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11 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.259903111512✓all0point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.526703111511✓all0point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1352363111492✓all but 2,31point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1448633111491✓all2point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1453403111491✓all3point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1454433111491✓all but 22point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1456673111492✓all2point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1456823111492✓all1point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1461023111492✓all4point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
3.11.1461823111492✓all2point over Q(a)/(a^4 - a^3 - a^2 - a + 1)
4.9.92789491141✓all4point over Q(a)/(a^4 - a^3 - a^2 - a + 1)