  We study the 3-spin spherical model with mean-field interactions and Gaussian
random couplings. For moderate system sizes of up to 20 spins, we obtain all
stationary points of the energy landscape by means of the numerical polynomial
homotopy continuation method. On the basis of these stationary points, we
analyze the complexity and other quantities related to the glass transition of
the model and compare these finite-system quantities to their exact
counterparts in the thermodynamic limit.
