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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 18,501–18,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.18004303122061✓all7?
3.12.18005153122051✓all7?
3.12.18006053122061✓all7?
3.12.18006933122061✓all7?
3.12.18008233122061✓all7?
3.12.18009093122051✓all7?
3.12.18014073122051✓all7?
3.12.18014923122051✓all7?
3.12.18020173122061✓all7?
3.12.18023273122051✓all7?
3.12.18029953122061✓all7?
3.12.18039063122061✓all7?
3.12.18039113122071✓all7?
3.12.18039123122071✓all7?
3.12.18039133122071✓all7?
3.12.18039563122061✓all7?
3.12.18039683122051✓all7?
3.12.18039953122071✓all7?
3.12.18039973122061✓all7?
3.12.18039993122061✓all7?
3.12.18041033122051✓all7?
3.12.18042893122061✓all7?
3.12.18044423122061✓all7?
3.12.18045293122061✓all7?
3.12.18046203122061✓all7?
3.12.18047253122061✓all7?
3.12.18048193122061✓all7?
3.12.18052053122092✓all7?
3.12.18053053122081✓all7?
3.12.18058513122061✓all7?
3.12.18061873122071✓all7?
3.12.18074613122071✓all7?
3.12.18084073122061✓all7?
3.12.18095163122061✓all7?
3.12.18104413122061✓all7?
3.12.18116153122041✓all7?
3.12.18138443122071✓all7?
3.12.18138493122081✓all7?
3.12.18138643122081✓all7?
3.12.18138863122071✓all7?
3.12.18138893122071✓all7?
3.12.18139033122061✓all7?
3.12.18139533122071✓all7?
3.12.18139553122071✓all7?
3.12.18140643122071✓all7?
3.12.18141613122061✓all7?
3.12.18142213122081✓all7?
3.12.18143433122071✓all7?
3.12.18144463122061✓all7?
3.12.18145283122061✓all7?

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