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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 20,851–20,900
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.14544 | 3 | 12 | 214 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14554 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14563 | 3 | 12 | 211 | 2 | ✓ | {2} | -1 | ? |
| 3.12.14574 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14579 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14586 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14587 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14598 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14600 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14605 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14615 | 3 | 12 | 215 | 24 | ✓ | ∅ | -1 | ? |
| 3.12.14618 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14622 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14628 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14630 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.14648 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14650 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14652 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14654 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14672 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14679 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14686 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14689 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14690 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14691 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14698 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14701 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14709 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14737 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14749 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14753 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14767 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14781 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14796 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14811 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14815 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14819 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14821 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14823 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14829 | 3 | 12 | 214 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14830 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14832 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14834 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14836 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14841 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14864 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.14878 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14888 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14899 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14902 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |