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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 21,501–21,550
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.19301 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19306 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19311 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19312 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19321 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.19330 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19336 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19337 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19340 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19343 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19350 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19351 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19361 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19370 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19381 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19403 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19410 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19414 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19415 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19441 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19455 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19462 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19505 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19528 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19548 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19557 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19567 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19568 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19600 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19608 | 3 | 12 | 211 | 1 | ✓ | {31} | -1 | ? |
| 3.12.19613 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19623 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19631 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19637 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19660 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19673 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19676 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19681 | 3 | 12 | 210 | 1 | ✓ | {83} | -1 | ? |
| 3.12.19694 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19699 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19700 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19701 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19702 | 3 | 12 | 210 | 1 | ✓ | {11} | -1 | ? |
| 3.12.19705 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19708 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19722 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19742 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19747 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19765 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19766 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |