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13 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.560653111511✓all but 2,30point over Q(a)/(a^2 - a - 3)
3.11.1454483111491✓all1point over Q(a)/(a^2 - a - 3)
3.11.1461513111491✓all1point over Q(a)/(a^2 - a - 3)
3.11.1516983111491✓all but 2,31point over Q(a)/(a^2 - a - 3)
3.11.1519223111491✓∅-1point over Q(a)/(a^2 - a - 3)
3.11.1519303111491✓all but 21point over Q(a)/(a^2 - a - 3)
3.11.1973483111471✓all but 21point over Q(a)/(a^2 - a - 3)
3.11.1974123111471✓all but 22point over Q(a)/(a^2 - a - 3)
3.11.2008163111471✓all but 2,3,50point over Q(a)/(a^2 - a - 3)
3.11.2018503111471✓all2point over Q(a)/(a^2 - a - 3)
3.11.2125583111471✓all but 23point over Q(a)/(a^2 - a - 3)
4.9.57608491141✓all but 21point over Q(a)/(a^2 - a - 3)
4.9.93816491141✓∅-1point over Q(a)/(a^2 - a - 3)