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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 21,651–21,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.20310 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20311 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20313 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20324 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20328 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20348 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20352 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20355 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20360 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20361 | 3 | 12 | 211 | 1 | ✓ | {19} | -1 | ? |
| 3.12.20370 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20371 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20385 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20390 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20393 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20397 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20408 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20413 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20416 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.20418 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20419 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20425 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20428 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20447 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20456 | 3 | 12 | 210 | 1 | ✓ | {11} | -1 | ? |
| 3.12.20462 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20476 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20478 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20496 | 3 | 12 | 211 | 2 | ✓ | {19} | -1 | ? |
| 3.12.20500 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20503 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20506 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20516 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20533 | 3 | 12 | 211 | 2 | ✓ | {127} | -1 | ? |
| 3.12.20534 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20537 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20540 | 3 | 12 | 210 | 1 | ✓ | {59} | -1 | ? |
| 3.12.20543 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20547 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20548 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20549 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20559 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20570 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20571 | 3 | 12 | 211 | 1 | ✓ | {19} | -1 | ? |
| 3.12.20576 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20577 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20578 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20615 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20616 | 3 | 12 | 210 | 1 | ✓ | {47} | -1 | ? |
| 3.12.20620 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |