3.2300 \(\int \frac {1}{(d+e x)^{3/2} (a+b x+c x^2)^2} \, dx\)

Optimal. Leaf size=604 \[ -\frac {e \left (-2 c e (5 a e+b d)+3 b^2 e^2+2 c^2 d^2\right )}{\left (b^2-4 a c\right ) \sqrt {d+e x} \left (a e^2-b d e+c d^2\right )^2}+\frac {\sqrt {c} \left (-2 c^2 d e \left (-d \sqrt {b^2-4 a c}-16 a e+6 b d\right )-2 c e^2 \left (b d \sqrt {b^2-4 a c}+5 a e \sqrt {b^2-4 a c}+8 a b e+b^2 d\right )+3 b^2 e^3 \left (\sqrt {b^2-4 a c}+b\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-e \left (b-\sqrt {b^2-4 a c}\right )}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-e \left (b-\sqrt {b^2-4 a c}\right )} \left (a e^2-b d e+c d^2\right )^2}-\frac {\sqrt {c} \left (-2 c^2 d e \left (d \sqrt {b^2-4 a c}-16 a e+6 b d\right )-2 c e^2 \left (-b d \sqrt {b^2-4 a c}-5 a e \sqrt {b^2-4 a c}+8 a b e+b^2 d\right )+3 b^2 e^3 \left (b-\sqrt {b^2-4 a c}\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )} \left (a e^2-b d e+c d^2\right )^2}-\frac {2 a c e+b^2 (-e)+c x (2 c d-b e)+b c d}{\left (b^2-4 a c\right ) \sqrt {d+e x} \left (a+b x+c x^2\right ) \left (a e^2-b d e+c d^2\right )} \]

[Out]

-e*(2*c^2*d^2+3*b^2*e^2-2*c*e*(5*a*e+b*d))/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)+(-b*c*d+b^2*e-2*a*
c*e-c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)/(e*x+d)^(1/2)+1/2*arctanh(2^(1/2)*c^(1/2)
*(e*x+d)^(1/2)/(2*c*d-e*(b-(-4*a*c+b^2)^(1/2)))^(1/2))*c^(1/2)*(8*c^3*d^3+3*b^2*e^3*(b+(-4*a*c+b^2)^(1/2))-2*c
^2*d*e*(6*b*d-16*a*e-d*(-4*a*c+b^2)^(1/2))-2*c*e^2*(b^2*d+8*a*b*e+b*d*(-4*a*c+b^2)^(1/2)+5*a*e*(-4*a*c+b^2)^(1
/2)))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/(2*c*d-e*(b-(-4*a*c+b^2)^(1/2)))^(1/2)-1/2*arctanh(2^(1
/2)*c^(1/2)*(e*x+d)^(1/2)/(2*c*d-e*(b+(-4*a*c+b^2)^(1/2)))^(1/2))*c^(1/2)*(8*c^3*d^3+3*b^2*e^3*(b-(-4*a*c+b^2)
^(1/2))-2*c^2*d*e*(6*b*d-16*a*e+d*(-4*a*c+b^2)^(1/2))-2*c*e^2*(b^2*d+8*a*b*e-b*d*(-4*a*c+b^2)^(1/2)-5*a*e*(-4*
a*c+b^2)^(1/2)))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^2*2^(1/2)/(2*c*d-e*(b+(-4*a*c+b^2)^(1/2)))^(1/2)

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Rubi [A]  time = 4.94, antiderivative size = 604, normalized size of antiderivative = 1.00, number of steps used = 6, number of rules used = 5, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.227, Rules used = {740, 828, 826, 1166, 208} \[ -\frac {e \left (-2 c e (5 a e+b d)+3 b^2 e^2+2 c^2 d^2\right )}{\left (b^2-4 a c\right ) \sqrt {d+e x} \left (a e^2-b d e+c d^2\right )^2}+\frac {\sqrt {c} \left (-2 c^2 d e \left (-d \sqrt {b^2-4 a c}-16 a e+6 b d\right )-2 c e^2 \left (b d \sqrt {b^2-4 a c}+5 a e \sqrt {b^2-4 a c}+8 a b e+b^2 d\right )+3 b^2 e^3 \left (\sqrt {b^2-4 a c}+b\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-e \left (b-\sqrt {b^2-4 a c}\right )}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-e \left (b-\sqrt {b^2-4 a c}\right )} \left (a e^2-b d e+c d^2\right )^2}-\frac {\sqrt {c} \left (-2 c^2 d e \left (d \sqrt {b^2-4 a c}-16 a e+6 b d\right )-2 c e^2 \left (-b d \sqrt {b^2-4 a c}-5 a e \sqrt {b^2-4 a c}+8 a b e+b^2 d\right )+3 b^2 e^3 \left (b-\sqrt {b^2-4 a c}\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )} \left (a e^2-b d e+c d^2\right )^2}-\frac {2 a c e+b^2 (-e)+c x (2 c d-b e)+b c d}{\left (b^2-4 a c\right ) \sqrt {d+e x} \left (a+b x+c x^2\right ) \left (a e^2-b d e+c d^2\right )} \]

Antiderivative was successfully verified.

[In]

Int[1/((d + e*x)^(3/2)*(a + b*x + c*x^2)^2),x]

[Out]

-((e*(2*c^2*d^2 + 3*b^2*e^2 - 2*c*e*(b*d + 5*a*e)))/((b^2 - 4*a*c)*(c*d^2 - b*d*e + a*e^2)^2*Sqrt[d + e*x])) -
(b*c*d - b^2*e + 2*a*c*e + c*(2*c*d - b*e)*x)/((b^2 - 4*a*c)*(c*d^2 - b*d*e + a*e^2)*Sqrt[d + e*x]*(a + b*x +
c*x^2)) + (Sqrt[c]*(8*c^3*d^3 + 3*b^2*(b + Sqrt[b^2 - 4*a*c])*e^3 - 2*c^2*d*e*(6*b*d - Sqrt[b^2 - 4*a*c]*d -
16*a*e) - 2*c*e^2*(b^2*d + b*Sqrt[b^2 - 4*a*c]*d + 8*a*b*e + 5*a*Sqrt[b^2 - 4*a*c]*e))*ArcTanh[(Sqrt[2]*Sqrt[c
]*Sqrt[d + e*x])/Sqrt[2*c*d - (b - Sqrt[b^2 - 4*a*c])*e]])/(Sqrt[2]*(b^2 - 4*a*c)^(3/2)*Sqrt[2*c*d - (b - Sqrt
[b^2 - 4*a*c])*e]*(c*d^2 - b*d*e + a*e^2)^2) - (Sqrt[c]*(8*c^3*d^3 + 3*b^2*(b - Sqrt[b^2 - 4*a*c])*e^3 - 2*c^2
*d*e*(6*b*d + Sqrt[b^2 - 4*a*c]*d - 16*a*e) - 2*c*e^2*(b^2*d - b*Sqrt[b^2 - 4*a*c]*d + 8*a*b*e - 5*a*Sqrt[b^2
- 4*a*c]*e))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]])/(Sqrt[2]*(b^2 -
4*a*c)^(3/2)*Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*(c*d^2 - b*d*e + a*e^2)^2)

Rule 208

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

Rule 740

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

Rule 826

Int[((f_.) + (g_.)*(x_))/(Sqrt[(d_.) + (e_.)*(x_)]*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)), x_Symbol] :> Dist[2,
Subst[Int[(e*f - d*g + g*x^2)/(c*d^2 - b*d*e + a*e^2 - (2*c*d - b*e)*x^2 + c*x^4), x], x, Sqrt[d + e*x]], x] /
; FreeQ[{a, b, c, d, e, f, g}, x] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - b*d*e + a*e^2, 0]

Rule 828

Int[(((d_.) + (e_.)*(x_))^(m_)*((f_.) + (g_.)*(x_)))/((a_.) + (b_.)*(x_) + (c_.)*(x_)^2), x_Symbol] :> Simp[((
e*f - d*g)*(d + e*x)^(m + 1))/((m + 1)*(c*d^2 - b*d*e + a*e^2)), x] + Dist[1/(c*d^2 - b*d*e + a*e^2), Int[((d
+ e*x)^(m + 1)*Simp[c*d*f - f*b*e + a*e*g - c*(e*f - d*g)*x, x])/(a + b*x + c*x^2), x], x] /; FreeQ[{a, b, c,
d, e, f, g, m}, x] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - b*d*e + a*e^2, 0] && FractionQ[m] && LtQ[m, -1]

Rule 1166

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]

Rubi steps

\begin {align*} \int \frac {1}{(d+e x)^{3/2} \left (a+b x+c x^2\right )^2} \, dx &=-\frac {b c d-b^2 e+2 a c e+c (2 c d-b e) x}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \sqrt {d+e x} \left (a+b x+c x^2\right )}-\frac {\int \frac {\frac {1}{2} \left (4 c^2 d^2-b c d e-3 b^2 e^2+10 a c e^2\right )+\frac {3}{2} c e (2 c d-b e) x}{(d+e x)^{3/2} \left (a+b x+c x^2\right )} \, dx}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )}\\ &=-\frac {e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right )}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2 \sqrt {d+e x}}-\frac {b c d-b^2 e+2 a c e+c (2 c d-b e) x}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \sqrt {d+e x} \left (a+b x+c x^2\right )}-\frac {\int \frac {\frac {1}{2} \left (4 c^3 d^3+3 b^3 e^3-c^2 d e (5 b d-16 a e)-b c e^2 (2 b d+13 a e)\right )+\frac {1}{2} c e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right ) x}{\sqrt {d+e x} \left (a+b x+c x^2\right )} \, dx}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right )}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2 \sqrt {d+e x}}-\frac {b c d-b^2 e+2 a c e+c (2 c d-b e) x}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \sqrt {d+e x} \left (a+b x+c x^2\right )}-\frac {2 \operatorname {Subst}\left (\int \frac {-\frac {1}{2} c d e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right )+\frac {1}{2} e \left (4 c^3 d^3+3 b^3 e^3-c^2 d e (5 b d-16 a e)-b c e^2 (2 b d+13 a e)\right )+\frac {1}{2} c e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right ) x^2}{c d^2-b d e+a e^2+(-2 c d+b e) x^2+c x^4} \, dx,x,\sqrt {d+e x}\right )}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right )}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2 \sqrt {d+e x}}-\frac {b c d-b^2 e+2 a c e+c (2 c d-b e) x}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \sqrt {d+e x} \left (a+b x+c x^2\right )}+\frac {\left (c \left (8 c^3 d^3+3 b^2 \left (b-\sqrt {b^2-4 a c}\right ) e^3-2 c^2 d e \left (6 b d+\sqrt {b^2-4 a c} d-16 a e\right )-2 c e^2 \left (b^2 d-b \sqrt {b^2-4 a c} d+8 a b e-5 a \sqrt {b^2-4 a c} e\right )\right )\right ) \operatorname {Subst}\left (\int \frac {1}{\frac {1}{2} \sqrt {b^2-4 a c} e+\frac {1}{2} (-2 c d+b e)+c x^2} \, dx,x,\sqrt {d+e x}\right )}{2 \left (b^2-4 a c\right )^{3/2} \left (c d^2-b d e+a e^2\right )^2}-\frac {\left (c \left (8 c^3 d^3+3 b^2 \left (b+\sqrt {b^2-4 a c}\right ) e^3-2 c^2 d e \left (6 b d-\sqrt {b^2-4 a c} d-16 a e\right )-2 c e^2 \left (b^2 d+b \sqrt {b^2-4 a c} d+8 a b e+5 a \sqrt {b^2-4 a c} e\right )\right )\right ) \operatorname {Subst}\left (\int \frac {1}{-\frac {1}{2} \sqrt {b^2-4 a c} e+\frac {1}{2} (-2 c d+b e)+c x^2} \, dx,x,\sqrt {d+e x}\right )}{2 \left (b^2-4 a c\right )^{3/2} \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {e \left (2 c^2 d^2+3 b^2 e^2-2 c e (b d+5 a e)\right )}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )^2 \sqrt {d+e x}}-\frac {b c d-b^2 e+2 a c e+c (2 c d-b e) x}{\left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \sqrt {d+e x} \left (a+b x+c x^2\right )}+\frac {\sqrt {c} \left (8 c^3 d^3+3 b^2 \left (b+\sqrt {b^2-4 a c}\right ) e^3-2 c^2 d e \left (6 b d-\sqrt {b^2-4 a c} d-16 a e\right )-2 c e^2 \left (b^2 d+b \sqrt {b^2-4 a c} d+8 a b e+5 a \sqrt {b^2-4 a c} e\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b d e+a e^2\right )^2}-\frac {\sqrt {c} \left (8 c^3 d^3+3 b^2 \left (b-\sqrt {b^2-4 a c}\right ) e^3-2 c^2 d e \left (6 b d+\sqrt {b^2-4 a c} d-16 a e\right )-2 c e^2 \left (b^2 d-b \sqrt {b^2-4 a c} d+8 a b e-5 a \sqrt {b^2-4 a c} e\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}\right )}{\sqrt {2} \left (b^2-4 a c\right )^{3/2} \sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b d e+a e^2\right )^2}\\ \end {align*}

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Mathematica [A]  time = 2.47, size = 552, normalized size = 0.91 \[ \frac {\frac {e \left (2 c e (5 a e+b d)-3 b^2 e^2-2 c^2 d^2\right )}{\sqrt {d+e x} \left (e (a e-b d)+c d^2\right )}-\frac {\sqrt {c} \left (\frac {\left (2 c^2 d e \left (d \sqrt {b^2-4 a c}+16 a e-6 b d\right )-2 c e^2 \left (b d \sqrt {b^2-4 a c}+5 a e \sqrt {b^2-4 a c}+8 a b e+b^2 d\right )+3 b^2 e^3 \left (\sqrt {b^2-4 a c}+b\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {e \sqrt {b^2-4 a c}-b e+2 c d}}\right )}{\sqrt {e \left (\sqrt {b^2-4 a c}-b\right )+2 c d}}-\frac {\left (-2 c^2 d e \left (d \sqrt {b^2-4 a c}-16 a e+6 b d\right )+2 c e^2 \left (b d \sqrt {b^2-4 a c}+5 a e \sqrt {b^2-4 a c}-8 a b e+b^2 (-d)\right )+3 b^2 e^3 \left (b-\sqrt {b^2-4 a c}\right )+8 c^3 d^3\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )}}\right )}{\sqrt {2 c d-e \left (\sqrt {b^2-4 a c}+b\right )}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \left (e (b d-a e)-c d^2\right )}+\frac {-2 c (a e+c d x)+b^2 e+b c (e x-d)}{\sqrt {d+e x} (a+x (b+c x))}}{\left (b^2-4 a c\right ) \left (e (a e-b d)+c d^2\right )} \]

Antiderivative was successfully verified.

[In]

Integrate[1/((d + e*x)^(3/2)*(a + b*x + c*x^2)^2),x]

[Out]

((e*(-2*c^2*d^2 - 3*b^2*e^2 + 2*c*e*(b*d + 5*a*e)))/((c*d^2 + e*(-(b*d) + a*e))*Sqrt[d + e*x]) + (b^2*e - 2*c*
(a*e + c*d*x) + b*c*(-d + e*x))/(Sqrt[d + e*x]*(a + x*(b + c*x))) - (Sqrt[c]*(((8*c^3*d^3 + 3*b^2*(b + Sqrt[b^
2 - 4*a*c])*e^3 + 2*c^2*d*e*(-6*b*d + Sqrt[b^2 - 4*a*c]*d + 16*a*e) - 2*c*e^2*(b^2*d + b*Sqrt[b^2 - 4*a*c]*d +
8*a*b*e + 5*a*Sqrt[b^2 - 4*a*c]*e))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - b*e + Sqrt[b^2 - 4*a
*c]*e]])/Sqrt[2*c*d + (-b + Sqrt[b^2 - 4*a*c])*e] - ((8*c^3*d^3 + 3*b^2*(b - Sqrt[b^2 - 4*a*c])*e^3 - 2*c^2*d*
e*(6*b*d + Sqrt[b^2 - 4*a*c]*d - 16*a*e) + 2*c*e^2*(-(b^2*d) + b*Sqrt[b^2 - 4*a*c]*d - 8*a*b*e + 5*a*Sqrt[b^2
- 4*a*c]*e))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]])/Sqrt[2*c*d - (b
+ Sqrt[b^2 - 4*a*c])*e]))/(Sqrt[2]*Sqrt[b^2 - 4*a*c]*(-(c*d^2) + e*(b*d - a*e))))/((b^2 - 4*a*c)*(c*d^2 + e*(
-(b*d) + a*e)))

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fricas [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm="fricas")

[Out]

Timed out

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giac [B]  time = 6.82, size = 5478, normalized size = 9.07 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm="giac")

[Out]

-(2*(x*e + d)^2*c^3*d^2*e - 2*(x*e + d)*c^3*d^3*e - 2*(x*e + d)^2*b*c^2*d*e^2 + 3*(x*e + d)*b*c^2*d^2*e^2 + 3*
(x*e + d)^2*b^2*c*e^3 - 10*(x*e + d)^2*a*c^2*e^3 - 7*(x*e + d)*b^2*c*d*e^3 + 22*(x*e + d)*a*c^2*d*e^3 + 2*b^2*
c*d^2*e^3 - 8*a*c^2*d^2*e^3 + 3*(x*e + d)*b^3*e^4 - 11*(x*e + d)*a*b*c*e^4 - 2*b^3*d*e^4 + 8*a*b*c*d*e^4 + 2*a
*b^2*e^5 - 8*a^2*c*e^5)/((b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*
c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4)*((x*e + d)^(5/2)*
c - 2*(x*e + d)^(3/2)*c*d + sqrt(x*e + d)*c*d^2 + (x*e + d)^(3/2)*b*e - sqrt(x*e + d)*b*d*e + sqrt(x*e + d)*a*
e^2)) - 1/8*((b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2 + 8*a*b*c^2*d^3*e^2 + b^4*d^2*e^3 - 2*a*b^2*c*d^
2*e^3 - 8*a^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 + a^2*b^2*e^5 - 4*a^3*c*e^5)^2*(2*c^2*d^2*e - 2*b*
c*d*e^2 + (3*b^2 - 10*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e) + 2*(2*sqrt(b^2 - 4*a*c)*c^5*
d^7*e - 7*sqrt(b^2 - 4*a*c)*b*c^4*d^6*e^2 + 3*(b^2*c^3 + 10*a*c^4)*sqrt(b^2 - 4*a*c)*d^5*e^3 + 5*(2*b^3*c^2 -
15*a*b*c^3)*sqrt(b^2 - 4*a*c)*d^4*e^4 - (11*b^4*c - 48*a*b^2*c^2 - 54*a^2*c^3)*sqrt(b^2 - 4*a*c)*d^3*e^5 + 3*(
b^5 + a*b^3*c - 27*a^2*b*c^2)*sqrt(b^2 - 4*a*c)*d^2*e^6 - (6*a*b^4 - 21*a^2*b^2*c - 26*a^3*c^2)*sqrt(b^2 - 4*a
*c)*d*e^7 + (3*a^2*b^3 - 13*a^3*b*c)*sqrt(b^2 - 4*a*c)*e^8)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*a
bs(b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2 + 8*a*b*c^2*d^3*e^2 + b^4*d^2*e^3 - 2*a*b^2*c*d^2*e^3 - 8*a
^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 + a^2*b^2*e^5 - 4*a^3*c*e^5) - (16*(b^2*c^8 - 4*a*c^9)*d^12*e
- 96*(b^3*c^7 - 4*a*b*c^8)*d^11*e^2 + 8*(29*b^4*c^6 - 100*a*b^2*c^7 - 64*a^2*c^8)*d^10*e^3 - 40*(7*b^5*c^5 -
12*a*b^3*c^6 - 64*a^2*b*c^7)*d^9*e^4 + (157*b^6*c^4 + 636*a*b^4*c^5 - 4704*a^2*b^2*c^6 - 1408*a^3*c^7)*d^8*e^5
- 4*(b^7*c^3 + 300*a*b^5*c^4 - 864*a^2*b^3*c^5 - 1408*a^3*b*c^6)*d^7*e^6 - 14*(3*b^8*c^2 - 50*a*b^6*c^3 + 576
*a^3*b^2*c^5 + 128*a^4*c^6)*d^6*e^7 + 4*(5*b^9*c - 27*a*b^7*c^2 - 336*a^2*b^5*c^3 + 1120*a^3*b^3*c^4 + 1344*a^
4*b*c^5)*d^5*e^8 - (3*b^10 + 40*a*b^8*c - 590*a^2*b^6*c^2 + 120*a^3*b^4*c^3 + 5360*a^4*b^2*c^4 + 1088*a^5*c^5)
*d^4*e^9 + 4*(3*a*b^9 - 7*a^2*b^7*c - 164*a^3*b^5*c^2 + 440*a^4*b^3*c^3 + 544*a^5*b*c^4)*d^3*e^10 - 2*(9*a^2*b
^8 - 62*a^3*b^6*c - 60*a^4*b^4*c^2 + 624*a^5*b^2*c^3 + 128*a^6*c^4)*d^2*e^11 + 4*(3*a^3*b^7 - 26*a^4*b^5*c + 4
0*a^5*b^3*c^2 + 64*a^6*b*c^3)*d*e^12 - (3*a^4*b^6 - 28*a^5*b^4*c + 64*a^6*b^2*c^2)*e^13)*sqrt(-4*c^2*d + 2*(b*
c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*b^2*c^3*d^5 - 8*a*c^4*d^5 - 5*b^3*c^2*d
^4*e + 20*a*b*c^3*d^4*e + 4*b^4*c*d^3*e^2 - 12*a*b^2*c^2*d^3*e^2 - 16*a^2*c^3*d^3*e^2 - b^5*d^2*e^3 - 2*a*b^3*
c*d^2*e^3 + 24*a^2*b*c^2*d^2*e^3 + 2*a*b^4*d*e^4 - 6*a^2*b^2*c*d*e^4 - 8*a^3*c^2*d*e^4 - a^2*b^3*e^5 + 4*a^3*b
*c*e^5 + sqrt((2*b^2*c^3*d^5 - 8*a*c^4*d^5 - 5*b^3*c^2*d^4*e + 20*a*b*c^3*d^4*e + 4*b^4*c*d^3*e^2 - 12*a*b^2*c
^2*d^3*e^2 - 16*a^2*c^3*d^3*e^2 - b^5*d^2*e^3 - 2*a*b^3*c*d^2*e^3 + 24*a^2*b*c^2*d^2*e^3 + 2*a*b^4*d*e^4 - 6*a
^2*b^2*c*d*e^4 - 8*a^3*c^2*d*e^4 - a^2*b^3*e^5 + 4*a^3*b*c*e^5)^2 - 4*(b^2*c^3*d^6 - 4*a*c^4*d^6 - 3*b^3*c^2*d
^5*e + 12*a*b*c^3*d^5*e + 3*b^4*c*d^4*e^2 - 9*a*b^2*c^2*d^4*e^2 - 12*a^2*c^3*d^4*e^2 - b^5*d^3*e^3 - 2*a*b^3*c
*d^3*e^3 + 24*a^2*b*c^2*d^3*e^3 + 3*a*b^4*d^2*e^4 - 9*a^2*b^2*c*d^2*e^4 - 12*a^3*c^2*d^2*e^4 - 3*a^2*b^3*d*e^5
+ 12*a^3*b*c*d*e^5 + a^3*b^2*e^6 - 4*a^4*c*e^6)*(b^2*c^3*d^4 - 4*a*c^4*d^4 - 2*b^3*c^2*d^3*e + 8*a*b*c^3*d^3*
e + b^4*c*d^2*e^2 - 2*a*b^2*c^2*d^2*e^2 - 8*a^2*c^3*d^2*e^2 - 2*a*b^3*c*d*e^3 + 8*a^2*b*c^2*d*e^3 + a^2*b^2*c*
e^4 - 4*a^3*c^2*e^4)))/(b^2*c^3*d^4 - 4*a*c^4*d^4 - 2*b^3*c^2*d^3*e + 8*a*b*c^3*d^3*e + b^4*c*d^2*e^2 - 2*a*b^
2*c^2*d^2*e^2 - 8*a^2*c^3*d^2*e^2 - 2*a*b^3*c*d*e^3 + 8*a^2*b*c^2*d*e^3 + a^2*b^2*c*e^4 - 4*a^3*c^2*e^4)))/(((
b^2*c^5 - 4*a*c^6)*sqrt(b^2 - 4*a*c)*d^10 - 5*(b^3*c^4 - 4*a*b*c^5)*sqrt(b^2 - 4*a*c)*d^9*e + 5*(2*b^4*c^3 - 7
*a*b^2*c^4 - 4*a^2*c^5)*sqrt(b^2 - 4*a*c)*d^8*e^2 - 10*(b^5*c^2 - 2*a*b^3*c^3 - 8*a^2*b*c^4)*sqrt(b^2 - 4*a*c)
*d^7*e^3 + 5*(b^6*c + 2*a*b^4*c^2 - 22*a^2*b^2*c^3 - 8*a^3*c^4)*sqrt(b^2 - 4*a*c)*d^6*e^4 - (b^7 + 16*a*b^5*c
- 50*a^2*b^3*c^2 - 120*a^3*b*c^3)*sqrt(b^2 - 4*a*c)*d^5*e^5 + 5*(a*b^6 + 2*a^2*b^4*c - 22*a^3*b^2*c^2 - 8*a^4*
c^3)*sqrt(b^2 - 4*a*c)*d^4*e^6 - 10*(a^2*b^5 - 2*a^3*b^3*c - 8*a^4*b*c^2)*sqrt(b^2 - 4*a*c)*d^3*e^7 + 5*(2*a^3
*b^4 - 7*a^4*b^2*c - 4*a^5*c^2)*sqrt(b^2 - 4*a*c)*d^2*e^8 - 5*(a^4*b^3 - 4*a^5*b*c)*sqrt(b^2 - 4*a*c)*d*e^9 +
(a^5*b^2 - 4*a^6*c)*sqrt(b^2 - 4*a*c)*e^10)*abs(b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2 + 8*a*b*c^2*d^
3*e^2 + b^4*d^2*e^3 - 2*a*b^2*c*d^2*e^3 - 8*a^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 + a^2*b^2*e^5 -
4*a^3*c*e^5)*abs(c)) + 1/8*((b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2 + 8*a*b*c^2*d^3*e^2 + b^4*d^2*e^3
- 2*a*b^2*c*d^2*e^3 - 8*a^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 + a^2*b^2*e^5 - 4*a^3*c*e^5)^2*(2*c
^2*d^2*e - 2*b*c*d*e^2 + (3*b^2 - 10*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e) - 2*(2*sqrt(b^
2 - 4*a*c)*c^5*d^7*e - 7*sqrt(b^2 - 4*a*c)*b*c^4*d^6*e^2 + 3*(b^2*c^3 + 10*a*c^4)*sqrt(b^2 - 4*a*c)*d^5*e^3 +
5*(2*b^3*c^2 - 15*a*b*c^3)*sqrt(b^2 - 4*a*c)*d^4*e^4 - (11*b^4*c - 48*a*b^2*c^2 - 54*a^2*c^3)*sqrt(b^2 - 4*a*c
)*d^3*e^5 + 3*(b^5 + a*b^3*c - 27*a^2*b*c^2)*sqrt(b^2 - 4*a*c)*d^2*e^6 - (6*a*b^4 - 21*a^2*b^2*c - 26*a^3*c^2)
*sqrt(b^2 - 4*a*c)*d*e^7 + (3*a^2*b^3 - 13*a^3*b*c)*sqrt(b^2 - 4*a*c)*e^8)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 -
4*a*c)*c)*e)*abs(b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2 + 8*a*b*c^2*d^3*e^2 + b^4*d^2*e^3 - 2*a*b^2*
c*d^2*e^3 - 8*a^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 + a^2*b^2*e^5 - 4*a^3*c*e^5) - (16*(b^2*c^8 -
4*a*c^9)*d^12*e - 96*(b^3*c^7 - 4*a*b*c^8)*d^11*e^2 + 8*(29*b^4*c^6 - 100*a*b^2*c^7 - 64*a^2*c^8)*d^10*e^3 - 4
0*(7*b^5*c^5 - 12*a*b^3*c^6 - 64*a^2*b*c^7)*d^9*e^4 + (157*b^6*c^4 + 636*a*b^4*c^5 - 4704*a^2*b^2*c^6 - 1408*a
^3*c^7)*d^8*e^5 - 4*(b^7*c^3 + 300*a*b^5*c^4 - 864*a^2*b^3*c^5 - 1408*a^3*b*c^6)*d^7*e^6 - 14*(3*b^8*c^2 - 50*
a*b^6*c^3 + 576*a^3*b^2*c^5 + 128*a^4*c^6)*d^6*e^7 + 4*(5*b^9*c - 27*a*b^7*c^2 - 336*a^2*b^5*c^3 + 1120*a^3*b^
3*c^4 + 1344*a^4*b*c^5)*d^5*e^8 - (3*b^10 + 40*a*b^8*c - 590*a^2*b^6*c^2 + 120*a^3*b^4*c^3 + 5360*a^4*b^2*c^4
+ 1088*a^5*c^5)*d^4*e^9 + 4*(3*a*b^9 - 7*a^2*b^7*c - 164*a^3*b^5*c^2 + 440*a^4*b^3*c^3 + 544*a^5*b*c^4)*d^3*e^
10 - 2*(9*a^2*b^8 - 62*a^3*b^6*c - 60*a^4*b^4*c^2 + 624*a^5*b^2*c^3 + 128*a^6*c^4)*d^2*e^11 + 4*(3*a^3*b^7 - 2
6*a^4*b^5*c + 40*a^5*b^3*c^2 + 64*a^6*b*c^3)*d*e^12 - (3*a^4*b^6 - 28*a^5*b^4*c + 64*a^6*b^2*c^2)*e^13)*sqrt(-
4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*b^2*c^3*d^5 - 8*a*c^4*d^
5 - 5*b^3*c^2*d^4*e + 20*a*b*c^3*d^4*e + 4*b^4*c*d^3*e^2 - 12*a*b^2*c^2*d^3*e^2 - 16*a^2*c^3*d^3*e^2 - b^5*d^2
*e^3 - 2*a*b^3*c*d^2*e^3 + 24*a^2*b*c^2*d^2*e^3 + 2*a*b^4*d*e^4 - 6*a^2*b^2*c*d*e^4 - 8*a^3*c^2*d*e^4 - a^2*b^
3*e^5 + 4*a^3*b*c*e^5 - sqrt((2*b^2*c^3*d^5 - 8*a*c^4*d^5 - 5*b^3*c^2*d^4*e + 20*a*b*c^3*d^4*e + 4*b^4*c*d^3*e
^2 - 12*a*b^2*c^2*d^3*e^2 - 16*a^2*c^3*d^3*e^2 - b^5*d^2*e^3 - 2*a*b^3*c*d^2*e^3 + 24*a^2*b*c^2*d^2*e^3 + 2*a*
b^4*d*e^4 - 6*a^2*b^2*c*d*e^4 - 8*a^3*c^2*d*e^4 - a^2*b^3*e^5 + 4*a^3*b*c*e^5)^2 - 4*(b^2*c^3*d^6 - 4*a*c^4*d^
6 - 3*b^3*c^2*d^5*e + 12*a*b*c^3*d^5*e + 3*b^4*c*d^4*e^2 - 9*a*b^2*c^2*d^4*e^2 - 12*a^2*c^3*d^4*e^2 - b^5*d^3*
e^3 - 2*a*b^3*c*d^3*e^3 + 24*a^2*b*c^2*d^3*e^3 + 3*a*b^4*d^2*e^4 - 9*a^2*b^2*c*d^2*e^4 - 12*a^3*c^2*d^2*e^4 -
3*a^2*b^3*d*e^5 + 12*a^3*b*c*d*e^5 + a^3*b^2*e^6 - 4*a^4*c*e^6)*(b^2*c^3*d^4 - 4*a*c^4*d^4 - 2*b^3*c^2*d^3*e +
8*a*b*c^3*d^3*e + b^4*c*d^2*e^2 - 2*a*b^2*c^2*d^2*e^2 - 8*a^2*c^3*d^2*e^2 - 2*a*b^3*c*d*e^3 + 8*a^2*b*c^2*d*e
^3 + a^2*b^2*c*e^4 - 4*a^3*c^2*e^4)))/(b^2*c^3*d^4 - 4*a*c^4*d^4 - 2*b^3*c^2*d^3*e + 8*a*b*c^3*d^3*e + b^4*c*d
^2*e^2 - 2*a*b^2*c^2*d^2*e^2 - 8*a^2*c^3*d^2*e^2 - 2*a*b^3*c*d*e^3 + 8*a^2*b*c^2*d*e^3 + a^2*b^2*c*e^4 - 4*a^3
*c^2*e^4)))/(((b^2*c^5 - 4*a*c^6)*sqrt(b^2 - 4*a*c)*d^10 - 5*(b^3*c^4 - 4*a*b*c^5)*sqrt(b^2 - 4*a*c)*d^9*e + 5
*(2*b^4*c^3 - 7*a*b^2*c^4 - 4*a^2*c^5)*sqrt(b^2 - 4*a*c)*d^8*e^2 - 10*(b^5*c^2 - 2*a*b^3*c^3 - 8*a^2*b*c^4)*sq
rt(b^2 - 4*a*c)*d^7*e^3 + 5*(b^6*c + 2*a*b^4*c^2 - 22*a^2*b^2*c^3 - 8*a^3*c^4)*sqrt(b^2 - 4*a*c)*d^6*e^4 - (b^
7 + 16*a*b^5*c - 50*a^2*b^3*c^2 - 120*a^3*b*c^3)*sqrt(b^2 - 4*a*c)*d^5*e^5 + 5*(a*b^6 + 2*a^2*b^4*c - 22*a^3*b
^2*c^2 - 8*a^4*c^3)*sqrt(b^2 - 4*a*c)*d^4*e^6 - 10*(a^2*b^5 - 2*a^3*b^3*c - 8*a^4*b*c^2)*sqrt(b^2 - 4*a*c)*d^3
*e^7 + 5*(2*a^3*b^4 - 7*a^4*b^2*c - 4*a^5*c^2)*sqrt(b^2 - 4*a*c)*d^2*e^8 - 5*(a^4*b^3 - 4*a^5*b*c)*sqrt(b^2 -
4*a*c)*d*e^9 + (a^5*b^2 - 4*a^6*c)*sqrt(b^2 - 4*a*c)*e^10)*abs(b^2*c^2*d^4*e - 4*a*c^3*d^4*e - 2*b^3*c*d^3*e^2
+ 8*a*b*c^2*d^3*e^2 + b^4*d^2*e^3 - 2*a*b^2*c*d^2*e^3 - 8*a^2*c^2*d^2*e^3 - 2*a*b^3*d*e^4 + 8*a^2*b*c*d*e^4 +
a^2*b^2*e^5 - 4*a^3*c*e^5)*abs(c))

________________________________________________________________________________________

maple [B]  time = 0.15, size = 3212, normalized size = 5.32 \[ \text {output too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x)

[Out]

-3/2*e^4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(
1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^3+8*e^4/(a*e^2
-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2
)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*b-16*e^3/(a*e^2-b*d*e+c*d^2
)^2/(4*a*c-b^2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((
e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d-4*e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b
^2)*c^4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2
^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^3-e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2*2^(1/2)
/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1
/2))*c)^(1/2)*c)*b*d-3/2*e^4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d
+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1
/2)*c)*b^3+e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*a
rctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-4*e/(a*e^2-b*d*e+c*d^2)^2/
(4*a*c-b^2)*c^4/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+
d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^3-16*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^
2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^
(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a*d+e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2/(-(4*a*c
-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c
*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d+e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1
/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*
c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2*d+6*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1
/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e
^2)^(1/2))*c)^(1/2)*c)*b*d^2+8*e^4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((-b
*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2
))*c)^(1/2)*c)*a*b+6*e^2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^3/(-(4*a*c-b^2)*e^2)^(1/2)*2^(1/2)/((b*e-2*c*d+(-
(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c
)*b*d^2-2*e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(1/2)+3*e^2/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)/(4*a*c
-b^2)*(e*x+d)^(1/2)*b*c^2*d^2-e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^3*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^
(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2+6*e^3/(a*
e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)/(4*a*c-b^2)*(e*x+d)^(1/2)*c^2*a*d+e/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-
b^2)*c^3*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*
a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-3*e^3/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)/(4*a*c-b^2)*(e*x+d)
^(1/2)*b^2*c*d-5*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c^2*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1
/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-2*e^2/(a*e^2-b*d*e+c*d^2)
^2/(c*e^2*x^2+b*e^2*x+a*e^2)*c^2/(4*a*c-b^2)*(e*x+d)^(3/2)*b*d-3*e^4/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+
a*e^2)/(4*a*c-b^2)*(e*x+d)^(1/2)*a*b*c-3/2*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c*2^(1/2)/((-b*e+2*c*d+(-(4*a
*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*
b^2+3/2*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan(
(e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+5*e^3/(a*e^2-b*d*e+c*d^2)^2/(4*a*c
-b^2)*c^2*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(
-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a+e^4/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)/(4*a*c-b^2)*(e*x+d)
^(1/2)*b^3-2*e^3/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*c^2/(4*a*c-b^2)*(e*x+d)^(3/2)*a+e^3/(a*e^2-b*
d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)*c/(4*a*c-b^2)*(e*x+d)^(3/2)*b^2+2*e/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*
e^2*x+a*e^2)*c^3/(4*a*c-b^2)*(e*x+d)^(3/2)*d^2-2*e/(a*e^2-b*d*e+c*d^2)^2/(c*e^2*x^2+b*e^2*x+a*e^2)/(4*a*c-b^2)
*(e*x+d)^(1/2)*c^3*d^3

________________________________________________________________________________________

maxima [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {1}{{\left (c x^{2} + b x + a\right )}^{2} {\left (e x + d\right )}^{\frac {3}{2}}}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm="maxima")

[Out]

integrate(1/((c*x^2 + b*x + a)^2*(e*x + d)^(3/2)), x)

________________________________________________________________________________________

mupad [B]  time = 19.16, size = 126405, normalized size = 209.28 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/((d + e*x)^(3/2)*(a + b*x + c*x^2)^2),x)

[Out]

((e*(d + e*x)^2*(2*c^3*d^2 - 10*a*c^2*e^2 + 3*b^2*c*e^2 - 2*b*c^2*d*e))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)
^2) - (2*e^3)/(a*e^2 + c*d^2 - b*d*e) + (e*(b*e - 2*c*d)*(d + e*x)*(3*b^2*e^2 + c^2*d^2 - 11*a*c*e^2 - b*c*d*e
))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)^2))/(c*(d + e*x)^(5/2) + (b*e - 2*c*d)*(d + e*x)^(3/2) + (d + e*x)^(
1/2)*(a*e^2 + c*d^2 - b*d*e)) - atan((((d + e*x)^(1/2)*(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b
^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e
^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 -
1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 - 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16
+ 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9
*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^1
1*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^
18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144
384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^
12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a
^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 +
270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*
d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 16055
68*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 + 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^
7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*
c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 -
5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b
^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 +
19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^
12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065
344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 - 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^
5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6
*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7
*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*
b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^
13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b
^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15
- 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c
^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 778
24*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*
a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 3304
0*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 159
2*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560
*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2
424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13
+ 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^
3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - ((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c
- b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2
*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 -
25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 +
35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 21
3*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3
*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3
*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 5
1*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e +
21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*
e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800
*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*
d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^
2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a
*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^
4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^
8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10
*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^
2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 49
0*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560
*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 128
00*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 19
20*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 -
32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 +
10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5
+ 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e
^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d
^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6
*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a
^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d
^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235
*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^
7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5
*d*e^9)))^(1/2)*((d + e*x)^(1/2)*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)
^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c
^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2
*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^
9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^
11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 -
1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 +
12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^
2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3
*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 -
98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b
*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^
5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^
(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*
c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 24
0*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*
e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b
^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8
+ 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*
b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b
^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4
*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4
*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*
a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240
*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 716
80*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 1
02400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8
+ 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e
^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*
c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e -
90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b
^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*
d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9
)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 192
0*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*
c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^
10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13762560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 +
2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 + 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*
b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7
*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12
- 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 40320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*
e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a
^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 90720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*
e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*
c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 255
3600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12
*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^1
1 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*
c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 68
09600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10
*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e
^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^
4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 +
1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^
6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41158656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14
*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 13
99776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c
^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353
600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*
c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11
*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056
000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17 - 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*
e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 1304
98560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^
7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 + 11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7
*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 3552
0*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 82575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*
d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^
12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*
a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 - 367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4
*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600
*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b
^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42240000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^
17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b
^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c
^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^
17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^1
0*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 - 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c
^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19
+ 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a
^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 + 15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d
^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 43
00800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*
d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*
c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*
b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^
6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9
+ 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d
^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a
^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 -
983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22) - 53248*a^14*b*c^8*e^22 + 106496*a^14*c^9*d*e^21 - 1
2*a^8*b^13*c^2*e^22 + 292*a^9*b^11*c^3*e^22 - 2960*a^10*b^9*c^4*e^22 + 16000*a^11*b^7*c^5*e^22 - 48640*a^12*b^
5*c^6*e^22 + 78848*a^13*b^3*c^7*e^22 + 8192*a^5*c^18*d^19*e^3 + 172032*a^6*c^17*d^17*e^5 + 1081344*a^7*c^16*d^
15*e^7 + 3440640*a^8*c^15*d^13*e^9 + 6537216*a^9*c^14*d^11*e^11 + 7913472*a^10*c^13*d^9*e^13 + 6193152*a^11*c^
12*d^7*e^15 + 3047424*a^12*c^11*d^5*e^17 + 860160*a^13*c^10*d^3*e^19 - 8*b^10*c^13*d^19*e^3 + 76*b^11*c^12*d^1
8*e^4 - 300*b^12*c^11*d^17*e^5 + 612*b^13*c^10*d^16*e^6 - 576*b^14*c^9*d^15*e^7 - 168*b^15*c^8*d^14*e^8 + 1176
*b^16*c^7*d^13*e^9 - 1560*b^17*c^6*d^12*e^10 + 1128*b^18*c^5*d^11*e^11 - 484*b^19*c^4*d^10*e^12 + 116*b^20*c^3
*d^9*e^13 - 12*b^21*c^2*d^8*e^14 - 1280*a^2*b^6*c^15*d^19*e^3 + 12160*a^2*b^7*c^14*d^18*e^4 - 44640*a^2*b^8*c^
13*d^17*e^5 + 69360*a^2*b^9*c^12*d^16*e^6 + 10464*a^2*b^10*c^11*d^15*e^7 - 225360*a^2*b^11*c^10*d^14*e^8 + 398
160*a^2*b^12*c^9*d^13*e^9 - 336960*a^2*b^13*c^8*d^12*e^10 + 123696*a^2*b^14*c^7*d^11*e^11 + 18656*a^2*b^15*c^6
*d^10*e^12 - 33520*a^2*b^16*c^5*d^9*e^13 + 9360*a^2*b^17*c^4*d^8*e^14 + 240*a^2*b^18*c^3*d^7*e^15 - 336*a^2*b^
19*c^2*d^6*e^16 + 5120*a^3*b^4*c^16*d^19*e^3 - 48640*a^3*b^5*c^15*d^18*e^4 + 165120*a^3*b^6*c^14*d^17*e^5 - 16
3200*a^3*b^7*c^13*d^16*e^6 - 439680*a^3*b^8*c^12*d^15*e^7 + 1600320*a^3*b^9*c^11*d^14*e^8 - 2133600*a^3*b^10*c
^10*d^13*e^9 + 1194960*a^3*b^11*c^9*d^12*e^10 + 193344*a^3*b^12*c^8*d^11*e^11 - 640112*a^3*b^13*c^7*d^10*e^12
+ 295360*a^3*b^14*c^6*d^9*e^13 - 5520*a^3*b^15*c^5*d^8*e^14 - 27840*a^3*b^16*c^4*d^7*e^15 + 3696*a^3*b^17*c^3*
d^6*e^16 + 672*a^3*b^18*c^2*d^5*e^17 - 10240*a^4*b^2*c^17*d^19*e^3 + 97280*a^4*b^3*c^16*d^18*e^4 - 276480*a^4*
b^4*c^15*d^17*e^5 - 130560*a^4*b^5*c^14*d^16*e^6 + 2411520*a^4*b^6*c^13*d^15*e^7 - 5552640*a^4*b^7*c^12*d^14*e
^8 + 5066880*a^4*b^8*c^11*d^13*e^9 + 361920*a^4*b^9*c^10*d^12*e^10 - 4744944*a^4*b^10*c^9*d^11*e^11 + 3629032*
a^4*b^11*c^8*d^10*e^12 - 467240*a^4*b^12*c^7*d^9*e^13 - 623160*a^4*b^13*c^6*d^8*e^14 + 233760*a^4*b^14*c^5*d^7
*e^15 + 17304*a^4*b^15*c^4*d^6*e^16 - 11592*a^4*b^16*c^3*d^5*e^17 - 840*a^4*b^17*c^2*d^4*e^18 + 92160*a^5*b^2*
c^16*d^17*e^5 + 1201152*a^5*b^3*c^15*d^16*e^6 - 5369856*a^5*b^4*c^14*d^15*e^7 + 8312832*a^5*b^5*c^13*d^14*e^8
- 666624*a^5*b^6*c^12*d^13*e^9 - 14476800*a^5*b^7*c^11*d^12*e^10 + 18111168*a^5*b^8*c^10*d^11*e^11 - 5528864*a
^5*b^9*c^9*d^10*e^12 - 5015312*a^5*b^10*c^8*d^9*e^13 + 4081464*a^5*b^11*c^7*d^8*e^14 - 312000*a^5*b^12*c^6*d^7
*e^15 - 431088*a^5*b^13*c^5*d^6*e^16 + 53424*a^5*b^14*c^4*d^5*e^17 + 17304*a^5*b^15*c^3*d^4*e^18 + 672*a^5*b^1
6*c^2*d^3*e^19 + 3956736*a^6*b^2*c^15*d^15*e^7 - 430080*a^6*b^3*c^14*d^14*e^8 - 18063360*a^6*b^4*c^13*d^13*e^9
+ 35223552*a^6*b^5*c^12*d^12*e^10 - 19342848*a^6*b^6*c^11*d^11*e^11 - 16617216*a^6*b^7*c^10*d^10*e^12 + 25932
480*a^6*b^8*c^9*d^9*e^13 - 7442400*a^6*b^9*c^8*d^8*e^14 - 4193952*a^6*b^10*c^7*d^7*e^15 + 2232048*a^6*b^11*c^6
*d^6*e^16 + 181776*a^6*b^12*c^5*d^5*e^17 - 131040*a^6*b^13*c^4*d^4*e^18 - 15120*a^6*b^14*c^3*d^3*e^19 - 336*a^
6*b^15*c^2*d^2*e^20 + 21504000*a^7*b^2*c^14*d^13*e^9 - 16773120*a^7*b^3*c^13*d^12*e^10 - 27224064*a^7*b^4*c^12
*d^11*e^11 + 63630336*a^7*b^5*c^11*d^10*e^12 - 35535360*a^7*b^6*c^10*d^9*e^13 - 14204160*a^7*b^7*c^9*d^8*e^14
+ 20488320*a^7*b^8*c^8*d^7*e^15 - 2821056*a^7*b^9*c^7*d^6*e^16 - 2536416*a^7*b^10*c^6*d^5*e^17 + 356880*a^7*b^
11*c^5*d^4*e^18 + 135360*a^7*b^12*c^4*d^3*e^19 + 7920*a^7*b^13*c^3*d^2*e^20 + 52383744*a^8*b^2*c^13*d^11*e^11
- 42104832*a^8*b^3*c^12*d^10*e^12 - 26234880*a^8*b^4*c^11*d^9*e^13 + 64834560*a^8*b^5*c^10*d^8*e^14 - 26772480
*a^8*b^6*c^9*d^7*e^15 - 11579904*a^8*b^7*c^8*d^6*e^16 + 8456832*a^8*b^8*c^7*d^5*e^17 + 603840*a^8*b^9*c^6*d^4*
e^18 - 584520*a^8*b^10*c^5*d^3*e^19 - 76500*a^8*b^11*c^4*d^2*e^20 + 70103040*a^9*b^2*c^12*d^9*e^13 - 45803520*
a^9*b^3*c^11*d^8*e^14 - 21934080*a^9*b^4*c^10*d^7*e^15 + 38836224*a^9*b^5*c^9*d^6*e^16 - 7314432*a^9*b^6*c^8*d
^5*e^17 - 5905920*a^9*b^7*c^7*d^4*e^18 + 1030560*a^9*b^8*c^6*d^3*e^19 + 381840*a^9*b^9*c^5*d^2*e^20 + 54190080
*a^10*b^2*c^11*d^7*e^15 - 23482368*a^10*b^3*c^10*d^6*e^16 - 14524416*a^10*b^4*c^9*d^5*e^17 + 11925504*a^10*b^5
*c^8*d^4*e^18 + 713472*a^10*b^6*c^7*d^3*e^19 - 996480*a^10*b^7*c^6*d^2*e^20 + 23371776*a^11*b^2*c^10*d^5*e^17
- 4239360*a^11*b^3*c^9*d^4*e^18 - 5114880*a^11*b^4*c^8*d^3*e^19 + 1073664*a^11*b^5*c^7*d^2*e^20 + 4823040*a^12
*b^2*c^9*d^3*e^19 + 384000*a^12*b^3*c^8*d^2*e^20 + 160*a*b^8*c^14*d^19*e^3 - 1520*a*b^9*c^13*d^18*e^4 + 5832*a
*b^10*c^12*d^17*e^5 - 10812*a*b^11*c^11*d^16*e^6 + 6336*a*b^12*c^10*d^15*e^7 + 13680*a*b^13*c^9*d^14*e^8 - 352
80*a*b^14*c^8*d^13*e^9 + 37752*a*b^15*c^7*d^12*e^10 - 21888*a*b^16*c^6*d^11*e^11 + 5984*a*b^17*c^5*d^10*e^12 +
200*a*b^18*c^4*d^9*e^13 - 540*a*b^19*c^3*d^8*e^14 + 96*a*b^20*c^2*d^7*e^15 - 77824*a^5*b*c^17*d^18*e^4 - 1462
272*a^6*b*c^16*d^16*e^6 - 8110080*a^7*b*c^15*d^14*e^8 + 96*a^7*b^14*c^2*d*e^21 - 22364160*a^8*b*c^14*d^12*e^10
- 2316*a^8*b^12*c^3*d*e^21 - 35954688*a^9*b*c^13*d^10*e^12 + 23176*a^9*b^10*c^4*d*e^21 - 35610624*a^10*b*c^12
*d^8*e^14 - 122720*a^10*b^8*c^5*d*e^21 - 21676032*a^11*b*c^11*d^6*e^16 + 359680*a^11*b^6*c^6*d*e^21 - 7618560*
a^12*b*c^10*d^4*e^18 - 538624*a^12*b^4*c^7*d*e^21 - 1290240*a^13*b*c^9*d^2*e^20 + 272384*a^13*b^2*c^8*d*e^21))
*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 -
26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 +
10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2
) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*
e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 134
4*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168
*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 448
00*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2)
+ 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2
) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*
b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5
*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*
b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*
a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 +
5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^
6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3
840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8
*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*
c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*
c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*
c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8
*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^
4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*
b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6
*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a
^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 1254
40*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 8
1920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*
b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e
^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^
3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^
9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5
- 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i + ((d + e*x)^(1/2)*
(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^
6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4
- 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 - 1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12
- 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16 + 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 57
6*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^
10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^11*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11
+ 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^
2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6
+ 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10
*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 99
88*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 + 270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e
^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b
^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 1605568*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11
+ 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^
5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*
a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 - 5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d
^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*
a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 + 19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^1
7 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^
4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13
- 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c
^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 -
333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c
^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 156282
88*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^
9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592
*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15 - 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3
*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^
9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 77824*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a
*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*
a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 33040*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 140
20*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 1592*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a
*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 10
8*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 -
21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13 + 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e
^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - ((32*b^6*c^7*d^7
- 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e
^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3
*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9
*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2
*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5
*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*
e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^
2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7
*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6
*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5
418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^
5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(
4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4
096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6
- 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840
*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e
^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*
c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 228
0*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 116
00*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490
*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14
560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 1
5360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 +
8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3
- 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^
7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^
4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*
d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 +
120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c
^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e +
220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^
6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*
c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*((d + e*x)^(1/2)*((32*b^6*c^7*d^7 - 204
8*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 5
3760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 -
30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e
^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e
^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 +
10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 -
35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5
+ 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e
- 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e
^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^
2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^
7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c
- b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^
11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^
4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b
^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 -
6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^
6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*
b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3
*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b
^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^
4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a
^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*
a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 1254
40*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11
600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6
- 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^
7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^
5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7
*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a
^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*
c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*
e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^2
3 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1920*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a
^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*
c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 1376
2560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 + 2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20
+ 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^1
6*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13
*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 4
0320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c
^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 9
0720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4
*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3
*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2553600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17
*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 184800
0*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^11 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*
d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4
*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 6809600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17
*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845
600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15
*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680
*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 + 1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^
19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 4115
8656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^
11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 1399776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9
*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^
18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*
e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470
400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*
b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17
- 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^
3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 130498560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^
13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 +
11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*
b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35520*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 8
2575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*
a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8
*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 -
367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*
d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^
12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 4224
0000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c
^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 -
242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914
240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c
^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^10*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14
- 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 2141798
4*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19 + 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*
d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 +
15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13
*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 4300800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*
e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^1
2*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b
^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*
b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067
520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9 + 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^
11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b
*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372
800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 - 983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^2
2) + 53248*a^14*b*c^8*e^22 - 106496*a^14*c^9*d*e^21 + 12*a^8*b^13*c^2*e^22 - 292*a^9*b^11*c^3*e^22 + 2960*a^10
*b^9*c^4*e^22 - 16000*a^11*b^7*c^5*e^22 + 48640*a^12*b^5*c^6*e^22 - 78848*a^13*b^3*c^7*e^22 - 8192*a^5*c^18*d^
19*e^3 - 172032*a^6*c^17*d^17*e^5 - 1081344*a^7*c^16*d^15*e^7 - 3440640*a^8*c^15*d^13*e^9 - 6537216*a^9*c^14*d
^11*e^11 - 7913472*a^10*c^13*d^9*e^13 - 6193152*a^11*c^12*d^7*e^15 - 3047424*a^12*c^11*d^5*e^17 - 860160*a^13*
c^10*d^3*e^19 + 8*b^10*c^13*d^19*e^3 - 76*b^11*c^12*d^18*e^4 + 300*b^12*c^11*d^17*e^5 - 612*b^13*c^10*d^16*e^6
+ 576*b^14*c^9*d^15*e^7 + 168*b^15*c^8*d^14*e^8 - 1176*b^16*c^7*d^13*e^9 + 1560*b^17*c^6*d^12*e^10 - 1128*b^1
8*c^5*d^11*e^11 + 484*b^19*c^4*d^10*e^12 - 116*b^20*c^3*d^9*e^13 + 12*b^21*c^2*d^8*e^14 + 1280*a^2*b^6*c^15*d^
19*e^3 - 12160*a^2*b^7*c^14*d^18*e^4 + 44640*a^2*b^8*c^13*d^17*e^5 - 69360*a^2*b^9*c^12*d^16*e^6 - 10464*a^2*b
^10*c^11*d^15*e^7 + 225360*a^2*b^11*c^10*d^14*e^8 - 398160*a^2*b^12*c^9*d^13*e^9 + 336960*a^2*b^13*c^8*d^12*e^
10 - 123696*a^2*b^14*c^7*d^11*e^11 - 18656*a^2*b^15*c^6*d^10*e^12 + 33520*a^2*b^16*c^5*d^9*e^13 - 9360*a^2*b^1
7*c^4*d^8*e^14 - 240*a^2*b^18*c^3*d^7*e^15 + 336*a^2*b^19*c^2*d^6*e^16 - 5120*a^3*b^4*c^16*d^19*e^3 + 48640*a^
3*b^5*c^15*d^18*e^4 - 165120*a^3*b^6*c^14*d^17*e^5 + 163200*a^3*b^7*c^13*d^16*e^6 + 439680*a^3*b^8*c^12*d^15*e
^7 - 1600320*a^3*b^9*c^11*d^14*e^8 + 2133600*a^3*b^10*c^10*d^13*e^9 - 1194960*a^3*b^11*c^9*d^12*e^10 - 193344*
a^3*b^12*c^8*d^11*e^11 + 640112*a^3*b^13*c^7*d^10*e^12 - 295360*a^3*b^14*c^6*d^9*e^13 + 5520*a^3*b^15*c^5*d^8*
e^14 + 27840*a^3*b^16*c^4*d^7*e^15 - 3696*a^3*b^17*c^3*d^6*e^16 - 672*a^3*b^18*c^2*d^5*e^17 + 10240*a^4*b^2*c^
17*d^19*e^3 - 97280*a^4*b^3*c^16*d^18*e^4 + 276480*a^4*b^4*c^15*d^17*e^5 + 130560*a^4*b^5*c^14*d^16*e^6 - 2411
520*a^4*b^6*c^13*d^15*e^7 + 5552640*a^4*b^7*c^12*d^14*e^8 - 5066880*a^4*b^8*c^11*d^13*e^9 - 361920*a^4*b^9*c^1
0*d^12*e^10 + 4744944*a^4*b^10*c^9*d^11*e^11 - 3629032*a^4*b^11*c^8*d^10*e^12 + 467240*a^4*b^12*c^7*d^9*e^13 +
623160*a^4*b^13*c^6*d^8*e^14 - 233760*a^4*b^14*c^5*d^7*e^15 - 17304*a^4*b^15*c^4*d^6*e^16 + 11592*a^4*b^16*c^
3*d^5*e^17 + 840*a^4*b^17*c^2*d^4*e^18 - 92160*a^5*b^2*c^16*d^17*e^5 - 1201152*a^5*b^3*c^15*d^16*e^6 + 5369856
*a^5*b^4*c^14*d^15*e^7 - 8312832*a^5*b^5*c^13*d^14*e^8 + 666624*a^5*b^6*c^12*d^13*e^9 + 14476800*a^5*b^7*c^11*
d^12*e^10 - 18111168*a^5*b^8*c^10*d^11*e^11 + 5528864*a^5*b^9*c^9*d^10*e^12 + 5015312*a^5*b^10*c^8*d^9*e^13 -
4081464*a^5*b^11*c^7*d^8*e^14 + 312000*a^5*b^12*c^6*d^7*e^15 + 431088*a^5*b^13*c^5*d^6*e^16 - 53424*a^5*b^14*c
^4*d^5*e^17 - 17304*a^5*b^15*c^3*d^4*e^18 - 672*a^5*b^16*c^2*d^3*e^19 - 3956736*a^6*b^2*c^15*d^15*e^7 + 430080
*a^6*b^3*c^14*d^14*e^8 + 18063360*a^6*b^4*c^13*d^13*e^9 - 35223552*a^6*b^5*c^12*d^12*e^10 + 19342848*a^6*b^6*c
^11*d^11*e^11 + 16617216*a^6*b^7*c^10*d^10*e^12 - 25932480*a^6*b^8*c^9*d^9*e^13 + 7442400*a^6*b^9*c^8*d^8*e^14
+ 4193952*a^6*b^10*c^7*d^7*e^15 - 2232048*a^6*b^11*c^6*d^6*e^16 - 181776*a^6*b^12*c^5*d^5*e^17 + 131040*a^6*b
^13*c^4*d^4*e^18 + 15120*a^6*b^14*c^3*d^3*e^19 + 336*a^6*b^15*c^2*d^2*e^20 - 21504000*a^7*b^2*c^14*d^13*e^9 +
16773120*a^7*b^3*c^13*d^12*e^10 + 27224064*a^7*b^4*c^12*d^11*e^11 - 63630336*a^7*b^5*c^11*d^10*e^12 + 35535360
*a^7*b^6*c^10*d^9*e^13 + 14204160*a^7*b^7*c^9*d^8*e^14 - 20488320*a^7*b^8*c^8*d^7*e^15 + 2821056*a^7*b^9*c^7*d
^6*e^16 + 2536416*a^7*b^10*c^6*d^5*e^17 - 356880*a^7*b^11*c^5*d^4*e^18 - 135360*a^7*b^12*c^4*d^3*e^19 - 7920*a
^7*b^13*c^3*d^2*e^20 - 52383744*a^8*b^2*c^13*d^11*e^11 + 42104832*a^8*b^3*c^12*d^10*e^12 + 26234880*a^8*b^4*c^
11*d^9*e^13 - 64834560*a^8*b^5*c^10*d^8*e^14 + 26772480*a^8*b^6*c^9*d^7*e^15 + 11579904*a^8*b^7*c^8*d^6*e^16 -
8456832*a^8*b^8*c^7*d^5*e^17 - 603840*a^8*b^9*c^6*d^4*e^18 + 584520*a^8*b^10*c^5*d^3*e^19 + 76500*a^8*b^11*c^
4*d^2*e^20 - 70103040*a^9*b^2*c^12*d^9*e^13 + 45803520*a^9*b^3*c^11*d^8*e^14 + 21934080*a^9*b^4*c^10*d^7*e^15
- 38836224*a^9*b^5*c^9*d^6*e^16 + 7314432*a^9*b^6*c^8*d^5*e^17 + 5905920*a^9*b^7*c^7*d^4*e^18 - 1030560*a^9*b^
8*c^6*d^3*e^19 - 381840*a^9*b^9*c^5*d^2*e^20 - 54190080*a^10*b^2*c^11*d^7*e^15 + 23482368*a^10*b^3*c^10*d^6*e^
16 + 14524416*a^10*b^4*c^9*d^5*e^17 - 11925504*a^10*b^5*c^8*d^4*e^18 - 713472*a^10*b^6*c^7*d^3*e^19 + 996480*a
^10*b^7*c^6*d^2*e^20 - 23371776*a^11*b^2*c^10*d^5*e^17 + 4239360*a^11*b^3*c^9*d^4*e^18 + 5114880*a^11*b^4*c^8*
d^3*e^19 - 1073664*a^11*b^5*c^7*d^2*e^20 - 4823040*a^12*b^2*c^9*d^3*e^19 - 384000*a^12*b^3*c^8*d^2*e^20 - 160*
a*b^8*c^14*d^19*e^3 + 1520*a*b^9*c^13*d^18*e^4 - 5832*a*b^10*c^12*d^17*e^5 + 10812*a*b^11*c^11*d^16*e^6 - 6336
*a*b^12*c^10*d^15*e^7 - 13680*a*b^13*c^9*d^14*e^8 + 35280*a*b^14*c^8*d^13*e^9 - 37752*a*b^15*c^7*d^12*e^10 + 2
1888*a*b^16*c^6*d^11*e^11 - 5984*a*b^17*c^5*d^10*e^12 - 200*a*b^18*c^4*d^9*e^13 + 540*a*b^19*c^3*d^8*e^14 - 96
*a*b^20*c^2*d^7*e^15 + 77824*a^5*b*c^17*d^18*e^4 + 1462272*a^6*b*c^16*d^16*e^6 + 8110080*a^7*b*c^15*d^14*e^8 -
96*a^7*b^14*c^2*d*e^21 + 22364160*a^8*b*c^14*d^12*e^10 + 2316*a^8*b^12*c^3*d*e^21 + 35954688*a^9*b*c^13*d^10*
e^12 - 23176*a^9*b^10*c^4*d*e^21 + 35610624*a^10*b*c^12*d^8*e^14 + 122720*a^10*b^8*c^5*d*e^21 + 21676032*a^11*
b*c^11*d^6*e^16 - 359680*a^11*b^6*c^6*d*e^21 + 7618560*a^12*b*c^10*d^4*e^18 + 538624*a^12*b^4*c^7*d*e^21 + 129
0240*a^13*b*c^9*d^2*e^20 - 272384*a^13*b^2*c^8*d*e^21))*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*
b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6
*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a
^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*
b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b
^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 784
0*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 1792
0*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c -
b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a
^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 12
60*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*
c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d
*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*
e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^
17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e
+ 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*
d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*
b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 +
20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11
*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*
c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*
c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10
*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b
^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b
^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^
6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*
a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32
000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 +
10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^1
0*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1
200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^
5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*
e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 +
30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i)/(((d + e*x)^(1/2)*(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b
^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e
^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 -
1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 - 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16
+ 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9
*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^1
1*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^
18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144
384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^
12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a
^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 +
270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*
d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 16055
68*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 + 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^
7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*
c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 -
5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b
^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 +
19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^
12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065
344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 - 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^
5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6
*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7
*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*
b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^
13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b
^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15
- 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c
^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 778
24*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*
a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 3304
0*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 159
2*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560
*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2
424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13
+ 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^
3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - ((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c
- b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2
*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 -
25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 +
35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 21
3*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3
*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3
*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 5
1*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e +
21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*
e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800
*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*
d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^
2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a
*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^
4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^
8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10
*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^
2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 49
0*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560
*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 128
00*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 19
20*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 -
32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 +
10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5
+ 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e
^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d
^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6
*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a
^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d
^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235
*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^
7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5
*d*e^9)))^(1/2)*((d + e*x)^(1/2)*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)
^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c
^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2
*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^
9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^
11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 -
1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 +
12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^
2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3
*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 -
98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b
*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^
5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^
(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*
c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 24
0*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*
e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b
^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8
+ 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*
b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b
^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4
*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4
*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*
a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240
*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 716
80*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 1
02400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8
+ 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e
^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*
c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e -
90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b
^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*
d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9
)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 192
0*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*
c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^
10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13762560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 +
2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 + 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*
b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7
*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12
- 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 40320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*
e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a
^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 90720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*
e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*
c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 255
3600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12
*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^1
1 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*
c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 68
09600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10
*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e
^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^
4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 +
1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^
6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41158656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14
*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 13
99776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c
^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353
600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*
c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11
*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056
000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17 - 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*
e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 1304
98560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^
7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 + 11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7
*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 3552
0*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 82575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*
d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^
12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*
a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 - 367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4
*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600
*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b
^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42240000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^
17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b
^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c
^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^
17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^1
0*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 - 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c
^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19
+ 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a
^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 + 15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d
^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 43
00800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*
d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*
c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*
b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^
6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9
+ 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d
^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a
^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 -
983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22) - 53248*a^14*b*c^8*e^22 + 106496*a^14*c^9*d*e^21 - 1
2*a^8*b^13*c^2*e^22 + 292*a^9*b^11*c^3*e^22 - 2960*a^10*b^9*c^4*e^22 + 16000*a^11*b^7*c^5*e^22 - 48640*a^12*b^
5*c^6*e^22 + 78848*a^13*b^3*c^7*e^22 + 8192*a^5*c^18*d^19*e^3 + 172032*a^6*c^17*d^17*e^5 + 1081344*a^7*c^16*d^
15*e^7 + 3440640*a^8*c^15*d^13*e^9 + 6537216*a^9*c^14*d^11*e^11 + 7913472*a^10*c^13*d^9*e^13 + 6193152*a^11*c^
12*d^7*e^15 + 3047424*a^12*c^11*d^5*e^17 + 860160*a^13*c^10*d^3*e^19 - 8*b^10*c^13*d^19*e^3 + 76*b^11*c^12*d^1
8*e^4 - 300*b^12*c^11*d^17*e^5 + 612*b^13*c^10*d^16*e^6 - 576*b^14*c^9*d^15*e^7 - 168*b^15*c^8*d^14*e^8 + 1176
*b^16*c^7*d^13*e^9 - 1560*b^17*c^6*d^12*e^10 + 1128*b^18*c^5*d^11*e^11 - 484*b^19*c^4*d^10*e^12 + 116*b^20*c^3
*d^9*e^13 - 12*b^21*c^2*d^8*e^14 - 1280*a^2*b^6*c^15*d^19*e^3 + 12160*a^2*b^7*c^14*d^18*e^4 - 44640*a^2*b^8*c^
13*d^17*e^5 + 69360*a^2*b^9*c^12*d^16*e^6 + 10464*a^2*b^10*c^11*d^15*e^7 - 225360*a^2*b^11*c^10*d^14*e^8 + 398
160*a^2*b^12*c^9*d^13*e^9 - 336960*a^2*b^13*c^8*d^12*e^10 + 123696*a^2*b^14*c^7*d^11*e^11 + 18656*a^2*b^15*c^6
*d^10*e^12 - 33520*a^2*b^16*c^5*d^9*e^13 + 9360*a^2*b^17*c^4*d^8*e^14 + 240*a^2*b^18*c^3*d^7*e^15 - 336*a^2*b^
19*c^2*d^6*e^16 + 5120*a^3*b^4*c^16*d^19*e^3 - 48640*a^3*b^5*c^15*d^18*e^4 + 165120*a^3*b^6*c^14*d^17*e^5 - 16
3200*a^3*b^7*c^13*d^16*e^6 - 439680*a^3*b^8*c^12*d^15*e^7 + 1600320*a^3*b^9*c^11*d^14*e^8 - 2133600*a^3*b^10*c
^10*d^13*e^9 + 1194960*a^3*b^11*c^9*d^12*e^10 + 193344*a^3*b^12*c^8*d^11*e^11 - 640112*a^3*b^13*c^7*d^10*e^12
+ 295360*a^3*b^14*c^6*d^9*e^13 - 5520*a^3*b^15*c^5*d^8*e^14 - 27840*a^3*b^16*c^4*d^7*e^15 + 3696*a^3*b^17*c^3*
d^6*e^16 + 672*a^3*b^18*c^2*d^5*e^17 - 10240*a^4*b^2*c^17*d^19*e^3 + 97280*a^4*b^3*c^16*d^18*e^4 - 276480*a^4*
b^4*c^15*d^17*e^5 - 130560*a^4*b^5*c^14*d^16*e^6 + 2411520*a^4*b^6*c^13*d^15*e^7 - 5552640*a^4*b^7*c^12*d^14*e
^8 + 5066880*a^4*b^8*c^11*d^13*e^9 + 361920*a^4*b^9*c^10*d^12*e^10 - 4744944*a^4*b^10*c^9*d^11*e^11 + 3629032*
a^4*b^11*c^8*d^10*e^12 - 467240*a^4*b^12*c^7*d^9*e^13 - 623160*a^4*b^13*c^6*d^8*e^14 + 233760*a^4*b^14*c^5*d^7
*e^15 + 17304*a^4*b^15*c^4*d^6*e^16 - 11592*a^4*b^16*c^3*d^5*e^17 - 840*a^4*b^17*c^2*d^4*e^18 + 92160*a^5*b^2*
c^16*d^17*e^5 + 1201152*a^5*b^3*c^15*d^16*e^6 - 5369856*a^5*b^4*c^14*d^15*e^7 + 8312832*a^5*b^5*c^13*d^14*e^8
- 666624*a^5*b^6*c^12*d^13*e^9 - 14476800*a^5*b^7*c^11*d^12*e^10 + 18111168*a^5*b^8*c^10*d^11*e^11 - 5528864*a
^5*b^9*c^9*d^10*e^12 - 5015312*a^5*b^10*c^8*d^9*e^13 + 4081464*a^5*b^11*c^7*d^8*e^14 - 312000*a^5*b^12*c^6*d^7
*e^15 - 431088*a^5*b^13*c^5*d^6*e^16 + 53424*a^5*b^14*c^4*d^5*e^17 + 17304*a^5*b^15*c^3*d^4*e^18 + 672*a^5*b^1
6*c^2*d^3*e^19 + 3956736*a^6*b^2*c^15*d^15*e^7 - 430080*a^6*b^3*c^14*d^14*e^8 - 18063360*a^6*b^4*c^13*d^13*e^9
+ 35223552*a^6*b^5*c^12*d^12*e^10 - 19342848*a^6*b^6*c^11*d^11*e^11 - 16617216*a^6*b^7*c^10*d^10*e^12 + 25932
480*a^6*b^8*c^9*d^9*e^13 - 7442400*a^6*b^9*c^8*d^8*e^14 - 4193952*a^6*b^10*c^7*d^7*e^15 + 2232048*a^6*b^11*c^6
*d^6*e^16 + 181776*a^6*b^12*c^5*d^5*e^17 - 131040*a^6*b^13*c^4*d^4*e^18 - 15120*a^6*b^14*c^3*d^3*e^19 - 336*a^
6*b^15*c^2*d^2*e^20 + 21504000*a^7*b^2*c^14*d^13*e^9 - 16773120*a^7*b^3*c^13*d^12*e^10 - 27224064*a^7*b^4*c^12
*d^11*e^11 + 63630336*a^7*b^5*c^11*d^10*e^12 - 35535360*a^7*b^6*c^10*d^9*e^13 - 14204160*a^7*b^7*c^9*d^8*e^14
+ 20488320*a^7*b^8*c^8*d^7*e^15 - 2821056*a^7*b^9*c^7*d^6*e^16 - 2536416*a^7*b^10*c^6*d^5*e^17 + 356880*a^7*b^
11*c^5*d^4*e^18 + 135360*a^7*b^12*c^4*d^3*e^19 + 7920*a^7*b^13*c^3*d^2*e^20 + 52383744*a^8*b^2*c^13*d^11*e^11
- 42104832*a^8*b^3*c^12*d^10*e^12 - 26234880*a^8*b^4*c^11*d^9*e^13 + 64834560*a^8*b^5*c^10*d^8*e^14 - 26772480
*a^8*b^6*c^9*d^7*e^15 - 11579904*a^8*b^7*c^8*d^6*e^16 + 8456832*a^8*b^8*c^7*d^5*e^17 + 603840*a^8*b^9*c^6*d^4*
e^18 - 584520*a^8*b^10*c^5*d^3*e^19 - 76500*a^8*b^11*c^4*d^2*e^20 + 70103040*a^9*b^2*c^12*d^9*e^13 - 45803520*
a^9*b^3*c^11*d^8*e^14 - 21934080*a^9*b^4*c^10*d^7*e^15 + 38836224*a^9*b^5*c^9*d^6*e^16 - 7314432*a^9*b^6*c^8*d
^5*e^17 - 5905920*a^9*b^7*c^7*d^4*e^18 + 1030560*a^9*b^8*c^6*d^3*e^19 + 381840*a^9*b^9*c^5*d^2*e^20 + 54190080
*a^10*b^2*c^11*d^7*e^15 - 23482368*a^10*b^3*c^10*d^6*e^16 - 14524416*a^10*b^4*c^9*d^5*e^17 + 11925504*a^10*b^5
*c^8*d^4*e^18 + 713472*a^10*b^6*c^7*d^3*e^19 - 996480*a^10*b^7*c^6*d^2*e^20 + 23371776*a^11*b^2*c^10*d^5*e^17
- 4239360*a^11*b^3*c^9*d^4*e^18 - 5114880*a^11*b^4*c^8*d^3*e^19 + 1073664*a^11*b^5*c^7*d^2*e^20 + 4823040*a^12
*b^2*c^9*d^3*e^19 + 384000*a^12*b^3*c^8*d^2*e^20 + 160*a*b^8*c^14*d^19*e^3 - 1520*a*b^9*c^13*d^18*e^4 + 5832*a
*b^10*c^12*d^17*e^5 - 10812*a*b^11*c^11*d^16*e^6 + 6336*a*b^12*c^10*d^15*e^7 + 13680*a*b^13*c^9*d^14*e^8 - 352
80*a*b^14*c^8*d^13*e^9 + 37752*a*b^15*c^7*d^12*e^10 - 21888*a*b^16*c^6*d^11*e^11 + 5984*a*b^17*c^5*d^10*e^12 +
200*a*b^18*c^4*d^9*e^13 - 540*a*b^19*c^3*d^8*e^14 + 96*a*b^20*c^2*d^7*e^15 - 77824*a^5*b*c^17*d^18*e^4 - 1462
272*a^6*b*c^16*d^16*e^6 - 8110080*a^7*b*c^15*d^14*e^8 + 96*a^7*b^14*c^2*d*e^21 - 22364160*a^8*b*c^14*d^12*e^10
- 2316*a^8*b^12*c^3*d*e^21 - 35954688*a^9*b*c^13*d^10*e^12 + 23176*a^9*b^10*c^4*d*e^21 - 35610624*a^10*b*c^12
*d^8*e^14 - 122720*a^10*b^8*c^5*d*e^21 - 21676032*a^11*b*c^11*d^6*e^16 + 359680*a^11*b^6*c^6*d*e^21 - 7618560*
a^12*b*c^10*d^4*e^18 - 538624*a^12*b^4*c^7*d*e^21 - 1290240*a^13*b*c^9*d^2*e^20 + 272384*a^13*b^2*c^8*d*e^21))
*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 -
26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 +
10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2
) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*
e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 134
4*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168
*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 448
00*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2)
+ 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2
) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*
b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5
*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*
b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*
a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 +
5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^
6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3
840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8
*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*
c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*
c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*
c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8
*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^
4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*
b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6
*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a
^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 1254
40*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 8
1920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*
b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e
^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^
3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^
9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5
- 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(25
600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e
^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 3
27680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 - 1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 -
