\(\int \frac {1}{(d+e x^2) (a+b x^2+c x^4)^2} \, dx\) [274]

Optimal result

Integrand size = 24, antiderivative size = 660 \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\frac {x \left (b^2 c d-2 a c^2 d-b^3 e+3 a b c e+c \left (b c d-b^2 e+2 a c e\right ) x^2\right )}{2 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x^2+c x^4\right )}-\frac {\sqrt {c} e^2 \left (e-\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {\sqrt {c} \left (b c d-b^2 e+2 a c e+\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )}-\frac {\sqrt {c} e^2 \left (e+\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {\sqrt {c} \left (b c d-b^2 e+2 a c e-\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )}+\frac {e^{7/2} \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2} \]

[Out]

1/2*x*(b^2*c*d-2*a*c^2*d-b^3*e+3*a*b*c*e+c*(2*a*c*e-b^2*e+b*c*d)*x^2)/a/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^
4+b*x^2+a)+e^(7/2)*arctan(x*e^(1/2)/d^(1/2))/(a*e^2-b*d*e+c*d^2)^2/d^(1/2)-1/2*e^2*arctan(x*2^(1/2)*c^(1/2)/(b
-(-4*a*c+b^2)^(1/2))^(1/2))*c^(1/2)*(e+(b*e-2*c*d)/(-4*a*c+b^2)^(1/2))/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/(b-(-4*a*
c+b^2)^(1/2))^(1/2)+1/4*arctan(x*2^(1/2)*c^(1/2)/(b-(-4*a*c+b^2)^(1/2))^(1/2))*c^(1/2)*(b*c*d-b^2*e+2*a*c*e+(8
*a*b*c*e-12*a*c^2*d-b^3*e+b^2*c*d)/(-4*a*c+b^2)^(1/2))/a/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)*2^(1/2)/(b-(-4*a*c+b
^2)^(1/2))^(1/2)-1/2*e^2*arctan(x*2^(1/2)*c^(1/2)/(b+(-4*a*c+b^2)^(1/2))^(1/2))*c^(1/2)*(e+(-b*e+2*c*d)/(-4*a*
c+b^2)^(1/2))/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/(b+(-4*a*c+b^2)^(1/2))^(1/2)+1/4*arctan(x*2^(1/2)*c^(1/2)/(b+(-4*a
*c+b^2)^(1/2))^(1/2))*c^(1/2)*(b*c*d-b^2*e+2*a*c*e+(-8*a*b*c*e+12*a*c^2*d+b^3*e-b^2*c*d)/(-4*a*c+b^2)^(1/2))/a
/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)*2^(1/2)/(b+(-4*a*c+b^2)^(1/2))^(1/2)

Rubi [A] (verified)

Time = 1.72 (sec) , antiderivative size = 660, normalized size of antiderivative = 1.00, number of steps used = 10, number of rules used = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {1252, 211, 1192, 1180} \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=-\frac {\sqrt {c} e^2 \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right ) \left (e-\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right )}{\sqrt {2} \sqrt {b-\sqrt {b^2-4 a c}} \left (a e^2-b d e+c d^2\right )^2}-\frac {\sqrt {c} e^2 \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {\sqrt {b^2-4 a c}+b}}\right ) \left (\frac {2 c d-b e}{\sqrt {b^2-4 a c}}+e\right )}{\sqrt {2} \sqrt {\sqrt {b^2-4 a c}+b} \left (a e^2-b d e+c d^2\right )^2}+\frac {\sqrt {c} \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right ) \left (\frac {8 a b c e-12 a c^2 d+b^3 (-e)+b^2 c d}{\sqrt {b^2-4 a c}}+2 a c e+b^2 (-e)+b c d\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {b-\sqrt {b^2-4 a c}} \left (a e^2-b d e+c d^2\right )}+\frac {\sqrt {c} \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {\sqrt {b^2-4 a c}+b}}\right ) \left (-\frac {8 a b c e-12 a c^2 d+b^3 (-e)+b^2 c d}{\sqrt {b^2-4 a c}}+2 a c e+b^2 (-e)+b c d\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {\sqrt {b^2-4 a c}+b} \left (a e^2-b d e+c d^2\right )}+\frac {e^{7/2} \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (a e^2-b d e+c d^2\right )^2}+\frac {x \left (c x^2 \left (2 a c e+b^2 (-e)+b c d\right )+3 a b c e-2 a c^2 d+b^3 (-e)+b^2 c d\right )}{2 a \left (b^2-4 a c\right ) \left (a+b x^2+c x^4\right ) \left (a e^2-b d e+c d^2\right )} \]

[In]

Int[1/((d + e*x^2)*(a + b*x^2 + c*x^4)^2),x]

[Out]

(x*(b^2*c*d - 2*a*c^2*d - b^3*e + 3*a*b*c*e + c*(b*c*d - b^2*e + 2*a*c*e)*x^2))/(2*a*(b^2 - 4*a*c)*(c*d^2 - b*
d*e + a*e^2)*(a + b*x^2 + c*x^4)) - (Sqrt[c]*e^2*(e - (2*c*d - b*e)/Sqrt[b^2 - 4*a*c])*ArcTan[(Sqrt[2]*Sqrt[c]
*x)/Sqrt[b - Sqrt[b^2 - 4*a*c]]])/(Sqrt[2]*Sqrt[b - Sqrt[b^2 - 4*a*c]]*(c*d^2 - b*d*e + a*e^2)^2) + (Sqrt[c]*(
b*c*d - b^2*e + 2*a*c*e + (b^2*c*d - 12*a*c^2*d - b^3*e + 8*a*b*c*e)/Sqrt[b^2 - 4*a*c])*ArcTan[(Sqrt[2]*Sqrt[c
]*x)/Sqrt[b - Sqrt[b^2 - 4*a*c]]])/(2*Sqrt[2]*a*(b^2 - 4*a*c)*Sqrt[b - Sqrt[b^2 - 4*a*c]]*(c*d^2 - b*d*e + a*e
^2)) - (Sqrt[c]*e^2*(e + (2*c*d - b*e)/Sqrt[b^2 - 4*a*c])*ArcTan[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*c
]]])/(Sqrt[2]*Sqrt[b + Sqrt[b^2 - 4*a*c]]*(c*d^2 - b*d*e + a*e^2)^2) + (Sqrt[c]*(b*c*d - b^2*e + 2*a*c*e - (b^
2*c*d - 12*a*c^2*d - b^3*e + 8*a*b*c*e)/Sqrt[b^2 - 4*a*c])*ArcTan[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*
c]]])/(2*Sqrt[2]*a*(b^2 - 4*a*c)*Sqrt[b + Sqrt[b^2 - 4*a*c]]*(c*d^2 - b*d*e + a*e^2)) + (e^(7/2)*ArcTan[(Sqrt[
e]*x)/Sqrt[d]])/(Sqrt[d]*(c*d^2 - b*d*e + a*e^2)^2)

Rule 211

Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(Rt[a/b, 2]/a)*ArcTan[x/Rt[a/b, 2]], x] /; FreeQ[{a, b}, x]
&& PosQ[a/b]

Rule 1180

Int[((d_) + (e_.)*(x_)^2)/((a_) + (b_.)*(x_)^2 + (c_.)*(x_)^4), x_Symbol] :> With[{q = Rt[b^2 - 4*a*c, 2]}, Di
st[e/2 + (2*c*d - b*e)/(2*q), Int[1/(b/2 - q/2 + c*x^2), x], x] + Dist[e/2 - (2*c*d - b*e)/(2*q), Int[1/(b/2 +
q/2 + c*x^2), x], x]] /; FreeQ[{a, b, c, d, e}, x] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - a*e^2, 0] && PosQ[b^
2 - 4*a*c]

Rule 1192

Int[((d_) + (e_.)*(x_)^2)*((a_) + (b_.)*(x_)^2 + (c_.)*(x_)^4)^(p_), x_Symbol] :> Simp[x*(a*b*e - d*(b^2 - 2*a
*c) - c*(b*d - 2*a*e)*x^2)*((a + b*x^2 + c*x^4)^(p + 1)/(2*a*(p + 1)*(b^2 - 4*a*c))), x] + Dist[1/(2*a*(p + 1)
*(b^2 - 4*a*c)), Int[Simp[(2*p + 3)*d*b^2 - a*b*e - 2*a*c*d*(4*p + 5) + (4*p + 7)*(d*b - 2*a*e)*c*x^2, x]*(a +
b*x^2 + c*x^4)^(p + 1), x], x] /; FreeQ[{a, b, c, d, e}, x] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - b*d*e + a*e
^2, 0] && LtQ[p, -1] && IntegerQ[2*p]

Rule 1252

Int[((d_) + (e_.)*(x_)^2)^(q_)*((a_) + (b_.)*(x_)^2 + (c_.)*(x_)^4)^(p_), x_Symbol] :> Int[ExpandIntegrand[(d
+ e*x^2)^q*(a + b*x^2 + c*x^4)^p, x], x] /; FreeQ[{a, b, c, d, e, p, q}, x] && NeQ[b^2 - 4*a*c, 0] && ((Intege
rQ[p] && IntegerQ[q]) || IGtQ[p, 0] || IGtQ[q, 0])

Rubi steps \begin{align*} \text {integral}& = \int \left (\frac {e^4}{\left (c d^2-b d e+a e^2\right )^2 \left (d+e x^2\right )}+\frac {c d-b e-c e x^2}{\left (c d^2-b d e+a e^2\right ) \left (a+b x^2+c x^4\right )^2}-\frac {e^2 \left (-c d+b e+c e x^2\right )}{\left (c d^2-b d e+a e^2\right )^2 \left (a+b x^2+c x^4\right )}\right ) \, dx \\ & = -\frac {e^2 \int \frac {-c d+b e+c e x^2}{a+b x^2+c x^4} \, dx}{\left (c d^2-b d e+a e^2\right )^2}+\frac {e^4 \int \frac {1}{d+e x^2} \, dx}{\left (c d^2-b d e+a e^2\right )^2}+\frac {\int \frac {c d-b e-c e x^2}{\left (a+b x^2+c x^4\right )^2} \, dx}{c d^2-b d e+a e^2} \\ & = \frac {x \left (b^2 c d-2 a c^2 d-b^3 e+3 a b c e+c \left (b c d-b^2 e+2 a c e\right ) x^2\right )}{2 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x^2+c x^4\right )}+\frac {e^{7/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2}-\frac {\int \frac {-b^2 c d+6 a c^2 d+b^3 e-5 a b c e-c \left (b c d-b^2 e+2 a c e\right ) x^2}{a+b x^2+c x^4} \, dx}{2 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )}-\frac {\left (c e^2 \left (e-\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right )\right ) \int \frac {1}{\frac {b}{2}-\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{2 \left (c d^2-b d e+a e^2\right )^2}-\frac {\left (c e^2 \left (e+\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right )\right ) \int \frac {1}{\frac {b}{2}+\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{2 \left (c d^2-b d e+a e^2\right )^2} \\ & = \frac {x \left (b^2 c d-2 a c^2 d-b^3 e+3 a b c e+c \left (b c d-b^2 e+2 a c e\right ) x^2\right )}{2 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x^2+c x^4\right )}-\frac {\sqrt {c} e^2 \left (e-\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}-\frac {\sqrt {c} e^2 \left (e+\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {e^{7/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2}+\frac {\left (c \left (b c d-b^2 e+2 a c e-\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right )\right ) \int \frac {1}{\frac {b}{2}+\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{4 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )}+\frac {\left (c \left (b c d-b^2 e+2 a c e+\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right )\right ) \int \frac {1}{\frac {b}{2}-\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{4 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )} \\ & = \frac {x \left (b^2 c d-2 a c^2 d-b^3 e+3 a b c e+c \left (b c d-b^2 e+2 a c e\right ) x^2\right )}{2 a \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x^2+c x^4\right )}-\frac {\sqrt {c} e^2 \left (e-\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {\sqrt {c} \left (b c d-b^2 e+2 a c e+\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )}-\frac {\sqrt {c} e^2 \left (e+\frac {2 c d-b e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {\sqrt {c} \left (b c d-b^2 e+2 a c e-\frac {b^2 c d-12 a c^2 d-b^3 e+8 a b c e}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{2 \sqrt {2} a \left (b^2-4 a c\right ) \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )}+\frac {e^{7/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2} \\ \end{align*}

Mathematica [A] (verified)

Time = 1.62 (sec) , antiderivative size = 708, normalized size of antiderivative = 1.07 \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\frac {\frac {2 \left (c d^2+e (-b d+a e)\right ) x \left (b^3 e-b c \left (3 a e+c d x^2\right )+2 a c^2 \left (d-e x^2\right )+b^2 c \left (-d+e x^2\right )\right )}{a \left (-b^2+4 a c\right ) \left (a+b x^2+c x^4\right )}+\frac {\sqrt {2} \sqrt {c} \left (b^4 d e^2+2 a c \left (-6 c^2 d^3+5 a \sqrt {b^2-4 a c} e^3+c d e \left (\sqrt {b^2-4 a c} d-14 a e\right )\right )+b^3 e \left (-2 c d^2+e \left (\sqrt {b^2-4 a c} d-3 a e\right )\right )+b^2 \left (c^2 d^3-3 a \sqrt {b^2-4 a c} e^3-c d e \left (2 \sqrt {b^2-4 a c} d+3 a e\right )\right )+b c \left (a e^2 \left (-\sqrt {b^2-4 a c} d+16 a e\right )+c d^2 \left (\sqrt {b^2-4 a c} d+20 a e\right )\right )\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{a \left (b^2-4 a c\right )^{3/2} \sqrt {b-\sqrt {b^2-4 a c}}}+\frac {\sqrt {2} \sqrt {c} \left (-b^4 d e^2-b^2 \left (c^2 d^3+3 a \sqrt {b^2-4 a c} e^3+c d e \left (2 \sqrt {b^2-4 a c} d-3 a e\right )\right )+b^3 e \left (2 c d^2+e \left (\sqrt {b^2-4 a c} d+3 a e\right )\right )+2 a c \left (6 c^2 d^3+5 a \sqrt {b^2-4 a c} e^3+c d e \left (\sqrt {b^2-4 a c} d+14 a e\right )\right )+b c \left (c d^2 \left (\sqrt {b^2-4 a c} d-20 a e\right )-a e^2 \left (\sqrt {b^2-4 a c} d+16 a e\right )\right )\right ) \arctan \left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{a \left (b^2-4 a c\right )^{3/2} \sqrt {b+\sqrt {b^2-4 a c}}}+\frac {4 e^{7/2} \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d}}}{4 \left (c d^2+e (-b d+a e)\right )^2} \]

[In]

Integrate[1/((d + e*x^2)*(a + b*x^2 + c*x^4)^2),x]

[Out]

((2*(c*d^2 + e*(-(b*d) + a*e))*x*(b^3*e - b*c*(3*a*e + c*d*x^2) + 2*a*c^2*(d - e*x^2) + b^2*c*(-d + e*x^2)))/(
a*(-b^2 + 4*a*c)*(a + b*x^2 + c*x^4)) + (Sqrt[2]*Sqrt[c]*(b^4*d*e^2 + 2*a*c*(-6*c^2*d^3 + 5*a*Sqrt[b^2 - 4*a*c
]*e^3 + c*d*e*(Sqrt[b^2 - 4*a*c]*d - 14*a*e)) + b^3*e*(-2*c*d^2 + e*(Sqrt[b^2 - 4*a*c]*d - 3*a*e)) + b^2*(c^2*
d^3 - 3*a*Sqrt[b^2 - 4*a*c]*e^3 - c*d*e*(2*Sqrt[b^2 - 4*a*c]*d + 3*a*e)) + b*c*(a*e^2*(-(Sqrt[b^2 - 4*a*c]*d)
+ 16*a*e) + c*d^2*(Sqrt[b^2 - 4*a*c]*d + 20*a*e)))*ArcTan[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b - Sqrt[b^2 - 4*a*c]]])/(a
*(b^2 - 4*a*c)^(3/2)*Sqrt[b - Sqrt[b^2 - 4*a*c]]) + (Sqrt[2]*Sqrt[c]*(-(b^4*d*e^2) - b^2*(c^2*d^3 + 3*a*Sqrt[b
^2 - 4*a*c]*e^3 + c*d*e*(2*Sqrt[b^2 - 4*a*c]*d - 3*a*e)) + b^3*e*(2*c*d^2 + e*(Sqrt[b^2 - 4*a*c]*d + 3*a*e)) +
2*a*c*(6*c^2*d^3 + 5*a*Sqrt[b^2 - 4*a*c]*e^3 + c*d*e*(Sqrt[b^2 - 4*a*c]*d + 14*a*e)) + b*c*(c*d^2*(Sqrt[b^2 -
4*a*c]*d - 20*a*e) - a*e^2*(Sqrt[b^2 - 4*a*c]*d + 16*a*e)))*ArcTan[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*
a*c]]])/(a*(b^2 - 4*a*c)^(3/2)*Sqrt[b + Sqrt[b^2 - 4*a*c]]) + (4*e^(7/2)*ArcTan[(Sqrt[e]*x)/Sqrt[d]])/Sqrt[d])
/(4*(c*d^2 + e*(-(b*d) + a*e))^2)

Maple [A] (verified)

Time = 0.79 (sec) , antiderivative size = 850, normalized size of antiderivative = 1.29

method	result	size
default	\(-\frac {\frac {\frac {c \left (2 a^{2} c \,e^{3}-a \,b^{2} e^{3}-a b c d \,e^{2}+2 a \,c^{2} d^{2} e +b^{3} d \,e^{2}-2 b^{2} c \,d^{2} e +b \,c^{2} d^{3}\right ) x^{3}}{2 a \left (4 a c -b^{2}\right )}+\frac {\left (3 a^{2} b \,e^{3} c -2 a^{2} c^{2} d \,e^{2}-a \,b^{3} e^{3}-2 a \,b^{2} c d \,e^{2}+5 a b \,c^{2} d^{2} e -2 a \,c^{3} d^{3}+b^{4} d \,e^{2}-2 b^{3} c \,d^{2} e +b^{2} c^{2} d^{3}\right ) x}{2 a \left (4 a c -b^{2}\right )}}{c \,x^{4}+b \,x^{2}+a}+\frac {2 c \left (\frac {\left (10 a^{2} c \,e^{3} \sqrt {-4 a c +b^{2}}-3 a \,b^{2} e^{3} \sqrt {-4 a c +b^{2}}-a b c d \,e^{2} \sqrt {-4 a c +b^{2}}+2 a \,c^{2} d^{2} e \sqrt {-4 a c +b^{2}}+b^{3} d \,e^{2} \sqrt {-4 a c +b^{2}}-2 b^{2} c \,d^{2} e \sqrt {-4 a c +b^{2}}+b \,c^{2} d^{3} \sqrt {-4 a c +b^{2}}-16 a^{2} b \,e^{3} c +28 a^{2} c^{2} d \,e^{2}+3 a \,b^{3} e^{3}+3 a \,b^{2} c d \,e^{2}-20 a b \,c^{2} d^{2} e +12 a \,c^{3} d^{3}-b^{4} d \,e^{2}+2 b^{3} c \,d^{2} e -b^{2} c^{2} d^{3}\right ) \sqrt {2}\, \arctan \left (\frac {c x \sqrt {2}}{\sqrt {\left (b +\sqrt {-4 a c +b^{2}}\right ) c}}\right )}{8 \sqrt {-4 a c +b^{2}}\, \sqrt {\left (b +\sqrt {-4 a c +b^{2}}\right ) c}}-\frac {\left (10 a^{2} c \,e^{3} \sqrt {-4 a c +b^{2}}-3 a \,b^{2} e^{3} \sqrt {-4 a c +b^{2}}-a b c d \,e^{2} \sqrt {-4 a c +b^{2}}+2 a \,c^{2} d^{2} e \sqrt {-4 a c +b^{2}}+b^{3} d \,e^{2} \sqrt {-4 a c +b^{2}}-2 b^{2} c \,d^{2} e \sqrt {-4 a c +b^{2}}+b \,c^{2} d^{3} \sqrt {-4 a c +b^{2}}+16 a^{2} b \,e^{3} c -28 a^{2} c^{2} d \,e^{2}-3 a \,b^{3} e^{3}-3 a \,b^{2} c d \,e^{2}+20 a b \,c^{2} d^{2} e -12 a \,c^{3} d^{3}+b^{4} d \,e^{2}-2 b^{3} c \,d^{2} e +b^{2} c^{2} d^{3}\right ) \sqrt {2}\, \operatorname {arctanh}\left (\frac {c x \sqrt {2}}{\sqrt {\left (-b +\sqrt {-4 a c +b^{2}}\right ) c}}\right )}{8 \sqrt {-4 a c +b^{2}}\, \sqrt {\left (-b +\sqrt {-4 a c +b^{2}}\right ) c}}\right )}{a \left (4 a c -b^{2}\right )}}{\left (a \,e^{2}-b d e +c \,d^{2}\right )^{2}}+\frac {e^{4} \arctan \left (\frac {e x}{\sqrt {e d}}\right )}{\left (a \,e^{2}-b d e +c \,d^{2}\right )^{2} \sqrt {e d}}\)	\(850\)
risch	\(\text {Expression too large to display}\)	\(19276\)

[In]

int(1/(e*x^2+d)/(c*x^4+b*x^2+a)^2,x,method=_RETURNVERBOSE)

[Out]

-1/(a*e^2-b*d*e+c*d^2)^2*((1/2*c*(2*a^2*c*e^3-a*b^2*e^3-a*b*c*d*e^2+2*a*c^2*d^2*e+b^3*d*e^2-2*b^2*c*d^2*e+b*c^
2*d^3)/a/(4*a*c-b^2)*x^3+1/2*(3*a^2*b*c*e^3-2*a^2*c^2*d*e^2-a*b^3*e^3-2*a*b^2*c*d*e^2+5*a*b*c^2*d^2*e-2*a*c^3*
d^3+b^4*d*e^2-2*b^3*c*d^2*e+b^2*c^2*d^3)/a/(4*a*c-b^2)*x)/(c*x^4+b*x^2+a)+2/a/(4*a*c-b^2)*c*(1/8*(10*a^2*c*e^3
*(-4*a*c+b^2)^(1/2)-3*a*b^2*e^3*(-4*a*c+b^2)^(1/2)-a*b*c*d*e^2*(-4*a*c+b^2)^(1/2)+2*a*c^2*d^2*e*(-4*a*c+b^2)^(
1/2)+b^3*d*e^2*(-4*a*c+b^2)^(1/2)-2*b^2*c*d^2*e*(-4*a*c+b^2)^(1/2)+b*c^2*d^3*(-4*a*c+b^2)^(1/2)-16*a^2*b*e^3*c
+28*a^2*c^2*d*e^2+3*a*b^3*e^3+3*a*b^2*c*d*e^2-20*a*b*c^2*d^2*e+12*a*c^3*d^3-b^4*d*e^2+2*b^3*c*d^2*e-b^2*c^2*d^
3)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(
1/2))-1/8*(10*a^2*c*e^3*(-4*a*c+b^2)^(1/2)-3*a*b^2*e^3*(-4*a*c+b^2)^(1/2)-a*b*c*d*e^2*(-4*a*c+b^2)^(1/2)+2*a*c
^2*d^2*e*(-4*a*c+b^2)^(1/2)+b^3*d*e^2*(-4*a*c+b^2)^(1/2)-2*b^2*c*d^2*e*(-4*a*c+b^2)^(1/2)+b*c^2*d^3*(-4*a*c+b^
2)^(1/2)+16*a^2*b*e^3*c-28*a^2*c^2*d*e^2-3*a*b^3*e^3-3*a*b^2*c*d*e^2+20*a*b*c^2*d^2*e-12*a*c^3*d^3+b^4*d*e^2-2
*b^3*c*d^2*e+b^2*c^2*d^3)/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(c*x*2^(1/2)/((-
b+(-4*a*c+b^2)^(1/2))*c)^(1/2))))+e^4/(a*e^2-b*d*e+c*d^2)^2/(e*d)^(1/2)*arctan(e*x/(e*d)^(1/2))

Fricas [F(-1)]

Timed out. \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\text {Timed out} \]

[In]

integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm="fricas")

[Out]

Timed out

Sympy [F(-1)]

Timed out. \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\text {Timed out} \]

[In]

integrate(1/(e*x**2+d)/(c*x**4+b*x**2+a)**2,x)

[Out]

Timed out

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 37254 vs. \(2 (574) = 1148\).

Time = 7.05 (sec) , antiderivative size = 37254, normalized size of antiderivative = 56.45 \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\text {Too large to display} \]

[In]

integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm="giac")

[Out]

e^4*arctan(e*x/sqrt(d*e))/((c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2 + 2*a*c*d^2*e^2 - 2*a*b*d*e^3 + a^2*e^4)*sqrt(
d*e)) + 1/16*((2*a^2*b^7*c^8 - 40*a^3*b^5*c^9 + 224*a^4*b^3*c^10 - 384*a^5*b*c^11 - sqrt(2)*sqrt(b^2 - 4*a*c)*
sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^6 + 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3
*b^5*c^7 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^7 - 112*sqrt(2)*sqrt(b^2 - 4*
a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^8 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a^3*b^4*c^8 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^8 + 192*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b*c^9 + 96*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*
c)*a^4*b^2*c^9 + 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^9 - 48*sqrt(2)*sqrt(b^
2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^10 - 2*(b^2 - 4*a*c)*a^2*b^5*c^8 + 32*(b^2 - 4*a*c)*a^3*b^3
*c^9 - 96*(b^2 - 4*a*c)*a^4*b*c^10)*d^11 - 2*(6*a^2*b^8*c^7 - 116*a^3*b^6*c^8 + 640*a^4*b^4*c^9 - 1088*a^5*b^2
*c^10 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 + 58*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^6 + 6*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2
*b^7*c^6 - 320*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^7 - 92*sqrt(2)*sqrt(b^2 - 4
*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^7 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a^2*b^6*c^7 + 544*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^8 + 272*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^8 + 46*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a^3*b^4*c^8 - 136*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^9 - 6*(b^2 - 4*
a*c)*a^2*b^6*c^7 + 92*(b^2 - 4*a*c)*a^3*b^4*c^8 - 272*(b^2 - 4*a*c)*a^4*b^2*c^9)*d^10*e + (30*a^2*b^9*c^6 - 54
2*a^3*b^7*c^7 + 2744*a^4*b^5*c^8 - 3616*a^5*b^3*c^9 - 2432*a^6*b*c^10 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^2*b^9*c^4 + 271*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c^5
+ 30*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 - 1372*sqrt(2)*sqrt(b^2 - 4*a*c)*s
qrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^6 - 422*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3
*b^6*c^6 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^6 + 1808*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^7 + 1056*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*
c)*c)*a^4*b^4*c^7 + 211*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^7 + 1216*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b*c^8 + 608*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^5*b^2*c^8 - 528*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^8 - 304*sqr
t(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b*c^9 - 30*(b^2 - 4*a*c)*a^2*b^7*c^6 + 422*(b^2 - 4
*a*c)*a^3*b^5*c^7 - 1056*(b^2 - 4*a*c)*a^4*b^3*c^8 - 608*(b^2 - 4*a*c)*a^5*b*c^9)*d^9*e^2 - (40*a^2*b^10*c^5 -
634*a^3*b^8*c^6 + 2448*a^4*b^6*c^7 + 608*a^5*b^4*c^8 - 11264*a^6*b^2*c^9 - 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^10*c^3 + 317*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^
8*c^4 + 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^9*c^4 - 1224*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c^5 - 474*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a^3*b^7*c^5 - 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 - 304*sqrt(2)*sqrt(b^
2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^6 + 552*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a^4*b^5*c^6 + 237*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^6 + 5632*sqrt(2
)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 + 2816*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sq
rt(b^2 - 4*a*c)*c)*a^5*b^3*c^7 - 276*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^7 - 1
408*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^8 - 40*(b^2 - 4*a*c)*a^2*b^8*c^5 + 474
*(b^2 - 4*a*c)*a^3*b^6*c^6 - 552*(b^2 - 4*a*c)*a^4*b^4*c^7 - 2816*(b^2 - 4*a*c)*a^5*b^2*c^8)*d^8*e^3 + (30*a^2
*b^11*c^4 - 356*a^3*b^9*c^5 + 164*a^4*b^7*c^6 + 7728*a^5*b^5*c^7 - 16960*a^6*b^3*c^8 - 5888*a^7*b*c^9 - 15*sqr
t(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^11*c^2 + 178*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^3*b^9*c^3 + 30*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^10*c^3
- 82*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^7*c^4 - 236*sqrt(2)*sqrt(b^2 - 4*a*c)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^8*c^4 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^
9*c^4 - 3864*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^5*c^5 - 780*sqrt(2)*sqrt(b^2 - 4*
a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c^5 + 118*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*
c)*a^3*b^7*c^5 + 8480*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^6 + 4608*sqrt(2)*sqr
t(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^6 + 390*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^4*b^5*c^6 + 2944*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b*c^7 + 1472*sqr
t(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 - 2304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^7 - 736*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b*c^8 -
30*(b^2 - 4*a*c)*a^2*b^9*c^4 + 236*(b^2 - 4*a*c)*a^3*b^7*c^5 + 780*(b^2 - 4*a*c)*a^4*b^5*c^6 - 4608*(b^2 - 4*a
*c)*a^5*b^3*c^7 - 1472*(b^2 - 4*a*c)*a^6*b*c^8)*d^7*e^4 - 2*(6*a^2*b^12*c^3 - 22*a^3*b^10*c^4 - 608*a^4*b^8*c^
5 + 3720*a^5*b^6*c^6 - 2624*a^6*b^4*c^7 - 10624*a^7*b^2*c^8 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^2*b^12*c + 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^10*c^2 + 6*sqrt(2)
*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^11*c^2 + 304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqr
t(b^2 - 4*a*c)*c)*a^4*b^8*c^3 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^9*c^3 - 3*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^10*c^3 - 1860*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^5*b^6*c^4 - 600*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^7*c^
4 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^8*c^4 + 1312*sqrt(2)*sqrt(b^2 - 4*a*c)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^4*c^5 + 1320*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*
b^5*c^5 + 300*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c^5 + 5312*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^2*c^6 + 2656*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*
c)*c)*a^6*b^3*c^6 - 660*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^6 - 1328*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 - 6*(b^2 - 4*a*c)*a^2*b^10*c^3 - 2*(b^2 - 4*a*c)*
a^3*b^8*c^4 + 600*(b^2 - 4*a*c)*a^4*b^6*c^5 - 1320*(b^2 - 4*a*c)*a^5*b^4*c^6 - 2656*(b^2 - 4*a*c)*a^6*b^2*c^7)
*d^6*e^5 + (2*a^2*b^13*c^2 + 42*a^3*b^11*c^3 - 704*a^4*b^9*c^4 + 1396*a^5*b^7*c^5 + 8880*a^6*b^5*c^6 - 23872*a
^7*b^3*c^7 - 6912*a^8*b*c^8 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^13 - 21*sqrt(2)*
sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^11*c + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^2*b^12*c + 352*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^9*c^2 + 50*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^10*c^2 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(
b^2 - 4*a*c)*c)*a^2*b^11*c^2 - 698*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 - 504
*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^8*c^3 - 25*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^3*b^9*c^3 - 4440*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c
^4 - 620*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^6*c^4 + 252*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^7*c^4 + 11936*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)
*a^7*b^3*c^5 + 6400*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^4*c^5 + 310*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^5*c^5 + 3456*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 -
4*a*c)*c)*a^8*b*c^6 + 1728*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^2*c^6 - 3200*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^6 - 864*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sq
rt(b^2 - 4*a*c)*c)*a^7*b*c^7 - 2*(b^2 - 4*a*c)*a^2*b^11*c^2 - 50*(b^2 - 4*a*c)*a^3*b^9*c^3 + 504*(b^2 - 4*a*c)
*a^4*b^7*c^4 + 620*(b^2 - 4*a*c)*a^5*b^5*c^5 - 6400*(b^2 - 4*a*c)*a^6*b^3*c^6 - 1728*(b^2 - 4*a*c)*a^7*b*c^7)*
d^5*e^6 - (14*a^3*b^12*c^2 - 48*a^4*b^10*c^3 - 1148*a^5*b^8*c^4 + 6784*a^6*b^6*c^5 - 4800*a^7*b^4*c^6 - 17920*
a^8*b^2*c^7 - 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^12 + 24*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^10*c + 14*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*
a^3*b^11*c + 574*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^8*c^2 + 8*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^9*c^2 - 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*
c)*a^3*b^10*c^2 - 3392*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^6*c^3 - 1116*sqrt(2)*sq
rt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^4*b^8*c^3 + 2400*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^4*c^4 + 2320*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c^4 + 558*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^5*b^6*c^4 + 8960*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^2*c^5
+ 4480*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^3*c^5 - 1160*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^4*c^5 - 2240*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*
a^7*b^2*c^6 - 14*(b^2 - 4*a*c)*a^3*b^10*c^2 - 8*(b^2 - 4*a*c)*a^4*b^8*c^3 + 1116*(b^2 - 4*a*c)*a^5*b^6*c^4 - 2
320*(b^2 - 4*a*c)*a^6*b^4*c^5 - 4480*(b^2 - 4*a*c)*a^7*b^2*c^6)*d^4*e^7 + (36*a^4*b^11*c^2 - 356*a^5*b^9*c^3 +
218*a^6*b^7*c^4 + 5880*a^7*b^5*c^5 - 12448*a^8*b^3*c^6 - 3968*a^9*b*c^7 - 18*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^11 + 178*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^9*c +
36*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^10*c - 109*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^7*c^2 - 212*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^8
*c^2 - 18*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^9*c^2 - 2940*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^5*c^3 - 630*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)
*a^6*b^6*c^3 + 106*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 + 6224*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^3*c^4 + 3360*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 -
4*a*c)*c)*a^7*b^4*c^4 + 315*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c^4 + 1984*sqrt
(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b*c^5 + 992*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqr
t(b^2 - 4*a*c)*c)*a^8*b^2*c^5 - 1680*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^3*c^5 - 4
96*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b*c^6 - 36*(b^2 - 4*a*c)*a^4*b^9*c^2 + 212*(b
^2 - 4*a*c)*a^5*b^7*c^3 + 630*(b^2 - 4*a*c)*a^6*b^5*c^4 - 3360*(b^2 - 4*a*c)*a^7*b^3*c^5 - 992*(b^2 - 4*a*c)*a
^8*b*c^6)*d^3*e^8 - 2*(22*a^5*b^10*c^2 - 270*a^6*b^8*c^3 + 908*a^7*b^6*c^4 + 64*a^8*b^4*c^5 - 3136*a^9*b^2*c^6
- 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^10 + 135*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^8*c + 22*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^9*c
- 454*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^6*c^2 - 182*sqrt(2)*sqrt(b^2 - 4*a*c)*sq
rt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^7*c^2 - 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b
^8*c^2 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^4*c^3 + 180*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^5*c^3 + 91*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)
*a^6*b^6*c^3 + 1568*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b^2*c^4 + 784*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^3*c^4 - 90*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a^7*b^4*c^4 - 392*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^2*c^5 - 22*(b^2 - 4
*a*c)*a^5*b^8*c^2 + 182*(b^2 - 4*a*c)*a^6*b^6*c^3 - 180*(b^2 - 4*a*c)*a^7*b^4*c^4 - 784*(b^2 - 4*a*c)*a^8*b^2*
c^5)*d^2*e^9 + (26*a^6*b^9*c^2 - 342*a^7*b^7*c^3 + 1432*a^8*b^5*c^4 - 1696*a^9*b^3*c^5 - 896*a^10*b*c^6 - 13*s
qrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^9 + 171*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sq
rt(b^2 - 4*a*c)*c)*a^7*b^7*c + 26*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^8*c - 716*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^5*c^2 - 238*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^7*b^6*c^2 - 13*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^7*c^2 +
848*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b^3*c^3 + 480*sqrt(2)*sqrt(b^2 - 4*a*c)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^4*c^3 + 119*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b
^5*c^3 + 448*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^10*b*c^4 + 224*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b^2*c^4 - 240*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a^8*b^3*c^4 - 112*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b*c^5 - 26*(b^2 - 4*a*c)*a^6
*b^7*c^2 + 238*(b^2 - 4*a*c)*a^7*b^5*c^3 - 480*(b^2 - 4*a*c)*a^8*b^3*c^4 - 224*(b^2 - 4*a*c)*a^9*b*c^5)*d*e^10
- (6*a^7*b^8*c^2 - 80*a^8*b^6*c^3 + 352*a^9*b^4*c^4 - 512*a^10*b^2*c^5 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^7*b^8 + 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^6*c + 6*s
qrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^7*c - 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^9*b^4*c^2 - 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^5*c^2 -
3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*b^6*c^2 + 256*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c + sqrt(b^2 - 4*a*c)*c)*a^10*b^2*c^3 + 128*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b^3
*c^3 + 28*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^8*b^4*c^3 - 64*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^9*b^2*c^4 - 6*(b^2 - 4*a*c)*a^7*b^6*c^2 + 56*(b^2 - 4*a*c)*a^8*b^4*c^3 - 12
8*(b^2 - 4*a*c)*a^9*b^2*c^4)*e^11 + 2*(sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c^4 - 14*sqrt(2)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^5 - 2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^5*c^5 - 2*a*b^6*c^5 + 64*s
qrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^6 + 20*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^6 +
sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^6 + 28*a^2*b^4*c^6 - 96*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a^4*c^7 - 48*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^7 - 10*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*
a^2*b^2*c^7 - 128*a^3*b^2*c^7 + 24*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^8 + 192*a^4*c^8 + 2*(b^2 - 4*
a*c)*a*b^4*c^5 - 20*(b^2 - 4*a*c)*a^2*b^2*c^6 + 48*(b^2 - 4*a*c)*a^3*c^7)*d^7*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^
4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*
d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) - 2*(4*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^7*c^3
- 55*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^4 - 8*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c^4
- 8*a*b^7*c^4 + 248*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^5 + 78*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*
a*c)*c)*a^2*b^4*c^5 + 4*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^5*c^5 + 110*a^2*b^5*c^5 - 368*sqrt(2)*sqrt
(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^6 - 184*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^6 - 39*sqrt(2)*s
qrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^6 - 496*a^3*b^3*c^6 + 92*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*
b*c^7 + 736*a^4*b*c^7 + 8*(b^2 - 4*a*c)*a*b^5*c^4 - 78*(b^2 - 4*a*c)*a^2*b^3*c^5 + 184*(b^2 - 4*a*c)*a^3*b*c^6
)*d^6*e*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*
d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + 4*(3*sqrt(2)*sq
rt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^8*c^2 - 38*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^3 - 6*sqrt(2)*s
qrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^7*c^3 - 6*a*b^8*c^3 + 147*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c
^4 + 52*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^4 + 3*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*
c^4 + 76*a^2*b^6*c^4 - 120*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^5 - 86*sqrt(2)*sqrt(b*c + sqrt(b^
2 - 4*a*c)*c)*a^3*b^3*c^5 - 26*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^5 - 294*a^3*b^4*c^5 - 208*sqr
t(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*c^6 - 104*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^6 + 43*sqrt
(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^6 + 240*a^4*b^2*c^6 + 52*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)
*a^4*c^7 + 416*a^5*c^7 + 6*(b^2 - 4*a*c)*a*b^6*c^3 - 52*(b^2 - 4*a*c)*a^2*b^4*c^4 + 86*(b^2 - 4*a*c)*a^3*b^2*c
^5 + 104*(b^2 - 4*a*c)*a^4*c^6)*d^5*e^2*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*
e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4
- 4*a^4*c*e^4) - 2*(4*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^9*c - 38*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c
)*c)*a^2*b^7*c^2 - 8*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^8*c^2 - 8*a*b^9*c^2 + 37*sqrt(2)*sqrt(b*c + s
qrt(b^2 - 4*a*c)*c)*a^3*b^5*c^3 + 44*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^3 + 4*sqrt(2)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a*b^7*c^3 + 76*a^2*b^7*c^3 + 504*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^4 +
102*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^4 - 22*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c
^4 - 74*a^3*b^5*c^4 - 1200*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b*c^5 - 600*sqrt(2)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^4*b^2*c^5 - 51*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^5 - 1008*a^4*b^3*c^5 + 300*sqr
t(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^6 + 2400*a^5*b*c^6 + 8*(b^2 - 4*a*c)*a*b^7*c^2 - 44*(b^2 - 4*a*c)
*a^2*b^5*c^3 - 102*(b^2 - 4*a*c)*a^3*b^3*c^4 + 600*(b^2 - 4*a*c)*a^4*b*c^5)*d^4*e^3*abs(a*b^2*c^2*d^4 - 4*a^2*
c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^
2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + 2*(sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^10
+ 2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c - 2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^9*c - 2
*a*b^10*c - 129*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^2 - 12*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*
c)*a^2*b^7*c^2 + sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^8*c^2 - 4*a^2*b^8*c^2 + 646*sqrt(2)*sqrt(b*c + sq
rt(b^2 - 4*a*c)*c)*a^4*b^4*c^3 + 210*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^3 + 6*sqrt(2)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^3 + 258*a^3*b^6*c^3 - 768*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4
- 452*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^4 - 105*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b
^4*c^4 - 1292*a^4*b^4*c^4 - 544*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*c^5 - 272*sqrt(2)*sqrt(b*c + sqrt(
b^2 - 4*a*c)*c)*a^5*b*c^5 + 226*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^5 + 1536*a^5*b^2*c^5 + 136*s
qrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*c^6 + 1088*a^6*c^6 + 2*(b^2 - 4*a*c)*a*b^8*c + 12*(b^2 - 4*a*c)*a^2
*b^6*c^2 - 210*(b^2 - 4*a*c)*a^3*b^4*c^3 + 452*(b^2 - 4*a*c)*a^4*b^2*c^4 + 272*(b^2 - 4*a*c)*a^5*c^5)*d^3*e^4*
abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2
- 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) - 2*(5*sqrt(2)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^2*b^9 - 49*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c - 10*sqrt(2)*sqrt(b*c + s
qrt(b^2 - 4*a*c)*c)*a^2*b^8*c - 10*a^2*b^9*c + 87*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^2 + 58*sqr
t(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^2 + 5*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^2 + 98*
a^3*b^7*c^2 + 376*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^3 + 58*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c
)*c)*a^4*b^4*c^3 - 29*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^3 - 174*a^4*b^5*c^3 - 1040*sqrt(2)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b*c^4 - 520*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4 - 29*sqrt(2)*
sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^4 - 752*a^5*b^3*c^4 + 260*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^
5*b*c^5 + 2080*a^6*b*c^5 + 10*(b^2 - 4*a*c)*a^2*b^7*c - 58*(b^2 - 4*a*c)*a^3*b^5*c^2 - 58*(b^2 - 4*a*c)*a^4*b^
3*c^3 + 520*(b^2 - 4*a*c)*a^5*b*c^4)*d^2*e^5*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2
*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2
*e^4 - 4*a^4*c*e^4) + 14*(sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^8 - 12*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a^4*b^6*c - 2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c - 2*a^3*b^8*c + 46*sqrt(2)*sqrt(b*c +
sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^2 + 16*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^2 + sqrt(2)*sqrt(b*c
+ sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^2 + 24*a^4*b^6*c^2 - 48*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^3 -
28*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^3 - 8*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^
3 - 92*a^5*b^4*c^3 - 32*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^7*c^4 - 16*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a
*c)*c)*a^6*b*c^4 + 14*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4 + 96*a^6*b^2*c^4 + 8*sqrt(2)*sqrt(b*
c + sqrt(b^2 - 4*a*c)*c)*a^6*c^5 + 64*a^7*c^5 + 2*(b^2 - 4*a*c)*a^3*b^6*c - 16*(b^2 - 4*a*c)*a^4*b^4*c^2 + 28*
(b^2 - 4*a*c)*a^5*b^2*c^3 + 16*(b^2 - 4*a*c)*a^6*c^4)*d*e^6*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*
e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*
d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) - 2*(3*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^7 - 37*sqrt(2)*sqrt(b*
c + sqrt(b^2 - 4*a*c)*c)*a^5*b^5*c - 6*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c - 6*a^4*b^7*c + 152*s
qrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^2 + 50*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^2 +
3*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^2 + 74*a^5*b^5*c^2 - 208*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a
*c)*c)*a^7*b*c^3 - 104*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^3 - 25*sqrt(2)*sqrt(b*c + sqrt(b^2 -
4*a*c)*c)*a^5*b^3*c^3 - 304*a^6*b^3*c^3 + 52*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^6*b*c^4 + 416*a^7*b*c^4
+ 6*(b^2 - 4*a*c)*a^4*b^5*c - 50*(b^2 - 4*a*c)*a^5*b^3*c^2 + 104*(b^2 - 4*a*c)*a^6*b*c^3)*e^7*abs(a*b^2*c^2*d
^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2
*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b
^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8
*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)^2*(2*b^3*c^4 - 8*a*b*c^5 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sq
rt(b^2 - 4*a*c)*c)*b^3*c^2 + 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^3 + 2*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^2*c^3 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a
*c)*c)*b*c^4 - 2*(b^2 - 4*a*c)*b*c^4)*d^3 - 2*(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d
^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e
^4 - 4*a^4*c*e^4)^2*(2*b^4*c^3 - 10*a*b^2*c^4 + 8*a^2*c^5 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*
a*c)*c)*b^4*c + 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 + 2*sqrt(2)*sqrt(b^2 - 4
*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^3*c^2 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^
2*c^3 - 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^3 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c + sqrt(b^2 - 4*a*c)*c)*b^2*c^3 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*c^4 - 2*(b^2 -
4*a*c)*b^2*c^3 + 2*(b^2 - 4*a*c)*a*c^4)*d^2*e + (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^
2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^
2*e^4 - 4*a^4*c*e^4)^2*(2*b^5*c^2 - 10*a*b^3*c^3 + 8*a^2*b*c^4 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*b^5 + 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c + 2*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^4*c - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2
*b*c^2 - 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*b^3*c^2 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^3 - 2*(
b^2 - 4*a*c)*b^3*c^2 + 2*(b^2 - 4*a*c)*a*b*c^3)*d*e^2 - (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a
^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 +
a^3*b^2*e^4 - 4*a^4*c*e^4)^2*(6*a*b^4*c^2 - 44*a^2*b^2*c^3 + 80*a^3*c^4 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*
c + sqrt(b^2 - 4*a*c)*c)*a*b^4 + 22*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c + 6*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c - 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt
(b^2 - 4*a*c)*c)*a^3*c^2 - 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b*c^2 - 3*sqrt(2)*
sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 + 10*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^2*c^3 - 6*(b^2 - 4*a*c)*a*b^2*c^2 + 20*(b^2 - 4*a*c)*a^2*c^3)*e^3)*arctan(2*sqrt(1/2)*x/sqrt((a
*b^3*c^2*d^4 - 4*a^2*b*c^3*d^4 - 2*a*b^4*c*d^3*e + 8*a^2*b^2*c^2*d^3*e + a*b^5*d^2*e^2 - 2*a^2*b^3*c*d^2*e^2 -
8*a^3*b*c^2*d^2*e^2 - 2*a^2*b^4*d*e^3 + 8*a^3*b^2*c*d*e^3 + a^3*b^3*e^4 - 4*a^4*b*c*e^4 + sqrt((a*b^3*c^2*d^4
- 4*a^2*b*c^3*d^4 - 2*a*b^4*c*d^3*e + 8*a^2*b^2*c^2*d^3*e + a*b^5*d^2*e^2 - 2*a^2*b^3*c*d^2*e^2 - 8*a^3*b*c^2
*d^2*e^2 - 2*a^2*b^4*d*e^3 + 8*a^3*b^2*c*d*e^3 + a^3*b^3*e^4 - 4*a^4*b*c*e^4)^2 - 4*(a^2*b^2*c^2*d^4 - 4*a^3*c
^3*d^4 - 2*a^2*b^3*c*d^3*e + 8*a^3*b*c^2*d^3*e + a^2*b^4*d^2*e^2 - 2*a^3*b^2*c*d^2*e^2 - 8*a^4*c^2*d^2*e^2 - 2
*a^3*b^3*d*e^3 + 8*a^4*b*c*d*e^3 + a^4*b^2*e^4 - 4*a^5*c*e^4)*(a*b^2*c^3*d^4 - 4*a^2*c^4*d^4 - 2*a*b^3*c^2*d^3
*e + 8*a^2*b*c^3*d^3*e + a*b^4*c*d^2*e^2 - 2*a^2*b^2*c^2*d^2*e^2 - 8*a^3*c^3*d^2*e^2 - 2*a^2*b^3*c*d*e^3 + 8*a
^3*b*c^2*d*e^3 + a^3*b^2*c*e^4 - 4*a^4*c^2*e^4)))/(a*b^2*c^3*d^4 - 4*a^2*c^4*d^4 - 2*a*b^3*c^2*d^3*e + 8*a^2*b
*c^3*d^3*e + a*b^4*c*d^2*e^2 - 2*a^2*b^2*c^2*d^2*e^2 - 8*a^3*c^3*d^2*e^2 - 2*a^2*b^3*c*d*e^3 + 8*a^3*b*c^2*d*e
^3 + a^3*b^2*c*e^4 - 4*a^4*c^2*e^4)))/((a^3*b^6*c^4 - 12*a^4*b^4*c^5 - 2*a^3*b^5*c^5 + 48*a^5*b^2*c^6 + 16*a^4
*b^3*c^6 + a^3*b^4*c^6 - 64*a^6*c^7 - 32*a^5*b*c^7 - 8*a^4*b^2*c^7 + 16*a^5*c^8)*d^8*abs(a*b^2*c^2*d^4 - 4*a^2
*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a
^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^3*b^7*c^3 - 12*a^4*b^5*c^4 - 2*a^3*b
^6*c^4 + 48*a^5*b^3*c^5 + 16*a^4*b^4*c^5 + a^3*b^5*c^5 - 64*a^6*b*c^6 - 32*a^5*b^2*c^6 - 8*a^4*b^3*c^6 + 16*a^
5*b*c^7)*d^7*e*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2
*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + 2
*(3*a^3*b^8*c^2 - 34*a^4*b^6*c^3 - 6*a^3*b^7*c^3 + 120*a^5*b^4*c^4 + 44*a^4*b^5*c^4 + 3*a^3*b^6*c^4 - 96*a^6*b
^2*c^5 - 64*a^5*b^3*c^5 - 22*a^4*b^4*c^5 - 128*a^7*c^6 - 64*a^6*b*c^6 + 32*a^5*b^2*c^6 + 32*a^6*c^7)*d^6*e^2*a
bs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 -
8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^3*b^9*c - 9*
a^4*b^7*c^2 - 2*a^3*b^8*c^2 + 12*a^5*b^5*c^3 + 10*a^4*b^6*c^3 + a^3*b^7*c^3 + 80*a^6*b^3*c^4 + 16*a^5*b^4*c^4
- 5*a^4*b^5*c^4 - 192*a^7*b*c^5 - 96*a^6*b^2*c^5 - 8*a^5*b^3*c^5 + 48*a^6*b*c^6)*d^5*e^3*abs(a*b^2*c^2*d^4 - 4
*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 -
2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + (a^3*b^10 - 2*a^3*b^9*c - 90*a^5*b^6*
c^2 - 8*a^4*b^7*c^2 + a^3*b^8*c^2 + 440*a^6*b^4*c^3 + 148*a^5*b^5*c^3 + 4*a^4*b^6*c^3 - 480*a^7*b^2*c^4 - 288*
a^6*b^3*c^4 - 74*a^5*b^4*c^4 - 384*a^8*c^5 - 192*a^7*b*c^5 + 144*a^6*b^2*c^5 + 96*a^7*c^6)*d^4*e^4*abs(a*b^2*c
^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2
*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^4*b^9 - 9*a^5*b^7*c -
2*a^4*b^8*c + 12*a^6*b^5*c^2 + 10*a^5*b^6*c^2 + a^4*b^7*c^2 + 80*a^7*b^3*c^3 + 16*a^6*b^4*c^3 - 5*a^5*b^5*c^3
- 192*a^8*b*c^4 - 96*a^7*b^2*c^4 - 8*a^6*b^3*c^4 + 48*a^7*b*c^5)*d^3*e^5*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2
*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3
+ 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + 2*(3*a^5*b^8 - 34*a^6*b^6*c - 6*a^5*b^7*c + 120*a^7*b
^4*c^2 + 44*a^6*b^5*c^2 + 3*a^5*b^6*c^2 - 96*a^8*b^2*c^3 - 64*a^7*b^3*c^3 - 22*a^6*b^4*c^3 - 128*a^9*c^4 - 64*
a^8*b*c^4 + 32*a^7*b^2*c^4 + 32*a^8*c^5)*d^2*e^6*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b
*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3
*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^6*b^7 - 12*a^7*b^5*c - 2*a^6*b^6*c + 48*a^8*b^3*c^2 + 16*a^7*b^4*c^2 + a
^6*b^5*c^2 - 64*a^9*b*c^3 - 32*a^8*b^2*c^3 - 8*a^7*b^3*c^3 + 16*a^8*b*c^4)*d*e^7*abs(a*b^2*c^2*d^4 - 4*a^2*c^3
*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b
^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + (a^7*b^6 - 12*a^8*b^4*c - 2*a^7*b^5*c + 48*a^
9*b^2*c^2 + 16*a^8*b^3*c^2 + a^7*b^4*c^2 - 64*a^10*c^3 - 32*a^9*b*c^3 - 8*a^8*b^2*c^3 + 16*a^9*c^4)*e^8*abs(a*
b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^
3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c)) + 1/16*((2*a^2*b^7*c^8
- 40*a^3*b^5*c^9 + 224*a^4*b^3*c^10 - 384*a^5*b*c^11 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*
c)*a^2*b^7*c^6 + 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^7 + 2*sqrt(2)*sqrt(b^2
- 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^7 - 112*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^4*b^3*c^8 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^8 - sqrt(2)*sqrt(
b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^8 + 192*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^5*b*c^9 + 96*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^9 + 16*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^9 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^
2 - 4*a*c)*c)*a^4*b*c^10 - 2*(b^2 - 4*a*c)*a^2*b^5*c^8 + 32*(b^2 - 4*a*c)*a^3*b^3*c^9 - 96*(b^2 - 4*a*c)*a^4*b
*c^10)*d^11 - 2*(6*a^2*b^8*c^7 - 116*a^3*b^6*c^8 + 640*a^4*b^4*c^9 - 1088*a^5*b^2*c^10 - 3*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 + 58*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^3*b^6*c^6 + 6*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^6 - 320*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^7 - 92*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4
*a*c)*c)*a^3*b^5*c^7 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^7 + 544*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^8 + 272*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^4*b^3*c^8 + 46*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^8 - 136*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^9 - 6*(b^2 - 4*a*c)*a^2*b^6*c^7 + 92*(b^2 -
4*a*c)*a^3*b^4*c^8 - 272*(b^2 - 4*a*c)*a^4*b^2*c^9)*d^10*e + (30*a^2*b^9*c^6 - 542*a^3*b^7*c^7 + 2744*a^4*b^5*
c^8 - 3616*a^5*b^3*c^9 - 2432*a^6*b*c^10 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^
9*c^4 + 271*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c^5 + 30*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 - 1372*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c
)*a^4*b^5*c^6 - 422*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^6 - 15*sqrt(2)*sqrt(b^
2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^6 + 1808*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^5*b^3*c^7 + 1056*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^7 + 211*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^7 + 1216*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - s
qrt(b^2 - 4*a*c)*c)*a^6*b*c^8 + 608*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^8 - 52
8*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^8 - 304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c - sqrt(b^2 - 4*a*c)*c)*a^5*b*c^9 - 30*(b^2 - 4*a*c)*a^2*b^7*c^6 + 422*(b^2 - 4*a*c)*a^3*b^5*c^7 - 1056*(b^2
- 4*a*c)*a^4*b^3*c^8 - 608*(b^2 - 4*a*c)*a^5*b*c^9)*d^9*e^2 - (40*a^2*b^10*c^5 - 634*a^3*b^8*c^6 + 2448*a^4*b
^6*c^7 + 608*a^5*b^4*c^8 - 11264*a^6*b^2*c^9 - 20*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^
2*b^10*c^3 + 317*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^8*c^4 + 40*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^9*c^4 - 1224*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^4*b^6*c^5 - 474*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c^5 - 20*sqrt(2)*sq
rt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c^5 - 304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^
2 - 4*a*c)*c)*a^5*b^4*c^6 + 552*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^6 + 237*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^6 + 5632*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 + 2816*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^
7 - 276*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^7 - 1408*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^8 - 40*(b^2 - 4*a*c)*a^2*b^8*c^5 + 474*(b^2 - 4*a*c)*a^3*b^6*c^6 -
552*(b^2 - 4*a*c)*a^4*b^4*c^7 - 2816*(b^2 - 4*a*c)*a^5*b^2*c^8)*d^8*e^3 + (30*a^2*b^11*c^4 - 356*a^3*b^9*c^5 +
164*a^4*b^7*c^6 + 7728*a^5*b^5*c^7 - 16960*a^6*b^3*c^8 - 5888*a^7*b*c^9 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^11*c^2 + 178*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^9
*c^3 + 30*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^10*c^3 - 82*sqrt(2)*sqrt(b^2 - 4*a*c
)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^7*c^4 - 236*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
a^3*b^8*c^4 - 15*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^9*c^4 - 3864*sqrt(2)*sqrt(b^2
- 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^5*c^5 - 780*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^4*b^6*c^5 + 118*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c^5 + 8480*sqrt(2)
*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^6 + 4608*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqr
t(b^2 - 4*a*c)*c)*a^5*b^4*c^6 + 390*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^6 + 29
44*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b*c^7 + 1472*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 - 2304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^3
*c^7 - 736*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b*c^8 - 30*(b^2 - 4*a*c)*a^2*b^9*c^4
+ 236*(b^2 - 4*a*c)*a^3*b^7*c^5 + 780*(b^2 - 4*a*c)*a^4*b^5*c^6 - 4608*(b^2 - 4*a*c)*a^5*b^3*c^7 - 1472*(b^2 -
4*a*c)*a^6*b*c^8)*d^7*e^4 - 2*(6*a^2*b^12*c^3 - 22*a^3*b^10*c^4 - 608*a^4*b^8*c^5 + 3720*a^5*b^6*c^6 - 2624*a
^6*b^4*c^7 - 10624*a^7*b^2*c^8 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^12*c + 11*s
qrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^10*c^2 + 6*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c -
sqrt(b^2 - 4*a*c)*c)*a^2*b^11*c^2 + 304*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^8*c^3
+ 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^9*c^3 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^10*c^3 - 1860*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b
^6*c^4 - 600*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^7*c^4 - sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^8*c^4 + 1312*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
a^6*b^4*c^5 + 1320*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^5*c^5 + 300*sqrt(2)*sqrt(b^
2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c^5 + 5312*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^7*b^2*c^6 + 2656*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^6 - 660*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^6 - 1328*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - s
qrt(b^2 - 4*a*c)*c)*a^6*b^2*c^7 - 6*(b^2 - 4*a*c)*a^2*b^10*c^3 - 2*(b^2 - 4*a*c)*a^3*b^8*c^4 + 600*(b^2 - 4*a*
c)*a^4*b^6*c^5 - 1320*(b^2 - 4*a*c)*a^5*b^4*c^6 - 2656*(b^2 - 4*a*c)*a^6*b^2*c^7)*d^6*e^5 + (2*a^2*b^13*c^2 +
42*a^3*b^11*c^3 - 704*a^4*b^9*c^4 + 1396*a^5*b^7*c^5 + 8880*a^6*b^5*c^6 - 23872*a^7*b^3*c^7 - 6912*a^8*b*c^8 -
sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^13 - 21*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c -
sqrt(b^2 - 4*a*c)*c)*a^3*b^11*c + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^12*c + 352
*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^9*c^2 + 50*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^3*b^10*c^2 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^11*c^2
- 698*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 - 504*sqrt(2)*sqrt(b^2 - 4*a*c)*sq
rt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^8*c^3 - 25*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b
^9*c^3 - 4440*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c^4 - 620*sqrt(2)*sqrt(b^2 - 4
*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^6*c^4 + 252*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^4*b^7*c^4 + 11936*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^3*c^5 + 6400*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^4*c^5 + 310*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^5*b^5*c^5 + 3456*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b*c^6 + 1728*s
qrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^2*c^6 - 3200*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^6*b^3*c^6 - 864*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b*c^7
- 2*(b^2 - 4*a*c)*a^2*b^11*c^2 - 50*(b^2 - 4*a*c)*a^3*b^9*c^3 + 504*(b^2 - 4*a*c)*a^4*b^7*c^4 + 620*(b^2 - 4*a
*c)*a^5*b^5*c^5 - 6400*(b^2 - 4*a*c)*a^6*b^3*c^6 - 1728*(b^2 - 4*a*c)*a^7*b*c^7)*d^5*e^6 - (14*a^3*b^12*c^2 -
48*a^4*b^10*c^3 - 1148*a^5*b^8*c^4 + 6784*a^6*b^6*c^5 - 4800*a^7*b^4*c^6 - 17920*a^8*b^2*c^7 - 7*sqrt(2)*sqrt(
b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^12 + 24*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^4*b^10*c + 14*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^11*c + 574*sqrt(2)*sqrt
(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^8*c^2 + 8*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^4*b^9*c^2 - 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^10*c^2 - 3392*sqrt(2
)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^6*c^3 - 1116*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sq
rt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^8*c^3 + 240
0*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^4*c^4 + 2320*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c^4 + 558*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^6
*c^4 + 8960*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^2*c^5 + 4480*sqrt(2)*sqrt(b^2 - 4*
a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^3*c^5 - 1160*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^6*b^4*c^5 - 2240*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^2*c^6 - 14*(b^2 - 4*a*c
)*a^3*b^10*c^2 - 8*(b^2 - 4*a*c)*a^4*b^8*c^3 + 1116*(b^2 - 4*a*c)*a^5*b^6*c^4 - 2320*(b^2 - 4*a*c)*a^6*b^4*c^5
- 4480*(b^2 - 4*a*c)*a^7*b^2*c^6)*d^4*e^7 + (36*a^4*b^11*c^2 - 356*a^5*b^9*c^3 + 218*a^6*b^7*c^4 + 5880*a^7*b
^5*c^5 - 12448*a^8*b^3*c^6 - 3968*a^9*b*c^7 - 18*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4
*b^11 + 178*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^9*c + 36*sqrt(2)*sqrt(b^2 - 4*a*c)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^10*c - 109*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^
6*b^7*c^2 - 212*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^8*c^2 - 18*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^9*c^2 - 2940*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*
c)*c)*a^7*b^5*c^3 - 630*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^6*c^3 + 106*sqrt(2)*sq
rt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^7*c^3 + 6224*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^8*b^3*c^4 + 3360*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^4*c^4 + 315*
sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^5*c^4 + 1984*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*
c - sqrt(b^2 - 4*a*c)*c)*a^9*b*c^5 + 992*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^2*c^5
- 1680*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^3*c^5 - 496*sqrt(2)*sqrt(b^2 - 4*a*c)*
sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b*c^6 - 36*(b^2 - 4*a*c)*a^4*b^9*c^2 + 212*(b^2 - 4*a*c)*a^5*b^7*c^3 + 630
*(b^2 - 4*a*c)*a^6*b^5*c^4 - 3360*(b^2 - 4*a*c)*a^7*b^3*c^5 - 992*(b^2 - 4*a*c)*a^8*b*c^6)*d^3*e^8 - 2*(22*a^5
*b^10*c^2 - 270*a^6*b^8*c^3 + 908*a^7*b^6*c^4 + 64*a^8*b^4*c^5 - 3136*a^9*b^2*c^6 - 11*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^10 + 135*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^
6*b^8*c + 22*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^9*c - 454*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^6*c^2 - 182*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)
*a^6*b^7*c^2 - 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^8*c^2 - 32*sqrt(2)*sqrt(b^2
- 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^4*c^3 + 180*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^7*b^5*c^3 + 91*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^6*c^3 + 1568*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^9*b^2*c^4 + 784*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^8*b^3*c^4 - 90*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^4*c^4 - 392*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^2*c^5 - 22*(b^2 - 4*a*c)*a^5*b^8*c^2 + 182*(b^2
- 4*a*c)*a^6*b^6*c^3 - 180*(b^2 - 4*a*c)*a^7*b^4*c^4 - 784*(b^2 - 4*a*c)*a^8*b^2*c^5)*d^2*e^9 + (26*a^6*b^9*c^
2 - 342*a^7*b^7*c^3 + 1432*a^8*b^5*c^4 - 1696*a^9*b^3*c^5 - 896*a^10*b*c^6 - 13*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt
(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^9 + 171*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^7*c
+ 26*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^8*c - 716*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^5*c^2 - 238*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^6
*c^2 - 13*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^7*c^2 + 848*sqrt(2)*sqrt(b^2 - 4*a*c
)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^9*b^3*c^3 + 480*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
a^8*b^4*c^3 + 119*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^5*c^3 + 448*sqrt(2)*sqrt(b^2
- 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^10*b*c^4 + 224*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^9*b^2*c^4 - 240*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^3*c^4 - 112*sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^9*b*c^5 - 26*(b^2 - 4*a*c)*a^6*b^7*c^2 + 238*(b^2 - 4*a*c)*
a^7*b^5*c^3 - 480*(b^2 - 4*a*c)*a^8*b^3*c^4 - 224*(b^2 - 4*a*c)*a^9*b*c^5)*d*e^10 - (6*a^7*b^8*c^2 - 80*a^8*b^
6*c^3 + 352*a^9*b^4*c^4 - 512*a^10*b^2*c^5 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b
^8 + 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^6*c + 6*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt
(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^7*c - 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^9*b^4*
c^2 - 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^5*c^2 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*s
qrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b^6*c^2 + 256*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^1
0*b^2*c^3 + 128*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^9*b^3*c^3 + 28*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^8*b^4*c^3 - 64*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^9*b^2*c^4 - 6*(b^2 - 4*a*c)*a^7*b^6*c^2 + 56*(b^2 - 4*a*c)*a^8*b^4*c^3 - 128*(b^2 - 4*a*c)*a^9*b^2*c^4)*
e^11 + 2*(sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c^4 - 14*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b
^4*c^5 - 2*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^5*c^5 + 2*a*b^6*c^5 + 64*sqrt(2)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^3*b^2*c^6 + 20*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^6 + sqrt(2)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a*b^4*c^6 - 28*a^2*b^4*c^6 - 96*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*c^7 - 48*sqrt(2)*sqrt(b
*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^7 - 10*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^7 + 128*a^3*b^2*c^7
+ 24*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^8 - 192*a^4*c^8 - 2*(b^2 - 4*a*c)*a*b^4*c^5 + 20*(b^2 - 4*
a*c)*a^2*b^2*c^6 - 48*(b^2 - 4*a*c)*a^3*c^7)*d^7*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b
*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3
*b^2*e^4 - 4*a^4*c*e^4) - 2*(4*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^7*c^3 - 55*sqrt(2)*sqrt(b*c - sqrt(
b^2 - 4*a*c)*c)*a^2*b^5*c^4 - 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c^4 + 8*a*b^7*c^4 + 248*sqrt(2)*
sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^5 + 78*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^5 + 4*sqrt(
2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^5*c^5 - 110*a^2*b^5*c^5 - 368*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a
^4*b*c^6 - 184*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^6 - 39*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c
)*a^2*b^3*c^6 + 496*a^3*b^3*c^6 + 92*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^7 - 736*a^4*b*c^7 - 8*(b^
2 - 4*a*c)*a*b^5*c^4 + 78*(b^2 - 4*a*c)*a^2*b^3*c^5 - 184*(b^2 - 4*a*c)*a^3*b*c^6)*d^6*e*abs(a*b^2*c^2*d^4 - 4
*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 -
2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + 4*(3*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)
*a*b^8*c^2 - 38*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^3 - 6*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c
)*a*b^7*c^3 + 6*a*b^8*c^3 + 147*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^4 + 52*sqrt(2)*sqrt(b*c - sq
rt(b^2 - 4*a*c)*c)*a^2*b^5*c^4 + 3*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c^4 - 76*a^2*b^6*c^4 - 120*sq
rt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^5 - 86*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^5 - 2
6*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^5 + 294*a^3*b^4*c^5 - 208*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^5*c^6 - 104*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b*c^6 + 43*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^3*b^2*c^6 - 240*a^4*b^2*c^6 + 52*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*c^7 - 416*a^5*c^7 - 6*(b
^2 - 4*a*c)*a*b^6*c^3 + 52*(b^2 - 4*a*c)*a^2*b^4*c^4 - 86*(b^2 - 4*a*c)*a^3*b^2*c^5 - 104*(b^2 - 4*a*c)*a^4*c^
6)*d^5*e^2*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2
*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) - 2*(4*sqrt(2)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^9*c - 38*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^2 - 8*sqrt(2)*
sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^8*c^2 + 8*a*b^9*c^2 + 37*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c
^3 + 44*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c^3 + 4*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^7*
c^3 - 76*a^2*b^7*c^3 + 504*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^3*c^4 + 102*sqrt(2)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^3*b^4*c^4 - 22*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^4 + 74*a^3*b^5*c^4 - 1200*sq
rt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b*c^5 - 600*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^5 - 51
*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^5 + 1008*a^4*b^3*c^5 + 300*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^4*b*c^6 - 2400*a^5*b*c^6 - 8*(b^2 - 4*a*c)*a*b^7*c^2 + 44*(b^2 - 4*a*c)*a^2*b^5*c^3 + 102*(b^2 - 4*a
*c)*a^3*b^3*c^4 - 600*(b^2 - 4*a*c)*a^4*b*c^5)*d^4*e^3*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8
*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3
+ a^3*b^2*e^4 - 4*a^4*c*e^4) + 2*(sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^10 + 2*sqrt(2)*sqrt(b*c - sqrt(
b^2 - 4*a*c)*c)*a^2*b^8*c - 2*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^9*c + 2*a*b^10*c - 129*sqrt(2)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^6*c^2 - 12*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^2 + sqrt(2)*sqrt
(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^8*c^2 + 4*a^2*b^8*c^2 + 646*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^
3 + 210*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^3 + 6*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^
6*c^3 - 258*a^3*b^6*c^3 - 768*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4 - 452*sqrt(2)*sqrt(b*c - sqr
t(b^2 - 4*a*c)*c)*a^4*b^3*c^4 - 105*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^4 + 1292*a^4*b^4*c^4 - 5
44*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*c^5 - 272*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b*c^5 + 2
26*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^5 - 1536*a^5*b^2*c^5 + 136*sqrt(2)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^5*c^6 - 1088*a^6*c^6 - 2*(b^2 - 4*a*c)*a*b^8*c - 12*(b^2 - 4*a*c)*a^2*b^6*c^2 + 210*(b^2 - 4*a*c)*
a^3*b^4*c^3 - 452*(b^2 - 4*a*c)*a^4*b^2*c^4 - 272*(b^2 - 4*a*c)*a^5*c^5)*d^3*e^4*abs(a*b^2*c^2*d^4 - 4*a^2*c^3
*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b
^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) - 2*(5*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^9
- 49*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c - 10*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^8*c
+ 10*a^2*b^9*c + 87*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^2 + 58*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^3*b^6*c^2 + 5*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^7*c^2 - 98*a^3*b^7*c^2 + 376*sqrt(2)*sqr
t(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^3 + 58*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^3 - 29*sqrt(2)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^5*c^3 + 174*a^4*b^5*c^3 - 1040*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
a^6*b*c^4 - 520*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4 - 29*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*
c)*a^4*b^3*c^4 + 752*a^5*b^3*c^4 + 260*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b*c^5 - 2080*a^6*b*c^5 - 10
*(b^2 - 4*a*c)*a^2*b^7*c + 58*(b^2 - 4*a*c)*a^3*b^5*c^2 + 58*(b^2 - 4*a*c)*a^4*b^3*c^3 - 520*(b^2 - 4*a*c)*a^5
*b*c^4)*d^2*e^5*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^
2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + 14*(sqr
t(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^8 - 12*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c - 2*sqrt(2
)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^7*c + 2*a^3*b^8*c + 46*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^4
*c^2 + 16*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^5*c^2 + sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^
6*c^2 - 24*a^4*b^6*c^2 - 48*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^3 - 28*sqrt(2)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^5*b^3*c^3 - 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^4*c^3 + 92*a^5*b^4*c^3 - 32*sqrt(
2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*c^4 - 16*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b*c^4 + 14*sqrt(2)
*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^2*c^4 - 96*a^6*b^2*c^4 + 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*
c^5 - 64*a^7*c^5 - 2*(b^2 - 4*a*c)*a^3*b^6*c + 16*(b^2 - 4*a*c)*a^4*b^4*c^2 - 28*(b^2 - 4*a*c)*a^5*b^2*c^3 - 1
6*(b^2 - 4*a*c)*a^6*c^4)*d*e^6*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4
*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c
*e^4) - 2*(3*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^7 - 37*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*
b^5*c - 6*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^6*c + 6*a^4*b^7*c + 152*sqrt(2)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a^6*b^3*c^2 + 50*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^4*c^2 + 3*sqrt(2)*sqrt(b*c - sqrt(b^2
- 4*a*c)*c)*a^4*b^5*c^2 - 74*a^5*b^5*c^2 - 208*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^7*b*c^3 - 104*sqrt(2
)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b^2*c^3 - 25*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^5*b^3*c^3 + 304*a
^6*b^3*c^3 + 52*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^6*b*c^4 - 416*a^7*b*c^4 - 6*(b^2 - 4*a*c)*a^4*b^5*c
+ 50*(b^2 - 4*a*c)*a^5*b^3*c^2 - 104*(b^2 - 4*a*c)*a^6*b*c^3)*e^7*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*
c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^
3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4) + (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*
e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4
- 4*a^4*c*e^4)^2*(2*b^3*c^4 - 8*a*b*c^5 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^3*c^2 +
4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b*c^3 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - s
qrt(b^2 - 4*a*c)*c)*b^2*c^3 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b*c^4 - 2*(b^2 - 4*a*c
)*b*c^4)*d^3 - 2*(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*
b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)^2*(2*b^4*c^
3 - 10*a*b^2*c^4 + 8*a^2*c^5 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^4*c + 5*sqrt(2)*sqr
t(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4
*a*c)*c)*b^3*c^2 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*c^3 - 2*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b*c^3 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^2
*c^3 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*c^4 - 2*(b^2 - 4*a*c)*b^2*c^3 + 2*(b^2 - 4*
a*c)*a*c^4)*d^2*e + (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a
^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)^2*(2*b^5
*c^2 - 10*a*b^3*c^3 + 8*a^2*b*c^4 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^5 + 5*sqrt(2)*
sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*b^4*c - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^2 - 2*sqrt(2)*sqrt(b^2 -
4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
b^3*c^2 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b*c^3 - 2*(b^2 - 4*a*c)*b^3*c^2 + 2*(b^2
- 4*a*c)*a*b*c^3)*d*e^2 - (a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^
2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)^2
*(6*a*b^4*c^2 - 44*a^2*b^2*c^3 + 80*a^3*c^4 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^
4 + 22*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c + 6*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c - 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^2 - 20
*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^2 - 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c -
sqrt(b^2 - 4*a*c)*c)*a*b^2*c^2 + 10*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*c^3 - 6*(b^2
- 4*a*c)*a*b^2*c^2 + 20*(b^2 - 4*a*c)*a^2*c^3)*e^3)*arctan(2*sqrt(1/2)*x/sqrt((a*b^3*c^2*d^4 - 4*a^2*b*c^3*d^
4 - 2*a*b^4*c*d^3*e + 8*a^2*b^2*c^2*d^3*e + a*b^5*d^2*e^2 - 2*a^2*b^3*c*d^2*e^2 - 8*a^3*b*c^2*d^2*e^2 - 2*a^2*
b^4*d*e^3 + 8*a^3*b^2*c*d*e^3 + a^3*b^3*e^4 - 4*a^4*b*c*e^4 - sqrt((a*b^3*c^2*d^4 - 4*a^2*b*c^3*d^4 - 2*a*b^4*
c*d^3*e + 8*a^2*b^2*c^2*d^3*e + a*b^5*d^2*e^2 - 2*a^2*b^3*c*d^2*e^2 - 8*a^3*b*c^2*d^2*e^2 - 2*a^2*b^4*d*e^3 +
8*a^3*b^2*c*d*e^3 + a^3*b^3*e^4 - 4*a^4*b*c*e^4)^2 - 4*(a^2*b^2*c^2*d^4 - 4*a^3*c^3*d^4 - 2*a^2*b^3*c*d^3*e +
8*a^3*b*c^2*d^3*e + a^2*b^4*d^2*e^2 - 2*a^3*b^2*c*d^2*e^2 - 8*a^4*c^2*d^2*e^2 - 2*a^3*b^3*d*e^3 + 8*a^4*b*c*d*
e^3 + a^4*b^2*e^4 - 4*a^5*c*e^4)*(a*b^2*c^3*d^4 - 4*a^2*c^4*d^4 - 2*a*b^3*c^2*d^3*e + 8*a^2*b*c^3*d^3*e + a*b^
4*c*d^2*e^2 - 2*a^2*b^2*c^2*d^2*e^2 - 8*a^3*c^3*d^2*e^2 - 2*a^2*b^3*c*d*e^3 + 8*a^3*b*c^2*d*e^3 + a^3*b^2*c*e^
4 - 4*a^4*c^2*e^4)))/(a*b^2*c^3*d^4 - 4*a^2*c^4*d^4 - 2*a*b^3*c^2*d^3*e + 8*a^2*b*c^3*d^3*e + a*b^4*c*d^2*e^2
- 2*a^2*b^2*c^2*d^2*e^2 - 8*a^3*c^3*d^2*e^2 - 2*a^2*b^3*c*d*e^3 + 8*a^3*b*c^2*d*e^3 + a^3*b^2*c*e^4 - 4*a^4*c^
2*e^4)))/((a^3*b^6*c^4 - 12*a^4*b^4*c^5 - 2*a^3*b^5*c^5 + 48*a^5*b^2*c^6 + 16*a^4*b^3*c^6 + a^3*b^4*c^6 - 64*a
^6*c^7 - 32*a^5*b*c^7 - 8*a^4*b^2*c^7 + 16*a^5*c^8)*d^8*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e +
8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^
3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^3*b^7*c^3 - 12*a^4*b^5*c^4 - 2*a^3*b^6*c^4 + 48*a^5*b^3*c^5 + 16*
a^4*b^4*c^5 + a^3*b^5*c^5 - 64*a^6*b*c^6 - 32*a^5*b^2*c^6 - 8*a^4*b^3*c^6 + 16*a^5*b*c^7)*d^7*e*abs(a*b^2*c^2*
d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^
2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + 2*(3*a^3*b^8*c^2 - 34*a^4*b^6*
c^3 - 6*a^3*b^7*c^3 + 120*a^5*b^4*c^4 + 44*a^4*b^5*c^4 + 3*a^3*b^6*c^4 - 96*a^6*b^2*c^5 - 64*a^5*b^3*c^5 - 22*
a^4*b^4*c^5 - 128*a^7*c^6 - 64*a^6*b*c^6 + 32*a^5*b^2*c^6 + 32*a^6*c^7)*d^6*e^2*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*
d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^
3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^3*b^9*c - 9*a^4*b^7*c^2 - 2*a^3*b^8*c^2 +
12*a^5*b^5*c^3 + 10*a^4*b^6*c^3 + a^3*b^7*c^3 + 80*a^6*b^3*c^4 + 16*a^5*b^4*c^4 - 5*a^4*b^5*c^4 - 192*a^7*b*c
^5 - 96*a^6*b^2*c^5 - 8*a^5*b^3*c^5 + 48*a^6*b*c^6)*d^5*e^3*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*
e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*
d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + (a^3*b^10 - 2*a^3*b^9*c - 90*a^5*b^6*c^2 - 8*a^4*b^7*c^2 + a^3*b^8
*c^2 + 440*a^6*b^4*c^3 + 148*a^5*b^5*c^3 + 4*a^4*b^6*c^3 - 480*a^7*b^2*c^4 - 288*a^6*b^3*c^4 - 74*a^5*b^4*c^4
- 384*a^8*c^5 - 192*a^7*b*c^5 + 144*a^6*b^2*c^5 + 96*a^7*c^6)*d^4*e^4*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*
b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 +
8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) - 4*(a^4*b^9 - 9*a^5*b^7*c - 2*a^4*b^8*c + 12*a^6*b^5*c^2
+ 10*a^5*b^6*c^2 + a^4*b^7*c^2 + 80*a^7*b^3*c^3 + 16*a^6*b^4*c^3 - 5*a^5*b^5*c^3 - 192*a^8*b*c^4 - 96*a^7*b^2*
c^4 - 8*a^6*b^3*c^4 + 48*a^7*b*c^5)*d^3*e^5*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*
d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*
e^4 - 4*a^4*c*e^4)*abs(c) + 2*(3*a^5*b^8 - 34*a^6*b^6*c - 6*a^5*b^7*c + 120*a^7*b^4*c^2 + 44*a^6*b^5*c^2 + 3*a
^5*b^6*c^2 - 96*a^8*b^2*c^3 - 64*a^7*b^3*c^3 - 22*a^6*b^4*c^3 - 128*a^9*c^4 - 64*a^8*b*c^4 + 32*a^7*b^2*c^4 +
32*a^8*c^5)*d^2*e^6*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 -
2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c
) - 4*(a^6*b^7 - 12*a^7*b^5*c - 2*a^6*b^6*c + 48*a^8*b^3*c^2 + 16*a^7*b^4*c^2 + a^6*b^5*c^2 - 64*a^9*b*c^3 - 3
2*a^8*b^2*c^3 - 8*a^7*b^3*c^3 + 16*a^8*b*c^4)*d*e^7*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 - 2*a*b^3*c*d^3*e + 8*a^
2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e^3 + 8*a^3*b*c*d*e^3 +
a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c) + (a^7*b^6 - 12*a^8*b^4*c - 2*a^7*b^5*c + 48*a^9*b^2*c^2 + 16*a^8*b^3*c^2 +
a^7*b^4*c^2 - 64*a^10*c^3 - 32*a^9*b*c^3 - 8*a^8*b^2*c^3 + 16*a^9*c^4)*e^8*abs(a*b^2*c^2*d^4 - 4*a^2*c^3*d^4 -
2*a*b^3*c*d^3*e + 8*a^2*b*c^2*d^3*e + a*b^4*d^2*e^2 - 2*a^2*b^2*c*d^2*e^2 - 8*a^3*c^2*d^2*e^2 - 2*a^2*b^3*d*e
^3 + 8*a^3*b*c*d*e^3 + a^3*b^2*e^4 - 4*a^4*c*e^4)*abs(c)) + 1/2*(b*c^2*d*x^3 - b^2*c*e*x^3 + 2*a*c^2*e*x^3 + b
^2*c*d*x - 2*a*c^2*d*x - b^3*e*x + 3*a*b*c*e*x)/((a*b^2*c*d^2 - 4*a^2*c^2*d^2 - a*b^3*d*e + 4*a^2*b*c*d*e + a^
2*b^2*e^2 - 4*a^3*c*e^2)*(c*x^4 + b*x^2 + a))

Mupad [B] (verification not implemented)

Time = 15.37 (sec) , antiderivative size = 237586, normalized size of antiderivative = 359.98 \[ \int \frac {1}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^2} \, dx=\text {Too large to display} \]

[In]

int(1/((d + e*x^2)*(a + b*x^2 + c*x^4)^2),x)

[Out]

- atan(((((((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 -
327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 -
917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 +
10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^1
3*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2
*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*
a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*
e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b
^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 256
0*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d
^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544
*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*
e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b
^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e
^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^1
0*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 +
3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*
c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 1
2205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c
^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8
028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c
^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 301
46560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*
c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 1
0977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^
5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13
- 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*
d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^
10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10
+ 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d
*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*
c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667
712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*
d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 -
256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 153
6*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^
5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2
- 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048
*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7
*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*
c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^
7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 9
2*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c
^3*d*e^7)) - (x*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c
^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^
7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*
d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^
4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2)
+ 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a
^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3
*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4
*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a
^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*
e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(
1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^
(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 103
0*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b
^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*
d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e
^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)
^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 12
0*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2
*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 -
4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840
*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8
- 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2
+ 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4
*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*
b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*
b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8
*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^
9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*
a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a
^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e
- 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^1
2*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e
^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7
)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 -
327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 -
5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^
11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d
^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b
^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^
3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e
^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^1
6*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160
*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*
d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*
a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^
2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*
a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8
*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^1
6*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4
- 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a
^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*
e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b
^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11
*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*
a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*
e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8
*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8
*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a
^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10
*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424
*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*
e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 72089
60*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*
c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^1
2 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*
a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8
*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^
13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 3123
20*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^
5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^
8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6
*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*
e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2
*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 19
2*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*
b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*
c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*
d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 102
4*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 -
384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6
*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^1
1*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^
3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^
3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(
1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c
^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(
-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^
3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*
e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4
*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d
^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2
*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c
*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^
12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7
*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 +
22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^
9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3
*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*
c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(
1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*
b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 2
4*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8
+ 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e
^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^
7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^
6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e
^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*
e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5
*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^
4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^
6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7
- 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^
5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e +
24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^
10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(626688*a^10*b*c^8*e^15 -
784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7
*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14
*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d
^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^
12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 1
6*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 -
36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*
e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3
*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3
*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 +
324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e
^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*
c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 8222
72*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e
^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b
^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1
162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^1
0*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*
a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*
e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*
c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8
*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e
^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3
+ 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^
8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^1
0*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*
e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c
^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^
4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e
^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*
a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^
6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^
4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^
3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*
a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 3
84*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d
^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*
c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*
b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*
e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/
2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2
*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(
4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*
e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^
4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e
^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2
*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d
^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d
^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12
*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d
^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22
400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)
^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c
*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c
- b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/
2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^
12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*
a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 +
240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4
- 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*
d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*
e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3
+ 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^
4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e
^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*
e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*
d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 -
4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*
d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24
576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10
*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d*e^13 - 24166
4*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*
e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 +
197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*
c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b
^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1
536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*
e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^
4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3
*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392
*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7
- 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^
3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*
b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 +
64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b
^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^
5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e
^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*
e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4
*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 +
256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8
+ 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*
a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6
*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^
7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*
d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*
e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5
- 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*
c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4
*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3
- 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^
6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c
*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 -
288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2
077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(
-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c
- b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 +
180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15
456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 3
7632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 -
41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2
*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4
- 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d
^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e -
3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^
6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2)
- 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5
*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)
^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 3
4*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8
+ 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^
10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^
9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a
^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^
6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 -
672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 145
6*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 22
40*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 3
2256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 -
21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^
5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*
b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e
+ 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^
8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c
^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*
c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 979
2*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7
*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^
11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e
^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d
^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 +
1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^
7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d
^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 25
6*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 +
96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^
3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a
^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*
c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^
4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^
4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 -
1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^
4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b
^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 -
384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6
- b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e
^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 28
8*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 207
7*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(
4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c -
b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 18
0*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 1545
6*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 376
32*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 4
1*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(
-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 -
128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3
*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3
492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*
b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) -
4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(
-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9
)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*
a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 +
4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10
*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*
b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4
*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6
+ 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 67
2*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*
a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240
*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 322
56*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21
504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5
- 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^
13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e +
84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*
b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4
*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*1i - (((((1048576*a^13*c^8*e^16 + 256*a^
7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4
*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*
d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12
*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 15411
2*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*
e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*
d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 140377
6*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e
^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^
13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4
686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^
6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a
^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^1
2*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664
*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e
^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^
2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e
^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*
b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 -
21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*
b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12
+ 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b
^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^1
2 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^
9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^
14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a
^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*
a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b
^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b
^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480
*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11
- 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 +
256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^
8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4
*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 +
6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b
^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3
*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4
*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5
- 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b
*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^
4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^
3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (x*((27*a*b^9*c^5*d^6 - b^11*c
^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b
^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e
^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2
) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*
e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4
*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e
^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4
- 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^
2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*
e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^
4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^
2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*
c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^
5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 224
00*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^
(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*
d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c -
b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2
) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^1
2*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a
^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 2
40*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4
- 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d
^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e
^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3
+ 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4
+ 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^
3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e
^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d
^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4
*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d
^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 245
76*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*
b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*
b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4
*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c
^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a
^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 1433
6*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^
8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d
^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*
a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10
- 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^
10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 +
490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*
d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680
*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8
*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280
*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e
^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 1970176
0*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*
d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600
*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^
13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 501
26848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6
*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a
^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*
d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 1447
9360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*
d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174
400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7
*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807
360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^
5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^1
5 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 409600
0*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c
^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262
144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^
6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^
11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 2070
9376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8
- 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2
*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e
^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*
c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*
e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 +
512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512
*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^
8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4
*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e
^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8
*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 +
3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a
^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*
c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7
*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d
^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^
2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3
*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*
b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^
5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)
^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5
*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^
2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5
824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5
*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d
^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^
9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*
b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-
(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^
(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^
6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 -
1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e
^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^
6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^
4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b
^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^
11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b
^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8
*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a
^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96
*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e
^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*
b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d
*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5
+ 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*
e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1
028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 13926
4*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^1
0*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304
*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^1
3*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^
8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2
*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 128
00*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^1
0*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^
7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3
*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6
+ 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7
*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752
*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e
^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^
9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 42
30144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10
*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 11786
24*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 -
4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a
*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*
c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b
*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*
a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2
977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 -
16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c
^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6
+ 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^
3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^
4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 5
12*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a
^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*
b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a
^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5
+ 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b
*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3
840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6
*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^
7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c
^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6
*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2
+ 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b
^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^
6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*
b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9
)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d
*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*
c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 582
4*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b
^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2
*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)
^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*
c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4
*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1
/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*
e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 12
80*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8
+ 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6
+ 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*
b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^1
2*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11
*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^1
0*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b
^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9
*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a
^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3
+ 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^
7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e
^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 +
24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1
264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7
*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d
^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496
*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*
b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c
^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2
*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*
a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7
+ 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d
^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b
^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 2368
00*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e
^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*
e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 +
3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b
^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b
*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5
*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*
a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7
*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8
+ 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 102
4*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*
e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 11
52*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6
*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6
*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^
4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^1
1*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 102
4*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d
^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^
5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d
^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6
- 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6
- 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*
a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*
b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5
*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*
d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^
5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2
) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(
-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*
(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*
b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8
*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 -
53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2)
+ 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*
e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c -
b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) -
108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 -
24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6
*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 384
0*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 1638
4*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c
^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*
d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d
^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*
d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3
*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c
^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^1
1*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*
a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*
d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5
120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576
*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*
b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9
+ 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^
5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b
^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3
*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a
*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*
d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 57
60*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^
4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b
^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 +
96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*
a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^
2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152
*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b
^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c
^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*
d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*
c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*
a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3
*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*
b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5
*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 -
3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 -
30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*
c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^
14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d
^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^
3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*
d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2)
- 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(
4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-
(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^
6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d
^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 5
3760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) +
11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^
5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b
^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 10
8*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24
*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b
^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*
a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*
a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3
*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^
4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3
*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^
2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d
^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4
*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*
c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^
4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^
7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 512
0*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a
^11*b^3*c^5*d*e^7)))^(1/2)*1i)/((2000*a^4*c^9*e^12 + 21*a^2*b^4*c^7*e^12 - 520*a^3*b^2*c^8*e^12 + 1296*a^2*c^1
1*d^4*e^8 + 4320*a^3*c^10*d^2*e^10 + 25*b^4*c^9*d^4*e^8 - 60*b^5*c^8*d^3*e^9 + 35*b^6*c^7*d^2*e^10 + 192*a^2*b
^2*c^9*d^2*e^10 - 112*a*b^5*c^7*d*e^11 - 4480*a^3*b*c^9*d*e^11 - 360*a*b^2*c^10*d^4*e^8 + 832*a*b^3*c^9*d^3*e^
9 - 362*a*b^4*c^8*d^2*e^10 - 2880*a^2*b*c^10*d^3*e^9 + 1440*a^2*b^3*c^8*d*e^11)/(8*(a^6*b^8*e^8 + 256*a^6*c^8*
d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^
4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3
*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^
2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^
3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 19
2*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^
6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b
^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 -
4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7
*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b
^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (((((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c
^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^1
6 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6
+ 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2
*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^
11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 46
08*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2
- 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^
10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 774
40*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*
e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a
^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^
9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*
c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 -
9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8
*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 16
8960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d
^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 274
75968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*
d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 2172518
4*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*
d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 211225
6*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*
d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683
456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^
9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 432
5376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*
c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c
^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*
d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*
d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9
*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 493568
0*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6
*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a
^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^1
1*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^
10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d
^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4
- 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 1
28*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*
a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e
^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^
5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*
a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) - (x*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 -
b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^
6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288
*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077
*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4
*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b
^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180
*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456
*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 3763
2*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41
*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-
(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 -
128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*
e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 34
92*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b
^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) -
4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-
(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)
^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a
*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 +
4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*
c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b
^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*
b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 +
6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672
*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a
^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*
a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 3225
6*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 215
04*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 -
21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^1
3*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 8
4*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b
^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*
d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2
*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^1
7 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10
*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*
d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^
14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048
*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3
- 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14
*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a
^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*
e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a
^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11
+ 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7
*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^
7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^1
4*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 327
6800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^
7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9
- 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^1
4*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 +
23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^
7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^1
1 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*
c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7
- 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8
*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14
- 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*
b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^1
2 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10
*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^
5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 1179
6480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b
^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e
^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*
b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 3097
6*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e
^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^1
3*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7
*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8
+ 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 102
4*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*
e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 11
52*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6
*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6
*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^
4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^1
1*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 102
4*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d
^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^
5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d
^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6
- 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6
- 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*
a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*
b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5
*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*
d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^
5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2
) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(
-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*
(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*
b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8
*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 -
53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2)
+ 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*
e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c -
b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) -
108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 -
24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6
*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 384
0*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 1638
4*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c
^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*
d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d
^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*
d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3
*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c
^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^1
1*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*
a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*
d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5
120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576
*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4
880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a
^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^
12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e
^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^
5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 -
18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^
9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^
5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b
^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 +
206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^
9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^
3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 11658
24*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^1
0 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2
*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 196
4192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^
2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^
6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^1
0 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b
^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b
^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^
6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*
e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^
10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^
11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a
^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b
^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 +
96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*
a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^
2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152
*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b
^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c
^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*
d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*
c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*
a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3
*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*
b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5
*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 -
3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 -
30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*
c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^
14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d
^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^
3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*
d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2)
- 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(
4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-
(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^
6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d
^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 5
3760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) +
11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^
5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b
^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 10
8*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24
*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b
^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*
a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*
a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3
*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^
4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3
*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^
2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d
^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4
*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*
c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^
4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^
7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 512
0*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a
^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*
b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7
*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 +
532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9
*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4
*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10
*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8
*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11
*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 14484
8*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11
- 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d
^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b
^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 48
8960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 19
68*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b
^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*
d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^
10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*
d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^
9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e
^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^
8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^
7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52
*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b
^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6
*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2
*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^
6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*
e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^
3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 +
1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*
d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 3
5840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a
^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240
*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^
2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e
^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2
- 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3
+ 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^
4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a
^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c
- b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c
- b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*
d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e +
1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a
^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*
b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4
*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)
^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*
b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b
^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7
*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b
^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c
^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e
^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4
- 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 +
17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6
- 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6
+ 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e
^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^
7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11
*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e -
140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*
b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^
3*c^5*d*e^7)))^(1/2) - (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*
e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512
*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 +
53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*
d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^1
0*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5
*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7
+ 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b
*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10
*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8
- 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*
b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*
d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a
^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4
*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d
^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e
^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6
- 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^
3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*
c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1
024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^
6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 358
40*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4
*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a
^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)
^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5
- 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 -
1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 +
16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4
- 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3
*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c -
b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c -
b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^
5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1
344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7
*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^
4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a
*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(
1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^
2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^1
0*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d
^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4
*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9
*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2
+ 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 -
6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 1
7920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 -
21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 +
57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6
+ 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7
- 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c
^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 14
0*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^
7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*
c^5*d*e^7)))^(1/2) + (((((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b
^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^1
5*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^
11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2
*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6
+ 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^
6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b
^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7
+ 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d
^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a
^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*
e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*
b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 -
1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^
6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 7
34080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^
3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 1200
1280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^
8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 6103
04*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^1
1*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182
336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d
^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 1642
9056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5
*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9
232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3
*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128
*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*
a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18
*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a
^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 168
9600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^
3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8
- 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*
b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*
d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a
^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4
*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d
^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e
^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6
- 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^
3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*
c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1
024*a^8*b^3*c^3*d*e^7)) + (x*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^
9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e +
35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840
*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 302
40*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c -
b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d
*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e
^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^
3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*
e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39
*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*
c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a
*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^
6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e
+ 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760
*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*
a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-
(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^
9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^
2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8
*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c
^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11
*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10
*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6
*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^
4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5
+ 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^
6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e
^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2
*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*
e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^
11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e
- 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^
9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*
b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b
^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^
15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^1
2*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a
^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6
- 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e
^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^
12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 +
18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15
*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*
a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*
e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5
*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^
5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5
*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 -
1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*
c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7
- 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*
b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 +
3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*
b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e
^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*
b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 -
31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^
8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^1
2 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*
b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^
10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9
*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7
*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170
880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^
3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^1
5 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872
*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4
- 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d
^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a
^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16
))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8
- 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 +
a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 102
4*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4
*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e
^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 -
2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048
*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*
c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^1
0*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3
072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*
c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(
1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e
+ 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*
c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e
^6 + 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 +
b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^
2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3
*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^
5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*
a^6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2
) + 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e
+ 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*
e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 1523
2*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c
^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(
4*a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
+ 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^
4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*
c - b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/
2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^1
2*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8
*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a
^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 +
16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^
5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*
b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7
*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^
8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a
^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 5734
4*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12
*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 9
60*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5
*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e
^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(626688*a^10
*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15
- 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 12
6976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 17735
68*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10
*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3
*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^
11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*
b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472
*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3
- 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c
^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b
^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 18
4320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d
^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b
^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 -
1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7
*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 367001
6*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e
^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7
*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13
- 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 4
80*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b
^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*
c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*
a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457
600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))
/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 -
16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^
2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*
a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d
^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3
+ 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 22
40*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a
^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*
d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*
c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 307
2*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^
5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/
2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e +
4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c
- b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6
+ 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^
6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*
b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b
^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*
b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^
6*b^3*c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
+ 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e +
7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^
2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*
a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8
*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*
a*c - b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) +
20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*
e^2*(-(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c
- b^2)^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
)/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*
c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b
^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3
*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16
384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*
b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^
9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b
^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*
b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9
*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*
a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b
*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960
*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c
^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3
- 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d
*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776
*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^
13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e
^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d
^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2
*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*
b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a
^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 -
36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5
*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*
c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a
^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10
+ 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^
8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*
e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*
a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*
b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^
4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a
^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a
^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^
3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12
*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^
5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2
- 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800
*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6
*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3
*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7
- 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*
e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*
b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6
- b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 2
13*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14
*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)
^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*
a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*
e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c
^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3
*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^
7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*
c^6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^
4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b
^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84
*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^
4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e
^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c -
b^2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^
2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-
(4*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)
^9)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*
(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^
8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9
*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*
d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^
12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c
^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*
d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4
*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^
6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c
^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b
^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d
*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b
^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7
*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 153
60*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(22800*a^6*c^9*e^13
+ 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*
d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120
*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^
10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*
b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*
a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c
^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e
^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128
*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6
*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*
b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d
^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*
d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 -
192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a
^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b
^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c
^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 -
1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^
4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*
c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 -
b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213
*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c
*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9
)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^
4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^
4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3
*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d
^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*
d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^
6*d^2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*
c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^1
3*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a
*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*
c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2
+ 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^
2)^9)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*
b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4
*a*c - b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9
)^(1/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a
^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8
- 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d
^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^
4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12
*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4
*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^
5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d
^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*
d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6
*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3
*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e
^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9
*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e
+ 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360
*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)))*((27*a*b^9*c^5*d^6 - b^11
*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 - 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3
*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3
*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 + 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1
/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 + 25*a^4*c^
2*e^6*(-(4*a*c - b^2)^9)^(1/2) + b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 + b^6*d^2*e^4*(-
(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3
*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e
^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*
e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^
2*e^4 - 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 6*b^4*c^2*
d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*
d^2*e^4 - 128*a^2*b^12*c*d*e^5 - 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^1
2*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*
d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 2
2400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 - 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9
)^(1/2) - 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) + 20*a^2*b^3*
c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 42*a*b^2*c^3*d^4*e^2*(-(4*a*c
- b^2)^9)^(1/2) + 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) + 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1
/2) + 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) - 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b
^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24
*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 +
240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^
4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7
*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6
*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^
3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e
^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*
e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4
*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6
*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 -
4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5
*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 2
4576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^1
0*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*2i - atan(((((((1048576*a^13*c^
8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 +
983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 5
89824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12
+ 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d
^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^
2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 2457
6*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^
11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3
*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 10
6496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^
10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732
096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^
4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a
^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9
*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5
*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 -
4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6
*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10
+ 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12
*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8
- 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^
8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 +
55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*
b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^1
0 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9
*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*
e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d
^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9
*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e
^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d
^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b
*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16
*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16
*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b
^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9
*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*
e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 +
800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*
a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*
b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e
^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d
^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a
^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) - (x*((27*a*b^9*c
^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1
/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e +
4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c
- b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^
6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b
^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2
*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*
b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5
*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a
^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
- 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e
+ 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e
^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232
*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^
8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4
*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
- 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4
*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c
- b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2
))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12
*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*
b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^
3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 1
6384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5
*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b
^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*
b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8
*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^
9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344
*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*
b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 96
0*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*
c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^
3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*
e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 +
983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 -
9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e
^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*
d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*
b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*
a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^1
1*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^1
7*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 125
4400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*
c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 1382
4*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^1
4*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 51599
36*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d
^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*
b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^1
2*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 1086464
0*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d
^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*
a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10
*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 62003
20*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^
3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 7471104
0*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*
d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 30233
6*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*
d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545
984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d
^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 1
4974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*
b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^
4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 1985
7408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c
^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9
*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 117
96480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^
6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 25
6*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^
8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6
*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^
2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a
^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^
7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^
3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d
^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^
9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*
a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d
*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9
*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c
^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6
+ 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6
+ 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1
/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*
b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2
*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*
e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3
*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*
(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^
(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*
e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^
8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*
e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23
296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(
-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^
(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3
*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4
*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8
+ 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5
*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280
*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*
a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d
^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5
*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e
^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e
^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4
*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^
3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c
^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a
^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*
e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 96
0*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^1
1*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 20
8*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b
^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*
d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e
^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^
6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a
^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5
- 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6
*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2
*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a
^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 +
992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*
e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b
^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919
152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2
*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^
5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12
- 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^
9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 40104
96*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d
^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c
^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d
^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^1
1 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14
- 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d
*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4
*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*
a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8
- 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a
^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2
- 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4
*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*
c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*
d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2
*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*
c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^
4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e
^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a
^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6
*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 +
1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 +
10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2
) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^
13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e
^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^
2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e
^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-
(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1
/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^
5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*
c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^
5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 2329
6*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(
4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1
/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c
^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a
*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 +
4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b
^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a
^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^
5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6
*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e
^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4
- 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5
+ 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e
^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*
e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5
*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3
*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^
5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*
a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*
b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^
13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^
14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 33
6384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10
*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^
5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 +
14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*
e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*
d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b
^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 5324
8*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^
8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*
d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^
5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a
*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7
*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*
e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^1
3 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^
13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d
*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c
^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*
a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^1
0*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a
^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c
^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^
3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^
5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 +
512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^
7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*
c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3
072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^1
3*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 +
3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a
^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*
a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^
2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2
*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6
976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 71
68*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 4
7712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c
- b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) +
6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51
*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^
5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16
896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*
b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c
- b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) -
86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3
*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b
^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*
a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6
*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^
6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14
*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 -
140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 4
2*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672
*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 134
4*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6
720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 +
17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e
^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*
c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 51
20*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^
9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*
d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e
^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a
^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 -
168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e
^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e
^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*
d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2
604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^
6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*
e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4
*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^
5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*
d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3
*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2
*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*
e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5
+ 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 5
12*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*
e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*
d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 307
2*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*
e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3
072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3
*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^
5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*
c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d
^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 697
6*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168
*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 477
12*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c -
b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*
a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a
^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*
e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 1689
6*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*
c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c -
b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86
*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e
^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2
)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^
13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d
^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*
c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d
^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 1
40*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*
a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a
^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*
a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 672
0*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17
920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6
+ 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*
d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120
*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*
c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^
3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*1i - (((((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b
^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2
*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*
d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8
*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 18
2784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*
e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^
11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 79
8336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*
e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5
*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6
+ 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*
c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 22937
6*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11
*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 61301
76*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^
4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^
6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^
8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^
6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*
e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a
^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^
13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a
^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*
e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 3062169
6*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^
4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 49479
68*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a
*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^1
7*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7
*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 983040
0*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^1
5 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*
c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256
*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^
10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*
a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*
c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d
^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e
^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6
+ 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d
^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9
*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 -
3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (x*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^
2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*
e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1
504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 1
0656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2)
- b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^1
3*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^
4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2
- 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^
3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(
4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/
2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5
+ 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c
^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5
- 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296
*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4
*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/
2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^
2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*
c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 +
4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^
8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^
10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5
*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*
e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^
3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4
- 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5
+ 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^
4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e
^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*
d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*
b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5
+ 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a
^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b
*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^
10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2
*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*
c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b
^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17
920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^
9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^
9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 1123
84*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11
+ 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^
10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8
+ 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2
*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 105
88160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11
*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 412
16*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^
14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 13
72160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c
^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 128
0*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^
12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 -
18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*
c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 31457
28*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*
c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 -
168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^
3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 5
4886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*
c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 +
19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^
10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d
^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 83
55840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*
b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 55
05024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^1
6 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b
^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8
192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b
^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^
8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 +
1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2
*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e
^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2
048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*
a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6
*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3
*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e
- 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^
3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^
5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7
*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d
^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4
*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2)
+ 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^
2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*
b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*
b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^
6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e
^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1
/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(
1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030
