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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 19,301–19,350

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3704613122081✓all6?
3.12.3704903122081✓all6?
3.12.3704913122071✓all6?
3.12.3704993122071✓all6?
3.12.3705183122071✓all6?
3.12.3705273122071✓all6?
3.12.3705503122071✓all6?
3.12.3705513122071✓all6?
3.12.3705623122071✓all6?
3.12.3705643122071✓all6?
3.12.3705783122071✓all6?
3.12.3706183122071✓all6?
3.12.3706783122081✓all6?
3.12.3706853122081✓all6?
3.12.3707153122081✓all6?
3.12.3707903122081✓all6?
3.12.3707963122081✓all6?
3.12.3708913122071✓all6?
3.12.3709083122071✓all6?
3.12.3710033122071✓all6?
3.12.3710523122081✓all6?
3.12.3710713122081✓all6?
3.12.3710733122081✓all6?
3.12.3710763122071✓all6?
3.12.3710943122071✓all6?
3.12.3711143122081✓all6?
3.12.3711563122071✓all6?
3.12.3711733122081✓all6?
3.12.3712833122091✓all6?
3.12.3713043122081✓all6?
3.12.3713083122091✓all6?
3.12.3713593122081✓all6?
3.12.3713633122091✓all6?
3.12.3713673122091✓all6?
3.12.3713863122101✓all6?
3.12.3714633122081✓all6?
3.12.3714713122091✓all6?
3.12.3714793122081✓all6?
3.12.3715073122091✓all6?
3.12.3715153122081✓all6?
3.12.3715643122081✓all6?
3.12.3716103122081✓all6?
3.12.3717953122081✓all6?
3.12.3719133122081✓all6?
3.12.3719493122071✓all6?
3.12.3720643122101✓all6?
3.12.3721943122071✓all6?
3.12.3723003122071✓all6?
3.12.3723193122071✓all6?
3.12.3723573122071✓all6?

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