Search
…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.
32,400,859 matroids, showing 19,851–19,900
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.7907 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7908 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7909 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7910 | 3 | 11 | 155 | 4 | ✓ | all | 4 | rational |
| 3.11.7911 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7912 | 3 | 11 | 158 | 1 | ✓ | all | 7 | rational |
| 3.11.7913 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7914 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7915 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7916 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7917 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7918 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7919 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7920 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7921 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7922 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7923 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7924 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7925 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7926 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7927 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7928 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7929 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7930 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7931 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7932 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7933 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7934 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7935 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7936 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7937 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7938 | 3 | 11 | 157 | 2 | ✓ | all | 6 | rational |
| 3.11.7939 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7940 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7941 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7942 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7943 | 3 | 11 | 157 | 2 | ✓ | all | 6 | rational |
| 3.11.7944 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7945 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7946 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7947 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7948 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7949 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7950 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7951 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7952 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7953 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7954 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7955 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7956 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |