“…We consider 9 and 8 Y500c bins for Magneticum and illustris-TNG respectively. The number of clusters in each bin is[138,74,54,37,20,17,5,2,2] and[42,23,24,9,7,2,1,2] respectively. For the Magneticum case, we have checked that reducing to 5 bins does not change the result.…”