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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 21,851–21,900
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.22035 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22045 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22114 | 3 | 12 | 212 | 1 | ✓ | {2} | -1 | ? |
| 3.12.22143 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22148 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22156 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22168 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.22173 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22224 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22253 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22274 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22292 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22313 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22335 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.22377 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22386 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22402 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22407 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22435 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22442 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22458 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22475 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22476 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22482 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22484 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22521 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22542 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22551 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22565 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.22581 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.22588 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.22610 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22612 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22626 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.22661 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22680 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22687 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22690 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22693 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22696 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22700 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22712 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22733 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22743 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22744 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22759 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22761 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22771 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22779 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22782 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |