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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 21,951–22,000
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.23265 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23266 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23291 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23295 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23300 | 3 | 12 | 211 | 1 | ✓ | {31} | -1 | ? |
| 3.12.23303 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23305 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23306 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23309 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23314 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23316 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23318 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23320 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23322 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23323 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23325 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23326 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23342 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23346 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23352 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23370 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23378 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23379 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23389 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23392 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23397 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23399 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23408 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23414 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23415 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23416 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23422 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23423 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23429 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23430 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23434 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23439 | 3 | 12 | 209 | 1 | ✓ | {13} | -1 | ? |
| 3.12.23442 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23447 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23451 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23456 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23475 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23478 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23482 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23483 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23487 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23488 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23490 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23491 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23495 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |