  We numerically realize breather gas for the focusing nonlinear Schr\"odinger
equation. This is done by building a random ensemble of N $\sim$ 50 breathers
via the Darboux transform recursive scheme in high precision arithmetics. Three
types of breather gases are synthesized according to the three prototypical
spectral configurations corresponding the Akhmediev, Kuznetsov-Ma and Peregrine
breathers as elementary quasi-particles of the respective gases. The
interaction properties of the constructed breather gases are investigated by
propagating through them a "trial" generic breather (Tajiri-Watanabe) and
comparing the mean propagation velocity with the predictions of the recently
developed spectral kinetic theory (El and Tovbis, PRE 2020).
