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.
6,662,718 matroids, showing 20,151–20,200
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.68528 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68531 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68532 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68538 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68539 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68540 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.68543 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68545 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68546 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68550 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.68558 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68559 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68560 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68562 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68563 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68564 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68566 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68567 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68568 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68569 | 3 | 11 | 153 | 1 | ✓ | all but 2 | 3 | rational |
| 3.11.68571 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68572 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68573 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68575 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68576 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.68577 | 3 | 11 | 156 | 2 | ✓ | all | 3 | rational |
| 3.11.68578 | 3 | 11 | 155 | 2 | ✓ | all | 3 | rational |
| 3.11.68610 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68611 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68613 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68620 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68622 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68624 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68631 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.68632 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68634 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68635 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68641 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68642 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68644 | 3 | 11 | 155 | 1 | ✓ | all | 3 | rational |
| 3.11.68650 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68651 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68653 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68654 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68656 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68658 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68659 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68660 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.68662 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.68691 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |