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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 18,851–18,900
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.2491 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2507 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2508 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2511 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2516 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2518 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2522 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2527 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2531 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2532 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2533 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2535 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2566 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2567 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2577 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2602 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2606 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2621 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2628 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2632 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2638 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2645 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2649 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2651 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2655 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2656 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2672 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2687 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2688 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2689 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2691 | 3 | 12 | 211 | 1 | ✓ | {11} | -1 | ? |
| 3.12.2699 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2702 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2703 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2718 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2743 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2744 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2753 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2775 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2776 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2777 | 3 | 12 | 211 | 1 | ✓ | {3} | -1 | ? |
| 3.12.2798 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2799 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2810 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2829 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2846 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2874 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2876 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2888 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2923 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |