(*
    This file contains the weight integrands of basic Kontsevich graphs at h^4, in the following format:
        (* <graph encoding>     <weight variable> *)
        W[a,b,c,d,e,f,g,h]
    where W is the weight integrand (a rational function of 8 variables) of the respective graph, such that
        <weight variable> = Integrate[W[a,b,c,d,e,f,g,h], {a, -Infinity, Infinity}, {b, 0, Infinity}, {c, -Infinity, Infinity}, {d, 0, Infinity},
                                                          {e, -Infinity, Infinity}, {f, 0, Infinity}, {g, -Infinity, Infinity}, {h, 0, Infinity}]/(2 Pi)^8
    We are particularly interested in the values of w_4_100, w_4_101, w_4_102, w_4_103, w_4_104, w_4_107, w_4_108, w_4_109, w_4_119, and w_4_125.
    Namely, these 10 determine the values of all the others, via the linear system in Table 6 in https://arxiv.org/abs/1702.00681v1
    In that table one can also find the exact values of some (67) of the weights, e.g. w_4_1 = -1/144.
    Side note: if <weight variable> = 0, then the weight integrand posesses some symmetry which makes the integral vanish.

    -- Ricardo Buring (ricardo.buring@gmail.com)
*)
(* 2 4 1   0 1 0 1 0 2 2 3    w_4_1 *)
(256*b*d*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 1 0 2 3 4    w_4_2 *)
(256*b*d*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 0   0 1 0 1 0 5 2 3    0 *)
(256*b*d*f*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))*(e^2*g - 2*e*(g^2 + h^2) + g*(f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*(e^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 1 2 3 2 3    w_4_3 *)
(256*b*d*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 1 2 3 2 4    w_4_4 *)
(256*b*d*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 1 2 5 3 4    w_4_5 *)
(256*b*d*f*(e - g)*h*(-(a^3*(-d^2 + (c - g)^2 + h^2)) + a*(-2*c^3*e - 2*c*d^2*e - c^2*e^2 + d^2*e^2 - c^2*f^2 + d^2*f^2 - b^2*(c - d - g)*(c + d - g) + 2*(e*(2*(c^2 + d^2) + c*e) + c*f^2)*g - (2*c*e + e^2 + f^2)*g^2 - (b^2 + 2*c*e + e^2 + f^2)*h^2) + (e^2 + f^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) + a^2*(c^3 + 2*c^2*(e - g) - 2*d^2*(e + g) + 2*e*(g^2 + h^2) + c*(d^2 - 4*e*g + g^2 + h^2)) - b^2*(c^3 + 2*d^2*(e - g) - 2*c^2*(e + g) - 2*e*(g^2 + h^2) + c*(d^2 + 4*e*g + g^2 + h^2))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((-1 + c)^2 + d^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 2 0 2    w_4_6 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*(g^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 2 0 3    w_4_7 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 2 1 2    w_4_8 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 2 1 3    w_4_9 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 2 2 3    w_4_10 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 0   0 1 0 2 0 2 3 4    0 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 0 3    w_4_11 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 0 4    w_4_12 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 1 2    w_4_13 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 1 3    w_4_14 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 1 4    w_4_15 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 2 3    w_4_16 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 2 4    w_4_17 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 3 3 4    w_4_18 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 5 1 2    w_4_19 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*h*((f^2 + (e - g)^2)*g + (-2*e + g)*h^2)*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 5 1 3    w_4_20 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*h*((f^2 + (e - g)^2)*g + (-2*e + g)*h^2)*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 5 2 3    w_4_21 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))*(e^2*g - 2*e*(g^2 + h^2) + g*(f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 5 2 4    w_4_22 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 0 5 3 4    w_4_23 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 2 2 3    w_4_24 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - e*(2*b^2 + e) - a^2*(1 + 2*e) + (b - f)*(b + f) + a*(b^2 + e*(2 + e) + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 2 3 4    w_4_25 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(a^3 - e*(2*b^2 + e) - a^2*(1 + 2*e) + (b - f)*(b + f) + a*(b^2 + e*(2 + e) + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 3 1 3    w_4_26 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - e*(2*d^2 + e) - c^2*(1 + 2*e) + (d - f)*(d + f) + c*(d^2 + e*(2 + e) + f^2))*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 3 1 4    w_4_27 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - e*(2*d^2 + e) - c^2*(1 + 2*e) + (d - f)*(d + f) + c*(d^2 + e*(2 + e) + f^2))*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 3 2 3    w_4_28 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - e*(2*d^2 + e) - c^2*(1 + 2*e) + (d - f)*(d + f) + c*(d^2 + e*(2 + e) + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 3 2 4    w_4_29 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - e*(2*d^2 + e) - c^2*(1 + 2*e) + (d - f)*(d + f) + c*(d^2 + e*(2 + e) + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 3 3 4    w_4_30 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(c^3 - e*(2*d^2 + e) - c^2*(1 + 2*e) + (d - f)*(d + f) + c*(d^2 + e*(2 + e) + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 5 2 3    w_4_31 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*h*((f^2 + (e - g)^2)*(-1 + g) + (1 - 2*e + g)*h^2)*(-(a^3*(-d^2 + (c - g)^2 + h^2)) + a*(-(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3)) + (-c^2 + d^2 - 2*g^2)*h^2 - h^4 - b^2*(-d^2 + (c - g)^2 + h^2)) + a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) + (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) - b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 5 2 4    w_4_32 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 1 5 3 4    w_4_33 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 2 3 2 3    w_4_34 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 2 3 2 4    w_4_35 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 2 3 3 4    w_4_36 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 2 5 2 4    w_4_37 *)
(-512*b^3*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(a^2*(e - g) + b^2*(e - g) + g*(e^2 + f^2 - e*g) - e*h^2 + a*(-e^2 - f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 2 5 3 4    w_4_38 *)
(256*b*d*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(-((a^3 - (e^2 + f^2)*g + b^2*(-2*e + g) - a^2*(2*e + g) + a*(b^2 + e^2 + f^2 + 2*e*g))*(-d^2 + (c - g)^2 + h^2)) + (-b^2 + (a - e)^2 + f^2)*(c - g)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 2 3 5 3 4    w_4_39 *)
(-512*b*d^3*(a^3 - 2*a^2*c - 2*b^2*c + a*(b^2 + c^2 + d^2))*f*(e - g)*h*(c^2*(e - g) + d^2*(e - g) + g*(e^2 + f^2 - e*g) - e*h^2 + c*(-e^2 - f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 0 3 2 3    w_4_40 *)
0
(* 2 4 1   0 1 0 4 0 5 2 3    w_4_41 *)
(256*b*d*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4)*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 0 5 2 4    w_4_42 *)
(256*b*d*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(e - g)*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 1 3 2 3    w_4_43 *)
(256*b*d*(c - e)*f*h*(-(a^3*(-d^2 + (c - g)^2 + h^2)) + a*(-(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3)) + (-c^2 + d^2 - 2*g^2)*h^2 - h^4 - b^2*(-d^2 + (c - g)^2 + h^2)) + a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) + (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) - b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 1 5 2 3    w_4_44 *)
(256*b*d*f*h*(-((c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*(e - g)*(f^2 + (e - g)^2 + h^2)*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))) + 2*(c - e)*f^2*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2))*(-2*(e - g)*h^2*(-b^2 + (a - g)^2 + h^2) - (a - g)*(b^2 + (a - g)^2 + h^2)*((e - g)^2 + (f - h)*(f + h))) - (-1 + e)*(-((c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*((e - g)^2 + (f - h)*(f + h))*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))) + ((c - e)^2 + (d - f)*(d + f))*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2))*(-2*(e - g)*h^2*(-b^2 + (a - g)^2 + h^2) - (a - g)*(b^2 + (a - g)^2 + h^2)*((e - g)^2 + (f - h)*(f + h))))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 1 5 2 4    w_4_45 *)
(256*b*d*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(e - g)*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 3 0 4    w_4_46 *)
(256*b*d*(c - e)*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 3 1 4    w_4_47 *)
(256*b*d*(c - e)*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 3 2 3    w_4_48 *)
(256*b*d*(c - e)*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 3 2 4    w_4_49 *)
(256*b*d*(c - e)*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 3 3 4    w_4_50 *)
(256*b*d*(c - e)*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 5 2 3    w_4_51 *)
(256*b*d*f*h*(-((c - e)*(d^2 + (c - e)^2 + f^2)*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))*(-((-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) - 2*d^2*(-2*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - (a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(c - g)*(-2*(e - g)*h^2*(-b^2 + (a - g)^2 + h^2) - (a - g)*(b^2 + (a - g)^2 + h^2)*((e - g)^2 + (f - h)*(f + h))) - c*(-(((c - e)^2 + (d - f)*(d + f))*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))*(-((-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) + (-2*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - (a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(-d^2 + (c - g)^2 + h^2)*(-2*(e - g)*h^2*(-b^2 + (a - g)^2 + h^2) - (a - g)*(b^2 + (a - g)^2 + h^2)*((e - g)^2 + (f - h)*(f + h))))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 5 2 4    w_4_52 *)
(-512*b^3*d*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(e - g)*h*(a^2*(e - g) + b^2*(e - g) + g*(e^2 + f^2 - e*g) - e*h^2 + a*(-e^2 - f^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 2 5 3 4    w_4_53 *)
(256*b*d*f*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 3 5 2 3    w_4_54 *)
(-256*b*d*(c - e)*f*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4)*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 0 4 3 5 2 4    w_4_55 *)
(-256*b*d*(c - e)*f*(e - g)*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*(c^2 + d^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 2 4 2 3 2 3    w_4_56 *)
(512*b^3*d*(c - e)*f*(a^2*(c - e) + b^2*(c - e) + e*(c^2 + d^2 - c*e) - c*f^2 + a*(-c^2 - d^2 + e^2 + f^2))*h*(a^3*(-d^2 + (c - g)^2 + h^2) + a*(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3) + (c^2 - d^2 + 2*g^2)*h^2 + h^4 + b^2*(-d^2 + (c - g)^2 + h^2)) - a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) - (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) + b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 0   0 1 2 4 2 3 3 4    0 *)
(512*b^3*d*(c - e)*f*(a^2*(c - e) + b^2*(c - e) + e*(c^2 + d^2 - c*e) - c*f^2 + a*(-c^2 - d^2 + e^2 + f^2))*h*(c^3*(-f^2 + (e - g)^2 + h^2) + c*(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3) + (e^2 - f^2 + 2*g^2)*h^2 + h^4 + d^2*(-f^2 + (e - g)^2 + h^2)) - c^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) - (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) + d^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 2 4 2 5 2 3    w_4_57 *)
(256*b*(f*(a - g)*h*(b^2 + (a - g)^2 + h^2)*(-((-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*((e - g)^2 + (f - h)*(f + h))*(-2*d^2*(-b^2 + (a - c)^2 + d^2)*(c - g) + (a - c)*(b^2 + (a - c)^2 + d^2)*(-d^2 + (c - g)^2 + h^2))) - (-(d*(-b^2 + (a - c)^2 + d^2)*(c - e)*(d^2 + (c - e)^2 + f^2)) - (a - c)*d*(b^2 + (a - c)^2 + d^2)*((c - e)^2 + (d - f)*(d + f)))*(-d^2 + (c - g)^2 + h^2)*(-((-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) - h*(-b^2 + (a - g)^2 + h^2)*(2*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2*(-2*d^2*(-b^2 + (a - c)^2 + d^2)*(c - g) + (a - c)*(b^2 + (a - c)^2 + d^2)*(-d^2 + (c - g)^2 + h^2)) - f*(-(d*(-b^2 + (a - c)^2 + d^2)*(c - e)*(d^2 + (c - e)^2 + f^2)) - (a - c)*d*(b^2 + (a - c)^2 + d^2)*((c - e)^2 + (d - f)*(d + f)))*(c - g)*(d^2 + (c - g)^2 + h^2)*(-((-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h))))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 2 4 2 5 3 4    w_4_58 *)
(-512*b^3*d*f*(a^2*(c - e) + b^2*(c - e) + e*(c^2 + d^2 - c*e) - c*f^2 + a*(-c^2 - d^2 + e^2 + f^2))*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 0   0 1 2 4 3 5 2 4    0 *)
(512*b^3*d*(c - e)*f*(e - g)*h*(a^2*(c - g) + b^2*(c - g) + g*(c^2 + d^2 - c*g) - c*h^2 + a*(-c^2 - d^2 + g^2 + h^2)))/(((-1 + a)^2 + b^2)*(a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 1 2 4 3 5 3 4    w_4_59 *)
0
(* 2 4 1   0 3 0 2 0 2 1 2    w_4_60 *)
0
(* 2 4 1   0 3 0 2 0 2 1 3    w_4_61 *)
0
(* 2 4 1   0 3 0 2 0 2 1 4    w_4_62 *)
0
(* 2 4 1   0 3 0 2 0 5 1 2    w_4_63 *)
0
(* 2 4 1   0 3 0 2 1 2 1 2    w_4_64 *)
0
(* 2 4 1   0 3 0 2 1 2 1 3    w_4_65 *)
0
(* 2 4 1   0 3 0 2 1 2 1 4    w_4_66 *)
0
(* 2 4 1   0 3 0 2 1 2 2 3    w_4_67 *)
0
(* 2 4 1   0 3 0 2 1 2 2 4    w_4_68 *)
0
(* 2 4 1   0 3 0 2 1 2 3 4    w_4_69 *)
0
(* 2 4 0   0 3 0 2 1 5 2 3    0 *)
0
(* 2 4 1   0 3 0 2 1 5 2 4    w_4_70 *)
0
(* 2 4 1   0 3 0 4 0 2 1 2    w_4_71 *)
0
(* 2 4 1   0 3 0 4 0 5 1 2    w_4_72 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*h*((b^2 + (a - g)^2)*(f^2 + (e - g)^2)*(a - g) - (a^3 + b^2*(2*e - 3*g) - a^2*(2*e + g) + a*(b^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (a - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 0 5 1 3    w_4_73 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 0 5 1 4    w_4_74 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(e - g)*h)/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 0 3    w_4_75 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 0 4    w_4_76 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 1 2    w_4_77 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 1 3    w_4_78 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 1 4    w_4_79 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 2 3    w_4_80 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(-(a^3*(-d^2 + (c - g)^2 + h^2)) + a*(-(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3)) + (-c^2 + d^2 - 2*g^2)*h^2 - h^4 - b^2*(-d^2 + (c - g)^2 + h^2)) + a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) + (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) - b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 