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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 22,601–22,650

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.36175343122061✓all7?
3.12.36208163122061✓all7?
3.12.36208203122061✓all7?
3.12.36210353122071✓all7?
3.12.36210613122061✓all7?
3.12.36210703122051✓all7?
3.12.36210863122061✓all7?
3.12.36210963122071✓all7?
3.12.36211633122061✓all7?
3.12.36211803122061✓all7?
3.12.36212063122051✓all7?
3.12.36212123122051✓all7?
3.12.36214353122061✓all7?
3.12.36214473122061✓all7?
3.12.36214933122061✓all7?
3.12.36215463122061✓all7?
3.12.36215813122051✓all7?
3.12.36216073122061✓all7?
3.12.36216283122061✓all7?
3.12.36217603122051✓all7?
3.12.36218033122051✓all7?
3.12.36218123122051✓all7?
3.12.36218723122071✓all7?
3.12.36219443122061✓all7?
3.12.36219453122061✓all7?
3.12.36220373122051✓all7?
3.12.36220423122051✓all7?
3.12.36220663122051✓all7?
3.12.36220853122061✓all7?
3.12.36221003122061✓all7?
3.12.36221143122051✓all7?
3.12.36221303122051✓all7?
3.12.36221503122071✓all7?
3.12.36221543122061✓all7?
3.12.36222983122051✓all7?
3.12.36223023122041✓all7?
3.12.36223113122051✓all7?
3.12.36223193122061✓all7?
3.12.36223563122041✓all7?
3.12.36224083122091✓all7?
3.12.36226033122081✓all7?
3.12.36226073122091✓all7?
3.12.36226133122091✓all7?
3.12.36226233122081✓all7?
3.12.36226443122081✓all7?
3.12.36226743122071✓all7?
3.12.36226833122071✓all7?
3.12.36226863122071✓all7?
3.12.36227443122071✓all7?
3.12.36227453122071✓all7?

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