(1) 0 < f'' <= 1 and f'' strictly decreasing at 2580 points of (0, 60]; M < (w^2+2)/(w^3+3w) there (smallest relative gap 1.282e-10)
(2) 3000 random K (1-3 atoms, |x| in [0.05, 1.54], Gaussian part in half of them), 207 with int|x|dK <= 2 (C(q5) - c) = 0.11443
    max of (E|Z_K| - c) / ((1/2) int|x|dK) = +0.08613 at 1.0000 d-1.3687 + 0.0000 G (E|Z_K| = 0.856828, int|x|dK = 1.3687)
    min of (E|Z_K| - c) / ((1/2) int|x|dK) = -0.29222 at 0.4680 d1.4574 + 0.5320 d-1.4563 + 0.0000 G (E|Z_K| = 0.585032, int|x|dK = 1.4568)
    single atoms delta_x (E|x(N - 1/x^2)|, closed form): ratio (E|Z| - c)/(x/2)
      x = 0.02: E|Z| = 0.797858, ratio -0.0027
      x = 0.05: E|Z| = 0.797718, ratio -0.0066
      x = 0.10: E|Z| = 0.797220, ratio -0.0133
      x = 0.20: E|Z| = 0.795230, ratio -0.0266
      x = 0.30: E|Z| = 0.795410, ratio -0.0165
      x = 0.50: E|Z| = 0.781467, ratio -0.0657
