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.
2,030,492 matroids, showing 22,851–22,900
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.181499 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.181518 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181566 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.181576 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.181580 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.181647 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.181660 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.181675 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.181678 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181687 | 3 | 12 | 208 | 2 | ✓ | all but 2 | 0 | ? |
| 3.12.181708 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181711 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181728 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181734 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181737 | 3 | 12 | 209 | 1 | ✓ | all but 2,7,13 | 0 | ? |
| 3.12.181738 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,11 | 0 | ? |
| 3.12.181773 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.181809 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.181822 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181824 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.181864 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181869 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181870 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181884 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181891 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181898 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.181938 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.182033 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.182040 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.182089 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.182093 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.182101 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.182145 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.182180 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.182197 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.182203 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.182230 | 3 | 12 | 209 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.182233 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.182242 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.182251 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,13 | 0 | ? |
| 3.12.182275 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.182294 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.182298 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,17 | 0 | ? |
| 3.12.182328 | 3 | 12 | 207 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.182334 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.182341 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.182352 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.182372 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.182414 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.182415 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |