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19 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.512403111511✓all0point over Q(a)/(a^4 - a + 1)
3.11.529063111511✓all but 30point over Q(a)/(a^4 - a + 1)
3.11.892113111491✓all3point over Q(a)/(a^4 - a + 1)
3.11.1378203111491✓all2point over Q(a)/(a^4 - a + 1)
3.11.1378703111491✓all2point over Q(a)/(a^4 - a + 1)
3.11.1435303111491✓∅-1point over Q(a)/(a^4 - a + 1)
3.11.1441063111491✓∅-1point over Q(a)/(a^4 - a + 1)
3.11.1441073111491✓∅-1point over Q(a)/(a^4 - a + 1)
3.11.1441143111491✓all but 2,30point over Q(a)/(a^4 - a + 1)
3.11.1441763111471✓all1point over Q(a)/(a^4 - a + 1)
3.11.1460883111491✓∅-1point over Q(a)/(a^4 - a + 1)
3.11.2014013111471✓all1point over Q(a)/(a^4 - a + 1)
3.11.2132693111471✓all but 22point over Q(a)/(a^4 - a + 1)
4.9.56897491141✓∅-1point over Q(a)/(a^4 - a + 1)
4.9.67819491141✓∅-1point over Q(a)/(a^4 - a + 1)
4.9.72428491141✓all1point over Q(a)/(a^4 - a + 1)
4.9.94564491141✓all but 21point over Q(a)/(a^4 - a + 1)
4.9.94677491141✓all1point over Q(a)/(a^4 - a + 1)
4.9.94855491141✓all6point over Q(a)/(a^4 - a + 1)