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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 21,401–21,450
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.18610 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18626 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18641 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18643 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18647 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18672 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18697 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.18707 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.18714 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18723 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18728 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18729 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.18732 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18734 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18740 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18743 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18749 | 3 | 12 | 213 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.18767 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.18769 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18772 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18780 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18783 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18792 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18806 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18810 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18816 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18819 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18824 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.18830 | 3 | 12 | 213 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.18839 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.18840 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18848 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18855 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18865 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18871 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18887 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18901 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18906 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18915 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18917 | 3 | 12 | 211 | 1 | ✓ | {23} | -1 | ? |
| 3.12.18928 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18932 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18944 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18963 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18964 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18972 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18981 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18990 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18991 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18992 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |