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.
1,370,992 matroids, showing 19,101–19,150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.259504 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259505 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259518 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259535 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259536 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259537 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259538 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259539 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259540 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259541 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259547 | 3 | 11 | 144 | 2 | ✓ | all | 5 | rational |
| 3.11.259553 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259556 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259561 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259575 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259576 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259586 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259611 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259612 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259613 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259614 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259615 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259616 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259617 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259623 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259628 | 3 | 11 | 142 | 2 | ✓ | all | 5 | rational |
| 3.11.259632 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259637 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259650 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259663 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259664 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259692 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259712 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259744 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259745 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259746 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259748 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259751 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259756 | 3 | 11 | 142 | 1 | ✓ | all | 5 | rational |
| 3.11.259764 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259772 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259777 | 3 | 11 | 142 | 1 | ✓ | all | 5 | rational |
| 3.11.259778 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |
| 3.11.259779 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259780 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259781 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259782 | 3 | 11 | 144 | 1 | ✓ | all | 5 | rational |
| 3.11.259783 | 3 | 11 | 143 | 1 | ✓ | all | 5 | rational |
| 3.11.259788 | 3 | 11 | 142 | 1 | ✓ | all | 5 | point over Q(a)/(a^2 - a - 1) |
| 3.11.259793 | 3 | 11 | 145 | 1 | ✓ | all | 5 | rational |