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 22,701–22,750
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.453025 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.453063 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.453121 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453168 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.453241 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.453248 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453254 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453288 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.453356 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453364 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.453377 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453388 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453391 | 3 | 12 | 206 | 1 | ✓ | all | 6 | ? |
| 3.12.453392 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453483 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453576 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.453591 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.453612 | 3 | 12 | 210 | 8 | ✓ | all | 6 | ? |
| 3.12.453708 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.453879 | 3 | 12 | 211 | 1 | ✓ | all | 6 | ? |
| 3.12.454012 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.454201 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.454268 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454278 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454280 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454283 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454314 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454319 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.454332 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454342 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454405 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454415 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454478 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.454549 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454553 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454571 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454593 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.454692 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.455023 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455025 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455069 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455082 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455083 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455086 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.455087 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455119 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455154 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455164 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.455213 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.455224 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |