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15 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.532383111511✓all but 20point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.537813111511✓all but 20point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1351963111491✓all2point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1410593111491✓all but 22point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1416353111491✓all2point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1451123111491✓all but 22point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1522033111491✓all but 23point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1948103111471✓all2point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1961553111471✓∅-1point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.1972693111471✓∅-1point over Q(a)/(a^3 - a^2 - 3*a + 1)
3.11.2009713111471✓all but 2,50point over Q(a)/(a^3 - a^2 - 3*a + 1)
4.9.94255491141✓all4point over Q(a)/(a^3 - a^2 - 3*a + 1)
4.9.94772491141✓all1point over Q(a)/(a^3 - a^2 - 3*a + 1)
4.9.99484491141✓all2point over Q(a)/(a^3 - a^2 - 3*a + 1)
4.9.100322491141✓all but 22point over Q(a)/(a^3 - a^2 - 3*a + 1)