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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.

84,161 matroids, showing 21,801–21,850

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.31720043122061✓all7?
3.12.31800683122081✓all7?
3.12.31800763122071✓all7?
3.12.31800853122081✓all7?
3.12.31801093122071✓all7?
3.12.31801383122071✓all7?
3.12.31801583122071✓all7?
3.12.31801843122071✓all7?
3.12.31801883122071✓all7?
3.12.31801933122071✓all7?
3.12.31802353122071✓all7?
3.12.31802423122071✓all7?
3.12.31802513122071✓all7?
3.12.31803033122071✓all7?
3.12.31803253122071✓all7?
3.12.31803523122061✓all7?
3.12.31803763122061✓all7?
3.12.31803813122071✓all7?
3.12.31804263122061✓all7?
3.12.31804313122061✓all7?
3.12.31804983122061✓all7?
3.12.31805013122061✓all7?
3.12.31805263122061✓all7?
3.12.31805303122071✓all7?
3.12.31805513122061✓all7?
3.12.31805593122071✓all7?
3.12.31806493122071✓all7?
3.12.31807383122061✓all7?
3.12.31808073122061✓all7?
3.12.31808783122061✓all7?
3.12.31808803122061✓all7?
3.12.31808943122081✓all7?
3.12.31809073122061✓all7?
3.12.31809143122071✓all7?
3.12.31809173122071✓all7?
3.12.31809183122071✓all7?
3.12.31809253122061✓all7?
3.12.31809343122071✓all7?
3.12.31811123122081✓all7?
3.12.31811463122081✓all7?
3.12.31812303122071✓all7?
3.12.31813623122101✓all7?
3.12.31815893122071✓all7?
3.12.31816973122081✓all7?
3.12.31817853122071✓all7?
3.12.31817873122091✓all7?
3.12.31818023122071✓all7?
3.12.31818163122071✓all7?
3.12.31818733122071✓all7?
3.12.31818803122081✓all7?

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