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.
6,662,718 matroids, showing 20,351–20,400
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.69354 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69362 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69363 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69364 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69365 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69367 | 3 | 11 | 155 | 1 | ✓ | all | 3 | rational |
| 3.11.69370 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69373 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69374 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69375 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69376 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69377 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69378 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69380 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69382 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69390 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69391 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69392 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69393 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69395 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69397 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69400 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69401 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69402 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69403 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69404 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.69405 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69407 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69409 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69416 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69417 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69418 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69428 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69429 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69430 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69432 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69435 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69642 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69643 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69644 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69645 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69647 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69648 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69649 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69650 | 3 | 11 | 151 | 1 | ✓ | all | 3 | empty |
| 3.11.69652 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69653 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69654 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.69655 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69663 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |