Top left: Distortion function according to Eq. (1). The solid line represents the L = 0.1 case; the dashed lines show the cases of L = 0.09 to L = −0.1. Top right: One hundred realisations of an enclosed DM mass profile (from J1525) modified by random distortion functions with L varying from –0.5 to 0.5. Middle left to bottom right panel: Changing concentration to virial mass relation for 1000 realisation with randomly chosen L-values (0.05, middle left; 0.1 middle right; 0.2, bottom left; 0.5, bottom right) shown in red. The blue point cloud represents the fits to the original DM profiles.