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Galois group decomposition of non-cyclic covers
If $\pi: C \rightarrow \mathbb{P}^{1}$ is a cyclic cover of $\mathbb{P}^{1}$ with Galois group $\mathbb{Z}/m \mathbb{Z}$ and thus with the (affine) formula
$y^{m}= (x_{1}-a_{1})^{t_{1}}....(x_{n}-a_{...