  We employ exact diagonalization with strong coupling expansion to the
massless and massive Schwinger model. New results are presented for the ground
state energy and scalar mass gap in the massless model, which improve the
precision to nearly $10^{-9} %$. We also investigate the chiral condensate and
compare our calculations to previous results available in the literature.
Oscillations of the chiral condensate which are present while increasing the
expansion order are also studied and are shown to be directly linked to the
presence of flux loops in the system.
