Examples of synthetic nucleated galaxies with M_*, galaxy = 10⁷ M_⊙ and various M_*, nuc (see the middle rows of Fig. B.3). The first column shows the surface brightness profiles, where the grey points denote the surface brightness from individual pixels of the images. The galaxy (black), nucleus (red), and combined (white) profiles come from the Sérsic+PSF models. The second column shows the inner R_e of the galaxy with 27 > μ > 22 mag arcsec⁻², with the nucleus contrast (Eq. B.1) annotated. The third and fourth columns show the residual images from subtracting the single Sérsic and Sérsic+PSF models, respectively. The BIC values for each model are annotated in the images. The detection limits for the BIC, visual inspection, and BIC_res are estimated as 10^4.2 M_⊙, 10^4.5 M_⊙, and 10^4.8 M_⊙, respectively.