	8	1041	1	4	16	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[284,58,6]]	topological	284	58	d = 6	7.352	·	6	·	1	6	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-20
★	[[92,4,13]]	generalized bicycle2D-local bilayer	92	4	d = 13	7.348	0.0046	8	472	1	4	6.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[794,8,27]]	tile2D-local single	794	8	d ≤ 27	7.345	0.115	8	1509	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-14
	[[795,8,27]]	tile2D-local single	795	8	d ≤ 27	7.336	0.115	8	1513	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-14
	[[796,8,27]]	tile2D-local single	796	8	d ≤ 27	7.327	0.115	8	1518	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-13
	[[164,12,10]]	bivariate bicycle2D-local bilayer	164	12	d = 10	7.317	0.0036	8	1042	1	4	14	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[797,8,27]]	tile2D-local single	797	8	d ≤ 27	7.317	0.114	8	1519	1	4	28.8	@vprusso	GPT-6 (Codex)	2026-10-13
	[[798,8,27]]	tile2D-local single	798	8	d ≤ 27	7.308	0.114	8	1524	1.04	4	28.8	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-13
	[[350,71,6]]known params	check-deletion	350	71	d ≤ 6	7.303	·	8	·	1.33	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[799,8,27]]	tile2D-local single	799	8	d ≤ 27	7.299	0.114	8	1529	1	4	28.8	@DennisWayo	GPT-5 (Codex)	2026-10-11
	[[800,8,27]]	tile2D-local single	800	8	d ≤ 27	7.29	0.114	8	1530	1	4	28.8	@MicheldeMessieres	Claude Opus 5.5 (Claude Code)	2026-10-08
	[[216,8,14]]	bivariate bicycle2D-local bilayer	216	8	d ≤ 14	7.259	0.003	6	1102	1	6	10.1	@vprusso	Claude Fable 5.1	2026-09-22
★	[[108,4,14]]⚙14	bivariate bicycle	108	4	d ≤ 14	7.259	·	7	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[239,12,12]]	bivariate bicycle2D-local bilayer	239	12	d = 12	7.23	0.0036	8	1530	1	4	15.1	@mathysrennela	GLM 5.3 Flash +1	2026-09-15
★	[[90,26,5]]⚙2	generalized bicycle	90	26	d ≤ 5	7.222	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[40,18,4]]⚙2	bivariate bicycle	40	18	d ≤ 4	7.2	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[240,12,12]]	2BGA coset	240	12	d = 12	7.2	·	6	·	1	6	·	@vprusso	Claude Opus 4.8	2026-07-31
	[[60,12,6]]known params	balanced product2D-local bilayer	60	12	d = 6	7.2	0.0142	9	320	1	4	6.71	@yifanhong	GPT 5.6 Sol	2026-08-02
	[[80,9,8]]known params	2BGA coset2D-local bilayer	80	9	d = 8	7.2	0.0092	8	335	1.12	4	5.57	Lin et al.		2023
	[[80,4,12]]	generalized bicycle2D-local bilayer	80	4	d = 12	7.2	0.003	8	443	1	4	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[119,34,5]]	topological2D-local bilayer	119	34	d = 5	7.143	0.0052	6	419	1	10	8.06	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[56,16,5]]	generalized bicycle2D-local bilayer	56	16	d = 5	7.143	0.0052	8	228	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[168,12,10]]	bivariate bicycle2D-local bilayer	168	12	d = 10	7.143	0.003	6	1270	1	6	9.9	@fullymiddleaged	Claude Opus 5.5	2026-09-29
★	[[42,12,5]]⚙4	generalized bicycle	42	12	d ≤ 5	7.143	·	8	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[140,10,10]]	generalized bicycle	140	10	d = 10	7.143	·	8	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-18
	[[84,6,10]]known params	bivariate bicycle2D-local bilayer	84	6	d = 10	7.143	0.0114	6	335	1	6	7.28	Zijian Liang et al.		2025
	[[126,4,15]]	generalized bicycle2D-local bilayer	126	4	d ≤ 15	7.143	0.003	7	747	1	6	10	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[56,4,10]]	generalized bicycle2D-local bilayer	56	4	d = 10	7.143	0.0052	8	220	1	4	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[242,12,12]]	bivariate bicycle2D-local bilayer	242	12	d = 12	7.14	0.0035	8	1554	1.08	4	18.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-08-07
★	[[68,4,11]]	generalized bicycle2D-local bilayer	68	4	d = 11	7.118	0.0052	8	357	1	4	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[54,24,4]]⚙2	bivariate bicycle	54	24	d ≤ 4	7.111	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[36,16,4]]known params⚙2	other2D-local bilayer	36	16	d = 4	7.111	0.0246	12	21	1	4	2	@MathysRennela et al.	MiMo-V2.6-Flash	2026-10-06
★	[[72,8,8]]known params	generalized bicycle2D-local bilayer	72	8	d = 8	7.111	0.0105	6	296	1	6	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[144,4,16]]	generalized bicycle2D-local bilayer	144	4	d ≤ 16	7.111	0.0035	6	962	1	6	9.43	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[120,34,5]]	topological2D-local bilayer	120	34	d = 5	7.083	0.0052	6	429	1.2	10	7.21	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[510,4,30]]	bivariate bicycle	510	4	d ≤ 30	7.059	·	6	·	1	6	·	@diogoff	GPT-5.6 Luna	2026-09-27
★	[[709,8,25]]	tile2D-local single	709	8	d ≤ 25	7.052	0.11	8	1348	1	4	25.6	@vprusso	GPT-6 (Codex)	2026-10-16
	[[710,8,25]]	tile2D-local single	710	8	d ≤ 25	7.042	0.11	8	1352	1	4	25.6	@vprusso	GPT-6 (Codex)	2026-10-16
★	[[96,4,13]]	generalized bicycle2D-local bilayer	96	4	d = 13	7.042	0.0044	7	573	1	6	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[50,22,4]]	local-sat-css2D-local bilayer	50	22	d = 4	7.04	0.0069	8	118	1	4	4.24	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[711,8,25]]	tile2D-local single	711	8	d ≤ 25	7.032	0.11	8	1352	1	4	25.6	@vprusso	GPT-6 (Codex)	2026-10-16
	[[712,8,25]]	tile2D-local single	712	8	d ≤ 25	7.022	0.11	8	1355	1	4	25.6	@vprusso	GPT-6 (Codex)	2026-10-16
★	[[434,2,39]]known params	generalized bicycle	434	2	d ≤ 39	7.009	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[100,28,5]]	generalized bicycle2D-local bilayer	100	28	d = 5	7.0	0.0068	8	373	1	4	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[126,18,7]]	generalized bicycle2D-local bilayer	126	18	d = 7	7.0	0.0029	7	797	1	4	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[32,14,4]]	local-sat-css2D-local bilayer	32	14	d = 4	7.0	0.0216	8	32	1	4	3.16	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[42,6,7]]	generalized bicycle2D-local bilayer	42	6	d = 7	7.0	0.0054	7	121	1	4	6.32	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[717,8,25]]	tile2D-local single	717	8	d ≤ 25	6.974	0.109	8	1370	1	4	25.6	@vprusso	GPT-6 (Codex)	2026-10-16
★	[[70,6,9]]	generalized bicycle2D-local bilayer	70	6	d = 9	6.943	0.0054	7	302	1	4	7.21	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[722,8,25]]	tile2D-local single	722	8	d ≤ 25	6.925	0.108	8	1377	1.04	4	25.6	@fullymiddleaged	Claude Opus 5.5	2026-10-16
	[[546,236,4]]	topological	546	236	d = 4	6.916	·	7	·	1	8	·	@mathysrennela	human	2026-10-10
	[[281,121,4]]	hypergraph product	281	121	d = 4	6.89	·	21	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
★	[[378,26,10]]	generalized bicycle	378	26	d ≤ 10	6.878	·	6	·	1	8	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[114,4,14]]known params	bivariate bicycle2D-local bilayer	114	4	d = 14	6.877	0.005	6	581	1	6	9.85	Zijian Liang et al.		2025
★	[[112,12,8]]	generalized bicycle2D-local bilayer	112	12	d = 8	6.857	0.0053	6	522	1	6	7.07	@vprusso	Claude Fable 5.1	2026-09-20
	[[42,8,6]]	generalized bicycle2D-local bilayer	42	8	d = 6	6.857	0.005	8	101	1	4	6.08	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[56,6,8]]	generalized bicycle2D-local bilayer	56	6	d = 8	6.857	0.0326	6	254	1	6	7.07	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[84,4,12]]known params	generalized bicycle	84	4	d ≤ 12	6.857	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[444,2,39]]known params	generalized bicycle	444	2	d ≤ 39	6.851	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[150,16,8]]known params	bivariate bicycle2D-local bilayer	150	16	d = 8	6.827	0.0041	6	840	1	6	8.49	@mathysrennela	MiMo V2.5	2026-09-15
	[[132,4,15]]	generalized bicycle2D-local bilayer	132	4	d ≤ 15	6.818	0.0034	7	823	1.07	6	9.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[360,152,4]]	topological	360	152	d = 4	6.756	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
★	[[360,38,8]]	topological2D-local bilayer	360	38	d = 8	6.756	0.0028	5	1712	1	8	10	@msilve160	Claude Sonnet 5	2026-09-19
★	[[624,52,9]]	lifted product	624	52	d ≤ 9	6.75	·	5	·	1.11	8	·	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-16
★	[[72,6,9]]	generalized bicycle2D-local bilayer	72	6	d = 9	6.75	0.008	6	330	1	6	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[32,6,6]]	generalized bicycle2D-local bilayer	32	6	d = 6	6.75	0.0399	8	68	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[190,20,8]]	other2D-local bilayer	190	20	d = 8	6.737	0.0033	6	1201	1	6	11.2	@FarLab	Claude Fable 5.1	2026-09-30
★	[[576,242,4]]	topological	576	242	d = 4	6.722	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
★	[[72,4,11]]known params	generalized bicycle	72	4	d ≤ 11	6.722	·	7	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[720,302,4]]known params	topological	720	302	d = 4	6.711	·	8	·	1	8	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
	[[179,12,10]]	bivariate bicycle2D-local bilayer	179	12	d = 10	6.704	0.0033	8	1125	1	4	16	@mathysrennela	GLM 5.3 Flash +1	2026-09-15
★	[[96,40,4]]⚙2	bivariate bicycle	96	40	d ≤ 4	6.667	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[192,20,8]]	generalized bicycle2D-local bilayer	192	20	d = 8	6.667	0.0033	6	1187	1	8	9.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[48,20,4]]⚙2	bivariate bicycle	48	20	d ≤ 4	6.667	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[294,10,14]]	bivariate bicycle2D-local bilayer	294	10	d ≤ 14	6.667	0.0028	6	1517	1	4	12.5	@vprusso	Claude Fable 5.1	2026-09-22
★	[[24,10,4]]	generalized bicycle2D-local bilayer	24	10	d = 4	6.667	0.0667	8	23	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[30,8,5]]known params	generalized bicycle2D-local bilayer	30	8	d = 5	6.667	0.0394	9	44	1	4	3	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[368,2,35]]known params	generalized bicycle	368	2	d ≤ 35	6.658	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[41,17,4]]known params	check-deletion2D-local bilayer	41	17	d = 4	6.634	0.0048	21	14	1	4	4.47	@vprusso	Claude Opus 5	2026-09-21
	[[782,36,12]]	distance-amplified	782	36	d ≤ 12	6.629	·	6	·	1.33	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[660,68,8]]	topological	660	68	d ≤ 8	6.594	·	5	·	1.25	8	·	@msilve160	Claude Sonnet 5	2026-09-19
	[[183,12,10]]	bivariate bicycle2D-local bilayer	183	12	d = 10	6.557	0.0032	8	1150	1.1	4	16	@MathysRennela	DeepSeek V4 Flash 0731	2026-08-07
	[[330,60,6]]	distance-amplified	330	60	d = 6	6.545	·	7	·	1	4	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[88,4,12]]	generalized bicycle2D-local bilayer	88	4	d = 12	6.545	0.0048	6	426	1	6	8.25	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[240,8,14]]	2BGA coset	240	8	d ≤ 14	6.533	·	6	·	1	6	·	@vprusso	Claude Opus 4.8	2026-07-31
★	[[648,8,23]]	tile2D-local single	648	8	d ≤ 23	6.531	0.102	8	1232	1.09	4	27.5	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[492,8,20]]	bivariate bicycle2D-local single	492	8	d ≤ 20	6.504	0.102	8	903	1	4	20	@MathysRennela	Mimo-V2.6-Flash	2026-10-16
★	[[422,2,37]]known params	generalized bicycle	422	2	d ≤ 37	6.488	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-20
★	[[54,14,5]]	generalized bicycle2D-local bilayer	54	14	d = 5	6.481	0.0096	8	170	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[316,8,16]]	tile2D-local single	316	8	d ≤ 16	6.481	0.101	8	589	1	4	17.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[547,8,21]]	tile2D-local single	547	8	d ≤ 21	6.45	0.101	8	1022	1	4	23	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[280,8,15]]	tile2D-local single	280	8	d = 15	6.429	0.1	8	525	1	4	16.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[360,8,17]]	tile2D-local single	360	8	d ≤ 17	6.422	0.1	8	654	1	4	17.8	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[168,22,7]]	generalized bicycle2D-local bilayer	168	22	d = 7	6.417	0.0027	7	1021	1	6	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[404,8,18]]	tile2D-local single	404	8	d ≤ 18	6.416	0.1	8	743	1	4	20.1	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[240,24,8]]	generalized bicycle	240	24	d ≤ 8	6.4	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[40,16,4]]known params	generalized bicycle	40	16	d = 4	6.4	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[30,12,4]]⚙3	bivariate bicycle	30	12	d ≤ 4	6.4	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[80,8,8]]known params	2BGA coset	80	8	d = 8	6.4	·	8	·	1	4	·	Lin et al.		2023
	[[80,8,8]]	quantum Tanner	80	8	d = 8	6.4	·	8	·	1	4	·	@aarontrowbridge	Muse Spark 1.2	2026-08-10
★	[[20,8,4]]known params	other2D-local single	20	8	d = 4	6.4	0.151	10	20	1	4	4.47	@EthanFeld	GPT-5.6 Luna	2026-09-10
	[[90,4,12]]	generalized bicycle2D-local bilayer	90	4	d = 12	6.4	0.0047	6	451	1	6	8.94	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[40,4,8]]	generalized bicycle2D-local bilayer	40	4	d = 8	6.4	0.0198	8	101	1	4	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[452,2,38]]known params	generalized bicycle	452	2	d ≤ 38	6.389	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[124,22,6]]	distance-amplified2D-local bilayer	124	22	d = 6	6.387	0.0047	7	578	1	6	8.06	@MathysRennela		2026-09-30
★	[[534,2,41]]known params	generalized bicycle	534	2	d ≤ 41	6.296	·	8	·	1	4	·	@vprusso	Claude Opus 5	2026-09-20
	[[510,32,10]]	generalized bicycle	510	32	d ≤ 10	6.275	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
	[[511,8,20]]	tile2D-local single	511	8	d ≤ 20	6.262	0.0978	8	961	1.05	4	23.5	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[230,40,6]]	distance-amplified2D-local bilayer	230	40	d = 6	6.261	0.0031	7	1253	1	4	5.1	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[80,20,5]]	generalized bicycle2D-local bilayer	80	20	d = 5	6.25	0.0074	8	289	1	4	6.08	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[512,8,20]]	bivariate bicycle2D-local single	512	8	d ≤ 20	6.25	0.0977	8	966	1.1	4	24.7	@MathysRennela	Beam 1.0	2026-10-18
	[[288,8,15]]	tile2D-local single	288	8	d = 15	6.25	0.0977	8	530	1	4	19.4	@fullymiddleaged	Claude Opus 5.5	2026-10-01
	[[41,16,4]]	other2D-local bilayer	41	16	d = 4	6.244	0.0046	21	9	1	4	6	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[52,4,9]]	generalized bicycle2D-local bilayer	52	4	d = 9	6.231	0.0048	8	223	1	4	6.08	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[546,34,10]]	generalized bicycle	546	34	d ≤ 10	6.227	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
	[[336,58,6]]	topological	336	58	d ≤ 6	6.214	·	6	·	1.33	8	·	@msilve160	Claude Sonnet 5	2026-09-19
★	[[330,2,32]]known params	generalized bicycle	330	2	d ≤ 32	6.206	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[78,4,11]]	generalized bicycle2D-local bilayer	78	4	d = 11	6.205	0.0045	7	367	1	4	7.28	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[280,12,12]]	bivariate bicycle2D-local bilayer	280	12	d ≤ 12	6.171	0.0026	6	1411	1	6	8.54	@vprusso	Claude Fable 5.1	2026-09-22
	[[578,8,21]]	tile2D-local single	578	8	d ≤ 21	6.104	0.0954	8	1095	1.1	4	25.3	@fullymiddleaged	Claude Opus 5.5	2026-10-16
★	[[31,21,3]]	other	31	21	d ≤ 3	6.097	·	16	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-20
	[[249,42,6]]	distance-amplified	249	42	d ≤ 6	6.072	·	7	·	1.33	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[66,4,10]]	generalized bicycle2D-local bilayer	66	4	d = 10	6.061	0.0097	6	212	1	4	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[338,8,16]]	tile2D-local single	338	8	d ≤ 16	6.059	0.0947	8	627	1	4	17	@fullymiddleaged	Claude Opus 5.5	2026-10-01
★	[[112,4,13]]	generalized bicycle2D-local bilayer	112	4	d = 13	6.036	0.0047	6	523	1	6	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[443,74,6]]	distance-amplified	443	74	d = 6	6.014	·	7	·	1	6	·	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[240,90,4]]known params	generalized bicycle2D-local bilayer	240	90	d = 4	6.0	0.0044	8	803	1	4	4.12	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[96,36,4]]known params	2bga-nonabelian2D-local bilayer	96	36	d = 4	6.0	0.0089	8	270	1	4	4	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[100,24,5]]	generalized bicycle2D-local bilayer	100	24	d = 5	6.0	0.0044	8	425	1	4	5.39	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[48,18,4]]⚙3	bivariate bicycle	48	18	d ≤ 4	6.0	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[48,18,4]]known params	check-deletion2D-local bilayer	48	18	d = 4	6.0	0.0089	18	49	1.25	4	4.47	@vprusso	Claude Opus 5	2026-09-21
★	[[96,16,6]]	generalized bicycle2D-local bilayer	96	16	d = 6	6.0	0.0044	6	566	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[84,14,6]]known params	2bga-nonabelian	84	14	d = 6	6.0	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[72,12,6]]⚙6	bivariate bicycle2D-local bilayer	72	12	d = 6	6.0	0.0136	6	243	1	6	5	Bravyi et al.		2023-08-15
★	[[48,8,6]]	generalized bicycle2D-local bilayer	48	8	d = 6	6.0	0.0089	7	157	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[64,6,8]]	generalized bicycle	64	6	d = 8	6.0	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[16,6,4]]known params	other2D-local single	16	6	d = 4	6.0	0.359	8	8	1	4	3.85	@FarLab	Claude Opus 5	2026-07-25
	[[216,4,18]]	bivariate bicycle2D-local bilayer	216	4	d ≤ 18	6.0	0.0025	6	1416	1	6	10.8	@fullymiddleaged	Claude Opus 5.5	2026-09-30
	[[96,4,12]]known params	bivariate bicycle2D-local bilayer	96	4	d = 12	6.0	0.0071	6	458	1	6	8.06	Zijian Liang et al.		2025
★	[[54,4,9]]	generalized bicycle2D-local bilayer	54	4	d = 9	6.0	0.0119	7	386	1	4	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[300,2,30]]known params	generalized bicycle	300	2	d ≤ 30	6.0	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[300,28,8]]	lifted product	300	28	d = 8	5.973	·	7	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
★	[[490,13,15]]	bivariate bicycle2D-local bilayer	490	13	d ≤ 15	5.969	0.0029	6	1400	1	4	24.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-07
★	[[42,10,5]]	generalized bicycle2D-local bilayer	42	10	d = 5	5.952	0.0043	7	124	1	4	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[54,20,4]]known params⚙4LER record	topological2D-local bilayer	54	20	d = 4	5.926	0.0058	6	173	1	8	5.1	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[438,18,12]]	generalized bicycle	438	18	d ≤ 12	5.918	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
★	[[220,52,5]]known params	2bga-nonabelian2D-local bilayer	220	52	d = 5	5.909	0.0058	8	977	1	4	3.61	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[60,22,4]]	topological2D-local bilayer	60	22	d = 4	5.867	0.0203	6	117	1	8	4.47	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[468,2,37]]known params	generalized bicycle	468	2	d ≤ 37	5.85	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[214,2,25]]known params	generalized bicycle	214	2	d ≤ 25	5.841	·	8	·	1	6	·	@seunomonije	exhaustive verification (exhaustive-qec verifier 0.1.0)	2026-08-14
	[[74,12,6]]⚙3	other	74	12	d ≤ 6	5.838	·	7	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[62,10,6]]known params⚙6	bivariate bicycle2D-local bilayer	62	10	d = 6	5.806	0.0344	6	148	1	6	6	Zijian Liang et al.		2025
	[[72,26,4]]	generalized bicycle2D-local bilayer	72	26	d = 4	5.778	0.0092	8	137	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[84,4,11]]	generalized bicycle2D-local bilayer	84	4	d = 11	5.762	0.0044	6	427	1	6	7.07	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[50,18,4]]known params	generalized bicycle2D-local bilayer	50	18	d = 4	5.76	0.0144	8	119	1	4	4.47	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[25,9,4]]	other2D-local single	25	9	d = 4	5.76	0.09	8	27	1	4	4.47	@MathysRennela	MiMo-V2.6-Flash	2026-09-25
	[[210,12,10]]	generalized bicycle	210	12	d = 10	5.714	·	6	·	1	6	·	@FarLab	Claude Fable 5	2026-08-19
	[[252,10,12]]	bivariate bicycle2D-local bilayer	252	10	d ≤ 12	5.714	0.0024	6	1271	1	6	7.81	@vprusso	Claude Fable 5.1	2026-09-22
	[[45,16,4]]known params	other2D-local bilayer	45	16	d = 4	5.689	0.0084	21	20	1.25	4	4.47	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[96,34,4]]known params	topological2D-local bilayer	96	34	d = 4	5.667	0.0067	6	255	1	8	4.12	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[48,17,4]]known params	check-deletion2D-local bilayer	48	17	d = 4	5.667	0.0067	18	55	1.25	4	5.39	@vprusso	Claude Opus 5	2026-09-21
★	[[80,18,5]]	topological2D-local bilayer	80	18	d = 5	5.625	0.0141	5	206	1	10	4.47	@msilve160	Claude Sonnet 5	2026-09-19
★	[[391,13,13]]	bivariate bicycle2D-local bilayer	391	13	d = 13	5.619	0.0041	6	1078	1	4	19.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-08
	[[570,2,40]]known params	generalized bicycle	570	2	d ≤ 40	5.614	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[400,35,8]]	lifted product	400	35	d = 8	5.6	·	7	·	1	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
	[[40,14,4]]	bivariate bicycle2D-local bilayer	40	14	d = 4	5.6	0.0173	8	96	1	4	3.16	@mathysrennela	MiMo V2.5	2026-09-15
	[[116,18,6]]⚙3	other	116	18	d ≤ 6	5.586	·	7	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[288,4,20]]known params	generalized bicycle	288	4	d ≤ 20	5.556	·	5	·	1	8	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[72,4,10]]	generalized bicycle2D-local bilayer	72	4	d = 10	5.556	0.0082	6	282	1	6	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[624,54,8]]	lifted product	624	54	d ≤ 8	5.538	·	5	·	1	8	·	@msilve160	Claude Sonnet 5	2026-09-19
	[[416,36,8]]	lifted product	416	36	d ≤ 8	5.538	·	5	·	1	8	·	@msilve160	Claude Sonnet 5	2026-09-19
	[[64,22,4]]	generalized bicycle2D-local bilayer	64	22	d = 4	5.5	0.0065	8	241	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[70,6,8]]known params	bivariate bicycle2D-local bilayer	70	6	d = 8	5.486	0.0027	6	202	1	4	6.4	Zijian Liang et al.		2025
	[[401,13,13]]	bivariate bicycle2D-local bilayer	401	13	d ≤ 13	5.479	0.0047	6	1097	1	4	22.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
	[[315,69,5]]known params	check-deletion	315	69	d ≤ 5	5.476	·	8	·	1.4	4	·	@vprusso	Claude Opus 5	2026-09-22
★	[[264,4,19]]known params	generalized bicycle	264	4	d ≤ 19	5.47	·	5	·	1	8	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[585,355,3]]	other	585	355	d ≤ 3	5.462	·	32	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
★	[[270,30,7]]	bivariate bicycle2D-local bilayer	270	30	d = 7	5.444	0.0053	6	983	1	6	5.39	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[234,26,7]]	bivariate bicycle2D-local bilayer	234	26	d = 7	5.444	0.0047	6	867	1	6	4.47	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[216,24,7]]	bivariate bicycle	216	24	d ≤ 7	5.444	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[198,22,7]]⚙6	2BGA coset	198	22	d ≤ 7	5.444	·	6	·	1	6	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[180,20,7]]	generalized bicycle2D-local bilayer	180	20	d = 7	5.444	0.0087	6	544	1	6	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[162,18,7]]⚙6	bivariate bicycle	162	18	d ≤ 7	5.444	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[144,16,7]]	generalized bicycle2D-local bilayer	144	16	d = 7	5.444	0.0087	6	389	1	6	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[126,14,7]]⚙5	bivariate bicycle	126	14	d ≤ 7	5.444	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
★	[[108,12,7]]	generalized bicycle2D-local bilayer	108	12	d = 7	5.444	0.0087	6	306	1	6	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[90,10,7]]	generalized bicycle2D-local bilayer	90	10	d = 7	5.444	0.0081	6	321	1	6	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[72,8,7]]known params	2BGA coset2D-local bilayer	72	8	d = 7	5.444	0.0087	6	192	1	6	5	@vprusso	Claude Opus 4.8	2026-08-04
★	[[54,6,7]]known params	generalized bicycle2D-local bilayer	54	6	d = 7	5.444	0.0047	6	255	1	6	5.39	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[36,4,7]]⚙5	bivariate bicycle	36	4	d ≤ 7	5.444	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[520,44,8]]	lifted product	520	44	d ≤ 8	5.415	·	5	·	1	8	·	@msilve160	Claude Sonnet 5	2026-09-19
	[[690,46,9]]	bivariate bicycle	690	46	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[660,44,9]]	bivariate bicycle	660	44	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[600,40,9]]	bivariate bicycle	600	40	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[570,38,9]]	bivariate bicycle	570	38	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[540,36,9]]	bivariate bicycle	540	36	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[510,34,9]]	bivariate bicycle	510	34	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[480,32,9]]	bivariate bicycle	480	32	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[450,30,9]]	bivariate bicycle	450	30	d ≤ 9	5.4	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[390,26,9]]	bivariate bicycle2D-local bilayer	390	26	d ≤ 9	5.4	0.0027	6	2163	1	6	8.49	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[330,22,9]]	bivariate bicycle2D-local bilayer	330	22	d ≤ 9	5.4	0.0027	6	1709	1	6	5.83	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[270,18,9]]	bivariate bicycle2D-local bilayer	270	18	d = 9	5.4	0.0032	6	1376	1	6	5.39	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[40,6,6]]	bivariate bicycle2D-local bilayer	40	6	d = 6	5.4	0.054	8	49	1	4	4.47	@mathysrennela	MiMo V2.5	2026-09-15
★	[[240,4,18]]known params	generalized bicycle	240	4	d ≤ 18	5.4	·	5	·	1	8	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[60,4,9]]	generalized bicycle2D-local bilayer	60	4	d = 9	5.4	0.0128	6	409	1	6	7.21	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[315,68,5]]known params	check-deletion	315	68	d ≤ 5	5.397	·	8	·	1.4	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[546,46,8]]	lifted product	546	46	d ≤ 8	5.392	·	5	·	1	8	·	@msilve160	Claude Sonnet 5	2026-09-19
★	[[228,34,6]]	distance-amplified2D-local bilayer	228	34	d = 6	5.368	0.0032	7	982	1	4	8.54	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[620,13,16]]	bivariate bicycle2D-local bilayer	620	13	d ≤ 16	5.368	0.0064	6	1771	1	4	27.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-07
★	[[28,6,5]]known params	generalized bicycle2D-local bilayer	28	6	d = 5	5.357	0.0317	9	43	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[37,22,3]]⚙2	other	37	22	d ≤ 3	5.351	·	20	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[360,77,5]]known params	check-deletion	360	77	d ≤ 5	5.347	·	8	·	1.4	6	·	@vprusso	Claude Opus 5	2026-09-22
	[[548,13,15]]	bivariate bicycle2D-local bilayer	548	13	d ≤ 15	5.338	0.0033	6	1561	1	4	25.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
★	[[312,104,4]]known params	generalized bicycle2D-local bilayer	312	104	d = 4	5.333	0.0026	9	1639	1	4	5.83	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[264,88,4]]known params	generalized bicycle2D-local bilayer	264	88	d = 4	5.333	0.0039	9	1033	1	4	5.1	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[252,84,4]]known params	generalized bicycle2D-local bilayer	252	84	d = 4	5.333	0.0052	9	865	1	4	4.47	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[72,24,4]]⚙3	local-sat-css2D-local bilayer	72	24	d = 4	5.333	0.0046	8	224	1	4	4.24	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-28
	[[300,16,10]]	bivariate bicycle2D-local bilayer	300	16	d = 10	5.333	0.0022	6	1665	1	6	2.65	@vprusso	Claude Fable 5.1	2026-09-22
	[[192,16,8]]	bivariate bicycle2D-local bilayer	192	16	d = 8	5.333	0.0035	6	880	1	6	7.81	@vprusso	Claude Fable 5.1	2026-09-22
★	[[36,12,4]]	local-sat-css2D-local single	36	12	d = 4	5.333	0.0833	8	32	1	4	4.47	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
★	[[54,8,6]]known params⚙6	bivariate bicycle2D-local bilayer	54	8	d = 6	5.333	0.0208	6	230	1	4	7.21	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[288,6,16]]known params	2bga-nonabelian	288	6	d ≤ 16	5.333	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[192,4,16]]known params	generalized bicycle2D-local bilayer	192	4	d ≤ 16	5.333	0.0032	5	1048	1	8	11	@natestemen	GPT-6	2026-09-18
★	[[48,4,8]]known params⚙8	bivariate bicycle2D-local bilayer	48	4	d = 8	5.333	0.0046	6	126	1	4	3.61	Zijian Liang et al.		2025
	[[315,67,5]]known params	check-deletion	315	67	d ≤ 5	5.317	·	8	·	1.6	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[166,2,21]]	generalized bicycle	166	2	d ≤ 21	5.313	·	8	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[357,210,3]]	other	357	210	d ≤ 3	5.294	·	24	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
★	[[399,234,3]]	other	399	234	d ≤ 3	5.278	·	24	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
	[[360,76,5]]known params	check-deletion	360	76	d ≤ 5	5.278	·	8	·	1.4	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[76,4,10]]	generalized bicycle2D-local bilayer	76	4	d = 10	5.263	0.0063	6	311	1	6	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[184,2,22]]	generalized bicycle	184	2	d ≤ 22	5.261	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[483,282,3]]	other	483	282	d ≤ 3	5.255	·	24	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-16
	[[56,6,7]]known params	2BGA coset2D-local bilayer	56	6	d = 7	5.25	0.0026	6	291	1	6	6.71	@vprusso and @mathysrennela	Claude Opus 4.8	2026-08-04
	[[315,66,5]]known params	check-deletion	315	66	d ≤ 5	5.238	·	8	·	1.6	4	·	@vprusso	Claude Opus 5	2026-09-21
★	[[202,2,23]]	generalized bicycle	202	2	d ≤ 23	5.238	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[609,354,3]]	other	609	354	d ≤ 3	5.232	·	24	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-16
★	[[300,8,14]]known params	2bga-nonabelian	300	8	d ≤ 14	5.227	·	5	·	1	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[738,4,31]]known params	generalized bicycle	738	4	d ≤ 31	5.209	·	5	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[302,2,28]]known params	generalized bicycle	302	2	d ≤ 28	5.192	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
	[[326,2,29]]known params	generalized bicycle	326	2	d ≤ 29	5.16	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
★	[[441,252,3]]	other	441	252	d ≤ 3	5.143	·	24	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-16
	[[350,72,5]]known params	check-deletion	350	72	d ≤ 5	5.143	·	8	·	1.4	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[196,28,6]]	generalized bicycle2D-local bilayer	196	28	d = 6	5.143	0.0082	6	614	1	6	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[168,24,6]]	generalized bicycle2D-local bilayer	168	24	d = 6	5.143	0.0082	6	442	1	6	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[140,20,6]]	generalized bicycle2D-local bilayer	140	20	d = 6	5.143	0.0159	6	297	1	6	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[126,18,6]]⚙4	2BGA coset	126	18	d ≤ 6	5.143	·	6	·	1	6	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[112,16,6]]	generalized bicycle2D-local bilayer	112	16	d = 6	5.143	0.0129	6	223	1	6	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[98,14,6]]	generalized bicycle2D-local bilayer	98	14	d = 6	5.143	0.0159	6	179	1	6	4.12	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[70,10,6]]⚙4	other	70	10	d ≤ 6	5.143	·	6	·	1	6	·	@MathysRennela	Beam 1.0	2026-10-18
★	[[42,6,6]]known params	generalized bicycle2D-local bilayer	42	6	d = 6	5.143	0.0076	6	107	1	6	6.32	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[42,6,6]]	generalized bicycle2D-local bilayer	42	6	d = 6	5.143	0.0178	6	110	1	4	5.39	@RexRowan	Claude Sonnet 5	2026-09-19
★	[[28,4,6]]⚙4	bivariate bicycle	28	4	d ≤ 6	5.143	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[78,4,10]]known params	bivariate bicycle2D-local bilayer	78	4	d = 10	5.128	0.0158	6	229	1	4	6	Zijian Liang et al.		2025
	[[328,2,29]]known params	generalized bicycle	328	2	d ≤ 29	5.128	·	8	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
	[[172,2,21]]	generalized bicycle	172	2	d ≤ 21	5.128	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[50,16,4]]	local-sat-css2D-local bilayer	50	16	d = 4	5.12	0.005	6	117	1	4	5	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[37,21,3]]	check-deletion2D-local bilayer	37	21	d = 3	5.108	0.0128	20	14	1	4	3.61	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[454,8,17]]	bivariate bicycle2D-local single	454	8	d ≤ 17	5.093	0.0796	6	3100	1	6	20.9	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-09
★	[[228,4,17]]known params	2bga-nonabelian	228	4	d ≤ 17	5.07	·	5	·	1	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[128,8,9]]known params	2bga-nonabelian	128	8	d ≤ 9	5.062	·	6	·	1	6	·	Lin et al.	Claude Fable 5.1 (Claude Code)	2023
	[[64,4,9]]	generalized bicycle	64	4	d = 9	5.062	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[457,8,17]]	bivariate bicycle2D-local single	457	8	d ≤ 17	5.059	0.079	6	3114	1	6	23.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-08
	[[57,18,4]]known params	other2D-local bilayer	57	18	d = 4	5.053	0.0075	25	32	1.75	4	5	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[579,13,15]]	bivariate bicycle2D-local bilayer	579	13	d ≤ 15	5.052	0.0032	6	1643	1	4	27.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
★	[[572,8,19]]	bivariate bicycle2D-local single	572	8	d ≤ 19	5.049	0.0789	6	3972	1	4	24.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-09
	[[573,8,19]]	bivariate bicycle2D-local single	573	8	d ≤ 19	5.04	0.0788	6	3976	1	4	22.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[515,8,18]]	bivariate bicycle2D-local single	515	8	d ≤ 18	5.033	0.0786	6	3548	1	4	19.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[70,22,4]]	generalized bicycle2D-local bilayer	70	22	d = 4	5.029	0.0074	8	299	1	4	4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[438,22,10]]	generalized bicycle	438	22	d ≤ 10	5.023	·	6	·	1	6	·	@vprusso	Claude Fable 5.1	2026-09-22
	[[36,20,3]]	other	36	20	d ≤ 3	5.0	·	20	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[48,15,4]]	generalized bicycle2D-local bilayer	48	15	d = 4	5.0	0.0074	8	118	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[32,10,4]]	local-sat-css2D-local bilayer	32	10	d = 4	5.0	0.0154	6	37	1	4	3.16	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[40,8,5]]	bivariate bicycle2D-local bilayer	40	8	d = 5	5.0	0.0296	8	100	1	4	3.61	@mathysrennela	MiMo V2.5	2026-09-15
★	[[30,6,5]]	bivariate bicycle2D-local bilayer	30	6	d = 5	5.0	0.0296	8	144	1	4	5.1	@MathysRennela	Union Alpha 1.0	2026-09-17
★	[[180,4,15]]known params	2bga-nonabelian	180	4	d ≤ 15	5.0	·	5	·	1	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[410,8,16]]	bivariate bicycle2D-local single	410	8	d ≤ 16	4.995	0.078	6	2768	1	6	19.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-09
	[[141,44,4]]	hypergraph product	141	44	d = 4	4.993	·	20	·	1	4	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[119,37,4]]	check-deletion2D-local bilayer	119	37	d = 4	4.975	0.0036	6	395	1	10	6.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[523,8,18]]	bivariate bicycle2D-local single	523	8	d ≤ 18	4.956	0.0774	6	3597	1	6	24.5	@vprusso	Claude Fable 5.1	2026-09-22
★	[[350,6,17]]	generalized bicycle	350	6	d ≤ 17	4.954	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[42,13,4]]known params	check-deletion2D-local bilayer	42	13	d = 4	4.952	0.0073	6	87	1	6	2.83	@vprusso	Claude Opus 5	2026-09-21
★	[[238,6,14]]known params	generalized bicycle	238	6	d ≤ 14	4.941	·	5	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[196,2,22]]	generalized bicycle	196	2	d ≤ 22	4.939	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[120,37,4]]known params	check-deletion2D-local bilayer	120	37	d ≤ 4	4.933	0.0036	6	440	1.25	10	5.83	@vprusso	Claude Opus 5	2026-09-22
	[[446,13,13]]	bivariate bicycle2D-local bilayer	446	13	d ≤ 13	4.926	0.0021	6	1259	1	4	19.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[364,112,4]]	distance-amplified2D-local bilayer	364	112	d = 4	4.923	0.0021	8	1429	1	4	3.61	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
★	[[338,104,4]]	distance-amplified2D-local bilayer	338	104	d = 4	4.923	0.0024	8	1246	1	4	2	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
★	[[312,96,4]]	distance-amplified2D-local bilayer	312	96	d = 4	4.923	0.0029	8	1160	1	4	4.47	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
	[[286,88,4]]	distance-amplified2D-local bilayer	286	88	d = 4	4.923	0.0031	8	1026	1	4	3.61	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
	[[260,80,4]]	distance-amplified2D-local bilayer	260	80	d = 4	4.923	0.0036	8	735	1	4	3	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
★	[[234,72,4]]	distance-amplified2D-local bilayer	234	72	d = 4	4.923	0.0036	8	710	1	4	5	@MathysRennela	Space Bunny Alpha 1.0	2026-10-04
	[[676,13,16]]	bivariate bicycle2D-local bilayer	676	13	d ≤ 16	4.923	0.0059	6	1916	1	4	28.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
★	[[26,8,4]]	distance-amplified2D-local single	26	8	d = 4	4.923	0.117	7	64	1	6	5.1	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[432,4,23]]	bivariate bicycle	432	4	d ≤ 23	4.898	·	5	·	1	6	·	@cbjuan and @MathysRennela	human	2026-10-06
★	[[118,2,17]]	generalized bicycle	118	2	d ≤ 17	4.898	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[590,8,19]]	bivariate bicycle2D-local single	590	8	d ≤ 19	4.895	0.0765	6	4064	1	6	24.2	@vprusso	Claude Fable 5.1	2026-09-22
	[[144,44,4]]	hypergraph product2D-local bilayer	144	44	d = 4	4.889	0.0024	19	581	1	4	5.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
	[[72,22,4]]	generalized bicycle2D-local bilayer	72	22	d = 4	4.889	0.0151	8	170	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[681,13,16]]	bivariate bicycle2D-local bilayer	681	13	d ≤ 16	4.887	0.0058	6	1927	1	4	28.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
	[[35,19,3]]⚙2	other	35	19	d ≤ 3	4.886	·	20	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[599,13,15]]	bivariate bicycle2D-local bilayer	599	13	d ≤ 15	4.883	0.0031	6	1695	1	4	26.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
★	[[164,2,20]]	generalized bicycle	164	2	d ≤ 20	4.878	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[148,2,19]]	generalized bicycle2D-local bilayer	148	2	d ≤ 19	4.878	0.0024	8	970	1	4	10.3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[658,8,20]]	bivariate bicycle2D-local single	658	8	d ≤ 20	4.863	0.076	6	4590	1.05	6	23	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-12
