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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.
4,238,885 matroids, showing 18,651–18,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.1305 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1308 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1338 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1358 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1368 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1376 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1384 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1408 | 3 | 12 | 211 | 1 | ✓ | {3} | -1 | ? |
| 3.12.1443 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1457 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1459 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1460 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1472 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1481 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1493 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1497 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1498 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1510 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1534 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1539 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1555 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1563 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1568 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1580 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1587 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1588 | 3 | 12 | 212 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1606 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1610 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1611 | 3 | 12 | 212 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.1612 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1614 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1624 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1627 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1641 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1647 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1670 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1722 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1729 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1737 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1740 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1743 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1744 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1775 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1781 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1785 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1788 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1796 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1803 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1810 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1811 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |