Note that ω res and W are not the averages of ω res,i and W i respectively. σ is averaged over incident polarizations E 0 = êx , êy , and êz . For σ i , the three independent polarizations are included together in one data set of size 3N . ω res and ω res,i are determined by fitting a quadratic function over a small range around the peak in σ(ω) and σ i (ω). Because σ(ω) is very broad and flat for U 0 = 10k B T and η ≤ 0.05, we instead extract ω res from a Gaussian fit to the entire extinction spectrum for these few cases.