819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16 + 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b
^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*
d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^11*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 3
62*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b
^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 2
97472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^
9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*
a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 + 270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4
- 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*
c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 1605568*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 +
96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d
^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4
*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 - 5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10
*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4
*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 + 19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 +
270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c
^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 -
1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*
d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333
568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*
d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*
a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d
^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^
8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15 - 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^
17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b
^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 77824*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^
5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b
^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 33040*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*
a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 1592*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^
17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a
^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21
952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13 + 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15
- 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - ((32*b^6*c^7*d^7 -
2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7
+ 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^
7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^
5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^
2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^
2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2
- 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e
^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^
6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^
5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418
*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b
*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a
*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096
*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5
*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^
4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10
- 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9
*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a
^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*
a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^
3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560
*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 1536
0*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 80
00*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 1
25440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 -
11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e
^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3
*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120
*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*
d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 22
0*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b
^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4
*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*((d + e*x)^(1/2)*((32*b^6*c^7*d^7 - 2048*a
^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 5376
0*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30
240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2
- 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5
+ 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10
080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 358
40*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 1
4*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e -
532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2
- 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b
^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d
^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b
^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*
c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b
^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*
c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 614
4*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e
^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^1
0*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^
8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12
*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b
^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*
b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5
*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*
a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600
*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 1
5360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 -
42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b
^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^
3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*
b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2
*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9
- 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23 -
8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1920*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^14
*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c^1
7*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 1376256
0*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 + 2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 + 1
6*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c
^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^
10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 4032
0*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^11
*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 9072
0*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*d^
10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*b^
7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2553600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*e^
6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000*a
^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^11 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d^1
0*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*b^
5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 6809600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*e^
6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845600
*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*c^
6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*a^
4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 + 1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^19*
e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 4115865
6*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^11*
c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 1399776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*e^
14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^18*
c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e^7
- 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470400
*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b^1
2*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17 -
38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3*c
^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 130498560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^13*
e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 + 11
728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b^1
3*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35520*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 8257
5360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a^8
*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*c^
9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 - 36
7920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d^2
*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^12
+ 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 4224000
0*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^5*
d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 242
221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914240
*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^6*
d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^10*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 - 1
54828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984*a
^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19 + 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d^2
*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 + 15
697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*b^
2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 4300800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e^2
1 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12*d
^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^16
*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b^2
1*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067520
*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9 + 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^11
- 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*c^
12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372800
*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 - 983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22)
+ 53248*a^14*b*c^8*e^22 - 106496*a^14*c^9*d*e^21 + 12*a^8*b^13*c^2*e^22 - 292*a^9*b^11*c^3*e^22 + 2960*a^10*b^
9*c^4*e^22 - 16000*a^11*b^7*c^5*e^22 + 48640*a^12*b^5*c^6*e^22 - 78848*a^13*b^3*c^7*e^22 - 8192*a^5*c^18*d^19*
e^3 - 172032*a^6*c^17*d^17*e^5 - 1081344*a^7*c^16*d^15*e^7 - 3440640*a^8*c^15*d^13*e^9 - 6537216*a^9*c^14*d^11
*e^11 - 7913472*a^10*c^13*d^9*e^13 - 6193152*a^11*c^12*d^7*e^15 - 3047424*a^12*c^11*d^5*e^17 - 860160*a^13*c^1
0*d^3*e^19 + 8*b^10*c^13*d^19*e^3 - 76*b^11*c^12*d^18*e^4 + 300*b^12*c^11*d^17*e^5 - 612*b^13*c^10*d^16*e^6 +
576*b^14*c^9*d^15*e^7 + 168*b^15*c^8*d^14*e^8 - 1176*b^16*c^7*d^13*e^9 + 1560*b^17*c^6*d^12*e^10 - 1128*b^18*c
^5*d^11*e^11 + 484*b^19*c^4*d^10*e^12 - 116*b^20*c^3*d^9*e^13 + 12*b^21*c^2*d^8*e^14 + 1280*a^2*b^6*c^15*d^19*
e^3 - 12160*a^2*b^7*c^14*d^18*e^4 + 44640*a^2*b^8*c^13*d^17*e^5 - 69360*a^2*b^9*c^12*d^16*e^6 - 10464*a^2*b^10
*c^11*d^15*e^7 + 225360*a^2*b^11*c^10*d^14*e^8 - 398160*a^2*b^12*c^9*d^13*e^9 + 336960*a^2*b^13*c^8*d^12*e^10
- 123696*a^2*b^14*c^7*d^11*e^11 - 18656*a^2*b^15*c^6*d^10*e^12 + 33520*a^2*b^16*c^5*d^9*e^13 - 9360*a^2*b^17*c
^4*d^8*e^14 - 240*a^2*b^18*c^3*d^7*e^15 + 336*a^2*b^19*c^2*d^6*e^16 - 5120*a^3*b^4*c^16*d^19*e^3 + 48640*a^3*b
^5*c^15*d^18*e^4 - 165120*a^3*b^6*c^14*d^17*e^5 + 163200*a^3*b^7*c^13*d^16*e^6 + 439680*a^3*b^8*c^12*d^15*e^7
- 1600320*a^3*b^9*c^11*d^14*e^8 + 2133600*a^3*b^10*c^10*d^13*e^9 - 1194960*a^3*b^11*c^9*d^12*e^10 - 193344*a^3
*b^12*c^8*d^11*e^11 + 640112*a^3*b^13*c^7*d^10*e^12 - 295360*a^3*b^14*c^6*d^9*e^13 + 5520*a^3*b^15*c^5*d^8*e^1
4 + 27840*a^3*b^16*c^4*d^7*e^15 - 3696*a^3*b^17*c^3*d^6*e^16 - 672*a^3*b^18*c^2*d^5*e^17 + 10240*a^4*b^2*c^17*
d^19*e^3 - 97280*a^4*b^3*c^16*d^18*e^4 + 276480*a^4*b^4*c^15*d^17*e^5 + 130560*a^4*b^5*c^14*d^16*e^6 - 2411520
*a^4*b^6*c^13*d^15*e^7 + 5552640*a^4*b^7*c^12*d^14*e^8 - 5066880*a^4*b^8*c^11*d^13*e^9 - 361920*a^4*b^9*c^10*d
^12*e^10 + 4744944*a^4*b^10*c^9*d^11*e^11 - 3629032*a^4*b^11*c^8*d^10*e^12 + 467240*a^4*b^12*c^7*d^9*e^13 + 62
3160*a^4*b^13*c^6*d^8*e^14 - 233760*a^4*b^14*c^5*d^7*e^15 - 17304*a^4*b^15*c^4*d^6*e^16 + 11592*a^4*b^16*c^3*d
^5*e^17 + 840*a^4*b^17*c^2*d^4*e^18 - 92160*a^5*b^2*c^16*d^17*e^5 - 1201152*a^5*b^3*c^15*d^16*e^6 + 5369856*a^
5*b^4*c^14*d^15*e^7 - 8312832*a^5*b^5*c^13*d^14*e^8 + 666624*a^5*b^6*c^12*d^13*e^9 + 14476800*a^5*b^7*c^11*d^1
2*e^10 - 18111168*a^5*b^8*c^10*d^11*e^11 + 5528864*a^5*b^9*c^9*d^10*e^12 + 5015312*a^5*b^10*c^8*d^9*e^13 - 408
1464*a^5*b^11*c^7*d^8*e^14 + 312000*a^5*b^12*c^6*d^7*e^15 + 431088*a^5*b^13*c^5*d^6*e^16 - 53424*a^5*b^14*c^4*
d^5*e^17 - 17304*a^5*b^15*c^3*d^4*e^18 - 672*a^5*b^16*c^2*d^3*e^19 - 3956736*a^6*b^2*c^15*d^15*e^7 + 430080*a^
6*b^3*c^14*d^14*e^8 + 18063360*a^6*b^4*c^13*d^13*e^9 - 35223552*a^6*b^5*c^12*d^12*e^10 + 19342848*a^6*b^6*c^11
*d^11*e^11 + 16617216*a^6*b^7*c^10*d^10*e^12 - 25932480*a^6*b^8*c^9*d^9*e^13 + 7442400*a^6*b^9*c^8*d^8*e^14 +
4193952*a^6*b^10*c^7*d^7*e^15 - 2232048*a^6*b^11*c^6*d^6*e^16 - 181776*a^6*b^12*c^5*d^5*e^17 + 131040*a^6*b^13
*c^4*d^4*e^18 + 15120*a^6*b^14*c^3*d^3*e^19 + 336*a^6*b^15*c^2*d^2*e^20 - 21504000*a^7*b^2*c^14*d^13*e^9 + 167
73120*a^7*b^3*c^13*d^12*e^10 + 27224064*a^7*b^4*c^12*d^11*e^11 - 63630336*a^7*b^5*c^11*d^10*e^12 + 35535360*a^
7*b^6*c^10*d^9*e^13 + 14204160*a^7*b^7*c^9*d^8*e^14 - 20488320*a^7*b^8*c^8*d^7*e^15 + 2821056*a^7*b^9*c^7*d^6*
e^16 + 2536416*a^7*b^10*c^6*d^5*e^17 - 356880*a^7*b^11*c^5*d^4*e^18 - 135360*a^7*b^12*c^4*d^3*e^19 - 7920*a^7*
b^13*c^3*d^2*e^20 - 52383744*a^8*b^2*c^13*d^11*e^11 + 42104832*a^8*b^3*c^12*d^10*e^12 + 26234880*a^8*b^4*c^11*
d^9*e^13 - 64834560*a^8*b^5*c^10*d^8*e^14 + 26772480*a^8*b^6*c^9*d^7*e^15 + 11579904*a^8*b^7*c^8*d^6*e^16 - 84
56832*a^8*b^8*c^7*d^5*e^17 - 603840*a^8*b^9*c^6*d^4*e^18 + 584520*a^8*b^10*c^5*d^3*e^19 + 76500*a^8*b^11*c^4*d
^2*e^20 - 70103040*a^9*b^2*c^12*d^9*e^13 + 45803520*a^9*b^3*c^11*d^8*e^14 + 21934080*a^9*b^4*c^10*d^7*e^15 - 3
8836224*a^9*b^5*c^9*d^6*e^16 + 7314432*a^9*b^6*c^8*d^5*e^17 + 5905920*a^9*b^7*c^7*d^4*e^18 - 1030560*a^9*b^8*c
^6*d^3*e^19 - 381840*a^9*b^9*c^5*d^2*e^20 - 54190080*a^10*b^2*c^11*d^7*e^15 + 23482368*a^10*b^3*c^10*d^6*e^16
+ 14524416*a^10*b^4*c^9*d^5*e^17 - 11925504*a^10*b^5*c^8*d^4*e^18 - 713472*a^10*b^6*c^7*d^3*e^19 + 996480*a^10
*b^7*c^6*d^2*e^20 - 23371776*a^11*b^2*c^10*d^5*e^17 + 4239360*a^11*b^3*c^9*d^4*e^18 + 5114880*a^11*b^4*c^8*d^3
*e^19 - 1073664*a^11*b^5*c^7*d^2*e^20 - 4823040*a^12*b^2*c^9*d^3*e^19 - 384000*a^12*b^3*c^8*d^2*e^20 - 160*a*b
^8*c^14*d^19*e^3 + 1520*a*b^9*c^13*d^18*e^4 - 5832*a*b^10*c^12*d^17*e^5 + 10812*a*b^11*c^11*d^16*e^6 - 6336*a*
b^12*c^10*d^15*e^7 - 13680*a*b^13*c^9*d^14*e^8 + 35280*a*b^14*c^8*d^13*e^9 - 37752*a*b^15*c^7*d^12*e^10 + 2188
8*a*b^16*c^6*d^11*e^11 - 5984*a*b^17*c^5*d^10*e^12 - 200*a*b^18*c^4*d^9*e^13 + 540*a*b^19*c^3*d^8*e^14 - 96*a*
b^20*c^2*d^7*e^15 + 77824*a^5*b*c^17*d^18*e^4 + 1462272*a^6*b*c^16*d^16*e^6 + 8110080*a^7*b*c^15*d^14*e^8 - 96
*a^7*b^14*c^2*d*e^21 + 22364160*a^8*b*c^14*d^12*e^10 + 2316*a^8*b^12*c^3*d*e^21 + 35954688*a^9*b*c^13*d^10*e^1
2 - 23176*a^9*b^10*c^4*d*e^21 + 35610624*a^10*b*c^12*d^8*e^14 + 122720*a^10*b^8*c^5*d*e^21 + 21676032*a^11*b*c
^11*d^6*e^16 - 359680*a^11*b^6*c^6*d*e^21 + 7618560*a^12*b*c^10*d^4*e^18 + 538624*a^12*b^4*c^7*d*e^21 + 129024
0*a^13*b*c^9*d^2*e^20 - 272384*a^13*b^2*c^8*d*e^21))*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4
*e^7*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^
6*e + 1536*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*
b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8
*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)
^9)^(1/2) + 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a
^2*b^6*c^5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a
^3*b^4*c^6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2
)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*
b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*
a*b^8*c^4*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4
*d*e^6 + 44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^
6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6
*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*
d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5
*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^1
0 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^1
5*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 204
80*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^
4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5
*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7
*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^
3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*
c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10
*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b
^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7
*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000
*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 102
40*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d
^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200
*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c
^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3
+ 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 307
20*a^9*b^3*c^5*d*e^9)))^(1/2) + 32000*a^10*c^9*e^19 + 126*a^6*b^8*c^5*e^19 - 2028*a^7*b^6*c^6*e^19 + 12176*a^8
*b^4*c^7*e^19 - 32320*a^9*b^2*c^8*e^19 - 1024*a^2*c^17*d^16*e^3 - 7424*a^3*c^16*d^14*e^5 + 8960*a^4*c^15*d^12*
e^7 + 152320*a^5*c^14*d^10*e^9 + 439040*a^6*c^13*d^8*e^11 + 614656*a^7*c^12*d^6*e^13 + 471296*a^8*c^11*d^4*e^1
5 + 190720*a^9*c^10*d^2*e^17 - 64*b^4*c^15*d^16*e^3 + 512*b^5*c^14*d^15*e^4 - 1804*b^6*c^13*d^14*e^5 + 3668*b^
7*c^12*d^13*e^6 - 4606*b^8*c^11*d^12*e^7 + 3248*b^9*c^10*d^11*e^8 - 322*b^10*c^9*d^10*e^9 - 1756*b^11*c^8*d^9*
e^10 + 1742*b^12*c^7*d^8*e^11 - 744*b^13*c^6*d^7*e^12 + 126*b^14*c^5*d^6*e^13 - 25152*a^2*b^2*c^15*d^14*e^5 +
32704*a^2*b^3*c^14*d^13*e^6 + 13552*a^2*b^4*c^13*d^12*e^7 - 133728*a^2*b^5*c^12*d^11*e^8 + 251860*a^2*b^6*c^11
*d^10*e^9 - 230228*a^2*b^7*c^10*d^9*e^10 + 71706*a^2*b^8*c^9*d^8*e^11 + 44528*a^2*b^9*c^8*d^7*e^12 - 39088*a^2
*b^10*c^7*d^6*e^13 + 4788*a^2*b^11*c^6*d^5*e^14 + 1890*a^2*b^12*c^5*d^4*e^15 - 177856*a^3*b^2*c^14*d^12*e^7 +
391552*a^3*b^3*c^13*d^11*e^8 - 517104*a^3*b^4*c^12*d^10*e^9 + 234864*a^3*b^5*c^11*d^9*e^10 + 308252*a^3*b^6*c^
10*d^8*e^11 - 458384*a^3*b^7*c^9*d^7*e^12 + 156688*a^3*b^8*c^8*d^6*e^13 + 43064*a^3*b^9*c^7*d^5*e^14 - 23100*a
^3*b^10*c^6*d^4*e^15 - 2520*a^3*b^11*c^5*d^3*e^16 - 42560*a^4*b^2*c^13*d^10*e^9 + 705600*a^4*b^3*c^12*d^9*e^10
- 1453200*a^4*b^4*c^11*d^8*e^11 + 987840*a^4*b^5*c^10*d^7*e^12 + 175420*a^4*b^6*c^9*d^6*e^13 - 428820*a^4*b^7
*c^8*d^5*e^14 + 61670*a^4*b^8*c^7*d^4*e^15 + 36960*a^4*b^9*c^6*d^3*e^16 + 1890*a^4*b^10*c^5*d^2*e^17 + 1055040
*a^5*b^2*c^12*d^8*e^11 + 349440*a^5*b^3*c^11*d^7*e^12 - 1803984*a^5*b^4*c^10*d^6*e^13 + 990192*a^5*b^5*c^9*d^5
*e^14 + 231476*a^5*b^6*c^8*d^4*e^15 - 182392*a^5*b^7*c^7*d^3*e^16 - 29736*a^5*b^8*c^6*d^2*e^17 + 1997632*a^6*b
^2*c^11*d^6*e^13 + 153664*a^6*b^3*c^10*d^5*e^14 - 1288112*a^6*b^4*c^9*d^4*e^15 + 271264*a^6*b^5*c^8*d^3*e^16 +
170492*a^6*b^6*c^7*d^2*e^17 + 1362368*a^7*b^2*c^10*d^4*e^15 + 348544*a^7*b^3*c^9*d^3*e^16 - 408528*a^7*b^4*c^
8*d^2*e^17 + 277824*a^8*b^2*c^9*d^2*e^17 - 190720*a^9*b*c^9*d*e^18 + 512*a*b^2*c^16*d^16*e^3 - 4096*a*b^3*c^15
*d^15*e^4 + 13968*a*b^4*c^14*d^14*e^5 - 26096*a*b^5*c^13*d^13*e^6 + 26012*a*b^6*c^12*d^12*e^7 - 3192*a*b^7*c^1
1*d^11*e^8 - 29288*a*b^8*c^10*d^10*e^9 + 41852*a*b^9*c^9*d^9*e^10 - 26004*a*b^10*c^8*d^8*e^11 + 5408*a*b^11*c^
7*d^7*e^12 + 1680*a*b^12*c^6*d^6*e^13 - 756*a*b^13*c^5*d^5*e^14 + 8192*a^2*b*c^16*d^15*e^4 + 51968*a^3*b*c^15*
d^13*e^6 - 53760*a^4*b*c^14*d^11*e^8 - 761600*a^5*b*c^13*d^9*e^10 - 756*a^5*b^9*c^5*d*e^18 - 1756160*a^6*b*c^1
2*d^7*e^12 + 12180*a^6*b^7*c^6*d*e^18 - 1843968*a^7*b*c^11*d^5*e^14 - 73072*a^7*b^5*c^7*d*e^18 - 942592*a^8*b*
c^10*d^3*e^16 + 193472*a^8*b^3*c^8*d*e^18))*((32*b^6*c^7*d^7 - 2048*a^3*c^10*d^7 - 9*b^13*e^7 - 9*b^4*e^7*(-(4
*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7 - 26880*a^6*b*c^6*e^7 + 53760*a^6*c^7*d*e^6 - 112*b^7*c^6*d^6*e + 153
6*a^2*b^2*c^9*d^7 - 2077*a^2*b^9*c^2*e^7 + 10656*a^3*b^7*c^3*e^7 - 30240*a^4*b^5*c^4*e^7 + 44800*a^5*b^3*c^5*e
^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 17920*a^4*c^9*d^5*e^2 - 35840*a^5*c^8*d^3*e^4 + 98*b^8*c^5*d^5*
e^2 + 35*b^9*c^4*d^4*e^3 - 70*b^10*c^3*d^3*e^4 + 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2)
+ 213*a*b^11*c*e^7 + 21*b^12*c*d*e^6 + 1344*a^2*b^4*c^7*d^5*e^2 + 10080*a^2*b^5*c^6*d^4*e^3 - 7840*a^2*b^6*c^
5*d^3*e^4 - 1008*a^2*b^7*c^4*d^2*e^5 + 7168*a^3*b^2*c^8*d^5*e^2 - 35840*a^3*b^3*c^7*d^4*e^3 + 17920*a^3*b^4*c^
6*d^3*e^4 + 12544*a^3*b^5*c^5*d^2*e^5 - 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2
) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) + 1344*a*b^5*c^7*d^6*e - 532*a*b^10*c^2*d*e^6 + 7168*a^3*b*c^9*d^6
*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) - 896*a*b^6*c^6*d^5*e^2 - 1120*a*b^7*c^5*d^4*e^3 + 1260*a*b^8*c^4
*d^3*e^4 - 98*a*b^9*c^3*d^2*e^5 - 5376*a^2*b^3*c^8*d^6*e + 5418*a^2*b^8*c^3*d*e^6 - 28224*a^3*b^6*c^4*d*e^6 +
44800*a^4*b*c^8*d^4*e^3 + 78400*a^4*b^4*c^5*d*e^6 + 53760*a^5*b*c^7*d^2*e^5 - 107520*a^5*b^2*c^6*d*e^6 + 154*a
*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c
- b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 -
24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d
^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a
^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7
+ 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c
^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3
+ 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3
+ 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2
- 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6
- 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e
^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*
e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^
5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*
d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*
c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^
2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20
480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*
c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e
- 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a
^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^
3*c^5*d*e^9)))^(1/2)*2i - atan((((d + e*x)^(1/2)*(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b^10*c^
4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e^20 -
4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 - 16793
60*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 - 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16 + 778
24*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9*c^12*
d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^11*e^9
- 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^18*c^3
*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144384*a^
2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^12*e^8
+ 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a^2*b^1
2*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 + 270*a
^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*d^14*e
^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 1605568*a^3
*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 + 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^7*e^13
+ 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*c^3*d^
3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 - 53964
80*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b^8*c^9
*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 + 19550*
a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^12*e^8
+ 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065344*a^
5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 - 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^5*e^15
+ 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6*b^2*c
^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7*e^13
+ 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*b^9*c^
6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^13 - 1
033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b^7*c^7
*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15 - 5171
20*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c^10*d^
4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 77824*a^1
1*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*a*b^7*
c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 33040*a*b^
11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 1592*a*b^
15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560*a^4*b
*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2424*a^
6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13 + 101
056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^3*e^17
+ 265216*a^10*b^3*c^8*d*e^19) - (-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2
)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*
c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^
2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b
^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b
^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4
+ 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4
- 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b
^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^
3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 +
98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*
b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e
^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)
^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10
*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 2
40*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2
*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*
b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8
+ 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2
*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*
b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^
4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^
4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256
*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 1024
0*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71
680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 +
102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^
8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*
e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b
*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e
- 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*
b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3
*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^
9)))^(1/2)*((d + e*x)^(1/2)*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^
(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d
^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2
*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^
4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c
*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 100
8*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 125
44*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*
e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d
*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a
*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8
*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-
(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2
))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*
d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^
2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10
- 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*
d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10
*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12
*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*
c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7
*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^1
1*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*
b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6
*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a
^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 10240
0*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 6
1440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 +
120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*
d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*
a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*
c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^
9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^
(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1920*a^
12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*c^19
*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^10*c
^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13762560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 + 2949
120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 + 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14
*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^1
5*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*
b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 40320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*e^4
- 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a^2*b
^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 90720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*e^11
- 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*c^2*
d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2553600
*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12*c^1
0*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^11 +
47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*c^2*
d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 680960
0*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10*c^1
1*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e^11
+ 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^4*b^
17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 + 1032
192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^6*c^
14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41158656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14*e^9
+ 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 139977
6*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c^4*d
^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353600*
a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*c^12
*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11*e^1
2 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056000*
a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17 - 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*e^19
+ 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 13049856
0*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^7*b^
8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 + 11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7*d^8
*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35520*a^
7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 82575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*d^14
*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^12 +
62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*a^8*
b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 - 367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4*e^1
9 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600*a^9
*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b^6*c
^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42240000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^17 -
3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b^13*
c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c^11*
d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^17 +
15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^10*b^
11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 - 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c^10*
d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19 + 1
881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a^12*
b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 + 15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d^3*e
^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 430080
0*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*d^21
*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*c^10
*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*b^18
*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^6*b*
c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9 + 80
*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d^10*
e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a^13*
b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 - 983
040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22) - 53248*a^14*b*c^8*e^22 + 106496*a^14*c^9*d*e^21 - 12*a^
8*b^13*c^2*e^22 + 292*a^9*b^11*c^3*e^22 - 2960*a^10*b^9*c^4*e^22 + 16000*a^11*b^7*c^5*e^22 - 48640*a^12*b^5*c^
6*e^22 + 78848*a^13*b^3*c^7*e^22 + 8192*a^5*c^18*d^19*e^3 + 172032*a^6*c^17*d^17*e^5 + 1081344*a^7*c^16*d^15*e
^7 + 3440640*a^8*c^15*d^13*e^9 + 6537216*a^9*c^14*d^11*e^11 + 7913472*a^10*c^13*d^9*e^13 + 6193152*a^11*c^12*d
^7*e^15 + 3047424*a^12*c^11*d^5*e^17 + 860160*a^13*c^10*d^3*e^19 - 8*b^10*c^13*d^19*e^3 + 76*b^11*c^12*d^18*e^
4 - 300*b^12*c^11*d^17*e^5 + 612*b^13*c^10*d^16*e^6 - 576*b^14*c^9*d^15*e^7 - 168*b^15*c^8*d^14*e^8 + 1176*b^1
6*c^7*d^13*e^9 - 1560*b^17*c^6*d^12*e^10 + 1128*b^18*c^5*d^11*e^11 - 484*b^19*c^4*d^10*e^12 + 116*b^20*c^3*d^9
*e^13 - 12*b^21*c^2*d^8*e^14 - 1280*a^2*b^6*c^15*d^19*e^3 + 12160*a^2*b^7*c^14*d^18*e^4 - 44640*a^2*b^8*c^13*d
^17*e^5 + 69360*a^2*b^9*c^12*d^16*e^6 + 10464*a^2*b^10*c^11*d^15*e^7 - 225360*a^2*b^11*c^10*d^14*e^8 + 398160*
a^2*b^12*c^9*d^13*e^9 - 336960*a^2*b^13*c^8*d^12*e^10 + 123696*a^2*b^14*c^7*d^11*e^11 + 18656*a^2*b^15*c^6*d^1
0*e^12 - 33520*a^2*b^16*c^5*d^9*e^13 + 9360*a^2*b^17*c^4*d^8*e^14 + 240*a^2*b^18*c^3*d^7*e^15 - 336*a^2*b^19*c
^2*d^6*e^16 + 5120*a^3*b^4*c^16*d^19*e^3 - 48640*a^3*b^5*c^15*d^18*e^4 + 165120*a^3*b^6*c^14*d^17*e^5 - 163200
*a^3*b^7*c^13*d^16*e^6 - 439680*a^3*b^8*c^12*d^15*e^7 + 1600320*a^3*b^9*c^11*d^14*e^8 - 2133600*a^3*b^10*c^10*
d^13*e^9 + 1194960*a^3*b^11*c^9*d^12*e^10 + 193344*a^3*b^12*c^8*d^11*e^11 - 640112*a^3*b^13*c^7*d^10*e^12 + 29
5360*a^3*b^14*c^6*d^9*e^13 - 5520*a^3*b^15*c^5*d^8*e^14 - 27840*a^3*b^16*c^4*d^7*e^15 + 3696*a^3*b^17*c^3*d^6*
e^16 + 672*a^3*b^18*c^2*d^5*e^17 - 10240*a^4*b^2*c^17*d^19*e^3 + 97280*a^4*b^3*c^16*d^18*e^4 - 276480*a^4*b^4*
c^15*d^17*e^5 - 130560*a^4*b^5*c^14*d^16*e^6 + 2411520*a^4*b^6*c^13*d^15*e^7 - 5552640*a^4*b^7*c^12*d^14*e^8 +
5066880*a^4*b^8*c^11*d^13*e^9 + 361920*a^4*b^9*c^10*d^12*e^10 - 4744944*a^4*b^10*c^9*d^11*e^11 + 3629032*a^4*
b^11*c^8*d^10*e^12 - 467240*a^4*b^12*c^7*d^9*e^13 - 623160*a^4*b^13*c^6*d^8*e^14 + 233760*a^4*b^14*c^5*d^7*e^1
5 + 17304*a^4*b^15*c^4*d^6*e^16 - 11592*a^4*b^16*c^3*d^5*e^17 - 840*a^4*b^17*c^2*d^4*e^18 + 92160*a^5*b^2*c^16
*d^17*e^5 + 1201152*a^5*b^3*c^15*d^16*e^6 - 5369856*a^5*b^4*c^14*d^15*e^7 + 8312832*a^5*b^5*c^13*d^14*e^8 - 66
6624*a^5*b^6*c^12*d^13*e^9 - 14476800*a^5*b^7*c^11*d^12*e^10 + 18111168*a^5*b^8*c^10*d^11*e^11 - 5528864*a^5*b
^9*c^9*d^10*e^12 - 5015312*a^5*b^10*c^8*d^9*e^13 + 4081464*a^5*b^11*c^7*d^8*e^14 - 312000*a^5*b^12*c^6*d^7*e^1
5 - 431088*a^5*b^13*c^5*d^6*e^16 + 53424*a^5*b^14*c^4*d^5*e^17 + 17304*a^5*b^15*c^3*d^4*e^18 + 672*a^5*b^16*c^
2*d^3*e^19 + 3956736*a^6*b^2*c^15*d^15*e^7 - 430080*a^6*b^3*c^14*d^14*e^8 - 18063360*a^6*b^4*c^13*d^13*e^9 + 3
5223552*a^6*b^5*c^12*d^12*e^10 - 19342848*a^6*b^6*c^11*d^11*e^11 - 16617216*a^6*b^7*c^10*d^10*e^12 + 25932480*
a^6*b^8*c^9*d^9*e^13 - 7442400*a^6*b^9*c^8*d^8*e^14 - 4193952*a^6*b^10*c^7*d^7*e^15 + 2232048*a^6*b^11*c^6*d^6
*e^16 + 181776*a^6*b^12*c^5*d^5*e^17 - 131040*a^6*b^13*c^4*d^4*e^18 - 15120*a^6*b^14*c^3*d^3*e^19 - 336*a^6*b^
15*c^2*d^2*e^20 + 21504000*a^7*b^2*c^14*d^13*e^9 - 16773120*a^7*b^3*c^13*d^12*e^10 - 27224064*a^7*b^4*c^12*d^1
1*e^11 + 63630336*a^7*b^5*c^11*d^10*e^12 - 35535360*a^7*b^6*c^10*d^9*e^13 - 14204160*a^7*b^7*c^9*d^8*e^14 + 20
488320*a^7*b^8*c^8*d^7*e^15 - 2821056*a^7*b^9*c^7*d^6*e^16 - 2536416*a^7*b^10*c^6*d^5*e^17 + 356880*a^7*b^11*c
^5*d^4*e^18 + 135360*a^7*b^12*c^4*d^3*e^19 + 7920*a^7*b^13*c^3*d^2*e^20 + 52383744*a^8*b^2*c^13*d^11*e^11 - 42
104832*a^8*b^3*c^12*d^10*e^12 - 26234880*a^8*b^4*c^11*d^9*e^13 + 64834560*a^8*b^5*c^10*d^8*e^14 - 26772480*a^8
*b^6*c^9*d^7*e^15 - 11579904*a^8*b^7*c^8*d^6*e^16 + 8456832*a^8*b^8*c^7*d^5*e^17 + 603840*a^8*b^9*c^6*d^4*e^18
- 584520*a^8*b^10*c^5*d^3*e^19 - 76500*a^8*b^11*c^4*d^2*e^20 + 70103040*a^9*b^2*c^12*d^9*e^13 - 45803520*a^9*
b^3*c^11*d^8*e^14 - 21934080*a^9*b^4*c^10*d^7*e^15 + 38836224*a^9*b^5*c^9*d^6*e^16 - 7314432*a^9*b^6*c^8*d^5*e
^17 - 5905920*a^9*b^7*c^7*d^4*e^18 + 1030560*a^9*b^8*c^6*d^3*e^19 + 381840*a^9*b^9*c^5*d^2*e^20 + 54190080*a^1
0*b^2*c^11*d^7*e^15 - 23482368*a^10*b^3*c^10*d^6*e^16 - 14524416*a^10*b^4*c^9*d^5*e^17 + 11925504*a^10*b^5*c^8
*d^4*e^18 + 713472*a^10*b^6*c^7*d^3*e^19 - 996480*a^10*b^7*c^6*d^2*e^20 + 23371776*a^11*b^2*c^10*d^5*e^17 - 42
39360*a^11*b^3*c^9*d^4*e^18 - 5114880*a^11*b^4*c^8*d^3*e^19 + 1073664*a^11*b^5*c^7*d^2*e^20 + 4823040*a^12*b^2
*c^9*d^3*e^19 + 384000*a^12*b^3*c^8*d^2*e^20 + 160*a*b^8*c^14*d^19*e^3 - 1520*a*b^9*c^13*d^18*e^4 + 5832*a*b^1
0*c^12*d^17*e^5 - 10812*a*b^11*c^11*d^16*e^6 + 6336*a*b^12*c^10*d^15*e^7 + 13680*a*b^13*c^9*d^14*e^8 - 35280*a
*b^14*c^8*d^13*e^9 + 37752*a*b^15*c^7*d^12*e^10 - 21888*a*b^16*c^6*d^11*e^11 + 5984*a*b^17*c^5*d^10*e^12 + 200
*a*b^18*c^4*d^9*e^13 - 540*a*b^19*c^3*d^8*e^14 + 96*a*b^20*c^2*d^7*e^15 - 77824*a^5*b*c^17*d^18*e^4 - 1462272*
a^6*b*c^16*d^16*e^6 - 8110080*a^7*b*c^15*d^14*e^8 + 96*a^7*b^14*c^2*d*e^21 - 22364160*a^8*b*c^14*d^12*e^10 - 2
316*a^8*b^12*c^3*d*e^21 - 35954688*a^9*b*c^13*d^10*e^12 + 23176*a^9*b^10*c^4*d*e^21 - 35610624*a^10*b*c^12*d^8
*e^14 - 122720*a^10*b^8*c^5*d*e^21 - 21676032*a^11*b*c^11*d^6*e^16 + 359680*a^11*b^6*c^6*d*e^21 - 7618560*a^12
*b*c^10*d^4*e^18 - 538624*a^12*b^4*c^7*d*e^21 - 1290240*a^13*b*c^9*d^2*e^20 + 272384*a^13*b^2*c^8*d*e^21))*(-(
9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 268
80*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 106
56*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) +
17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4
- 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a
^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^
3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*
a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) -
1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) +
896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3
*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*
e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c
^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6
*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a
*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c
^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840
*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^
2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2
*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2
*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3
*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^
5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c
^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8
*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^
3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*
b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*
a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 8192
0*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^1
5*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2
+ 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b
^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d
^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 -
19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i + ((d + e*x)^(1/2)*(25
600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e
^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 3
27680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 - 1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 -
819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16 + 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b
^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*
d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^11*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 3
62*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b
^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 2
97472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^
9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*
a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 + 270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4
- 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*
c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 1605568*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 +
96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d
^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4
*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 - 5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10
*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4
*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 + 19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 +
270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c
^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 -
1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*
d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333
568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*
d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*
a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d
^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^
8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15 - 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^
17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b
^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 77824*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^
5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b
^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 33040*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*
a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 1592*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^
17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a
^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21
952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13 + 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15
- 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - (-(9*b^13*e^7 + 204
8*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7
- 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e
^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d
^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d
^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e
^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^
2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*
e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d
^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d
^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 541
8*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*
b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*
a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 409
6*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 -
5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a
^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^1
0 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^
9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*
a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600
*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a
^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 1456
0*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 153
60*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8
000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 -
125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7
- 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*
e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^
3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 12
0*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3
*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 2
20*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*
b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^
4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*((d + e*x)^(1/2)*(-(9*b^13*e^7 + 2048*a^3
*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53
760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 +
30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^
2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^
5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 -
10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 3
5840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 +
14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e
+ 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^
2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2
*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7
*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c -
b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^1
1*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4
*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^
4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6
144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6
*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b
^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*
b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^
12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4
*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^
5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a
^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 12544
0*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 116
00*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 -
15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7
- 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5
*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*
e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^
3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c
^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e
^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23
- 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1920*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^
14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c
^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13762
560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 + 2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 +
16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16
*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*
e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 40
320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^
11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 90
720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*
d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*
b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2553600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*
e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000
*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^11 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d
^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*
b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 6809600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*
e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 78456
00*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*
c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*
a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 + 1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^1
9*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41158
656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^1
1*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 1399776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*
e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^1
8*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e
^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 704704
00*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b
^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17
- 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3
*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 130498560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^1
3*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 +
11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b
^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35520*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 82
575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a
^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*
c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 -
367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d
^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^1
2 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42240
000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^
5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 2
42221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 919142
40*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^
6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^10*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 -
154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984
*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19 + 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d
^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 +
15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*
b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 4300800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e
^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12
*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^
16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b
^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 250675
20*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9 + 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^1
1 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*
c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 73728
00*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 - 983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22
) + 53248*a^14*b*c^8*e^22 - 106496*a^14*c^9*d*e^21 + 12*a^8*b^13*c^2*e^22 - 292*a^9*b^11*c^3*e^22 + 2960*a^10*
b^9*c^4*e^22 - 16000*a^11*b^7*c^5*e^22 + 48640*a^12*b^5*c^6*e^22 - 78848*a^13*b^3*c^7*e^22 - 8192*a^5*c^18*d^1
9*e^3 - 172032*a^6*c^17*d^17*e^5 - 1081344*a^7*c^16*d^15*e^7 - 3440640*a^8*c^15*d^13*e^9 - 6537216*a^9*c^14*d^
11*e^11 - 7913472*a^10*c^13*d^9*e^13 - 6193152*a^11*c^12*d^7*e^15 - 3047424*a^12*c^11*d^5*e^17 - 860160*a^13*c
^10*d^3*e^19 + 8*b^10*c^13*d^19*e^3 - 76*b^11*c^12*d^18*e^4 + 300*b^12*c^11*d^17*e^5 - 612*b^13*c^10*d^16*e^6
+ 576*b^14*c^9*d^15*e^7 + 168*b^15*c^8*d^14*e^8 - 1176*b^16*c^7*d^13*e^9 + 1560*b^17*c^6*d^12*e^10 - 1128*b^18
*c^5*d^11*e^11 + 484*b^19*c^4*d^10*e^12 - 116*b^20*c^3*d^9*e^13 + 12*b^21*c^2*d^8*e^14 + 1280*a^2*b^6*c^15*d^1
9*e^3 - 12160*a^2*b^7*c^14*d^18*e^4 + 44640*a^2*b^8*c^13*d^17*e^5 - 69360*a^2*b^9*c^12*d^16*e^6 - 10464*a^2*b^
10*c^11*d^15*e^7 + 225360*a^2*b^11*c^10*d^14*e^8 - 398160*a^2*b^12*c^9*d^13*e^9 + 336960*a^2*b^13*c^8*d^12*e^1
0 - 123696*a^2*b^14*c^7*d^11*e^11 - 18656*a^2*b^15*c^6*d^10*e^12 + 33520*a^2*b^16*c^5*d^9*e^13 - 9360*a^2*b^17
*c^4*d^8*e^14 - 240*a^2*b^18*c^3*d^7*e^15 + 336*a^2*b^19*c^2*d^6*e^16 - 5120*a^3*b^4*c^16*d^19*e^3 + 48640*a^3
*b^5*c^15*d^18*e^4 - 165120*a^3*b^6*c^14*d^17*e^5 + 163200*a^3*b^7*c^13*d^16*e^6 + 439680*a^3*b^8*c^12*d^15*e^
7 - 1600320*a^3*b^9*c^11*d^14*e^8 + 2133600*a^3*b^10*c^10*d^13*e^9 - 1194960*a^3*b^11*c^9*d^12*e^10 - 193344*a
^3*b^12*c^8*d^11*e^11 + 640112*a^3*b^13*c^7*d^10*e^12 - 295360*a^3*b^14*c^6*d^9*e^13 + 5520*a^3*b^15*c^5*d^8*e
