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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.
381,906 matroids, showing 19,551–19,600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.376337 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376350 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376355 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376381 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376501 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376506 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376518 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376556 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376564 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376572 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.376589 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376608 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376609 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.376625 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376634 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376640 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376701 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376743 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.376804 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.376839 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.376867 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.376900 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376942 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376945 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376981 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376990 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.376992 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.376994 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377075 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377087 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377092 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377094 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377097 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377103 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377104 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377111 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377127 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377150 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377151 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377182 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377219 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377250 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377318 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377324 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377339 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377453 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377469 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377502 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377534 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377619 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |