Distributions of the median p-values for an HVS observed sample that crossed a triaxial DM halo. Panel a: distributions of the median p-values, p_med (in logarithmic scale), obtained from the 2D KS test comparison of the HVS observed sample against a selection of nine of the n_s = 56 ensembles of mock HVS samples generated in DM halos with different triaxiality parameters. Each distribution is the result of the 2D KS test comparisons of the ’s of the n = n_t = 5000 observed samples obtained in a DM halo with q_y = 1.2 and q_z = 0.9 against the n_t mock samples generated in a DM halo with a different shape, as listed in the panel. Panel b: enlargement of the rightmost part of panel a, with the p_med axis in linear scale. The green and dark green distributions are the only distributions with non-null overlap with the gray distribution. The different shapes of the distributions in panels a and b are due to the different size of the histogram bins in the logarithmic and linear scales.