★	[[372,8,15]]	bivariate bicycle2D-local single	372	8	d = 15	4.839	0.0756	6	2022	1	6	18.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[134,2,18]]	generalized bicycle	134	2	d ≤ 18	4.836	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[210,6,13]]known params	generalized bicycle	210	6	d ≤ 13	4.829	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[373,8,15]]	bivariate bicycle2D-local single	373	8	d ≤ 15	4.826	0.0754	6	2501	1	6	17.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-09
★	[[280,6,15]]known params	generalized bicycle	280	6	d ≤ 15	4.821	·	5	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[693,13,16]]	bivariate bicycle2D-local bilayer	693	13	d ≤ 16	4.802	0.0057	6	1931	1.12	6	28.6	@MathysRennela	DeepSeek V4.1 Flash	2026-09-28
	[[600,45,8]]	lifted product	600	45	d = 8	4.8	·	7	·	1.5	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
	[[40,12,4]]known params	generalized bicycle2D-local bilayer	40	12	d = 4	4.8	0.0114	8	215	1	4	5.83	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[60,8,6]]known params⚙6	bivariate bicycle2D-local bilayer	60	8	d = 6	4.8	0.0042	6	217	1	6	4.47	Zijian Liang et al.		2025
★	[[30,4,6]]known params⚙6	bivariate bicycle2D-local bilayer	30	4	d = 6	4.8	0.012	6	56	1	4	4.47	Zijian Liang et al.		2025
★	[[454,2,33]]known params	generalized bicycle	454	2	d ≤ 33	4.797	·	6	·	1	6	·	@seunomonije	exhaustive verification (exhaustive-qec verifier 0.1.0)	2026-08-14
	[[612,13,15]]	bivariate bicycle2D-local bilayer	612	13	d ≤ 15	4.779	0.0057	6	1702	1	6	27.7	@MathysRennela	DeepSeek V4.1 Flash	2026-09-28
	[[670,8,20]]	bivariate bicycle2D-local single	670	8	d ≤ 20	4.776	0.0746	6	4663	1	6	25.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[148,44,4]]	hypergraph product2D-local bilayer	148	44	d = 4	4.757	0.0028	20	581	1	4	6.32	@mathysrennela	Tencent Hy3	2026-07-17
★	[[72,38,3]]	local-sat-css2D-local bilayer	72	38	d = 3	4.75	0.0041	8	163	1	4	3	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[36,19,3]]	check-deletion2D-local bilayer	36	19	d = 3	4.75	0.0056	20	11	1	4	5.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[182,6,12]]	generalized bicycle2D-local bilayer	182	6	d = 12	4.747	0.0056	5	774	1	6	12.1	@willzeng	Claude Fable 5.1	2026-09-02
★	[[40,21,3]]	other	40	21	d ≤ 3	4.725	·	10	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[154,6,11]]	generalized bicycle2D-local bilayer	154	6	d = 11	4.714	0.0036	5	712	1	6	10.3	@willzeng	Claude Fable 5.1	2026-09-02
	[[679,8,20]]	bivariate bicycle2D-local single	679	8	d ≤ 20	4.713	0.0736	6	4725	1	6	29.1	@vprusso	Claude Fable 5.1	2026-09-22
	[[119,35,4]]	check-deletion2D-local bilayer	119	35	d = 4	4.706	0.0034	6	472	1	10	5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[358,2,29]]	generalized bicycle	358	2	d ≤ 29	4.698	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[50,26,3]]	local-sat-css2D-local bilayer	50	26	d = 3	4.68	0.0046	8	88	1	4	3.61	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[120,35,4]]known params	check-deletion2D-local bilayer	120	35	d ≤ 4	4.667	0.0034	6	442	1.25	10	7.62	@vprusso	Claude Opus 5	2026-09-21
★	[[168,4,14]]	generalized bicycle2D-local bilayer	168	4	d ≤ 14	4.667	0.0069	5	673	1	6	11.7	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[168,4,14]]known params	2BGA coset2D-local bilayer	168	4	d = 14	4.667	0.0034	5	817	1	8	10.8	@pandey-tushar	Claude Opus 5	2026-09-18
	[[42,4,7]]	generalized bicycle2D-local bilayer	42	4	d = 7	4.667	0.0034	7	124	1	4	6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[35,18,3]]	check-deletion2D-local bilayer	35	18	d = 3	4.629	0.0055	20	11	1	4	4.47	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[764,8,21]]	bivariate bicycle2D-local single	764	8	d ≤ 21	4.618	0.0722	6	5402	1.29	6	27.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-15
	[[41,21,3]]known params	check-deletion2D-local bilayer	41	21	d = 3	4.61	0.0034	21	11	1	4	4.47	@vprusso	Claude Opus 5	2026-09-22
★	[[420,4,22]]	bivariate bicycle	420	4	d ≤ 22	4.61	·	5	·	1	6	·	@cbjuan and @MathysRennela	human	2026-10-06
	[[767,8,21]]	bivariate bicycle2D-local single	767	8	d ≤ 21	4.6	0.0719	6	5426	1.19	6	27.3	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-11
	[[392,8,15]]known params	bivariate bicycle2D-local bilayer	392	8	d ≤ 15	4.592	0.0717	6	336	1	6	14.2	@mathysrennela	Tencent Hy3	2026-07-15
	[[700,50,8]]	bivariate bicycle	700	50	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[672,48,8]]	bivariate bicycle	672	48	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[644,46,8]]	bivariate bicycle	644	46	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[616,44,8]]	bivariate bicycle	616	44	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[560,40,8]]	bivariate bicycle	560	40	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[532,38,8]]	bivariate bicycle	532	38	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[504,36,8]]	bivariate bicycle	504	36	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[476,34,8]]	bivariate bicycle	476	34	d ≤ 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[280,20,8]]	bivariate bicycle	280	20	d = 8	4.571	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[42,12,4]]	multivariate-bicycle	42	12	d = 4	4.571	·	7	·	1	4	·	@Ronaldoengenhariadacomputacao et al.	Claude Sonnet 5	2026-10-11
	[[42,12,4]]known params	generalized bicycle2D-local bilayer	42	12	d = 4	4.571	0.0029	7	157	1	4	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[28,8,4]]	generalized bicycle	28	8	d = 4	4.571	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[112,2,16]]	generalized bicycle2D-local bilayer	112	2	d ≤ 16	4.571	0.0019	8	788	1	4	8.49	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[394,2,30]]known params	generalized bicycle	394	2	d ≤ 30	4.569	·	6	·	1	6	·	@seunomonije	exhaustive verification (exhaustive-qec verifier 0.1.0)	2026-08-14
★	[[849,8,22]]	bivariate bicycle2D-local single	849	8	d ≤ 22	4.561	0.0713	6	6056	1.23	6	28.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-15
	[[774,8,21]]	bivariate bicycle2D-local single	774	8	d ≤ 21	4.558	0.0712	6	5469	1.14	6	26.9	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-08
★	[[422,2,31]]known params	generalized bicycle	422	2	d ≤ 31	4.555	·	6	·	1	6	·	@seunomonije	exhaustive verification (exhaustive-qec verifier 0.1.0)	2026-08-14
	[[450,8,16]]known params	bivariate bicycle2D-local single	450	8	d ≤ 16	4.551	0.0711	6	3042	1	6	21.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-07
★	[[345,8,14]]	bivariate bicycle2D-local single	345	8	d = 14	4.545	0.071	6	2297	1	6	18.9	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[44,2,10]]	generalized bicycle2D-local bilayer	44	2	d = 10	4.545	0.0157	8	98	1	4	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[346,2,28]]	generalized bicycle	346	2	d ≤ 28	4.532	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[855,8,22]]	bivariate bicycle2D-local single	855	8	d ≤ 22	4.529	0.0708	6	6092	1.18	6	27.3	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-12
★	[[241,121,3]]known params	hypergraph product	241	121	d = 3	4.519	·	12	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
★	[[300,8,13]]	bivariate bicycle2D-local single	300	8	d = 13	4.507	0.0704	6	1965	1	6	18	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[150,4,13]]known params	generalized bicycle	150	4	d = 13	4.507	·	5	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
	[[348,8,14]]	bivariate bicycle2D-local single	348	8	d = 14	4.506	0.0704	6	2315	1	6	18.6	@vprusso	Claude Fable 5.1	2026-09-22
	[[240,30,6]]	bivariate bicycle	240	30	d = 6	4.5	·	6	·	1	6	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[208,26,6]]	bivariate bicycle2D-local bilayer	208	26	d = 6	4.5	0.0067	6	613	1	6	4.47	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[192,24,6]]	generalized bicycle	192	24	d = 6	4.5	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[48,24,3]]⚙2	bivariate bicycle	48	24	d ≤ 3	4.5	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[160,20,6]]	generalized bicycle2D-local bilayer	160	20	d = 6	4.5	0.0112	6	423	1	6	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[40,20,3]]⚙2	bivariate bicycle	40	20	d ≤ 3	4.5	·	10	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[128,16,6]]	generalized bicycle	128	16	d = 6	4.5	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[32,16,3]]	local-sat-css2D-local bilayer	32	16	d = 3	4.5	0.0139	8	25	1	4	3.61	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[48,6,6]]	bivariate bicycle2D-local bilayer	48	6	d = 6	4.5	0.0067	8	154	1	4	4.47	@mathysrennela	MiMo V2.5	2026-09-15
★	[[676,2,39]]known params	generalized bicycle	676	2	d ≤ 39	4.5	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[100,2,15]]known params	2bga-nonabelian2D-local bilayer	100	2	d ≤ 15	4.5	0.0028	8	555	1	4	7.07	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[64,2,12]]	generalized bicycle2D-local bilayer	64	2	d = 12	4.5	0.0035	8	240	1	4	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[861,8,22]]	bivariate bicycle2D-local single	861	8	d ≤ 22	4.497	0.0703	6	6129	1.23	6	29.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-10
★	[[278,2,25]]	generalized bicycle	278	2	d ≤ 25	4.496	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[943,8,23]]	bivariate bicycle2D-local single	943	8	d ≤ 23	4.488	0.0701	6	6748	1.22	6	30.5	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-11
	[[787,8,21]]	bivariate bicycle2D-local single	787	8	d ≤ 21	4.483	0.07	6	5556	1.14	6	26.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-06
★	[[25,7,4]]	local-sat-css2D-local single	25	7	d = 4	4.48	0.07	6	36	1	4	4.12	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
★	[[326,2,27]]	generalized bicycle	326	2	d ≤ 27	4.472	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[792,8,21]]	bivariate bicycle2D-local single	792	8	d ≤ 21	4.455	0.0696	6	5594	1.14	6	26.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
★	[[44,4,7]]	generalized bicycle2D-local bilayer	44	4	d = 7	4.455	0.0154	6	122	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[88,2,14]]known params	2bga-nonabelian2D-local bilayer	88	2	d ≤ 14	4.455	0.0034	8	471	1	4	6.71	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[36,10,4]]	local-sat-css2D-local single	36	10	d = 4	4.444	0.0694	6	53	1	4	5.1	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[36,10,4]]	generalized bicycle	36	10	d = 4	4.444	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[722,8,20]]	bivariate bicycle2D-local single	722	8	d ≤ 20	4.432	0.0693	6	5066	1.15	6	23.6	@e-eight	DeepSeek V4 Flash 0731	2026-09-21
	[[874,8,22]]	bivariate bicycle2D-local single	874	8	d ≤ 22	4.43	0.0692	6	6211	1.14	6	28	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-06
	[[875,8,22]]	bivariate bicycle2D-local single	875	8	d ≤ 22	4.425	0.0691	6	6222	1.14	6	28	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-04
	[[497,13,13]]	bivariate bicycle2D-local bilayer	497	13	d ≤ 13	4.421	0.0053	6	1365	1	6	19.7	@MathysRennela	DeepSeek V4.1 Flash	2026-09-28
	[[356,13,11]]	bivariate bicycle2D-local bilayer	356	13	d = 11	4.419	0.0173	6	899	1	4	13	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[800,8,21]]	bivariate bicycle2D-local single	800	8	d ≤ 21	4.41	0.0689	6	5652	1.19	6	28.7	@MathysRennela	MiMo-V2.6-Flash	2026-09-26
	[[960,8,23]]	bivariate bicycle2D-local single	960	8	d ≤ 23	4.408	0.0689	6	6860	1.13	6	29.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
	[[80,22,4]]	generalized bicycle2D-local bilayer	80	22	d = 4	4.4	0.0152	8	127	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[882,8,22]]	bivariate bicycle2D-local single	882	8	d ≤ 22	4.39	0.0686	6	6270	1.14	6	28	@MathysRennela	MiMo-V2.6-Flash	2026-09-27
	[[132,2,17]]	generalized bicycle	132	2	d ≤ 17	4.379	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[660,8,19]]	generalized bicycle	660	8	d ≤ 19	4.376	·	5	·	1.11	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[968,8,23]]	bivariate bicycle2D-local single	968	8	d ≤ 23	4.372	0.0683	6	6920	1.17	6	30.8	@MathysRennela	MiMo-V2.6-Flash	2026-09-27
	[[35,17,3]]	check-deletion2D-local bilayer	35	17	d = 3	4.371	0.0065	20	3	1	4	3.61	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[202,2,21]]	generalized bicycle2D-local bilayer	202	2	d ≤ 21	4.366	0.0022	6	1382	1	6	11.2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[88,24,4]]	generalized bicycle2D-local bilayer	88	24	d = 4	4.364	0.0109	8	263	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[132,4,12]]known params	generalized bicycle2D-local bilayer	132	4	d = 12	4.364	0.0065	5	534	1	6	7.21	@natestemen	GPT-6	2026-09-18
	[[180,4,14]]	bivariate bicycle2D-local bilayer	180	4	d ≤ 14	4.356	0.0052	5	706	1	6	11.4	@cbjuan	Claude Opus 5	2026-09-07
	[[265,8,12]]	bivariate bicycle2D-local bilayer	265	8	d = 12	4.347	0.0435	6	233	1	4	11	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[364,13,11]]	bivariate bicycle2D-local bilayer	364	13	d = 11	4.321	0.0256	6	911	1	6	14.4	@MathysRennela	DeepSeek V4.1 Flash	2026-09-29
★	[[23,11,3]]	other2D-local single	23	11	d = 3	4.304	0.102	8	20	1	4	4.12	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[268,8,12]]	bivariate bicycle2D-local single	268	8	d = 12	4.299	0.0672	6	1731	1	6	16.1	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[700,47,8]]	lifted product	700	47	d ≤ 8	4.297	·	7	·	2.5	4	·	@mathysrennela	GLM 5.3 Flash	2026-09-14
★	[[140,6,10]]	bivariate bicycle2D-local bilayer	140	6	d = 10	4.286	0.0051	5	639	1	6	6.4	@cbjuan	GPT 5.6 Sol	2026-09-07
	[[180,48,4]]⚙2	other	180	48	d ≤ 4	4.267	·	10	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-18
	[[240,16,8]]	bivariate bicycle2D-local bilayer	240	16	d = 8	4.267	0.0019	6	1193	1	6	9.54	@vprusso	Claude Fable 5.1	2026-09-22
★	[[30,8,4]]	generalized bicycle2D-local bilayer	30	8	d = 4	4.267	0.0273	6	139	1	6	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[60,4,8]]known params	generalized bicycle2D-local bilayer	60	4	d = 8	4.267	0.0252	5	116	1	6	5	@willzeng	Claude Fable 5.1	2026-09-02
	[[608,2,36]]known params	generalized bicycle	608	2	d ≤ 36	4.263	·	6	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[92,2,14]]	generalized bicycle2D-local bilayer	92	2	d ≤ 14	4.261	0.0063	8	266	1	4	8.6	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[114,4,11]]known params	generalized bicycle	114	4	d = 11	4.246	·	5	·	1	6	·	Lee, Gideon	Claude Fable 5.1 (Claude Code)	2026-10-12
★	[[49,13,4]]⚙3	local-sat-css2D-local single	49	13	d = 4	4.245	0.0663	8	53	1	4	5	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[106,2,15]]	generalized bicycle2D-local bilayer	106	2	d = 15	4.245	0.0021	8	652	1	4	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[30,14,3]]	generalized bicycle2D-local bilayer	30	14	d = 3	4.2	0.0145	8	36	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[15,7,3]]known params	other2D-local single	15	7	d = 3	4.2	0.343	8	0	1	4	2.65	@FarLab	Claude Opus 5	2026-07-25
	[[42,11,4]]known params	check-deletion2D-local bilayer	42	11	d = 4	4.19	0.0062	6	81	1	6	5.39	@vprusso	Claude Opus 5	2026-09-21
	[[176,46,4]]	generalized bicycle2D-local bilayer	176	46	d = 4	4.182	0.0067	8	408	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[276,8,12]]	bivariate bicycle2D-local single	276	8	d = 12	4.174	0.0652	6	1778	1	6	14.9	@vprusso	Claude Fable 5.1	2026-09-20
★	[[162,4,13]]	generalized bicycle2D-local bilayer	162	4	d = 13	4.173	0.005	5	714	1	6	10.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[41,19,3]]known params	check-deletion2D-local bilayer	41	19	d = 3	4.171	0.003	21	8	1	4	5.39	@vprusso	Claude Opus 5	2026-09-21
	[[54,9,5]]	other2D-local bilayer	54	9	d = 5	4.167	0.0026	12	262	1.2	4	4.12	@mathysrennela	GPT-5.6 Luna	2026-08-21
★	[[432,8,15]]	bivariate bicycle	432	8	d ≤ 15	4.167	·	5	·	1	6	·	@cbjuan	human	2026-10-07
★	[[96,4,10]]known params	2BGA coset2D-local bilayer	96	4	d = 10	4.167	0.0144	5	210	1	6	7.81	Lin et al.		2023
★	[[24,4,5]]known params	2bga-nonabelian2D-local bilayer	24	4	d = 5	4.167	0.0417	8	30	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[192,2,20]]	generalized bicycle	192	2	d ≤ 20	4.167	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[225,104,3]]	hypergraph product	225	104	d = 3	4.16	·	19	·	1	4	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[78,4,9]]known params	generalized bicycle2D-local bilayer	78	4	d = 9	4.154	0.0104	5	257	1	6	6.71	@natestemen	GPT-6	2026-09-18
	[[85,22,4]]	topological2D-local bilayer	85	22	d = 4	4.141	0.0066	6	193	1	8	5	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[630,8,18]]	generalized bicycle	630	8	d ≤ 18	4.114	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[288,74,4]]	bivariate bicycle2D-local bilayer	288	74	d = 4	4.111	0.0024	8	1264	1	4	5	@mathysrennela		2026-09-21
★	[[48,4,7]]	generalized bicycle2D-local bilayer	48	4	d = 7	4.083	0.0141	5	124	1	6	5	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[96,2,14]]	generalized bicycle2D-local bilayer	96	2	d = 14	4.083	0.0024	8	601	1	4	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[84,38,3]]	topological	84	38	d = 3	4.071	·	7	·	1	6	·	@mathysrennela	human	2026-10-10
★	[[142,2,17]]	generalized bicycle2D-local bilayer	142	2	d = 17	4.07	0.0025	6	793	1	6	9.9	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[178,2,19]]	generalized bicycle2D-local bilayer	178	2	d ≤ 19	4.056	0.002	6	1109	1	6	11.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[160,18,6]]	topological2D-local bilayer	160	18	d = 6	4.05	0.006	5	515	1.33	8	6.32	@msilve160	Claude Sonnet 5	2026-09-19
★	[[262,2,23]]	generalized bicycle	262	2	d ≤ 23	4.038	·	6	·	1	6	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[232,104,3]]	hypergraph product	232	104	d = 3	4.034	·	19	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
★	[[240,8,11]]	bivariate bicycle2D-local single	240	8	d = 11	4.033	0.063	6	1519	1	4	14.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[60,2,11]]	generalized bicycle2D-local bilayer	60	2	d = 11	4.033	0.0048	8	247	1	4	6.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[696,174,4]]	bivariate bicycle	696	174	d = 4	4.0	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[688,172,4]]	bivariate bicycle	688	172	d = 4	4.0	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[384,96,4]]	bivariate bicycle	384	96	d = 4	4.0	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[248,62,4]]	bivariate bicycle2D-local bilayer	248	62	d = 4	4.0	0.0059	6	681	1	4	3.16	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[192,48,4]]	generalized bicycle2D-local bilayer	192	48	d = 4	4.0	0.01	6	443	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[176,44,4]]	generalized bicycle2D-local bilayer	176	44	d = 4	4.0	0.01	6	339	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[160,40,4]]	generalized bicycle2D-local bilayer	160	40	d = 4	4.0	0.0138	6	226	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[144,36,4]]	generalized bicycle2D-local bilayer	144	36	d = 4	4.0	0.0237	6	179	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[117,13,6]]⚙4	lifted product	117	13	d ≤ 6	4.0	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[192,12,8]]	bivariate bicycle2D-local bilayer	192	12	d = 8	4.0	0.0237	6	694	1	6	9	@FarLab	Claude Opus 5	2026-07-25
