  In 1992, Avner Ash and Mark McConnell presented computational evidence of a
connection between three-dimensional Galois representations and certain
arithmetic cohomology classes. For some examples they were unable to determine
the attached representation. For several Hecke eigenclasses (including one for
which Ash and McConnell did not find the Galois representation), we find a
Galois representation which appears to be attached and show strong evidence for
the uniqueness of this representation. The techniques that we use to find
defining polynomials for the Galois representations include a targeted Hunter
search, class field theory, and elliptic curves.