2 4    w_4_81 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(-(a^3*(-f^2 + (e - g)^2 + h^2)) + a*(-(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3)) + (-e^2 + f^2 - 2*g^2)*h^2 - h^4 - b^2*(-f^2 + (e - g)^2 + h^2)) + a^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) + (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) - b^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 2 3 4    w_4_82 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*(-(c^3*(-f^2 + (e - g)^2 + h^2)) + c*(-(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3)) + (-e^2 + f^2 - 2*g^2)*h^2 - h^4 - d^2*(-f^2 + (e - g)^2 + h^2)) + c^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) + (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) - d^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 0 3    w_4_83 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 0 4    w_4_84 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 1 2    w_4_85 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 1 3    w_4_86 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 1 4    w_4_87 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 2 3    w_4_88 *)
(256*b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(c - e)*f*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 2 4    w_4_89 *)
(256*b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(c - e)*f*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 3 3 4    w_4_90 *)
(256*b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(c - e)*f*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 5 0 4    w_4_91 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(e - g)*h)/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 5 1 2    w_4_92 *)
(256*b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*f*h*((c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*(a - g)*(b^2 + (a - g)^2 + h^2)*((f^2 + (e - g)^2)*(-1 + g) + (1 - 2*e + g)*h^2) - 2*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*(e - g)*h^2*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2)) - (-1 + g)*(-((c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*(-b^2 + (a - g)^2 + h^2)*((f^2 + (e - g)^2)*(-1 + g) + (1 - 2*e + g)*h^2)) - ((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*((e - g)^2 + (f - h)*(f + h))*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2)))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 5 2 3    w_4_93 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*h*(-2*c*(f^2 + (e - g)^2)*(e^2 + f^2 - e*g) + (f^2 + (e - g)^2)*(e*(d^2 + e^2 + f^2) - (d^2 + e^2 - f^2)*g) + (e^3 - 3*e*f^2 + d^2*(e - g) - e^2*g + f^2*g)*h^2 + 2*c*(f^2 + e*(-e + g))*h^2 + c^2*(e - g)*(f^2 + (e - g)^2 + h^2))*(a^3*(-d^2 + (c - g)^2 + h^2) + a*(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3) + (c^2 - d^2 + 2*g^2)*h^2 + h^4 + b^2*(-d^2 + (c - g)^2 + h^2)) - a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) - (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) + b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 1 5 2 4    w_4_94 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*(e - g)*h*(a^3*((c - e)^2 + (d - f)*(d + f)) + a^2*(-((d^2 + (c - e)^2)*e) + (2*c - e)*f^2 - 2*((c - e)^2 + (d - f)*(d + f))*g) + b^2*(c^2*e + d^2*e - 2*c*e^2 + e^3 - 2*c*f^2 + e*f^2 - 2*((c - e)^2 + (d - f)*(d + f))*g) - ((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(g^2 + h^2) + a*(b^2*((c - e)^2 + (d - f)*(d + f)) + g*(2*(d^2 + (c - e)^2)*e + 2*(-2*c + e)*f^2 + ((c - e)^2 + (d - f)*(d + f))*g) + ((c - e)^2 + (d - f)*(d + f))*h^2)))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((e - g)^2 + (f - h)^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((e - g)^2 + (f + h)^2))
(* 2 4 1   0 3 0 4 1 5 3 4    w_4_95 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 2 3 1 2    w_4_96 *)
0
(* 2 4 1   0 3 0 4 2 3 1 3    w_4_97 *)
0
(* 2 4 1   0 3 0 4 2 3 1 4    w_4_98 *)
0
(* 2 4 1   0 3 0 4 2 5 1 2    w_4_99 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*((b^2 + (a - g)^2)*(f^2 + (e - g)^2)*(a - g) - (a^3 + b^2*(2*e - 3*g) - a^2*(2*e + g) + a*(b^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (a - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 2 5 1 3    w_4_100 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 2 5 1 4    w_4_101 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*(e - g)*h)/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 3 5 1 2    w_4_102 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*((b^2 + (a - g)^2)*(f^2 + (e - g)^2)*(a - g) - (a^3 + b^2*(2*e - 3*g) - a^2*(2*e + g) + a*(b^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (a - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 3 5 1 3    w_4_103 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4))/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 0 4 3 5 1 4    w_4_104 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*(e - g)*h)/((a^2 + b^2)*(c^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 0 3    w_4_105 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 1 2    w_4_106 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(a^3 - g*(2*b^2 + g) - a^2*(1 + 2*g) + (b - h)*(b + h) + a*(b^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 1 4    w_4_107 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 2 3    w_4_108 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 2 4    w_4_109 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 3 3 4    w_4_110 *)
(256*b*(a - c)*d*f*(c^3 - 2*c^2*e - 2*d^2*e + c*(d^2 + e^2 + f^2))*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-d^2 + (c - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 5 2 3    w_4_111 *)
(256*b*(a - c)*d*f*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))*(e^2*g - 2*e*(g^2 + h^2) + g*(f^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 5 2 4    w_4_112 *)
(256*b*(a - c)*d*f*(e - g)*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 0 5 3 4    w_4_113 *)
(256*b*(a - c)*d*f*(e - g)*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 2 3 2 3    w_4_114 *)
(256*b*(a - c)*d*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 2 3 2 4    w_4_115 *)
(256*b*(a - c)*d*f*(-((a - e)*(b^2 + (a - e)^2 + f^2)*(-d^2 + (c - e)^2 + f^2)) + (c - e)*(-b^2 + (a - e)^2 + f^2)*(d^2 + (c - e)^2 + f^2))*h*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-f^2 + (e - g)^2 + h^2)) + (e - g)*(-b^2 + (a - g)^2 + h^2)*(f^2 + (e - g)^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 2 5 2 4    w_4_116 *)
(-512*b^3*(a - c)*d*f*(e - g)*h*(a^2*(e - g) + b^2*(e - g) + g*(e^2 + f^2 - e*g) - e*h^2 + a*(-e^2 - f^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 2 2 5 3 4    w_4_117 *)
(-256*b*(a - c)*d*f*(e - g)*h*(a^3*(-d^2 + (c - g)^2 + h^2) - (e^2 + f^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) - a^2*(c^3 + 2*c^2*(e - g) - 2*d^2*(e + g) + 2*e*(g^2 + h^2) + c*(d^2 - 4*e*g + g^2 + h^2)) + b^2*(c^3 + 2*d^2*(e - g) - 2*c^2*(e + g) - 2*e*(g^2 + h^2) + c*(d^2 + 4*e*g + g^2 + h^2)) + a*(2*c^3*e - d^2*e^2 - d^2*f^2 - 4*d^2*e*g + e^2*g^2 + f^2*g^2 + c^2*(e^2 + f^2 - 4*e*g) + (e^2 + f^2)*h^2 + b^2*(-d^2 + (c - g)^2 + h^2) + 2*c*(d^2*e - g*(e^2 + f^2 - e*g) + e*h^2))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 0 5 1 2    w_4_118 *)
(256*d*f*h*(-2*(b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*(e - g)*h^2*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2)) + b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*(a - g)*(b^2 + (a - g)^2 + h^2)*(e^2*g - 2*e*(g^2 + h^2) + g*(f^2 + g^2 + h^2)) - (-1 + g)*(-((b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c^2*e - 2*c*(e^2 + f^2) + e*(d^2 + e^2 + f^2))*((e - g)^2 + (f - h)*(f + h))*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2))) - b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*(-b^2 + (a - g)^2 + h^2)*(e^2*g - 2*e*(g^2 + h^2) + g*(f^2 + g^2 + h^2)))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 0 5 2 3    w_4_119 *)
(256*(-(f*(b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*(e - g)*h*(f^2 + (e - g)^2 + h^2)*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)) + 2*d*(c - e)*f*(-2*f*(e - g)*h^3*(-((b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(-d^2 + (c - g)^2 + h^2)*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2))) - b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(-b^2 + (a - g)^2 + h^2)*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2))) - f*((e - g)^2 + (f - h)*(f + h))*(-((b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c - g)*h*(d^2 + (c - g)^2 + h^2)*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2))) - b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(a - g)*h*(b^2 + (a - g)^2 + h^2)*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))))) - e*(-(b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*f*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*h*((e - g)^2 + (f - h)*(f + h))*(-((a - g)*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)) + (c - g)*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2))) - d*((c - e)^2 + (d - f)*(d + f))*(-2*f*(e - g)*h^3*(-((b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(-d^2 + (c - g)^2 + h^2)*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2))) - b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(-b^2 + (a - g)^2 + h^2)*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2))) - f*((e - g)^2 + (f - h)*(f + h))*(-((b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c - g)*h*(d^2 + (c - g)^2 + h^2)*(-a^3 + 2*a^2*g + 2*b^2*g - a*(b^2 + g^2 + h^2))) - b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(a - g)*h*(b^2 + (a - g)^2 + h^2)*(c^3 - g*(2*d^2 + g) - c^2*(1 + 2*g) + (d - h)*(d + h) + c*(d^2 + g*(2 + g) + h^2)))))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 0 5 2 4    w_4_120 *)
(-256*b*d*f*(-2*a*(d^2 + (c - e)^2)*(c^2 + d^2 - c*e) + (d^2 + (c - e)^2)*(c*(b^2 + c^2 + d^2) - (b^2 + c^2 - d^2)*e) + (c^3 - 3*c*d^2 + b^2*(c - e) - c^2*e + d^2*e)*f^2 + 2*a*(d^2 + c*(-c + e))*f^2 + a^2*(c - e)*(d^2 + (c - e)^2 + f^2))*(e - g)*h*(a^3 - 2*a^2*g - 2*b^2*g + a*(b^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 0 5 3 4    w_4_121 *)
(-256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*f*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*(e^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 0 3    w_4_122 *)
(256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 0 4    w_4_123 *)
(256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 1 4    w_4_124 *)
(256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(e^3 - g*(2*f^2 + g) - e^2*(1 + 2*g) + (f - h)*(f + h) + e*(f^2 + g*(2 + g) + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 2 3    w_4_125 *)
(256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(-(a^3*(-d^2 + (c - g)^2 + h^2)) + a*(-(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3)) + (-c^2 + d^2 - 2*g^2)*h^2 - h^4 - b^2*(-d^2 + (c - g)^2 + h^2)) + a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) + (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) - b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 2 4    w_4_126 *)
(-256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(a^3*(-f^2 + (e - g)^2 + h^2) + a*(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3) + (e^2 - f^2 + 2*g^2)*h^2 + h^4 + b^2*(-f^2 + (e - g)^2 + h^2)) - a^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) - (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) + b^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 3 3 4    w_4_127 *)
(-256*b*d*(c - e)*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*h*(c^3*(-f^2 + (e - g)^2 + h^2) + c*(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3) + (e^2 - f^2 + 2*g^2)*h^2 + h^4 + d^2*(-f^2 + (e - g)^2 + h^2)) - c^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) - (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) + d^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 0   0 3 1 4 2 5 0 3    0 *)
(256*(-(g*(-(b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*f*(-2*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - (a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*h*((e - g)^2 + (f - h)*(f + h))*(2*d^2*(-c + g) - (-1 + c)*(-d^2 + (c - g)^2 + h^2))) - h*(-d^2 + (c - g)^2 + h^2)*(d*f*(-(b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(-b^2 + (a - e)^2 + f^2)*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)) - (b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*((c - e)^2 + (d - f)*(d + f))*(-a^3 + 2*a^2*e + 2*b^2*e - a*(b^2 + e^2 + f^2)))*(e - g)*(f^2 + (e - g)^2 + h^2) + f*(-(b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(a - e)*(b^2 + (a - e)^2 + f^2)*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)) + 2*d*(b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c - e)*f^2*(-a^3 + 2*a^2*e + 2*b^2*e - a*(b^2 + e^2 + f^2)))*((e - g)^2 + (f - h)*(f + h))))) - h*(2*b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*f*(-2*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - (a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2*(2*d^2*(-c + g) - (-1 + c)*(-d^2 + (c - g)^2 + h^2)) - (c - g)*(d^2 + (c - g)^2 + h^2)*(d*f*(-(b*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(-b^2 + (a - e)^2 + f^2)*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)) - (b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*((c - e)^2 + (d - f)*(d + f))*(-a^3 + 2*a^2*e + 2*b^2*e - a*(b^2 + e^2 + f^2)))*(e - g)*(f^2 + (e - g)^2 + h^2) + f*(-(b*d*(a^2*c - 2*a*(c^2 + d^2) + c*(b^2 + c^2 + d^2))*(a - e)*(b^2 + (a - e)^2 + f^2)*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)) + 2*d*(b*(b^2 + (a - c)^2)*(-1 + c) + b*(1 - 2*a + c)*d^2)*(c - e)*f^2*(-a^3 + 2*a^2*e + 2*b^2*e - a*(b^2 + e^2 + f^2)))*((e - g)^2 + (f - h)*(f + h))))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 5 0 4    w_4_128 *)
(256*b*d*f*(-2*a*(d^2 + (c - e)^2)*(c^2 + d^2 - c*e) + (d^2 + (c - e)^2)*(c*(b^2 + c^2 + d^2) - (b^2 + c^2 - d^2)*e) + (c^3 - 3*c*d^2 + b^2*(c - e) - c^2*e + d^2*e)*f^2 + 2*a*(d^2 + c*(-c + e))*f^2 + a^2*(c - e)*(d^2 + (c - e)^2 + f^2))*(a^3 - 2*a^2*e - 2*b^2*e + a*(b^2 + e^2 + f^2))*(e - g)*h)/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 5 1 4    w_4_129 *)
(-256*b*d*f*((d^2 + (c - e)^2)*(-1 + e) + (1 - 2*c + e)*f^2)*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*(e - g)*h)/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((e - g)^2 + (f - h)^2)*((-1 + g)^2 + h^2)*((e - g)^2 + (f + h)^2))
(* 2 4 1   0 3 1 4 2 5 2 3    w_4_130 *)
