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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 22,451–22,500

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4474843122081✓all6?
3.12.4475133122091✓all6?
3.12.4475243122071✓all6?
3.12.4476033122071✓all6?
3.12.4476063122071✓all6?
3.12.4476583122081✓all6?
3.12.4476983122091✓all6?
3.12.4477473122071✓all6?
3.12.4478273122081✓all6?
3.12.4478373122081✓all6?
3.12.4478423122071✓all6?
3.12.4478443122071✓all6?
3.12.4478563122081✓all6?
3.12.4478663122071✓all6?
3.12.4478693122071✓all6?
3.12.4479193122071✓all6?
3.12.4479793122081✓all6?
3.12.4480503122071✓all6?
3.12.4480883122081✓all6?
3.12.4482053122081✓all6?
3.12.4482103122081✓all6?
3.12.4482233122071✓all6?
3.12.4482303122081✓all6?
3.12.4482743122081✓all6?
3.12.4483053122081✓all6?
3.12.4483593122071✓all6?
3.12.4483613122071✓all6?
3.12.4483673122061✓all6?
3.12.4483703122081✓all6?
3.12.4483803122081✓all6?
3.12.4483833122071✓all6?
3.12.4484103122071✓all6?
3.12.4484133122071✓all6?
3.12.4484213122071✓all6?
3.12.4484253122071✓all6?
3.12.4484313122081✓all6?
3.12.4484473122071✓all6?
3.12.4484643122081✓all6?
3.12.4484813122061✓all6?
3.12.4484823122081✓all6?
3.12.4484873122081✓all6?
3.12.4485003122081✓all6?
3.12.4485023122081✓all6?
3.12.4485113122081✓all6?
3.12.4485183122071✓all6?
3.12.4485213122071✓all6?
3.12.4485313122081✓all6?
3.12.4485333122071✓all6?
3.12.4485343122071✓all6?
3.12.4485563122071✓all6?

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