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14 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.450953111511✓all0point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.465743111511✓all0point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.481053111511✓all0point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.481573111511✓all0point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.528183111511✓all0point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1287143111491✓all2point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1299583111491✓all2point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1439703111491✓all2point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1439913111491✓all but 22point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1455693111491✓∅-1point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1460903111491✓∅-1point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
3.11.1901033111471✓all3point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
4.9.54528491141✓all4point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)
4.9.104260491141✓all5point over Q(a)/(a^4 - a^3 - a^2 + 3*a - 1)