Upper panel: luminosity function of the GCNS, with a 0.25 bin, in log scale. The upper full curve plotted in grey shows main-sequence stars. The lower full curve plotted in blue points represents main-sequence stars with ipd_frac_multi_peak = 0, that is, probably single stars. The small lower partially orange curve shows giants stars. The confidence intervals reflect the Poisson uncertainties. Lower panel: ⟨ V∕V_max ⟩ vs. M_G. The expectation value for the statistic is 0.5 for a uniform sample within the survey volume.