Exercise 13.5: Comparison with exact results

1. Generate all the possible configurations of spins for $L=4$.

2. Calculate the mean value of the energy, magnetization, susceptibility, and heat capacity as a function of the temperature. For calculating the magnetization use $\vert m\vert$ instead of $m$.

3. Use your MC program to compute the same quantities and compare with the exact results. Use the necessary MC steps to obtain an accuracy of $1\%$ for the energy.