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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 22,501–22,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4485793122071✓all6?
3.12.4485823122081✓all6?
3.12.4486053122071✓all6?
3.12.4486123122071✓all6?
3.12.4486183122071✓all6?
3.12.4486423122061✓all6?
3.12.4486483122052✓all6?
3.12.4486593122071✓all6?
3.12.4486943122071✓all6?
3.12.4487543122081✓all6?
3.12.4487653122071✓all6?
3.12.4487733122062✓all6?
3.12.4487803122061✓all6?
3.12.4487883122061✓all6?
3.12.4487963122061✓all6?
3.12.4488043122071✓all6?
3.12.4488123122081✓all6?
3.12.4488373122071✓all6?
3.12.4488453122071✓all6?
3.12.4488513122071✓all6?
3.12.4488533122071✓all6?
3.12.4489123122081✓all6?
3.12.4489713122071✓all6?
3.12.4490193122081✓all6?
3.12.4490253122071✓all6?
3.12.4490323122081✓all6?
3.12.4490513122071✓all6?
3.12.4490673122071✓all6?
3.12.4490683122061✓all6?
3.12.4490793122061✓all6?
3.12.4490923122071✓all6?
3.12.4491573122061✓all6?
3.12.4491683122071✓all6?
3.12.4492703122061✓all6?
3.12.4493303122081✓all6?
3.12.4493503122081✓all6?
3.12.4493623122081✓all6?
3.12.4493663122091✓all6?
3.12.4493683122091✓all6?
3.12.4493823122091✓all6?
3.12.4493833122081✓all6?
3.12.4493853122081✓all6?
3.12.4493863122091✓all6?
3.12.4493963122081✓all6?
3.12.4493973122081✓all6?
3.12.4494023122091✓all6?
3.12.4494143122081✓all6?
3.12.4494173122081✓all6?
3.12.4494223122081✓all6?
3.12.4494263122091✓all6?

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