Quantitative summary with the results of the polytropic fit to the profiles shown in Fig. 1. Medium- (Relative RMS > 0.02) and high-quality (≤0.02) fits are represented with different colors, as indicated in the bottom panel. Top panel: Scatter plot of the polytropic index, m, as a function of the stellar mass of the galaxy. Middle panel: Variation of the core radius with stellar mass. More massive galaxies tend to have larger cores. Bottom panel: Scatter plot with the variation of the absolute RMS with stellar mass. Good fits (blue dots) have absolute RMS ≲0.03 dex.