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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 22,001–22,050
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.23482 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23483 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23487 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23488 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23490 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23491 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23495 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23496 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23500 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23508 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23510 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23514 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23523 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23528 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23534 | 3 | 12 | 210 | 1 | ✓ | {7} | -1 | ? |
| 3.12.23537 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23538 | 3 | 12 | 208 | 1 | ✓ | {3} | -1 | ? |
| 3.12.23541 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23545 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23551 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23553 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23554 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23556 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23566 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23568 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23570 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23573 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23576 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23577 | 3 | 12 | 209 | 1 | ✓ | {2} | -1 | ? |
| 3.12.23588 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23594 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23595 | 3 | 12 | 211 | 1 | ✓ | {2} | -1 | ? |
| 3.12.23598 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23605 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23614 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23616 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23623 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23630 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23631 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23648 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.23650 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.23673 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23685 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23708 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23727 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23746 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23778 | 3 | 12 | 211 | 1 | ✓ | {2} | -1 | ? |
| 3.12.23801 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23816 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23820 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |