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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 21,701–21,750
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.20629 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20630 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20637 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20659 | 3 | 12 | 209 | 1 | ✓ | {11} | -1 | ? |
| 3.12.20661 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20668 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20670 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20671 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20674 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20677 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20680 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.20688 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20701 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.20702 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20706 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20712 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20716 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20720 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20727 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20729 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20733 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20736 | 3 | 12 | 210 | 4 | ✓ | {2} | -1 | ? |
| 3.12.20739 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20753 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20759 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20761 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20764 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20766 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20771 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20782 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20788 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20795 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20796 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20797 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20799 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20802 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20806 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20810 | 3 | 12 | 210 | 1 | ✓ | {17} | -1 | ? |
| 3.12.20812 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20813 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20814 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20817 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20818 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20832 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20834 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20840 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20842 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20843 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20852 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20853 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |