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

Optimal. Leaf size=429 \[ \frac {\sqrt {c} \left (-2 c e \left (d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (\sqrt {b^2-4 a c}+b\right )+2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \sqrt {b-\sqrt {b^2-4 a c}} \left (a e^2-b d e+c d^2\right )^2}-\frac {\sqrt {c} \left (-2 c e \left (-d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (b-\sqrt {b^2-4 a c}\right )+2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {\sqrt {b^2-4 a c}+b}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \sqrt {\sqrt {b^2-4 a c}+b} \left (a e^2-b d e+c d^2\right )^2}+\frac {e^2 x}{2 d \left (d+e x^2\right ) \left (a e^2-b d e+c d^2\right )}+\frac {e^{3/2} (2 c d-b e) \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (a e^2-b d e+c d^2\right )^2}+\frac {e^{3/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{2 d^{3/2} \left (a e^2-b d e+c d^2\right )} \]

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Rubi [A]  time = 1.41, antiderivative size = 429, normalized size of antiderivative = 1.00, number of steps used = 8, number of rules used = 4, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {1170, 199, 205, 1166} \begin {gather*} \frac {\sqrt {c} \left (-2 c e \left (d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (\sqrt {b^2-4 a c}+b\right )+2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \sqrt {b-\sqrt {b^2-4 a c}} \left (a e^2-b d e+c d^2\right )^2}-\frac {\sqrt {c} \left (-2 c e \left (-d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (b-\sqrt {b^2-4 a c}\right )+2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {\sqrt {b^2-4 a c}+b}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \sqrt {\sqrt {b^2-4 a c}+b} \left (a e^2-b d e+c d^2\right )^2}+\frac {e^2 x}{2 d \left (d+e x^2\right ) \left (a e^2-b d e+c d^2\right )}+\frac {e^{3/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{2 d^{3/2} \left (a e^2-b d e+c d^2\right )}+\frac {e^{3/2} (2 c d-b e) \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (a e^2-b d e+c d^2\right )^2} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

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

Rule 199

Int[((a_) + (b_.)*(x_)^(n_))^(p_), x_Symbol] :> -Simp[(x*(a + b*x^n)^(p + 1))/(a*n*(p + 1)), x] + Dist[(n*(p +
1) + 1)/(a*n*(p + 1)), Int[(a + b*x^n)^(p + 1), x], x] /; FreeQ[{a, b}, x] && IGtQ[n, 0] && LtQ[p, -1] && (In
tegerQ[2*p] || (n == 2 && IntegerQ[4*p]) || (n == 2 && IntegerQ[3*p]) || Denominator[p + 1/n] < Denominator[p]
)

Rule 205

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

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]

Rule 1170

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

Rubi steps

\begin {align*} \int \frac {1}{\left (d+e x^2\right )^2 \left (a+b x^2+c x^4\right )} \, dx &=\int \left (\frac {e^2}{\left (c d^2-b d e+a e^2\right ) \left (d+e x^2\right )^2}-\frac {e^2 (-2 c d+b e)}{\left (c d^2-b d e+a e^2\right )^2 \left (d+e x^2\right )}+\frac {c^2 d^2+b^2 e^2-c e (2 b d+a e)-c e (2 c d-b e) x^2}{\left (c d^2-b d e+a e^2\right )^2 \left (a+b x^2+c x^4\right )}\right ) \, dx\\ &=\frac {\int \frac {c^2 d^2+b^2 e^2-c e (2 b d+a e)-c e (2 c d-b e) x^2}{a+b x^2+c x^4} \, dx}{\left (c d^2-b d e+a e^2\right )^2}+\frac {\left (e^2 (2 c d-b e)\right ) \int \frac {1}{d+e x^2} \, dx}{\left (c d^2-b d e+a e^2\right )^2}+\frac {e^2 \int \frac {1}{\left (d+e x^2\right )^2} \, dx}{c d^2-b d e+a e^2}\\ &=\frac {e^2 x}{2 d \left (c d^2-b d e+a e^2\right ) \left (d+e x^2\right )}+\frac {e^{3/2} (2 c d-b e) \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2}+\frac {e^2 \int \frac {1}{d+e x^2} \, dx}{2 d \left (c d^2-b d e+a e^2\right )}+\frac {\left (c \left (2 c^2 d^2+b \left (b+\sqrt {b^2-4 a c}\right ) e^2-2 c e \left (b d+\sqrt {b^2-4 a c} d+a e\right )\right )\right ) \int \frac {1}{\frac {b}{2}-\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{2 \sqrt {b^2-4 a c} \left (c d^2-b d e+a e^2\right )^2}-\frac {\left (c \left (e (2 c d-b e)+\frac {2 c^2 d^2+b^2 e^2-2 c e (b d+a e)}{\sqrt {b^2-4 a c}}\right )\right ) \int \frac {1}{\frac {b}{2}+\frac {1}{2} \sqrt {b^2-4 a c}+c x^2} \, dx}{2 \left (c d^2-b d e+a e^2\right )^2}\\ &=\frac {e^2 x}{2 d \left (c d^2-b d e+a e^2\right ) \left (d+e x^2\right )}+\frac {\sqrt {c} \left (2 c^2 d^2+b \left (b+\sqrt {b^2-4 a c}\right ) e^2-2 c e \left (b d+\sqrt {b^2-4 a c} d+a e\right )\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b^2-4 a c} \sqrt {b-\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}-\frac {\sqrt {c} \left (e (2 c d-b e)+\frac {2 c^2 d^2+b^2 e^2-2 c e (b d+a e)}{\sqrt {b^2-4 a c}}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b+\sqrt {b^2-4 a c}}}\right )}{\sqrt {2} \sqrt {b+\sqrt {b^2-4 a c}} \left (c d^2-b d e+a e^2\right )^2}+\frac {e^{3/2} (2 c d-b e) \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{\sqrt {d} \left (c d^2-b d e+a e^2\right )^2}+\frac {e^{3/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right )}{2 d^{3/2} \left (c d^2-b d e+a e^2\right )}\\ \end {align*}

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Mathematica [A]  time = 0.75, size = 354, normalized size = 0.83 \begin {gather*} \frac {\frac {\sqrt {2} \sqrt {c} \left (-2 c e \left (d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (\sqrt {b^2-4 a c}+b\right )+2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {b-\sqrt {b^2-4 a c}}}\right )}{\sqrt {b^2-4 a c} \sqrt {b-\sqrt {b^2-4 a c}}}+\frac {\sqrt {2} \sqrt {c} \left (2 c e \left (-d \sqrt {b^2-4 a c}+a e+b d\right )+b e^2 \left (\sqrt {b^2-4 a c}-b\right )-2 c^2 d^2\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} x}{\sqrt {\sqrt {b^2-4 a c}+b}}\right )}{\sqrt {b^2-4 a c} \sqrt {\sqrt {b^2-4 a c}+b}}+\frac {e^2 x \left (e (a e-b d)+c d^2\right )}{d \left (d+e x^2\right )}+\frac {e^{3/2} \tan ^{-1}\left (\frac {\sqrt {e} x}{\sqrt {d}}\right ) \left (e (a e-3 b d)+5 c d^2\right )}{d^{3/2}}}{2 \left (e (a e-b d)+c d^2\right )^2} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

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

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IntegrateAlgebraic [F]  time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {1}{\left (d+e x^2\right )^2 \left (a+b x^2+c x^4\right )} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

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

[Out]

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

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Timed out

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giac [B]  time = 2.51, size = 13225, normalized size = 30.83

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

1/2*(5*c*d^2*e^2 - 3*b*d*e^3 + a*e^4)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/((c^2*d^5 - 2*b*c*d^4*e + b^2*d^3*e^2
+ 2*a*c*d^3*e^2 - 2*a*b*d^2*e^3 + a^2*d*e^4)*sqrt(d)) - 2*(2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^6*c^3
- b^7*c^3 - 24*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 - 11*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*
b^5*c^4 + 12*a*b^5*c^4 + 3*b^6*c^4 + 96*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 + 88*sqrt(2)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^5 - 48*a^2*b^3*c^5 + 16*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^4*c^5 - 2
8*a*b^4*c^5 + 5*b^5*c^5 - 128*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^6 - 176*sqrt(2)*sqrt(b*c + sqrt(b^
2 - 4*a*c)*c)*a^2*b*c^6 + 64*a^3*b*c^6 - 80*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^6 + 80*a^2*b^2*c^6
- 7*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^3*c^6 - 24*a*b^3*c^6 - 11*b^4*c^6 + 64*sqrt(2)*sqrt(b*c + sqrt(
b^2 - 4*a*c)*c)*a^2*c^7 - 64*a^3*c^7 + 44*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^7 + 16*a^2*b*c^7 - 8*a
*b^2*c^7 - 8*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*c^8 + 80*a^2*c^8 + 16*a*b*c^8 - 2*sqrt(2)*sqrt(b^2 - 4*
a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^5*c^3 + sqrt(b^2 - 4*a*c)*b^6*c^3 + 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b
*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 + 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^4*c^4 - 1
2*sqrt(b^2 - 4*a*c)*a*b^4*c^4 - 5*sqrt(b^2 - 4*a*c)*b^5*c^4 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2
- 4*a*c)*c)*a^2*b*c^5 - 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^5 + 48*sqrt(b^2
- 4*a*c)*a^2*b^2*c^5 - 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^3*c^5 + 40*sqrt(b^2 - 4*
a*c)*a*b^3*c^5 + 7*sqrt(b^2 - 4*a*c)*b^4*c^5 + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^
2*c^6 - 64*sqrt(b^2 - 4*a*c)*a^3*c^6 + 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^6 -
80*sqrt(b^2 - 4*a*c)*a^2*b*c^6 + 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^2*c^6 - 56*sqrt
(b^2 - 4*a*c)*a*b^2*c^6 - 3*sqrt(b^2 - 4*a*c)*b^3*c^6 - 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a
*c)*c)*a*c^7 + 112*sqrt(b^2 - 4*a*c)*a^2*c^7 + 60*sqrt(b^2 - 4*a*c)*a*b*c^7 - 24*sqrt(b^2 - 4*a*c)*a*c^8 + 2*(
b^2 - 4*a*c)*b^4*c^4 - 16*(b^2 - 4*a*c)*a*b^2*c^5 - 12*(b^2 - 4*a*c)*b^3*c^5 + 32*(b^2 - 4*a*c)*a^2*c^6 + 48*(
b^2 - 4*a*c)*a*b*c^6 + 14*(b^2 - 4*a*c)*b^2*c^6 + 8*(b^2 - 4*a*c)*a*c^7)*arctan(2*sqrt(1/2)*x/sqrt((b*c^2*d^4
- 2*b^2*c*d^3*e + b^3*d^2*e^2 + 2*a*b*c*d^2*e^2 - 2*a*b^2*d*e^3 + a^2*b*e^4 + sqrt((b*c^2*d^4 - 2*b^2*c*d^3*e
+ b^3*d^2*e^2 + 2*a*b*c*d^2*e^2 - 2*a*b^2*d*e^3 + a^2*b*e^4)^2 - 4*(a*c^2*d^4 - 2*a*b*c*d^3*e + a*b^2*d^2*e^2
+ 2*a^2*c*d^2*e^2 - 2*a^2*b*d*e^3 + a^3*e^4)*(c^3*d^4 - 2*b*c^2*d^3*e + b^2*c*d^2*e^2 + 2*a*c^2*d^2*e^2 - 2*a*
b*c*d*e^3 + a^2*c*e^4)))/(c^3*d^4 - 2*b*c^2*d^3*e + b^2*c*d^2*e^2 + 2*a*c^2*d^2*e^2 - 2*a*b*c*d*e^3 + a^2*c*e^
4)))/((sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^8*c - 16*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c^2 -
5*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^7*c^2 - 2*b^8*c^2 + 96*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2
*b^4*c^3 + 60*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^5*c^3 + 7*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^
6*c^3 + 16*a*b^6*c^3 + 8*b^7*c^3 - 256*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^4 - 240*sqrt(2)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^4 - 84*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 - 3*sqrt(2)*sqrt
(b*c + sqrt(b^2 - 4*a*c)*c)*b^5*c^4 - 32*a*b^5*c^4 - 6*b^6*c^4 + 256*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a
^4*c^5 + 320*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^5 + 336*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a
^2*b^2*c^5 - 256*a^3*b^2*c^5 + 72*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^5 - 128*a^2*b^3*c^5 - 24*a*b
^4*c^5 - 448*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^6 + 512*a^4*c^6 - 240*sqrt(2)*sqrt(b*c + sqrt(b^2 -
4*a*c)*c)*a^2*b*c^6 + 512*a^3*b*c^6 - 24*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^6 + 224*a^2*b^2*c^6
+ 96*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*c^7 - 128*a^3*c^7 - 16*a*b^2*c^7 + 64*a^2*c^8 - sqrt(2)*sqrt(
b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^7*c + 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)
*c)*a*b^5*c^2 + 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^6*c^2 - 48*sqrt(2)*sqrt(b^2 - 4*
a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 - 52*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a*b^4*c^3 - 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^5*c^3 + 64*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^4 + 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a
^2*b^2*c^4 + 72*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 + 3*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*b^4*c^4 - 24*sqrt(b^2 - 4*a*c)*a*b^4*c^4 - 192*sqrt(2)*sqrt(b^2 - 4*a*c)*s
qrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^5 - 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b*c
^5 - 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^2*c^5 + 192*sqrt(b^2 - 4*a*c)*a^2*b^2*c^
5 + 32*sqrt(b^2 - 4*a*c)*a*b^3*c^5 + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*c^6 - 38
4*sqrt(b^2 - 4*a*c)*a^3*c^6 + 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b*c^6 - 128*sqrt(
b^2 - 4*a*c)*a^2*b*c^6 + 8*sqrt(b^2 - 4*a*c)*a*b^2*c^6 + 96*sqrt(b^2 - 4*a*c)*a^2*c^7 - 16*sqrt(b^2 - 4*a*c)*a
*b*c^7 + 2*(b^2 - 4*a*c)*b^6*c^2 - 24*(b^2 - 4*a*c)*a*b^4*c^3 - 8*(b^2 - 4*a*c)*b^5*c^3 + 96*(b^2 - 4*a*c)*a^2
*b^2*c^4 + 64*(b^2 - 4*a*c)*a*b^3*c^4 + 6*(b^2 - 4*a*c)*b^4*c^4 - 128*(b^2 - 4*a*c)*a^3*c^5 - 128*(b^2 - 4*a*c
)*a^2*b*c^5 - 48*(b^2 - 4*a*c)*a*b^2*c^5 + 96*(b^2 - 4*a*c)*a^2*c^6 + 64*(b^2 - 4*a*c)*a*b*c^6)*d^2*abs(c) + 4
*(3*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c^2 + 4*a*b^7*c^2 - 36*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*
c)*a^2*b^4*c^3 - 4*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^5*c^3 - 48*a^2*b^5*c^3 - 10*a*b^6*c^3 + 144*sqr
t(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^4 + 32*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^4 + 19
2*a^3*b^3*c^4 - sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 + 56*a^2*b^4*c^4 + 8*a*b^5*c^4 - 192*sqrt(2)
*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*c^5 - 64*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^5 - 256*a^4*b*c^
5 - 8*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 + 32*a^3*b^2*c^5 + 2*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a*b^3*c^5 - 6*a*b^4*c^5 + 48*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^6 - 384*a^4*c^6 - 8*sqrt(2
)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b*c^6 - 128*a^3*b*c^6 + 16*a^2*b^2*c^6 + 8*a*b^3*c^6 + 32*a^3*c^7 - 32*a
^2*b*c^7 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c - 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sq
rt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^2 - 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^5*
c^2 + 4*sqrt(b^2 - 4*a*c)*a*b^6*c^2 + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^3
+ 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 + 3*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt
(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^3 - 48*sqrt(b^2 - 4*a*c)*a^2*b^4*c^3 - 10*sqrt(b^2 - 4*a*c)*a*b^5*c^3 - 64
*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*c^4 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + s
qrt(b^2 - 4*a*c)*c)*a^3*b*c^4 - 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^4 + 192
*sqrt(b^2 - 4*a*c)*a^3*b^2*c^4 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 + 80*sq
rt(b^2 - 4*a*c)*a^2*b^3*c^4 + 16*sqrt(b^2 - 4*a*c)*a*b^4*c^4 + 112*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b
^2 - 4*a*c)*c)*a^3*c^5 - 256*sqrt(b^2 - 4*a*c)*a^4*c^5 + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*
