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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 18,501–18,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.17971243122061✓all7?
3.12.17971963122071✓all7?
3.12.17972233122061✓all7?
3.12.17973173122061✓all7?
3.12.17973203122061✓all7?
3.12.17973453122051✓all7?
3.12.17973583122061✓all7?
3.12.17973593122061✓all7?
3.12.17973843122051✓all7?
3.12.17974163122051✓all7?
3.12.17974263122081✓all7?
3.12.17974503122071✓all7?
3.12.17975903122061✓all7?
3.12.17977263122061✓all7?
3.12.17979403122061✓all7?
3.12.17980923122071✓all7?
3.12.17981873122051✓all7?
3.12.17983063122051✓all7?
3.12.17983363122061✓all7?
3.12.17983433122041✓all7?
3.12.17983803122051✓all7?
3.12.17983963122061✓all7?
3.12.17984043122041✓all7?
3.12.17984093122081✓all7?
3.12.17985073122061✓all7?
3.12.17985953122051✓all7?
3.12.17987233122071✓all7?
3.12.17987483122071✓all7?
3.12.17988373122051✓all7?
3.12.17991493122061✓all7?
3.12.17993923122051✓all7?
3.12.17999743122061✓all7?
3.12.17999793122061✓all7?
3.12.17999803122071✓all7?
3.12.17999973122051✓all7?
3.12.17999983122051✓all7?
3.12.18000003122061✓all7?
3.12.18000113122061✓all7?
3.12.18000573122061✓all7?
3.12.18000903122061✓all7?
3.12.18002323122061✓all7?
3.12.18004303122061✓all7?
3.12.18005153122051✓all7?
3.12.18006053122061✓all7?
3.12.18006933122061✓all7?
3.12.18008233122061✓all7?
3.12.18009093122051✓all7?
3.12.18014073122051✓all7?
3.12.18014923122051✓all7?
3.12.18020173122061✓all7?

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