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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 19,001–19,050

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3644393122081✓all6?
3.12.3644443122091✓all6?
3.12.3644563122091✓all6?
3.12.3644643122071✓all6?
3.12.3644763122071✓all6?
3.12.3645013122071✓all6?
3.12.3645183122081✓all6?
3.12.3645193122081✓all6?
3.12.3645443122071✓all6?
3.12.3645513122071✓all6?
3.12.3645553122081✓all6?
3.12.3645633122081✓all6?
3.12.3645743122071✓all6?
3.12.3645933122071✓all6?
3.12.3646263122081✓all6?
3.12.3646393122071✓all6?
3.12.3646473122081✓all6?
3.12.3646963122091✓all6?
3.12.3647113122101✓all6?
3.12.3647143122091✓all6?
3.12.3648193122081✓all6?
3.12.3648293122091✓all6?
3.12.3648913122081✓all6?
3.12.3649083122081✓all6?
3.12.3649353122091✓all6?
3.12.3649623122071✓all6?
3.12.3649803122071✓all6?
3.12.3649813122071✓all6?
3.12.3649823122081✓all6?
3.12.3650663122081✓all6?
3.12.3650983122081✓all6?
3.12.3651203122091✓all6?
3.12.3651413122081✓all6?
3.12.3651493122091✓all6?
3.12.3651843122071✓all6?
3.12.3651973122071✓all6?
3.12.3651983122081✓all6?
3.12.3652143122091✓all6?
3.12.3652363122081✓all6?
3.12.3652783122081✓all6?
3.12.3653073122071✓all6?
3.12.3653373122071✓all6?
3.12.3653453122071✓all6?
3.12.3653653122071✓all6?
3.12.3653783122081✓all6?
3.12.3653843122071✓all6?
3.12.3654243122071✓all6?
3.12.3654933122091✓all6?
3.12.3655033122081✓all6?
3.12.3655203122091✓all6?

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