Left we present the first three moments maps of NGC 4388, obtained from the best-fit model, giving the adopted M_BH, compared with the NGC 4388 CO(3-2) molecular gas deduced from the García-Burillo et al. (2021) ALMA observations. From left to right, the integrated intensity, the velocity field, and the velocity dispersion; the top is the observation, the bottom is the best-fit model. On the right, we present the observed PVD, with the best-fit model overlaid in red contours. The parameters used for the fit are presented in Table A.1.