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 20,301–20,350
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.69065 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69067 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69075 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69076 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69078 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69079 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69081 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69085 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69087 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69088 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69090 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69091 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69111 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69113 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69115 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69119 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69121 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69129 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69130 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69132 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69133 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69135 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69139 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69141 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69142 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69144 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69206 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69231 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69233 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.69300 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69301 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69302 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69303 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69305 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69308 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.69317 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69318 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69319 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69320 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69322 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69324 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69332 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.69333 | 3 | 11 | 156 | 2 | ✓ | all | 3 | rational |
| 3.11.69334 | 3 | 11 | 155 | 2 | ✓ | all | 3 | rational |
| 3.11.69336 | 3 | 11 | 155 | 2 | ✓ | all | 3 | rational |
| 3.11.69339 | 3 | 11 | 155 | 2 | ✓ | all | 3 | rational |
| 3.11.69347 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69348 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69349 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.69351 | 3 | 11 | 152 | 2 | ✓ | all | 3 | rational |