  The non-forward eikonal scattering matrix for dipole-proton scattering at
high energy obtains an imaginary part due to a $C$-odd three gluon exchange. We
present numerical estimates for the perturbative Odderon amplitude as a
function of dipole size, impact parameter, their relative azimuthal angle, and
light-cone momentum cutoff $x$. The proton is approximated as
$\psi_\mathrm{qqq}|qqq\rangle + \psi_\mathrm{qqqg}|qqqg\rangle$, where
$\psi_\mathrm{qqq}$ is a non-perturbative three quark model wave function while
the gluon emission is computed in light-cone perturbation theory. We find that
the Odderon amplitude increases as $x$ decreases from 0.1 to 0.01. At yet lower
$x$, the reversal of this energy dependence would reflect the onset of
universal small-$x$ renormalization group evolution.
