  We compute the multivariate signatures of any Seifert link (that is a union
of some fibers in a Seifert homology sphere), in particular, of the union of a
torus link with one or both of its cores (cored torus link). The signatures of
cored torus links are used in Degtyarev-Florens-Lecuona splicing formula for
computation of multivariate signatures of cables over links. We use Neumann's
computation of equivariant signatures of such links.
  For signatures of torus links with the core(s) we also rewrite the Neumann's
formula in terms of integral points in a certain parallelogram, similar to
Hirzebruch's formula for signatures of torus links (without cores) via integral
points in a rectangle.
