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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 18,451–18,500

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.17833383122061✓all7?
3.12.17833433122051✓all7?
3.12.17833503122061✓all7?
3.12.17833563122061✓all7?
3.12.17833593122061✓all7?
3.12.17836313122051✓all7?
3.12.17838093122051✓all7?
3.12.17849783122061✓all7?
3.12.17875063122041✓all7?
3.12.17875183122041✓all7?
3.12.17875253122051✓all7?
3.12.17875283122051✓all7?
3.12.17875323122051✓all7?
3.12.17875553122041✓all7?
3.12.17875713122051✓all7?
3.12.17875803122061✓all7?
3.12.17876553122041✓all7?
3.12.17879963122061✓all7?
3.12.17882903122071✓all7?
3.12.17883353122061✓all7?
3.12.17891623122061✓all7?
3.12.17897593122061✓all7?
3.12.17905803122071✓all7?
3.12.17962243122041✓all7?
3.12.17962573122041✓all7?
3.12.17962743122041✓all7?
3.12.17963023122091✓all7?
3.12.17963273122081✓all7?
3.12.17963443122081✓all7?
3.12.17963813122081✓all7?
3.12.17963833122081✓all7?
3.12.17963863122071✓all7?
3.12.17964413122071✓all7?
3.12.17964693122061✓all7?
3.12.17964783122061✓all7?
3.12.17964963122061✓all7?
3.12.17965023122061✓all7?
3.12.17965203122071✓all7?
3.12.17966493122061✓all7?
3.12.17966943122051✓all7?
3.12.17967173122071✓all7?
3.12.17967853122081✓all7?
3.12.17968333122071✓all7?
3.12.17968363122071✓all7?
3.12.17970393122061✓all7?
3.12.17970963122071✓all7?
3.12.17971043122071✓all7?
3.12.17971053122081✓all7?
3.12.17971103122071✓all7?
3.12.17971133122081✓all7?

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