We present results, for three different temperatures, of a Monte Carlo simulation of the equilibrium electrical response of the inner region of the electrical double layer. The model chosen for the inner layer is a hexagonal monolayer of two-state point dipoles. The dipole-dipole interactions of all dipoles are calculated exactly within the full computation cell. We compare extrapolated simulation results with previous Monte Carlo results in which the dipole-dipole interactions were restricted to nearest neighbours. We find a significant difference between these two treatments of the dipole-dipole interaction and show that dipole-dipole interactions beyond nearest neighbours should not be neglected.