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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 ⇅
3.12.19484423122061✓all7?
3.12.19486333122071✓all7?
3.12.19487683122081✓all7?
3.12.19488733122081✓all7?
3.12.19491853122071✓all7?
3.12.19497323122061✓all7?
3.12.19502983122061✓all7?
3.12.19506743122071✓all7?
3.12.19510383122061✓all7?
3.12.19512973122051✓all7?
3.12.19519213122071✓all7?
3.12.19519273122061✓all7?
3.12.19519293122071✓all7?
3.12.19519423122051✓all7?
3.12.19519543122071✓all7?
3.12.19519913122071✓all7?
3.12.19520083122051✓all7?
3.12.19520283122041✓all7?
3.12.19520413122061✓all7?
3.12.19520463122051✓all7?
3.12.19520593122041✓all7?
3.12.19520623122041✓all7?
3.12.19520963122061✓all7?
3.12.19521033122061✓all7?
3.12.19521063122051✓all7?
3.12.19521203122061✓all7?
3.12.19521253122051✓all7?
3.12.19523023122051✓all7?
3.12.19523273122061✓all7?
3.12.19523543122051✓all7?
3.12.19523573122061✓all7?
3.12.19523873122071✓all7?
3.12.19523933122071✓all7?
3.12.19524373122071✓all7?
3.12.19524533122041✓all7?
3.12.19524773122051✓all7?
3.12.19526373122041✓all7?
3.12.19528993122071✓all7?
3.12.19529193122061✓all7?
3.12.19529323122081✓all7?
3.12.19529423122071✓all7?
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?

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