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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 21,751–21,800
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.20858 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20859 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20861 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20868 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20869 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20873 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20877 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20879 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20885 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20888 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20891 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20895 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20920 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20923 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20930 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20941 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20943 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20946 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20960 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20964 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20971 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20974 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20980 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20983 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21004 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.21013 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21017 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21021 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21023 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21025 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21036 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21038 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21045 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21049 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21057 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21065 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21071 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21078 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21084 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21088 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21093 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21104 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21105 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21107 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21119 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21144 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21149 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21150 | 3 | 12 | 210 | 1 | ✓ | {29} | -1 | ? |
| 3.12.21158 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.21203 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |