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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.

381,906 matroids, showing 18,501–18,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3502513122081✓all6?
3.12.3503793122081✓all6?
3.12.3503893122081✓all6?
3.12.3504113122091✓all6?
3.12.3504223122091✓all6?
3.12.3504293122091✓all6?
3.12.3506453122071✓all6?
3.12.3506593122091✓all6?
3.12.3506633122091✓all6?
3.12.3506943122081✓all6?
3.12.3507023122071✓all6?
3.12.3507053122101✓all6?
3.12.3507543122091✓all6?
3.12.3507843122081✓all6?
3.12.3508113122081✓all6?
3.12.3508243122091✓all6?
3.12.3508353122081✓all6?
3.12.3509473122081✓all6?
3.12.3510163122081✓all6?
3.12.3510253122081✓all6?
3.12.3510293122071✓all6?
3.12.3510363122081✓all6?
3.12.3510553122081✓all6?
3.12.3510573122071✓all6?
3.12.3510753122091✓all6?
3.12.3510863122081✓all6?
3.12.3511013122081✓all6?
3.12.3511153122091✓all6?
3.12.3511453122071✓all6?
3.12.3511623122101✓all6?
3.12.3511653122101✓all6?
3.12.3513333122082✓all6?
3.12.3513403122081✓all6?
3.12.3513423122081✓all6?
3.12.3513513122082✓all6?
3.12.3513553122091✓all6?
3.12.3513633122081✓all6?
3.12.3513743122081✓all6?
3.12.3513763122091✓all6?
3.12.3513793122091✓all6?
3.12.3513843122091✓all6?
3.12.3513993122071✓all6?
3.12.3514193122081✓all6?
3.12.3514203122071✓all6?
3.12.3514283122071✓all6?
3.12.3514433122071✓all6?
3.12.3514643122081✓all6?
3.12.3514703122081✓all6?
3.12.3514863122081✓all6?
3.12.3515313122081✓all6?

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