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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 19,051–19,100

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19529503122061✓all7?
3.12.19529523122061✓all7?
3.12.19530263122061✓all7?
3.12.19530323122061✓all7?
3.12.19530333122071✓all7?
3.12.19532453122071✓all7?
3.12.19534103122071✓all7?
3.12.19535133122061✓all7?
3.12.19535743122091✓all7?
3.12.19535783122081✓all7?
3.12.19535833122081✓all7?
3.12.19535843122081✓all7?
3.12.19535923122081✓all7?
3.12.19536073122081✓all7?
3.12.19536323122071✓all7?
3.12.19536603122081✓all7?
3.12.19537643122071✓all7?
3.12.19538643122081✓all7?
3.12.19539173122071✓all7?
3.12.19540383122071✓all7?
3.12.19540463122061✓all7?
3.12.19540483122061✓all7?
3.12.19540633122081✓all7?
3.12.19540643122081✓all7?
3.12.19540653122081✓all7?
3.12.19540763122071✓all7?
3.12.19541113122071✓all7?
3.12.19541283122071✓all7?
3.12.19542373122061✓all7?
3.12.19543423122071✓all7?
3.12.19544383122061✓all7?
3.12.19545243122061✓all7?
3.12.19546773122051✓all7?
3.12.19546873122071✓all7?
3.12.19547003122061✓all7?
3.12.19547173122061✓all7?
3.12.19547703122061✓all7?
3.12.19548103122051✓all7?
3.12.19548223122061✓all7?
3.12.19548533122071✓all7?
3.12.19548673122071✓all7?
3.12.19549983122061✓all7?
3.12.19550803122051✓all7?
3.12.19552103122051✓all7?
3.12.19552753122071✓all7?
3.12.19553563122061✓all7?
3.12.19554843122051✓all7?
3.12.19554893122071✓all7?
3.12.19555013122061✓all7?
3.12.19555213122061✓all7?

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