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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 21,701–21,750

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.30841383122081✓all7?
3.12.30842043122081✓all7?
3.12.30843703122071✓all7?
3.12.30844753122081✓all7?
3.12.30847743122071✓all7?
3.12.30851443122091✓all7?
3.12.30861293122081✓all7?
3.12.30872233122081✓all7?
3.12.30883093122071✓all7?
3.12.30883113122061✓all7?
3.12.30883233122061✓all7?
3.12.30883403122061✓all7?
3.12.30883463122081✓all7?
3.12.30883543122061✓all7?
3.12.30883563122061✓all7?
3.12.30883703122102✓all7?
3.12.30883813122091✓all7?
3.12.30885873122071✓all7?
3.12.30886973122081✓all7?
3.12.30889073122061✓all7?
3.12.30889983122081✓all7?
3.12.30891743122071✓all7?
3.12.30892603122071✓all7?
3.12.30895893122061✓all7?
3.12.30898623122071✓all7?
3.12.30899863122091✓all7?
3.12.30903153122071✓all7?
3.12.30905563122081✓all7?
3.12.30919873122081✓all7?
3.12.30933333122081✓all7?
3.12.30942773122071✓all7?
3.12.30965463122071✓all7?
3.12.30965613122071✓all7?
3.12.30965693122071✓all7?
3.12.30965773122061✓all7?
3.12.30965783122071✓all7?
3.12.30966183122071✓all7?
3.12.30966273122061✓all7?
3.12.30966303122061✓all7?
3.12.30966493122061✓all7?
3.12.30966573122061✓all7?
3.12.30967903122061✓all7?
3.12.30968513122061✓all7?
3.12.30968873122061✓all7?
3.12.30969553122062✓all7?
3.12.30970523122071✓all7?
3.12.30974133122071✓all7?
3.12.30978323122071✓all7?
3.12.30981733122071✓all7?
3.12.30983893122081✓all7?

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