where Ē = ω c = ⟨E eg ⟩ N = 1.00 is the expected average of the spectrum and ∆E/ Ã0 = 64 = 4 σ max / Ã0 (σ to be introduced later) is the expected span of the spectrum such that the eigenvalues of Ĥ lie on the interval (-1, 1).