Notes. Column (1): name of the galaxy. Column (2): HST WFC3 filter. Columns (3)−(8): parameter of the Nuker fit as defined in Eq. (3). Column (4) repeats the values of Col. (3) in the physical units. Column (9): gradient of the luminosity profile evaluated at the limit of (assuming the HST resolution limit of , the classification remains the same, except for NGC 0661 and NGC 5631, which then have intermediate profiles, but only in the F814W filter). Column (10): root mean square of the Nuker fit residuals. Columns (11)−(12): cusp radius as defined by Eq. (5) in arcseconds and parsec, respectively. Column (13): classification into intermediate (∧) and power law (\), where intermediate and power law are grouped as core-less in the text (see Sect. 3). A core (∩) does not occur in this sample. Column (14): kinematic structure in the velocity maps taken from Krajnović et al. (2011), where CRC means counter-rotating core, KDC means kinematically distinct core, 2σ is the double peak in the velocity dispersion map indicating counter-rotating discs, and NRR are non-regular velocity maps. NGC 1222 is not included because we did not analyse this galaxy because its nuclear dust content is high.