Search
…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 19,601–19,650
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.377632 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377633 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377646 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377678 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377700 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377719 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377730 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377748 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377782 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377783 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377792 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.377804 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377839 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377848 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377849 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377858 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.377873 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377899 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377907 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377909 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377925 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377937 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.377949 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377953 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377954 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.377993 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.377996 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378007 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.378140 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.378244 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.378249 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378255 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378258 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378265 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378268 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378282 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378284 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378310 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378341 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378359 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378402 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378411 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378436 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378437 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378483 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378527 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378543 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378601 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.378628 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.378662 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |