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4 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.481563111511✓all but 30point over Q(a)/(a^3 - a^2 + 2*a + 1)
3.11.1460873111491✓∅-1point over Q(a)/(a^3 - a^2 + 2*a + 1)
3.11.1461633111491✓∅-1point over Q(a)/(a^3 - a^2 + 2*a + 1)
3.11.2026903111471✓∅-1point over Q(a)/(a^3 - a^2 + 2*a + 1)