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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.
6,662,718 matroids, showing 20,801–20,850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.70607 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70608 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70609 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70613 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70615 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.70624 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70625 | 3 | 11 | 151 | 1 | ✓ | all | 3 | empty |
| 3.11.70626 | 3 | 11 | 150 | 1 | ✓ | all | 3 | empty |
| 3.11.70628 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70629 | 3 | 11 | 150 | 1 | ✓ | all | 3 | rational |
| 3.11.70630 | 3 | 11 | 150 | 2 | ✓ | all | 3 | empty |
| 3.11.70631 | 3 | 11 | 153 | 2 | ✓ | all | 3 | rational |
| 3.11.70633 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70634 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70635 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70637 | 3 | 11 | 152 | 2 | ✓ | all | 3 | rational |
| 3.11.70638 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70639 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70641 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70642 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70644 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70645 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70646 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70647 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70648 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70649 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70653 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.70658 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.70662 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70667 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70668 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70669 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70670 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70671 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70673 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70674 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70675 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70676 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70679 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70680 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70681 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70682 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70686 | 3 | 11 | 151 | 2 | ✓ | all | 3 | rational |
| 3.11.70689 | 3 | 11 | 151 | 1 | ✓ | all | 3 | rational |
| 3.11.70692 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70706 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70709 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |
| 3.11.70712 | 3 | 11 | 152 | 1 | ✓ | all | 3 | rational |
| 3.11.70713 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.70714 | 3 | 11 | 153 | 1 | ✓ | all | 3 | rational |