(256*(b*(-1 + c)*(-2*b^2*((a - c)^2 + (b - d)*(b + d))*f*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-((-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(a - g)*((e - g)^2 + (f - h)*(f + h))) + (a - e)*(-b^2 + (a - g)^2 + h^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) + (a - g)*(-d^2 + (c - g)^2 + h^2)*(2*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2 + (a - e)*(b^2 + (a - g)^2 + h^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) + (a - c)*(b^2 + (a - c)^2 + d^2)*((a - g)*h*(b^2 + (a - g)^2 + h^2)*(-d^2 + (c - g)^2 + h^2)*(-(f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*((e - g)^2 + (f - h)*(f + h))) + d*((c - e)^2 + (d - f)*(d + f))*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) - h*(-b^2 + (a - g)^2 + h^2)*(2*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2*(-d^2 + (c - g)^2 + h^2) + d*((c - e)^2 + (d - f)*(d + f))*(c - g)*(d^2 + (c - g)^2 + h^2)*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))))) - d*(-(b*(a - c)*(4*b^2*d*f*h*(-((c - g)*(d^2 + (c - g)^2 + h^2)*(-((-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(a - g)*((e - g)^2 + (f - h)*(f + h))) + (a - e)*(-b^2 + (a - g)^2 + h^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) + (a - g)*(-d^2 + (c - g)^2 + h^2)*(2*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2 + (a - e)*(b^2 + (a - g)^2 + h^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) + (b^2 + (a - c)^2 + d^2)*((a - g)*(b^2 + (a - g)^2 + h^2)*(-2*d*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(c - g)*h*((e - g)^2 + (f - h)*(f + h)) - (c - e)*(d^2 + (c - e)^2 + f^2)*h*(-d^2 + (c - g)^2 + h^2)*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) - (c - g)*h*(-b^2 + (a - g)^2 + h^2)*(4*d*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2 - (c - e)*(d^2 + (c - e)^2 + f^2)*(d^2 + (c - g)^2 + h^2)*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h))))))) - a*(2*b*(a - c)*d*(-(f*(c - g)*h*(-b^2 + (a - g)^2 + h^2)*(d^2 + (c - g)^2 + h^2)*(-((-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*((e - g)^2 + (f - h)*(f + h))) + (-b^2 + (a - e)^2 + f^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) + h*(-d^2 + (c - g)^2 + h^2)*(2*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2*(-b^2 + (a - g)^2 + h^2) + f*(-b^2 + (a - e)^2 + f^2)*(a - g)*(b^2 + (a - g)^2 + h^2)*(d*((c - e)^2 + (d - f)*(d + f))*(e - g)*(f^2 + (e - g)^2 + h^2) - 2*d*(c - e)*f^2*((e - g)^2 + (f - h)*(f + h))))) - b*((a - c)^2 + (b - d)*(b + d))*((a - g)*(b^2 + (a - g)^2 + h^2)*(-2*d*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(c - g)*h*((e - g)^2 + (f - h)*(f + h)) - (c - e)*(d^2 + (c - e)^2 + f^2)*h*(-d^2 + (c - g)^2 + h^2)*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))) - (c - g)*h*(-b^2 + (a - g)^2 + h^2)*(4*d*f*(-2*d*(c - e)*f^2*(-b^2 + (a - e)^2 + f^2) - d*(a - e)*(b^2 + (a - e)^2 + f^2)*((c - e)^2 + (d - f)*(d + f)))*(e - g)*h^2 - (c - e)*(d^2 + (c - e)^2 + f^2)*(d^2 + (c - g)^2 + h^2)*(-(f*(-b^2 + (a - e)^2 + f^2)*(e - g)*(f^2 + (e - g)^2 + h^2)) - (a - e)*f*(b^2 + (a - e)^2 + f^2)*((e - g)^2 + (f - h)*(f + h)))))))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 5 2 4    w_4_131 *)
(512*b^3*d*f*(-2*a*(d^2 + (c - e)^2)*(c^2 + d^2 - c*e) + (d^2 + (c - e)^2)*(c*(b^2 + c^2 + d^2) - (b^2 + c^2 - d^2)*e) + (c^3 - 3*c*d^2 + b^2*(c - e) - c^2*e + d^2*e)*f^2 + 2*a*(d^2 + c*(-c + e))*f^2 + a^2*(c - e)*(d^2 + (c - e)^2 + f^2))*(e - g)*h*(a^2*(e - g) + b^2*(e - g) + g*(e^2 + f^2 - e*g) - e*h^2 + a*(-e^2 - f^2 + g^2 + h^2)))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 2 5 3 4    w_4_132 *)
(256*b*d*f*(a^5 + b^4*(c - 2*e) - a^4*(3*c + 2*e) - c*(c^2 + d^2)*(e^2 + f^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*e + e^2 + f^2) + b^2*(c^3 - 2*c^2*e + 2*d^2*e + c*(d^2 - e^2 - f^2)) + a*(b^4 + 2*c^3*e + 2*c*d^2*e + 3*c^2*(e^2 + f^2) + d^2*(e^2 + f^2) + b^2*(-c^2 - 3*d^2 + 6*c*e + e^2 + f^2)) - a^2*(c^3 + 6*c^2*e + 2*d^2*e + 2*b^2*(c + 2*e) + c*(d^2 + 3*(e^2 + f^2))))*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 3 5 0 4    w_4_133 *)
(256*b*d*((b^2 + (a - c)^2)*c + (-2*a + c)*d^2)*(c - e)*f*(e - g)*h)/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 3 5 1 4    w_4_134 *)
0
(* 2 4 1   0 3 1 4 3 5 2 3    w_4_135 *)
(-256*b*d*(c - e)*f*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4)*(a^5 + b^4*(c - 2*g) - a^4*(3*c + 2*g) - c*(c^2 + d^2)*(g^2 + h^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*g + g^2 + h^2) + b^2*(c^3 - 2*c^2*g + 2*d^2*g + c*(d^2 - g^2 - h^2)) + a*(b^4 + 2*c^3*g + 2*c*d^2*g + 3*c^2*(g^2 + h^2) + d^2*(g^2 + h^2) + b^2*(-c^2 - 3*d^2 + 6*c*g + g^2 + h^2)) - a^2*(c^3 + 6*c^2*g + 2*d^2*g + 2*b^2*(c + 2*g) + c*(d^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 3 5 2 4    w_4_136 *)
(-256*b*d*(c - e)*f*(e - g)*h*(a^5 + b^4*(c - 2*g) - a^4*(3*c + 2*g) - c*(c^2 + d^2)*(g^2 + h^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*g + g^2 + h^2) + b^2*(c^3 - 2*c^2*g + 2*d^2*g + c*(d^2 - g^2 - h^2)) + a*(b^4 + 2*c^3*g + 2*c*d^2*g + 3*c^2*(g^2 + h^2) + d^2*(g^2 + h^2) + b^2*(-c^2 - 3*d^2 + 6*c*g + g^2 + h^2)) - a^2*(c^3 + 6*c^2*g + 2*d^2*g + 2*b^2*(c + 2*g) + c*(d^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((-1 + c)^2 + d^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 1 4 3 5 3 4    w_4_137 *)
0
(* 2 4 0   0 3 2 4 0 3 1 3    0 *)
0
(* 2 4 1   0 3 2 4 1 3 0 3    w_4_138 *)
(-256*b*(a - c)*d*(c - e)*f*h*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*(g^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 1 3 2 3    w_4_139 *)
(256*b*(a - c)*d*(c - e)*f*h*(a^3*(-d^2 + (c - g)^2 + h^2) + a*(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3) + (c^2 - d^2 + 2*g^2)*h^2 + h^4 + b^2*(-d^2 + (c - g)^2 + h^2)) - a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) - (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) + b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 1 3 2 4    w_4_140 *)
(256*b*(a - c)*d*(c - e)*f*h*(a^3*(-f^2 + (e - g)^2 + h^2) + a*(g*(2*e^3 + 2*e*f^2 - 3*e^2*g - 5*f^2*g + g^3) + (e^2 - f^2 + 2*g^2)*h^2 + h^4 + b^2*(-f^2 + (e - g)^2 + h^2)) - a^2*(e^3 + e*(f^2 - 3*g^2 + h^2) + 2*g*(-2*f^2 + g^2 + h^2)) - (g^2 + h^2)*(e^3 - 2*e^2*g - 2*f^2*g + e*(f^2 + g^2 + h^2)) + b^2*(e^3 - 4*e^2*g - 2*g*(g^2 + h^2) + e*(f^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 1 5 2 3    w_4_141 *)
(-256*b*(a - c)*d*f*h*(-2*c*(f^2 + (e - g)^2)*(e^2 + f^2 - e*g) + (f^2 + (e - g)^2)*(e*(d^2 + e^2 + f^2) - (d^2 + e^2 - f^2)*g) + (e^3 - 3*e*f^2 + d^2*(e - g) - e^2*g + f^2*g)*h^2 + 2*c*(f^2 + e*(-e + g))*h^2 + c^2*(e - g)*(f^2 + (e - g)^2 + h^2))*(a^3*(-d^2 + (c - g)^2 + h^2) + a*(g*(2*c^3 + 2*c*d^2 - 3*c^2*g - 5*d^2*g + g^3) + (c^2 - d^2 + 2*g^2)*h^2 + h^4 + b^2*(-d^2 + (c - g)^2 + h^2)) - a^2*(c^3 + c*(d^2 - 3*g^2 + h^2) + 2*g*(-2*d^2 + g^2 + h^2)) - (g^2 + h^2)*(c^3 - 2*c^2*g - 2*d^2*g + c*(d^2 + g^2 + h^2)) + b^2*(c^3 - 4*c^2*g - 2*g*(g^2 + h^2) + c*(d^2 + 5*g^2 + h^2))))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 1 5 2 4    w_4_142 *)
(-256*b*(a - c)*d*f*(e - g)*h*(a^3*((c - e)^2 + (d - f)*(d + f)) + a^2*(-((d^2 + (c - e)^2)*e) + (2*c - e)*f^2 - 2*((c - e)^2 + (d - f)*(d + f))*g) + b^2*(c^2*e + d^2*e - 2*c*e^2 + e^3 - 2*c*f^2 + e*f^2 - 2*((c - e)^2 + (d - f)*(d + f))*g) - ((d^2 + (c - e)^2)*e + (-2*c + e)*f^2)*(g^2 + h^2) + a*(b^2*((c - e)^2 + (d - f)*(d + f)) + g*(2*(d^2 + (c - e)^2)*e + 2*(-2*c + e)*f^2 + ((c - e)^2 + (d - f)*(d + f))*g) + ((c - e)^2 + (d - f)*(d + f))*h^2)))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 1 5 3 4    w_4_143 *)
(-256*b*(a - c)*d*f*(e - g)*h*(c^5 + d^4*(e - 2*g) - c^4*(3*e + 2*g) - e*(e^2 + f^2)*(g^2 + h^2) + c^3*(2*d^2 + 3*e^2 + f^2 + 6*e*g + g^2 + h^2) + d^2*(e^3 - 2*e^2*g + 2*f^2*g + e*(f^2 - g^2 - h^2)) + c*(d^4 + 2*e^3*g + 2*e*f^2*g + 3*e^2*(g^2 + h^2) + f^2*(g^2 + h^2) + d^2*(-e^2 - 3*f^2 + 6*e*g + g^2 + h^2)) - c^2*(e^3 + 6*e^2*g + 2*f^2*g + 2*d^2*(e + 2*g) + e*(f^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 2 3 1 3    w_4_144 *)
0
(* 2 4 1   0 3 2 4 2 3 1 4    w_4_145 *)
0
(* 2 4 1   0 3 2 4 2 5 1 3    w_4_146 *)
(256*b*(a - c)*d*f*((b^2 + (a - e)^2)*(d^2 + (c - e)^2)*(a - e) - (a^3 + b^2*(2*c - 3*e) - a^2*(2*c + e) + a*(b^2 - c^2 - d^2 + 6*c*e - 2*e^2) + e*(c^2 + d^2 - 4*c*e + 2*e^2))*f^2 - (a - 2*c + e)*f^4)*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((b^2 + (a - e)^2)^2 + 2*(a - b - e)*(a + b - e)*f^2 + f^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 3 5 1 3    w_4_147 *)
(256*b*(a - c)*d*(c - e)*f*h*((d^2 + (c - g)^2)*(f^2 + (e - g)^2)*(c - g) - (c^3 + d^2*(2*e - 3*g) - c^2*(2*e + g) + c*(d^2 - e^2 - f^2 + 6*e*g - 2*g^2) + g*(e^2 + f^2 - 4*e*g + 2*g^2))*h^2 - (c - 2*e + g)*h^4))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 2 4 3 5 1 4    w_4_148 *)
(256*b*(a - c)*d*(c - e)*f*(e - g)*h)/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((-1 + g)^2 + h^2)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))
(* 2 4 1   0 3 4 5 1 5 2 3    w_4_149 *)
(-256*b*d*f*(c - g)*h*(-2*c*(f^2 + (e - g)^2)*(e^2 + f^2 - e*g) + (f^2 + (e - g)^2)*(e*(d^2 + e^2 + f^2) - (d^2 + e^2 - f^2)*g) + (e^3 - 3*e*f^2 + d^2*(e - g) - e^2*g + f^2*g)*h^2 + 2*c*(f^2 + e*(-e + g))*h^2 + c^2*(e - g)*(f^2 + (e - g)^2 + h^2))*(a^5 + b^4*(c - 2*g) - a^4*(3*c + 2*g) - c*(c^2 + d^2)*(g^2 + h^2) + a^3*(2*b^2 + 3*c^2 + d^2 + 6*c*g + g^2 + h^2) + b^2*(c^3 - 2*c^2*g + 2*d^2*g + c*(d^2 - g^2 - h^2)) + a*(b^4 + 2*c^3*g + 2*c*d^2*g + 3*c^2*(g^2 + h^2) + d^2*(g^2 + h^2) + b^2*(-c^2 - 3*d^2 + 6*c*g + g^2 + h^2)) - a^2*(c^3 + 6*c^2*g + 2*d^2*g + 2*b^2*(c + 2*g) + c*(d^2 + 3*(g^2 + h^2)))))/((a^2 + b^2)*((b^2 + (a - c)^2)^2 + 2*(a - b - c)*(a + b - c)*d^2 + d^4)*((-1 + e)^2 + f^2)*((d^2 + (c - e)^2)^2 + 2*(c - d - e)*(c + d - e)*f^2 + f^4)*((b^2 + (a - g)^2)^2 + 2*(a - b - g)*(a + b - g)*h^2 + h^4)*((d^2 + (c - g)^2)^2 + 2*(c - d - g)*(c + d - g)*h^2 + h^4)*((f^2 + (e - g)^2)^2 + 2*(e - f - g)*(e + f - g)*h^2 + h^4))