  A methodology for computing the massless spectrum of heterotic vacua with
Wilson lines is presented. This is applied to a specific class of vacua with
holomorphic SU(5)-bundles over torus-fibered Calabi-Yau threefolds with
fundamental group Z_2. These vacua lead to low energy theories with the
standard model gauge group SU(3)_C x SU(2)_L x U(1)_Yand three families of
quark/leptons. The massless spectrum is computed, including the multiplicity of
Higgs doublets.
