Shimura curves in the Prym loci of ramified double covers

We study Shimura curves of PEL type in the space of polarized abelian varieties Apδ generically contained in the ramified Prym locus. We generalize to ramified double covers, the construction done in [E. Colombo, P. Frediani, A. Ghigi and M. Penegini, Shimura curves in the Prym locus, Commun. Contemp. Math. 21(2) (2019) 1850009] in the unramified case and in the case of two ramification points. Namely, we construct families of double covers which are compatible with a fixed group action on the base curve. We only consider the case of one-dimensional families and where the quotient of the base curve by the group is χ1. Using computer algebra we obtain 184 Shimura curves contained in the (ramified) Prym loci.