a*c)*c)*a^2*b*c^5 - 160*sqrt(b^2 - 4*a*c)*a^3*b*c^5 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)
*c)*a*b^2*c^5 - 96*sqrt(b^2 - 4*a*c)*a^2*b^2*c^5 - 18*sqrt(b^2 - 4*a*c)*a*b^3*c^5 - 24*sqrt(2)*sqrt(b^2 - 4*a*
c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*c^6 + 128*sqrt(b^2 - 4*a*c)*a^3*c^6 + 40*sqrt(b^2 - 4*a*c)*a^2*b*c^6 +
8*sqrt(b^2 - 4*a*c)*a*b^2*c^6 - 16*sqrt(b^2 - 4*a*c)*a^2*c^7 + 8*(b^2 - 4*a*c)*a*b^3*c^4 - 32*(b^2 - 4*a*c)*a^
2*b*c^5 - 12*(b^2 - 4*a*c)*a*b^2*c^5 - 16*(b^2 - 4*a*c)*a^2*c^6)*d*abs(c)*e - (sqrt(2)*sqrt(b*c + sqrt(b^2 - 4
*a*c)*c)*a*b^8 - 16*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c + sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c
)*a*b^7*c + 6*a*b^8*c + 96*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^2 - 12*sqrt(2)*sqrt(b*c + sqrt(b^
2 - 4*a*c)*c)*a^2*b^5*c^2 - sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c^2 - 80*a^2*b^6*c^2 - 12*a*b^7*c^2
- 256*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^3 + 48*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^3
*c^3 - 20*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^3 + 384*a^3*b^4*c^3 - 5*sqrt(2)*sqrt(b*c + sqrt(b^
2 - 4*a*c)*c)*a*b^5*c^3 + 80*a^2*b^5*c^3 + 10*a*b^6*c^3 + 256*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^5*c^4
- 64*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^4 + 208*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c
^4 - 768*a^4*b^2*c^4 + 56*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^4 - 64*a^3*b^3*c^4 + 4*sqrt(2)*sqr
t(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 - 24*a^2*b^4*c^4 - 12*a*b^5*c^4 - 448*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a
*c)*c)*a^4*c^5 + 512*a^5*c^5 - 144*sqrt(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^5 - 256*a^4*b*c^5 - 40*sqrt
(2)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 - 32*a^3*b^2*c^5 + 32*a^2*b^3*c^5 + 16*a*b^4*c^5 + 96*sqrt(2)*
sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^6 - 128*a^4*c^6 + 64*a^3*b*c^6 - 80*a^2*b^2*c^6 + 64*a^3*c^7 + sqrt(2)*s
qrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^7 - 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*
a*c)*c)*a^2*b^5*c + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^6*c + 8*sqrt(b^2 - 4*a*c)*a*
b^7*c + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^2 - 20*sqrt(2)*sqrt(b^2 - 4*a*c
)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^2 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^
5*c^2 - 96*sqrt(b^2 - 4*a*c)*a^2*b^5*c^2 - 20*sqrt(b^2 - 4*a*c)*a*b^6*c^2 - 64*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(
b*c + sqrt(b^2 - 4*a*c)*c)*a^4*b*c^3 + 112*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c
^3 - 8*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 + 384*sqrt(b^2 - 4*a*c)*a^3*b^3*c
^3 - 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^4*c^3 + 136*sqrt(b^2 - 4*a*c)*a^2*b^4*c^3
+ 32*sqrt(b^2 - 4*a*c)*a*b^5*c^3 - 192*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^4*c^4 + 48
*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*b*c^4 - 512*sqrt(b^2 - 4*a*c)*a^4*b*c^4 + 40*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^4 - 128*sqrt(b^2 - 4*a*c)*a^3*b^2*c^4 + 4*sq
rt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 - 160*sqrt(b^2 - 4*a*c)*a^2*b^3*c^4 - 36*sqr
t(b^2 - 4*a*c)*a*b^4*c^4 + 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^3*c^5 - 384*sqrt(b^2
- 4*a*c)*a^4*c^5 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c + sqrt(b^2 - 4*a*c)*c)*a^2*b*c^5 + 128*sqrt(b^2 - 4*
a*c)*a^3*b*c^5 + 88*sqrt(b^2 - 4*a*c)*a^2*b^2*c^5 + 16*sqrt(b^2 - 4*a*c)*a*b^3*c^5 + 96*sqrt(b^2 - 4*a*c)*a^3*
c^6 - 48*sqrt(b^2 - 4*a*c)*a^2*b*c^6 + 2*(b^2 - 4*a*c)*a*b^6*c - 24*(b^2 - 4*a*c)*a^2*b^4*c^2 - 8*(b^2 - 4*a*c
)*a*b^5*c^2 + 96*(b^2 - 4*a*c)*a^3*b^2*c^3 + 64*(b^2 - 4*a*c)*a^2*b^3*c^3 + 22*(b^2 - 4*a*c)*a*b^4*c^3 - 128*(
b^2 - 4*a*c)*a^4*c^4 - 128*(b^2 - 4*a*c)*a^3*b*c^4 - 112*(b^2 - 4*a*c)*a^2*b^2*c^4 - 24*(b^2 - 4*a*c)*a*b^3*c^
4 + 96*(b^2 - 4*a*c)*a^3*c^5 + 32*(b^2 - 4*a*c)*a^2*b*c^5)*abs(c)*e^2) + 2*(2*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*b^6*c^3 + b^7*c^3 - 24*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 - 11*sqrt(2)*sqrt(b*c - sqrt(
b^2 - 4*a*c)*c)*b^5*c^4 - 12*a*b^5*c^4 - 3*b^6*c^4 + 96*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 +
88*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^5 + 48*a^2*b^3*c^5 + 16*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c
)*c)*b^4*c^5 + 28*a*b^4*c^5 - 5*b^5*c^5 - 128*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^6 - 176*sqrt(2)*sq
rt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^6 - 64*a^3*b*c^6 - 80*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^6
- 80*a^2*b^2*c^6 - 7*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^3*c^6 + 24*a*b^3*c^6 + 11*b^4*c^6 + 64*sqrt(2)*
sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*c^7 + 64*a^3*c^7 + 44*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b*c^7 - 16
*a^2*b*c^7 + 8*a*b^2*c^7 - 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*c^8 - 80*a^2*c^8 - 16*a*b*c^8 + 2*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^5*c^3 + sqrt(b^2 - 4*a*c)*b^6*c^3 - 16*sqrt(2)*sqrt(b^2
- 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 - 11*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c
)*c)*b^4*c^4 - 12*sqrt(b^2 - 4*a*c)*a*b^4*c^4 - 5*sqrt(b^2 - 4*a*c)*b^5*c^4 + 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqr
t(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^5 + 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^
5 + 48*sqrt(b^2 - 4*a*c)*a^2*b^2*c^5 + 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^3*c^5 +
40*sqrt(b^2 - 4*a*c)*a*b^3*c^5 + 7*sqrt(b^2 - 4*a*c)*b^4*c^5 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^
2 - 4*a*c)*c)*a^2*c^6 - 64*sqrt(b^2 - 4*a*c)*a^3*c^6 - 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*
c)*c)*a*b*c^6 - 80*sqrt(b^2 - 4*a*c)*a^2*b*c^6 - 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b
^2*c^6 - 56*sqrt(b^2 - 4*a*c)*a*b^2*c^6 - 3*sqrt(b^2 - 4*a*c)*b^3*c^6 + 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a*c^7 + 112*sqrt(b^2 - 4*a*c)*a^2*c^7 + 60*sqrt(b^2 - 4*a*c)*a*b*c^7 - 24*sqrt(b^2 - 4*
a*c)*a*c^8 - 2*(b^2 - 4*a*c)*b^4*c^4 + 16*(b^2 - 4*a*c)*a*b^2*c^5 + 12*(b^2 - 4*a*c)*b^3*c^5 - 32*(b^2 - 4*a*c
)*a^2*c^6 - 48*(b^2 - 4*a*c)*a*b*c^6 - 14*(b^2 - 4*a*c)*b^2*c^6 - 8*(b^2 - 4*a*c)*a*c^7)*arctan(2*sqrt(1/2)*x/
sqrt((b*c^2*d^4 - 2*b^2*c*d^3*e + b^3*d^2*e^2 + 2*a*b*c*d^2*e^2 - 2*a*b^2*d*e^3 + a^2*b*e^4 - sqrt((b*c^2*d^4
- 2*b^2*c*d^3*e + b^3*d^2*e^2 + 2*a*b*c*d^2*e^2 - 2*a*b^2*d*e^3 + a^2*b*e^4)^2 - 4*(a*c^2*d^4 - 2*a*b*c*d^3*e
+ a*b^2*d^2*e^2 + 2*a^2*c*d^2*e^2 - 2*a^2*b*d*e^3 + a^3*e^4)*(c^3*d^4 - 2*b*c^2*d^3*e + b^2*c*d^2*e^2 + 2*a*c^
2*d^2*e^2 - 2*a*b*c*d*e^3 + a^2*c*e^4)))/(c^3*d^4 - 2*b*c^2*d^3*e + b^2*c*d^2*e^2 + 2*a*c^2*d^2*e^2 - 2*a*b*c*
d*e^3 + a^2*c*e^4)))/((sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^8*c - 16*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a*b^6*c^2 - 5*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^7*c^2 + 2*b^8*c^2 + 96*sqrt(2)*sqrt(b*c - sqrt(b^2
- 4*a*c)*c)*a^2*b^4*c^3 + 60*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^5*c^3 + 7*sqrt(2)*sqrt(b*c - sqrt(b^
2 - 4*a*c)*c)*b^6*c^3 - 16*a*b^6*c^3 - 8*b^7*c^3 - 256*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^4 - 2
40*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^4 - 84*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4
- 3*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^5*c^4 + 32*a*b^5*c^4 + 6*b^6*c^4 + 256*sqrt(2)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^4*c^5 + 320*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^5 + 336*sqrt(2)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^2*b^2*c^5 + 256*a^3*b^2*c^5 + 72*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^5 + 128*a^2*
b^3*c^5 + 24*a*b^4*c^5 - 448*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^6 - 512*a^4*c^6 - 240*sqrt(2)*sqrt(
