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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 18,501–18,550
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.627 | 3 | 12 | 211 | 2 | ✓ | {19} | -1 | ? |
| 3.12.629 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.648 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.650 | 3 | 12 | 212 | 4 | ✓ | {47} | -1 | ? |
| 3.12.656 | 3 | 12 | 210 | 6 | ✓ | ∅ | -1 | ? |
| 3.12.658 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.671 | 3 | 12 | 209 | 6 | ✓ | ∅ | -1 | ? |
| 3.12.683 | 3 | 12 | 213 | 4 | ✓ | {3} | -1 | ? |
| 3.12.685 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.691 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.695 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.697 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.708 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.709 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.712 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.714 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.719 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.737 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.739 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.744 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.752 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.754 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.756 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.766 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.771 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.773 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.776 | 3 | 12 | 214 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.782 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.783 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.785 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.791 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.793 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.797 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.804 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.810 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.815 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.821 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.830 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.834 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.845 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.850 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.851 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.856 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 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 | ? |