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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 18,601–18,650

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.18206113122061✓all7?
3.12.18219803122061✓all7?
3.12.18241703122081✓all7?
3.12.18241853122061✓all7?
3.12.18241933122061✓all7?
3.12.18241943122061✓all7?
3.12.18242243122071✓all7?
3.12.18242673122081✓all7?
3.12.18242983122071✓all7?
3.12.18243033122071✓all7?
3.12.18243053122071✓all7?
3.12.18243493122061✓all7?
3.12.18244193122061✓all7?
3.12.18245013122061✓all7?
3.12.18246263122061✓all7?
3.12.18247523122061✓all7?
3.12.18248963122061✓all7?
3.12.18250013122061✓all7?
3.12.18254473122061✓all7?
3.12.18259793122051✓all7?
3.12.18263663122061✓all7?
3.12.18268193122061✓all7?
3.12.18269063122061✓all7?
3.12.18273503122081✓all7?
3.12.18282183122081✓all7?
3.12.18282763122061✓all7?
3.12.18303483122061✓all7?
3.12.18317443122051✓all7?
3.12.18326633122051✓all7?
3.12.18342643122071✓all7?
3.12.18363363122051✓all7?
3.12.18383633122071✓all7?
3.12.18432073122061✓all7?
3.12.18477223122061✓all7?
3.12.18480323122051✓all7?
3.12.18507203122061✓all7?
3.12.18519133122071✓all7?
3.12.18538583122061✓all7?
3.12.18540703122041✓all7?
3.12.18540853122051✓all7?
3.12.18541533122051✓all7?
3.12.18542373122061✓all7?
3.12.18542653122061✓all7?
3.12.18542683122061✓all7?
3.12.18542953122061✓all7?
3.12.18543123122061✓all7?
3.12.18543473122061✓all7?
3.12.18543623122071✓all7?
3.12.18543773122051✓all7?
3.12.18543853122041✓all7?

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