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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 18,651–18,700

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.18787963122061✓all7?
3.12.18788513122071✓all7?
3.12.18788533122071✓all7?
3.12.18790053122061✓all7?
3.12.18792483122041✓all7?
3.12.18794493122051✓all7?
3.12.18795313122051✓all7?
3.12.18799453122051✓all7?
3.12.18810883122071✓all7?
3.12.18827753122061✓all7?
3.12.18845623122061✓all7?
3.12.18869933122051✓all7?
3.12.18881653122071✓all7?
3.12.18892503122051✓all7?
3.12.18896203122051✓all7?
3.12.18896313122041✓all7?
3.12.18901583122051✓all7?
3.12.18948943122051✓all7?
3.12.18971593122061✓all7?
3.12.18976753122071✓all7?
3.12.18995023122051✓all7?
3.12.19077353122051✓all7?
3.12.19078843122051✓all7?
3.12.19079003122051✓all7?
3.12.19079113122051✓all7?
3.12.19079363122051✓all7?
3.12.19079393122051✓all7?
3.12.19080043122041✓all7?
3.12.19080153122062✓all7?
3.12.19080543122051✓all7?
3.12.19081003122061✓all7?
3.12.19081193122051✓all7?
3.12.19081273122051✓all7?
3.12.19081633122071✓all7?
3.12.19082093122061✓all7?
3.12.19082133122061✓all7?
3.12.19082253122061✓all7?
3.12.19082513122051✓all7?
3.12.19083243122051✓all7?
3.12.19083673122061✓all7?
3.12.19084293122061✓all7?
3.12.19085453122071✓all7?
3.12.19086483122051✓all7?
3.12.19086613122051✓all7?
3.12.19086623122041✓all7?
3.12.19087393122051✓all7?
3.12.19087443122051✓all7?
3.12.19087453122051✓all7?
3.12.19087463122051✓all7?
3.12.19087723122061✓all7?

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