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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 21,251–21,300
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.17656 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.17660 | 3 | 12 | 209 | 1 | ✓ | {2} | -1 | ? |
| 3.12.17663 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17664 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17666 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17676 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17677 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17680 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17696 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17703 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17717 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17720 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17725 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17732 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17740 | 3 | 12 | 212 | 1 | ✓ | {11} | -1 | ? |
| 3.12.17742 | 3 | 12 | 211 | 1 | ✓ | {3} | -1 | ? |
| 3.12.17749 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17756 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17767 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17774 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17783 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17799 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17802 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17812 | 3 | 12 | 210 | 1 | ✓ | {3} | -1 | ? |
| 3.12.17813 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17822 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17825 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17826 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17831 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17834 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17837 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17842 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17845 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17853 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17862 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17868 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17874 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17880 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17894 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17902 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17921 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17938 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17948 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17956 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17966 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17971 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17985 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17990 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17991 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17996 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |