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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 21,751–21,800

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.30984853122061✓all7?
3.12.30992163122061✓all7?
3.12.31000433122091✓all7?
3.12.31004323122071✓all7?
3.12.31032203122061✓all7?
3.12.31056423122071✓all7?
3.12.31077883122071✓all7?
3.12.31098023122081✓all7?
3.12.31137643122081✓all7?
3.12.31189333122061✓all7?
3.12.31222013122081✓all7?
3.12.31289223122081✓all7?
3.12.31289313122081✓all7?
3.12.31289593122081✓all7?
3.12.31289903122091✓all7?
3.12.31290073122081✓all7?
3.12.31290293122081✓all7?
3.12.31290353122091✓all7?
3.12.31290383122091✓all7?
3.12.31290493122081✓all7?
3.12.31290963122091✓all7?
3.12.31291833122081✓all7?
3.12.31293013122071✓all7?
3.12.31294163122081✓all7?
3.12.31295183122071✓all7?
3.12.31295783122071✓all7?
3.12.31300513122071✓all7?
3.12.31304083122071✓all7?
3.12.31307483122071✓all7?
3.12.31310623122061✓all7?
3.12.31311573122071✓all7?
3.12.31316443122071✓all7?
3.12.31327603122061✓all7?
3.12.31337833122071✓all7?
3.12.31366113122071✓all7?
3.12.31366903122071✓all but 27?
3.12.31396413122081✓all7?
3.12.31416793122061✓all7?
3.12.31435413122081✓all7?
3.12.31456713122081✓all7?
3.12.31518603122071✓all7?
3.12.31550023122071✓all7?
3.12.31582683122081✓all7?
3.12.31582913122081✓all7?
3.12.31583133122071✓all7?
3.12.31583603122081✓all7?
3.12.31583833122081✓all7?
3.12.31587013122071✓all7?
3.12.31604153122071✓all7?
3.12.31635083122051✓all7?

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