*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^
6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d
*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^
4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^
9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120
*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*
e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 -
4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*
a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 -
6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 +
24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*
b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b
^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b
^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*
b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9
*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a
^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^
9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e -
12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12
*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^
7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)
))^(1/2) + (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^1
5 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18
432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008
*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^
11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15
*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d
^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^
9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^
2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 7
3728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*
d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*
c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*
a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*
e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c
^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 6594
56*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5
*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6
*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 -
3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*
c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 47
39072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5
168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b
^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*
c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*
b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304
*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 +
19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9
*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8
- 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 15
36*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d
^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2
- 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 204
8*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^
7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b
*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b
^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e -
92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*
c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*
d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d
*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6
- 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e
^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) +
22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*
b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^
8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^
7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*
b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4
*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2
) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/
2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a
^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*
c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e
^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*
(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)
^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a
^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^
4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*
a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^
7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6
144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 2
4576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^
13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8
*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6
*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^
4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b
^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^1
0*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*
b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 1
2*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c
*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7
- 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))
^(1/2) - (326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 1355
2*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^
14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3
*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c
^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*
c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4
*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2
*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 1250
56*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^
8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*
d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*
b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 38
8032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3
*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e
^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520
*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^1
3*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b
^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5
*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*
a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7
+ a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*
a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8
*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3
+ 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128
*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*
b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*
c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d
^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4
*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5
*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*
e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-
(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 +
4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a
^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 4
4800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*
a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^
4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*
d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*
d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^
7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*
a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 10
6*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1
50*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^1
0*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*
e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4
*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a
*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2)
+ 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c
^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4
*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^
13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*
c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^
12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a
^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2
*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d
^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d
^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*
d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7
*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*
c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*
d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*
b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e
^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 4915
2*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)
+ (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2
*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 +
25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 -
8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b
^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^
3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*
b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5
*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*
a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^
4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 +
a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^
9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c
^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 +
512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a
^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^
3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^
5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7
*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d
^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b
^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^
7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4
*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4
*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2
*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 448
00*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^
7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*
d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^
3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^
2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*
d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*
c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*
a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150
*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*
c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^
5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b
^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c
- b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) +
42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3
*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a
*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13
*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^
8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12
*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^1
1*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d
^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6
*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6
*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^
6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d
^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^
7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^
7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^
14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6
- 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*
a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*1
i)/((2000*a^4*c^9*e^12 + 21*a^2*b^4*c^7*e^12 - 520*a^3*b^2*c^8*e^12 + 1296*a^2*c^11*d^4*e^8 + 4320*a^3*c^10*d^
2*e^10 + 25*b^4*c^9*d^4*e^8 - 60*b^5*c^8*d^3*e^9 + 35*b^6*c^7*d^2*e^10 + 192*a^2*b^2*c^9*d^2*e^10 - 112*a*b^5*
c^7*d*e^11 - 4480*a^3*b*c^9*d*e^11 - 360*a*b^2*c^10*d^4*e^8 + 832*a*b^3*c^9*d^3*e^9 - 362*a*b^4*c^8*d^2*e^10 -
2880*a^2*b*c^10*d^3*e^9 + 1440*a^2*b^3*c^8*d*e^11)/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*
a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*
d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 +
1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d
^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 -
1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*
a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*
b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2
*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*
b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 +
1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^
5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (((((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*
e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^1
6 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8
+ 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^
14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2
*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 33
28*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*
e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3
*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5
504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^
13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 104537
6*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*
e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^
2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^
5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b
^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 +
78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^
12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 -
2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c
^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30
801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c
^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661
632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c
^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3
151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^
4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 +
25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*
b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^
7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^
7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*
d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*
c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 1920
2048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8
- 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2
*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e
^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*
c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*
e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 +
512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512
*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^
8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4
*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e
^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8
*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) - (x*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e
^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 30
72*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*
b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5
*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c
^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^
4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976
*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*
a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 4771
2*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c -
b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a
*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^
3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e
- 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896
*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c
^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b
^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*
a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^
3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)
^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^1
3*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^
8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c
^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^
2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 14
0*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a
^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^
6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a
^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720
*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 179
20*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6
+ 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d
^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*
a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c
^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3
*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e
^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^1
7 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8
*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10
*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*
b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*
a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e
^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b
^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960
*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d
^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000
*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^1
2 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^
5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9
*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b
^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 +
12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^
6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e
^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^
15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*
e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368
*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*
e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b
^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9
*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a
^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^
15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*
a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*
e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120
*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c
^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11
+ 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^
11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*
d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^
8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 3801
0880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d
*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a
^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7
+ a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*
a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8
*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3
+ 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128
*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*
b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*
c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d
^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4
*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5
*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*
e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-
(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 +
4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a
^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 4
4800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*
a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^
4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*
d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*
d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^
7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*
a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 10
6*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1
50*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^1
0*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*
e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4
*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a
*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2)
+ 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c
^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4
*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^
13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*
c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^
12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a
^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2
*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d
^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d
^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*
d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7
*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*
c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*
d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*
b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e
^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 4915
2*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)
- (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 4731
2*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*
c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^1
1*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 -
304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6
*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3
+ 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^
8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c
^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3
*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6
- 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*
e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*
c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 31
4496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e
^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b
^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 -
683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^1
1*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648
*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*
e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^
8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^
9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*
d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^
14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4
*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6
*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^
9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 +
a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^
9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c
^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 +
512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a
^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^
3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^
5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7
*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d
^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b
^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^
7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4
*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4
*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2
*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 448
00*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^
7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*
d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^
3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^
2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*
d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*
c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*
a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150
*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*
c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^
5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b
^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c
- b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) +
42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3
*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a
*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13
*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^
8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12
*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^1
1*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d
^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6
*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6
*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^
6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d
^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^
7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^
7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^
14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6
- 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*
a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) -
(326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^
9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*
e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 -
40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e
^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*
e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^
9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7
*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b
^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 1147
52*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12
+ 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*
d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5
*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 +
1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 250
4*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c
^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^
2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*
d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6
*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*
c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b
^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*
c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4
*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a
^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5
*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*
d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*
e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 6
4*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e -
4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d
^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(
(27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c -
b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*
c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e
^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7
*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*
d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^
2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3
- 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4
+ 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^
3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^
2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10
*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^1
1*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*
e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 74
24*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3
*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2
)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*
b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e
^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b
^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7
+ a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8
- 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c
^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*
d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3
+ 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 +
2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 -
10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2
- 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3
- 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*
e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e -
16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d
^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 153
60*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b
*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (x*(2
2800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^1
3 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*
c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c
^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d
^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^
9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*
e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 3
32*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*
c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^
8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8
*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^
3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e
^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4
*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c
^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^
5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^
4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*
a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4
*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2
*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((2
7*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b
^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^
3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6
*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b
^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^
3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2
+ 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 -
2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 +
10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3
+ 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)
^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c
^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*
c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^
5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424
*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d
^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^
9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^
2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3
*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2
)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 +
a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 -
6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5
*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^
4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 +
1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2
240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 1
0080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 -
21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 -
46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^
4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16
384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4
*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360
*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c
^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (((((10
48576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^
6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14
*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*
c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a
^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e
^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^
5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a
^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8
+ 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*
d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 51814
40*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d
^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^
4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^
3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^
5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10
- 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c
^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 -
31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8
*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 7
1936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*
c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7
609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c
^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 +
24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2
*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13
+ 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10
*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024
*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a
*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*
b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120
*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25
722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^
7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8
*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^
3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e
^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4
*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c
^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^
5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^
4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*
a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4
*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2
*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (x
*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c
- b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^1
2*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4
*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a
^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^
8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*
e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^
3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^
4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*
e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c -
b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^
10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b
^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*
d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 +
7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c
^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b
^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*
a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3
*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c -
b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e
^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^
8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2
*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^
8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e
^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2
+ 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2
- 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^
2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e
^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^
4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e
- 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c
*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 1
5360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10
*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*(1048
576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^
6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^
14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^
13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*
a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^
7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15
*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3
*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 +
3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d
^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862
144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^
7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5
*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^1
1*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a
^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13
+ 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6
*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*
e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a
^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^
3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616
*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7
*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^
7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*
e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248
*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4
*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*
a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^
6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a
^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9
*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 -
2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^
11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^
4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 550
5024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 +
25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4
*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 507904
0*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(8*(a^6*b^8*e^8 + 256*a^6
*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a
^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^1
1*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^
10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d
^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4
- 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 1
28*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*
a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e
^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^
5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*
a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^1
5*d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 -
26880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2
*b^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4
*b^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c
- b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^
9)^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2
*b^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4
*b^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^
5*b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2
*c^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a
*c - b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*
a^2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3
+ 1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a
^4*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c
^5*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^
5*c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a
*c - b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/
2) - 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c
^4*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096
*a^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*
d^8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c
^2*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15
*d^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a
^3*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5
*b^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b
^10*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*
b^9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^
8*b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a
^9*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 215
04*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^
3*d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^
5*b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c
^8*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^
7 - 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^
9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 +
688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325
632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^
8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6
+ 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*
e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*
c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2
*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416
*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*
e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*
c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*
b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 -
916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*
d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4
*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8
+ 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*
c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 152
32*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2
*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*
a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 +
2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000
*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^1
5*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^
12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*
a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 13
85600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c
^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4
*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*
d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10
*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5
*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 -
192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128
*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^
7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7
- 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*
d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^
7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*
d^2*e^4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26
880*a^8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b
^7*c^6*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b
^9*c^2*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c -
b^2)^9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)
^(1/2) - 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b
^11*c^2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b
^5*c^6*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*
b^4*c^6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c
^4*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c
- b^2)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^
2*b^12*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 +
1116*a^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4
*b^8*c^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5
*d*e^5 - 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*
c*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c
- b^2)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2)
- 12*a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4
*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a
^9*c^10*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^
8 + 240*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2
*e^8 - 1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d
^3*e^5 + 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3
*b^14*c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b
^11*c^3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^1
0*c^3*d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^
9*c^3*d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*
b^6*c^5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9
*b^5*c^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504
*a^10*b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*
d^7*e - 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*
b^13*c*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8
*d^7*e - 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7
- 49152*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) - (326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^1
4 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a
^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12
*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 -
464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8
+ 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^1
3*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2
*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*
a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 -
126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^
4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^
3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584
*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^1
1 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d
*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5
- 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*
b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b
^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4
*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*
a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8
+ 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c
^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^
5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d
^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 -
90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a
^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b
^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*
c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a
^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e
+ 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*
c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^
4 - 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^
8*b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6
*d^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2
*e^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^
9)^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2)
- 6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^
2*d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6
*d^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^
6*d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4
*e^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2
)^9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12
*c*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a
^2*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c
^3*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5
- 23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*
e^3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2
)^9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*
a*b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e
*(-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^1
0*d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 24
0*a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 -
1280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5
+ 6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*
c^2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^
3*d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*
d^4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*
d^3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^
5*d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c
^5*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*
b^4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e
- 4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c
*d^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e
- 960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 4915
2*a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2) + (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*
a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*
e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*
c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b
^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*
b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712
*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^1
1*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10
- 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a
^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 +
256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6
*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5
+ 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6
*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 9
0*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5
*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5
*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^
3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2
*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e +
52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^
2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4
- 9*a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*
b*c^6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d
^6 + 1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e
^6 + 10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)
^(1/2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) -
6*b^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*
d^2*e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d
^4*e^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*
d^3*e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e
^2*(-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^
9)^(1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c
*d*e^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2
*b^8*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3
*d*e^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 -
23296*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^
3*(-(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^
9)^(1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*
b^3*c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(
-(4*a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*
d^8 + 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*
a^5*b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1
280*a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 +
6*a^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^
2*d^6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*
d^5*e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^
4*e^4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^
3*e^5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*
d^4*e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5
*d^3*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^
4*c^5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e -
4*a^3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d
^3*e^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e -
960*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*
a^11*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)))*((27*a*b^9*c^5*d^6 - b^11*c^4*d^6 - b^15*d^2*e^4 - 9*
a^2*b^13*e^6 + 3840*a^5*b*c^9*d^6 + 9*a*c^5*d^6*(-(4*a*c - b^2)^9)^(1/2) + 213*a^3*b^11*c*e^6 - 26880*a^8*b*c^
6*e^6 + 3072*a^6*c^9*d^5*e + 35840*a^8*c^7*d*e^5 + 4*b^12*c^3*d^5*e + 4*b^14*c*d^3*e^3 - 288*a^2*b^7*c^6*d^6 +
1504*a^3*b^5*c^7*d^6 - 3840*a^4*b^3*c^8*d^6 - 9*a^2*b^4*e^6*(-(4*a*c - b^2)^9)^(1/2) - 2077*a^4*b^9*c^2*e^6 +
10656*a^5*b^7*c^3*e^6 - 30240*a^6*b^5*c^4*e^6 + 44800*a^7*b^3*c^5*e^6 - 25*a^4*c^2*e^6*(-(4*a*c - b^2)^9)^(1/
2) - b^2*c^4*d^6*(-(4*a*c - b^2)^9)^(1/2) + 22528*a^7*c^8*d^3*e^3 - b^6*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b
^13*c^2*d^4*e^2 + 6*a*b^14*d*e^5 - 1471*a^2*b^9*c^4*d^4*e^2 + 600*a^2*b^10*c^3*d^3*e^3 + 180*a^2*b^11*c^2*d^2*
e^4 + 6976*a^3*b^7*c^5*d^4*e^2 - 1032*a^3*b^8*c^4*d^3*e^3 - 2871*a^3*b^9*c^3*d^2*e^4 - 15456*a^4*b^5*c^6*d^4*e
^2 - 7168*a^4*b^6*c^5*d^3*e^3 + 16896*a^4*b^7*c^4*d^2*e^4 + 10240*a^5*b^3*c^7*d^4*e^2 + 37632*a^5*b^4*c^6*d^3*
e^3 - 47712*a^5*b^5*c^5*d^2*e^4 - 59392*a^6*b^2*c^7*d^3*e^3 + 60928*a^6*b^3*c^6*d^2*e^4 + 41*a^2*c^4*d^4*e^2*(
-(4*a*c - b^2)^9)^(1/2) + 39*a^3*c^3*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 6*b^4*c^2*d^4*e^2*(-(4*a*c - b^2)^9)^(
1/2) + 6*a*b^5*d*e^5*(-(4*a*c - b^2)^9)^(1/2) - 106*a*b^10*c^4*d^5*e + 7*a*b^13*c*d^2*e^4 - 128*a^2*b^12*c*d*e
^5 + 51*a^3*b^2*c*e^6*(-(4*a*c - b^2)^9)^(1/2) + 150*a*b^11*c^3*d^4*e^2 - 84*a*b^12*c^2*d^3*e^3 + 1116*a^2*b^8
*c^5*d^5*e - 5824*a^3*b^6*c^6*d^5*e + 1030*a^3*b^10*c^2*d*e^5 + 15232*a^4*b^4*c^7*d^5*e - 3492*a^4*b^8*c^3*d*e
^5 - 16896*a^5*b^2*c^8*d^5*e + 1344*a^5*b^6*c^4*d*e^5 + 7424*a^6*b*c^8*d^4*e^2 + 22400*a^6*b^4*c^5*d*e^5 - 232
96*a^7*b*c^7*d^2*e^4 - 53760*a^7*b^2*c^6*d*e^5 + 4*b^3*c^3*d^5*e*(-(4*a*c - b^2)^9)^(1/2) + 4*b^5*c*d^3*e^3*(-
(4*a*c - b^2)^9)^(1/2) - 11*a*b^4*c*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2) - 20*a^2*b^3*c*d*e^5*(-(4*a*c - b^2)^9)^(
1/2) - 86*a^3*b*c^2*d*e^5*(-(4*a*c - b^2)^9)^(1/2) + 42*a*b^2*c^3*d^4*e^2*(-(4*a*c - b^2)^9)^(1/2) - 12*a*b^3*
c^2*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 120*a^2*b*c^3*d^3*e^3*(-(4*a*c - b^2)^9)^(1/2) - 34*a*b*c^4*d^5*e*(-(4*
a*c - b^2)^9)^(1/2) + 108*a^2*b^2*c^2*d^2*e^4*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^8 + 4096*a^9*c^10*d^8
+ 4096*a^13*c^6*e^8 - 24*a^8*b^10*c*e^8 - 4*a^6*b^13*d*e^7 + a^3*b^12*c^4*d^8 - 24*a^4*b^10*c^5*d^8 + 240*a^5*
b^8*c^6*d^8 - 1280*a^6*b^6*c^7*d^8 + 3840*a^7*b^4*c^8*d^8 - 6144*a^8*b^2*c^9*d^8 + 240*a^9*b^8*c^2*e^8 - 1280*
a^10*b^6*c^3*e^8 + 3840*a^11*b^4*c^4*e^8 - 6144*a^12*b^2*c^5*e^8 + a^3*b^16*d^4*e^4 - 4*a^4*b^15*d^3*e^5 + 6*a
^5*b^14*d^2*e^6 + 16384*a^10*c^9*d^6*e^2 + 24576*a^11*c^8*d^4*e^4 + 16384*a^12*c^7*d^2*e^6 + 6*a^3*b^14*c^2*d^
6*e^2 - 140*a^4*b^12*c^3*d^6*e^2 + 84*a^4*b^13*c^2*d^5*e^3 + 1344*a^5*b^10*c^4*d^6*e^2 - 672*a^5*b^11*c^3*d^5*
e^3 - 42*a^5*b^12*c^2*d^4*e^4 - 6720*a^6*b^8*c^5*d^6*e^2 + 2240*a^6*b^9*c^4*d^5*e^3 + 1456*a^6*b^10*c^3*d^4*e^
4 - 672*a^6*b^11*c^2*d^3*e^5 + 17920*a^7*b^6*c^6*d^6*e^2 - 10080*a^7*b^8*c^4*d^4*e^4 + 2240*a^7*b^9*c^3*d^3*e^
5 + 1344*a^7*b^10*c^2*d^2*e^6 - 21504*a^8*b^4*c^7*d^6*e^2 - 21504*a^8*b^5*c^6*d^5*e^3 + 32256*a^8*b^6*c^5*d^4*
e^4 - 6720*a^8*b^8*c^3*d^2*e^6 + 57344*a^9*b^3*c^7*d^5*e^3 - 46592*a^9*b^4*c^6*d^4*e^4 - 21504*a^9*b^5*c^5*d^3
*e^5 + 17920*a^9*b^6*c^4*d^2*e^6 + 12288*a^10*b^2*c^7*d^4*e^4 + 57344*a^10*b^3*c^6*d^3*e^5 - 21504*a^10*b^4*c^
5*d^2*e^6 + 96*a^7*b^11*c*d*e^7 - 16384*a^9*b*c^9*d^7*e - 16384*a^12*b*c^6*d*e^7 - 4*a^3*b^13*c^3*d^7*e - 4*a^
3*b^15*c*d^5*e^3 + 96*a^4*b^11*c^4*d^7*e - 12*a^4*b^14*c*d^4*e^4 - 960*a^5*b^9*c^5*d^7*e + 84*a^5*b^13*c*d^3*e
^5 + 5120*a^6*b^7*c^6*d^7*e - 140*a^6*b^12*c*d^2*e^6 - 15360*a^7*b^5*c^7*d^7*e + 24576*a^8*b^3*c^8*d^7*e - 960
*a^8*b^9*c^2*d*e^7 + 5120*a^9*b^7*c^3*d*e^7 - 49152*a^10*b*c^8*d^5*e^3 - 15360*a^10*b^5*c^4*d*e^7 - 49152*a^11
*b*c^7*d^3*e^5 + 24576*a^11*b^3*c^5*d*e^7)))^(1/2)*2i - ((x*(b^3*e + 2*a*c^2*d - b^2*c*d - 3*a*b*c*e))/(2*a*(a
*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e)) - (c*x^3*(2*a*c*e - b^2*e + b*c*d))
/(2*a*(a*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e)))/(a + b*x^2 + c*x^4) - (ata
n((((((-d*e^7)^(1/2)*((326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^
3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 +
11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736
*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^
5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^
10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 -
47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^
8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^
2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b
^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264
*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9
- 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10
*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^
6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^
4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*
d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^1
1 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4
+ 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8
+ 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e
^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*
a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c
^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e
^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^
9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*
d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^
2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 +
1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 102
4*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 6
4*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d
^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a
^8*b^3*c^3*d*e^7)) + (((x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*
b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c
^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e
^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240
*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^
8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^
2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 +
74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^
10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*
d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a
^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 1581
76*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^
13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b
^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 1752
96*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^
9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5
*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 +
3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^
8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873
088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d
^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*
d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^
8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 5
12*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 -
108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e
^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9
*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8
- 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*
b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*
d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a
^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4
*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d
^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e
^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6
- 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^
3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*
c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1
024*a^8*b^3*c^3*d*e^7)) - (((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^
9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*
c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10
*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*
a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*
e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3
*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^
3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e
^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^
3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 292454
4*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d
^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a
^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2
- 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5
*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9
+ 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13
*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 1
2001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7
*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 6
10304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*
c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7
182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^
4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 1
6429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*
c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12
- 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*
b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 +
128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 89
60*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b
^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 3315
2*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 +
1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9
*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*
e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a
^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c
^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 5
2*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*
b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^
6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^
2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e
^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5
*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b
^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5
+ 1024*a^8*b^3*c^3*d*e^7)) - (x*(-d*e^7)^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10
*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c
^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^
12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^1
1*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 1792
0*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9
+ 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*
d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384
*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 +
40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10
*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 +
128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d
^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588
160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c
^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216
*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14
*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372
160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6
*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*
a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12
*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18
362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^
5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728
*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^
10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 16
8960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*
d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 548
86400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^
6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19
333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10
*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6
*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355
840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^
4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505
024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16
+ 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7
*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 819
2000*a^13*b^3*c^7*d*e^16))/(16*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^
2)*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 -
16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2
*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a
^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^
6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3
+ 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 224
0*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^
7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d
*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c
*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072
*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2)
)/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)))*(-d*e^7)^(1/2))/(2*(c
^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2))))/(2*(c^2*d^5 + a^2*d*e^4 + b
^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)) + (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 60
0*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^
6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^
6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2
*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^
2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 117
12*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c
^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^1
0 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120
*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8
+ 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c
^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^
5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d
^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 -
90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a
^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b
^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*
c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a
^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e
+ 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*
c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2)*1i)/(2*(c^2*d^5 + a^2*d*e^4 + b^
2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)) - ((((-d*e^7)^(1/2)*((326912*a^8*c^9*d*e^13 - 241664
*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e
^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 1
97120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c
^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^
11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 15
36*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e
^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4
*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*
c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*
a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 -
191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3
*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b
^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 6
4*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^
6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5
*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^
2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e
^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*
e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 2
56*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8
+ 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a
^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*
a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7
*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d
^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e
^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 -
1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c
^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*
b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3
- 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) - (((x*(626688*a^10*b*c^8*e^15 - 7
84384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b
^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d
^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3
*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12
*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*
b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 3
6352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^
8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d
^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b
^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 32
4224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^1
1 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^
12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272
*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^1
2 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4
*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 116
2304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*
d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^
6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^
12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^
12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d
^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^1
0 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 +
11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*
e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*
d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^
8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5
*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4
- 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6
+ 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^
4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*
c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*
d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*
e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^
9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384
*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5
*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (((1048576*a^13*c^8*e^16 +
256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^
11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8
*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 530841
6*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 +
154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^
5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6
*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 +
1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5
*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*
b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e
^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b
^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 -
3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^
12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12
657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5
*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*
a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10
*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 604352
0*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*
e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 3226009
6*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4
*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240
*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d
^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022
080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*
d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 49
1520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 +
3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 35
84*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408
*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 -
324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5
*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8
*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*
c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e
^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*
e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192
*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b
^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c
^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d
^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024
*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 -
384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*
d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + (x*(-d*e^7)^(1/2)*(10485
76*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6
*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^1
4*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^1
3*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a
^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7
+ 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*
e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*
b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 +
3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^
14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 18621
44*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7
*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*
b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11
*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^
5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 +
327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*
b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e
^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^
6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3
- 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*
a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*
e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7
*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e
^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*
a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*
e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a
^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6
*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^
9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*
d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2
928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^1
1*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4
*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505
024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 +
25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*
d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040
*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7*d*e^16))/(16*(c^2*d^5 + a^2*d*e^4 +
b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8
- 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2
*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e
^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*
c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*
e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 +
512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512
*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^
8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4
*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e
^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8
*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e
- 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*
b*d^2*e^3 + 2*a*c*d^3*e^2))))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*
e^2)) - (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^
5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e
^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*
e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*
a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 138
24*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088
*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^
9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 +
416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 213
76*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*
e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 2
56*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*
a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*
e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 -
128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a
^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b
^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^
7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*
c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*
a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3
*d*e^7)))*(-d*e^7)^(1/2)*1i)/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e
^2)))/(((((-d*e^7)^(1/2)*((326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^1
1*c^3*e^14 - 13552*a^4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^
14 + 11520*a^3*c^14*d^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 53
2736*a^7*c^10*d^3*e^11 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^
9*e^5 - 264*b^9*c^8*d^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^
4*e^10 + 64*b^14*c^3*d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^
4 - 47152*a^2*b^4*c^11*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^
6*e^8 + 23488*a^2*b^8*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^
4*d^2*e^12 + 125056*a^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a
^3*b^5*c^9*d^6*e^8 - 114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 2
5264*a^3*b^9*c^5*d^2*e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*
e^9 - 277000*a^4*b^5*c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*
c^10*d^5*e^9 + 388032*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 48896
0*a^6*b^2*c^9*d^3*e^11 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*
a*b^4*c^12*d^11*e^3 + 2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*
c^8*d^7*e^7 - 520*a*b^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3
*e^11 + 240*a*b^13*c^3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*
e^4 + 15808*a^3*b^10*c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6
*e^8 + 179200*a^5*b^6*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d
^2*e^12 - 244096*a^7*b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8
- 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b
^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d
^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^
3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*
c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^
6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^
6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 -
1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3
+ 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c
^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 10
24*a^8*b^3*c^3*d*e^7)) + (((x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*
a^5*b^11*c^3*e^15 + 47312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b
^3*c^7*e^15 + 18432*a^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d
^7*e^8 - 1067008*a^8*c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 +
240*b^10*c^9*d^11*e^4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^
7*e^8 + 240*b^15*c^4*d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 1843
2*a^2*b^5*c^12*d^12*e^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^
6 + 74576*a^2*b^9*c^8*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^
5*e^10 - 9264*a^2*b^13*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c
^14*d^13*e^2 + 73728*a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 2066
88*a^3*b^6*c^10*d^9*e^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 -
158176*a^3*b^10*c^6*d^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^
2*e^13 + 162816*a^4*b^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a
^4*b^5*c^10*d^8*e^7 - 314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 -
175296*a^4*b^9*c^6*d^4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^1
2*d^9*e^6 - 659456*a^5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192
*a^5*b^6*c^8*d^5*e^10 - 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^
13 + 3442688*a^6*b^2*c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^
5*c^8*d^4*e^11 - 3059648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 -
6873088*a^7*b^3*c^9*d^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c
^9*d^3*e^12 - 4739072*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c
^10*d^11*e^4 + 5168*a*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^
7*e^8 - 5040*a*b^13*c^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12
- 512*a^3*b^14*c^2*d*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e
^5 - 108288*a^5*b^10*c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d
^6*e^9 - 1278304*a^7*b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b
*c^9*d^2*e^13 + 19968*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c
*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*
a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*
c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 +
52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5
*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c
^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d
^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*
e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^
5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*
b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5
+ 1024*a^8*b^3*c^3*d*e^7)) - (((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 6144
0*a^9*b^8*c^4*e^16 - 327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*
a^6*c^15*d^14*e^2 - 917504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*
a^10*c^11*d^6*e^10 + 10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22
656*a^2*b^9*c^10*d^13*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d
^10*e^6 + 130816*a^2*b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16
*c^3*d^6*e^10 - 896*a^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 68454
4*a^3*b^8*c^10*d^12*e^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d
^9*e^7 + 89856*a^3*b^12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^1
5*c^3*d^5*e^11 + 2560*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 29
24544*a^4*b^6*c^11*d^12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c
^8*d^9*e^7 + 1900544*a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 1120
00*a^4*b^13*c^4*d^5*e^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14
*e^2 - 1867776*a^5*b^3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040
*a^5*b^6*c^10*d^10*e^6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*
e^9 + 734080*a^5*b^10*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*
b^13*c^3*d^3*e^13 + 3200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5
+ 12001280*a^6*b^4*c^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6
*b^7*c^8*d^7*e^9 - 12205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12
- 610304*a^6*b^11*c^4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*
b^3*c^11*d^9*e^7 - 8028160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10
- 7182336*a^7*b^7*c^7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^1
0*c^4*d^2*e^14 - 30146560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10
- 16429056*a^8*b^5*c^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*
b^8*c^5*d^2*e^14 - 10977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e
^12 - 9232384*a^9*b^5*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a
^10*b^3*c^8*d^3*e^13 - 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^1
5 + 128*a*b^10*c^10*d^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5
+ 8960*a*b^14*c^6*d^10*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128
*a*b^18*c^2*d^6*e^10 + 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 +
33152*a^7*b^11*c^3*d*e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^
9 + 1689600*a^9*b^7*c^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b
*c^9*d^3*e^13 + 7667712*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^
6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 +
96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a
^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2
+ 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*
a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^
2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^
2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d
^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c
*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a
^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*
e^5 + 1024*a^8*b^3*c^3*d*e^7)) - (x*(-d*e^7)^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*
b^10*c^3*e^17 + 61440*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b
^2*c^7*e^17 - 1048576*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^1
1*c^12*d^8*e^9 + 5242880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2
*b^11*c^10*d^15*e^2 - 2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 +
17920*a^2*b^15*c^6*d^11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*
e^9 + 256*a^2*b^19*c^2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*
c^9*d^13*e^4 + 296192*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 11
2384*a^3*b^15*c^5*d^9*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^
11 + 40960*a^4*b^7*c^12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*
b^10*c^9*d^12*e^5 + 2867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^
8 + 128000*a^4*b^14*c^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c
^2*d^5*e^12 - 163840*a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 1
0588160*a^5*b^8*c^10*d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^
11*c^7*d^9*e^8 - 2279680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 4
1216*a^5*b^15*c^3*d^5*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*
d^14*e^3 + 12615680*a^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 +
1372160*a^6*b^8*c^9*d^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11
*c^6*d^7*e^10 - 1111040*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1
280*a^6*b^15*c^2*d^3*e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*
c^12*d^12*e^5 - 3768320*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8
- 18362368*a^7*b^8*c^8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^1
1*c^5*d^5*e^12 - 228608*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 314
5728*a^8*b^2*c^13*d^12*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^
5*c^10*d^9*e^8 - 11075584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11
- 168960*a^8*b^9*c^6*d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*
c^3*d^2*e^15 - 36962304*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 -
54886400*a^9*b^5*c^9*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^
8*c^6*d^4*e^13 + 1356800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9
+ 19333120*a^10*b^3*c^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*
a^10*b^6*c^7*d^4*e^13 - 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10
*d^6*e^11 + 23920640*a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 +
8355840*a^11*b^6*c^6*d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^1
2*b^4*c^7*d^2*e^15 + 3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 +
5505024*a^8*b*c^14*d^13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e
^16 + 38010880*a^10*b*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11
*b^7*c^5*d*e^16 - 21233664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 +
8192000*a^13*b^3*c^7*d*e^16))/(16*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^
3*e^2)*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^
8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 +
a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 10
24*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^
4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*
e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 -
2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 204
8*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7
*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^
10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 -
3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(
1/2))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)))*(-d*e^7)^(1/2))/(
2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2))))/(2*(c^2*d^5 + a^2*d*e^4
+ b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)) + (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13
- 600*a^3*b^6*c^6*e^13 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^1
2*d^6*e^7 + 30304*a^4*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 21
4*b^6*c^9*d^6*e^7 - 168*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336
*a^2*b^2*c^11*d^6*e^7 + 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 125
4*a^2*b^6*c^7*d^2*e^11 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 +
11712*a^4*b^2*c^9*d^2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b
^3*c^11*d^7*e^6 - 2604*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3
*e^10 - 48*a*b^8*c^6*d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 -
4120*a^3*b^5*c^7*d*e^12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8
*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b
^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^
3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c
^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e
^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 1
92*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a
^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*
b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 -
4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^
7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*
b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a^2*d*e^4 + b
^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)) - (2000*a^4*c^9*e^12 + 21*a^2*b^4*c^7*e^12 - 520*a^
3*b^2*c^8*e^12 + 1296*a^2*c^11*d^4*e^8 + 4320*a^3*c^10*d^2*e^10 + 25*b^4*c^9*d^4*e^8 - 60*b^5*c^8*d^3*e^9 + 35
*b^6*c^7*d^2*e^10 + 192*a^2*b^2*c^9*d^2*e^10 - 112*a*b^5*c^7*d*e^11 - 4480*a^3*b*c^9*d*e^11 - 360*a*b^2*c^10*d
^4*e^8 + 832*a*b^3*c^9*d^3*e^9 - 362*a*b^4*c^8*d^2*e^10 - 2880*a^2*b*c^10*d^3*e^9 + 1440*a^2*b^3*c^8*d*e^11)/(
8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 1
6*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*
b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^
9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6
*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 +
800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240
*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7
*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*
e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*
d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*
a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)) + ((((-d*e^7)^(1
/2)*((326912*a^8*c^9*d*e^13 - 241664*a^8*b*c^8*e^14 - 48*a^2*b^13*c^2*e^14 + 1264*a^3*b^11*c^3*e^14 - 13552*a^
4*b^9*c^4*e^14 + 75776*a^5*b^7*c^5*e^14 - 232960*a^6*b^5*c^6*e^14 + 372736*a^7*b^3*c^7*e^14 + 11520*a^3*c^14*d
^11*e^3 + 78080*a^4*c^13*d^9*e^5 + 197120*a^5*c^12*d^7*e^7 + 336384*a^6*c^11*d^5*e^9 + 532736*a^7*c^10*d^3*e^1
1 - 40*b^5*c^12*d^12*e^2 + 216*b^6*c^11*d^11*e^3 - 464*b^7*c^10*d^10*e^4 + 496*b^8*c^9*d^9*e^5 - 264*b^9*c^8*d
^8*e^6 + 56*b^10*c^7*d^7*e^7 - 16*b^11*c^6*d^6*e^8 + 64*b^12*c^5*d^5*e^9 - 96*b^13*c^4*d^4*e^10 + 64*b^14*c^3*
d^3*e^11 - 16*b^15*c^2*d^2*e^12 + 1536*a^2*b^2*c^13*d^11*e^3 + 14400*a^2*b^3*c^12*d^10*e^4 - 47152*a^2*b^4*c^1
1*d^9*e^5 + 52144*a^2*b^5*c^10*d^8*e^6 - 16272*a^2*b^6*c^9*d^7*e^7 - 13040*a^2*b^7*c^8*d^6*e^8 + 23488*a^2*b^8
*c^7*d^5*e^9 - 26384*a^2*b^9*c^6*d^4*e^10 + 13824*a^2*b^10*c^5*d^3*e^11 + 256*a^2*b^11*c^4*d^2*e^12 + 125056*a
^3*b^2*c^12*d^9*e^5 - 36224*a^3*b^3*c^11*d^8*e^6 - 126432*a^3*b^4*c^10*d^7*e^7 + 144848*a^3*b^5*c^9*d^6*e^8 -
114752*a^3*b^6*c^8*d^5*e^9 + 125392*a^3*b^7*c^7*d^4*e^10 - 53248*a^3*b^8*c^6*d^3*e^11 - 25264*a^3*b^9*c^5*d^2*
e^12 + 474112*a^4*b^2*c^11*d^7*e^7 - 191104*a^4*b^3*c^10*d^6*e^8 + 97184*a^4*b^4*c^9*d^5*e^9 - 277000*a^4*b^5*
c^8*d^4*e^10 + 56056*a^4*b^6*c^7*d^3*e^11 + 195584*a^4*b^7*c^6*d^2*e^12 + 236800*a^5*b^2*c^10*d^5*e^9 + 388032
*a^5*b^3*c^9*d^4*e^10 + 159632*a^5*b^4*c^8*d^3*e^11 - 670488*a^5*b^5*c^7*d^2*e^12 - 488960*a^6*b^2*c^9*d^3*e^1
1 + 1106496*a^6*b^3*c^8*d^2*e^12 + 64*a*b^14*c^2*d*e^13 + 448*a*b^3*c^13*d^12*e^2 - 1968*a*b^4*c^12*d^11*e^3 +
2504*a*b^5*c^11*d^10*e^4 + 768*a*b^6*c^10*d^9*e^5 - 4368*a*b^7*c^9*d^8*e^6 + 3568*a*b^8*c^8*d^7*e^7 - 520*a*b
^9*c^7*d^6*e^8 - 1728*a*b^10*c^6*d^5*e^9 + 2528*a*b^11*c^5*d^4*e^10 - 1536*a*b^12*c^4*d^3*e^11 + 240*a*b^13*c^
3*d^2*e^12 - 1152*a^2*b*c^14*d^12*e^2 - 1600*a^2*b^12*c^3*d*e^13 - 67968*a^3*b*c^13*d^10*e^4 + 15808*a^3*b^10*
c^4*d*e^13 - 342272*a^4*b*c^12*d^8*e^6 - 76928*a^4*b^8*c^5*d*e^13 - 569088*a^5*b*c^11*d^6*e^8 + 179200*a^5*b^6
*c^6*d*e^13 - 586368*a^6*b*c^10*d^4*e^10 - 113008*a^6*b^4*c^7*d*e^13 - 731008*a^7*b*c^9*d^2*e^12 - 244096*a^7*
b^2*c^8*d*e^13)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a
^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*
b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6
*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 5
12*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5
*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*
c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*
d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e
+ 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7
*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8
*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)
) - (((x*(626688*a^10*b*c^8*e^15 - 784384*a^10*c^9*d*e^14 + 208*a^4*b^13*c^2*e^15 - 4880*a^5*b^11*c^3*e^15 + 4
7312*a^6*b^9*c^4*e^15 - 242176*a^7*b^7*c^5*e^15 + 688640*a^8*b^5*c^6*e^15 - 1028096*a^9*b^3*c^7*e^15 + 18432*a
^4*c^15*d^13*e^2 + 126976*a^5*c^14*d^11*e^4 + 325632*a^6*c^13*d^9*e^6 + 139264*a^7*c^12*d^7*e^8 - 1067008*a^8*
c^11*d^5*e^10 - 1773568*a^9*c^10*d^3*e^12 + 16*b^8*c^11*d^13*e^2 - 96*b^9*c^10*d^12*e^3 + 240*b^10*c^9*d^11*e^
4 - 304*b^11*c^8*d^10*e^5 + 144*b^12*c^7*d^9*e^6 + 144*b^13*c^6*d^8*e^7 - 304*b^14*c^5*d^7*e^8 + 240*b^15*c^4*
d^6*e^9 - 96*b^16*c^3*d^5*e^10 + 16*b^17*c^2*d^4*e^11 + 3200*a^2*b^4*c^13*d^13*e^2 - 18432*a^2*b^5*c^12*d^12*e
^3 + 41024*a^2*b^6*c^11*d^11*e^4 - 36352*a^2*b^7*c^10*d^10*e^5 - 16208*a^2*b^8*c^9*d^9*e^6 + 74576*a^2*b^9*c^8
*d^8*e^7 - 78496*a^2*b^10*c^7*d^7*e^8 + 32064*a^2*b^11*c^6*d^6*e^9 + 6000*a^2*b^12*c^5*d^5*e^10 - 9264*a^2*b^1
3*c^4*d^4*e^11 + 1472*a^2*b^14*c^3*d^3*e^12 + 416*a^2*b^15*c^2*d^2*e^13 - 12800*a^3*b^2*c^14*d^13*e^2 + 73728*
a^3*b^3*c^13*d^12*e^3 - 151296*a^3*b^4*c^12*d^11*e^4 + 78336*a^3*b^5*c^11*d^10*e^5 + 206688*a^3*b^6*c^10*d^9*e
^6 - 436736*a^3*b^7*c^9*d^8*e^7 + 324224*a^3*b^8*c^8*d^7*e^8 + 992*a^3*b^9*c^7*d^6*e^9 - 158176*a^3*b^10*c^6*d
^5*e^10 + 77056*a^3*b^11*c^5*d^4*e^11 + 6912*a^3*b^12*c^4*d^3*e^12 - 8416*a^3*b^13*c^3*d^2*e^13 + 162816*a^4*b
^2*c^13*d^11*e^4 + 184320*a^4*b^3*c^12*d^10*e^5 - 916608*a^4*b^4*c^11*d^9*e^6 + 1165824*a^4*b^5*c^10*d^8*e^7 -
314496*a^4*b^6*c^9*d^7*e^8 - 822272*a^4*b^7*c^8*d^6*e^9 + 919152*a^4*b^8*c^7*d^5*e^10 - 175296*a^4*b^9*c^6*d^
4*e^11 - 189328*a^4*b^10*c^5*d^3*e^12 + 62064*a^4*b^11*c^4*d^2*e^13 + 1290752*a^5*b^2*c^12*d^9*e^6 - 659456*a^
5*b^3*c^11*d^8*e^7 - 1561088*a^5*b^4*c^10*d^7*e^8 + 3240960*a^5*b^5*c^9*d^6*e^9 - 1964192*a^5*b^6*c^8*d^5*e^10
- 683008*a^5*b^7*c^7*d^4*e^11 + 1162304*a^5*b^8*c^6*d^3*e^12 - 164112*a^5*b^9*c^5*d^2*e^13 + 3442688*a^6*b^2*
c^11*d^7*e^8 - 3670016*a^6*b^3*c^10*d^6*e^9 + 15232*a^6*b^4*c^9*d^5*e^10 + 4230144*a^6*b^5*c^8*d^4*e^11 - 3059
648*a^6*b^6*c^7*d^3*e^12 - 247296*a^6*b^7*c^6*d^2*e^13 + 4010496*a^7*b^2*c^10*d^5*e^10 - 6873088*a^7*b^3*c^9*d
^4*e^11 + 2822400*a^7*b^4*c^8*d^3*e^12 + 2370048*a^7*b^5*c^7*d^2*e^13 + 1178624*a^8*b^2*c^9*d^3*e^12 - 4739072
*a^8*b^3*c^8*d^2*e^13 - 352*a*b^6*c^12*d^13*e^2 + 2048*a*b^7*c^11*d^12*e^3 - 4800*a*b^8*c^10*d^11*e^4 + 5168*a
*b^9*c^9*d^10*e^5 - 480*a*b^10*c^8*d^9*e^6 - 6000*a*b^11*c^7*d^8*e^7 + 8192*a*b^12*c^6*d^7*e^8 - 5040*a*b^13*c
^5*d^6*e^9 + 1152*a*b^14*c^4*d^5*e^10 + 240*a*b^15*c^3*d^4*e^11 - 128*a*b^16*c^2*d^3*e^12 - 512*a^3*b^14*c^2*d
*e^14 - 106496*a^4*b*c^14*d^12*e^3 + 11680*a^4*b^12*c^3*d*e^14 - 675840*a^5*b*c^13*d^10*e^5 - 108288*a^5*b^10*
c^4*d*e^14 - 1601536*a^6*b*c^12*d^8*e^7 + 514768*a^6*b^8*c^5*d*e^14 - 925696*a^7*b*c^11*d^6*e^9 - 1278304*a^7*
b^6*c^6*d*e^14 + 2457600*a^8*b*c^10*d^4*e^11 + 1385600*a^8*b^4*c^7*d*e^14 + 2977792*a^9*b*c^9*d^2*e^13 + 19968
*a^9*b^2*c^8*d*e^14))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^
7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256
*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^
8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^
3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 12
8*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6
*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2
*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*
d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^
4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^
5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d
*e^7)) + (((1048576*a^13*c^8*e^16 + 256*a^7*b^12*c^2*e^16 - 6144*a^8*b^10*c^3*e^16 + 61440*a^9*b^8*c^4*e^16 -
327680*a^10*b^6*c^5*e^16 + 983040*a^11*b^4*c^6*e^16 - 1572864*a^12*b^2*c^7*e^16 - 196608*a^6*c^15*d^14*e^2 - 9
17504*a^7*c^14*d^12*e^4 - 589824*a^8*c^13*d^10*e^6 + 3932160*a^9*c^12*d^8*e^8 + 10158080*a^10*c^11*d^6*e^10 +
10616832*a^11*c^10*d^4*e^12 + 5308416*a^12*c^9*d^2*e^14 - 2816*a^2*b^8*c^11*d^14*e^2 + 22656*a^2*b^9*c^10*d^13
*e^3 - 78848*a^2*b^10*c^9*d^12*e^4 + 154112*a^2*b^11*c^8*d^11*e^5 - 182784*a^2*b^12*c^7*d^10*e^6 + 130816*a^2*
b^13*c^6*d^9*e^7 - 50176*a^2*b^14*c^5*d^8*e^8 + 4608*a^2*b^15*c^4*d^7*e^9 + 3328*a^2*b^16*c^3*d^6*e^10 - 896*a
^2*b^17*c^2*d^5*e^11 + 24576*a^3*b^6*c^12*d^14*e^2 - 198656*a^3*b^7*c^11*d^13*e^3 + 684544*a^3*b^8*c^10*d^12*e
^4 - 1291520*a^3*b^9*c^9*d^11*e^5 + 1403776*a^3*b^10*c^8*d^10*e^6 - 798336*a^3*b^11*c^7*d^9*e^7 + 89856*a^3*b^
12*c^6*d^8*e^8 + 155136*a^3*b^13*c^5*d^7*e^9 - 77440*a^3*b^14*c^4*d^6*e^10 + 5504*a^3*b^15*c^3*d^5*e^11 + 2560
*a^3*b^16*c^2*d^4*e^12 - 106496*a^4*b^4*c^13*d^14*e^2 + 864256*a^4*b^5*c^12*d^13*e^3 - 2924544*a^4*b^6*c^11*d^
12*e^4 + 5181440*a^4*b^7*c^10*d^11*e^5 - 4686080*a^4*b^8*c^9*d^10*e^6 + 1045376*a^4*b^9*c^8*d^9*e^7 + 1900544*
a^4*b^10*c^7*d^8*e^8 - 1732096*a^4*b^11*c^6*d^7*e^9 + 390400*a^4*b^12*c^5*d^6*e^10 + 112000*a^4*b^13*c^4*d^5*e
^11 - 40960*a^4*b^14*c^3*d^4*e^12 - 3840*a^4*b^15*c^2*d^3*e^13 + 229376*a^5*b^2*c^14*d^14*e^2 - 1867776*a^5*b^
3*c^13*d^13*e^3 + 6078464*a^5*b^4*c^12*d^12*e^4 - 9297920*a^5*b^5*c^11*d^11*e^5 + 4055040*a^5*b^6*c^10*d^10*e^
6 + 7788544*a^5*b^7*c^9*d^9*e^7 - 12657664*a^5*b^8*c^8*d^8*e^8 + 6130176*a^5*b^9*c^7*d^7*e^9 + 734080*a^5*b^10
*c^6*d^6*e^10 - 1442560*a^5*b^11*c^5*d^5*e^11 + 168960*a^5*b^12*c^4*d^4*e^12 + 78080*a^5*b^13*c^3*d^3*e^13 + 3
200*a^5*b^14*c^2*d^2*e^14 - 4587520*a^6*b^2*c^13*d^12*e^4 + 3080192*a^6*b^3*c^12*d^11*e^5 + 12001280*a^6*b^4*c
^11*d^10*e^6 - 31076352*a^6*b^5*c^10*d^9*e^7 + 27475968*a^6*b^6*c^9*d^8*e^8 - 2088960*a^6*b^7*c^8*d^7*e^9 - 12
205312*a^6*b^8*c^7*d^6*e^10 + 6043520*a^6*b^9*c^6*d^5*e^11 + 631808*a^6*b^10*c^5*d^4*e^12 - 610304*a^6*b^11*c^
4*d^3*e^13 - 71936*a^6*b^12*c^3*d^2*e^14 - 21725184*a^7*b^2*c^12*d^10*e^6 + 30801920*a^7*b^3*c^11*d^9*e^7 - 80
28160*a^7*b^4*c^10*d^8*e^8 - 32260096*a^7*b^5*c^9*d^7*e^9 + 37101568*a^7*b^6*c^8*d^6*e^10 - 7182336*a^7*b^7*c^
7*d^5*e^11 - 7609856*a^7*b^8*c^6*d^4*e^12 + 2112256*a^7*b^9*c^5*d^3*e^13 + 661632*a^7*b^10*c^4*d^2*e^14 - 3014
6560*a^8*b^2*c^11*d^8*e^8 + 55050240*a^8*b^3*c^10*d^7*e^9 - 34365440*a^8*b^4*c^9*d^6*e^10 - 16429056*a^8*b^5*c
^8*d^5*e^11 + 24600576*a^8*b^6*c^7*d^4*e^12 - 1683456*a^8*b^7*c^6*d^3*e^13 - 3151616*a^8*b^8*c^5*d^2*e^14 - 10
977280*a^9*b^2*c^10*d^6*e^10 + 47022080*a^9*b^3*c^9*d^5*e^11 - 30621696*a^9*b^4*c^8*d^4*e^12 - 9232384*a^9*b^5
*c^7*d^3*e^13 + 7970816*a^9*b^6*c^6*d^2*e^14 + 4325376*a^10*b^2*c^9*d^4*e^12 + 25493504*a^10*b^3*c^8*d^3*e^13
- 9117696*a^10*b^4*c^7*d^2*e^14 + 491520*a^11*b^2*c^8*d^2*e^14 - 4947968*a^12*b*c^8*d*e^15 + 128*a*b^10*c^10*d
^14*e^2 - 1024*a*b^11*c^9*d^13*e^3 + 3584*a*b^12*c^8*d^12*e^4 - 7168*a*b^13*c^7*d^11*e^5 + 8960*a*b^14*c^6*d^1
0*e^6 - 7168*a*b^15*c^5*d^9*e^7 + 3584*a*b^16*c^4*d^8*e^8 - 1024*a*b^17*c^3*d^7*e^9 + 128*a*b^18*c^2*d^6*e^10
+ 1605632*a^6*b*c^14*d^13*e^3 - 1408*a^6*b^13*c^2*d*e^15 + 7012352*a^7*b*c^13*d^11*e^5 + 33152*a^7*b^11*c^3*d*
e^15 + 7045120*a^8*b*c^12*d^9*e^7 - 324480*a^8*b^9*c^4*d*e^15 - 9830400*a^9*b*c^11*d^7*e^9 + 1689600*a^9*b^7*c
^5*d*e^15 - 25722880*a^10*b*c^10*d^5*e^11 - 4935680*a^10*b^5*c^6*d*e^15 - 19202048*a^11*b*c^9*d^3*e^13 + 76677
12*a^11*b^3*c^7*d*e^15)/(16*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d
*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 -
256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536
*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5
*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 -
128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*
a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*
b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c
^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7
*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92
*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^
3*d*e^7)) + (x*(-d*e^7)^(1/2)*(1048576*a^15*c^8*e^17 + 256*a^9*b^12*c^2*e^17 - 6144*a^10*b^10*c^3*e^17 + 61440
*a^11*b^8*c^4*e^17 - 327680*a^12*b^6*c^5*e^17 + 983040*a^13*b^4*c^6*e^17 - 1572864*a^14*b^2*c^7*e^17 - 1048576
*a^8*c^15*d^14*e^3 - 5242880*a^9*c^14*d^12*e^5 - 9437184*a^10*c^13*d^10*e^7 - 5242880*a^11*c^12*d^8*e^9 + 5242
880*a^12*c^11*d^6*e^11 + 9437184*a^13*c^10*d^4*e^13 + 5242880*a^14*c^9*d^2*e^15 + 256*a^2*b^11*c^10*d^15*e^2 -
2048*a^2*b^12*c^9*d^14*e^3 + 7168*a^2*b^13*c^8*d^13*e^4 - 14336*a^2*b^14*c^7*d^12*e^5 + 17920*a^2*b^15*c^6*d^
11*e^6 - 14336*a^2*b^16*c^5*d^10*e^7 + 7168*a^2*b^17*c^4*d^9*e^8 - 2048*a^2*b^18*c^3*d^8*e^9 + 256*a^2*b^19*c^
2*d^7*e^10 - 5120*a^3*b^9*c^11*d^15*e^2 + 41984*a^3*b^10*c^10*d^14*e^3 - 148736*a^3*b^11*c^9*d^13*e^4 + 296192
*a^3*b^12*c^8*d^12*e^5 - 359680*a^3*b^13*c^7*d^11*e^6 + 267520*a^3*b^14*c^6*d^10*e^7 - 112384*a^3*b^15*c^5*d^9
*e^8 + 18176*a^3*b^16*c^4*d^8*e^9 + 3328*a^3*b^17*c^3*d^7*e^10 - 1280*a^3*b^18*c^2*d^6*e^11 + 40960*a^4*b^7*c^
12*d^15*e^2 - 348160*a^4*b^8*c^11*d^14*e^3 + 1254400*a^4*b^9*c^10*d^13*e^4 - 2478080*a^4*b^10*c^9*d^12*e^5 + 2
867456*a^4*b^11*c^8*d^11*e^6 - 1862144*a^4*b^12*c^7*d^10*e^7 + 490240*a^4*b^13*c^6*d^9*e^8 + 128000*a^4*b^14*c
^5*d^8*e^9 - 108800*a^4*b^15*c^4*d^7*e^10 + 13824*a^4*b^16*c^3*d^6*e^11 + 2304*a^4*b^17*c^2*d^5*e^12 - 163840*
a^5*b^5*c^13*d^15*e^2 + 1474560*a^5*b^6*c^12*d^14*e^3 - 5447680*a^5*b^7*c^11*d^13*e^4 + 10588160*a^5*b^8*c^10*
d^12*e^5 - 11166720*a^5*b^9*c^9*d^11*e^6 + 5159936*a^5*b^10*c^8*d^10*e^7 + 1073920*a^5*b^11*c^7*d^9*e^8 - 2279
680*a^5*b^12*c^6*d^8*e^9 + 770560*a^5*b^13*c^5*d^7*e^10 + 33280*a^5*b^14*c^4*d^6*e^11 - 41216*a^5*b^15*c^3*d^5
*e^12 - 1280*a^5*b^16*c^2*d^4*e^13 + 327680*a^6*b^3*c^14*d^15*e^2 - 3276800*a^6*b^4*c^13*d^14*e^3 + 12615680*a
^6*b^5*c^12*d^13*e^4 - 23592960*a^6*b^6*c^11*d^12*e^5 + 19701760*a^6*b^7*c^10*d^11*e^6 + 1372160*a^6*b^8*c^9*d
^10*e^7 - 15846400*a^6*b^9*c^8*d^9*e^8 + 10864640*a^6*b^10*c^7*d^8*e^9 - 1352960*a^6*b^11*c^6*d^7*e^10 - 11110
40*a^6*b^12*c^5*d^6*e^11 + 273920*a^6*b^13*c^4*d^5*e^12 + 25600*a^6*b^14*c^3*d^4*e^13 - 1280*a^6*b^15*c^2*d^3*
e^14 + 3407872*a^7*b^2*c^14*d^14*e^3 - 14221312*a^7*b^3*c^13*d^13*e^4 + 23527424*a^7*b^4*c^12*d^12*e^5 - 37683
20*a^7*b^5*c^11*d^11*e^6 - 38895616*a^7*b^6*c^10*d^10*e^7 + 50126848*a^7*b^7*c^9*d^9*e^8 - 18362368*a^7*b^8*c^
8*d^8*e^9 - 6831104*a^7*b^9*c^7*d^7*e^10 + 6200320*a^7*b^10*c^6*d^6*e^11 - 726784*a^7*b^11*c^5*d^5*e^12 - 2286
08*a^7*b^12*c^4*d^4*e^13 + 31488*a^7*b^13*c^3*d^3*e^14 + 2304*a^7*b^14*c^2*d^2*e^15 - 3145728*a^8*b^2*c^13*d^1
2*e^5 - 31129600*a^8*b^3*c^12*d^11*e^6 + 74711040*a^8*b^4*c^11*d^10*e^7 - 55476224*a^8*b^5*c^10*d^9*e^8 - 1107
5584*a^8*b^6*c^9*d^8*e^9 + 35381248*a^8*b^7*c^8*d^7*e^10 - 14479360*a^8*b^8*c^7*d^6*e^11 - 168960*a^8*b^9*c^6*
d^5*e^12 + 1286144*a^8*b^10*c^5*d^4*e^13 - 302336*a^8*b^11*c^4*d^3*e^14 - 55808*a^8*b^12*c^3*d^2*e^15 - 369623
04*a^9*b^2*c^12*d^10*e^7 - 9502720*a^9*b^3*c^11*d^9*e^8 + 67174400*a^9*b^4*c^10*d^8*e^9 - 54886400*a^9*b^5*c^9
*d^7*e^10 + 11239424*a^9*b^6*c^8*d^6*e^11 + 5545984*a^9*b^7*c^7*d^5*e^12 - 5263360*a^9*b^8*c^6*d^4*e^13 + 1356
800*a^9*b^9*c^5*d^3*e^14 + 558080*a^9*b^10*c^4*d^2*e^15 - 49807360*a^10*b^2*c^11*d^8*e^9 + 19333120*a^10*b^3*c
^10*d^7*e^10 + 7208960*a^10*b^4*c^9*d^6*e^11 - 14974976*a^10*b^5*c^8*d^5*e^12 + 15073280*a^10*b^6*c^7*d^4*e^13
- 2170880*a^10*b^7*c^6*d^3*e^14 - 2928640*a^10*b^8*c^5*d^2*e^15 - 11796480*a^11*b^2*c^10*d^6*e^11 + 23920640*
a^11*b^3*c^9*d^5*e^12 - 24576000*a^11*b^4*c^8*d^4*e^13 - 4096000*a^11*b^5*c^7*d^3*e^14 + 8355840*a^11*b^6*c^6*
d^2*e^15 + 12582912*a^12*b^2*c^9*d^4*e^13 + 19857408*a^12*b^3*c^8*d^3*e^14 - 11534336*a^12*b^4*c^7*d^2*e^15 +
3407872*a^13*b^2*c^8*d^2*e^15 - 5505024*a^14*b*c^8*d*e^16 - 262144*a^7*b*c^15*d^15*e^2 + 5505024*a^8*b*c^14*d^
13*e^4 - 1280*a^8*b^13*c^2*d*e^16 + 25952256*a^9*b*c^13*d^11*e^6 + 30976*a^9*b^11*c^3*d*e^16 + 38010880*a^10*b
*c^12*d^9*e^8 - 312320*a^10*b^9*c^4*d*e^16 + 11796480*a^11*b*c^11*d^7*e^10 + 1679360*a^11*b^7*c^5*d*e^16 - 212
33664*a^12*b*c^10*d^5*e^12 - 5079040*a^12*b^5*c^6*d*e^16 - 20709376*a^13*b*c^9*d^3*e^14 + 8192000*a^13*b^3*c^7
*d*e^16))/(16*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)*(a^6*b^8*e^8 +
256*a^6*c^8*d^8 + 256*a^10*c^4*e^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^
8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4
*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 +
6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b
^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3
*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4
*e^4 - 128*a^6*b^5*c^3*d^3*e^5 + 512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5
- 1152*a^7*b^4*c^3*d^2*e^6 + 512*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b
*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e - 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^
4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^
3 - 384*a^7*b^5*c^2*d*e^7 - 3072*a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a
^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a^2*d*e^
4 + b^2*d^3*e^2 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2))))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*
c*d^4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)) - (x*(22800*a^6*c^9*e^13 + 36*a^2*b^8*c^5*e^13 - 600*a^3*b^6*c^6*e^1
3 + 4313*a^4*b^4*c^7*e^13 - 15592*a^5*b^2*c^8*e^13 + 1296*a^2*c^13*d^8*e^5 + 9792*a^3*c^12*d^6*e^7 + 30304*a^4
*c^11*d^4*e^9 + 40512*a^5*c^10*d^2*e^11 + 25*b^4*c^11*d^8*e^5 - 120*b^5*c^10*d^7*e^6 + 214*b^6*c^9*d^6*e^7 - 1
68*b^7*c^8*d^5*e^8 + 53*b^8*c^7*d^4*e^9 - 8*b^9*c^6*d^3*e^10 + 4*b^10*c^5*d^2*e^11 + 6336*a^2*b^2*c^11*d^6*e^7
+ 3840*a^2*b^3*c^10*d^5*e^8 - 8506*a^2*b^4*c^9*d^4*e^9 + 1112*a^2*b^5*c^8*d^3*e^10 + 1254*a^2*b^6*c^7*d^2*e^1
1 + 22224*a^3*b^2*c^10*d^4*e^9 + 13824*a^3*b^3*c^9*d^3*e^10 - 9516*a^3*b^4*c^8*d^2*e^11 + 11712*a^4*b^2*c^9*d^
2*e^11 - 24*a*b^9*c^5*d*e^12 - 41088*a^5*b*c^9*d*e^12 - 360*a*b^2*c^12*d^8*e^5 + 1664*a*b^3*c^11*d^7*e^6 - 260
4*a*b^4*c^10*d^6*e^7 + 1272*a*b^5*c^9*d^5*e^8 + 332*a*b^6*c^8*d^4*e^9 - 232*a*b^7*c^7*d^3*e^10 - 48*a*b^8*c^6*
d^2*e^11 - 5760*a^2*b*c^12*d^7*e^6 + 416*a^2*b^7*c^6*d*e^12 - 32128*a^3*b*c^11*d^5*e^8 - 4120*a^3*b^5*c^7*d*e^
12 - 63360*a^4*b*c^10*d^3*e^10 + 21376*a^4*b^3*c^8*d*e^12))/(8*(a^6*b^8*e^8 + 256*a^6*c^8*d^8 + 256*a^10*c^4*e
^8 - 16*a^7*b^6*c*e^8 - 4*a^5*b^9*d*e^7 + a^2*b^8*c^4*d^8 - 16*a^3*b^6*c^5*d^8 + 96*a^4*b^4*c^6*d^8 - 256*a^5*
b^2*c^7*d^8 + 96*a^8*b^4*c^2*e^8 - 256*a^9*b^2*c^3*e^8 + a^2*b^12*d^4*e^4 - 4*a^3*b^11*d^3*e^5 + 6*a^4*b^10*d^
2*e^6 + 1024*a^7*c^7*d^6*e^2 + 1536*a^8*c^6*d^4*e^4 + 1024*a^9*c^5*d^2*e^6 + 6*a^2*b^10*c^2*d^6*e^2 - 92*a^3*b
^8*c^3*d^6*e^2 + 52*a^3*b^9*c^2*d^5*e^3 + 512*a^4*b^6*c^4*d^6*e^2 - 192*a^4*b^7*c^3*d^5*e^3 - 90*a^4*b^8*c^2*d
^4*e^4 - 1152*a^5*b^4*c^5*d^6*e^2 - 128*a^5*b^5*c^4*d^5*e^3 + 800*a^5*b^6*c^3*d^4*e^4 - 192*a^5*b^7*c^2*d^3*e^
5 + 512*a^6*b^2*c^6*d^6*e^2 + 2048*a^6*b^3*c^5*d^5*e^3 - 2240*a^6*b^4*c^4*d^4*e^4 - 128*a^6*b^5*c^3*d^3*e^5 +
512*a^6*b^6*c^2*d^2*e^6 + 1536*a^7*b^2*c^5*d^4*e^4 + 2048*a^7*b^3*c^4*d^3*e^5 - 1152*a^7*b^4*c^3*d^2*e^6 + 512
*a^8*b^2*c^4*d^2*e^6 - 1024*a^6*b*c^7*d^7*e + 64*a^6*b^7*c*d*e^7 - 1024*a^9*b*c^4*d*e^7 - 4*a^2*b^9*c^3*d^7*e
- 4*a^2*b^11*c*d^5*e^3 + 64*a^3*b^7*c^4*d^7*e - 4*a^3*b^10*c*d^4*e^4 - 384*a^4*b^5*c^5*d^7*e + 52*a^4*b^9*c*d^
3*e^5 + 1024*a^5*b^3*c^6*d^7*e - 92*a^5*b^8*c*d^2*e^6 - 3072*a^7*b*c^6*d^5*e^3 - 384*a^7*b^5*c^2*d*e^7 - 3072*
a^8*b*c^5*d^3*e^5 + 1024*a^8*b^3*c^3*d*e^7)))*(-d*e^7)^(1/2))/(2*(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^
4*e - 2*a*b*d^2*e^3 + 2*a*c*d^3*e^2))))*(-d*e^7)^(1/2)*1i)/(c^2*d^5 + a^2*d*e^4 + b^2*d^3*e^2 - 2*b*c*d^4*e -
2*a*b*d^2*e^3 + 2*a*c*d^3*e^2)