b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^6 - 512*a^3*b*c^6 - 24*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^6 -
224*a^2*b^2*c^6 + 96*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*c^7 + 128*a^3*c^7 + 16*a*b^2*c^7 - 64*a^2*c^8
+ sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^7*c - 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - s
qrt(b^2 - 4*a*c)*c)*a*b^5*c^2 - 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^6*c^2 + 48*sqrt(
2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 + 52*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqr
t(b^2 - 4*a*c)*c)*a*b^4*c^3 + 7*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^5*c^3 - 64*sqrt(2)
*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^4 - 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b
^2 - 4*a*c)*c)*a^2*b^2*c^4 - 72*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 - 3*sqrt(2
)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*b^4*c^4 - 24*sqrt(b^2 - 4*a*c)*a*b^4*c^4 + 192*sqrt(2)*sqr
t(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^5 + 176*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4
*a*c)*c)*a^2*b*c^5 + 56*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^2*c^5 + 192*sqrt(b^2 - 4
*a*c)*a^2*b^2*c^5 + 32*sqrt(b^2 - 4*a*c)*a*b^3*c^5 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^2*c^6 - 384*sqrt(b^2 - 4*a*c)*a^3*c^6 - 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b
*c^6 - 128*sqrt(b^2 - 4*a*c)*a^2*b*c^6 + 8*sqrt(b^2 - 4*a*c)*a*b^2*c^6 + 96*sqrt(b^2 - 4*a*c)*a^2*c^7 - 16*sqr
t(b^2 - 4*a*c)*a*b*c^7 - 2*(b^2 - 4*a*c)*b^6*c^2 + 24*(b^2 - 4*a*c)*a*b^4*c^3 + 8*(b^2 - 4*a*c)*b^5*c^3 - 96*(
b^2 - 4*a*c)*a^2*b^2*c^4 - 64*(b^2 - 4*a*c)*a*b^3*c^4 - 6*(b^2 - 4*a*c)*b^4*c^4 + 128*(b^2 - 4*a*c)*a^3*c^5 +
128*(b^2 - 4*a*c)*a^2*b*c^5 + 48*(b^2 - 4*a*c)*a*b^2*c^5 - 96*(b^2 - 4*a*c)*a^2*c^6 - 64*(b^2 - 4*a*c)*a*b*c^6
)*d^2*abs(c) + 4*(3*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c^2 - 4*a*b^7*c^2 - 36*sqrt(2)*sqrt(b*c - sq
rt(b^2 - 4*a*c)*c)*a^2*b^4*c^3 - 4*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^5*c^3 + 48*a^2*b^5*c^3 + 10*a*b
^6*c^3 + 144*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^2*c^4 + 32*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*
a^2*b^3*c^4 - 192*a^3*b^3*c^4 - sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 - 56*a^2*b^4*c^4 - 8*a*b^5*c
^4 - 192*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*c^5 - 64*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^
5 + 256*a^4*b*c^5 - 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 - 32*a^3*b^2*c^5 + 2*sqrt(2)*sqrt(b*
c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^5 + 6*a*b^4*c^5 + 48*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^6 + 384*a^
4*c^6 - 8*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^6 + 128*a^3*b*c^6 - 16*a^2*b^2*c^6 - 8*a*b^3*c^6 - 3
2*a^3*c^7 + 32*a^2*b*c^7 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c + 12*sqrt(2)*sqrt
(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^2 + 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 -
4*a*c)*c)*a*b^5*c^2 + 4*sqrt(b^2 - 4*a*c)*a*b^6*c^2 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c
)*c)*a^3*b^2*c^3 - 16*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 - 3*sqrt(2)*sqrt(b
^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^3 - 48*sqrt(b^2 - 4*a*c)*a^2*b^4*c^3 - 10*sqrt(b^2 - 4*a*c
)*a*b^5*c^3 + 64*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*c^4 + 32*sqrt(2)*sqrt(b^2 - 4*a
*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^4 + 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a
^2*b^2*c^4 + 192*sqrt(b^2 - 4*a*c)*a^3*b^2*c^4 + 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a
*b^3*c^4 + 80*sqrt(b^2 - 4*a*c)*a^2*b^3*c^4 + 16*sqrt(b^2 - 4*a*c)*a*b^4*c^4 - 112*sqrt(2)*sqrt(b^2 - 4*a*c)*s
qrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^5 - 256*sqrt(b^2 - 4*a*c)*a^4*c^5 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^2*b*c^5 - 160*sqrt(b^2 - 4*a*c)*a^3*b*c^5 - 2*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - s
qrt(b^2 - 4*a*c)*c)*a*b^2*c^5 - 96*sqrt(b^2 - 4*a*c)*a^2*b^2*c^5 - 18*sqrt(b^2 - 4*a*c)*a*b^3*c^5 + 24*sqrt(2)
*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*c^6 + 128*sqrt(b^2 - 4*a*c)*a^3*c^6 + 40*sqrt(b^2 - 4*a
*c)*a^2*b*c^6 + 8*sqrt(b^2 - 4*a*c)*a*b^2*c^6 - 16*sqrt(b^2 - 4*a*c)*a^2*c^7 - 8*(b^2 - 4*a*c)*a*b^3*c^4 + 32*
(b^2 - 4*a*c)*a^2*b*c^5 + 12*(b^2 - 4*a*c)*a*b^2*c^5 + 16*(b^2 - 4*a*c)*a^2*c^6)*d*abs(c)*e - (sqrt(2)*sqrt(b*
c - sqrt(b^2 - 4*a*c)*c)*a*b^8 - 16*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^6*c + sqrt(2)*sqrt(b*c - sqr
t(b^2 - 4*a*c)*c)*a*b^7*c - 6*a*b^8*c + 96*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^4*c^2 - 12*sqrt(2)*sq
rt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c^2 - sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c^2 + 80*a^2*b^6*c^2
+ 12*a*b^7*c^2 - 256*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b^2*c^3 + 48*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4
*a*c)*c)*a^3*b^3*c^3 - 20*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^3 - 384*a^3*b^4*c^3 - 5*sqrt(2)*sq
rt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^5*c^3 - 80*a^2*b^5*c^3 - 10*a*b^6*c^3 + 256*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*
a*c)*c)*a^5*c^4 - 64*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b*c^4 + 208*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^3*b^2*c^4 + 768*a^4*b^2*c^4 + 56*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^4 + 64*a^3*b^3*c^4
+ 4*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^4 + 24*a^2*b^4*c^4 + 12*a*b^5*c^4 - 448*sqrt(2)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^4*c^5 - 512*a^5*c^5 - 144*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^5 + 256*a^4
*b*c^5 - 40*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^5 + 32*a^3*b^2*c^5 - 32*a^2*b^3*c^5 - 16*a*b^4*c
^5 + 96*sqrt(2)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^6 + 128*a^4*c^6 - 64*a^3*b*c^6 + 80*a^2*b^2*c^6 - 64*a^3
*c^7 - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^7 + 12*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c
- sqrt(b^2 - 4*a*c)*c)*a^2*b^5*c - sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^6*c + 8*sqrt
(b^2 - 4*a*c)*a*b^7*c - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b^3*c^2 + 20*sqrt(2)*
sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^4*c^2 + sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2
- 4*a*c)*c)*a*b^5*c^2 - 96*sqrt(b^2 - 4*a*c)*a^2*b^5*c^2 - 20*sqrt(b^2 - 4*a*c)*a*b^6*c^2 + 64*sqrt(2)*sqrt(b^
2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^4*b*c^3 - 112*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a
*c)*c)*a^3*b^2*c^3 + 8*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^3*c^3 + 384*sqrt(b^2 -
4*a*c)*a^3*b^3*c^3 + 5*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^4*c^3 + 136*sqrt(b^2 - 4*
a*c)*a^2*b^4*c^3 + 32*sqrt(b^2 - 4*a*c)*a*b^5*c^3 + 192*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)
*c)*a^4*c^4 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*b*c^4 - 512*sqrt(b^2 - 4*a*c)*a
^4*b*c^4 - 40*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b^2*c^4 - 128*sqrt(b^2 - 4*a*c)*a^
3*b^2*c^4 - 4*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a*b^3*c^4 - 160*sqrt(b^2 - 4*a*c)*a^2*
b^3*c^4 - 36*sqrt(b^2 - 4*a*c)*a*b^4*c^4 - 48*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^3*c^
5 - 384*sqrt(b^2 - 4*a*c)*a^4*c^5 + 32*sqrt(2)*sqrt(b^2 - 4*a*c)*sqrt(b*c - sqrt(b^2 - 4*a*c)*c)*a^2*b*c^5 + 1
28*sqrt(b^2 - 4*a*c)*a^3*b*c^5 + 88*sqrt(b^2 - 4*a*c)*a^2*b^2*c^5 + 16*sqrt(b^2 - 4*a*c)*a*b^3*c^5 + 96*sqrt(b
^2 - 4*a*c)*a^3*c^6 - 48*sqrt(b^2 - 4*a*c)*a^2*b*c^6 - 2*(b^2 - 4*a*c)*a*b^6*c + 24*(b^2 - 4*a*c)*a^2*b^4*c^2
+ 8*(b^2 - 4*a*c)*a*b^5*c^2 - 96*(b^2 - 4*a*c)*a^3*b^2*c^3 - 64*(b^2 - 4*a*c)*a^2*b^3*c^3 - 22*(b^2 - 4*a*c)*a
*b^4*c^3 + 128*(b^2 - 4*a*c)*a^4*c^4 + 128*(b^2 - 4*a*c)*a^3*b*c^4 + 112*(b^2 - 4*a*c)*a^2*b^2*c^4 + 24*(b^2 -
4*a*c)*a*b^3*c^4 - 96*(b^2 - 4*a*c)*a^3*c^5 - 32*(b^2 - 4*a*c)*a^2*b*c^5)*abs(c)*e^2) + 1/2*x*e^2/((c*d^3 - b
*d^2*e + a*d*e^2)*(x^2*e + d))

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maple [B]  time = 0.03, size = 1141, normalized size = 2.66

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

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maxima [F]  time = 0.00, size = 0, normalized size = 0.00

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

1/2*e^2*x/(c*d^4 - b*d^3*e + a*d^2*e^2 + (c*d^3*e - b*d^2*e^2 + a*d*e^3)*x^2) + 1/2*(5*c*d^2*e^2 - 3*b*d*e^3 +
a*e^4)*arctan(e*x/sqrt(d*e))/((c^2*d^5 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + a^2*d*e^4 + (b^2 + 2*a*c)*d^3*e^2)*sqr
t(d*e)) + integrate((c^2*d^2 - 2*b*c*d*e + (b^2 - a*c)*e^2 - (2*c^2*d*e - b*c*e^2)*x^2)/(c*x^4 + b*x^2 + a), x
)/(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)

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mupad [B]  time = 10.28, size = 91169, normalized size = 212.52

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

(atan(((((x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^
2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^
5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*
e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^
6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (
((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^
2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4
*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^
2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d
^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b
^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^1
2 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5
- 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e
^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - ((-d
^3*e^3)^(1/2)*((x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*
d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c
^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*
b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7
584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 46
4*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1
280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 8
48*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^
5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7
+ 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5
*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*
b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^
2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (((128*a*c^11
*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*
a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3
- 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*
d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7
+ 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11
- 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^1
0 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e
^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*
e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2
*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^
4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632
*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^
8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*
e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^
5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*
d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) -
(x*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c
^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 -
1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^1
4*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^1
1*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^
2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*
a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 +
27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13
+ 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*
e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7
*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d
^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d
^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e
^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6
- 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a
*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^
5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(8*(c^2*d^7
+ a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*
e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*
e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2
*b*c*d^5*e^5)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*
d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2
- 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a
^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 -
3*b*d*e)*1i)/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)) + (((x*(5
4*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9
+ 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*
a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*
d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*
c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (((2*a^2*b^6*c^
2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7
+ 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 -
464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9
+ 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b
^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9
+ 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b
*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3
*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2
*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + ((-d^3*e^3)^(1/2)*
((x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a
^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 -
288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^
7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^
7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*
d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^
4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^1
0*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 81
6*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*
c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^1
3 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*
a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2
- 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 25
6*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^
10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8
*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*
b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^
4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8
*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b
^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4
*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a
^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a
^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3
*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8
*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 3
0720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^
7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*
b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^
2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (x*(-d^3*e^3)
^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 +
5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d
^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b
^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10
+ 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11
*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^
7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*
c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b
^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^
4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a
^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*
a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624
*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^
2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c
^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*
e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^
10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(8*(c^2*d^7 + a^2*d^3*e^4
+ b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*
d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^
2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5))
)*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*
d^4*e^3 + 2*a*c*d^5*e^2)))*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e
- 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b
^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e)*1i)/(
4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))/((5*c^8*d^3*e^6 - 3*b*
c^7*d^2*e^7 + a*c^7*d*e^8)/(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3
*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b
*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5) - (((x*(54*c^9*d^6*e^5 - 2*a^3*c^6*
e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48
*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2
*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2
+ 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*
e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5
- 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96
*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246
*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10
- 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c
^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10
+ 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*
c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4
*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e -
12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - ((-d^3*e^3)^(1/2)*((x*(32*c^11*d^13*e^2 + 48
*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b
^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336
*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 +
1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^
6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2
*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c
^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9
*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356
*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c
^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14
))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^
4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c
^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2
*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12
- 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d
^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*
c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*
b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*
b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3
*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a
^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*
a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*
a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4
*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e
^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 2
8160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7
*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^
2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^
9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (x*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 -
3*b*d*e)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 51
20*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17
*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8
*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e
^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d
^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8
*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b
^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^
4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a
^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752
*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 473
6*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64
*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b
^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^
5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^1
5*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e
^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(8*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6
*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7
+ 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*
e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-d^3*e^3)^(1/2)*(a*e^2
+ 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))
*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^
5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e -
2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^
2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)) + (((x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d
^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8
+ 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2
*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6
- 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^
7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13
- 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11
+ 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9
- 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^
4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*
a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^
2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c
^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 -
4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e
^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + ((-d^3*e^3)^(1/2)*((x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 +
96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 204
8*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4
- 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6
*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*
a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768
*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 427
2*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3
*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^
11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*
a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 +
a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d
^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a
*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 -
3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d
^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^
6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 28
48*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 +
3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 +
1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12
+ 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^
12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e
^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e
^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5
008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c
^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^
6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/
(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e
^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*
d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (x*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e)*(1024*a^
2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^
11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^
9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1
792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3
*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^
2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840
*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 +
1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^1
0 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^
14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*
e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4
*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*
e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 -
16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648
*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3
*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b
*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(8*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^
3 + 2*a*c*d^5*e^2)*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2
+ 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9
*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d
*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(a*e^2 + 5*c*d^2
- 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)))*(-d^3*e^
3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 +
2*a*c*d^5*e^2)))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e))/(4*(c^2*d^7 + a^2*d^3*e^4 + b^2*d^5*e^2 - 2*b*c
*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2))))*(-d^3*e^3)^(1/2)*(a*e^2 + 5*c*d^2 - 3*b*d*e)*1i)/(2*(c^2*d^7 + a^2*
d^3*e^4 + b^2*d^5*e^2 - 2*b*c*d^6*e - 2*a*b*d^4*e^3 + 2*a*c*d^5*e^2)) - atan(((((2*a^2*b^6*c^2*e^13 - 200*a*c^
9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4
*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*
e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5
*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 9
6*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*
d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8
*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^
8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^
3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^
4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 691
2*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^
4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*
d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^
9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5
*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d
^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5
*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c
^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c
^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^1
2*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 9
44*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4
*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*
d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^
7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^
8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (x*((b^4*e^4*(-(4*a*c
- b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^
3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c
^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*
b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3
)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^
3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*
d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2
*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^
2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74
*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3
*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^
2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d
^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e
^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*
c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4
480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9
*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6
*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c
^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3
*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*
a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 12
80*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5
952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 +
832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 -
2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304
*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*
b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2
*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d
^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4*d
^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3
+ 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c
*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c
- b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e
^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3
+ 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 3
2*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3
*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*
c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*
b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a
^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 6
4*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3
*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^
3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5
*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (x*(32*c^11*d^13*
e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 -
28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^
12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d
^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^
2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2
*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a
^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2
*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^
10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a
^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^
4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*
a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e -
12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d
^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b
^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 +
9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)
^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4
*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-
(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c
^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3
*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e
^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a
^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 -
64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4
*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e
^5)))^(1/2))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 2
0*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(
4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*
(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 -
4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^
2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c -
b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^
4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*
a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^
2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^
5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b
*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4
*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 -
22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c
^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d
^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^
3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12
*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4
- b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4
*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9
*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(
1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a
*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4
*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2
*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e
^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2
+ 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4
*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 6
4*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a
^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5
)))^(1/2)*1i - (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c
^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d
^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2
*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11
+ 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^
5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a
^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 -
4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 +
6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*
d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960
*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e
^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^
5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12
160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 +
832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 +
14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13
- 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^
13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e
^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3
+ 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224
*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*
d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4
*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 +
b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2
*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4
- 12*a^2*b*c*d^5*e^5)) + (x*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b
^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 +
a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*
b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*
b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3
*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*
d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*
c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c
^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^
3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2
*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*
d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d
^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3
+ 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c
^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 17
92*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^1
1*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 -
31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e
^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^
11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c
^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^
4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b
^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*
b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6
*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*
b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^
8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10
*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6
- 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 +
5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*
c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 -
4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(
1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3
*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 +
4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-
(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*
b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*
a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^
4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8
- 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a
^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2
*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a
*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b
^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192
*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^1
4 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e
^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*
d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c
^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^
4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c
^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c
^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8
- 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2
*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d
*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d
^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2
*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))
*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*
e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)
^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b
^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*
e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*
e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/
2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^
4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*
e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b
^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^
2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 +
6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e
^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 -
b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c
^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a
*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/
2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c
- b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a
*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e
^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5
+ 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 +
20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b
^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*
a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2
*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5))
)^(1/2) + (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a
^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c
^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5
*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d
^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(
(b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^
4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3
)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2
)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*
(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^
2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2)
)/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*
b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^
4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3
*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*
e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6
*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3
- 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*1i)/((5*c^8*d^3*e^6 - 3*b*c^7*d^2*e^7 + a*c^7*d*e^8)/
(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6
- 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7
*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5) + (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 -
14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 +
50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 -
64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*
d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*
b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*
e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4
*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*
b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3
+ 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13
*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^
7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 -
2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^
10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^
8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^
9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d
^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4
*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^
4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^
3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*
e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*
a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b
*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d
*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*
c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a
*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (x*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d
^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b
^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 +
9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)
^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4
*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-
(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c
^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3
*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e
^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a
^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 -
64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4
*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e
^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 -
5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d
^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*
b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^1
4*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^
5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*
c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^
3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400
*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 32
0*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2
752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 +
4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 -
64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*
a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7
*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*
d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^
7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b
^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2
*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^
5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*
c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c -
b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c
- b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*
d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*
d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)
^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 -
4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*
d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a
^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^
2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e
^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d
^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96
*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a
^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 -
268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^
9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2
*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^
3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a
^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^
7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11
- 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4
*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^
4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*
e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^
2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*
a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^
2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e
^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e
- 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*
b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a
*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a
^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 6
4*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3
+ 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*
b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5
*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*
b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2))*((b^4*e^4*(-(4*
a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5
*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^
5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3
*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2
)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2
*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c
^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*
a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3
*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 -
74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*
c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6
*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*
c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^
8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e
^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*
d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^
3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*
c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*
c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*
e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3
+ 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e -
32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^
3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b
*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6
*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*
a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 +
64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^
3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b
^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^
5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (((2*a^2*b^6*c^2
*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 +
784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 -
464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 +
672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^
7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9
+ 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*
c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*
e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*
d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*
e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^
7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896
*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^
8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 1848
0*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400
*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 98
24*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 +
7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 -
20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15
- 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 72
96*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7
*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10
*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 +
1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5
- 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^
4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (x*((
b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4
+ 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)
^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)
^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(
-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2
+ 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))
/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b
^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4
+ 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*
c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e
^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*
a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3
- 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 921
6*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*
e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*
c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 -
64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 4
0256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11
- 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10
*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d
^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c
^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*
c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^
2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^
2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11
*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^
13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10
+ 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 1
1520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(
c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 -
4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*
e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 +
c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e -
25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4
+ 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b
^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^
(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3
)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*
c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^
6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5
*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*
e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d
^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*
e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (
x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4
*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 28
8*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7
- 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*
d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^
3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*
d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*
e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*
a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^
7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13
- 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*
c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 -
4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(
1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3
*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 +
4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-
(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*
b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*
a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^
4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8
- 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a
^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2
*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a
*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b
^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192
*a^5*b*c^3*d^3*e^5)))^(1/2))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b
^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 +
a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*
b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*
b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3
*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*
d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*
c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c
^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^
3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2
*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*
d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d
^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (x*(54*c^9*d^6*e^5 -
2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^
4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10
+ 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^
3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*
b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/
2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c
^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4
*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4
*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^
3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*
c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*
e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 -
4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2
*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d
^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b
^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3
*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a
^5*b*c^3*d^3*e^5)))^(1/2)))*((b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*c^4*d^4 - b^7*e^4 + c^4*d^4*(-(4*a*c - b^
2)^3)^(1/2) + 20*a^3*b*c^3*e^4 + 32*a^2*c^5*d^3*e - 32*a^3*c^4*d*e^3 + 4*b^4*c^3*d^3*e - 25*a^2*b^3*c^2*e^4 +
a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) - 6*b^5*c^2*d^2*e^2 + 4*a*b*c^5*d^4 + 9*a*b^5*c*e^4 + 4*b^6*c*d*e^3 + 6*b
^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^2*c^4*d^3*e - 32*a*b
^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) + 42*a*b^3*c^3*
d^2*e^2 - 72*a^2*b*c^4*d^2*e^2 + 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d
*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c
*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^
5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3
*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*
d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d
*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^
3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*2i - atan(((((2*a^2*b^6*
c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^
7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7
- 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^
9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a
*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e
^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3
*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d
^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c
^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^
15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5
*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 -
896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9
*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 1
8480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 -
400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 -
9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10
+ 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^1
4 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^
15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 -
7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*
b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d
^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^1
6 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e
^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6
*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (x
*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3
*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2
)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c -
b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3
*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2
*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1
/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a
^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4
*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*
b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d
^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7
+ 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*
e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 +
9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*
d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*
b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e
^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7
+ 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*
e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*
d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c
^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b
^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*
b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^
6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^
7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*
c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^
7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e
^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8
- 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/
(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e
^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*
d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/
2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3
*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c
*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 2
4*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2
)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b
^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a
*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a
^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^
2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3
*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*
c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c
*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2
) + (x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 +
4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10
- 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8
*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2
*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c
^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4
*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*
d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 +
816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3
*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*
e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 +
4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e
^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4
+ b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e +
32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2
*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*
e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2
) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^
3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 +
a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c
^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6
- 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b
^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e
- 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32
*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6
- 192*a^5*b*c^3*d^3*e^5)))^(1/2))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*
a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^
2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e
^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e
+ 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*
b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a
*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a
^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 6
4*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3
+ 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*
b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5
*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*
b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(54*c^9*d^6
*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2
*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6
*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 +
4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e
^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4
+ b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e +
32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2
*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*
e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2
) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^
3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 +
a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c
^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6
- 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b
^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e
- 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32
*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6
- 192*a^5*b*c^3*d^3*e^5)))^(1/2)*1i - (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4
*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8
*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*
d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 +
464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6
*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*
a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4
*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e
^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2
*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456
*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e
^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^
6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a
^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 300
8*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 128
0*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 4
80*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 -
2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13
+ 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15
- 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*
a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d
^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^
11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(
c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 -
4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*
e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) + (x*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/
2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3
*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c
*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 2
4*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2
)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b
^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a
*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a
^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^
2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3
*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*
c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c
*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2
)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*
c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 +
512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^
12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 50
56*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9
+ 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e
^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*
d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c
^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*
c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^
5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b
^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^
4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*
d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*
e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 -
25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 2
0224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5
- 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e
^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^
7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 -
32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(
1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3
)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(
4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 -
72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(
8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5
*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 +
64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^
3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6
- 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*
b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 -
44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d
^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^
9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c
^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b
^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*
d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6
*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^
5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7
+ 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b
^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^
4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8
+ b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a
^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e
^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^
2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 +
a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b
^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b
^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*
d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d
*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c
*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^
5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3
*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*
d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d
*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^
3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2))*(-(b^7*e^4 + b^3*c^4*d^
4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e
+ 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d
^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*
c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1
/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*
e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8
+ a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2
*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^
6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3
*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7
*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 +
32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e
^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e
^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20
*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8
+ b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a
^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e
^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^
2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 +
a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b
^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b
^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*
d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d
*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c
*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^
5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3
*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*
d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d
*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^
3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*1i)/((5*c^8*d^3*e^6 - 3*
b*c^7*d^2*e^7 + a*c^7*d*e^8)/(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c
^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4
*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5) + (((2*a^2*b^6*c^2*e^13 - 200*a*c
^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^
4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5
*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^
5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 -
96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4
*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 40*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 -
8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d
^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c
^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c
^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 69
12*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^15*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e
^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3
*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 - 12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d
^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^10 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^
5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9 + 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*
d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^
5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*
c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*
c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^
12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 + 224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 -
944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^
4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4
*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e
^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d
^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)) - (x*(-(b^7*e^4 + b^3*
c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*
d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5
*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*
a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)
^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*
c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^
6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a
^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*
d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 -
74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c
^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*
e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c
*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12
*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^
9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3 - 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 -
4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d
^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c
^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9
*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a
^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 5376
0*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 -
1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 +
5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13
+ 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15
- 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 23
04*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*
a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c
^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7
*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4
*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e
^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2
*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*
a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^
2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e
^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e
+ 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*
b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a
*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a
^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 6
4*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3
+ 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*
b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5
*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*
b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) + (x*(32*c^11*d^
13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15
- 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3
*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^
5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536
*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*
a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 64
8*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*
b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5
*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 7216*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 3
2*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2
*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 +
4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e
- 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c
- b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 -
4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d
^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2
)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*
(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^
2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a
^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7
*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d
^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 1
44*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e
^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e
+ 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d
^3*e^5)))^(1/2))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2
) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^
4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2
*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e
^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 +
72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*
a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b
^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2
+ 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d
^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 +
64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*
a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 19
2*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e
^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11 - 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*
b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*
c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 +
4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e
- 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c
- b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 -
4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d
^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2
)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*
(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^
2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a
^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7
*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d
^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 1
44*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e
^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e
+ 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d
^3*e^5)))^(1/2) + (((2*a^2*b^6*c^2*e^13 - 200*a*c^9*d^8*e^5 - 8*a^5*c^5*e^13 - 14*a^3*b^4*c^3*e^13 + 26*a^4*b^
2*c^4*e^13 + 480*a^2*c^8*d^6*e^7 + 784*a^3*c^7*d^4*e^9 + 96*a^4*c^6*d^2*e^11 + 50*b^2*c^8*d^8*e^5 - 240*b^3*c^
7*d^7*e^6 + 466*b^4*c^6*d^6*e^7 - 464*b^5*c^5*d^5*e^8 + 246*b^6*c^4*d^4*e^9 - 64*b^7*c^3*d^3*e^10 + 6*b^8*c^2*
d^2*e^11 + 4*a^2*b^2*c^6*d^4*e^9 + 672*a^2*b^3*c^5*d^3*e^10 - 354*a^2*b^4*c^4*d^2*e^11 + 464*a^3*b^2*c^5*d^2*e
^11 + 960*a*b*c^8*d^7*e^6 - 8*a*b^7*c^2*d*e^12 - 96*a^4*b*c^5*d*e^12 - 1984*a*b^2*c^7*d^6*e^7 + 2072*a*b^3*c^6
*d^5*e^8 - 1034*a*b^4*c^5*d^4*e^9 + 160*a*b^5*c^4*d^3*e^10 + 34*a*b^6*c^3*d^2*e^11 - 864*a^2*b*c^7*d^5*e^8 + 4
0*a^2*b^5*c^3*d*e^12 - 1152*a^3*b*c^6*d^3*e^10 - 8*a^3*b^3*c^4*d*e^12)/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^
4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^
6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b
*c*d^5*e^5)) - (((128*a*c^11*d^15*e^2 - 256*a^8*c^4*d*e^16 - 256*a^2*c^10*d^13*e^4 - 3456*a^3*c^9*d^11*e^6 - 8
960*a^4*c^8*d^9*e^8 - 10880*a^5*c^7*d^7*e^10 - 6912*a^6*c^6*d^5*e^12 - 2176*a^7*c^5*d^3*e^14 - 32*b^2*c^10*d^1
5*e^2 + 256*b^3*c^9*d^14*e^3 - 896*b^4*c^8*d^13*e^4 + 1792*b^5*c^7*d^12*e^5 - 2240*b^6*c^6*d^11*e^6 + 1792*b^7
*c^5*d^10*e^7 - 896*b^8*c^4*d^9*e^8 + 256*b^9*c^3*d^8*e^9 - 32*b^10*c^2*d^7*e^10 + 2848*a^2*b^2*c^8*d^11*e^6 -
12160*a^2*b^3*c^7*d^10*e^7 + 18480*a^2*b^4*c^6*d^9*e^8 - 12864*a^2*b^5*c^5*d^8*e^9 + 3008*a^2*b^6*c^4*d^7*e^1
0 + 832*a^2*b^7*c^3*d^6*e^11 - 400*a^2*b^8*c^2*d^5*e^12 - 17920*a^3*b^2*c^7*d^9*e^8 + 1280*a^3*b^3*c^6*d^8*e^9
+ 14240*a^3*b^4*c^5*d^7*e^10 - 9824*a^3*b^5*c^4*d^6*e^11 + 1120*a^3*b^6*c^3*d^5*e^12 + 480*a^3*b^7*c^2*d^4*e^
13 - 33760*a^4*b^2*c^6*d^7*e^10 + 7680*a^4*b^3*c^5*d^6*e^11 + 7520*a^4*b^4*c^4*d^5*e^12 - 2880*a^4*b^5*c^3*d^4
*e^13 - 320*a^4*b^6*c^2*d^3*e^14 - 20672*a^5*b^2*c^5*d^5*e^12 + 896*a^5*b^3*c^4*d^4*e^13 + 2384*a^5*b^4*c^3*d^
3*e^14 + 112*a^5*b^5*c^2*d^2*e^15 - 3872*a^6*b^2*c^4*d^3*e^14 - 896*a^6*b^3*c^3*d^2*e^15 - 1024*a*b*c^10*d^14*
e^3 + 3648*a*b^2*c^9*d^13*e^4 - 7296*a*b^3*c^8*d^12*e^5 + 8464*a*b^4*c^7*d^11*e^6 - 5008*a*b^5*c^6*d^10*e^7 +
224*a*b^6*c^5*d^9*e^8 + 1632*a*b^7*c^4*d^8*e^9 - 944*a*b^8*c^3*d^7*e^10 + 176*a*b^9*c^2*d^6*e^11 + 512*a^2*b*c
^9*d^12*e^5 + 14080*a^3*b*c^8*d^10*e^7 + 30720*a^4*b*c^7*d^8*e^9 + 28160*a^5*b*c^6*d^6*e^11 + 11776*a^6*b*c^5*
d^4*e^13 - 16*a^6*b^4*c^2*d*e^16 + 1792*a^7*b*c^4*d^2*e^15 + 128*a^7*b^2*c^3*d*e^16)/(2*(c^4*d^10 + a^4*d^2*e^
8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*
a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*
e^4 - 12*a^2*b*c*d^5*e^5)) + (x*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c
- b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e
^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3
+ 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 3
2*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3
*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*
c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*
b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a
^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 6
4*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3
*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^
3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5
*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)*(1024*a^2*c^11*d^16
*e^3 + 5120*a^3*c^10*d^14*e^5 + 9216*a^4*c^9*d^12*e^7 + 5120*a^5*c^8*d^10*e^9 - 5120*a^6*c^7*d^8*e^11 - 9216*a
^7*c^6*d^6*e^13 - 5120*a^8*c^5*d^4*e^15 - 1024*a^9*c^4*d^2*e^17 - 64*b^3*c^10*d^17*e^2 + 512*b^4*c^9*d^16*e^3
- 1792*b^5*c^8*d^15*e^4 + 3584*b^6*c^7*d^14*e^5 - 4480*b^7*c^6*d^13*e^6 + 3584*b^8*c^5*d^12*e^7 - 1792*b^9*c^4
*d^11*e^8 + 512*b^10*c^3*d^10*e^9 - 64*b^11*c^2*d^9*e^10 + 8192*a^2*b^2*c^9*d^14*e^5 + 5056*a^2*b^3*c^8*d^13*e
^6 - 31104*a^2*b^4*c^7*d^12*e^7 + 40256*a^2*b^5*c^6*d^11*e^8 - 22784*a^2*b^6*c^5*d^10*e^9 + 3648*a^2*b^7*c^4*d
^9*e^10 + 1664*a^2*b^8*c^3*d^8*e^11 - 576*a^2*b^9*c^2*d^7*e^12 + 45312*a^3*b^2*c^8*d^12*e^7 - 27840*a^3*b^3*c^
7*d^11*e^8 - 13760*a^3*b^4*c^6*d^10*e^9 + 27520*a^3*b^5*c^5*d^9*e^10 - 12416*a^3*b^6*c^4*d^8*e^11 + 1088*a^3*b
^7*c^3*d^7*e^12 + 320*a^3*b^8*c^2*d^6*e^13 + 53760*a^4*b^2*c^7*d^10*e^9 - 30400*a^4*b^3*c^6*d^9*e^10 + 1280*a^
4*b^4*c^5*d^8*e^11 + 4224*a^4*b^5*c^4*d^7*e^12 - 1280*a^4*b^6*c^3*d^6*e^13 + 320*a^4*b^7*c^2*d^5*e^14 + 6400*a
^5*b^2*c^6*d^8*e^11 - 2624*a^5*b^3*c^5*d^7*e^12 + 5952*a^5*b^4*c^4*d^6*e^13 - 2752*a^5*b^5*c^3*d^5*e^14 - 576*
a^5*b^6*c^2*d^4*e^15 - 21504*a^6*b^2*c^5*d^6*e^13 + 832*a^6*b^3*c^4*d^5*e^14 + 4736*a^6*b^4*c^3*d^4*e^15 + 320
*a^6*b^5*c^2*d^3*e^16 - 8448*a^7*b^2*c^4*d^4*e^15 - 2624*a^7*b^3*c^3*d^3*e^16 - 64*a^7*b^4*c^2*d^2*e^17 + 512*
a^8*b^2*c^3*d^2*e^17 + 256*a*b*c^11*d^17*e^2 - 2304*a*b^2*c^10*d^16*e^3 + 8512*a*b^3*c^9*d^15*e^4 - 16704*a*b^
4*c^8*d^14*e^5 + 18240*a*b^5*c^7*d^13*e^6 - 9536*a*b^6*c^6*d^12*e^7 - 576*a*b^7*c^5*d^11*e^8 + 3648*a*b^8*c^4*
d^10*e^9 - 1856*a*b^9*c^3*d^9*e^10 + 320*a*b^10*c^2*d^8*e^11 - 5376*a^2*b*c^10*d^15*e^4 - 25344*a^3*b*c^9*d^13
*e^6 - 37120*a^4*b*c^8*d^11*e^8 - 11520*a^5*b*c^7*d^9*e^10 + 20736*a^6*b*c^6*d^7*e^12 + 20224*a^7*b*c^5*d^5*e^
14 + 5376*a^8*b*c^4*d^3*e^16))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 +
4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^
2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e^5)))*(-(b^7*e^4 + b^3*c^4*d^4 +
b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 3
2*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*
e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e
^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2)
- 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3
- 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a
^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^
5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 -
44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^
4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e
- 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*
a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6
- 192*a^5*b*c^3*d^3*e^5)))^(1/2) - (x*(32*c^11*d^13*e^2 + 48*a^6*b*c^4*e^15 + 96*a*c^10*d^11*e^4 - 64*a^6*c^5*
d*e^14 - 160*b*c^10*d^12*e^3 + 4*a^4*b^5*c^2*e^15 - 28*a^5*b^3*c^3*e^15 - 2048*a^2*c^9*d^9*e^6 - 4416*a^3*c^8*
d^7*e^8 - 2528*a^4*c^7*d^5*e^10 - 288*a^5*c^6*d^3*e^12 + 336*b^2*c^9*d^11*e^4 - 268*b^3*c^8*d^10*e^5 - 360*b^4
*c^7*d^9*e^6 + 1260*b^5*c^6*d^8*e^7 - 1568*b^6*c^5*d^7*e^8 + 1036*b^7*c^4*d^6*e^9 - 360*b^8*c^3*d^5*e^10 + 52*
b^9*c^2*d^4*e^11 - 7584*a^2*b^2*c^7*d^7*e^8 - 536*a^2*b^3*c^6*d^6*e^9 + 5936*a^2*b^4*c^5*d^5*e^10 - 3552*a^2*b
^5*c^4*d^4*e^11 + 464*a^2*b^6*c^3*d^3*e^12 + 104*a^2*b^7*c^2*d^2*e^13 - 12768*a^3*b^2*c^6*d^5*e^10 + 3720*a^3*
b^3*c^5*d^4*e^11 + 1280*a^3*b^4*c^4*d^3*e^12 - 648*a^3*b^5*c^3*d^2*e^13 - 4272*a^4*b^2*c^5*d^3*e^12 + 740*a^4*
b^3*c^4*d^2*e^13 - 848*a*b*c^9*d^10*e^5 + 3632*a*b^2*c^8*d^9*e^6 - 7852*a*b^3*c^7*d^8*e^7 + 8864*a*b^4*c^6*d^7
*e^8 - 4936*a*b^5*c^5*d^6*e^9 + 816*a*b^6*c^4*d^5*e^10 + 356*a*b^7*c^3*d^4*e^11 - 128*a*b^8*c^2*d^3*e^12 + 721
6*a^2*b*c^8*d^8*e^7 + 12896*a^3*b*c^7*d^6*e^9 - 32*a^3*b^6*c^2*d*e^14 + 5696*a^4*b*c^6*d^4*e^11 + 216*a^4*b^4*
c^3*d*e^14 + 752*a^5*b*c^5*d^2*e^13 - 336*a^5*b^2*c^4*d*e^14))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*
b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^
2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e
^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*
b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c
- b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a
*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^
3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^
4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^
3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4
- 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^
4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32
*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*
c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d
*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4
*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c
- b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 -
4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^
4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)
^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(
-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2
*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^
7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*
d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^
6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 14
4*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^
3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e
+ 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^
3*e^5)))^(1/2) + (x*(54*c^9*d^6*e^5 - 2*a^3*c^6*e^11 - 22*a*c^8*d^4*e^7 - 118*b*c^8*d^5*e^6 + a^2*b^2*c^5*e^11
- 14*a^2*c^7*d^2*e^9 + 107*b^2*c^7*d^4*e^7 - 48*b^3*c^6*d^3*e^8 + 9*b^4*c^5*d^2*e^9 + 20*a*b*c^7*d^3*e^8 - 6*
a*b^3*c^5*d*e^10 + 10*a^2*b*c^6*d*e^10 + 4*a*b^2*c^6*d^2*e^9))/(2*(c^4*d^10 + a^4*d^2*e^8 + b^4*d^6*e^4 - 4*a*
b^3*d^5*e^5 - 4*a^3*b*d^3*e^7 + 4*a*c^3*d^8*e^2 + 4*a^3*c*d^4*e^6 - 4*b^3*c*d^7*e^3 + 6*a^2*b^2*d^4*e^6 + 6*a^
2*c^2*d^6*e^4 + 6*b^2*c^2*d^8*e^2 - 4*b*c^3*d^9*e - 12*a*b*c^2*d^7*e^3 + 12*a*b^2*c*d^6*e^4 - 12*a^2*b*c*d^5*e
^5)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c - b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*
b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 - 4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c
- b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a
*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^
3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^
4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^
3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4
- 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^
4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32
*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 144*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*
c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d
*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e + 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4
*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d^3*e^5)))^(1/2)))*(-(b^7*e^4 + b^3*c^4*d^4 + b^4*e^4*(-(4*a*c
- b^2)^3)^(1/2) + c^4*d^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^4 - 32*a^2*c^5*d^3*e + 32*a^3*c^4*d*e^3 -
4*b^4*c^3*d^3*e + 25*a^2*b^3*c^2*e^4 + a^2*c^2*e^4*(-(4*a*c - b^2)^3)^(1/2) + 6*b^5*c^2*d^2*e^2 - 4*a*b*c^5*d
^4 - 9*a*b^5*c*e^4 - 4*b^6*c*d*e^3 + 6*b^2*c^2*d^2*e^2*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^4*(-(4*a*c - b^2
)^3)^(1/2) + 24*a*b^2*c^4*d^3*e + 32*a*b^4*c^2*d*e^3 - 4*b*c^3*d^3*e*(-(4*a*c - b^2)^3)^(1/2) - 4*b^3*c*d*e^3*
(-(4*a*c - b^2)^3)^(1/2) - 42*a*b^3*c^3*d^2*e^2 + 72*a^2*b*c^4*d^2*e^2 - 72*a^2*b^2*c^3*d*e^3 - 6*a*c^3*d^2*e^
2*(-(4*a*c - b^2)^3)^(1/2) + 8*a*b*c^2*d*e^3*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^3*c^6*d^8 + a^5*b^4*e^8 + 16*a
^7*c^2*e^8 + a*b^4*c^4*d^8 - 8*a^6*b^2*c*e^8 + a*b^8*d^4*e^4 - 4*a^4*b^5*d*e^7 - 8*a^2*b^2*c^5*d^8 - 4*a^2*b^7
*d^3*e^5 + 6*a^3*b^6*d^2*e^6 + 64*a^4*c^5*d^6*e^2 + 96*a^5*c^4*d^4*e^4 + 64*a^6*c^3*d^2*e^6 - 44*a^2*b^4*c^3*d
^6*e^2 + 20*a^2*b^5*c^2*d^5*e^3 + 64*a^3*b^2*c^4*d^6*e^2 + 32*a^3*b^3*c^3*d^5*e^3 - 74*a^3*b^4*c^2*d^4*e^4 + 1
44*a^4*b^2*c^3*d^4*e^4 + 32*a^4*b^3*c^2*d^3*e^5 + 64*a^5*b^2*c^2*d^2*e^6 - 4*a*b^5*c^3*d^7*e - 4*a*b^7*c*d^5*e
^3 - 64*a^3*b*c^5*d^7*e + 32*a^5*b^3*c*d*e^7 - 64*a^6*b*c^2*d*e^7 + 6*a*b^6*c^2*d^6*e^2 + 32*a^2*b^3*c^4*d^7*e
+ 4*a^2*b^6*c*d^4*e^4 + 20*a^3*b^5*c*d^3*e^5 - 192*a^4*b*c^4*d^5*e^3 - 44*a^4*b^4*c*d^2*e^6 - 192*a^5*b*c^3*d
^3*e^5)))^(1/2)*2i + (e^2*x)/(2*d*(d + e*x^2)*(a*e^2 + c*d^2 - b*d*e))

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Timed out

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