Top panels: V-band face-on projected surface brightness distribution of a (left) symmetric galaxy pre-classified as lopsided $({\mathrm{SG}}_{{\mathrm{A}}_1}-{\mathrm{LG}}_{\mathrm{m}})$ and a (right) lopsided galaxy pre-classified as symmetric $({\mathrm{LG}}_{{\mathrm{A}}_1}-{\mathrm{SG}}_{\mathrm{m}})$, considered as examples of the misclassification made by SMOTE + RF. On the upper side, their respective A₁ value and classification case are plotted on the left, and their ID and redshift z on the right. On the bottom right, the values of the stellar mass (M_*), central stellar mass density (μ_*), and tidal parameter (T_P) are plotted. The dashed cyan lines represent the inner radius R₅₀ and the solid cyan lines represent the outer radius 1.4R₉₀, which are the limits of the radial interval used in the Fourier decomposition. Middle panels: Lopsidedness and stellar density profiles with respect to the radius, up to 1.4R₉₀. In both cases, the cyan lines represent the start of the radial interval, R₅₀. The dashed pink lines represent the average central stellar mass density (μ_*) of the full sample, with a value of 8.3, while the red stars represent the value of the cental stellar mass density of the galaxy, μ_*, within R₅₀. Bottom panels: Lopsidedness and the respective orbit of the most massive satellite with respect to lookback time. The dashed red line represents the A₁ threshold to classify lopsided and symmetric galaxies. The horizontal cyan line represents 0.5 × R₂₀₀, where R₂₀₀ is defined as the virial radius of the central galaxy.