Relation between the shape parameters q, s, and T of the entire DM halos and the gas inflow field asphericity ζ at a radius of 1R_vir, where higher ζ means that the flow field is more aspherical. The individual data points are colored according to the total mass. The black lines indicate the median values in the respective asphericity bins and the shaded regions the 1σ ranges (containing 68% of the galaxies above and below the median). The dashed part of the lines indicates where there may be effects caused by low number statistics.