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

Optimal. Leaf size=835 \[ -\frac {\sqrt {d+e x} \left (-e b^2+c d b+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b e d+a e^2\right ) \left (c x^2+b x+a\right )^2}-\frac {3 \sqrt {c} \left (32 c^4 d^4-8 c^3 e \left (8 b d-\sqrt {b^2-4 a c} d-9 a e\right ) d^2+b^3 \left (b+\sqrt {b^2-4 a c}\right ) e^4+2 b c e^3 \left (d b^2+\sqrt {b^2-4 a c} d b-5 a e b-4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-6 b \left (\sqrt {b^2-4 a c} d+6 a e\right ) d+4 a e \left (2 \sqrt {b^2-4 a c} d+7 a e\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b e d+a e^2\right )^2}+\frac {3 \sqrt {c} \left (32 c^4 d^4-8 c^3 e \left (8 b d+\sqrt {b^2-4 a c} d-9 a e\right ) d^2+b^3 \left (b-\sqrt {b^2-4 a c}\right ) e^4+2 c^2 e^2 \left (15 b^2 d^2+6 b \left (\sqrt {b^2-4 a c} d-6 a e\right ) d-4 a e \left (2 \sqrt {b^2-4 a c} d-7 a e\right )\right )+2 b c e^3 \left (d b^2-\left (\sqrt {b^2-4 a c} d+5 a e\right ) b+4 a \sqrt {b^2-4 a c} e\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e} \left (c d^2-e (b d-a e)\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-3 c \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x (2 c d-b e)-\left (-e b^2+c d b+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b e d+a e^2\right )^2 \left (c x^2+b x+a\right )} \]

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Rubi [A]  time = 13.92, antiderivative size = 834, normalized size of antiderivative = 1.00, number of steps used = 6, number of rules used = 5, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.227, Rules used = {740, 822, 826, 1166, 208} \begin {gather*} -\frac {\sqrt {d+e x} \left (-e b^2+c d b+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b e d+a e^2\right ) \left (c x^2+b x+a\right )^2}-\frac {3 \sqrt {c} \left (32 c^4 d^4-8 c^3 e \left (8 b d-\sqrt {b^2-4 a c} d-9 a e\right ) d^2+b^3 \left (b+\sqrt {b^2-4 a c}\right ) e^4+2 b c e^3 \left (d b^2+\sqrt {b^2-4 a c} d b-5 a e b-4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-6 b \left (\sqrt {b^2-4 a c} d+6 a e\right ) d+4 a e \left (2 \sqrt {b^2-4 a c} d+7 a e\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b e d+a e^2\right )^2}+\frac {3 \sqrt {c} \left (32 c^4 d^4-8 c^3 e \left (8 b d+\sqrt {b^2-4 a c} d-9 a e\right ) d^2+b^3 \left (b-\sqrt {b^2-4 a c}\right ) e^4+2 c^2 e^2 \left (15 b^2 d^2+6 b \left (\sqrt {b^2-4 a c} d-6 a e\right ) d-4 a e \left (2 \sqrt {b^2-4 a c} d-7 a e\right )\right )+2 b c e^3 \left (d b^2-\left (\sqrt {b^2-4 a c} d+5 a e\right ) b+4 a \sqrt {b^2-4 a c} e\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b e d+a e^2\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-3 c \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x (2 c d-b e)-\left (-e b^2+c d b+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b e d+a e^2\right )^2 \left (c x^2+b x+a\right )} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

-(Sqrt[d + e*x]*(b*c*d - b^2*e + 2*a*c*e + c*(2*c*d - b*e)*x))/(2*(b^2 - 4*a*c)*(c*d^2 - b*d*e + a*e^2)*(a + b
*x + c*x^2)^2) - (Sqrt[d + e*x]*(5*a*c*e*(2*c*d - b*e)^2 - (b*c*d - b^2*e + 2*a*c*e)*(12*c^2*d^2 - 3*b^2*e^2 -
7*c*e*(b*d - 2*a*e)) - 3*c*(2*c*d - b*e)*(4*c^2*d^2 - b^2*e^2 - 4*c*e*(b*d - 2*a*e))*x))/(4*(b^2 - 4*a*c)^2*(
c*d^2 - b*d*e + a*e^2)^2*(a + b*x + c*x^2)) - (3*Sqrt[c]*(32*c^4*d^4 + b^3*(b + Sqrt[b^2 - 4*a*c])*e^4 - 8*c^3
*d^2*e*(8*b*d - Sqrt[b^2 - 4*a*c]*d - 9*a*e) + 2*b*c*e^3*(b^2*d + b*Sqrt[b^2 - 4*a*c]*d - 5*a*b*e - 4*a*Sqrt[b
^2 - 4*a*c]*e) + 2*c^2*e^2*(15*b^2*d^2 - 6*b*d*(Sqrt[b^2 - 4*a*c]*d + 6*a*e) + 4*a*e*(2*Sqrt[b^2 - 4*a*c]*d +
7*a*e)))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - (b - Sqrt[b^2 - 4*a*c])*e]])/(4*Sqrt[2]*(b^2 - 4
*a*c)^(5/2)*Sqrt[2*c*d - (b - Sqrt[b^2 - 4*a*c])*e]*(c*d^2 - b*d*e + a*e^2)^2) + (3*Sqrt[c]*(32*c^4*d^4 + b^3*
(b - Sqrt[b^2 - 4*a*c])*e^4 - 8*c^3*d^2*e*(8*b*d + Sqrt[b^2 - 4*a*c]*d - 9*a*e) + 2*c^2*e^2*(15*b^2*d^2 - 4*a*
e*(2*Sqrt[b^2 - 4*a*c]*d - 7*a*e) + 6*b*d*(Sqrt[b^2 - 4*a*c]*d - 6*a*e)) + 2*b*c*e^3*(b^2*d + 4*a*Sqrt[b^2 - 4
*a*c]*e - b*(Sqrt[b^2 - 4*a*c]*d + 5*a*e)))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - (b + Sqrt[b^2
- 4*a*c])*e]])/(4*Sqrt[2]*(b^2 - 4*a*c)^(5/2)*Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*(c*d^2 - b*d*e + a*e^2)
^2)

Rule 208

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

Rule 740

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

Rule 822

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

Rule 826

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

Rule 1166

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

Rubi steps

\begin {align*} \int \frac {1}{\sqrt {d+e x} \left (a+b x+c x^2\right )^3} \, dx &=-\frac {\sqrt {d+e x} \left (b c d-b^2 e+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x+c x^2\right )^2}-\frac {\int \frac {\frac {1}{2} \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )+\frac {5}{2} c e (2 c d-b e) x}{\sqrt {d+e x} \left (a+b x+c x^2\right )^2} \, dx}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right )}\\ &=-\frac {\sqrt {d+e x} \left (b c d-b^2 e+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x+c x^2\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-\left (b c d-b^2 e+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )-3 c (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2 \left (a+b x+c x^2\right )}+\frac {\int \frac {\frac {3}{4} \left (16 c^4 d^4+b^4 e^4+b^2 c e^3 (2 b d-9 a e)-4 c^3 d^2 e (7 b d-9 a e)+c^2 e^2 \left (9 b^2 d^2-28 a b d e+28 a^2 e^2\right )\right )+\frac {3}{4} c e (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x}{\sqrt {d+e x} \left (a+b x+c x^2\right )} \, dx}{2 \left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {\sqrt {d+e x} \left (b c d-b^2 e+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x+c x^2\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-\left (b c d-b^2 e+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )-3 c (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2 \left (a+b x+c x^2\right )}+\frac {\operatorname {Subst}\left (\int \frac {-\frac {3}{4} c d e (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right )+\frac {3}{4} e \left (16 c^4 d^4+b^4 e^4+b^2 c e^3 (2 b d-9 a e)-4 c^3 d^2 e (7 b d-9 a e)+c^2 e^2 \left (9 b^2 d^2-28 a b d e+28 a^2 e^2\right )\right )+\frac {3}{4} c e (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x^2}{c d^2-b d e+a e^2+(-2 c d+b e) x^2+c x^4} \, dx,x,\sqrt {d+e x}\right )}{\left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {\sqrt {d+e x} \left (b c d-b^2 e+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x+c x^2\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-\left (b c d-b^2 e+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )-3 c (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2 \left (a+b x+c x^2\right )}+\frac {\left (3 c \left (32 c^4 d^4+b^3 \left (b+\sqrt {b^2-4 a c}\right ) e^4-8 c^3 d^2 e \left (8 b d-\sqrt {b^2-4 a c} d-9 a e\right )+2 b c e^3 \left (b^2 d+b \sqrt {b^2-4 a c} d-5 a b e-4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-6 b d \left (\sqrt {b^2-4 a c} d+6 a e\right )+4 a e \left (2 \sqrt {b^2-4 a c} d+7 a e\right )\right )\right )\right ) \operatorname {Subst}\left (\int \frac {1}{-\frac {1}{2} \sqrt {b^2-4 a c} e+\frac {1}{2} (-2 c d+b e)+c x^2} \, dx,x,\sqrt {d+e x}\right )}{8 \left (b^2-4 a c\right )^{5/2} \left (c d^2-b d e+a e^2\right )^2}+\frac {\left (\frac {3}{8} c e (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right )-\frac {-\frac {3}{4} c e (2 c d-b e) (-2 c d+b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right )+2 c \left (-\frac {3}{4} c d e (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right )+\frac {3}{4} e \left (16 c^4 d^4+b^4 e^4+b^2 c e^3 (2 b d-9 a e)-4 c^3 d^2 e (7 b d-9 a e)+c^2 e^2 \left (9 b^2 d^2-28 a b d e+28 a^2 e^2\right )\right )\right )}{2 \sqrt {b^2-4 a c} e}\right ) \operatorname {Subst}\left (\int \frac {1}{\frac {1}{2} \sqrt {b^2-4 a c} e+\frac {1}{2} (-2 c d+b e)+c x^2} \, dx,x,\sqrt {d+e x}\right )}{\left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2}\\ &=-\frac {\sqrt {d+e x} \left (b c d-b^2 e+2 a c e+c (2 c d-b e) x\right )}{2 \left (b^2-4 a c\right ) \left (c d^2-b d e+a e^2\right ) \left (a+b x+c x^2\right )^2}-\frac {\sqrt {d+e x} \left (5 a c e (2 c d-b e)^2-\left (b c d-b^2 e+2 a c e\right ) \left (12 c^2 d^2-3 b^2 e^2-7 c e (b d-2 a e)\right )-3 c (2 c d-b e) \left (4 c^2 d^2-b^2 e^2-4 c e (b d-2 a e)\right ) x\right )}{4 \left (b^2-4 a c\right )^2 \left (c d^2-b d e+a e^2\right )^2 \left (a+b x+c x^2\right )}-\frac {3 \sqrt {c} \left (32 c^4 d^4+b^3 \left (b+\sqrt {b^2-4 a c}\right ) e^4-8 c^3 d^2 e \left (8 b d-\sqrt {b^2-4 a c} d-9 a e\right )+2 b c e^3 \left (b^2 d+b \sqrt {b^2-4 a c} d-5 a b e-4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-6 b d \left (\sqrt {b^2-4 a c} d+6 a e\right )+4 a e \left (2 \sqrt {b^2-4 a c} d+7 a e\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b-\sqrt {b^2-4 a c}\right ) e} \left (c d^2-b d e+a e^2\right )^2}+\frac {3 \sqrt {c} \left (32 c^4 d^4+b^3 \left (b-\sqrt {b^2-4 a c}\right ) e^4-8 c^3 d^2 e \left (8 b d+\sqrt {b^2-4 a c} d-9 a e\right )+2 b c e^3 \left (b^2 d-b \sqrt {b^2-4 a c} d-5 a b e+4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-4 a e \left (2 \sqrt {b^2-4 a c} d-7 a e\right )+6 b d \left (\sqrt {b^2-4 a c} d-6 a e\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}\right )}{4 \sqrt {2} \left (b^2-4 a c\right )^{5/2} \sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e} \left (c d^2-e (b d-a e)\right )^2}\\ \end {align*}

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Mathematica [A]  time = 6.12, size = 799, normalized size = 0.96 \begin {gather*} \frac {\frac {\sqrt {d+e x} \left (e b^2+c (e x-d) b-2 c (a e+c d x)\right )}{(a+x (b+c x))^2}-\frac {\sqrt {d+e x} \left (3 e^3 b^4+c e^2 (4 d+3 e x) b^3+c e \left (c d (6 e x-19 d)-25 a e^2\right ) b^2+4 c^2 \left (3 c (d-3 e x) d^2+a e^2 (5 d-6 e x)\right ) b+4 c^2 \left (6 c^2 x d^3+a c e (d+12 e x) d+7 a^2 e^3\right )\right )}{2 \left (b^2-4 a c\right ) \left (e (b d-a e)-c d^2\right ) (a+x (b+c x))}+\frac {3 \sqrt {c} \left (\frac {\left (32 c^4 d^4-8 c^3 e \left (8 b d+\sqrt {b^2-4 a c} d-9 a e\right ) d^2+b^3 \left (b-\sqrt {b^2-4 a c}\right ) e^4+2 b c e^3 \left (d b^2-\left (\sqrt {b^2-4 a c} d+5 a e\right ) b+4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2+6 b \left (\sqrt {b^2-4 a c} d-6 a e\right ) d+4 a e \left (7 a e-2 \sqrt {b^2-4 a c} d\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}\right )}{\sqrt {2 c d-\left (b+\sqrt {b^2-4 a c}\right ) e}}-\frac {\left (32 c^4 d^4+8 c^3 e \left (-8 b d+\sqrt {b^2-4 a c} d+9 a e\right ) d^2+b^3 \left (b+\sqrt {b^2-4 a c}\right ) e^4+2 b c e^3 \left (d b^2+\sqrt {b^2-4 a c} d b-5 a e b-4 a \sqrt {b^2-4 a c} e\right )+2 c^2 e^2 \left (15 b^2 d^2-6 b \left (\sqrt {b^2-4 a c} d+6 a e\right ) d+4 a e \left (2 \sqrt {b^2-4 a c} d+7 a e\right )\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {2 c d-b e+\sqrt {b^2-4 a c} e}}\right )}{\sqrt {2 c d+\left (\sqrt {b^2-4 a c}-b\right ) e}}\right )}{2 \sqrt {2} \left (b^2-4 a c\right )^{3/2} \left (c d^2+e (a e-b d)\right )}}{2 \left (b^2-4 a c\right ) \left (c d^2+e (a e-b d)\right )} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

((Sqrt[d + e*x]*(b^2*e - 2*c*(a*e + c*d*x) + b*c*(-d + e*x)))/(a + x*(b + c*x))^2 - (Sqrt[d + e*x]*(3*b^4*e^3
+ b^3*c*e^2*(4*d + 3*e*x) + 4*b*c^2*(a*e^2*(5*d - 6*e*x) + 3*c*d^2*(d - 3*e*x)) + b^2*c*e*(-25*a*e^2 + c*d*(-1
9*d + 6*e*x)) + 4*c^2*(7*a^2*e^3 + 6*c^2*d^3*x + a*c*d*e*(d + 12*e*x))))/(2*(b^2 - 4*a*c)*(-(c*d^2) + e*(b*d -
a*e))*(a + x*(b + c*x))) + (3*Sqrt[c]*(-(((32*c^4*d^4 + b^3*(b + Sqrt[b^2 - 4*a*c])*e^4 + 8*c^3*d^2*e*(-8*b*d
+ Sqrt[b^2 - 4*a*c]*d + 9*a*e) + 2*b*c*e^3*(b^2*d + b*Sqrt[b^2 - 4*a*c]*d - 5*a*b*e - 4*a*Sqrt[b^2 - 4*a*c]*e
) + 2*c^2*e^2*(15*b^2*d^2 - 6*b*d*(Sqrt[b^2 - 4*a*c]*d + 6*a*e) + 4*a*e*(2*Sqrt[b^2 - 4*a*c]*d + 7*a*e)))*ArcT
anh[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[2*c*d - b*e + Sqrt[b^2 - 4*a*c]*e]])/Sqrt[2*c*d + (-b + Sqrt[b^2 - 4*
a*c])*e]) + ((32*c^4*d^4 + b^3*(b - Sqrt[b^2 - 4*a*c])*e^4 - 8*c^3*d^2*e*(8*b*d + Sqrt[b^2 - 4*a*c]*d - 9*a*e)
+ 2*b*c*e^3*(b^2*d + 4*a*Sqrt[b^2 - 4*a*c]*e - b*(Sqrt[b^2 - 4*a*c]*d + 5*a*e)) + 2*c^2*e^2*(15*b^2*d^2 + 6*b
*d*(Sqrt[b^2 - 4*a*c]*d - 6*a*e) + 4*a*e*(-2*Sqrt[b^2 - 4*a*c]*d + 7*a*e)))*ArcTanh[(Sqrt[2]*Sqrt[c]*Sqrt[d +
e*x])/Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]])/Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]))/(2*Sqrt[2]*(b^2 - 4*
a*c)^(3/2)*(c*d^2 + e*(-(b*d) + a*e))))/(2*(b^2 - 4*a*c)*(c*d^2 + e*(-(b*d) + a*e)))

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IntegrateAlgebraic [C]  time = 21.13, size = 1734, normalized size = 2.08 \begin {gather*} -\frac {e \sqrt {d+e x} \left (24 c^5 d^6-72 b c^4 e d^5-72 c^5 (d+e x) d^5+84 a c^4 e^2 d^4+69 b^2 c^3 e^2 d^4+72 c^5 (d+e x)^2 d^4+180 b c^4 e (d+e x) d^4-168 a b c^3 e^3 d^3-18 b^3 c^2 e^3 d^3-24 c^5 (d+e x)^3 d^3-144 b c^4 e (d+e x)^2 d^3-176 a c^4 e^2 (d+e x) d^3-136 b^2 c^3 e^2 (d+e x) d^3+16 a^2 c^3 e^4 d^2+118 a b^2 c^2 e^4 d^2-8 b^4 c e^4 d^2+36 b c^4 e (d+e x)^3 d^2+140 a c^4 e^2 (d+e x)^2 d^2+73 b^2 c^3 e^2 (d+e x)^2 d^2+264 a b c^3 e^3 (d+e x) d^2+24 b^3 c^2 e^3 (d+e x) d^2+5 b^5 e^5 d-16 a^2 b c^2 e^5 d-34 a b^3 c e^5 d-48 a c^4 e^2 (d+e x)^3 d-6 b^2 c^3 e^2 (d+e x)^3 d-140 a b c^3 e^3 (d+e x)^2 d-b^3 c^2 e^3 (d+e x)^2 d-8 a^2 c^3 e^4 (d+e x) d-128 a b^2 c^2 e^4 (d+e x) d+10 b^4 c e^4 (d+e x) d-5 a b^4 e^6-44 a^3 c^2 e^6+37 a^2 b^2 c e^6+24 a b c^3 e^3 (d+e x)^3-3 b^3 c^2 e^3 (d+e x)^3-28 a^2 c^3 e^4 (d+e x)^2+49 a b^2 c^2 e^4 (d+e x)^2-6 b^4 c e^4 (d+e x)^2-3 b^5 e^5 (d+e x)+4 a^2 b c^2 e^5 (d+e x)+20 a b^3 c e^5 (d+e x)\right )}{4 \left (b^2-4 a c\right )^2 \left (-c d^2+b e d-a e^2\right )^2 \left (-c d^2+b e d+2 c (d+e x) d-a e^2-c (d+e x)^2-b e (d+e x)\right )^2}+\frac {3 \left (-32 i \sqrt {2} d^4 c^{9/2}-72 i \sqrt {2} a d^2 e^2 c^{7/2}+64 i \sqrt {2} b d^3 e c^{7/2}+8 \sqrt {2} \sqrt {4 a c-b^2} d^3 e c^{7/2}-56 i \sqrt {2} a^2 e^4 c^{5/2}+72 i \sqrt {2} a b d e^3 c^{5/2}+16 \sqrt {2} a \sqrt {4 a c-b^2} d e^3 c^{5/2}-30 i \sqrt {2} b^2 d^2 e^2 c^{5/2}-12 \sqrt {2} b \sqrt {4 a c-b^2} d^2 e^2 c^{5/2}+10 i \sqrt {2} a b^2 e^4 c^{3/2}-8 \sqrt {2} a b \sqrt {4 a c-b^2} e^4 c^{3/2}-2 i \sqrt {2} b^3 d e^3 c^{3/2}+2 \sqrt {2} b^2 \sqrt {4 a c-b^2} d e^3 c^{3/2}-i \sqrt {2} b^4 e^4 \sqrt {c}+\sqrt {2} b^3 \sqrt {4 a c-b^2} e^4 \sqrt {c}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {-2 c d+b e-i \sqrt {4 a c-b^2} e}}\right )}{8 \left (b^2-4 a c\right )^2 \sqrt {4 a c-b^2} \sqrt {-2 c d+b e-i \sqrt {4 a c-b^2} e} \left (-c d^2+b e d-a e^2\right )^2}+\frac {3 \left (32 i \sqrt {2} d^4 c^{9/2}+72 i \sqrt {2} a d^2 e^2 c^{7/2}-64 i \sqrt {2} b d^3 e c^{7/2}+8 \sqrt {2} \sqrt {4 a c-b^2} d^3 e c^{7/2}+56 i \sqrt {2} a^2 e^4 c^{5/2}-72 i \sqrt {2} a b d e^3 c^{5/2}+16 \sqrt {2} a \sqrt {4 a c-b^2} d e^3 c^{5/2}+30 i \sqrt {2} b^2 d^2 e^2 c^{5/2}-12 \sqrt {2} b \sqrt {4 a c-b^2} d^2 e^2 c^{5/2}-10 i \sqrt {2} a b^2 e^4 c^{3/2}-8 \sqrt {2} a b \sqrt {4 a c-b^2} e^4 c^{3/2}+2 i \sqrt {2} b^3 d e^3 c^{3/2}+2 \sqrt {2} b^2 \sqrt {4 a c-b^2} d e^3 c^{3/2}+i \sqrt {2} b^4 e^4 \sqrt {c}+\sqrt {2} b^3 \sqrt {4 a c-b^2} e^4 \sqrt {c}\right ) \tan ^{-1}\left (\frac {\sqrt {2} \sqrt {c} \sqrt {d+e x}}{\sqrt {-2 c d+b e+i \sqrt {4 a c-b^2} e}}\right )}{8 \left (b^2-4 a c\right )^2 \sqrt {4 a c-b^2} \sqrt {-2 c d+b e+i \sqrt {4 a c-b^2} e} \left (-c d^2+b e d-a e^2\right )^2} \end {gather*}

Antiderivative was successfully verified.

[In]

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

[Out]

-1/4*(e*Sqrt[d + e*x]*(24*c^5*d^6 - 72*b*c^4*d^5*e + 69*b^2*c^3*d^4*e^2 + 84*a*c^4*d^4*e^2 - 18*b^3*c^2*d^3*e^
3 - 168*a*b*c^3*d^3*e^3 - 8*b^4*c*d^2*e^4 + 118*a*b^2*c^2*d^2*e^4 + 16*a^2*c^3*d^2*e^4 + 5*b^5*d*e^5 - 34*a*b^
3*c*d*e^5 - 16*a^2*b*c^2*d*e^5 - 5*a*b^4*e^6 + 37*a^2*b^2*c*e^6 - 44*a^3*c^2*e^6 - 72*c^5*d^5*(d + e*x) + 180*
b*c^4*d^4*e*(d + e*x) - 136*b^2*c^3*d^3*e^2*(d + e*x) - 176*a*c^4*d^3*e^2*(d + e*x) + 24*b^3*c^2*d^2*e^3*(d +
e*x) + 264*a*b*c^3*d^2*e^3*(d + e*x) + 10*b^4*c*d*e^4*(d + e*x) - 128*a*b^2*c^2*d*e^4*(d + e*x) - 8*a^2*c^3*d*
e^4*(d + e*x) - 3*b^5*e^5*(d + e*x) + 20*a*b^3*c*e^5*(d + e*x) + 4*a^2*b*c^2*e^5*(d + e*x) + 72*c^5*d^4*(d + e
*x)^2 - 144*b*c^4*d^3*e*(d + e*x)^2 + 73*b^2*c^3*d^2*e^2*(d + e*x)^2 + 140*a*c^4*d^2*e^2*(d + e*x)^2 - b^3*c^2
*d*e^3*(d + e*x)^2 - 140*a*b*c^3*d*e^3*(d + e*x)^2 - 6*b^4*c*e^4*(d + e*x)^2 + 49*a*b^2*c^2*e^4*(d + e*x)^2 -
28*a^2*c^3*e^4*(d + e*x)^2 - 24*c^5*d^3*(d + e*x)^3 + 36*b*c^4*d^2*e*(d + e*x)^3 - 6*b^2*c^3*d*e^2*(d + e*x)^3
- 48*a*c^4*d*e^2*(d + e*x)^3 - 3*b^3*c^2*e^3*(d + e*x)^3 + 24*a*b*c^3*e^3*(d + e*x)^3))/((b^2 - 4*a*c)^2*(-(c
*d^2) + b*d*e - a*e^2)^2*(-(c*d^2) + b*d*e - a*e^2 + 2*c*d*(d + e*x) - b*e*(d + e*x) - c*(d + e*x)^2)^2) + (3*
((-32*I)*Sqrt[2]*c^(9/2)*d^4 + (64*I)*Sqrt[2]*b*c^(7/2)*d^3*e + 8*Sqrt[2]*c^(7/2)*Sqrt[-b^2 + 4*a*c]*d^3*e - (
30*I)*Sqrt[2]*b^2*c^(5/2)*d^2*e^2 - (72*I)*Sqrt[2]*a*c^(7/2)*d^2*e^2 - 12*Sqrt[2]*b*c^(5/2)*Sqrt[-b^2 + 4*a*c]
*d^2*e^2 - (2*I)*Sqrt[2]*b^3*c^(3/2)*d*e^3 + (72*I)*Sqrt[2]*a*b*c^(5/2)*d*e^3 + 2*Sqrt[2]*b^2*c^(3/2)*Sqrt[-b^
2 + 4*a*c]*d*e^3 + 16*Sqrt[2]*a*c^(5/2)*Sqrt[-b^2 + 4*a*c]*d*e^3 - I*Sqrt[2]*b^4*Sqrt[c]*e^4 + (10*I)*Sqrt[2]*
a*b^2*c^(3/2)*e^4 - (56*I)*Sqrt[2]*a^2*c^(5/2)*e^4 + Sqrt[2]*b^3*Sqrt[c]*Sqrt[-b^2 + 4*a*c]*e^4 - 8*Sqrt[2]*a*
b*c^(3/2)*Sqrt[-b^2 + 4*a*c]*e^4)*ArcTan[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[-2*c*d + b*e - I*Sqrt[-b^2 + 4*a
*c]*e]])/(8*(b^2 - 4*a*c)^2*Sqrt[-b^2 + 4*a*c]*Sqrt[-2*c*d + b*e - I*Sqrt[-b^2 + 4*a*c]*e]*(-(c*d^2) + b*d*e -
a*e^2)^2) + (3*((32*I)*Sqrt[2]*c^(9/2)*d^4 - (64*I)*Sqrt[2]*b*c^(7/2)*d^3*e + 8*Sqrt[2]*c^(7/2)*Sqrt[-b^2 + 4
*a*c]*d^3*e + (30*I)*Sqrt[2]*b^2*c^(5/2)*d^2*e^2 + (72*I)*Sqrt[2]*a*c^(7/2)*d^2*e^2 - 12*Sqrt[2]*b*c^(5/2)*Sqr
t[-b^2 + 4*a*c]*d^2*e^2 + (2*I)*Sqrt[2]*b^3*c^(3/2)*d*e^3 - (72*I)*Sqrt[2]*a*b*c^(5/2)*d*e^3 + 2*Sqrt[2]*b^2*c
^(3/2)*Sqrt[-b^2 + 4*a*c]*d*e^3 + 16*Sqrt[2]*a*c^(5/2)*Sqrt[-b^2 + 4*a*c]*d*e^3 + I*Sqrt[2]*b^4*Sqrt[c]*e^4 -
(10*I)*Sqrt[2]*a*b^2*c^(3/2)*e^4 + (56*I)*Sqrt[2]*a^2*c^(5/2)*e^4 + Sqrt[2]*b^3*Sqrt[c]*Sqrt[-b^2 + 4*a*c]*e^4
- 8*Sqrt[2]*a*b*c^(3/2)*Sqrt[-b^2 + 4*a*c]*e^4)*ArcTan[(Sqrt[2]*Sqrt[c]*Sqrt[d + e*x])/Sqrt[-2*c*d + b*e + I*
Sqrt[-b^2 + 4*a*c]*e]])/(8*(b^2 - 4*a*c)^2*Sqrt[-b^2 + 4*a*c]*Sqrt[-2*c*d + b*e + I*Sqrt[-b^2 + 4*a*c]*e]*(-(c
*d^2) + b*d*e - a*e^2)^2)

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

[Out]

Timed out

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giac [B]  time = 24.89, size = 4233, normalized size = 5.07

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-3/4*(16*c^5*d^2 - 4*(4*b*c^4 - 5*sqrt(b^2 - 4*a*c)*c^4)*d*e + (11*b^2*c^3 - 28*a*c^4 - 10*sqrt(b^2 - 4*a*c)*b
*c^3)*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*b^4*c^3*
d^5 - 16*a*b^2*c^4*d^5 + 32*a^2*c^5*d^5 - 5*b^5*c^2*d^4*e + 40*a*b^3*c^3*d^4*e - 80*a^2*b*c^4*d^4*e + 4*b^6*c*
d^3*e^2 - 28*a*b^4*c^2*d^3*e^2 + 32*a^2*b^2*c^3*d^3*e^2 + 64*a^3*c^4*d^3*e^2 - b^7*d^2*e^3 + 2*a*b^5*c*d^2*e^3
+ 32*a^2*b^3*c^2*d^2*e^3 - 96*a^3*b*c^3*d^2*e^3 + 2*a*b^6*d*e^4 - 14*a^2*b^4*c*d*e^4 + 16*a^3*b^2*c^2*d*e^4 +
32*a^4*c^3*d*e^4 - a^2*b^5*e^5 + 8*a^3*b^3*c*e^5 - 16*a^4*b*c^2*e^5 + sqrt((2*b^4*c^3*d^5 - 16*a*b^2*c^4*d^5
+ 32*a^2*c^5*d^5 - 5*b^5*c^2*d^4*e + 40*a*b^3*c^3*d^4*e - 80*a^2*b*c^4*d^4*e + 4*b^6*c*d^3*e^2 - 28*a*b^4*c^2*
d^3*e^2 + 32*a^2*b^2*c^3*d^3*e^2 + 64*a^3*c^4*d^3*e^2 - b^7*d^2*e^3 + 2*a*b^5*c*d^2*e^3 + 32*a^2*b^3*c^2*d^2*e
^3 - 96*a^3*b*c^3*d^2*e^3 + 2*a*b^6*d*e^4 - 14*a^2*b^4*c*d*e^4 + 16*a^3*b^2*c^2*d*e^4 + 32*a^4*c^3*d*e^4 - a^2
*b^5*e^5 + 8*a^3*b^3*c*e^5 - 16*a^4*b*c^2*e^5)^2 - 4*(b^4*c^3*d^6 - 8*a*b^2*c^4*d^6 + 16*a^2*c^5*d^6 - 3*b^5*c
^2*d^5*e + 24*a*b^3*c^3*d^5*e - 48*a^2*b*c^4*d^5*e + 3*b^6*c*d^4*e^2 - 21*a*b^4*c^2*d^4*e^2 + 24*a^2*b^2*c^3*d
^4*e^2 + 48*a^3*c^4*d^4*e^2 - b^7*d^3*e^3 + 2*a*b^5*c*d^3*e^3 + 32*a^2*b^3*c^2*d^3*e^3 - 96*a^3*b*c^3*d^3*e^3
+ 3*a*b^6*d^2*e^4 - 21*a^2*b^4*c*d^2*e^4 + 24*a^3*b^2*c^2*d^2*e^4 + 48*a^4*c^3*d^2*e^4 - 3*a^2*b^5*d*e^5 + 24*
a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 + a^3*b^4*e^6 - 8*a^4*b^2*c*e^6 + 16*a^5*c^2*e^6)*(b^4*c^3*d^4 - 8*a*b^2*
c^4*d^4 + 16*a^2*c^5*d^4 - 2*b^5*c^2*d^3*e + 16*a*b^3*c^3*d^3*e - 32*a^2*b*c^4*d^3*e + b^6*c*d^2*e^2 - 6*a*b^4
*c^2*d^2*e^2 + 32*a^3*c^4*d^2*e^2 - 2*a*b^5*c*d*e^3 + 16*a^2*b^3*c^2*d*e^3 - 32*a^3*b*c^3*d*e^3 + a^2*b^4*c*e^
4 - 8*a^3*b^2*c^2*e^4 + 16*a^4*c^3*e^4)))/(b^4*c^3*d^4 - 8*a*b^2*c^4*d^4 + 16*a^2*c^5*d^4 - 2*b^5*c^2*d^3*e +
16*a*b^3*c^3*d^3*e - 32*a^2*b*c^4*d^3*e + b^6*c*d^2*e^2 - 6*a*b^4*c^2*d^2*e^2 + 32*a^3*c^4*d^2*e^2 - 2*a*b^5*c
*d*e^3 + 16*a^2*b^3*c^2*d*e^3 - 32*a^3*b*c^3*d*e^3 + a^2*b^4*c*e^4 - 8*a^3*b^2*c^2*e^4 + 16*a^4*c^3*e^4)))/((2
*(b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*sqrt(b^2 - 4*a*c)*d^3 + 3*(b^6*c^2 - 12*a*b^4*c^3 + 48*a^2*b^2*c^4 - 64*
a^3*c^5 - (b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*sqrt(b^2 - 4*a*c))*d^2*e - 3*(b^7*c - 12*a*b^5*c^2 + 48*a^2*b
^3*c^3 - 64*a^3*b*c^4 - (b^6*c - 10*a*b^4*c^2 + 32*a^2*b^2*c^3 - 32*a^3*c^4)*sqrt(b^2 - 4*a*c))*d*e^2 + (b^8 -
13*a*b^6*c + 60*a^2*b^4*c^2 - 112*a^3*b^2*c^3 + 64*a^4*c^4 - (b^7 - 11*a*b^5*c + 40*a^2*b^3*c^2 - 48*a^3*b*c^
3)*sqrt(b^2 - 4*a*c))*e^3)*abs(c)) + 3/4*(16*c^5*d^2 - 4*(4*b*c^4 + 5*sqrt(b^2 - 4*a*c)*c^4)*d*e + (11*b^2*c^3
- 28*a*c^4 + 10*sqrt(b^2 - 4*a*c)*b*c^3)*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*arctan(2*sqrt(
1/2)*sqrt(x*e + d)/sqrt(-(2*b^4*c^3*d^5 - 16*a*b^2*c^4*d^5 + 32*a^2*c^5*d^5 - 5*b^5*c^2*d^4*e + 40*a*b^3*c^3*d
^4*e - 80*a^2*b*c^4*d^4*e + 4*b^6*c*d^3*e^2 - 28*a*b^4*c^2*d^3*e^2 + 32*a^2*b^2*c^3*d^3*e^2 + 64*a^3*c^4*d^3*e
^2 - b^7*d^2*e^3 + 2*a*b^5*c*d^2*e^3 + 32*a^2*b^3*c^2*d^2*e^3 - 96*a^3*b*c^3*d^2*e^3 + 2*a*b^6*d*e^4 - 14*a^2*
b^4*c*d*e^4 + 16*a^3*b^2*c^2*d*e^4 + 32*a^4*c^3*d*e^4 - a^2*b^5*e^5 + 8*a^3*b^3*c*e^5 - 16*a^4*b*c^2*e^5 - sqr
t((2*b^4*c^3*d^5 - 16*a*b^2*c^4*d^5 + 32*a^2*c^5*d^5 - 5*b^5*c^2*d^4*e + 40*a*b^3*c^3*d^4*e - 80*a^2*b*c^4*d^4
*e + 4*b^6*c*d^3*e^2 - 28*a*b^4*c^2*d^3*e^2 + 32*a^2*b^2*c^3*d^3*e^2 + 64*a^3*c^4*d^3*e^2 - b^7*d^2*e^3 + 2*a*
