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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 19,301–19,350

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19736513122031✓all7?
3.12.19736523122051✓all7?
3.12.19736753122051✓all7?
3.12.19736763122041✓all7?
3.12.19736873122071✓all7?
3.12.19737493122051✓all7?
3.12.19738203122061✓all7?
3.12.19738263122051✓all7?
3.12.19738273122051✓all7?
3.12.19738283122051✓all7?
3.12.19738473122041✓all7?
3.12.19738613122051✓all7?
3.12.19739143122061✓all7?
3.12.19740533122051✓all7?
3.12.19741913122051✓all7?
3.12.19742063122082✓all7?
3.12.19742153122071✓all7?
3.12.19742203122061✓all7?
3.12.19742223122061✓all7?
3.12.19742343122051✓all7?
3.12.19742453122051✓all7?
3.12.19742523122051✓all7?
3.12.19742813122071✓all7?
3.12.19742873122051✓all7?
3.12.19742933122051✓all7?
3.12.19743423122051✓all7?
3.12.19743443122051✓all7?
3.12.19743713122062✓all7?
3.12.19743903122041✓all7?
3.12.19744043122091✓all7?
3.12.19744113122081✓all7?
3.12.19745733122051✓all7?
3.12.19745783122051✓all7?
3.12.19745863122071✓all7?
3.12.19746193122051✓all7?
3.12.19746263122071✓all7?
3.12.19746383122051✓all7?
3.12.19746593122061✓all7?
3.12.19746683122061✓all7?
3.12.19746803122071✓all7?
3.12.19747563122071✓all7?
3.12.19748813122051✓all7?
3.12.19749403122051✓all7?
3.12.19749413122061✓all7?
3.12.19749523122051✓all7?
3.12.19749843122051✓all7?
3.12.19749983122051✓all7?
3.12.19750153122051✓all7?
3.12.19750183122061✓all7?
3.12.19750243122051✓all7?

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