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 19,651–19,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.138188 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.138212 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.138214 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.138286 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138294 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138305 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138306 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138308 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.138323 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.138327 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.138338 | 3 | 12 | 213 | 2 | ✓ | all but 2 | 0 | ? |
| 3.12.138352 | 3 | 12 | 211 | 1 | ✓ | all | 0 | ? |
| 3.12.138386 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.138392 | 3 | 12 | 210 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.138403 | 3 | 12 | 211 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.138428 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138466 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138470 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.138476 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138478 | 3 | 12 | 210 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.138479 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138495 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138503 | 3 | 12 | 211 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138510 | 3 | 12 | 211 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138513 | 3 | 12 | 211 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138514 | 3 | 12 | 211 | 1 | ✓ | all | 0 | ? |
| 3.12.138518 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138521 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138524 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138543 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138548 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138549 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138571 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138572 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138577 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138601 | 3 | 12 | 210 | 1 | ✓ | all but 5 | 0 | ? |
| 3.12.138603 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138616 | 3 | 12 | 210 | 1 | ✓ | all but 5,11 | 0 | ? |
| 3.12.138627 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138635 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.138645 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138648 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138656 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138678 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138687 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.138700 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138704 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138719 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138729 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.138764 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |