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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 21,601–21,650

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.30106333122061✓all7?
3.12.30106493122051✓all7?
3.12.30106583122061✓all7?
3.12.30106773122061✓all7?
3.12.30107203122041✓all7?
3.12.30107793122051✓all7?
3.12.30107813122051✓all7?
3.12.30109063122051✓all7?
3.12.30112863122051✓all7?
3.12.30116633122051✓all7?
3.12.30120193122061✓all7?
3.12.30125123122071✓all7?
3.12.30137063122071✓all7?
3.12.30159213122051✓all7?
3.12.30185903122061✓all7?
3.12.30217213122061✓all7?
3.12.30243873122061✓all7?
3.12.30284463122071✓all7?
3.12.30321923122051✓all7?
3.12.30390613122061✓all7?
3.12.30390983122061✓all7?
3.12.30391143122051✓all7?
3.12.30391493122041✓all7?
3.12.30392623122051✓all7?
3.12.30393173122051✓all7?
3.12.30393433122041✓all7?
3.12.30394053122031✓all7?
3.12.30394563122051✓all7?
3.12.30394703122041✓all7?
3.12.30395133122061✓all7?
3.12.30395723122051✓all7?
3.12.30396093122051✓all7?
3.12.30396213122041✓all7?
3.12.30396663122061✓all7?
3.12.30397823122041✓all7?
3.12.30398153122061✓all7?
3.12.30399243122041✓all7?
3.12.30399843122051✓all7?
3.12.30400113122051✓all7?
3.12.30400213122051✓all7?
3.12.30400573122041✓all7?
3.12.30401323122051✓all7?
3.12.30401803122051✓all7?
3.12.30402633122061✓all7?
3.12.30403353122051✓all7?
3.12.30403623122031✓all7?
3.12.30403713122061✓all7?
3.12.30403823122051✓all7?
3.12.30403883122051✓all7?
3.12.30403893122061✓all7?

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