We propose an approach for the computation of multi-parameter families of Galois extensions with prescribed ramification type. More precisely, we combine existing deformation and interpolation techniques with recently developed strong tools for the computation of 3-point covers. To demonstrate the applicability of our method in relatively large degrees, we compute several families of polynomials with symplectic Galois groups, in particular obtaining the first totally real polynomials with Galois group ${\text{PSp}}_6(2)$.

中文翻译：

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计算辛分支Galois组的多分支点覆盖系列的方法

我们提出了一种计算具有指定分枝类型的Galois扩展的多参数族的方法。更准确地说，我们将现有的变形和插值技术与最近开发的强大工具相结合，用于计算3点覆盖率。为了证明我们的方法在较大程度上的适用性，我们计算了带有辛伽罗瓦群的多项式多项式，尤其是获得了伽罗瓦群的第一个完全实多项式${\text{聚苯乙烯}}_6（2）$。