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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 19,251–19,300

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19675143122071✓all7?
3.12.19675233122091✓all7?
3.12.19675343122071✓all7?
3.12.19676573122071✓all7?
3.12.19677063122061✓all7?
3.12.19677813122061✓all7?
3.12.19678803122061✓all7?
3.12.19679953122071✓all7?
3.12.19681153122061✓all7?
3.12.19681633122061✓all7?
3.12.19685843122061✓all7?
3.12.19693323122051✓all7?
3.12.19694103122051✓all7?
3.12.19698423122041✓all7?
3.12.19703083122061✓all7?
3.12.19703493122051✓all7?
3.12.19703903122061✓all7?
3.12.19704033122061✓all7?
3.12.19704143122071✓all7?
3.12.19704223122061✓all7?
3.12.19704523122051✓all7?
3.12.19704593122061✓all7?
3.12.19704793122061✓all7?
3.12.19705043122051✓all7?
3.12.19706213122051✓all7?
3.12.19707983122061✓all7?
3.12.19708433122081✓all7?
3.12.19709453122061✓all7?
3.12.19710563122061✓all7?
3.12.19712063122071✓all7?
3.12.19712983122051✓all7?
3.12.19717473122061✓all7?
3.12.19721593122071✓all7?
3.12.19727123122051✓all7?
3.12.19729263122051✓all7?
3.12.19729373122061✓all7?
3.12.19729533122051✓all7?
3.12.19729633122061✓all7?
3.12.19729693122051✓all7?
3.12.19729813122071✓all7?
3.12.19731333122041✓all7?
3.12.19733723122071✓all7?
3.12.19734163122061✓all7?
3.12.19734763122051✓all7?
3.12.19735013122051✓all7?
3.12.19735083122051✓all7?
3.12.19735743122051✓all7?
3.12.19735853122061✓all7?
3.12.19736083122051✓all7?
3.12.19736353122041✓all7?

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