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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 19,551–19,600

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.20041603122061✓all7?
3.12.20042823122071✓all7?
3.12.20043783122061✓all7?
3.12.20050353122061✓all7?
3.12.20059063122051✓all7?
3.12.20067523122061✓all7?
3.12.20074263122061✓all7?
3.12.20079643122091✓all7?
3.12.20087373122091✓all7?
3.12.20097353122081✓all7?
3.12.20097383122081✓all7?
3.12.20097743122081✓all7?
3.12.20097773122081✓all7?
3.12.20098063122071✓all7?
3.12.20098243122071✓all7?
3.12.20098433122071✓all7?
3.12.20098673122071✓all7?
3.12.20098863122091✓all7?
3.12.20100143122061✓all7?
3.12.20101193122071✓all7?
3.12.20102903122081✓all7?
3.12.20103823122081✓all7?
3.12.20103853122101✓all7?
3.12.20105043122071✓all7?
3.12.20105723122071✓all7?
3.12.20106673122071✓all7?
3.12.20111813122071✓all7?
3.12.20118423122071✓all7?
3.12.20128123122081✓all7?
3.12.20139803122081✓all7?
3.12.20151783122071✓all7?
3.12.20162093122071✓all7?
3.12.20175013122071✓all7?
3.12.20175103122061✓all7?
3.12.20175143122061✓all7?
3.12.20175333122071✓all7?
3.12.20175413122061✓all7?
3.12.20175603122071✓all7?
3.12.20175733122061✓all7?
3.12.20175813122061✓all7?
3.12.20175833122061✓all7?
3.12.20176563122071✓all7?
3.12.20177373122061✓all7?
3.12.20178753122051✓all7?
3.12.20180113122061✓all7?
3.12.20181043122071✓all7?
3.12.20181503122081✓all7?
3.12.20182133122061✓all7?
3.12.20185033122071✓all7?
3.12.20190333122061✓all7?

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