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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.

381,906 matroids, showing 19,351–19,400

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3714713122091✓all6?
3.12.3714793122081✓all6?
3.12.3715073122091✓all6?
3.12.3715153122081✓all6?
3.12.3715643122081✓all6?
3.12.3716103122081✓all6?
3.12.3717953122081✓all6?
3.12.3719133122081✓all6?
3.12.3719493122071✓all6?
3.12.3720643122101✓all6?
3.12.3721943122071✓all6?
3.12.3723003122071✓all6?
3.12.3723193122071✓all6?
3.12.3723573122071✓all6?
3.12.3724043122081✓all6?
3.12.3724073122081✓all6?
3.12.3724403122071✓all6?
3.12.3724423122092✓all6?
3.12.3724433122081✓all6?
3.12.3724583122062✓all6?
3.12.3724663122061✓all6?
3.12.3725073122061✓all6?
3.12.3725213122091✓all6?
3.12.3725233122091✓all6?
3.12.3725313122091✓all6?
3.12.3725573122091✓all6?
3.12.3725593122081✓all6?
3.12.3725773122081✓all6?
3.12.3725823122081✓all6?
3.12.3725863122081✓all6?
3.12.3725893122091✓all6?
3.12.3726043122101✓all6?
3.12.3726173122081✓all6?
3.12.3726683122081✓all6?
3.12.3726853122081✓all6?
3.12.3726903122091✓all6?
3.12.3727143122091✓all6?
3.12.3727243122081✓all6?
3.12.3727323122091✓all6?
3.12.3727663122081✓all6?
3.12.3727733122091✓all6?
3.12.3728523122081✓all6?
3.12.3728763122091✓all6?
3.12.3728943122091✓all6?
3.12.3729133122101✓all6?
3.12.3729473122091✓all6?
3.12.3729483122081✓all6?
3.12.3729843122071✓all6?
3.12.3729973122081✓all6?
3.12.3730013122081✓all6?

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