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19 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.528513111511✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.530273111511✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.530603111511✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.534443111511✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.540113111511✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.1260253111491✓all3point over Q(a)/(a^3 - a^2 - 2)
3.11.1320183111491✓all but 20point over Q(a)/(a^3 - a^2 - 2)
3.11.1327053111491✓∅-1point over Q(a)/(a^3 - a^2 - 2)
3.11.1495303111491✓all but 21point over Q(a)/(a^3 - a^2 - 2)
3.11.1504163111491✓all but 21point over Q(a)/(a^3 - a^2 - 2)
3.11.1508233111491✓all but 2,70point over Q(a)/(a^3 - a^2 - 2)
3.11.1513273111491✓all but 21point over Q(a)/(a^3 - a^2 - 2)
3.11.1521933111491✓all but 22point over Q(a)/(a^3 - a^2 - 2)
3.11.1897673111471✓all1point over Q(a)/(a^3 - a^2 - 2)
3.11.1897693111471✓all2point over Q(a)/(a^3 - a^2 - 2)
3.11.1986973111471✓all0point over Q(a)/(a^3 - a^2 - 2)
4.9.53913491141✓all but 22point over Q(a)/(a^3 - a^2 - 2)
4.9.58481491141✓all3point over Q(a)/(a^3 - a^2 - 2)
4.9.86494491141✓all4point over Q(a)/(a^3 - a^2 - 2)