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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 21,801–21,850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.21282 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21292 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21324 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21328 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21334 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21339 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21342 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21348 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21351 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21354 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21358 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21362 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21367 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21371 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21384 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21387 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21406 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21422 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21426 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21427 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21463 | 3 | 12 | 209 | 1 | ✓ | {43} | -1 | ? |
| 3.12.21488 | 3 | 12 | 209 | 1 | ✓ | {101} | -1 | ? |
| 3.12.21542 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21554 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21562 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21568 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21608 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21611 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21629 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21630 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21653 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21685 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21691 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21695 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21726 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21731 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21753 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21756 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21757 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21765 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21766 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21783 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21786 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21810 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21817 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21856 | 3 | 12 | 210 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.21892 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21913 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21924 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22003 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |