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…or describe it by its bases, non-bases or lines
Any labeling of the ground set $\{1,\dots,n\}$ will do: we compute the canonical id.
Sets are written as {1,2,3}, one per line, or, when $n \le 9$, as digit strings such as
123 145. Lines are the lines with at least three points of a simple rank-3 matroid.
A revlex encoding is a string of * and 0.
4,238,885 matroids, showing 18,801–18,850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.2337 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2338 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2345 | 3 | 12 | 211 | 2 | ✓ | {3} | -1 | ? |
| 3.12.2346 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2347 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2348 | 3 | 12 | 211 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.2353 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2358 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2361 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2364 | 3 | 12 | 212 | 1 | ✓ | {2} | -1 | ? |
| 3.12.2366 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2369 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2371 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2376 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2377 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2378 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2379 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2394 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2400 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2407 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2412 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2413 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2415 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2416 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2417 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2419 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2425 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2433 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2434 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2439 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2452 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2461 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2463 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2466 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2467 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2472 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2473 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2474 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2476 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2479 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2483 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2484 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2488 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2491 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2507 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2508 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2511 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2516 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2518 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2522 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |