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9 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.465643111511✓all0point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.482503111511✓all0point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.482553111511✓all0point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.1406993111491✓all1point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.1453433111491✓all3point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.1453543111491✓all2point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
3.11.1453823111491✓all1point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
4.9.59081491141✓all2point over Q(a)/(a^4 - a^3 + a^2 - a - 1)
4.9.70068491141✓all2point over Q(a)/(a^4 - a^3 + a^2 - a - 1)