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Results (4 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
12.2.102...000.8 | $x^{12} + 4 x^{10} + 10 x^{8} + 40 x^{6} + 100 x^{4} + 40 x^{2} - 40$ | $-\,2^{25}\cdot 5^{15}$ | $C_2\wr S_5$ (as 12T270) | trivial |
12.2.102...000.9 | $x^{12} + 2 x^{10} - 30 x^{8} + 80 x^{6} - 100 x^{4} + 80 x^{2} - 40$ | $-\,2^{25}\cdot 5^{15}$ | $C_2\wr S_5$ (as 12T270) | trivial |
12.2.640...000.21 | $x^{12} + 4 x^{10} + 50 x^{8} + 100 x^{4} + 40 x^{2} - 40$ | $-\,2^{25}\cdot 5^{19}$ | $C_2\wr S_5$ (as 12T270) | trivial |
22.6.624...984.1 | $x^{22} + 3 x^{20} - 36 x^{18} - 60 x^{16} + 213 x^{14} + 9 x^{12} - 114 x^{10} + 180 x^{8} - 108 x^{6} - 6 x^{4} + 36 x^{2} - 54$ | $2^{43}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16}$ | $C_2^{11}.A_{11}$ (as 22T52) | trivial |