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Download displayed columns for results| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 16.4.737...464.8 | $x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} + 42 x^{8} - 8 x^{6} - 12 x^{4} + 8 x^{2} + 1$ | $2^{66}$ | $\OD_{16}:C_2$ (as 16T41) | trivial |
| 28.4.647...104.4 | $x^{28} - 8 x^{27} + 36 x^{26} - 84 x^{25} + 69 x^{24} + 288 x^{23} + 192 x^{22} - 816 x^{21} - 9486 x^{20} + 180144 x^{19} - 976104 x^{18} + 3992904 x^{17} - 13755534 x^{16} + 46409664 x^{15} - 152003088 x^{14} + 459771792 x^{13} - 1215641091 x^{12} + 2805871896 x^{11} - 5671986780 x^{10} + 10181405292 x^{9} - 16023105207 x^{8} + 20998612320 x^{7} - 21886057488 x^{6} + 17710003008 x^{5} - 10912551216 x^{4} + 4937528064 x^{3} - 1551722112 x^{2} + 288994048 x - 22835648$ | $2^{106}\cdot 3^{48}$ | $G(2,2)$ (as 28T393) | $[2, 2]$ |