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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 18,551–18,600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.860 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.861 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.872 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.877 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.884 | 3 | 12 | 212 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.891 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.892 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.894 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.899 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.901 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.902 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.906 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.909 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.922 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.926 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.927 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.930 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.932 | 3 | 12 | 212 | 12 | ✓ | ∅ | -1 | ? |
| 3.12.938 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.942 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.943 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.948 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.951 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.962 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.963 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.971 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.976 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.998 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1002 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1003 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1015 | 3 | 12 | 213 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1020 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1023 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1029 | 3 | 12 | 215 | 48 | ✓ | ∅ | -1 | ? |
| 3.12.1032 | 3 | 12 | 214 | 24 | ✓ | ∅ | -1 | ? |
| 3.12.1040 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1042 | 3 | 12 | 213 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1043 | 3 | 12 | 213 | 4 | ✓ | {17} | -1 | ? |
| 3.12.1046 | 3 | 12 | 215 | 12 | ✓ | ∅ | -1 | ? |
| 3.12.1047 | 3 | 12 | 214 | 12 | ✓ | ∅ | -1 | ? |
| 3.12.1051 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1052 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1055 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1056 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1057 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.1067 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1069 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1071 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1076 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1080 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |