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We study and compute an infinite family of Hurwitz spaces parameterizing covers of P 1 C branched at four points and deduce explicit regular S n and An-extensions over Q(T) with totally real fibers.

Computation of some moduli spaces of covers and explicit 𝒮nand 𝒜nregular ℚ(T)-extensions with totally real fibers

Computation of some moduli spaces of covers and explicit 𝒮_nand 𝒜_nregular ℚ(T)-extensions with totally real fibers