This can now be solved down to absolute zero in temperature. Figure 1 shows the results of the solution to this equation for α = 3/2, with k = ε c = 1, which corresponds to a gas of bosons in a box. The solid black line is the fraction of excited states 1 − N 0 / N for N = 10 000 and the dotted black line is the solution for N = 1000. The blue lines are the fraction of condensed particles N 0 / N. The red lines plot values of the negative of the chemical potential μ and the green lines plot the corresponding values of z. The horizontal axis is the normalized temperature τ defined by