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…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 19,401–19,450
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.134808 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.134833 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7,11,13,17 | 0 | ? |
| 3.12.134857 | 3 | 12 | 211 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.134859 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.134864 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.134868 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.134886 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.134908 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.134948 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.134953 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.134960 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.134970 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.134990 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.135002 | 3 | 12 | 209 | 2 | ✓ | all but 2 | 0 | ? |
| 3.12.135007 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135045 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.135048 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135122 | 3 | 12 | 212 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135123 | 3 | 12 | 211 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135124 | 3 | 12 | 211 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135151 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.135203 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135211 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.135212 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135228 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135245 | 3 | 12 | 209 | 2 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135276 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135286 | 3 | 12 | 212 | 1 | ✓ | all but 2,3,17 | 0 | ? |
| 3.12.135321 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.135323 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135341 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135342 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135345 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.135351 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135357 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135361 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,11 | 0 | ? |
| 3.12.135365 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135367 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,17 | 0 | ? |
| 3.12.135373 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.135389 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135394 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.135395 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135406 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135409 | 3 | 12 | 211 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135416 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.135421 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135422 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.135425 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.135440 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.135454 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |