Refine search
Results (4 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
12.2.102...000.5 | $x^{12} - 2 x^{10} - 30 x^{8} - 80 x^{6} - 100 x^{4} - 80 x^{2} - 40$ | $-\,2^{25}\cdot 5^{15}$ | $C_2\wr S_5$ (as 12T270) | trivial |
12.2.102...000.7 | $x^{12} - 4 x^{10} + 10 x^{8} - 40 x^{6} + 100 x^{4} - 40 x^{2} - 40$ | $-\,2^{25}\cdot 5^{15}$ | $C_2\wr S_5$ (as 12T270) | trivial |
12.2.640...000.20 | $x^{12} - 4 x^{10} + 50 x^{8} + 100 x^{4} - 40 x^{2} - 40$ | $-\,2^{25}\cdot 5^{19}$ | $C_2\wr S_5$ (as 12T270) | trivial |
22.8.249...936.1 | $x^{22} - 3 x^{20} - 36 x^{18} + 60 x^{16} + 213 x^{14} - 9 x^{12} - 114 x^{10} - 180 x^{8} - 108 x^{6} + 6 x^{4} + 36 x^{2} + 54$ | $-\,2^{45}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16}$ | $C_2^{11}.A_{11}$ (as 22T52) | trivial |