	[[48,12,4]]	generalized bicycle2D-local bilayer	48	12	d = 4	4.0	0.04	6	50	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[40,10,4]]known params⚙4LER record	topological2D-local bilayer	40	10	d = 4	4.0	0.019	5	158	1	8	6.08	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[36,9,4]]	other2D-local bilayer	36	9	d = 4	4.0	0.0059	12	68	1	4	4	@mathysrennela	GPT-5.6 Luna	2026-08-21
	[[288,8,12]]	bivariate bicycle2D-local single	288	8	d = 12	4.0	0.0625	6	1860	1	6	14.9	Liang et al.		2025-04-11
★	[[200,8,10]]known params	2bga-nonabelian	200	8	d ≤ 10	4.0	·	5	·	1	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[50,8,5]]	generalized bicycle2D-local bilayer	50	8	d = 5	4.0	0.01	7	150	1	4	4.12	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[32,8,4]]known params⚙4LER record	2BGA coset2D-local bilayer	32	8	d = 4	4.0	0.0123	8	82	1	4	3.61	Lin et al.		2023
★	[[18,8,3]]known params	generalized bicycle2D-local bilayer	18	8	d = 3	4.0	0.0625	9	4	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[24,6,4]]	generalized bicycle2D-local bilayer	24	6	d = 4	4.0	0.0816	6	16	1	4	2	Lin et al.		2023-06-28
★	[[36,4,6]]	generalized bicycle2D-local bilayer	36	4	d = 6	4.0	0.0138	5	89	1	6	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[16,4,4]]	other2D-local single	16	4	d = 4	4.0	0.16	6	20	1	4	3.16	@MathysRennela	GLM 5.3 Flash	2026-09-06
★	[[200,2,20]]	generalized bicycle2D-local bilayer	200	2	d ≤ 20	4.0	0.0017	6	1266	1	6	12.5	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[128,2,16]]	generalized bicycle2D-local bilayer	128	2	d ≤ 16	4.0	0.0029	6	659	1	6	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[394,13,11]]	bivariate bicycle2D-local bilayer	394	13	d = 11	3.992	0.0236	6	978	1	6	12.4	@MathysRennela	DeepSeek V4.1 Flash	2026-09-28
	[[41,18,3]]known params	check-deletion2D-local bilayer	41	18	d = 3	3.951	0.0029	21	13	1.33	4	4.12	@vprusso	Claude Opus 5	2026-09-21
	[[292,18,8]]known params	bivariate bicycle	292	18	d = 8	3.945	·	6	·	1	6	·	Zijian Liang et al.		2025
	[[203,8,10]]	bivariate bicycle2D-local bilayer	203	8	d = 10	3.941	0.0233	6	172	1	4	9.85	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-20
★	[[57,14,4]]	local-sat-css2D-local single	57	14	d = 4	3.93	0.0614	8	61	1	4	4.47	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
	[[153,6,10]]	generalized bicycle2D-local bilayer	153	6	d ≤ 10	3.922	0.003	5	697	1.1	6	9.85	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
★	[[100,2,14]]	generalized bicycle	100	2	d = 14	3.92	0.0056	6	697	1	6	11.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[46,20,3]]	check-deletion2D-local bilayer	46	20	d = 3	3.913	0.0121	8	67	1	4	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[166,2,18]]	generalized bicycle2D-local bilayer	166	2	d ≤ 18	3.904	0.0023	6	960	1	6	10	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[62,2,11]]	generalized bicycle2D-local bilayer	62	2	d = 11	3.903	0.0029	8	260	1	4	6.32	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[205,8,10]]	bivariate bicycle2D-local single	205	8	d = 10	3.902	0.061	6	1281	1	6	13	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[249,8,11]]	bivariate bicycle2D-local single	249	8	d = 11	3.888	0.0607	6	1568	1	6	15.5	@vprusso	Claude Fable 5.1	2026-09-22
★	[[116,2,15]]	bivariate bicycle2D-local bilayer	116	2	d ≤ 15	3.879	0.003	6	563	1	6	9.85	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[116,2,15]]	generalized bicycle	116	2	d ≤ 15	3.879	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[130,14,6]]⚙4	lifted product	130	14	d ≤ 6	3.877	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-17
	[[207,8,10]]	bivariate bicycle2D-local single	207	8	d = 10	3.865	0.0604	6	1290	1	6	14.3	@vprusso	Claude Fable 5.1	2026-09-20
★	[[294,126,3]]known params	2bga-nonabelian2D-local bilayer	294	126	d = 3	3.857	0.0028	9	1024	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[280,120,3]]known params	generalized bicycle2D-local bilayer	280	120	d = 3	3.857	0.0038	9	747	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,108,3]]known params	generalized bicycle2D-local bilayer	252	108	d = 3	3.857	0.0038	9	765	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[210,90,3]]known params	2bga-nonabelian2D-local bilayer	210	90	d = 3	3.857	0.0033	9	580	1	4	4.12	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[126,54,3]]known params	2bga-nonabelian2D-local bilayer	126	54	d = 3	3.857	0.0119	9	162	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[42,18,3]]	generalized bicycle2D-local bilayer	42	18	d = 3	3.857	0.0096	8	77	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[28,12,3]]known params	generalized bicycle2D-local bilayer	28	12	d = 3	3.857	0.0228	9	39	1	4	3.16	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[126,6,9]]	generalized bicycle2D-local bilayer	126	6	d = 9	3.857	0.0046	5	519	1	6	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[14,6,3]]	generalized bicycle2D-local bilayer	14	6	d = 3	3.857	0.003	7	13	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[42,2,9]]	generalized bicycle2D-local bilayer	42	2	d = 9	3.857	0.003	8	126	1	4	6.32	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[52,2,10]]	generalized bicycle2D-local bilayer	52	2	d = 10	3.846	0.003	8	202	1	4	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[680,163,4]]	lifted product	680	163	d = 4	3.835	·	6	·	1	8	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-12
	[[169,8,9]]	bivariate bicycle2D-local bilayer	169	8	d = 9	3.834	0.0227	6	143	1	4	10.8	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[118,2,15]]	generalized bicycle2D-local bilayer	118	2	d = 15	3.814	0.0028	6	617	1	6	8.94	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[672,10,16]]	generalized bicycle	672	10	d ≤ 16	3.81	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[168,10,8]]	bivariate bicycle2D-local bilayer	168	10	d = 8	3.81	0.0025	6	774	1	6	4	@vprusso	Claude Fable 5.1	2026-09-22
	[[42,10,4]]known params	generalized bicycle2D-local bilayer	42	10	d = 4	3.81	0.0056	6	88	1	6	4	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[76,2,12]]	generalized bicycle2D-local bilayer	76	2	d = 12	3.789	0.0045	6	356	1	6	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[143,15,6]]⚙4	lifted product	143	15	d ≤ 6	3.776	·	5	·	1	8	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[72,30,3]]	local-sat-css2D-local bilayer	72	30	d = 3	3.75	0.0032	6	237	1	4	3.16	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[40,6,5]]	generalized bicycle2D-local bilayer	40	6	d = 5	3.75	0.006	6	98	1	4	3.16	Lin et al.		2023-06-28
	[[420,8,14]]	bivariate bicycle	420	8	d = 14	3.733	·	5	·	1	6	·	@cbjuan	human	2026-10-07
	[[41,17,3]]known params	check-deletion2D-local bilayer	41	17	d = 3	3.732	0.0027	21	8	1.33	4	3.16	@vprusso	Claude Opus 5	2026-09-21
	[[46,19,3]]	check-deletion2D-local bilayer	46	19	d = 3	3.717	0.0129	8	65	1	4	3.61	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[156,2,17]]	generalized bicycle2D-local bilayer	156	2	d ≤ 17	3.705	0.0015	6	962	1	4	10.3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[175,8,9]]	bivariate bicycle2D-local bilayer	175	8	d = 9	3.703	0.0219	6	153	1	4	8.54	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[190,78,3]]	hypergraph product2D-local bilayer	190	78	d = 3	3.695	0.0015	18	571	1	4	8.06	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[176,8,9]]	bivariate bicycle2D-local single	176	8	d = 9	3.682	0.0575	6	1075	1	6	12.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[92,2,13]]	generalized bicycle2D-local bilayer	92	2	d = 13	3.674	0.0059	6	257	1	6	7.07	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
	[[54,22,3]]	generalized bicycle2D-local bilayer	54	22	d = 3	3.667	0.0059	8	122	1	4	4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[48,11,4]]	local-sat-css2D-local single	48	11	d = 4	3.667	0.0573	6	83	1	4	6.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[27,11,3]]	topological2D-local bilayer	27	11	d = 3	3.667	0.0059	6	28	1	6	2.24	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[264,8,11]]known params	generalized bicycle	264	8	d ≤ 11	3.667	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[66,2,11]]	generalized bicycle2D-local bilayer	66	2	d = 11	3.667	0.0027	8	322	1	4	6.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[420,6,16]]	bivariate bicycle	420	6	d ≤ 16	3.657	·	5	·	1	6	·	@cbjuan	human	2026-10-07
	[[476,6,17]]known params	generalized bicycle	476	6	d ≤ 17	3.643	·	5	·	1	6	·	@vprusso	Claude Opus 5	2026-09-22
	[[178,8,9]]	bivariate bicycle2D-local single	178	8	d = 9	3.64	0.0569	6	1085	1	6	15.3	@vprusso	Claude Fable 5.1	2026-09-20
	[[160,2,17]]	generalized bicycle2D-local bilayer	160	2	d ≤ 17	3.612	0.0018	6	886	1	4	8.6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[50,20,3]]	local-sat-css2D-local bilayer	50	20	d = 3	3.6	0.0035	6	110	1	4	4.12	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[50,20,3]]known params	check-deletion2D-local bilayer	50	20	d = 3	3.6	0.009	8	96	1	4	4	@vprusso	Claude Opus 5	2026-09-21
	[[40,16,3]]	generalized bicycle2D-local bilayer	40	16	d = 3	3.6	0.0125	8	64	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[90,4,9]]⚙9	bivariate bicycle2D-local bilayer	90	4	d = 9	3.6	0.0058	5	293	1	6	8.94	@cbjuan	GPT 5.6 Sol +1	2026-09-07
	[[80,2,12]]	generalized bicycle2D-local bilayer	80	2	d = 12	3.6	0.0026	6	351	1	6	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[20,2,6]]	other2D-local single	20	2	d = 6	3.6	0.0852	8	26	1	4	4	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[94,2,13]]	generalized bicycle2D-local bilayer	94	2	d = 13	3.596	0.0043	6	414	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[570,8,16]]	generalized bicycle	570	8	d ≤ 16	3.593	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[49,11,4]]	local-sat-css2D-local single	49	11	d = 4	3.592	0.0561	6	80	1	4	3.61	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[697,25,10]]	hypergraph product2D-local bilayer	697	25	d ≤ 10	3.587	0.0021	6	3616	1	6	17	@MathysRennela	Beam 1.0	2026-10-18
	[[540,4,22]]known params	generalized bicycle	540	4	d ≤ 22	3.585	·	5	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
★	[[630,10,15]]	generalized bicycle	630	10	d ≤ 15	3.571	·	5	·	1.07	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[28,4,5]]	generalized bicycle2D-local bilayer	28	4	d = 5	3.571	0.0229	6	122	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[56,2,10]]	generalized bicycle2D-local bilayer	56	2	d = 10	3.571	0.0104	6	300	1	6	7.28	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[53,21,3]]	check-deletion2D-local bilayer	53	21	d = 3	3.566	0.0123	6	86	1	8	3.61	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[48,19,3]]known params	check-deletion2D-local bilayer	48	19	d = 3	3.562	0.0042	18	55	1.33	4	5.83	@vprusso	Claude Opus 5	2026-09-22
★	[[68,2,11]]	generalized bicycle2D-local bilayer	68	2	d = 11	3.559	0.0027	6	312	1	6	7.21	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[450,100,4]]	distance-amplified2D-local bilayer	450	100	d = 4	3.556	0.0015	7	2193	1	4	5.83	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[432,96,4]]	distance-amplified2D-local bilayer	432	96	d = 4	3.556	0.0018	7	1842	1	4	4.24	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[414,92,4]]	distance-amplified2D-local bilayer	414	92	d = 4	3.556	0.0021	7	1730	1	4	5.1	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[396,88,4]]	distance-amplified2D-local bilayer	396	88	d = 4	3.556	0.0021	7	1712	1	4	4.47	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[378,84,4]]	distance-amplified2D-local bilayer	378	84	d = 4	3.556	0.0021	7	1643	1	4	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[360,80,4]]	distance-amplified2D-local bilayer	360	80	d = 4	3.556	0.0021	7	1383	1	4	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[342,76,4]]	distance-amplified2D-local bilayer	342	76	d = 4	3.556	0.0015	7	1454	1	4	3.61	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[324,72,4]]	distance-amplified2D-local bilayer	324	72	d = 4	3.556	0.0015	7	1359	1	4	5.1	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[306,68,4]]	distance-amplified2D-local bilayer	306	68	d = 4	3.556	0.0026	7	1126	1	4	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[288,64,4]]	distance-amplified2D-local bilayer	288	64	d = 4	3.556	0.0022	7	944	1	4	4.47	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
★	[[234,52,4]]	distance-amplified2D-local bilayer	234	52	d = 4	3.556	0.0042	7	620	1	4	3.61	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[36,8,4]]	other2D-local single	36	8	d = 4	3.556	0.0556	6	46	1	4	3.16	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[18,4,4]]	distance-amplified2D-local single	18	4	d = 4	3.556	0.0556	5	34	1	6	5.39	@MathysRennela	Space Bunny Alpha 1.0	2026-09-30
	[[18,4,4]]known params	bivariate bicycle2D-local single	18	4	d = 4	3.556	0.0988	6	30	1	4	4	Zijian Liang et al.		2025
★	[[36,2,8]]	generalized bicycle2D-local bilayer	36	2	d = 8	3.556	0.0053	8	95	1	4	5.39	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[66,26,3]]	generalized bicycle2D-local bilayer	66	26	d = 3	3.545	0.0138	8	39	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[332,6,14]]	bivariate bicycle2D-local bilayer	332	6	d = 14	3.542	0.0123	6	583	1	4	11.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[46,2,9]]	generalized bicycle2D-local bilayer	46	2	d = 9	3.522	0.0052	8	137	1	4	5.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[275,8,11]]	bivariate bicycle2D-local single	275	8	d ≤ 11	3.52	0.055	6	1770	1.09	6	15	@vprusso	Claude Fable 5.1	2026-09-20
★	[[90,35,3]]	check-deletion2D-local bilayer	90	35	d = 3	3.5	0.0052	6	215	1	8	4.47	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[54,21,3]]known params	check-deletion2D-local bilayer	54	21	d = 3	3.5	0.0087	6	94	1.33	8	6.71	@vprusso	Claude Opus 5	2026-09-21
	[[64,14,4]]⚙2	local-sat-css2D-local single	64	14	d = 4	3.5	0.0547	8	79	1	4	4.12	@vprusso	Claude Fable 5.1 (Claude Code)	2026-10-04
★	[[36,14,3]]	local-sat-css2D-local single	36	14	d = 3	3.5	0.0547	6	40	1	4	3	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
	[[336,6,14]]	bivariate bicycle2D-local bilayer	336	6	d = 14	3.5	0.0121	6	586	1	4	12	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
	[[201,78,3]]	hypergraph product2D-local bilayer	201	78	d = 3	3.493	0.0015	19	716	1	4	6.71	@mathysrennela	Tencent Hy3	2026-07-17
★	[[49,19,3]]	local-sat-css2D-local single	49	19	d = 3	3.49	0.0545	6	62	1	4	4.12	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
	[[169,12,7]]	bivariate bicycle2D-local bilayer	169	12	d = 7	3.479	0.0022	6	467	1	4	10	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
★	[[114,44,3]]	hypergraph product2D-local bilayer	114	44	d = 3	3.474	0.0041	11	310	1	4	9.06	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-12
★	[[96,37,3]]known params	check-deletion2D-local bilayer	96	37	d = 3	3.469	0.0051	6	277	1	8	5.1	@vprusso	Claude Opus 5	2026-09-21
	[[70,2,11]]	generalized bicycle2D-local bilayer	70	2	d = 11	3.457	0.0051	6	256	1	6	6.71	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[94,36,3]]	check-deletion2D-local bilayer	94	36	d = 3	3.447	0.0051	6	229	1	8	6.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[81,31,3]]	local-sat-css2D-local single	81	31	d = 3	3.444	0.0538	6	98	1	4	3.16	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[112,6,8]]known params	generalized bicycle	112	6	d = 8	3.429	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[21,2,6]]	other2D-local single	21	2	d = 6	3.429	0.0536	8	42	1	4	5	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[50,19,3]]known params	check-deletion	50	19	d = 3	3.42	·	8	·	1.33	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[53,20,3]]⚙3	other2D-local bilayer	53	20	d = 3	3.396	0.0033	6	163	1.33	8	5.1	@mathysrennela	MiMo-V2.6-Flash	2026-09-26
	[[117,44,3]]	hypergraph product2D-local bilayer	117	44	d = 3	3.385	0.004	11	280	1	4	3.61	@mathysrennela	Tencent Hy3	2026-07-17
	[[416,39,6]]	lifted product	416	39	d = 6	3.375	·	5	·	1	8	·	@EshMis	GPT-6	2026-10-02
	[[96,36,3]]known params	check-deletion2D-local bilayer	96	36	d ≤ 3	3.375	0.005	6	224	1.33	8	4.24	@vprusso	Claude Opus 5	2026-09-21
★	[[64,24,3]]	local-sat-css2D-local single	64	24	d = 3	3.375	0.0527	6	62	1	4	2.24	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[32,12,3]]	local-sat-css2D-local bilayer	32	12	d = 3	3.375	0.0104	6	49	1	4	2.83	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
★	[[16,6,3]]	other2D-local single	16	6	d = 3	3.375	0.135	6	15	1	4	2.24	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[175,12,7]]	bivariate bicycle2D-local bilayer	175	12	d = 7	3.36	0.0054	6	459	1	4	9.06	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[108,40,3]]known params	2bga-nonabelian2D-local bilayer	108	40	d = 3	3.333	0.0115	8	157	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[588,10,14]]	generalized bicycle	588	10	d ≤ 14	3.333	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[180,6,10]]	bivariate bicycle2D-local bilayer	180	6	d = 10	3.333	0.0115	6	293	1	4	8.06	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
★	[[30,4,5]]	generalized bicycle2D-local bilayer	30	4	d = 5	3.333	0.013	5	67	1	6	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[154,8,8]]	bivariate bicycle2D-local single	154	8	d = 8	3.325	0.0519	6	921	1	4	13.6	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[118,8,7]]	bivariate bicycle2D-local bilayer	118	8	d = 7	3.322	0.0197	6	104	1	4	8.94	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-20
	[[59,4,7]]	generalized bicycle2D-local bilayer	59	4	d = 7	3.322	0.0197	5	111	1.14	6	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
	[[242,8,10]]	bivariate bicycle2D-local bilayer	242	8	d = 10	3.306	0.0517	6	198	1	6	9.85	@msilve160	Claude Sonnet 5	2026-09-18
★	[[120,44,3]]known params	2bga-nonabelian2D-local bilayer	120	44	d = 3	3.3	0.0053	8	262	1	4	1	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[126,46,3]]	generalized bicycle2D-local bilayer	126	46	d = 3	3.286	0.0082	8	247	1	4	2.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[96,35,3]]known params	check-deletion2D-local bilayer	96	35	d ≤ 3	3.281	0.0049	6	282	1.33	8	5	@vprusso	Claude Opus 5	2026-09-21
	[[198,8,9]]	bivariate bicycle2D-local bilayer	198	8	d = 9	3.273	0.0511	6	161	1	6	8.6	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[264,6,12]]	bivariate bicycle2D-local bilayer	264	6	d = 12	3.273	0.0113	6	449	1	4	10.8	@FarLab and @vprusso	Claude Opus 4.8	2026-06-19
	[[22,2,6]]	generalized bicycle2D-local bilayer	22	2	d = 6	3.273	0.0327	8	22	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[74,2,11]]	generalized bicycle2D-local bilayer	74	2	d = 11	3.27	0.0048	6	288	1	4	5.39	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[30,2,7]]	generalized bicycle2D-local bilayer	30	2	d = 7	3.267	0.0113	8	57	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[25,9,3]]	other2D-local single	25	9	d = 3	3.24	0.0506	6	32	1	4	3.16	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
	[[200,8,9]]	bivariate bicycle2D-local single	200	8	d = 9	3.24	0.0506	6	1232	1	6	13.3	Liang et al.		2025-04-11
★	[[50,2,9]]known params	generalized bicycle2D-local bilayer	50	2	d = 9	3.24	0.0028	6	263	1	4	5.39	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[773,25,10]]	hypergraph product2D-local bilayer	773	25	d ≤ 10	3.234	0.0019	6	4046	1	6	17	@MathysRennela	Beam 1.0	2026-10-18
★	[[315,254,2]]	other	315	254	d ≤ 2	3.225	·	30	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
★	[[345,278,2]]	other	345	278	d ≤ 2	3.223	·	30	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-15
	[[420,8,13]]	bivariate bicycle	420	8	d ≤ 13	3.219	·	5	·	1	6	·	@cbjuan	human	2026-10-07
	[[28,10,3]]	generalized bicycle2D-local bilayer	28	10	d = 3	3.214	0.0025	8	51	1	4	4.12	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[125,25,4]]	balanced product	125	25	d = 4	3.2	·	9	·	1	4	·	@MathysRennela	OpenAI GPT-5.6 Luna	2026-08-07
	[[80,16,4]]	hypergraph product	80	16	d = 4	3.2	·	12	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
	[[50,10,4]]known params	generalized bicycle2D-local bilayer	50	10	d = 4	3.2	0.0047	6	192	1	4	5	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[25,5,4]]	other2D-local single	25	5	d = 4	3.2	0.05	6	27	1	4	4.47	@MathysRennela	GLM 5.3 Flash	2026-09-06
★	[[40,2,8]]known params	generalized bicycle2D-local bilayer	40	2	d = 8	3.2	0.0093	6	213	1	4	6.4	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[152,6,9]]	generalized bicycle2D-local bilayer	152	6	d ≤ 9	3.197	0.0025	5	694	1.22	6	10	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
★	[[123,8,7]]	bivariate bicycle2D-local single	123	8	d = 7	3.187	0.0498	6	705	1	4	10	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[161,8,8]]	bivariate bicycle2D-local single	161	8	d = 8	3.18	0.0497	6	962	1	6	11.4	@vprusso	Claude Fable 5.1	2026-09-22
★	[[204,72,3]]known params	2bga-nonabelian2D-local bilayer	204	72	d = 3	3.176	0.0047	8	580	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[216,76,3]]known params	2bga-nonabelian2D-local bilayer	216	76	d = 3	3.167	0.0027	8	734	1	4	1.41	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[234,82,3]]known params	2bga-nonabelian2D-local bilayer	234	82	d = 3	3.154	0.0038	8	694	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[120,42,3]]	generalized bicycle2D-local bilayer	120	42	d = 3	3.15	0.0047	8	319	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[270,94,3]]known params	generalized bicycle2D-local bilayer	270	94	d = 3	3.133	0.002	8	1088	1	4	2.24	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[276,96,3]]known params	2bga-nonabelian2D-local bilayer	276	96	d = 3	3.13	0.0023	8	1170	1	4	2	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[270,5,13]]	bivariate bicycle2D-local bilayer	270	5	d ≤ 13	3.13	0.0122	6	514	1	4	11	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
★	[[288,100,3]]	bivariate bicycle2D-local bilayer	288	100	d = 3	3.125	0.0019	8	1282	1	4	2	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[49,17,3]]	other2D-local single	49	17	d = 3	3.122	0.0488	6	54	1	4	6.08	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[300,104,3]]known params	2bga-nonabelian2D-local bilayer	300	104	d = 3	3.12	0.0023	8	1231	1	4	3	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[306,106,3]]known params	generalized bicycle2D-local bilayer	306	106	d = 3	3.118	0.0019	8	1322	1	4	3.61	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[342,118,3]]	bivariate bicycle	342	118	d ≤ 3	3.105	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[62,12,4]]	local-sat-css2D-local single	62	12	d = 4	3.097	0.0484	6	102	1	4	4.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
★	[[546,10,13]]	generalized bicycle	546	10	d ≤ 13	3.095	·	5	·	1.23	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[64,22,3]]	local-sat-css2D-local single	64	22	d = 3	3.094	0.0483	6	74	1	4	4	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
★	[[396,136,3]]	bivariate bicycle2D-local bilayer	396	136	d = 3	3.091	0.0015	8	2219	1	4	4	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[276,5,13]]	bivariate bicycle2D-local bilayer	276	5	d = 13	3.062	0.012	6	509	1	4	11.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-11
	[[32,2,7]]	generalized bicycle2D-local bilayer	32	2	d = 7	3.062	0.0181	8	63	1	4	4.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[330,112,3]]	topological	330	112	d ≤ 3	3.055	·	6	·	1	6	·	@mathysrennela	MiMo-V2.6-Flash	2026-10-15
	[[672,228,3]]	bivariate bicycle	672	228	d = 3	3.054	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[696,236,3]]	bivariate bicycle	696	236	d = 3	3.052	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[690,234,3]]	bivariate bicycle	690	234	d = 3	3.052	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[160,6,9]]	bivariate bicycle2D-local bilayer	160	6	d = 9	3.038	0.0105	6	258	1.11	4	9.22	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
	[[240,6,11]]	bivariate bicycle2D-local bilayer	240	6	d = 11	3.025	0.0105	6	406	1.09	4	10	@FarLab and @vprusso	Claude Opus 4.8	2026-06-19
	[[158,53,3]]known params	check-deletion	158	53	d = 3	3.019	·	19	·	1	4	·	@vprusso	Claude Opus 5	2026-09-21
	[[130,8,7]]	bivariate bicycle2D-local single	130	8	d = 7	3.015	0.0471	6	746	1	6	11.7	@vprusso	Claude Fable 5.1	2026-09-20
★	[[696,232,3]]	bivariate bicycle	696	232	d = 3	3.0	·	6	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[324,108,3]]	bivariate bicycle	324	108	d ≤ 3	3.0	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[270,90,3]]	bivariate bicycle2D-local bilayer	270	90	d = 3	3.0	0.0044	6	878	1	4	5	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[234,78,3]]	bivariate bicycle2D-local bilayer	234	78	d = 3	3.0	0.0075	6	592	1	4	3.61	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[192,64,3]]	generalized bicycle2D-local bilayer	192	64	d = 3	3.0	0.0075	6	419	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[162,54,3]]	generalized bicycle2D-local bilayer	162	54	d = 3	3.0	0.0044	8	424	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[126,42,3]]	generalized bicycle2D-local bilayer	126	42	d = 3	3.0	0.0022	8	532	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[108,36,3]]	bivariate bicycle	108	36	d = 3	3.0	·	16	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
	[[90,30,3]]	generalized bicycle2D-local bilayer	90	30	d = 3	3.0	0.03	6	68	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[78,26,3]]	generalized bicycle2D-local single	78	26	d = 3	3.0	0.0469	6	119	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[66,22,3]]	generalized bicycle	66	22	d = 3	3.0	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[96,18,4]]known params	topological	96	18	d = 4	3.0	·	6	·	1.5	8	·	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[48,16,3]]⚙3	2BGA coset	48	16	d ≤ 3	3.0	·	6	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[42,14,3]]	generalized bicycle	42	14	d = 3	3.0	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[64,12,4]]	local-sat-css2D-local single	64	12	d = 4	3.0	0.0469	6	101	1	4	5	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-26
	[[36,12,3]]	other2D-local single	36	12	d = 3	3.0	0.0469	6	50	1	4	3	@mathysrennela	DeepSeek V4 Flash 0731	2026-09-18
★	[[30,10,3]]	generalized bicycle2D-local single	30	10	d = 3	3.0	0.0469	6	32	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[24,8,3]]	generalized bicycle2D-local single	24	8	d = 3	3.0	0.0469	6	30	1	4	3.16	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[24,8,3]]	generalized bicycle2D-local bilayer	24	8	d = 3	3.0	0.03	7	25	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[128,6,8]]	bivariate bicycle2D-local bilayer	128	6	d = 8	3.0	0.0104	6	196	1.12	4	6.32	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
★	[[98,6,7]]	generalized bicycle2D-local bilayer	98	6	d = 7	3.0	0.0075	5	312	1	6	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[72,6,6]]	bivariate bicycle2D-local bilayer	72	6	d = 6	3.0	0.0104	6	96	1	4	5.39	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
★	[[8,6,2]]	generalized bicycle2D-local single	8	6	d = 2	3.0	0.12	8	0	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[15,5,3]]	topological2D-local single	15	5	d = 3	3.0	0.12	5	16	1	6	2.83	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[12,4,3]]known params	2BGA coset	12	4	d ≤ 3	3.0	·	6	·	1	4	·	@FarLab	Claude Fable 5.1	2026-10-17
	[[54,2,9]]known params	generalized bicycle2D-local bilayer	54	2	d = 9	3.0	0.0044	6	193	1	6	4.47	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[24,2,6]]	generalized bicycle2D-local bilayer	24	2	d = 6	3.0	0.03	6	31	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[198,12,7]]	bivariate bicycle2D-local bilayer	198	12	d = 7	2.97	0.0074	6	487	1	4	9.85	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
	[[108,20,4]]	topological2D-local bilayer	108	20	d = 4	2.963	0.0044	6	351	1.5	8	8.54	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[158,52,3]]	hypergraph product	158	52	d = 3	2.962	·	19	·	1	4	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[120,22,4]]	topological2D-local bilayer	120	22	d = 4	2.933	0.0043	6	378	1.5	8	7	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[853,25,10]]	hypergraph product2D-local bilayer	853	25	d ≤ 10	2.931	0.0017	6	4500	1	6	17	@MathysRennela	Beam 1.0	2026-10-18
★	[[117,38,3]]	check-deletion2D-local bilayer	117	38	d = 3	2.923	0.0021	6	413	1	10	8.25	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[102,33,3]]	hypergraph product2D-local bilayer	102	33	d = 3	2.912	0.0035	11	263	1	4	5	@mathysrennela	Tencent Hy3	2026-07-17
★	[[34,2,7]]known params	generalized bicycle2D-local bilayer	34	2	d = 7	2.882	0.01	6	192	1	4	6.71	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
	[[119,38,3]]known params	check-deletion2D-local bilayer	119	38	d = 3	2.874	0.0021	6	411	1	10	5.1	@vprusso	Claude Opus 5	2026-09-22
★	[[504,10,12]]	generalized bicycle	504	10	d ≤ 12	2.857	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[102,8,6]]	bivariate bicycle2D-local single	102	8	d = 6	2.824	0.0441	6	570	1	6	11	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
	[[119,37,3]]known params	check-deletion2D-local bilayer	119	37	d = 3	2.798	0.002	6	423	1	10	8.94	@vprusso	Claude Opus 5	2026-09-21
★	[[18,2,5]]	other2D-local single	18	2	d = 5	2.778	0.111	7	27	1	4	3.61	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[18,2,5]]	generalized bicycle2D-local bilayer	18	2	d = 5	2.778	0.0434	8	7	1	4	2.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[170,52,3]]	hypergraph product	170	52	d = 3	2.753	·	19	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
	[[119,36,3]]known params	check-deletion2D-local bilayer	119	36	d ≤ 3	2.723	0.002	6	426	1.67	10	6.4	@vprusso	Claude Opus 5	2026-09-21
★	[[30,9,3]]⚙2	other	30	9	d ≤ 3	2.7	·	5	·	1	6	·	@MathysRennela	Beam 1.0	2026-10-19
	[[937,25,10]]	hypergraph product2D-local bilayer	937	25	d ≤ 10	2.668	0.0016	6	4978	1	6	17	@MathysRennela	Beam 1.0	2026-10-18
★	[[312,208,2]]known params	generalized bicycle	312	208	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[306,204,2]]known params	generalized bicycle	306	204	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,168,2]]known params	generalized bicycle	252	168	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[234,156,2]]known params	generalized bicycle	234	156	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[90,60,2]]known params	generalized bicycle	90	60	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[84,56,2]]known params	generalized bicycle	84	56	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[78,52,2]]known params	generalized bicycle	78	52	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[72,48,2]]known params	generalized bicycle	72	48	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[66,44,2]]known params	generalized bicycle	66	44	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[60,40,2]]known params	generalized bicycle	60	40	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[54,36,2]]known params	generalized bicycle	54	36	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[48,32,2]]known params	generalized bicycle	48	32	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[42,28,2]]known params	generalized bicycle	42	28	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[36,24,2]]known params	2bga-nonabelian	36	24	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[30,20,2]]known params	generalized bicycle	30	20	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[24,16,2]]known params	generalized bicycle	24	16	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[18,12,2]]known params	generalized bicycle	18	12	d = 2	2.667	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[192,8,8]]	generalized bicycle2D-local bilayer	192	8	d = 8	2.667	0.0039	5	685	1	8	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[108,8,6]]	bivariate bicycle2D-local single	108	8	d = 6	2.667	0.0417	6	602	1	6	11.7	@vprusso	Claude Fable 5.1	2026-09-20
★	[[12,8,2]]	other	12	8	d ≤ 2	2.667	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[12,8,2]]	generalized bicycle2D-local single	12	8	d = 2	2.667	0.0631	8	8	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[36,6,4]]	other2D-local single	36	6	d = 4	2.667	0.0417	6	65	1	4	4.12	@MathysRennela	GLM 5.3 Flash	2026-09-06
	[[24,4,4]]	generalized bicycle2D-local bilayer	24	4	d = 4	2.667	0.0417	5	22	1	6	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[6,4,2]]	other2D-local single	6	4	d = 2	2.667	0.427	6	0	1	acyclic	1.41	@MathysRennela	Mimo-V2.6-Flash	2026-09-27
★	[[12,2,4]]	other2D-local bilayer	12	2	d = 4	2.667	0.0158	6	6	1	4	4.12	@mathysrennela	GPT-6 Luna	2026-09-23
★	[[12,2,4]]	other2D-local single	12	2	d = 4	2.667	0.0631	6	13	1	4	3.16	@MathysRennela	Ox Alpha 1.0	2026-08-25
	[[119,35,3]]known params	check-deletion2D-local bilayer	119	35	d ≤ 3	2.647	0.0019	6	411	1.67	10	6.4	@vprusso	Claude Opus 5	2026-09-21
	[[112,6,7]]	bivariate bicycle2D-local bilayer	112	6	d = 7	2.625	0.0091	6	169	1.14	4	6.32	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
★	[[462,10,11]]	generalized bicycle	462	10	d ≤ 11	2.619	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
	[[168,48,3]]	generalized bicycle2D-local bilayer	168	48	d = 3	2.571	0.0015	8	940	1	4	4.47	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[84,6,6]]	generalized bicycle2D-local bilayer	84	6	d = 6	2.571	0.0079	5	206	1	6	7.81	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[28,2,6]]	generalized bicycle2D-local bilayer	28	2	d = 6	2.571	0.002	6	63	1	4	6	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[151,6,8]]	generalized bicycle2D-local bilayer	151	6	d = 8	2.543	0.002	5	692	1.38	6	9.22	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
★	[[24,15,2]]	other	24	15	d ≤ 2	2.5	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[64,10,4]]	local-sat-css2D-local single	64	10	d = 4	2.5	0.0391	6	90	1	4	3.16	@vprusso	Claude Fable 5.1 (Claude Code)	2026-09-24
★	[[16,10,2]]	generalized bicycle2D-local single	16	10	d = 2	2.5	0.1	8	8	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[180,2,15]]	generalized bicycle2D-local bilayer	180	2	d ≤ 15	2.5	0.0019	5	808	1	8	12	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[20,2,5]]	generalized bicycle2D-local bilayer	20	2	d = 5	2.5	0.0087	6	29	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[58,16,3]]known params	hypergraph product2D-local bilayer	58	16	d = 3	2.483	0.003	7	208	1	4	3.16	@mathysrennela		2026-07-17
	[[88,6,6]]	bivariate bicycle2D-local bilayer	88	6	d = 6	2.455	0.0303	6	199	1	4	7.33	Liang et al.		2025-04-11
★	[[11,3,3]]known params	other	11	3	d ≤ 3	2.455	·	6	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[11,3,3]]	other	11	3	d ≤ 3	2.455	·	6	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[11,3,3]]	check-deletion2D-local single	11	3	d = 3	2.455	0.0581	6	5	1	4	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-02
★	[[28,17,2]]	other	28	17	d ≤ 2	2.429	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[162,8,7]]	bivariate bicycle2D-local bilayer	162	8	d = 7	2.42	0.0378	6	126	1	6	8.06	@msilve160	Claude Sonnet 5	2026-09-18
	[[82,22,3]]	hypergraph product	82	22	d = 3	2.415	·	11	·	1	4	·	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[20,12,2]]	generalized bicycle2D-local single	20	12	d = 2	2.4	0.0568	8	48	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[30,8,3]]	topological2D-local single	30	8	d = 3	2.4	0.0375	5	66	1	6	3.61	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[40,6,4]]known params	topological2D-local bilayer	40	6	d = 4	2.4	0.0114	5	176	1	8	6	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[120,2,12]]known params	2bga-nonabelian	120	2	d ≤ 12	2.4	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[420,10,10]]	bivariate bicycle	420	10	d ≤ 10	2.381	·	5	·	1	6	·	@cbjuan	human	2026-10-07
★	[[32,19,2]]	other	32	19	d ≤ 2	2.375	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[38,10,3]]⚙3	other2D-local bilayer	38	10	d = 3	2.368	0.0113	5	150	1	8	3.61	@mathysrennela	MiMo-V2.6-Flash	2026-09-26
	[[65,17,3]]	hypergraph product2D-local bilayer	65	17	d = 3	2.354	0.0028	8	179	1	4	5.66	@mathysrennela	Tencent Hy3	2026-07-18
★	[[144,2,13]]known params	2bga-nonabelian	144	2	d ≤ 13	2.347	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[36,21,2]]	other	36	21	d ≤ 2	2.333	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[24,14,2]]	generalized bicycle2D-local bilayer	24	14	d = 2	2.333	0.0288	8	12	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[168,8,7]]	generalized bicycle2D-local bilayer	168	8	d = 7	2.333	0.0028	5	686	1	8	7.81	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[40,23,2]]	other	40	23	d ≤ 2	2.3	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[28,16,2]]	generalized bicycle2D-local single	28	16	d = 2	2.286	0.0541	8	48	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[14,8,2]]	generalized bicycle2D-local single	14	8	d = 2	2.286	0.0541	8	22	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[56,2,8]]⚙7	generalized bicycle2D-local bilayer	56	2	d = 8	2.286	0.0011	6	216	1	4	6.71	Wang et al.		2022-03-31
	[[87,22,3]]	hypergraph product	87	22	d = 3	2.276	·	11	·	1	4	·	@mathysrennela	Tencent Hy3	2026-07-17
★	[[44,25,2]]	other2D-local single	44	25	d ≤ 2	2.273	0.0538	8	17	1	4	1	@MathysRennela	Beam 1.0	2026-10-20
	[[22,2,5]]	generalized bicycle2D-local bilayer	22	2	d = 5	2.273	0.0227	6	22	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[30,17,2]]⚙2	other	30	17	d ≤ 2	2.267	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[32,18,2]]	generalized bicycle2D-local single	32	18	d = 2	2.25	0.0533	8	8	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[16,9,2]]	generalized bicycle2D-local single	16	9	d = 2	2.25	0.0533	8	25	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[128,8,6]]	bivariate bicycle2D-local single	128	8	d = 6	2.25	0.0352	6	732	1	6	10.4	Liang et al.		2025-04-11
	[[96,6,6]]	generalized bicycle2D-local bilayer	96	6	d = 6	2.25	0.0078	5	226	1	6	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[12,3,3]]known params	check-deletion2D-local single	12	3	d = 3	2.25	0.09	6	7	1.33	4	3.16	@vprusso	Claude Opus 5	2026-09-21
★	[[52,29,2]]	other2D-local single	52	29	d ≤ 2	2.231	0.0528	8	7	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-10-19
★	[[36,20,2]]	generalized bicycle2D-local single	36	20	d = 2	2.222	0.0526	8	0	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[18,10,2]]	generalized bicycle2D-local bilayer	18	10	d = 2	2.222	0.0347	8	4	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[40,22,2]]	generalized bicycle2D-local single	40	22	d = 2	2.2	0.0344	8	34	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[44,24,2]]	generalized bicycle2D-local single	44	24	d = 2	2.182	0.0516	8	36	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[48,26,2]]	generalized bicycle2D-local bilayer	48	26	d = 2	2.167	0.0217	8	86	1	4	0	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[24,13,2]]	generalized bicycle2D-local bilayer	24	13	d = 2	2.167	0.0267	8	10	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[52,28,2]]	generalized bicycle2D-local single	52	28	d = 2	2.154	0.051	8	16	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[56,30,2]]	generalized bicycle2D-local single	56	30	d = 2	2.143	0.0335	8	62	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[378,10,9]]	generalized bicycle	378	10	d ≤ 9	2.143	·	5	·	1	6	·	@FarLab	Gemini 4 Argon	2026-10-14
★	[[70,6,5]]known params	generalized bicycle	70	6	d = 5	2.143	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[60,32,2]]	generalized bicycle2D-local bilayer	60	32	d = 2	2.133	0.0213	8	70	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[30,16,2]]	generalized bicycle2D-local bilayer	30	16	d = 2	2.133	0.0074	8	45	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[23,1,7]]	other2D-local single	23	1	d = 7	2.13	0.0504	8	32	1	4	5.39	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[64,34,2]]	generalized bicycle2D-local single	64	34	d = 2	2.125	0.0503	8	32	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[32,17,2]]	generalized bicycle2D-local bilayer	32	17	d = 2	2.125	0.0212	8	15	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[100,53,2]]	other	100	53	d ≤ 2	2.12	·	8	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-20
★	[[68,36,2]]	generalized bicycle2D-local single	68	36	d = 2	2.118	0.0501	8	100	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[51,12,3]]	hypergraph product2D-local bilayer	51	12	d = 3	2.118	0.0053	7	91	1	4	8	@mathysrennela	Tencent Hy3	2026-07-17
★	[[72,38,2]]	generalized bicycle2D-local single	72	38	d = 2	2.111	0.033	8	76	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[76,40,2]]⚙2	bivariate bicycle	76	40	d ≤ 2	2.105	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[80,42,2]]	generalized bicycle2D-local bilayer	80	42	d = 2	2.1	0.0073	8	132	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[84,44,2]]	generalized bicycle2D-local bilayer	84	44	d = 2	2.095	0.021	8	54	1	4	0	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[88,46,2]]	generalized bicycle2D-local bilayer	88	46	d = 2	2.091	0.0209	8	56	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[92,48,2]]⚙2	bivariate bicycle	92	48	d ≤ 2	2.087	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[96,50,2]]	generalized bicycle2D-local bilayer	96	50	d = 2	2.083	0.0123	8	112	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[48,25,2]]	generalized bicycle2D-local bilayer	48	25	d = 2	2.083	0.0208	8	31	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[100,52,2]]⚙2	bivariate bicycle	100	52	d ≤ 2	2.08	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[104,54,2]]	generalized bicycle2D-local bilayer	104	54	d = 2	2.077	0.0123	8	76	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[162,84,2]]known params	2bga-nonabelian	162	84	d = 2	2.074	·	9	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[108,56,2]]⚙2	bivariate bicycle	108	56	d ≤ 2	2.074	·	8	·	1	4	·	@FarLab	Claude Opus 5.5	2026-10-17
★	[[112,58,2]]	generalized bicycle2D-local bilayer	112	58	d = 2	2.071	0.0064	8	188	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[120,62,2]]	generalized bicycle2D-local bilayer	120	62	d = 2	2.067	0.0122	8	96	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[64,33,2]]	generalized bicycle2D-local bilayer	64	33	d = 2	2.062	0.0206	8	38	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[136,70,2]]	generalized bicycle2D-local bilayer	136	70	d = 2	2.059	0.008	8	126	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[72,37,2]]	generalized bicycle2D-local bilayer	72	37	d = 2	2.056	0.0206	8	37	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[152,78,2]]	generalized bicycle2D-local bilayer	152	78	d = 2	2.053	0.0071	8	222	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[156,80,2]]	generalized bicycle2D-local bilayer	156	80	d = 2	2.051	0.0063	8	242	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[780,4,20]]known params	generalized bicycle	780	4	d ≤ 20	2.051	·	5	·	1	6	·	@vprusso	Claude Opus 5	2026-09-20
	[[80,41,2]]	generalized bicycle2D-local bilayer	80	41	d = 2	2.05	0.0205	8	33	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[184,94,2]]	generalized bicycle2D-local bilayer	184	94	d = 2	2.043	0.0051	8	336	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[240,10,7]]known params	2bga-nonabelian	240	10	d ≤ 7	2.042	·	5	·	1.14	8	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[48,2,7]]	generalized bicycle2D-local bilayer	48	2	d = 7	2.042	0.0071	5	127	1	6	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[200,102,2]]	generalized bicycle2D-local bilayer	200	102	d = 2	2.04	0.0051	8	414	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[240,122,2]]known params	generalized bicycle	240	122	d = 2	2.033	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[252,128,2]]known params	generalized bicycle	252	128	d = 2	2.032	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[248,126,2]]known params	generalized bicycle	248	126	d = 2	2.032	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[300,152,2]]known params	generalized bicycle	300	152	d = 2	2.027	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[292,148,2]]known params	generalized bicycle	292	148	d = 2	2.027	·	8	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[452,228,2]]	bivariate bicycle	452	228	d = 2	2.018	·	8	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[224,112,2]]	bivariate bicycle	224	112	d = 2	2.0	·	6	·	1	4	·	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[176,88,2]]	generalized bicycle2D-local bilayer	176	88	d = 2	2.0	0.005	8	378	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[168,84,2]]	generalized bicycle2D-local bilayer	168	84	d = 2	2.0	0.003	8	474	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[160,80,2]]	generalized bicycle2D-local bilayer	160	80	d = 2	2.0	0.005	8	380	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[156,78,2]]	generalized bicycle2D-local bilayer	156	78	d = 2	2.0	0.0017	8	538	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[152,76,2]]	generalized bicycle2D-local bilayer	152	76	d = 2	2.0	0.0062	8	228	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[144,72,2]]	generalized bicycle2D-local bilayer	144	72	d = 2	2.0	0.005	8	242	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[136,68,2]]	generalized bicycle2D-local bilayer	136	68	d = 2	2.0	0.0078	8	154	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[128,64,2]]	generalized bicycle2D-local bilayer	128	64	d = 2	2.0	0.0069	8	274	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[120,60,2]]	generalized bicycle2D-local bilayer	120	60	d = 2	2.0	0.0024	8	472	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[112,56,2]]	generalized bicycle2D-local bilayer	112	56	d = 2	2.0	0.0069	8	174	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[108,54,2]]	generalized bicycle2D-local bilayer	108	54	d = 2	2.0	0.003	8	346	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[104,52,2]]	generalized bicycle2D-local bilayer	104	52	d = 2	2.0	0.0118	8	96	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[100,50,2]]	generalized bicycle2D-local bilayer	100	50	d = 2	2.0	0.02	6	92	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[96,48,2]]	generalized bicycle2D-local bilayer	96	48	d = 2	2.0	0.0312	6	38	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[92,46,2]]	generalized bicycle2D-local single	92	46	d = 2	2.0	0.0473	6	136	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[88,44,2]]	generalized bicycle2D-local single	88	44	d = 2	2.0	0.0473	6	80	1	4	2.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[84,42,2]]	generalized bicycle2D-local single	84	42	d = 2	2.0	0.0312	6	128	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[80,40,2]]	generalized bicycle2D-local single	80	40	d = 2	2.0	0.0473	6	106	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[76,38,2]]	generalized bicycle2D-local single	76	38	d = 2	2.0	0.0473	6	96	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[72,36,2]]	generalized bicycle2D-local single	72	36	d = 2	2.0	0.08	6	56	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[68,34,2]]	generalized bicycle2D-local single	68	34	d = 2	2.0	0.0473	6	116	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[64,32,2]]	generalized bicycle2D-local single	64	32	d = 2	2.0	0.08	6	52	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[60,30,2]]	generalized bicycle2D-local single	60	30	d = 2	2.0	0.0473	6	88	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[56,28,2]]	generalized bicycle2D-local single	56	28	d = 2	2.0	0.08	6	38	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[52,26,2]]	generalized bicycle2D-local single	52	26	d = 2	2.0	0.08	6	26	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[48,24,2]]	generalized bicycle2D-local single	48	24	d = 2	2.0	0.08	6	20	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[44,22,2]]	generalized bicycle2D-local single	44	22	d = 2	2.0	0.0988	6	0	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[40,20,2]]	generalized bicycle2D-local single	40	20	d = 2	2.0	0.08	6	32	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[36,18,2]]	generalized bicycle2D-local single	36	18	d = 2	2.0	0.0988	6	12	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[32,16,2]]	generalized bicycle2D-local single	32	16	d = 2	2.0	0.08	6	22	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[28,14,2]]	generalized bicycle2D-local single	28	14	d = 2	2.0	0.08	6	36	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[294,12,7]]known params	2bga-nonabelian	294	12	d = 7	2.0	·	5	·	1	6	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
★	[[24,12,2]]	generalized bicycle2D-local bilayer	24	12	d = 2	2.0	0.02	7	24	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[20,10,2]]	generalized bicycle2D-local single	20	10	d = 2	2.0	0.0988	6	10	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[100,8,5]]	generalized bicycle2D-local bilayer	100	8	d = 5	2.0	0.005	5	343	1	8	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[16,8,2]]	generalized bicycle2D-local single	16	8	d = 2	2.0	0.0988	6	4	1	4	2.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[14,7,2]]	other	14	7	d ≤ 2	2.0	·	6	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[588,6,14]]known params	generalized bicycle	588	6	d ≤ 14	2.0	·	5	·	1	6	·	@vprusso	Claude Opus 5	2026-09-21
	[[108,6,6]]	generalized bicycle2D-local bilayer	108	6	d = 6	2.0	0.0062	5	262	1	6	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[12,6,2]]	other	12	6	d ≤ 2	2.0	·	6	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[12,6,2]]⚙2	other	12	6	d = 2	2.0	·	5	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[18,4,3]]⚙3LER record	other2D-local single	18	4	d = 3	2.0	0.0312	5	24	1	4	3	@vprusso	Claude Fable 5	2026-08-26
	[[8,4,2]]	generalized bicycle2D-local single	8	4	d = 2	2.0	0.08	6	4	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[900,2,30]]	topological2D-local single	900	2	d ≤ 30	2.0	0.125	4	2464	1	8	30.1	@mathysrennela		2026-09-20
★	[[784,2,28]]	topological2D-local single	784	2	d ≤ 28	2.0	0.125	4	2132	1	8	28.2	@mathysrennela		2026-09-20
★	[[676,2,26]]	topological2D-local single	676	2	d ≤ 26	2.0	0.125	4	1824	1	8	25.3	@mathysrennela		2026-09-20
★	[[576,2,24]]	topological2D-local single	576	2	d ≤ 24	2.0	0.125	4	1540	1	8	23.8	@mathysrennela		2026-09-20
★	[[484,2,22]]	topological2D-local single	484	2	d ≤ 22	2.0	0.125	4	1280	1	8	21.4	@mathysrennela		2026-09-20
★	[[400,2,20]]	topological2D-local single	400	2	d ≤ 20	2.0	0.125	4	1044	1	8	19.9	@mathysrennela		2026-09-20
★	[[324,2,18]]	topological2D-local single	324	2	d = 18	2.0	0.125	4	832	1	8	17.5	@mathysrennela		2026-09-20
★	[[256,2,16]]	topological2D-local single	256	2	d = 16	2.0	0.125	4	644	1	8	15.5	@mathysrennela		2026-09-20
★	[[196,2,14]]	bivariate bicycle2D-local bilayer	196	2	d = 14	2.0	0.005	4	489	1	8	8.6	@pandey-tushar	Claude Opus 5	2026-09-18
★	[[144,2,12]]	multivariate-bicycle2D-local bilayer	144	2	d = 12	2.0	0.003	4	438	1	8	12	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[100,2,10]]known params	generalized bicycle2D-local bilayer	100	2	d = 10	2.0	0.0118	4	205	1	8	8	@vprusso	Claude Opus 5	2026-09-20
★	[[64,2,8]]⚙8	topological2D-local single	64	2	d = 8	2.0	0.125	4	132	1	8	9.22	Kitaev, A. Yu.		1997-07-09
★	[[36,2,6]]⚙6	topological2D-local single	36	2	d = 6	2.0	0.125	4	64	1	8	7.07	Kitaev, A. Yu.		1997-07-09
★	[[16,2,4]]⚙4LER record	topological2D-local single	16	2	d = 4	2.0	0.125	4	20	1	8	4.24	Kitaev, A. Yu.		1997-07-09
★	[[4,2,2]]	topological2D-local single	4	2	d = 2	2.0	2	4	0	1	4	1.41	@mathysrennela		2026-09-20
★	[[362,2,19]]	generalized bicycle2D-local bilayer	362	2	d ≤ 19	1.994	0.0012	4	1384	1	8	13	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[226,2,15]]known params	generalized bicycle2D-local bilayer	226	2	d = 15	1.991	0.005	4	632	1	8	10	@vprusso	Claude Opus 5	2026-09-20
★	[[170,2,13]]known params	generalized bicycle2D-local bilayer	170	2	d = 13	1.988	0.0069	4	378	1	8	11.2	@vprusso	Claude Opus 5	2026-09-20
★	[[122,2,11]]	generalized bicycle2D-local bilayer	122	2	d = 11	1.984	0.0117	4	222	1	8	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[82,2,9]]	generalized bicycle2D-local bilayer	82	2	d = 9	1.976	0.0198	4	126	1	8	6.4	@vprusso	Claude Opus 5	2026-09-20
	[[146,18,4]]known params	bivariate bicycle	146	18	d = 4	1.973	·	6	·	1	6	·	Zijian Liang et al.		2025
★	[[50,2,7]]	topological2D-local single	50	2	d = 7	1.96	0.0464	4	118	1	8	8.25	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[454,2,21]]	generalized bicycle2D-local bilayer	454	2	d ≤ 21	1.943	0.0012	4	2010	1	8	15.5	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[298,2,17]]	generalized bicycle2D-local bilayer	298	2	d = 17	1.94	0.0017	4	1025	1	8	10.4	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[84,2,9]]known params⚙9	bivariate bicycle2D-local bilayer	84	2	d = 9	1.929	0.0046	4	361	1	8	14.1	@mathysrennela		2026-08-16
	[[26,2,5]]	generalized bicycle2D-local bilayer	26	2	d = 5	1.923	0.0031	6	37	1	4	5.1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[50,6,4]]⚙4LER record	bivariate bicycle2D-local bilayer	50	6	d = 4	1.92	0.0768	6	54	1	4	4	@FarLab and @vprusso	Claude Opus 4.8	2026-06-16
	[[422,2,20]]	generalized bicycle	422	2	d ≤ 20	1.896	·	4	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[52,2,7]]	generalized bicycle2D-local single	52	2	d = 7	1.885	0.0446	4	123	1	8	8.06	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[562,2,23]]known params	generalized bicycle	562	2	d ≤ 23	1.883	·	4	·	1	8	·	@vprusso	Claude Opus 5	2026-09-21
	[[346,2,18]]	generalized bicycle	346	2	d ≤ 18	1.873	·	4	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[278,2,16]]	generalized bicycle	278	2	d = 16	1.842	·	4	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[110,2,10]]	generalized bicycle2D-local bilayer	110	2	d = 10	1.818	0.0182	4	190	1	8	5.1	@vprusso	Claude Opus 5	2026-09-20
	[[54,2,7]]	generalized bicycle2D-local single	54	2	d = 7	1.815	0.043	4	127	1	8	5	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[980,196,3]]	hypergraph product	980	196	d ≤ 3	1.8	0	5	14294	1	8	14	@MathysRennela	Beam 1.0	2026-10-18
★	[[845,169,3]]	hypergraph product	845	169	d ≤ 3	1.8	0	5	11310	1	8	13	@MathysRennela	Beam 1.0	2026-10-18
★	[[720,144,3]]	hypergraph product	720	144	d ≤ 3	1.8	0	5	8772	1	8	12	@MathysRennela	Beam 1.0	2026-10-18
★	[[500,100,3]]	hypergraph product	500	100	d ≤ 3	1.8	0.0001	5	4890	1	8	10	@MathysRennela	Beam 1.0	2026-10-18
★	[[405,81,3]]	hypergraph product	405	81	d ≤ 3	1.8	0.0001	5	3474	1	8	17	@MathysRennela	Beam 1.0	2026-10-18
★	[[320,64,3]]	hypergraph product	320	64	d ≤ 3	1.8	0.0001	5	2360	1	8	15	@MathysRennela	Beam 1.0	2026-10-18
★	[[245,49,3]]	hypergraph product	245	49	d ≤ 3	1.8	0.0002	5	1512	1	8	8	@MathysRennela	Beam 1.0	2026-10-18
★	[[125,25,3]]	hypergraph product2D-local bilayer	125	25	d ≤ 3	1.8	0.0011	5	470	1	8	5	@MathysRennela	Beam 1.0	2026-10-18
	[[45,9,3]]known params	hypergraph product2D-local bilayer	45	9	d = 3	1.8	0.0107	5	158	1	6	3.61	@mathysrennela		2026-07-17
★	[[10,2,3]]	topological2D-local single	10	2	d = 3	1.8	0.072	4	11	1	6	3.16	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[10,2,3]]	generalized bicycle2D-local single	10	2	d = 3	1.8	0.072	6	13	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[700,2,25]]	generalized bicycle	700	2	d ≤ 25	1.786	·	4	·	1	8	·	@MathysRennela	GLM 5.3 Flash (Zed agent)	2026-09-20
	[[112,2,10]]	multivariate-bicycle2D-local bilayer	112	2	d = 10	1.786	0.0017	4	358	1	8	8.94	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-15
★	[[944,105,4]]	topological2D-local single	944	105	d = 4	1.78	0.0879	4	11	1	6	4.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-09
	[[36,16,2]]	generalized bicycle2D-local bilayer	36	16	d = 2	1.778	0.0069	7	73	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[18,8,2]]	generalized bicycle2D-local bilayer	18	8	d = 2	1.778	0.0278	7	14	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[127,1,15]]	topological2D-local single	127	1	d = 15	1.772	0.0419	8	126	1	4	15.6	@mathysrennela	GLM 5.3 Flash	2026-09-21
★	[[838,164,3]]	topological2D-local bilayer	838	164	d = 3	1.761	0.0176	8	79	1	4	2.24	@vprusso	Claude Fable 5.1	2026-10-12
	[[957,105,4]]	topological2D-local single	957	105	d = 4	1.755	1.76	4	0	1	8	3.16	@vaibhav-baj	Claude Opus 5.5 (Claude Code)	2026-10-06
★	[[869,169,3]]	topological2D-local bilayer	869	169	d = 3	1.75	0.0175	8	69	1	4	2	@vprusso	Claude Fable 5.1	2026-10-12
	[[56,2,7]]	generalized bicycle2D-local single	56	2	d = 7	1.75	0.0414	4	131	1	8	7.21	@mathysrennela	Mimo-V2.6-Free	2026-09-27
★	[[897,173,3]]	topological2D-local bilayer	897	173	d = 3	1.736	0.0174	8	70	1	4	4.24	@vprusso	Claude Fable 5.1	2026-10-12
	[[899,173,3]]	topological2D-local bilayer	899	173	d = 3	1.732	0.0173	8	60	1	4	2.24	@mathysrennela	MiMo-V2.6-Flash	2026-10-08
	[[560,2,22]]	generalized bicycle	560	2	d ≤ 22	1.729	·	4	·	1	8	·	@MathysRennela	GLM 5.3 Flash (Zed agent)	2026-09-20
★	[[888,170,3]]	topological2D-local bilayer	888	170	d = 3	1.723	0.0172	8	60	1	4	3.16	@vprusso	Claude Fable 5.1	2026-10-12
	[[262,2,15]]	generalized bicycle	262	2	d = 15	1.718	·	4	·	1	8	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[42,8,3]]⚙3LER record	generalized bicycle2D-local bilayer	42	8	d = 3	1.714	0.0011	6	106	1	4	5.1	Wang et al.		2022-03-31
★	[[14,6,2]]known params⚙2LER record	bivariate bicycle2D-local single	14	6	d = 2	1.714	0.0406	6	20	1	4	1.73	Zijian Liang et al.		2025
	[[672,2,24]]	generalized bicycle	672	2	d ≤ 24	1.714	·	4	·	1	8	·	@MathysRennela	GLM 5.3 Flash (Zed agent)	2026-09-20
★	[[71,1,11]]	topological2D-local single	71	1	d = 11	1.704	0.0403	8	70	1	4	16.1	@mathysrennela	GLM 5.3 Flash	2026-09-21
	[[37,7,3]]⚙3	topological2D-local single	37	7	d = 3	1.703	0.489	6	16	1	4	2	@mathysrennela	OpenAI GPT-5.6 Luna	2026-08-02
	[[58,2,7]]	generalized bicycle2D-local single	58	2	d = 7	1.69	0.0264	4	144	1	8	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[923,173,3]]	topological2D-local single	923	173	d = 3	1.687	0.27	4	1	1	4	2.83	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-05
	[[925,173,3]]	topological2D-local single	925	173	d = 3	1.683	1.68	4	0	1	4	2.24	@mrvee-qC-bee	GPT-6 Astra	2026-10-01
★	[[676,71,4]]	lifted product	676	71	d = 4	1.68	·	5	·	1	8	·	@npdeep	Magic State Labs (Custom) v0.1	2026-08-12
	[[48,20,2]]	generalized bicycle2D-local bilayer	48	20	d = 2	1.667	0.0167	7	75	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[12,5,2]]⚙2	other	12	5	d ≤ 2	1.667	·	5	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[854,157,3]]	topological2D-local single	854	157	d = 3	1.655	0.0662	4	12	1	4	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-09
	[[861,157,3]]	topological2D-local single	861	157	d = 3	1.641	0.081	4	12	1	4	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-06
	[[945,172,3]]	topological2D-local single	945	172	d = 3	1.638	1.64	4	7	1	4	2.24	@vprusso		2026-09-24
	[[931,169,3]]	topological2D-local single	931	169	d = 3	1.634	1.63	4	5	1	4	2.24	@vprusso		2026-09-24
	[[865,157,3]]	topological2D-local single	865	157	d = 3	1.634	0.0807	4	7	1	4	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-03
	[[874,157,3]]	topological2D-local single	874	157	d = 3	1.617	1.62	4	1	1	4	2.24	@vprusso		2026-09-24
	[[60,24,2]]	generalized bicycle2D-local bilayer	60	24	d = 2	1.6	0.0063	7	94	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[30,12,2]]	generalized bicycle2D-local bilayer	30	12	d = 2	1.6	0.0055	7	61	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[20,8,2]]	generalized bicycle2D-local bilayer	20	8	d = 2	1.6	0.0063	7	14	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[961,169,3]]	topological2D-local single	961	169	d = 3	1.583	1.58	4	10	1	4	2.24	@mathysrennela		2026-09-20
	[[31,1,7]]⚙7	topological2D-local single	31	1	d = 7	1.581	0.0374	8	30	1	4	8.25	@mathysrennela	GLM 5.3 Flash	2026-09-21
★	[[651,114,3]]	topological2D-local single	651	114	d = 3	1.576	0.252	4	5	1	6	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-10
	[[653,114,3]]	topological2D-local single	653	114	d = 3	1.571	0.251	4	3	1	6	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[655,114,3]]	topological2D-local single	655	114	d = 3	1.566	0.251	4	1	1	8	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[656,114,3]]	topological2D-local single	656	114	d = 3	1.564	1.56	4	0	1	8	2.24	@npdeep	Magic State Labs (Custom) v0.1	2026-08-13
	[[72,28,2]]	generalized bicycle2D-local bilayer	72	28	d = 2	1.556	0.0156	7	76	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[63,2,7]]	topological2D-local single	63	2	d = 7	1.556	0.0972	4	127	1.14	8	7.62	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
	[[136,52,2]]	generalized bicycle	136	52	d = 2	1.529	·	8	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[152,58,2]]	generalized bicycle2D-local bilayer	152	58	d = 2	1.526	0.0023	8	336	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[84,32,2]]	generalized bicycle2D-local bilayer	84	32	d = 2	1.524	0.009	7	85	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[42,16,2]]	generalized bicycle	42	16	d = 2	1.524	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[192,72,2]]	generalized bicycle2D-local bilayer	192	72	d = 2	1.5	0.0037	6	482	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[176,66,2]]	generalized bicycle2D-local bilayer	176	66	d = 2	1.5	0.0037	6	458	1	4	3	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[160,60,2]]	generalized bicycle2D-local bilayer	160	60	d = 2	1.5	0.0052	6	230	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[144,54,2]]	generalized bicycle2D-local bilayer	144	54	d = 2	1.5	0.0089	6	201	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[128,48,2]]	generalized bicycle	128	48	d = 2	1.5	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[112,42,2]]	generalized bicycle2D-local bilayer	112	42	d = 2	1.5	0.0089	6	133	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[96,36,2]]	generalized bicycle2D-local bilayer	96	36	d = 2	1.5	0.0059	7	133	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[80,30,2]]	generalized bicycle2D-local bilayer	80	30	d = 2	1.5	0.015	6	80	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[64,24,2]]	generalized bicycle2D-local bilayer	64	24	d = 2	1.5	0.015	6	70	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[48,18,2]]	generalized bicycle2D-local bilayer	48	18	d = 2	1.5	0.0185	6	43	1	4	0	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[32,12,2]]	generalized bicycle2D-local bilayer	32	12	d = 2	1.5	0.0185	6	33	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[8,3,2]]	other	8	3	d ≤ 2	1.5	·	4	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[8,3,2]]	other2D-local single	8	3	d = 2	1.5	0.24	4	1	1	4	1	@mathysrennela	GPT-6 Luna	2026-09-23
	[[12,2,3]]⚙3LER record	other2D-local single	12	2	d = 3	1.5	0.24	4	16	1	4	3	@MathysRennela		2026-08-25
	[[108,40,2]]	generalized bicycle2D-local bilayer	108	40	d = 2	1.481	0.0088	7	102	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[17,1,5]]	topological2D-local single	17	1	d = 5	1.471	0.0348	8	16	1	4	8.06	@mathysrennela	GLM 5.3 Flash	2026-09-21
★	[[17,1,5]]	other2D-local single	17	1	d = 5	1.471	0.0588	6	12	1	4	5.39	@mathysrennela	Mimo-V2.6-Free	2026-09-27
	[[120,44,2]]	generalized bicycle	120	44	d = 2	1.467	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[676,110,3]]	topological2D-local single	676	110	d = 3	1.464	1.46	4	0	1	8	2.83	@npdeep	Magic State Labs (Custom) v0.1	2026-08-12
	[[132,48,2]]	generalized bicycle	132	48	d = 2	1.455	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[565,51,4]]	other2D-local single	565	51	d = 4	1.444	0.0713	4	31	1	6	3.16	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-17
★	[[156,56,2]]	generalized bicycle2D-local bilayer	156	56	d = 2	1.436	0.0044	7	282	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[168,60,2]]	generalized bicycle2D-local bilayer	168	60	d = 2	1.429	0.0049	7	287	1	4	3.61	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[216,76,2]]known params	generalized bicycle	216	76	d = 2	1.407	·	7	·	1	4	·	Lee, Gideon	Mimo-V2.6-Flash	2026-10-12
	[[630,2,21]]	other	630	2	d ≤ 21	1.4	·	4	·	1	8	·	@mathysrennela	GLM 5.3 Flash (Zed agent)	2026-09-19
★	[[368,8,8]]	topological2D-local single	368	8	d = 8	1.391	0.087	4	904	1	8	14.1	@FarLab	Claude Fable 5	2026-08-13
★	[[360,122,2]]	topological	360	122	d = 2	1.356	·	6	·	1	4	·	@MathysRennela	MiMo-V2.6-Flash	2026-10-10
★	[[998,54,5]]	topological2D-local single	998	54	d = 5	1.353	1.35	4	0	1	8	4	@victor-onofre	Claude Opus 5	2026-09-19
★	[[964,52,5]]	topological2D-local single	964	52	d = 5	1.349	1.35	4	0	1	8	4.12	@victor-onofre	Claude Opus 5	2026-09-19
★	[[930,50,5]]	topological2D-local single	930	50	d = 5	1.344	1.34	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[837,45,5]]	topological2D-local single	837	45	d = 5	1.344	1.34	4	0	1	8	4.12	@victor-onofre	Claude Opus 5	2026-09-19
★	[[913,49,5]]	topological2D-local single	913	49	d = 5	1.342	1.34	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[820,44,5]]	topological2D-local single	820	44	d = 5	1.341	1.34	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[989,53,5]]	topological2D-local single	989	53	d = 5	1.34	1.34	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[786,42,5]]	topological2D-local single	786	42	d = 5	1.336	1.34	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[955,51,5]]	topological2D-local single	955	51	d = 5	1.335	1.34	4	0	1	8	4.12	@mathysrennela		2026-09-20
★	[[862,46,5]]	topological2D-local single	862	46	d = 5	1.334	1.33	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
	[[180,60,2]]	generalized bicycle2D-local bilayer	180	60	d = 2	1.333	0.0008	7	833	1	4	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[168,56,2]]	generalized bicycle2D-local bilayer	168	56	d = 2	1.333	0.0013	7	578	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[156,52,2]]	generalized bicycle2D-local bilayer	156	52	d = 2	1.333	0.001	7	660	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[144,48,2]]	generalized bicycle	144	48	d = 2	1.333	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[132,44,2]]	generalized bicycle	132	44	d = 2	1.333	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[769,41,5]]	topological2D-local single	769	41	d = 5	1.333	1.33	4	0	1	8	4.47	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
	[[120,40,2]]	generalized bicycle	120	40	d = 2	1.333	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[108,36,2]]	generalized bicycle2D-local bilayer	108	36	d = 2	1.333	0.001	7	386	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[84,28,2]]	generalized bicycle2D-local bilayer	84	28	d = 2	1.333	0.0052	7	95	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[72,24,2]]	generalized bicycle2D-local bilayer	72	24	d = 2	1.333	0.0052	7	88	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[48,16,2]]	generalized bicycle	48	16	d = 2	1.333	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[12,4,2]]	generalized bicycle	12	4	d = 2	1.333	·	5	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[12,4,2]]	other2D-local single	12	4	d = 2	1.333	0.213	4	2	1	4	1.41	@mathysrennela	GPT-6 Luna	2026-09-23
★	[[12,4,2]]	other	12	4	d ≤ 2	1.333	·	4	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[12,4,2]]known params⚙2LER record	bivariate bicycle2D-local single	12	4	d = 2	1.333	0.109	6	2	1	4	2	Zijian Liang et al.		2025
★	[[676,36,5]]	other2D-local single	676	36	d = 5	1.331	1.33	4	0	1	8	4.47	@Xo1otl	Claude Opus 5	2026-08-20
★	[[659,35,5]]	other2D-local single	659	35	d = 5	1.328	1.33	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[735,39,5]]	topological2D-local single	735	39	d = 5	1.327	1.33	4	0	1	8	4.47	@mathysrennela		2026-09-20
★	[[37,1,7]]known params	topological2D-local single	37	1	d = 7	1.324	0.38	6	16	1	4	6.61	@FarLab	Claude Opus 5	2026-07-26
	[[946,50,5]]	topological2D-local single	946	50	d = 5	1.321	1.32	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[625,33,5]]	other2D-local single	625	33	d = 5	1.32	1.32	4	0	1	8	4	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[912,48,5]]	topological2D-local single	912	48	d = 5	1.316	1.32	4	0	1	8	4.12	@mathysrennela		2026-09-20
★	[[760,40,5]]	topological2D-local single	760	40	d = 5	1.316	1.32	4	0	1	8	4	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[608,32,5]]	local-2d-single2D-local single	608	32	d = 5	1.316	1.32	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[532,28,5]]	local-2d-single2D-local single	532	28	d = 5	1.316	1.32	4	0	1	8	4.47	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[19,1,5]]known params	topological2D-local single	19	1	d = 5	1.316	0.378	6	14	1	4	3.75	@FarLab	Claude Opus 5	2026-07-26
★	[[819,43,5]]	topological2D-local single	819	43	d = 5	1.313	1.31	4	0	1	8	4.47	@mathysrennela		2026-09-20
★	[[515,27,5]]	local-2d-single2D-local single	515	27	d = 5	1.311	1.31	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[726,38,5]]	topological2D-local single	726	38	d = 5	1.309	1.31	4	0	1	8	4.12	@mathysrennela		2026-09-20
	[[937,49,5]]	topological2D-local single	937	49	d = 5	1.307	1.31	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
★	[[899,47,5]]	topological2D-local single	899	47	d = 5	1.307	1.31	4	0	1	8	4.47	@mathysrennela		2026-09-20
★	[[574,30,5]]	local-2d-single2D-local single	574	30	d = 5	1.307	1.31	4	0	1	8	4	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[937,25,7]]	topological2D-local single	937	25	d ≤ 7	1.307	1.31	4	0	1	8	6.08	@mathysrennela		2026-09-20
	[[785,41,5]]	topological2D-local single	785	41	d = 5	1.306	1.31	4	0	1	8	4.12	@mathysrennela		2026-09-20
★	[[709,37,5]]	topological2D-local single	709	37	d = 5	1.305	1.3	4	0	1	8	4.12	@mathysrennela		2026-09-20
	[[671,35,5]]	topological2D-local single	671	35	d = 5	1.304	1.3	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[595,31,5]]	local-2d-single2D-local single	595	31	d = 5	1.303	1.3	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[557,29,5]]	local-2d-single2D-local single	557	29	d = 5	1.302	1.3	4	0	1	8	4.47	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[715,19,7]]	topological2D-local single	715	19	d ≤ 7	1.302	1.3	4	0	1	8	6.32	@mathysrennela		2026-09-20
	[[519,27,5]]	local-2d-single2D-local single	519	27	d = 5	1.301	1.3	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[641,17,7]]	topological2D-local single	641	17	d = 7	1.3	1.3	4	0	1	8	6.71	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[481,25,5]]	local-2d-single2D-local single	481	25	d = 5	1.299	1.3	4	0	1	8	4.47	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[935,15,9]]	topological2D-local single	935	15	d = 9	1.299	1.3	4	0	1	8	8.54	@victor-onofre	Claude Opus 5.5	2026-10-07
	[[886,46,5]]	topological2D-local single	886	46	d = 5	1.298	1.3	4	0	1	8	4.12	@mathysrennela		2026-09-20
★	[[443,23,5]]	local-2d-single2D-local single	443	23	d = 5	1.298	1.3	4	0	1	8	5	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[810,42,5]]	topological2D-local single	810	42	d = 5	1.296	1.3	4	0	1	8	4.12	@mathysrennela		2026-09-20
★	[[405,21,5]]	local-2d-single2D-local single	405	21	d = 5	1.296	1.3	4	0	1	8	5.66	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[567,15,7]]	local-2d-single2D-local single	567	15	d = 7	1.296	1.3	4	0	1	8	6.32	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[367,19,5]]	other2D-local single	367	19	d = 5	1.294	1.29	4	0	1	8	4.47	@Xo1otl	Claude Opus 5	2026-08-20
★	[[658,34,5]]	local-2d-single2D-local single	658	34	d = 5	1.292	1.29	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[329,17,5]]	local-2d-single2D-local single	329	17	d = 5	1.292	1.29	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[493,13,7]]	local-2d-single2D-local single	493	13	d = 7	1.292	1.29	4	0	1	8	6.32	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[632,51,4]]	other2D-local single	632	51	d = 4	1.291	0.0638	4	20	1	6	3.16	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
	[[582,30,5]]	local-2d-single2D-local single	582	30	d = 5	1.289	1.29	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[388,20,5]]	local-2d-single2D-local single	388	20	d = 5	1.289	1.29	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[291,15,5]]	local-2d-single2D-local single	291	15	d = 5	1.289	1.29	4	0	1	8	4.47	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[691,11,9]]	topological2D-local single	691	11	d = 9	1.289	1.29	4	0	1	8	8.25	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[419,11,7]]	local-2d-single2D-local single	419	11	d = 7	1.286	1.29	4	0	1	8	6.71	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[14,2,3]]	other2D-local single	14	2	d = 3	1.286	0.0201	4	15	1	4	2.24	@MathysRennela		2026-08-25
★	[[7,1,3]]⚙2	topological2D-local single	7	1	d = 3	1.286	0.321	4	0	1	4	2	Steane, Andrew M.		1996-01-29
★	[[506,26,5]]	local-2d-single2D-local single	506	26	d = 5	1.285	1.28	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[253,13,5]]	other2D-local single	253	13	d = 5	1.285	1.28	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[849,9,11]]	topological2D-local single	849	9	d = 11	1.283	1.28	4	0	1	8	10.4	@victor-onofre	Claude Opus 5.5	2026-10-07
★	[[569,9,9]]	other2D-local single	569	9	d = 9	1.281	1.28	4	0	1	8	10	@Xo1otl	Claude Opus 5	2026-08-20
★	[[430,22,5]]	local-2d-single2D-local single	430	22	d = 5	1.279	1.28	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[215,11,5]]	other2D-local single	215	11	d = 5	1.279	1.28	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[331,47,3]]	local-2d-single2D-local single	331	47	d = 3	1.278	1.28	4	0	1	8	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[317,45,3]]	local-2d-single2D-local single	317	45	d = 3	1.278	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[345,9,7]]	other2D-local single	345	9	d = 7	1.278	1.28	4	0	1	8	6.32	@Xo1otl	Claude Opus 5	2026-08-20
★	[[303,43,3]]	local-2d-single2D-local single	303	43	d = 3	1.277	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[289,41,3]]	local-2d-single2D-local single	289	41	d = 3	1.277	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[275,39,3]]	local-2d-single2D-local single	275	39	d = 3	1.276	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[261,37,3]]	local-2d-single2D-local single	261	37	d = 3	1.276	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[640,51,4]]	other2D-local single	640	51	d = 4	1.275	0.063	4	18	1	6	3.61	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
★	[[247,35,3]]	local-2d-single2D-local single	247	35	d = 3	1.275	1.28	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[233,33,3]]	local-2d-single2D-local single	233	33	d = 3	1.275	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[219,31,3]]	local-2d-single2D-local single	219	31	d = 3	1.274	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[205,29,3]]	local-2d-single2D-local single	205	29	d = 3	1.273	1.27	4	0	1	8	2	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[191,27,3]]	local-2d-single2D-local single	191	27	d = 3	1.272	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[177,25,3]]	local-2d-single2D-local single	177	25	d = 3	1.271	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[354,18,5]]	local-2d-single2D-local single	354	18	d = 5	1.271	1.27	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[177,9,5]]	other2D-local single	177	9	d = 5	1.271	1.27	4	0	1	8	5.66	@Xo1otl	Claude Opus 5	2026-08-20
★	[[931,7,13]]	topological2D-local single	931	7	d ≤ 13	1.271	1.27	4	0	1	8	13	@mathysrennela		2026-09-20
	[[126,40,2]]	generalized bicycle	126	40	d = 2	1.27	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[163,23,3]]	local-2d-single2D-local single	163	23	d = 3	1.27	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[667,7,11]]	other2D-local single	667	7	d = 11	1.27	1.27	4	0	1	8	10.2	@Xo1otl	Claude Opus 5	2026-08-20
★	[[149,21,3]]⚙3LER record	local-2d-single2D-local single	149	21	d = 3	1.268	1.27	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[447,7,9]]	other2D-local single	447	7	d = 9	1.268	1.27	4	0	1	8	8.25	@Xo1otl	Claude Opus 5	2026-08-20
★	[[135,19,3]]⚙3LER record	local-2d-single2D-local single	135	19	d = 3	1.267	1.27	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[271,7,7]]	other2D-local single	271	7	d = 7	1.266	1.27	4	0	1	8	6.71	@Xo1otl	Claude Opus 5	2026-08-20
