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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 21,001–21,050
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.15661 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15662 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15664 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15667 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15671 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15682 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15684 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15697 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15699 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15718 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15732 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15733 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15740 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15748 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15752 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15754 | 3 | 12 | 211 | 1 | ✓ | {2} | -1 | ? |
| 3.12.15789 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15795 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15864 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15866 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15873 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15883 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15885 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15909 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15911 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15918 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15920 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15922 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15924 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15936 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15956 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15967 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15972 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15973 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15981 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15987 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15997 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16008 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16009 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16010 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16018 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16019 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16032 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16038 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16039 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16044 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16045 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16048 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16059 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16070 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |