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5 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.541733111511✓all but 20point over Q(a)/(a^3 - a^2 - 2*a - 2)
3.11.1440693111491✓all2point over Q(a)/(a^3 - a^2 - 2*a - 2)
3.11.1523003111491✓all but 2,31point over Q(a)/(a^3 - a^2 - 2*a - 2)
3.11.1525053111491✓all but 2,31point over Q(a)/(a^3 - a^2 - 2*a - 2)
4.9.54030491141✓all3point over Q(a)/(a^3 - a^2 - 2*a - 2)