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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 21,101–21,150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.16406 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16408 | 3 | 12 | 210 | 1 | ✓ | {5} | -1 | ? |
| 3.12.16413 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16414 | 3 | 12 | 209 | 1 | ✓ | {11} | -1 | ? |
| 3.12.16416 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16419 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16429 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16439 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16442 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16444 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16445 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16467 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16468 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16472 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16474 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16482 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16484 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16493 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16495 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16506 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16508 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16518 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16537 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16538 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16539 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16553 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16554 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16557 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16561 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16564 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16567 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16572 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16576 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16580 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16605 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16607 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16674 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16678 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16686 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16688 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16706 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16712 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16720 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16735 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16747 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16758 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16761 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16765 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16767 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16779 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |