Individual radial profiles of the Lyα velocity dispersion of the QSO MUSEUM III nebulae. Each profile is computed by averaging the Lyα velocity dispersion maps from Figures 8 and C.6 inside the S/N > 3 mask, using the same annuli as the profiles from Figure 10. Top left: The profiles are color-coded by the peak Lyα luminosity density of the quasar. Top right: The profiles are color-coded by the bolometric luminosity of the quasar. Bottom left: The profiles are color-coded by the black hole mass of the quasar. Bottom right: The profiles are color-coded by the Eddington ratio of the quasar. Additionally, we show in each panel the median velocity dispersion profile of the faint and bright samples, color-coded by each property with the median value of each bin indicated at the top right corner of the panel. In each panel, values below the MUSE spectral resolution limit (σ = 72 km s⁻¹) are shown with a dashed gray area.