UV luminosity function of our sample selected via Lyα emission. We show the LF in the same redshift bins of the Lyα LF (Fig. 8). The filled green squares are used to fit a double power law, while the empty squares are discarded in the fit, due to low completeness (average completeness < 50%). The solid green line and shaded area show the best-fit and 1σ uncertainties to a double power-law (teal solid line shows the fit with fixed β). We compare with double power-law fits in the literature, for the redshifts that approximately fall in our bins. The UV LF of the highest redshift bin shown in this figure was computed assuming completeness equal to 1, and therefore it should be regarded as a lower limit (see also Fig. 8 and Sect. 4.2). We mark the 1 object per bin limit as a horizontal dotted line. Data points below this limit signal LF bins which contain less than 1 object after we take the average of the 1000 LF determinations used to compute our final LF.