^14 + 27840*a^3*b^16*c^4*d^7*e^15 - 3696*a^3*b^17*c^3*d^6*e^16 - 672*a^3*b^18*c^2*d^5*e^17 + 10240*a^4*b^2*c^1
7*d^19*e^3 - 97280*a^4*b^3*c^16*d^18*e^4 + 276480*a^4*b^4*c^15*d^17*e^5 + 130560*a^4*b^5*c^14*d^16*e^6 - 24115
20*a^4*b^6*c^13*d^15*e^7 + 5552640*a^4*b^7*c^12*d^14*e^8 - 5066880*a^4*b^8*c^11*d^13*e^9 - 361920*a^4*b^9*c^10
*d^12*e^10 + 4744944*a^4*b^10*c^9*d^11*e^11 - 3629032*a^4*b^11*c^8*d^10*e^12 + 467240*a^4*b^12*c^7*d^9*e^13 +
623160*a^4*b^13*c^6*d^8*e^14 - 233760*a^4*b^14*c^5*d^7*e^15 - 17304*a^4*b^15*c^4*d^6*e^16 + 11592*a^4*b^16*c^3
*d^5*e^17 + 840*a^4*b^17*c^2*d^4*e^18 - 92160*a^5*b^2*c^16*d^17*e^5 - 1201152*a^5*b^3*c^15*d^16*e^6 + 5369856*
a^5*b^4*c^14*d^15*e^7 - 8312832*a^5*b^5*c^13*d^14*e^8 + 666624*a^5*b^6*c^12*d^13*e^9 + 14476800*a^5*b^7*c^11*d
^12*e^10 - 18111168*a^5*b^8*c^10*d^11*e^11 + 5528864*a^5*b^9*c^9*d^10*e^12 + 5015312*a^5*b^10*c^8*d^9*e^13 - 4
081464*a^5*b^11*c^7*d^8*e^14 + 312000*a^5*b^12*c^6*d^7*e^15 + 431088*a^5*b^13*c^5*d^6*e^16 - 53424*a^5*b^14*c^
4*d^5*e^17 - 17304*a^5*b^15*c^3*d^4*e^18 - 672*a^5*b^16*c^2*d^3*e^19 - 3956736*a^6*b^2*c^15*d^15*e^7 + 430080*
a^6*b^3*c^14*d^14*e^8 + 18063360*a^6*b^4*c^13*d^13*e^9 - 35223552*a^6*b^5*c^12*d^12*e^10 + 19342848*a^6*b^6*c^
11*d^11*e^11 + 16617216*a^6*b^7*c^10*d^10*e^12 - 25932480*a^6*b^8*c^9*d^9*e^13 + 7442400*a^6*b^9*c^8*d^8*e^14
+ 4193952*a^6*b^10*c^7*d^7*e^15 - 2232048*a^6*b^11*c^6*d^6*e^16 - 181776*a^6*b^12*c^5*d^5*e^17 + 131040*a^6*b^
13*c^4*d^4*e^18 + 15120*a^6*b^14*c^3*d^3*e^19 + 336*a^6*b^15*c^2*d^2*e^20 - 21504000*a^7*b^2*c^14*d^13*e^9 + 1
6773120*a^7*b^3*c^13*d^12*e^10 + 27224064*a^7*b^4*c^12*d^11*e^11 - 63630336*a^7*b^5*c^11*d^10*e^12 + 35535360*
a^7*b^6*c^10*d^9*e^13 + 14204160*a^7*b^7*c^9*d^8*e^14 - 20488320*a^7*b^8*c^8*d^7*e^15 + 2821056*a^7*b^9*c^7*d^
6*e^16 + 2536416*a^7*b^10*c^6*d^5*e^17 - 356880*a^7*b^11*c^5*d^4*e^18 - 135360*a^7*b^12*c^4*d^3*e^19 - 7920*a^
7*b^13*c^3*d^2*e^20 - 52383744*a^8*b^2*c^13*d^11*e^11 + 42104832*a^8*b^3*c^12*d^10*e^12 + 26234880*a^8*b^4*c^1
1*d^9*e^13 - 64834560*a^8*b^5*c^10*d^8*e^14 + 26772480*a^8*b^6*c^9*d^7*e^15 + 11579904*a^8*b^7*c^8*d^6*e^16 -
8456832*a^8*b^8*c^7*d^5*e^17 - 603840*a^8*b^9*c^6*d^4*e^18 + 584520*a^8*b^10*c^5*d^3*e^19 + 76500*a^8*b^11*c^4
*d^2*e^20 - 70103040*a^9*b^2*c^12*d^9*e^13 + 45803520*a^9*b^3*c^11*d^8*e^14 + 21934080*a^9*b^4*c^10*d^7*e^15 -
38836224*a^9*b^5*c^9*d^6*e^16 + 7314432*a^9*b^6*c^8*d^5*e^17 + 5905920*a^9*b^7*c^7*d^4*e^18 - 1030560*a^9*b^8
*c^6*d^3*e^19 - 381840*a^9*b^9*c^5*d^2*e^20 - 54190080*a^10*b^2*c^11*d^7*e^15 + 23482368*a^10*b^3*c^10*d^6*e^1
6 + 14524416*a^10*b^4*c^9*d^5*e^17 - 11925504*a^10*b^5*c^8*d^4*e^18 - 713472*a^10*b^6*c^7*d^3*e^19 + 996480*a^
10*b^7*c^6*d^2*e^20 - 23371776*a^11*b^2*c^10*d^5*e^17 + 4239360*a^11*b^3*c^9*d^4*e^18 + 5114880*a^11*b^4*c^8*d
^3*e^19 - 1073664*a^11*b^5*c^7*d^2*e^20 - 4823040*a^12*b^2*c^9*d^3*e^19 - 384000*a^12*b^3*c^8*d^2*e^20 - 160*a
*b^8*c^14*d^19*e^3 + 1520*a*b^9*c^13*d^18*e^4 - 5832*a*b^10*c^12*d^17*e^5 + 10812*a*b^11*c^11*d^16*e^6 - 6336*
a*b^12*c^10*d^15*e^7 - 13680*a*b^13*c^9*d^14*e^8 + 35280*a*b^14*c^8*d^13*e^9 - 37752*a*b^15*c^7*d^12*e^10 + 21
888*a*b^16*c^6*d^11*e^11 - 5984*a*b^17*c^5*d^10*e^12 - 200*a*b^18*c^4*d^9*e^13 + 540*a*b^19*c^3*d^8*e^14 - 96*
a*b^20*c^2*d^7*e^15 + 77824*a^5*b*c^17*d^18*e^4 + 1462272*a^6*b*c^16*d^16*e^6 + 8110080*a^7*b*c^15*d^14*e^8 -
96*a^7*b^14*c^2*d*e^21 + 22364160*a^8*b*c^14*d^12*e^10 + 2316*a^8*b^12*c^3*d*e^21 + 35954688*a^9*b*c^13*d^10*e
^12 - 23176*a^9*b^10*c^4*d*e^21 + 35610624*a^10*b*c^12*d^8*e^14 + 122720*a^10*b^8*c^5*d*e^21 + 21676032*a^11*b
*c^11*d^6*e^16 - 359680*a^11*b^6*c^6*d*e^21 + 7618560*a^12*b*c^10*d^4*e^18 + 538624*a^12*b^4*c^7*d*e^21 + 1290
240*a^13*b*c^9*d^2*e^20 - 272384*a^13*b^2*c^8*d*e^21))*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*
b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6
*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a
^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*
b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b
^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 784
0*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 1792
0*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c -
b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a
^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 12
60*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*
c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d
*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*
e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^
17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e
+ 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*
d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*
b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 +
20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11
*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*
c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*
c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10
*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b
^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b
^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^
6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*
a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32
000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 +
10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^1
0*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1
200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^
5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*
e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 +
30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i)/(((d + e*x)^(1/2)*(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b
^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e
^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4 - 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 -
1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12 - 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16
+ 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 576*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9
*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^1
1*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11 + 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^
18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144
384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6 + 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^
12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a
^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 9988*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 +
270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*
d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 16055
68*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11 + 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^
7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*
c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 -
5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b
^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 +
19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^17 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^
12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065
344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13 - 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^
5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6
*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 - 333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7
*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*
b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 15628288*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^
13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b
^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15
- 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c
^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 778
24*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*
a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 3304
0*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 14020*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 159
2*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560
*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 108*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2
424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 - 21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13
+ 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^
3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - (-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c
- b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^
2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 -
25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2
- 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 2
13*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^
3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^
3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) +
51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e +
21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3
*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 4480
0*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3
*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b
^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*
a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e
^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b
^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 1
0*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d
^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 4
90*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 56
0*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12
800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1
920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 -
32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8
+ 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^
5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*
e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*
d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^
6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*
a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*
d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 23
5*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b
^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^
5*d*e^9)))^(1/2)*((d + e*x)^(1/2)*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^
2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2
*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a
^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*
b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*
b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4
+ 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4
- 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*
b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b
^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4
+ 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4
*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*
e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9
)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^1
0*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 +
240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^
2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3
*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^
8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^
2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3
*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a
^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a
^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 3225
6*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 102
40*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 7
1680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 +
102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e
^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2
*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*
b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e
- 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4
*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^
3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e
^9)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e^23 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1
920*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720*a^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^
6*c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^8*c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*
a^10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13762560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16
+ 2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^20 + 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 80
0*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c
^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^1
2 - 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 - 40320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^1
9*e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12*c^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160
*a^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 - 90720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^1
2*e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c^4*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^2
1*c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a^3*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2
553600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^17*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^
12*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848000*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e
^11 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^5*d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^2
0*c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a^4*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 -
6809600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^17*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^
10*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 7845600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12
*e^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^15*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*
a^4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 1680*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2
+ 1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*d^19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*
b^6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41158656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^
14*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*b^11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 +
1399776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d^9*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16
*c^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*b^18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 193
53600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^16*e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^
7*c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 70470400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^
11*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^6*b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 10
56000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^17 - 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^
4*e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*b^3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 13
0498560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*d^13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*
a^7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13 + 11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c
^7*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^7*b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35
520*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 + 82575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^1
4*d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 184504320*a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*
e^12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b^8*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 50688
0*a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17 - 367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d
^4*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^2*d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 2236416
00*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*e^12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9
*b^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42240000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*
e^17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11*c^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9
*b^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12 - 242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4
*c^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 91914240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*
e^17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9*c^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a
^10*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^14 - 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4
*c^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417984*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^
19 + 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^5*d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240
*a^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18 + 15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7
*d^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^13*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 -
4300800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^2*e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^1
4*d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c^12*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^1
4*c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a*b^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*
a*b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*a*b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*
a^6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 25067520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^
9 + 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*e^11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13
*d^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12*b*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120
*a^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 7372800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22
- 983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e^22) - 53248*a^14*b*c^8*e^22 + 106496*a^14*c^9*d*e^21 -
12*a^8*b^13*c^2*e^22 + 292*a^9*b^11*c^3*e^22 - 2960*a^10*b^9*c^4*e^22 + 16000*a^11*b^7*c^5*e^22 - 48640*a^12*
b^5*c^6*e^22 + 78848*a^13*b^3*c^7*e^22 + 8192*a^5*c^18*d^19*e^3 + 172032*a^6*c^17*d^17*e^5 + 1081344*a^7*c^16*
d^15*e^7 + 3440640*a^8*c^15*d^13*e^9 + 6537216*a^9*c^14*d^11*e^11 + 7913472*a^10*c^13*d^9*e^13 + 6193152*a^11*
c^12*d^7*e^15 + 3047424*a^12*c^11*d^5*e^17 + 860160*a^13*c^10*d^3*e^19 - 8*b^10*c^13*d^19*e^3 + 76*b^11*c^12*d
^18*e^4 - 300*b^12*c^11*d^17*e^5 + 612*b^13*c^10*d^16*e^6 - 576*b^14*c^9*d^15*e^7 - 168*b^15*c^8*d^14*e^8 + 11
76*b^16*c^7*d^13*e^9 - 1560*b^17*c^6*d^12*e^10 + 1128*b^18*c^5*d^11*e^11 - 484*b^19*c^4*d^10*e^12 + 116*b^20*c
^3*d^9*e^13 - 12*b^21*c^2*d^8*e^14 - 1280*a^2*b^6*c^15*d^19*e^3 + 12160*a^2*b^7*c^14*d^18*e^4 - 44640*a^2*b^8*
c^13*d^17*e^5 + 69360*a^2*b^9*c^12*d^16*e^6 + 10464*a^2*b^10*c^11*d^15*e^7 - 225360*a^2*b^11*c^10*d^14*e^8 + 3
98160*a^2*b^12*c^9*d^13*e^9 - 336960*a^2*b^13*c^8*d^12*e^10 + 123696*a^2*b^14*c^7*d^11*e^11 + 18656*a^2*b^15*c
^6*d^10*e^12 - 33520*a^2*b^16*c^5*d^9*e^13 + 9360*a^2*b^17*c^4*d^8*e^14 + 240*a^2*b^18*c^3*d^7*e^15 - 336*a^2*
b^19*c^2*d^6*e^16 + 5120*a^3*b^4*c^16*d^19*e^3 - 48640*a^3*b^5*c^15*d^18*e^4 + 165120*a^3*b^6*c^14*d^17*e^5 -
163200*a^3*b^7*c^13*d^16*e^6 - 439680*a^3*b^8*c^12*d^15*e^7 + 1600320*a^3*b^9*c^11*d^14*e^8 - 2133600*a^3*b^10
*c^10*d^13*e^9 + 1194960*a^3*b^11*c^9*d^12*e^10 + 193344*a^3*b^12*c^8*d^11*e^11 - 640112*a^3*b^13*c^7*d^10*e^1
2 + 295360*a^3*b^14*c^6*d^9*e^13 - 5520*a^3*b^15*c^5*d^8*e^14 - 27840*a^3*b^16*c^4*d^7*e^15 + 3696*a^3*b^17*c^
3*d^6*e^16 + 672*a^3*b^18*c^2*d^5*e^17 - 10240*a^4*b^2*c^17*d^19*e^3 + 97280*a^4*b^3*c^16*d^18*e^4 - 276480*a^
4*b^4*c^15*d^17*e^5 - 130560*a^4*b^5*c^14*d^16*e^6 + 2411520*a^4*b^6*c^13*d^15*e^7 - 5552640*a^4*b^7*c^12*d^14
*e^8 + 5066880*a^4*b^8*c^11*d^13*e^9 + 361920*a^4*b^9*c^10*d^12*e^10 - 4744944*a^4*b^10*c^9*d^11*e^11 + 362903
2*a^4*b^11*c^8*d^10*e^12 - 467240*a^4*b^12*c^7*d^9*e^13 - 623160*a^4*b^13*c^6*d^8*e^14 + 233760*a^4*b^14*c^5*d
^7*e^15 + 17304*a^4*b^15*c^4*d^6*e^16 - 11592*a^4*b^16*c^3*d^5*e^17 - 840*a^4*b^17*c^2*d^4*e^18 + 92160*a^5*b^
2*c^16*d^17*e^5 + 1201152*a^5*b^3*c^15*d^16*e^6 - 5369856*a^5*b^4*c^14*d^15*e^7 + 8312832*a^5*b^5*c^13*d^14*e^
8 - 666624*a^5*b^6*c^12*d^13*e^9 - 14476800*a^5*b^7*c^11*d^12*e^10 + 18111168*a^5*b^8*c^10*d^11*e^11 - 5528864
*a^5*b^9*c^9*d^10*e^12 - 5015312*a^5*b^10*c^8*d^9*e^13 + 4081464*a^5*b^11*c^7*d^8*e^14 - 312000*a^5*b^12*c^6*d
^7*e^15 - 431088*a^5*b^13*c^5*d^6*e^16 + 53424*a^5*b^14*c^4*d^5*e^17 + 17304*a^5*b^15*c^3*d^4*e^18 + 672*a^5*b
^16*c^2*d^3*e^19 + 3956736*a^6*b^2*c^15*d^15*e^7 - 430080*a^6*b^3*c^14*d^14*e^8 - 18063360*a^6*b^4*c^13*d^13*e
^9 + 35223552*a^6*b^5*c^12*d^12*e^10 - 19342848*a^6*b^6*c^11*d^11*e^11 - 16617216*a^6*b^7*c^10*d^10*e^12 + 259
32480*a^6*b^8*c^9*d^9*e^13 - 7442400*a^6*b^9*c^8*d^8*e^14 - 4193952*a^6*b^10*c^7*d^7*e^15 + 2232048*a^6*b^11*c
^6*d^6*e^16 + 181776*a^6*b^12*c^5*d^5*e^17 - 131040*a^6*b^13*c^4*d^4*e^18 - 15120*a^6*b^14*c^3*d^3*e^19 - 336*
a^6*b^15*c^2*d^2*e^20 + 21504000*a^7*b^2*c^14*d^13*e^9 - 16773120*a^7*b^3*c^13*d^12*e^10 - 27224064*a^7*b^4*c^
12*d^11*e^11 + 63630336*a^7*b^5*c^11*d^10*e^12 - 35535360*a^7*b^6*c^10*d^9*e^13 - 14204160*a^7*b^7*c^9*d^8*e^1
4 + 20488320*a^7*b^8*c^8*d^7*e^15 - 2821056*a^7*b^9*c^7*d^6*e^16 - 2536416*a^7*b^10*c^6*d^5*e^17 + 356880*a^7*
b^11*c^5*d^4*e^18 + 135360*a^7*b^12*c^4*d^3*e^19 + 7920*a^7*b^13*c^3*d^2*e^20 + 52383744*a^8*b^2*c^13*d^11*e^1
1 - 42104832*a^8*b^3*c^12*d^10*e^12 - 26234880*a^8*b^4*c^11*d^9*e^13 + 64834560*a^8*b^5*c^10*d^8*e^14 - 267724
80*a^8*b^6*c^9*d^7*e^15 - 11579904*a^8*b^7*c^8*d^6*e^16 + 8456832*a^8*b^8*c^7*d^5*e^17 + 603840*a^8*b^9*c^6*d^
4*e^18 - 584520*a^8*b^10*c^5*d^3*e^19 - 76500*a^8*b^11*c^4*d^2*e^20 + 70103040*a^9*b^2*c^12*d^9*e^13 - 4580352
0*a^9*b^3*c^11*d^8*e^14 - 21934080*a^9*b^4*c^10*d^7*e^15 + 38836224*a^9*b^5*c^9*d^6*e^16 - 7314432*a^9*b^6*c^8
*d^5*e^17 - 5905920*a^9*b^7*c^7*d^4*e^18 + 1030560*a^9*b^8*c^6*d^3*e^19 + 381840*a^9*b^9*c^5*d^2*e^20 + 541900
80*a^10*b^2*c^11*d^7*e^15 - 23482368*a^10*b^3*c^10*d^6*e^16 - 14524416*a^10*b^4*c^9*d^5*e^17 + 11925504*a^10*b
^5*c^8*d^4*e^18 + 713472*a^10*b^6*c^7*d^3*e^19 - 996480*a^10*b^7*c^6*d^2*e^20 + 23371776*a^11*b^2*c^10*d^5*e^1
7 - 4239360*a^11*b^3*c^9*d^4*e^18 - 5114880*a^11*b^4*c^8*d^3*e^19 + 1073664*a^11*b^5*c^7*d^2*e^20 + 4823040*a^
12*b^2*c^9*d^3*e^19 + 384000*a^12*b^3*c^8*d^2*e^20 + 160*a*b^8*c^14*d^19*e^3 - 1520*a*b^9*c^13*d^18*e^4 + 5832
*a*b^10*c^12*d^17*e^5 - 10812*a*b^11*c^11*d^16*e^6 + 6336*a*b^12*c^10*d^15*e^7 + 13680*a*b^13*c^9*d^14*e^8 - 3
5280*a*b^14*c^8*d^13*e^9 + 37752*a*b^15*c^7*d^12*e^10 - 21888*a*b^16*c^6*d^11*e^11 + 5984*a*b^17*c^5*d^10*e^12
+ 200*a*b^18*c^4*d^9*e^13 - 540*a*b^19*c^3*d^8*e^14 + 96*a*b^20*c^2*d^7*e^15 - 77824*a^5*b*c^17*d^18*e^4 - 14
62272*a^6*b*c^16*d^16*e^6 - 8110080*a^7*b*c^15*d^14*e^8 + 96*a^7*b^14*c^2*d*e^21 - 22364160*a^8*b*c^14*d^12*e^
10 - 2316*a^8*b^12*c^3*d*e^21 - 35954688*a^9*b*c^13*d^10*e^12 + 23176*a^9*b^10*c^4*d*e^21 - 35610624*a^10*b*c^
12*d^8*e^14 - 122720*a^10*b^8*c^5*d*e^21 - 21676032*a^11*b*c^11*d^6*e^16 + 359680*a^11*b^6*c^6*d*e^21 - 761856
0*a^12*b*c^10*d^4*e^18 - 538624*a^12*b^4*c^7*d*e^21 - 1290240*a^13*b*c^9*d^2*e^20 + 272384*a^13*b^2*c^8*d*e^21
))*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7
+ 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7
- 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(
1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d
^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 -
1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7
168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 +
44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1
/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(
1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a
^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*
c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) -
70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 40
96*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10
+ 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3
*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10
+ 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*
d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^
15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^
13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^
11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*
b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5
*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a
^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*
a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 1280
0*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 1
25440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6
+ 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4
*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^
8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400
*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3
*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*
e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*
(25600*a^12*c^9*e^20 + 18*a^6*b^12*c^3*e^20 - 408*a^7*b^10*c^4*e^20 + 3764*a^8*b^8*c^5*e^20 - 17920*a^9*b^6*c^
6*e^20 + 45696*a^10*b^4*c^7*e^20 - 57344*a^11*b^2*c^8*e^20 - 4096*a^3*c^18*d^18*e^2 - 56320*a^4*c^17*d^16*e^4
- 327680*a^5*c^16*d^14*e^6 - 987136*a^6*c^15*d^12*e^8 - 1679360*a^7*c^14*d^10*e^10 - 1632256*a^8*c^13*d^8*e^12
- 819200*a^9*c^12*d^6*e^14 - 102400*a^10*c^11*d^4*e^16 + 77824*a^11*c^10*d^2*e^18 + 64*b^6*c^15*d^18*e^2 - 57
6*b^7*c^14*d^17*e^3 + 2228*b^8*c^13*d^16*e^4 - 4768*b^9*c^12*d^15*e^5 + 5960*b^10*c^11*d^14*e^6 - 3976*b^11*c^
10*d^13*e^7 + 578*b^12*c^9*d^12*e^8 + 1004*b^13*c^8*d^11*e^9 - 442*b^14*c^7*d^10*e^10 - 320*b^15*c^6*d^9*e^11
+ 362*b^16*c^5*d^8*e^12 - 132*b^17*c^4*d^7*e^13 + 18*b^18*c^3*d^6*e^14 + 3072*a^2*b^2*c^17*d^18*e^2 - 27648*a^
2*b^3*c^16*d^17*e^3 + 96384*a^2*b^4*c^15*d^16*e^4 - 144384*a^2*b^5*c^14*d^15*e^5 + 5120*a^2*b^6*c^13*d^14*e^6
+ 297472*a^2*b^7*c^12*d^13*e^7 - 404368*a^2*b^8*c^11*d^12*e^8 + 136544*a^2*b^9*c^10*d^11*e^9 + 165736*a^2*b^10
*c^9*d^10*e^10 - 188920*a^2*b^11*c^8*d^9*e^11 + 58766*a^2*b^12*c^7*d^8*e^12 + 10936*a^2*b^13*c^6*d^7*e^13 - 99
88*a^2*b^14*c^5*d^6*e^14 + 1008*a^2*b^15*c^4*d^5*e^15 + 270*a^2*b^16*c^3*d^4*e^16 - 100352*a^3*b^2*c^16*d^16*e
^4 - 32768*a^3*b^3*c^15*d^15*e^5 + 701440*a^3*b^4*c^14*d^14*e^6 - 1412096*a^3*b^5*c^13*d^13*e^7 + 867584*a^3*b
^6*c^12*d^12*e^8 + 798208*a^3*b^7*c^11*d^11*e^9 - 1605568*a^3*b^8*c^10*d^10*e^10 + 832960*a^3*b^9*c^9*d^9*e^11
+ 96632*a^3*b^10*c^8*d^8*e^12 - 251488*a^3*b^11*c^7*d^7*e^13 + 67704*a^3*b^12*c^6*d^6*e^14 + 9896*a^3*b^13*c^
5*d^5*e^15 - 4560*a^3*b^14*c^4*d^4*e^16 - 360*a^3*b^15*c^3*d^3*e^17 - 1280000*a^4*b^2*c^15*d^14*e^6 + 1075200*
a^4*b^3*c^14*d^13*e^7 + 1986560*a^4*b^4*c^13*d^12*e^8 - 5396480*a^4*b^5*c^12*d^11*e^9 + 4227200*a^4*b^6*c^11*d
^10*e^10 + 265600*a^4*b^7*c^10*d^9*e^11 - 2357320*a^4*b^8*c^9*d^8*e^12 + 1189920*a^4*b^9*c^8*d^7*e^13 + 33880*
a^4*b^10*c^7*d^6*e^14 - 165880*a^4*b^11*c^6*d^5*e^15 + 19550*a^4*b^12*c^5*d^4*e^16 + 7260*a^4*b^13*c^4*d^3*e^1
7 + 270*a^4*b^14*c^3*d^2*e^18 - 5974016*a^5*b^2*c^14*d^12*e^8 + 6025216*a^5*b^3*c^13*d^11*e^9 + 1726976*a^5*b^
4*c^12*d^10*e^10 - 9198080*a^5*b^5*c^11*d^9*e^11 + 7065344*a^5*b^6*c^10*d^8*e^12 - 512000*a^5*b^7*c^9*d^7*e^13
- 1801408*a^5*b^8*c^8*d^6*e^14 + 689216*a^5*b^9*c^7*d^5*e^15 + 72040*a^5*b^10*c^6*d^4*e^16 - 53392*a^5*b^11*c
^5*d^3*e^17 - 5868*a^5*b^12*c^4*d^2*e^18 - 13348864*a^6*b^2*c^13*d^10*e^10 + 12451840*a^6*b^3*c^12*d^9*e^11 -
333568*a^6*b^4*c^11*d^8*e^12 - 8225792*a^6*b^5*c^10*d^7*e^13 + 5401088*a^6*b^6*c^9*d^6*e^14 - 266240*a^6*b^7*c
^8*d^5*e^15 - 814480*a^6*b^8*c^7*d^4*e^16 + 147744*a^6*b^9*c^6*d^3*e^17 + 50168*a^6*b^10*c^5*d^2*e^18 - 156282
88*a^7*b^2*c^12*d^8*e^12 + 12132352*a^7*b^3*c^11*d^7*e^13 - 1033216*a^7*b^4*c^10*d^6*e^14 - 4097024*a^7*b^5*c^
9*d^5*e^15 + 2051840*a^7*b^6*c^8*d^4*e^16 + 85504*a^7*b^7*c^7*d^3*e^17 - 206656*a^7*b^8*c^6*d^2*e^18 - 9582592
*a^8*b^2*c^11*d^6*e^14 + 5896192*a^8*b^3*c^10*d^5*e^15 - 517120*a^8*b^4*c^9*d^4*e^16 - 1175552*a^8*b^5*c^8*d^3
*e^17 + 381248*a^8*b^6*c^7*d^2*e^18 - 2816000*a^9*b^2*c^10*d^4*e^16 + 1536000*a^9*b^3*c^9*d^3*e^17 - 116480*a^
9*b^4*c^8*d^2*e^18 - 367616*a^10*b^2*c^9*d^2*e^18 - 77824*a^11*b*c^9*d*e^19 - 768*a*b^4*c^16*d^18*e^2 + 6912*a
*b^5*c^15*d^17*e^3 - 25856*a*b^6*c^14*d^16*e^4 + 50176*a*b^7*c^13*d^15*e^5 - 47680*a*b^8*c^12*d^14*e^6 + 4032*
a*b^9*c^11*d^13*e^7 + 37816*a*b^10*c^10*d^12*e^8 - 33040*a*b^11*c^9*d^11*e^9 + 1332*a*b^12*c^8*d^10*e^10 + 140
20*a*b^13*c^7*d^9*e^11 - 8704*a*b^14*c^6*d^8*e^12 + 1592*a*b^15*c^5*d^7*e^13 + 276*a*b^16*c^4*d^6*e^14 - 108*a
*b^17*c^3*d^5*e^15 + 36864*a^3*b*c^17*d^17*e^3 + 450560*a^4*b*c^16*d^15*e^5 + 2293760*a^5*b*c^15*d^13*e^7 - 10
8*a^5*b^13*c^3*d*e^19 + 5922816*a^6*b*c^14*d^11*e^9 + 2424*a^6*b^11*c^4*d*e^19 + 8396800*a^7*b*c^13*d^9*e^11 -
21952*a^7*b^9*c^5*d*e^19 + 6529024*a^8*b*c^12*d^7*e^13 + 101056*a^8*b^7*c^6*d*e^19 + 2457600*a^9*b*c^11*d^5*e
^15 - 241920*a^9*b^5*c^7*d*e^19 + 204800*a^10*b*c^10*d^3*e^17 + 265216*a^10*b^3*c^8*d*e^19) - (-(9*b^13*e^7 +
2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*
e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^
3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^
9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^
2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^
5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5
*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d
^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^
7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^
6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e -
5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a
^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-
(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 +
4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6
- 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 384
0*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*
e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8
*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 22
80*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11
600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 49
0*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 1
4560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 -
15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6
+ 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3
- 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e
^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d
^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6
*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 +
120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*
c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e
+ 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a
^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5
*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*((d + e*x)^(1/2)*(-(9*b^13*e^7 + 2048*
a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 -
53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7
+ 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5
*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2
*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2
- 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2
+ 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^
5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6
*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5
*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*
a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*
c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*
c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*
a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*
a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4
*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10
- 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*
d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^
2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a
^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3
*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*
a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360
*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 800
0*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 12
5440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 -
11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^
6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*
e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*
a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d
^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220
*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^
9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*
d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(65536*a^16*c^9*d*e^22 - 32768*a^16*b*c^8*e
^23 - 8*a^10*b^13*c^2*e^23 + 192*a^11*b^11*c^3*e^23 - 1920*a^12*b^9*c^4*e^23 + 10240*a^13*b^7*c^5*e^23 - 30720
*a^14*b^5*c^6*e^23 + 49152*a^15*b^3*c^7*e^23 + 65536*a^6*c^19*d^21*e^2 + 655360*a^7*c^18*d^19*e^4 + 2949120*a^
8*c^17*d^17*e^6 + 7864320*a^9*c^16*d^15*e^8 + 13762560*a^10*c^15*d^13*e^10 + 16515072*a^11*c^14*d^11*e^12 + 13
762560*a^12*c^13*d^9*e^14 + 7864320*a^13*c^12*d^7*e^16 + 2949120*a^14*c^11*d^5*e^18 + 655360*a^15*c^10*d^3*e^2
0 + 16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b
^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^
13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13 + 3840*a^2*b^8*c^15*d^21*e^2 -
40320*a^2*b^9*c^14*d^20*e^3 + 188160*a^2*b^10*c^13*d^19*e^4 - 510720*a^2*b^11*c^12*d^18*e^5 + 882000*a^2*b^12
*c^11*d^17*e^6 - 985320*a^2*b^13*c^10*d^16*e^7 + 668160*a^2*b^14*c^9*d^15*e^8 - 188640*a^2*b^15*c^8*d^14*e^9 -
90720*a^2*b^16*c^7*d^13*e^10 + 109200*a^2*b^17*c^6*d^12*e^11 - 40320*a^2*b^18*c^5*d^11*e^12 + 3360*a^2*b^19*c
^4*d^10*e^13 + 1680*a^2*b^20*c^3*d^9*e^14 - 360*a^2*b^21*c^2*d^8*e^15 - 20480*a^3*b^6*c^16*d^21*e^2 + 215040*a
^3*b^7*c^15*d^20*e^3 - 985600*a^3*b^8*c^14*d^19*e^4 + 2553600*a^3*b^9*c^13*d^18*e^5 - 3991680*a^3*b^10*c^12*d^
17*e^6 + 3541440*a^3*b^11*c^11*d^16*e^7 - 981120*a^3*b^12*c^10*d^15*e^8 - 1454400*a^3*b^13*c^9*d^14*e^9 + 1848
000*a^3*b^14*c^8*d^13*e^10 - 844480*a^3*b^15*c^7*d^12*e^11 + 47040*a^3*b^16*c^6*d^11*e^12 + 105280*a^3*b^17*c^
5*d^10*e^13 - 33600*a^3*b^18*c^4*d^9*e^14 + 960*a^3*b^20*c^2*d^7*e^16 + 61440*a^4*b^4*c^17*d^21*e^2 - 645120*a
^4*b^5*c^16*d^20*e^3 + 2867200*a^4*b^6*c^15*d^19*e^4 - 6809600*a^4*b^7*c^14*d^18*e^5 + 8467200*a^4*b^8*c^13*d^
17*e^6 - 2513280*a^4*b^9*c^12*d^16*e^7 - 8279040*a^4*b^10*c^11*d^15*e^8 + 13132800*a^4*b^11*c^10*d^14*e^9 - 78
45600*a^4*b^12*c^9*d^13*e^10 + 327600*a^4*b^13*c^8*d^12*e^11 + 2157120*a^4*b^14*c^7*d^11*e^12 - 1024240*a^4*b^
15*c^6*d^10*e^13 + 39200*a^4*b^16*c^5*d^9*e^14 + 75600*a^4*b^17*c^4*d^8*e^15 - 9600*a^4*b^18*c^3*d^7*e^16 - 16
80*a^4*b^19*c^2*d^6*e^17 - 98304*a^5*b^2*c^18*d^21*e^2 + 1032192*a^5*b^3*c^17*d^20*e^3 - 4300800*a^5*b^4*c^16*
d^19*e^4 + 8171520*a^5*b^5*c^15*d^18*e^5 - 2580480*a^5*b^6*c^14*d^17*e^6 - 19740672*a^5*b^7*c^13*d^16*e^7 + 41
158656*a^5*b^8*c^12*d^15*e^8 - 32947200*a^5*b^9*c^11*d^14*e^9 + 887040*a^5*b^10*c^10*d^13*e^10 + 18695040*a^5*
b^11*c^9*d^12*e^11 - 12866112*a^5*b^12*c^8*d^11*e^12 + 1399776*a^5*b^13*c^7*d^10*e^13 + 1797600*a^5*b^14*c^6*d
^9*e^14 - 584640*a^5*b^15*c^5*d^8*e^15 - 51840*a^5*b^16*c^4*d^7*e^16 + 26208*a^5*b^17*c^3*d^6*e^17 + 2016*a^5*
b^18*c^2*d^5*e^18 + 2293760*a^6*b^2*c^17*d^19*e^4 - 19353600*a^6*b^4*c^15*d^17*e^6 + 53372928*a^6*b^5*c^14*d^1
6*e^7 - 57114624*a^6*b^6*c^13*d^15*e^8 - 4055040*a^6*b^7*c^12*d^14*e^9 + 73920000*a^6*b^8*c^11*d^13*e^10 - 704
70400*a^6*b^9*c^10*d^12*e^11 + 14074368*a^6*b^10*c^9*d^11*e^12 + 17522176*a^6*b^11*c^8*d^10*e^13 - 10721760*a^
6*b^12*c^7*d^9*e^14 + 226800*a^6*b^13*c^6*d^8*e^15 + 1056000*a^6*b^14*c^5*d^7*e^16 - 88032*a^6*b^15*c^4*d^6*e^
17 - 38304*a^6*b^16*c^3*d^5*e^18 - 1680*a^6*b^17*c^2*d^4*e^19 + 22118400*a^7*b^2*c^16*d^17*e^6 - 29245440*a^7*
b^3*c^15*d^16*e^7 - 24084480*a^7*b^4*c^14*d^15*e^8 + 130498560*a^7*b^5*c^13*d^14*e^9 - 160849920*a^7*b^6*c^12*
d^13*e^10 + 43929600*a^7*b^7*c^11*d^12*e^11 + 80593920*a^7*b^8*c^10*d^11*e^12 - 77186560*a^7*b^9*c^9*d^10*e^13
+ 11728640*a^7*b^10*c^8*d^9*e^14 + 12942720*a^7*b^11*c^7*d^8*e^15 - 4483200*a^7*b^12*c^6*d^7*e^16 - 678720*a^
7*b^13*c^5*d^6*e^17 + 250560*a^7*b^14*c^4*d^5*e^18 + 35520*a^7*b^15*c^3*d^4*e^19 + 960*a^7*b^16*c^2*d^3*e^20 +
82575360*a^8*b^2*c^15*d^15*e^8 - 117964800*a^8*b^3*c^14*d^14*e^9 + 12902400*a^8*b^4*c^13*d^13*e^10 + 18450432
0*a^8*b^5*c^12*d^12*e^11 - 227082240*a^8*b^6*c^11*d^11*e^12 + 62853120*a^8*b^7*c^10*d^10*e^13 + 67161600*a^8*b
^8*c^9*d^9*e^14 - 48787200*a^8*b^9*c^8*d^8*e^15 + 506880*a^8*b^10*c^7*d^7*e^16 + 6128640*a^8*b^11*c^6*d^6*e^17
- 367920*a^8*b^12*c^5*d^5*e^18 - 289800*a^8*b^13*c^4*d^4*e^19 - 21600*a^8*b^14*c^3*d^3*e^20 - 360*a^8*b^15*c^
2*d^2*e^21 + 172032000*a^9*b^2*c^14*d^13*e^10 - 223641600*a^9*b^3*c^13*d^12*e^11 + 56770560*a^9*b^4*c^12*d^11*
e^12 + 179773440*a^9*b^5*c^11*d^10*e^13 - 189235200*a^9*b^6*c^10*d^9*e^14 + 30412800*a^9*b^7*c^9*d^8*e^15 + 42
240000*a^9*b^8*c^8*d^7*e^16 - 15375360*a^9*b^9*c^7*d^6*e^17 - 3104640*a^9*b^10*c^6*d^5*e^18 + 1041600*a^9*b^11
*c^5*d^4*e^19 + 196000*a^9*b^12*c^4*d^3*e^20 + 8400*a^9*b^13*c^3*d^2*e^21 + 222953472*a^10*b^2*c^13*d^11*e^12
- 242221056*a^10*b^3*c^12*d^10*e^13 + 47308800*a^10*b^4*c^11*d^9*e^14 + 127733760*a^10*b^5*c^10*d^8*e^15 - 919
14240*a^10*b^6*c^9*d^7*e^16 - 1892352*a^10*b^7*c^8*d^6*e^17 + 15434496*a^10*b^8*c^7*d^5*e^18 - 739200*a^10*b^9
*c^6*d^4*e^19 - 887040*a^10*b^10*c^5*d^3*e^20 - 80640*a^10*b^11*c^4*d^2*e^21 + 185794560*a^11*b^2*c^12*d^9*e^1
4 - 154828800*a^11*b^3*c^11*d^8*e^15 + 7372800*a^11*b^4*c^10*d^7*e^16 + 60899328*a^11*b^5*c^9*d^6*e^17 - 21417
984*a^11*b^6*c^8*d^5*e^18 - 5806080*a^11*b^7*c^7*d^4*e^19 + 1881600*a^11*b^8*c^6*d^3*e^20 + 403200*a^11*b^9*c^
5*d^2*e^21 + 98304000*a^12*b^2*c^11*d^7*e^16 - 55050240*a^12*b^3*c^10*d^6*e^17 - 9031680*a^12*b^4*c^9*d^5*e^18
+ 15697920*a^12*b^5*c^8*d^4*e^19 - 573440*a^12*b^6*c^7*d^3*e^20 - 1075200*a^12*b^7*c^6*d^2*e^21 + 30965760*a^
13*b^2*c^10*d^5*e^18 - 8601600*a^13*b^3*c^9*d^4*e^19 - 4300800*a^13*b^4*c^8*d^3*e^20 + 1290240*a^13*b^5*c^7*d^
2*e^21 + 4915200*a^14*b^2*c^9*d^3*e^20 - 384*a*b^10*c^14*d^21*e^2 + 4032*a*b^11*c^13*d^20*e^3 - 19040*a*b^12*c
^12*d^19*e^4 + 53200*a*b^13*c^11*d^18*e^5 - 97200*a*b^14*c^10*d^17*e^6 + 120768*a*b^15*c^9*d^16*e^7 - 102144*a
*b^16*c^8*d^15*e^8 + 56160*a*b^17*c^7*d^14*e^9 - 16800*a*b^18*c^6*d^13*e^10 + 2016*a*b^20*c^4*d^11*e^12 - 688*
a*b^21*c^3*d^10*e^13 + 80*a*b^22*c^2*d^9*e^14 - 688128*a^6*b*c^18*d^20*e^3 - 6225920*a^7*b*c^17*d^18*e^5 - 250
67520*a^8*b*c^16*d^16*e^7 - 58982400*a^9*b*c^15*d^14*e^9 + 80*a^9*b^14*c^2*d*e^22 - 89456640*a^10*b*c^14*d^12*
e^11 - 1904*a^10*b^12*c^3*d*e^22 - 90832896*a^11*b*c^13*d^10*e^13 + 18816*a^11*b^10*c^4*d*e^22 - 61931520*a^12
*b*c^12*d^8*e^15 - 98560*a^12*b^8*c^5*d*e^22 - 27525120*a^13*b*c^11*d^6*e^17 + 286720*a^13*b^6*c^6*d*e^22 - 73
72800*a^14*b*c^10*d^4*e^19 - 430080*a^14*b^4*c^7*d*e^22 - 983040*a^15*b*c^9*d^2*e^21 + 229376*a^15*b^2*c^8*d*e
^22) + 53248*a^14*b*c^8*e^22 - 106496*a^14*c^9*d*e^21 + 12*a^8*b^13*c^2*e^22 - 292*a^9*b^11*c^3*e^22 + 2960*a^
10*b^9*c^4*e^22 - 16000*a^11*b^7*c^5*e^22 + 48640*a^12*b^5*c^6*e^22 - 78848*a^13*b^3*c^7*e^22 - 8192*a^5*c^18*
d^19*e^3 - 172032*a^6*c^17*d^17*e^5 - 1081344*a^7*c^16*d^15*e^7 - 3440640*a^8*c^15*d^13*e^9 - 6537216*a^9*c^14
*d^11*e^11 - 7913472*a^10*c^13*d^9*e^13 - 6193152*a^11*c^12*d^7*e^15 - 3047424*a^12*c^11*d^5*e^17 - 860160*a^1
3*c^10*d^3*e^19 + 8*b^10*c^13*d^19*e^3 - 76*b^11*c^12*d^18*e^4 + 300*b^12*c^11*d^17*e^5 - 612*b^13*c^10*d^16*e
^6 + 576*b^14*c^9*d^15*e^7 + 168*b^15*c^8*d^14*e^8 - 1176*b^16*c^7*d^13*e^9 + 1560*b^17*c^6*d^12*e^10 - 1128*b
^18*c^5*d^11*e^11 + 484*b^19*c^4*d^10*e^12 - 116*b^20*c^3*d^9*e^13 + 12*b^21*c^2*d^8*e^14 + 1280*a^2*b^6*c^15*
d^19*e^3 - 12160*a^2*b^7*c^14*d^18*e^4 + 44640*a^2*b^8*c^13*d^17*e^5 - 69360*a^2*b^9*c^12*d^16*e^6 - 10464*a^2
*b^10*c^11*d^15*e^7 + 225360*a^2*b^11*c^10*d^14*e^8 - 398160*a^2*b^12*c^9*d^13*e^9 + 336960*a^2*b^13*c^8*d^12*
e^10 - 123696*a^2*b^14*c^7*d^11*e^11 - 18656*a^2*b^15*c^6*d^10*e^12 + 33520*a^2*b^16*c^5*d^9*e^13 - 9360*a^2*b
^17*c^4*d^8*e^14 - 240*a^2*b^18*c^3*d^7*e^15 + 336*a^2*b^19*c^2*d^6*e^16 - 5120*a^3*b^4*c^16*d^19*e^3 + 48640*
a^3*b^5*c^15*d^18*e^4 - 165120*a^3*b^6*c^14*d^17*e^5 + 163200*a^3*b^7*c^13*d^16*e^6 + 439680*a^3*b^8*c^12*d^15
*e^7 - 1600320*a^3*b^9*c^11*d^14*e^8 + 2133600*a^3*b^10*c^10*d^13*e^9 - 1194960*a^3*b^11*c^9*d^12*e^10 - 19334
4*a^3*b^12*c^8*d^11*e^11 + 640112*a^3*b^13*c^7*d^10*e^12 - 295360*a^3*b^14*c^6*d^9*e^13 + 5520*a^3*b^15*c^5*d^
8*e^14 + 27840*a^3*b^16*c^4*d^7*e^15 - 3696*a^3*b^17*c^3*d^6*e^16 - 672*a^3*b^18*c^2*d^5*e^17 + 10240*a^4*b^2*
c^17*d^19*e^3 - 97280*a^4*b^3*c^16*d^18*e^4 + 276480*a^4*b^4*c^15*d^17*e^5 + 130560*a^4*b^5*c^14*d^16*e^6 - 24
11520*a^4*b^6*c^13*d^15*e^7 + 5552640*a^4*b^7*c^12*d^14*e^8 - 5066880*a^4*b^8*c^11*d^13*e^9 - 361920*a^4*b^9*c
^10*d^12*e^10 + 4744944*a^4*b^10*c^9*d^11*e^11 - 3629032*a^4*b^11*c^8*d^10*e^12 + 467240*a^4*b^12*c^7*d^9*e^13
+ 623160*a^4*b^13*c^6*d^8*e^14 - 233760*a^4*b^14*c^5*d^7*e^15 - 17304*a^4*b^15*c^4*d^6*e^16 + 11592*a^4*b^16*
c^3*d^5*e^17 + 840*a^4*b^17*c^2*d^4*e^18 - 92160*a^5*b^2*c^16*d^17*e^5 - 1201152*a^5*b^3*c^15*d^16*e^6 + 53698
56*a^5*b^4*c^14*d^15*e^7 - 8312832*a^5*b^5*c^13*d^14*e^8 + 666624*a^5*b^6*c^12*d^13*e^9 + 14476800*a^5*b^7*c^1
1*d^12*e^10 - 18111168*a^5*b^8*c^10*d^11*e^11 + 5528864*a^5*b^9*c^9*d^10*e^12 + 5015312*a^5*b^10*c^8*d^9*e^13
- 4081464*a^5*b^11*c^7*d^8*e^14 + 312000*a^5*b^12*c^6*d^7*e^15 + 431088*a^5*b^13*c^5*d^6*e^16 - 53424*a^5*b^14
*c^4*d^5*e^17 - 17304*a^5*b^15*c^3*d^4*e^18 - 672*a^5*b^16*c^2*d^3*e^19 - 3956736*a^6*b^2*c^15*d^15*e^7 + 4300
80*a^6*b^3*c^14*d^14*e^8 + 18063360*a^6*b^4*c^13*d^13*e^9 - 35223552*a^6*b^5*c^12*d^12*e^10 + 19342848*a^6*b^6
*c^11*d^11*e^11 + 16617216*a^6*b^7*c^10*d^10*e^12 - 25932480*a^6*b^8*c^9*d^9*e^13 + 7442400*a^6*b^9*c^8*d^8*e^
14 + 4193952*a^6*b^10*c^7*d^7*e^15 - 2232048*a^6*b^11*c^6*d^6*e^16 - 181776*a^6*b^12*c^5*d^5*e^17 + 131040*a^6
*b^13*c^4*d^4*e^18 + 15120*a^6*b^14*c^3*d^3*e^19 + 336*a^6*b^15*c^2*d^2*e^20 - 21504000*a^7*b^2*c^14*d^13*e^9
+ 16773120*a^7*b^3*c^13*d^12*e^10 + 27224064*a^7*b^4*c^12*d^11*e^11 - 63630336*a^7*b^5*c^11*d^10*e^12 + 355353
60*a^7*b^6*c^10*d^9*e^13 + 14204160*a^7*b^7*c^9*d^8*e^14 - 20488320*a^7*b^8*c^8*d^7*e^15 + 2821056*a^7*b^9*c^7
*d^6*e^16 + 2536416*a^7*b^10*c^6*d^5*e^17 - 356880*a^7*b^11*c^5*d^4*e^18 - 135360*a^7*b^12*c^4*d^3*e^19 - 7920
*a^7*b^13*c^3*d^2*e^20 - 52383744*a^8*b^2*c^13*d^11*e^11 + 42104832*a^8*b^3*c^12*d^10*e^12 + 26234880*a^8*b^4*
c^11*d^9*e^13 - 64834560*a^8*b^5*c^10*d^8*e^14 + 26772480*a^8*b^6*c^9*d^7*e^15 + 11579904*a^8*b^7*c^8*d^6*e^16
- 8456832*a^8*b^8*c^7*d^5*e^17 - 603840*a^8*b^9*c^6*d^4*e^18 + 584520*a^8*b^10*c^5*d^3*e^19 + 76500*a^8*b^11*
c^4*d^2*e^20 - 70103040*a^9*b^2*c^12*d^9*e^13 + 45803520*a^9*b^3*c^11*d^8*e^14 + 21934080*a^9*b^4*c^10*d^7*e^1
5 - 38836224*a^9*b^5*c^9*d^6*e^16 + 7314432*a^9*b^6*c^8*d^5*e^17 + 5905920*a^9*b^7*c^7*d^4*e^18 - 1030560*a^9*
b^8*c^6*d^3*e^19 - 381840*a^9*b^9*c^5*d^2*e^20 - 54190080*a^10*b^2*c^11*d^7*e^15 + 23482368*a^10*b^3*c^10*d^6*
e^16 + 14524416*a^10*b^4*c^9*d^5*e^17 - 11925504*a^10*b^5*c^8*d^4*e^18 - 713472*a^10*b^6*c^7*d^3*e^19 + 996480
*a^10*b^7*c^6*d^2*e^20 - 23371776*a^11*b^2*c^10*d^5*e^17 + 4239360*a^11*b^3*c^9*d^4*e^18 + 5114880*a^11*b^4*c^
8*d^3*e^19 - 1073664*a^11*b^5*c^7*d^2*e^20 - 4823040*a^12*b^2*c^9*d^3*e^19 - 384000*a^12*b^3*c^8*d^2*e^20 - 16
0*a*b^8*c^14*d^19*e^3 + 1520*a*b^9*c^13*d^18*e^4 - 5832*a*b^10*c^12*d^17*e^5 + 10812*a*b^11*c^11*d^16*e^6 - 63
36*a*b^12*c^10*d^15*e^7 - 13680*a*b^13*c^9*d^14*e^8 + 35280*a*b^14*c^8*d^13*e^9 - 37752*a*b^15*c^7*d^12*e^10 +
21888*a*b^16*c^6*d^11*e^11 - 5984*a*b^17*c^5*d^10*e^12 - 200*a*b^18*c^4*d^9*e^13 + 540*a*b^19*c^3*d^8*e^14 -
96*a*b^20*c^2*d^7*e^15 + 77824*a^5*b*c^17*d^18*e^4 + 1462272*a^6*b*c^16*d^16*e^6 + 8110080*a^7*b*c^15*d^14*e^8
- 96*a^7*b^14*c^2*d*e^21 + 22364160*a^8*b*c^14*d^12*e^10 + 2316*a^8*b^12*c^3*d*e^21 + 35954688*a^9*b*c^13*d^1
0*e^12 - 23176*a^9*b^10*c^4*d*e^21 + 35610624*a^10*b*c^12*d^8*e^14 + 122720*a^10*b^8*c^5*d*e^21 + 21676032*a^1
1*b*c^11*d^6*e^16 - 359680*a^11*b^6*c^6*d*e^21 + 7618560*a^12*b*c^10*d^4*e^18 + 538624*a^12*b^4*c^7*d*e^21 + 1
290240*a^13*b*c^9*d^2*e^20 - 272384*a^13*b^2*c^8*d*e^21))*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 -
9*b^4*e^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*
c^6*d^6*e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 4480
0*a^5*b^3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 -
98*b^8*c^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c
- b^2)^9)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 +
7840*a^2*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 1
7920*a^3*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c
- b^2)^9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 716
8*a^3*b*c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 -
1260*a*b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b
^6*c^4*d*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^
6*d*e^6 + 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2
*d*e^6*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 -
b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9
*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^
10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a
^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6
+ 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b
^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b
^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b
^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b
^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^
5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^
5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584
*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 614
40*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 +
32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8
+ 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*
c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4
- 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4
*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d
^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7
+ 30720*a^9*b^3*c^5*d*e^9)))^(1/2) + 32000*a^10*c^9*e^19 + 126*a^6*b^8*c^5*e^19 - 2028*a^7*b^6*c^6*e^19 + 121
76*a^8*b^4*c^7*e^19 - 32320*a^9*b^2*c^8*e^19 - 1024*a^2*c^17*d^16*e^3 - 7424*a^3*c^16*d^14*e^5 + 8960*a^4*c^15
*d^12*e^7 + 152320*a^5*c^14*d^10*e^9 + 439040*a^6*c^13*d^8*e^11 + 614656*a^7*c^12*d^6*e^13 + 471296*a^8*c^11*d
^4*e^15 + 190720*a^9*c^10*d^2*e^17 - 64*b^4*c^15*d^16*e^3 + 512*b^5*c^14*d^15*e^4 - 1804*b^6*c^13*d^14*e^5 + 3
668*b^7*c^12*d^13*e^6 - 4606*b^8*c^11*d^12*e^7 + 3248*b^9*c^10*d^11*e^8 - 322*b^10*c^9*d^10*e^9 - 1756*b^11*c^
8*d^9*e^10 + 1742*b^12*c^7*d^8*e^11 - 744*b^13*c^6*d^7*e^12 + 126*b^14*c^5*d^6*e^13 - 25152*a^2*b^2*c^15*d^14*
e^5 + 32704*a^2*b^3*c^14*d^13*e^6 + 13552*a^2*b^4*c^13*d^12*e^7 - 133728*a^2*b^5*c^12*d^11*e^8 + 251860*a^2*b^
6*c^11*d^10*e^9 - 230228*a^2*b^7*c^10*d^9*e^10 + 71706*a^2*b^8*c^9*d^8*e^11 + 44528*a^2*b^9*c^8*d^7*e^12 - 390
88*a^2*b^10*c^7*d^6*e^13 + 4788*a^2*b^11*c^6*d^5*e^14 + 1890*a^2*b^12*c^5*d^4*e^15 - 177856*a^3*b^2*c^14*d^12*
e^7 + 391552*a^3*b^3*c^13*d^11*e^8 - 517104*a^3*b^4*c^12*d^10*e^9 + 234864*a^3*b^5*c^11*d^9*e^10 + 308252*a^3*
b^6*c^10*d^8*e^11 - 458384*a^3*b^7*c^9*d^7*e^12 + 156688*a^3*b^8*c^8*d^6*e^13 + 43064*a^3*b^9*c^7*d^5*e^14 - 2
3100*a^3*b^10*c^6*d^4*e^15 - 2520*a^3*b^11*c^5*d^3*e^16 - 42560*a^4*b^2*c^13*d^10*e^9 + 705600*a^4*b^3*c^12*d^
9*e^10 - 1453200*a^4*b^4*c^11*d^8*e^11 + 987840*a^4*b^5*c^10*d^7*e^12 + 175420*a^4*b^6*c^9*d^6*e^13 - 428820*a
^4*b^7*c^8*d^5*e^14 + 61670*a^4*b^8*c^7*d^4*e^15 + 36960*a^4*b^9*c^6*d^3*e^16 + 1890*a^4*b^10*c^5*d^2*e^17 + 1
055040*a^5*b^2*c^12*d^8*e^11 + 349440*a^5*b^3*c^11*d^7*e^12 - 1803984*a^5*b^4*c^10*d^6*e^13 + 990192*a^5*b^5*c
^9*d^5*e^14 + 231476*a^5*b^6*c^8*d^4*e^15 - 182392*a^5*b^7*c^7*d^3*e^16 - 29736*a^5*b^8*c^6*d^2*e^17 + 1997632
*a^6*b^2*c^11*d^6*e^13 + 153664*a^6*b^3*c^10*d^5*e^14 - 1288112*a^6*b^4*c^9*d^4*e^15 + 271264*a^6*b^5*c^8*d^3*
e^16 + 170492*a^6*b^6*c^7*d^2*e^17 + 1362368*a^7*b^2*c^10*d^4*e^15 + 348544*a^7*b^3*c^9*d^3*e^16 - 408528*a^7*
b^4*c^8*d^2*e^17 + 277824*a^8*b^2*c^9*d^2*e^17 - 190720*a^9*b*c^9*d*e^18 + 512*a*b^2*c^16*d^16*e^3 - 4096*a*b^
3*c^15*d^15*e^4 + 13968*a*b^4*c^14*d^14*e^5 - 26096*a*b^5*c^13*d^13*e^6 + 26012*a*b^6*c^12*d^12*e^7 - 3192*a*b
^7*c^11*d^11*e^8 - 29288*a*b^8*c^10*d^10*e^9 + 41852*a*b^9*c^9*d^9*e^10 - 26004*a*b^10*c^8*d^8*e^11 + 5408*a*b
^11*c^7*d^7*e^12 + 1680*a*b^12*c^6*d^6*e^13 - 756*a*b^13*c^5*d^5*e^14 + 8192*a^2*b*c^16*d^15*e^4 + 51968*a^3*b
*c^15*d^13*e^6 - 53760*a^4*b*c^14*d^11*e^8 - 761600*a^5*b*c^13*d^9*e^10 - 756*a^5*b^9*c^5*d*e^18 - 1756160*a^6
*b*c^12*d^7*e^12 + 12180*a^6*b^7*c^6*d*e^18 - 1843968*a^7*b*c^11*d^5*e^14 - 73072*a^7*b^5*c^7*d*e^18 - 942592*
a^8*b*c^10*d^3*e^16 + 193472*a^8*b^3*c^8*d*e^18))*(-(9*b^13*e^7 + 2048*a^3*c^10*d^7 - 32*b^6*c^7*d^7 - 9*b^4*e
^7*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7 + 26880*a^6*b*c^6*e^7 - 53760*a^6*c^7*d*e^6 + 112*b^7*c^6*d^6*
e - 1536*a^2*b^2*c^9*d^7 + 2077*a^2*b^9*c^2*e^7 - 10656*a^3*b^7*c^3*e^7 + 30240*a^4*b^5*c^4*e^7 - 44800*a^5*b^
3*c^5*e^7 - 25*a^2*c^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 17920*a^4*c^9*d^5*e^2 + 35840*a^5*c^8*d^3*e^4 - 98*b^8*c
^5*d^5*e^2 - 35*b^9*c^4*d^4*e^3 + 70*b^10*c^3*d^3*e^4 - 14*b^11*c^2*d^2*e^5 + 35*c^4*d^4*e^3*(-(4*a*c - b^2)^9
)^(1/2) - 213*a*b^11*c*e^7 - 21*b^12*c*d*e^6 - 1344*a^2*b^4*c^7*d^5*e^2 - 10080*a^2*b^5*c^6*d^4*e^3 + 7840*a^2
*b^6*c^5*d^3*e^4 + 1008*a^2*b^7*c^4*d^2*e^5 - 7168*a^3*b^2*c^8*d^5*e^2 + 35840*a^3*b^3*c^7*d^4*e^3 - 17920*a^3
*b^4*c^6*d^3*e^4 - 12544*a^3*b^5*c^5*d^2*e^5 + 44800*a^4*b^3*c^6*d^2*e^5 + 14*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^
9)^(1/2) + 51*a*b^2*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 1344*a*b^5*c^7*d^6*e + 532*a*b^10*c^2*d*e^6 - 7168*a^3*b*
c^9*d^6*e + 21*b^3*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 896*a*b^6*c^6*d^5*e^2 + 1120*a*b^7*c^5*d^4*e^3 - 1260*a*
b^8*c^4*d^3*e^4 + 98*a*b^9*c^3*d^2*e^5 + 5376*a^2*b^3*c^8*d^6*e - 5418*a^2*b^8*c^3*d*e^6 + 28224*a^3*b^6*c^4*d
*e^6 - 44800*a^4*b*c^8*d^4*e^3 - 78400*a^4*b^4*c^5*d*e^6 - 53760*a^5*b*c^7*d^2*e^5 + 107520*a^5*b^2*c^6*d*e^6
+ 154*a*c^3*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^4*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^6*(
-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^
5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b
^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10
+ 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*
d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480
*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*
d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d
^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d
^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*
d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^
6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c
^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5
*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b
^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a
^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240
*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9
*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a
^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8
*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 +
6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720
*a^9*b^3*c^5*d*e^9)))^(1/2)*2i

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sympy [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(e*x+d)**(3/2)/(c*x**2+b*x+a)**2,x)

[Out]

Timed out

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