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 19,651–19,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.7707 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7708 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7709 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7710 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7711 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7712 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7713 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7714 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.7715 | 3 | 11 | 153 | 1 | ✓ | all | 2 | rational |
| 3.11.7716 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7717 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7718 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.7719 | 3 | 11 | 155 | 3 | ✓ | all | 4 | K3 surface x P^2 |
| 3.11.7720 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7721 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7722 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7723 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7724 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7725 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7726 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7727 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7728 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7729 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7730 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7731 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7732 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7733 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7734 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.7735 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.7736 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.7737 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7738 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7739 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7740 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7741 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7742 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7743 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7744 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7745 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7746 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7747 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7748 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7749 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7750 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.7751 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7752 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7753 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.7754 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.7755 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.7756 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |