Search
…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.
3,622,905 matroids, showing 19,201–19,250
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.73499 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73500 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73504 | 3 | 11 | 151 | 1 | ✓ | all | 4 | rational |
| 3.11.73507 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73510 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73523 | 3 | 11 | 151 | 1 | ✓ | all | 4 | rational |
| 3.11.73524 | 3 | 11 | 151 | 1 | ✓ | all | 4 | rational |
| 3.11.73555 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73556 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73557 | 3 | 11 | 153 | 2 | ✓ | all | 4 | rational |
| 3.11.73558 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73559 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73560 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73565 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.73567 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73571 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73573 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73583 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73584 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73585 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73586 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73587 | 3 | 11 | 153 | 2 | ✓ | all | 4 | rational |
| 3.11.73588 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73590 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73591 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73592 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73593 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73594 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73596 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73597 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73599 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73602 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73603 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73604 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73605 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73606 | 3 | 11 | 154 | 1 | ✓ | all | 4 | rational |
| 3.11.73607 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73613 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73614 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73616 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73617 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73619 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73621 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73622 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73633 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73634 | 3 | 11 | 153 | 1 | ✓ | all | 4 | rational |
| 3.11.73635 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73636 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73637 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |
| 3.11.73639 | 3 | 11 | 152 | 1 | ✓ | all | 4 | rational |