  Using the approach developed in [V. Azcoiti, G. Di Carlo, A. Galante, V.
Laliena, \textit{Phys. Lett.} \textbf{B563}, (2003) 117], we are able to
reconstruct the behavior of the massive 1-flavor Schwinger model with a
$\theta$ term and a quantized topological charge. We calculate the full
dependence of the order parameter with $\theta$. Our results at $\theta = \pi$
are compatible with Coleman's conjecture on the phase diagram of this model.
