Notes. For each field, we give the number J of scales that we probed, the value of J_min , the value of N, which corresponds to the angular resolution of the wavelets, and the δ_j parameter, which corresponds to the maximum distance between pairs of scales whose interactions are characterised. We also indicate whether we performed a logarithmic (log.) or a linear (lin.) transformation on the target map, as discussed in Sect. 4.1. The last column gives the total number of terms that compose our summary statistics Φ(x), with, in parentheses, the detailed count for S₁ (equal to S ₂), S₃ , and S₄.