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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 21,501–21,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.27438123122071✓all7?
3.12.27450003122061✓all7?
3.12.27456673122081✓all7?
3.12.27466453122061✓all7?
3.12.27471733122071✓all7?
3.12.27498653122071✓all7?
3.12.27531313122081✓all7?
3.12.27540223122061✓all7?
3.12.27556163122071✓all7?
3.12.27583773122071✓all7?
3.12.27596403122071✓all7?
3.12.27614263122071✓all7?
3.12.27634123122061✓all7?
3.12.27673573122071✓all7?
3.12.27708443122071✓all7?
3.12.27711433122071✓all7?
3.12.27761093122061✓all7?
3.12.27761453122061✓all7?
3.12.27761673122051✓all7?
3.12.27761843122061✓all7?
3.12.27761883122081✓all7?
3.12.27762073122061✓all7?
3.12.27762153122061✓all7?
3.12.27762203122061✓all7?
3.12.27762343122051✓all7?
3.12.27762373122051✓all7?
3.12.27763093122061✓all7?
3.12.27763903122061✓all7?
3.12.27767063122061✓all7?
3.12.27770633122061✓all7?
3.12.27777413122051✓all7?
3.12.27783053122051✓all7?
3.12.27801713122051✓all7?
3.12.27816883122061✓all7?
3.12.27835963122061✓all7?
3.12.27859663122061✓all7?
3.12.27893923122051✓all7?
3.12.27894103122051✓all7?
3.12.27894113122052✓all7?
3.12.27894123122042✓all7?
3.12.27894133122051✓all7?
3.12.27894383122061✓all7?
3.12.27894943122041✓all7?
3.12.27894963122071✓all7?
3.12.27895493122051✓all7?
3.12.27896073122051✓all7?
3.12.27900293122071✓all7?
3.12.27913233122061✓all7?
3.12.27940923122071✓all7?
3.12.27950953122071✓all7?

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