Omega = 1.0
c1_analytic(|e>, d=2) = 5.296779 -> MATCH
delta=1.0: new-seed means = [np.float64(2.3462), np.float64(2.2392), np.float64(2.2216)] avg = 2.269
delta=2.0: new-seed means = [np.float64(2.4051), np.float64(2.3192), np.float64(2.3217)] avg = 2.3487
