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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
16.0.405...376.1 | $x^{16} + 24 x^{14} - 16 x^{13} + 166 x^{12} + 176 x^{11} - 812 x^{10} + 272 x^{9} + 5544 x^{8} - 832 x^{7} - 7416 x^{6} + 16872 x^{5} + 4646 x^{4} - 8480 x^{3} + 40228 x^{2} + 34160 x + 9829$ | $2^{48}\cdot 229^{6}$ | $C_4^2:\GL(2,\mathbb{Z}/4)$ (as 16T1314) | $[2, 2]$ |
16.8.405...376.1 | $x^{16} - 4 x^{14} - 48 x^{13} + 154 x^{12} + 336 x^{11} - 1296 x^{10} - 176 x^{9} + 3092 x^{8} - 3872 x^{7} - 5816 x^{6} + 6000 x^{5} + 8272 x^{4} + 1712 x^{3} - 320 x^{2} - 104 x - 6$ | $2^{48}\cdot 229^{6}$ | $C_4^2:\GL(2,\mathbb{Z}/4)$ (as 16T1314) | $[2]$ |