★	[[121,17,3]]⚙3LER record	local-2d-single2D-local single	121	17	d = 3	1.264	1.26	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[107,15,3]]⚙3LER record	local-2d-single2D-local single	107	15	d = 3	1.262	1.26	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[278,14,5]]	other2D-local single	278	14	d = 5	1.259	1.26	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[139,7,5]]⚙5	other2D-local single	139	7	d = 5	1.259	1.26	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[93,13,3]]⚙3LER record	local-2d-single2D-local single	93	13	d = 3	1.258	1.26	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[651,51,4]]	other2D-local single	651	51	d = 4	1.253	0.0619	4	17	1	6	3.16	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
★	[[79,11,3]]⚙3LER record	local-2d-single2D-local single	79	11	d = 3	1.253	1.25	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[192,60,2]]	generalized bicycle2D-local bilayer	192	60	d = 2	1.25	0.002	6	515	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[160,50,2]]	generalized bicycle	160	50	d = 2	1.25	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[128,40,2]]	generalized bicycle	128	40	d = 2	1.25	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[480,24,5]]	topological2D-local single	480	24	d = 5	1.25	1.25	4	0	1	8	4.12	@MathysRennela	Space Bunny Alpha 1.0	2026-10-07
	[[32,10,2]]	generalized bicycle2D-local bilayer	32	10	d = 2	1.25	0.0125	6	27	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[677,5,13]]	topological2D-local single	677	5	d = 13	1.248	1.25	4	0	1	8	12.2	@mathysrennela		2026-08-13
★	[[485,5,11]]	topological2D-local single	485	5	d = 11	1.247	1.25	4	0	1	8	10.4	@mathysrennela		2026-08-13
★	[[65,9,3]]⚙3LER record	local-2d-single2D-local single	65	9	d = 3	1.246	1.25	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[325,5,9]]	topological2D-local single	325	5	d = 9	1.246	1.25	4	0	1	8	8.06	@mathysrennela		2026-08-13
	[[90,28,2]]	generalized bicycle2D-local bilayer	90	28	d = 2	1.244	0.0031	7	212	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[197,5,7]]known params	topological2D-local single	197	5	d = 7	1.244	1.24	4	0	1	8	6.71	@mathysrennela		2026-08-13
★	[[202,10,5]]	other2D-local single	202	10	d = 5	1.238	1.24	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[101,5,5]]known params⚙5	topological2D-local single	101	5	d = 5	1.238	1.24	4	0	1	8	4.12	@mathysrennela		2026-08-13
	[[663,91,3]]	other2D-local single	663	91	d = 3	1.235	1.24	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[51,7,3]]⚙3	local-2d-single2D-local single	51	7	d = 3	1.235	1.24	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[621,85,3]]	local-2d-single2D-local single	621	85	d = 3	1.232	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[570,78,3]]	other2D-local single	570	78	d = 3	1.232	1.23	4	0	1	12	2.24	@Xo1otl	Claude Opus 5	2026-08-20
★	[[607,83,3]]	local-2d-single2D-local single	607	83	d = 3	1.231	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[549,75,3]]	local-2d-single2D-local single	549	75	d = 3	1.23	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[244,12,5]]	local-2d-single2D-local single	244	12	d = 5	1.23	1.23	4	0	1	8	4.12	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[630,86,3]]	local-2d-single2D-local single	630	86	d = 3	1.229	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[616,84,3]]	local-2d-single2D-local single	616	84	d = 3	1.227	1.23	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[565,77,3]]	local-2d-single2D-local single	565	77	d = 3	1.227	1.23	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[528,72,3]]	local-2d-single2D-local single	528	72	d = 3	1.227	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[484,66,3]]	local-2d-single2D-local single	484	66	d = 3	1.227	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[665,51,4]]	other2D-local single	665	51	d = 4	1.227	0.196	4	11	1	6	3.16	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
★	[[44,6,3]]⚙3LER record	other2D-local single	44	6	d = 3	1.227	0.196	4	6	1	6	2.83	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[558,76,3]]	local-2d-single2D-local single	558	76	d = 3	1.226	1.23	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[477,65,3]]	local-2d-single2D-local single	477	65	d = 3	1.226	1.23	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[500,68,3]]	local-2d-single2D-local single	500	68	d = 3	1.224	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[449,61,3]]	local-2d-single2D-local single	449	61	d = 3	1.223	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[648,88,3]]	local-2d-single2D-local single	648	88	d = 3	1.222	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[442,60,3]]	local-2d-single2D-local single	442	60	d = 3	1.222	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[405,55,3]]	local-2d-single2D-local single	405	55	d = 3	1.222	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[597,81,3]]	local-2d-single2D-local single	597	81	d = 3	1.221	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[435,59,3]]	local-2d-single2D-local single	435	59	d = 3	1.221	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[398,54,3]]	other2D-local single	398	54	d = 3	1.221	1.22	4	0	1	12	2.24	@Xo1otl	Claude Opus 5	2026-08-20
★	[[546,74,3]]	local-2d-single2D-local single	546	74	d = 3	1.22	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[669,51,4]]	other2D-local single	669	51	d = 4	1.22	0.195	4	7	1	6	3	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[384,52,3]]	local-2d-single2D-local single	384	52	d = 3	1.219	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[643,87,3]]	local-2d-single2D-local single	643	87	d = 3	1.218	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[495,67,3]]	local-2d-single2D-local single	495	67	d = 3	1.218	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[555,75,3]]	local-2d-single2D-local single	555	75	d = 3	1.216	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[370,50,3]]	local-2d-single2D-local single	370	50	d = 3	1.216	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[666,10,9]]	other2D-local single	666	10	d = 9	1.216	1.22	4	0	1	8	8.25	@Xo1otl	Claude Opus 5	2026-08-20
★	[[37,5,3]]⚙3LER record	local-2d-single2D-local single	37	5	d = 3	1.216	1.22	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[511,69,3]]	local-2d-single2D-local single	511	69	d = 3	1.215	1.22	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[326,44,3]]	local-2d-single2D-local single	326	44	d = 3	1.215	1.21	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[467,63,3]]	local-2d-single2D-local single	467	63	d = 3	1.214	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[393,53,3]]	local-2d-single2D-local single	393	53	d = 3	1.214	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[672,51,4]]	other2D-local single	672	51	d = 4	1.214	0.06	4	5	1	6	3	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[423,57,3]]	local-2d-single2D-local single	423	57	d = 3	1.213	1.21	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[379,51,3]]	local-2d-single2D-local single	379	51	d = 3	1.211	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[342,46,3]]	local-2d-single2D-local single	342	46	d = 3	1.211	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[335,45,3]]	local-2d-single2D-local single	335	45	d = 3	1.209	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[676,51,4]]	other2D-local single	676	51	d = 4	1.207	1.21	4	0	1	8	4.24	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[545,73,3]]	local-2d-single2D-local single	545	73	d = 3	1.206	1.21	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[434,58,3]]	local-2d-single2D-local single	434	58	d = 3	1.203	1.2	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[200,60,2]]	generalized bicycle2D-local bilayer	200	60	d = 2	1.2	0.001	6	658	1	4	2.83	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[180,54,2]]	generalized bicycle2D-local bilayer	180	54	d = 2	1.2	0.0018	6	513	1	4	1.41	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[360,48,3]]	local-2d-single2D-local single	360	48	d = 3	1.2	1.2	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[160,48,2]]	generalized bicycle	160	48	d = 2	1.2	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[140,42,2]]	generalized bicycle	140	42	d = 2	1.2	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[120,36,2]]	generalized bicycle	120	36	d = 2	1.2	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[80,24,2]]	generalized bicycle2D-local bilayer	80	24	d = 2	1.2	0.0071	6	110	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[30,4,3]]⚙3LER record	other2D-local single	30	4	d = 3	1.2	0.0593	4	4	1	8	2.24	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
★	[[423,3,13]]	local-2d-single2D-local single	423	3	d = 13	1.199	1.2	4	0	1	8	12.2	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[323,43,3]]	local-2d-single2D-local single	323	43	d = 3	1.198	1.2	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[303,3,11]]	local-2d-single2D-local single	303	3	d = 11	1.198	1.2	4	0	1	8	10.8	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[203,3,9]]	local-2d-single2D-local single	203	3	d = 9	1.197	1.2	4	0	1	8	8.25	@mathysrennela	GLM 5.3 Flash	2026-08-31
	[[615,15,7]]	other2D-local single	615	15	d = 7	1.195	1.2	4	0	1	8	6.08	@Xo1otl	Claude Opus 5	2026-08-20
★	[[123,3,7]]⚙7	local-2d-single2D-local single	123	3	d = 7	1.195	1.2	4	0	1	8	7.21	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[528,70,3]]	local-2d-single2D-local single	528	70	d = 3	1.193	1.19	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[378,50,3]]	local-2d-single2D-local single	378	50	d = 3	1.19	1.19	4	0	1	12	2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[168,8,5]]	other2D-local single	168	8	d = 5	1.19	1.19	4	0	1	8	4.47	@Xo1otl	Claude Opus 5	2026-08-20
★	[[126,6,5]]⚙5	other2D-local single	126	6	d = 5	1.19	1.19	4	0	1	8	4.12	@Xo1otl	Claude Opus 5	2026-08-20
★	[[63,3,5]]⚙5	local-2d-single2D-local single	63	3	d = 5	1.19	1.19	4	0	1	8	4.47	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[318,42,3]]	local-2d-single2D-local single	318	42	d = 3	1.189	1.19	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[578,14,7]]	other2D-local single	578	14	d = 7	1.187	1.19	4	0	1	8	6.08	@mathysrennela	GLM 5.3 Flash	2026-08-29
★	[[552,8,9]]	local-2d-single2D-local single	552	8	d = 9	1.174	1.17	4	0	1	8	8.54	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[414,6,9]]	local-2d-single2D-local single	414	6	d = 9	1.174	1.17	4	0	1	8	8.25	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[23,3,3]]⚙3LER record	local-2d-single2D-local single	23	3	d = 3	1.174	1.17	4	0	1	8	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[418,10,7]]	other2D-local single	418	10	d = 7	1.172	1.17	4	0	1	8	6.08	@Xo1otl	Claude Opus 5	2026-08-20
	[[144,42,2]]	generalized bicycle	144	42	d = 2	1.167	·	6	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[192,14,4]]	generalized bicycle2D-local bilayer	192	14	d = 4	1.167	0.0007	5	914	1	6	3.16	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[317,41,3]]	local-2d-single2D-local single	317	41	d = 3	1.164	1.16	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[78,10,3]]⚙3LER record	local-2d-single2D-local single	78	10	d = 3	1.154	1.15	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[630,6,11]]	local-2d-single2D-local single	630	6	d ≤ 11	1.152	0.0569	4	9	1	6	10.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-10-09
	[[632,6,11]]	local-2d-single2D-local single	632	6	d ≤ 11	1.149	0.0567	4	6	1	6	11.2	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
	[[633,6,11]]	local-2d-single2D-local single	633	6	d = 11	1.147	0.0566	4	4	1	6	10.4	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-16
	[[634,6,11]]	local-2d-single2D-local single	634	6	d = 11	1.145	0.183	4	2	1	6	11.7	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-15
	[[126,36,2]]	generalized bicycle	126	36	d = 2	1.143	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[84,24,2]]	generalized bicycle2D-local bilayer	84	24	d = 2	1.143	0.0017	7	332	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[168,12,4]]	generalized bicycle2D-local bilayer	168	12	d = 4	1.143	0.0008	5	829	1	6	8.06	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[636,6,11]]	local-2d-single2D-local single	636	6	d = 11	1.142	1.14	4	0	1	8	11.2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[344,8,7]]	local-2d-single2D-local single	344	8	d = 7	1.14	1.14	4	0	1	8	6	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[258,6,7]]	local-2d-single2D-local single	258	6	d = 7	1.14	1.14	4	0	1	8	6.32	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[672,85,3]]	topological2D-local single	672	85	d = 3	1.138	1.14	4	0	1	8	2	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-13
★	[[288,9,6]]	other2D-local single	288	9	d ≤ 6	1.125	0.0266	8	284	1.33	4	14.9	@MathysRennela	DeepSeek V4.1 Flash	2026-09-29
★	[[64,8,3]]⚙3	local-2d-single2D-local single	64	8	d = 3	1.125	1.12	4	0	1	12	2.24	@mathysrennela	GLM 5.3 Flash	2026-09-01
	[[48,6,3]]	other2D-local single	48	6	d = 3	1.125	1.12	4	0	1	8	2.24	@mathysrennela	Omen Alpha 1.0	2026-09-09
	[[700,85,3]]	topological2D-local single	700	85	d = 3	1.093	1.09	4	0	1	8	2.24	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-12
	[[162,44,2]]	generalized bicycle	162	44	d = 2	1.086	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[50,6,3]]	other2D-local single	50	6	d = 3	1.08	1.08	4	0	1	8	2.83	@mathysrennela	ox-alpha 1.0	2026-08-26
	[[90,24,2]]	generalized bicycle2D-local bilayer	90	24	d = 2	1.067	0.0027	7	197	1	4	1	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[34,4,3]]	other2D-local single	34	4	d = 3	1.059	1.06	4	0	1	8	2.24	@mathysrennela	Omen Alpha 1.0	2026-09-09
★	[[205,6,6]]	other2D-local single	205	6	d = 6	1.054	0.0421	4	25	1	6	5.83	@dorakingx	Claude Opus 5 (Claude Code)	2026-09-20
	[[168,44,2]]	generalized bicycle	168	44	d = 2	1.048	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[84,22,2]]	generalized bicycle	84	22	d = 2	1.048	·	7	·	1	4	·	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[97,25,2]]⚙2	hypergraph product2D-local bilayer	97	25	d ≤ 2	1.031	0.0006	5	328	1	8	5	@MathysRennela	Beam 1.0	2026-10-18
	[[208,52,2]]	bivariate bicycle2D-local bilayer	208	52	d = 2	1.0	0.0008	6	824	1	4	4.47	@cbjuan	GPT 5.6 Sol	2026-09-16
★	[[28,7,2]]⚙2	other	28	7	d ≤ 2	1.0	·	5	·	1	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[36,4,3]]	other2D-local single	36	4	d = 3	1.0	1	4	0	1	8	2.83	@mathysrennela	GLM 5.3 Flash	2026-08-31
★	[[961,1,31]]	topological2D-local single	961	1	d ≤ 31	1.0	1	4	0	1	8	31	@mathysrennela		2026-09-20
★	[[841,1,29]]	topological2D-local single	841	1	d ≤ 29	1.0	1	4	0	1	8	28.3	@mathysrennela		2026-09-20
★	[[729,1,27]]	topological2D-local single	729	1	d ≤ 27	1.0	1	4	0	1	8	26.5	@mathysrennela		2026-09-20
★	[[625,1,25]]	topological2D-local single	625	1	d ≤ 25	1.0	1	4	0	1	8	24.2	@mathysrennela		2026-09-20
★	[[529,1,23]]	topological2D-local single	529	1	d ≤ 23	1.0	1	4	0	1	8	23.1	@mathysrennela		2026-09-20
★	[[441,1,21]]	topological2D-local single	441	1	d ≤ 21	1.0	1	4	0	1	8	20.1	@mathysrennela		2026-09-20
★	[[361,1,19]]	topological2D-local single	361	1	d = 19	1.0	1	4	0	1	8	18.2	@mathysrennela		2026-09-20
★	[[289,1,17]]	topological2D-local single	289	1	d = 17	1.0	1	4	0	1	8	16.3	@mathysrennela		2026-09-20
★	[[225,1,15]]	topological2D-local single	225	1	d = 15	1.0	1	4	0	1	8	14.6	@mathysrennela		2026-09-20
★	[[169,1,13]]	topological2D-local single	169	1	d = 13	1.0	1	4	0	1	8	12	@mathysrennela		2026-09-20
★	[[121,1,11]]	local-2d-single2D-local single	121	1	d = 11	1.0	1	4	0	1	8	11.2	@mathysrennela	GLM 5.3 Flash	2026-09-01
★	[[81,1,9]]⚙9	topological2D-local single	81	1	d = 9	1.0	1	4	0	1	8	8.94	Kitaev, A. Yu.		1997-07-09
★	[[49,1,7]]⚙7	topological2D-local single	49	1	d = 7	1.0	1	4	0	1	8	6.08	Kitaev, A. Yu.		1997-07-09
★	[[25,1,5]]⚙5LER record	topological2D-local single	25	1	d = 5	1.0	1	4	0	1	8	4.12	Kitaev, A. Yu.		1997-07-09
	[[696,76,3]]	topological2D-local single	696	76	d = 3	0.983	0.983	4	0	1	8	2.24	@vprusso	Claude Opus 5	2026-08-11
	[[700,75,3]]	topological2D-local single	700	75	d = 3	0.964	0.964	4	0	1	8	2.24	@aarontrowbridge	Muse Spark 1.2	2026-08-10
★	[[450,12,6]]	other2D-local single	450	12	d ≤ 6	0.96	0.0227	8	446	1.67	4	19.1	@MathysRennela	DeepSeek V4.1 Flash	2026-09-29
★	[[650,144,2]]	hypergraph product	650	144	d ≤ 2	0.886	0	5	7601	1	8	12	@MathysRennela	Beam 1.0	2026-10-18
★	[[769,169,2]]	hypergraph product	769	169	d ≤ 2	0.879	0	5	9912	1	8	12	@MathysRennela	Beam 1.0	2026-10-18
★	[[8,7,1]]	other	8	7	d ≤ 1	0.875	·	8	·	2	acyclic	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[898,196,2]]	hypergraph product	898	196	d ≤ 2	0.873	0	5	12649	1	8	14	@MathysRennela	Beam 1.0	2026-10-18
★	[[28,6,2]]	generalized bicycle2D-local bilayer	28	6	d = 2	0.857	0.0014	5	62	1	4	2.24	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
	[[256,6,6]]	other2D-local single	256	6	d = 6	0.844	0.844	4	0	1	8	5.39	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-17
★	[[6,5,1]]	other	6	5	d ≤ 1	0.833	·	6	·	2	acyclic	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[12,9,1]]	other	12	9	d ≤ 1	0.75	·	8	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[4,3,1]]	other	4	3	d ≤ 1	0.75	·	4	·	2	acyclic	·	@MathysRennela	Beam 1.0	2026-10-19
	[[700,57,3]]	topological2D-local single	700	57	d = 3	0.733	0.733	4	0	1	8	2.83	@aarontrowbridge	Muse Spark 1.2	2026-08-09
	[[625,50,3]]	topological2D-local single	625	50	d = 3	0.72	0.72	4	0	1	8	2.83	@aarontrowbridge	Kimi K3 (Amicode)	2026-08-07
	[[598,25,4]]	topological2D-local single	598	25	d = 4	0.669	0.669	4	0	1	8	3	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-12
	[[361,26,3]]	topological2D-local single	361	26	d = 3	0.648	0.648	4	0	1	8	2.83	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-09
	[[14,9,1]]	other	14	9	d ≤ 1	0.643	·	8	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[8,5,1]]	other	8	5	d ≤ 1	0.625	·	6	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[108,16,2]]	generalized bicycle2D-local bilayer	108	16	d = 2	0.593	0.0009	5	349	1	4	2	@MathysRennela	DeepSeek V4 Flash 0731	2026-09-19
★	[[12,7,1]]	other	12	7	d ≤ 1	0.583	·	6	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[169,10,3]]	topological2D-local single	169	10	d = 3	0.533	0.532	4	0	1	8	2.83	@mathysrennela	DeepSeek V4 Flash 0731	2026-08-09
	[[14,7,1]]	other	14	7	d ≤ 1	0.5	·	6	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[12,6,1]]	other	12	6	d ≤ 1	0.5	·	5	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[8,4,1]]	other	8	4	d ≤ 1	0.5	·	4	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
★	[[12,5,1]]	other	12	5	d ≤ 1	0.417	·	4	·	2	4	·	@MathysRennela	Beam 1.0	2026-10-19
	[[10,4,1]]	other	10	4	d ≤ 1	0.4	·	4	·	3	6	·	@MathysRennela	Beam 1.0	2026-10-19

Recently added · last 10 by submission date

[[872,222,20]]★pair-partition CPM@nihoniumqcsubmission2026-10-21
[[288,32,18]]★generalized bicycle@MathysRennelasubmission2026-10-21
[[44,25,2]]★other@MathysRennelasubmission2026-10-20
[[31,21,3]]★other@MathysRennelasubmission2026-10-20
[[100,53,2]]★other@MathysRennelasubmission2026-10-20
[[8,7,1]]★other@MathysRennelasubmission2026-10-19
[[8,5,1]]other@MathysRennelasubmission2026-10-19
[[8,4,1]]★other@MathysRennelasubmission2026-10-19
[[8,3,2]]★other@MathysRennelasubmission2026-10-19
[[6,5,1]]★other@MathysRennelasubmission2026-10-19

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