b^5*c*d^2*e^3 + 32*a^2*b^3*c^2*d^2*e^3 - 96*a^3*b*c^3*d^2*e^3 + 2*a*b^6*d*e^4 - 14*a^2*b^4*c*d*e^4 + 16*a^3*b^
2*c^2*d*e^4 + 32*a^4*c^3*d*e^4 - a^2*b^5*e^5 + 8*a^3*b^3*c*e^5 - 16*a^4*b*c^2*e^5)^2 - 4*(b^4*c^3*d^6 - 8*a*b^
2*c^4*d^6 + 16*a^2*c^5*d^6 - 3*b^5*c^2*d^5*e + 24*a*b^3*c^3*d^5*e - 48*a^2*b*c^4*d^5*e + 3*b^6*c*d^4*e^2 - 21*
a*b^4*c^2*d^4*e^2 + 24*a^2*b^2*c^3*d^4*e^2 + 48*a^3*c^4*d^4*e^2 - b^7*d^3*e^3 + 2*a*b^5*c*d^3*e^3 + 32*a^2*b^3
*c^2*d^3*e^3 - 96*a^3*b*c^3*d^3*e^3 + 3*a*b^6*d^2*e^4 - 21*a^2*b^4*c*d^2*e^4 + 24*a^3*b^2*c^2*d^2*e^4 + 48*a^4
*c^3*d^2*e^4 - 3*a^2*b^5*d*e^5 + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 + a^3*b^4*e^6 - 8*a^4*b^2*c*e^6 + 16*
a^5*c^2*e^6)*(b^4*c^3*d^4 - 8*a*b^2*c^4*d^4 + 16*a^2*c^5*d^4 - 2*b^5*c^2*d^3*e + 16*a*b^3*c^3*d^3*e - 32*a^2*b
*c^4*d^3*e + b^6*c*d^2*e^2 - 6*a*b^4*c^2*d^2*e^2 + 32*a^3*c^4*d^2*e^2 - 2*a*b^5*c*d*e^3 + 16*a^2*b^3*c^2*d*e^3
- 32*a^3*b*c^3*d*e^3 + a^2*b^4*c*e^4 - 8*a^3*b^2*c^2*e^4 + 16*a^4*c^3*e^4)))/(b^4*c^3*d^4 - 8*a*b^2*c^4*d^4 +
16*a^2*c^5*d^4 - 2*b^5*c^2*d^3*e + 16*a*b^3*c^3*d^3*e - 32*a^2*b*c^4*d^3*e + b^6*c*d^2*e^2 - 6*a*b^4*c^2*d^2*
e^2 + 32*a^3*c^4*d^2*e^2 - 2*a*b^5*c*d*e^3 + 16*a^2*b^3*c^2*d*e^3 - 32*a^3*b*c^3*d*e^3 + a^2*b^4*c*e^4 - 8*a^3
*b^2*c^2*e^4 + 16*a^4*c^3*e^4)))/((2*(b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*sqrt(b^2 - 4*a*c)*d^3 - 3*(b^6*c^2 -
12*a*b^4*c^3 + 48*a^2*b^2*c^4 - 64*a^3*c^5 + (b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*sqrt(b^2 - 4*a*c))*d^2*e
+ 3*(b^7*c - 12*a*b^5*c^2 + 48*a^2*b^3*c^3 - 64*a^3*b*c^4 + (b^6*c - 10*a*b^4*c^2 + 32*a^2*b^2*c^3 - 32*a^3*c^
4)*sqrt(b^2 - 4*a*c))*d*e^2 - (b^8 - 13*a*b^6*c + 60*a^2*b^4*c^2 - 112*a^3*b^2*c^3 + 64*a^4*c^4 + (b^7 - 11*a*
b^5*c + 40*a^2*b^3*c^2 - 48*a^3*b*c^3)*sqrt(b^2 - 4*a*c))*e^3)*abs(c)) + 1/4*(24*(x*e + d)^(7/2)*c^5*d^3*e - 7
2*(x*e + d)^(5/2)*c^5*d^4*e + 72*(x*e + d)^(3/2)*c^5*d^5*e - 24*sqrt(x*e + d)*c^5*d^6*e - 36*(x*e + d)^(7/2)*b
*c^4*d^2*e^2 + 144*(x*e + d)^(5/2)*b*c^4*d^3*e^2 - 180*(x*e + d)^(3/2)*b*c^4*d^4*e^2 + 72*sqrt(x*e + d)*b*c^4*
d^5*e^2 + 6*(x*e + d)^(7/2)*b^2*c^3*d*e^3 + 48*(x*e + d)^(7/2)*a*c^4*d*e^3 - 73*(x*e + d)^(5/2)*b^2*c^3*d^2*e^
3 - 140*(x*e + d)^(5/2)*a*c^4*d^2*e^3 + 136*(x*e + d)^(3/2)*b^2*c^3*d^3*e^3 + 176*(x*e + d)^(3/2)*a*c^4*d^3*e^
3 - 69*sqrt(x*e + d)*b^2*c^3*d^4*e^3 - 84*sqrt(x*e + d)*a*c^4*d^4*e^3 + 3*(x*e + d)^(7/2)*b^3*c^2*e^4 - 24*(x*
e + d)^(7/2)*a*b*c^3*e^4 + (x*e + d)^(5/2)*b^3*c^2*d*e^4 + 140*(x*e + d)^(5/2)*a*b*c^3*d*e^4 - 24*(x*e + d)^(3
/2)*b^3*c^2*d^2*e^4 - 264*(x*e + d)^(3/2)*a*b*c^3*d^2*e^4 + 18*sqrt(x*e + d)*b^3*c^2*d^3*e^4 + 168*sqrt(x*e +
d)*a*b*c^3*d^3*e^4 + 6*(x*e + d)^(5/2)*b^4*c*e^5 - 49*(x*e + d)^(5/2)*a*b^2*c^2*e^5 + 28*(x*e + d)^(5/2)*a^2*c
^3*e^5 - 10*(x*e + d)^(3/2)*b^4*c*d*e^5 + 128*(x*e + d)^(3/2)*a*b^2*c^2*d*e^5 + 8*(x*e + d)^(3/2)*a^2*c^3*d*e^
5 + 8*sqrt(x*e + d)*b^4*c*d^2*e^5 - 118*sqrt(x*e + d)*a*b^2*c^2*d^2*e^5 - 16*sqrt(x*e + d)*a^2*c^3*d^2*e^5 + 3
*(x*e + d)^(3/2)*b^5*e^6 - 20*(x*e + d)^(3/2)*a*b^3*c*e^6 - 4*(x*e + d)^(3/2)*a^2*b*c^2*e^6 - 5*sqrt(x*e + d)*
b^5*d*e^6 + 34*sqrt(x*e + d)*a*b^3*c*d*e^6 + 16*sqrt(x*e + d)*a^2*b*c^2*d*e^6 + 5*sqrt(x*e + d)*a*b^4*e^7 - 37
*sqrt(x*e + d)*a^2*b^2*c*e^7 + 44*sqrt(x*e + d)*a^3*c^2*e^7)/((b^4*c^2*d^4 - 8*a*b^2*c^3*d^4 + 16*a^2*c^4*d^4
- 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 32*a^2*b*c^3*d^3*e + b^6*d^2*e^2 - 6*a*b^4*c*d^2*e^2 + 32*a^3*c^3*d^2*e
^2 - 2*a*b^5*d*e^3 + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3 + a^2*b^4*e^4 - 8*a^3*b^2*c*e^4 + 16*a^4*c^2*e^4)
*((x*e + d)^2*c - 2*(x*e + d)*c*d + c*d^2 + (x*e + d)*b*e - b*d*e + a*e^2)^2)

