Average turbulent magnetic field strength in filaments δB as a function of the average hydrogen volume density for filaments located at the LB wall. The fit ln(δB) = 0.71 ± 0.02 + (0.59 ± 0.01) ln(n_H) for all 6568 filaments is indicated in red. When fitting only prominent filaments with surfaces for n_s > 500 (right from the vertical blue line in Fig. 23 top), we get ln(δB) = 1.03 ± 0.09 + (0.53 ± 0.04)ln(n_H) as indicated by the blue line.