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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 19,401–19,450

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3733963122081✓all6?
3.12.3734133122091✓all6?
3.12.3735773122091✓all6?
3.12.3735793122091✓all6?
3.12.3735833122081✓all6?
3.12.3736293122091✓all6?
3.12.3736423122081✓all6?
3.12.3736513122081✓all6?
3.12.3736803122081✓all6?
3.12.3737003122081✓all6?
3.12.3738153122081✓all6?
3.12.3738473122081✓all6?
3.12.3738723122081✓all6?
3.12.3739773122081✓all6?
3.12.3739813122071✓all6?
3.12.3740223122081✓all6?
3.12.3740283122081✓all6?
3.12.3740453122081✓all6?
3.12.3740783122081✓all6?
3.12.3740913122071✓all6?
3.12.3740973122071✓all6?
3.12.3741143122081✓all6?
3.12.3741493122091✓all6?
3.12.3741523122081✓all6?
3.12.3741533122081✓all6?
3.12.3741613122071✓all6?
3.12.3741893122081✓all6?
3.12.3742113122091✓all6?
3.12.3742323122081✓all6?
3.12.3742393122071✓all6?
3.12.3742473122071✓all6?
3.12.3742743122071✓all6?
3.12.3742863122071✓all6?
3.12.3742893122081✓all6?
3.12.3742913122081✓all6?
3.12.3742923122071✓all6?
3.12.3743533122071✓all6?
3.12.3743563122071✓all6?
3.12.3743713122071✓all6?
3.12.3743893122071✓all6?
3.12.3743923122071✓all6?
3.12.3744013122071✓all6?
3.12.3745153122081✓all6?
3.12.3745163122081✓all6?
3.12.3745183122071✓all6?
3.12.3745273122081✓all6?
3.12.3745573122092✓all6?
3.12.3745633122114✓all6?
3.12.3745823122101✓all6?
3.12.3745833122101✓all6?

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