Our numerical estimation (dashed) of total (black) ohmic (red) and viscous (blue) dissipation in the same fast shock as Fig. B.1 compared to the actual quantities in the best-fit model (solid lines with corresponding colours). We note that the correct share between ohmic and viscous dissipation relies on the effective Ƥ_m being close to the actual input value of Ƥ_m, so the method we use is worse for greater velocity shocks.