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2 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.508403111511✓all0point over Q(a)/(a^5 - a^4 - a^3 + 2*a^2 - a - 1)
3.11.1416193111491✓all but 21point over Q(a)/(a^5 - a^4 - a^3 + 2*a^2 - a - 1)