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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 21,901–21,950

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.31901013122061✓all7?
3.12.31901503122071✓all7?
3.12.31912433122071✓all7?
3.12.31916193122051✓all7?
3.12.31924943122081✓all7?
3.12.31924983122071✓all7?
3.12.31925033122061✓all7?
3.12.31925333122081✓all7?
3.12.31925613122061✓all7?
3.12.31925823122071✓all7?
3.12.31926133122061✓all7?
3.12.31926293122061✓all7?
3.12.31926453122071✓all7?
3.12.31928293122061✓all7?
3.12.31928943122071✓all7?
3.12.31930293122071✓all7?
3.12.31931543122071✓all7?
3.12.31932553122061✓all7?
3.12.31933603122061✓all7?
3.12.31934483122071✓all7?
3.12.31939753122061✓all7?
3.12.31944723122061✓all7?
3.12.31949103122071✓all7?
3.12.31952033122071✓all7?
3.12.31953043122071✓all7?
3.12.31966753122071✓all7?
3.12.31969583122071✓all7?
3.12.31982563122081✓all7?
3.12.31986723122051✓all7?
3.12.31997673122061✓all7?
3.12.32015103122051✓all7?
3.12.32027673122081✓all7?
3.12.32027733122081✓all7?
3.12.32027833122081✓all7?
3.12.32028123122081✓all7?
3.12.32028193122071✓all7?
3.12.32028213122081✓all7?
3.12.32028903122091✓all7?
3.12.32031003122071✓all7?
3.12.32033203122071✓all7?
3.12.32034983122061✓all7?
3.12.32035383122071✓all7?
3.12.32035533122061✓all7?
3.12.32035733122081✓all7?
3.12.32036593122081✓all7?
3.12.32038673122071✓all7?
3.12.32040833122072✓all7?
3.12.32042383122061✓all7?
3.12.32043063122074✓all7?
3.12.32048103122071✓all7?

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