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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 22,601–22,650
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.178485 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178486 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.178494 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178496 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178498 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178499 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178504 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178519 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.178539 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178544 | 3 | 12 | 207 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178545 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.178552 | 3 | 12 | 207 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.178554 | 3 | 12 | 207 | 1 | ✓ | all | 0 | ? |
| 3.12.178558 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178561 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.178567 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178590 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.178597 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178602 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178635 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178644 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178650 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178655 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.178673 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178684 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178692 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178740 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178747 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178757 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178760 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7,13 | 0 | ? |
| 3.12.178763 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.178767 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.178783 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178784 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178817 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178821 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178824 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7,13 | 0 | ? |
| 3.12.178834 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.178838 | 3 | 12 | 207 | 1 | ✓ | all | 0 | ? |
| 3.12.178841 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178853 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.178881 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178887 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178906 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178916 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178947 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178955 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178968 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178974 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178991 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |