  In this paper, we determine the Euler characteristics and signatures of the
exact symplectic fillings of the contact double, 3-fold or 4-fold cyclic covers
of the standard contact 3-sphere branched over certain transverse
quasi-positive links. These links include all quasi-positive knots with
crossing numbers smaller than 11 and all quasi-positive links with crossing
numbers smaller than 12 and nonzero nullity.
