Top: mass density of dark matter (DM) measured in a sphere of radius 0.5 kpc at three points in each galaxy of varying dark matter halo spin, λ. Bottom: ratio of the parallel dark matter bar mass density over the perpendicular dark matter wake mass density. Measurements are taken when the stellar bar is at maximum strength late in the evolution in each model. We plot average values using data from five nearby snapshots and error bars show the standard deviation.