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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 19,051–19,100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.3647 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3650 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3654 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3668 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3671 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3672 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3675 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3678 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3682 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3686 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3693 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3694 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3699 | 3 | 12 | 210 | 1 | ✓ | {29} | -1 | ? |
| 3.12.3700 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3702 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3704 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3711 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3713 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3718 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3719 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3720 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3721 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3725 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3726 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3731 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3732 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3733 | 3 | 12 | 211 | 1 | ✓ | {17} | -1 | ? |
| 3.12.3739 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3742 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3744 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3745 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3749 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3752 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3755 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3756 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3763 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3767 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3768 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3772 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3779 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3784 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3787 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3788 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3790 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3797 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3798 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3803 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3805 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3806 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3808 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |