Relative difference between the analytical and random catalogue-based mean ⟨DR⟩ multipoles (ℓ = 0, 2, 4, in the top, middle, and bottom panels, respectively) for VIPERS. The grey shaded area shows the standard deviation among the random catalogues. The predictions use Eq. (17) and p(r) with large (blue), intermediate (red), and small (black) bin sizes. These use vegas with ε = 10⁻⁵. The green line shows the prediction of Eq. (20) obtained with GSL using ε = 10⁻⁴.