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Imaginary Non-CM Fields of $2$-Power Degree
We establish a new method for studying imaginary non-CM fields of arbitrary \(2\)-power degree. In particular, we show that for degrees greater than \(16\), dihedral fields either lie in the ray class field of one of the three imaginary quadratic fields \(\mathbb{Q}(\sqrt{-2})\), \(\mathbb{Q}(\sqrt{
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