Comparison between final photometric parallax (i.e. the one calculated with the final result of the fitting procedure) and that from Gaia. In filled circles and filled stars are the objects not considered or considered as outliers by the Cauchy loss function. All the data are colour-coded according to their [Fe/H] ratio. The top and bottom panels show the results for the WJK_S and WcHVI Wesenheit magnitudes, respectively. The units of α,  β,  γ,  ϵ and ϖ are mag, mag/dex, mag/dex, mas, and mas, respectively.