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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 21,851–21,900

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.31819043122061✓all7?
3.12.31819083122071✓all7?
3.12.31819143122061✓all7?
3.12.31819653122081✓all7?
3.12.31820523122061✓all7?
3.12.31822193122071✓all7?
3.12.31822483122071✓all7?
3.12.31823953122091✓all7?
3.12.31824253122071✓all7?
3.12.31826383122061✓all7?
3.12.31831893122061✓all7?
3.12.31832123122071✓all7?
3.12.31838093122081✓all7?
3.12.31838413122071✓all7?
3.12.31838653122071✓all7?
3.12.31838883122061✓all7?
3.12.31839063122061✓all7?
3.12.31839153122061✓all7?
3.12.31839243122061✓all7?
3.12.31839383122091✓all7?
3.12.31839393122081✓all7?
3.12.31839983122071✓all7?
3.12.31840713122081✓all7?
3.12.31841833122081✓all7?
3.12.31843013122061✓all7?
3.12.31844023122051✓all7?
3.12.31846663122061✓all7?
3.12.31848283122071✓all7?
3.12.31850173122061✓all7?
3.12.31857583122081✓all7?
3.12.31866053122061✓all7?
3.12.31872883122071✓all7?
3.12.31878093122071✓all7?
3.12.31878183122081✓all7?
3.12.31878233122081✓all7?
3.12.31878353122071✓all7?
3.12.31878363122081✓all7?
3.12.31878563122071✓all7?
3.12.31878573122071✓all7?
3.12.31878873122091✓all7?
3.12.31879113122081✓all7?
3.12.31880303122071✓all7?
3.12.31882263122081✓all7?
3.12.31883003122071✓all7?
3.12.31883983122081✓all7?
3.12.31884903122071✓all7?
3.12.31886063122091✓all7?
3.12.31888513122091✓all7?
3.12.31892183122071✓all7?
3.12.31893623122071✓all7?

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