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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 18,401–18,450

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.17413113122051✓all7?
3.12.17417173122081✓all7?
3.12.17426033122051✓all7?
3.12.17437503122051✓all7?
3.12.17456933122061✓all7?
3.12.17458833122061✓all7?
3.12.17494853122061✓all7?
3.12.17512113122061✓all7?
3.12.17512273122061✓all7?
3.12.17512483122051✓all7?
3.12.17512533122071✓all7?
3.12.17512713122061✓all7?
3.12.17513063122061✓all7?
3.12.17513073122051✓all7?
3.12.17513463122061✓all7?
3.12.17513643122061✓all7?
3.12.17513783122051✓all7?
3.12.17514063122061✓all7?
3.12.17514913122051✓all7?
3.12.17519033122061✓all7?
3.12.17521723122061✓all7?
3.12.17525383122061✓all7?
3.12.17529343122061✓all7?
3.12.17546893122051✓all7?
3.12.17567653122071✓all7?
3.12.17594363122071✓all7?
3.12.17618893122061✓all7?
3.12.17681523122061✓all7?
3.12.17681613122051✓all7?
3.12.17681753122061✓all7?
3.12.17681823122061✓all7?
3.12.17682043122061✓all7?
3.12.17682113122061✓all7?
3.12.17682173122051✓all7?
3.12.17682603122061✓all7?
3.12.17683733122081✓all7?
3.12.17683983122071✓all7?
3.12.17684143122071✓all7?
3.12.17684993122061✓all7?
3.12.17686213122071✓all7?
3.12.17690243122081✓all7?
3.12.17691093122071✓all7?
3.12.17696083122061✓all7?
3.12.17699983122061✓all7?
3.12.17715673122071✓all7?
3.12.17725183122061✓all7?
3.12.17740093122091✓all7?
3.12.17774423122061✓all7?
3.12.17833193122061✓all7?
3.12.17833293122071✓all7?

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