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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 22,151–22,200

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.33290783122071✓all7?
3.12.33294313122061✓all7?
3.12.33294553122051✓all7?
3.12.33299703122061✓all7?
3.12.33301013122061✓all7?
3.12.33308943122061✓all7?
3.12.33316623122041✓all7?
3.12.33319133122061✓all7?
3.12.33331643122071✓all7?
3.12.33347603122061✓all7?
3.12.33367953122051✓all7?
3.12.33381633122061✓all7?
3.12.33402883122061✓all7?
3.12.33476363122061✓all7?
3.12.33483653122051✓all7?
3.12.33492613122061✓all7?
3.12.33503403122041✓all7?
3.12.33510013122061✓all7?
3.12.33559193122051✓all7?
3.12.33560873122081✓all7?
3.12.33572723122071✓all7?
3.12.33573043122071✓all7?
3.12.33573163122061✓all7?
3.12.33573543122071✓all7?
3.12.33573933122061✓all7?
3.12.33575103122071✓all7?
3.12.33577773122051✓all7?
3.12.33580553122071✓all7?
3.12.33584173122061✓all7?
3.12.33584983122071✓all7?
3.12.33590263122071✓all7?
3.12.33594253122051✓all7?
3.12.33597673122061✓all7?
3.12.33633043122051✓all7?
3.12.33654403122081✓all7?
3.12.33660443122071✓all7?
3.12.33710723122071✓all7?
3.12.33741623122051✓all7?
3.12.33803113122051✓all7?
3.12.33828383122051✓all7?
3.12.33835583122071✓all7?
3.12.33845613122061✓all7?
3.12.33902633122051✓all7?
3.12.33922063122051✓all7?
3.12.33922563122041✓all7?
3.12.33977303122071✓all7?
3.12.33977313122071✓all7?
3.12.33997333122061✓all7?
3.12.34001103122071✓all7?
3.12.34034013122071✓all7?

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