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maple [B]  time = 0.70, size = 4488, normalized size = 5.37 \begin {gather*} \text {output too large to display} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-3*e^2*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*c*e^2
+b^2*e^2)^(1/2)/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*e^2+b^2*e^2
)^(1/2)*c)*(e*x+d)^(3/2)*b+3*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-4*a*c+b^2)*e^2
)^(1/2)/c)^2*(-4*a*c*e^2+b^2*e^2)^(1/2)/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*b-6*e*c^2/(-(4*a
*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*c*e^2+b^2*e^2)^(1/2)/(
-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*d-168*e^3*c^4/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a
*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2
)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2
)^(1/2))*c)^(1/2)*c)*a+96*e*c^5/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^
2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(
1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d^2-3*e^2*c^2/
(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*c*e^2+b^2*e^2)^(
1/2)/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*
(e*x+d)^(3/2)*b+3*e^2*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^
2*(-4*a*c*e^2+b^2*e^2)^(1/2)/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*b+96*e^2*c^4/(-(4*a*c-b^2)*
e^2)^(1/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*
c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((
b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d-60*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a*c*e
^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((
-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1
/2))*c)^(1/2)*c)*b*(-4*a*c*e^2+b^2*e^2)^(1/2)-60*e^2*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*
b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2
*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^
(1/2)*c)*b*(-4*a*c*e^2+b^2*e^2)^(1/2)-18*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-
4*a*c+b^2)*e^2)^(1/2)/c)^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*
e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*a+9/2*e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((
-4*a*c+b^2)*e^2)^(1/2)/c)^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c
*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*b^2+22*e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*
((-4*a*c+b^2)*e^2)^(1/2)/c)^2/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*a-11/2*e^3*c/(-(4*a*c-b^2)
*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2/(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1
/2))*(e*x+d)^(1/2)*b^2+18*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)
^(1/2)/c)^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(1
/2)*c)*(e*x+d)^(3/2)*a-9/2*e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2
)^(1/2)/c)^2/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^2*e^2)^(
1/2)*c)*(e*x+d)^(3/2)*b^2-22*e^3*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e
^2)^(1/2)/c)^2/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*a+11/2*e^3*c/(-(4*a*c-b^2)*e^2)^(1/2)/(4*
a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1
/2)*b^2-6*e*c^2/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*
c*e^2+b^2*e^2)^(1/2)/(-b*e+2*c*d-(-4*a*c*e^2+b^2*e^2)^(1/2))*(e*x+d)^(1/2)*d+168*e^3*c^4/(-(4*a*c-b^2)*e^2)^(1
/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b
^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c
*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*a-96*e*c^5/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*b^2*e
^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+
(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)
*c)*d^2+6*e*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(e*x+1/2*b/c*e+1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*
c*e^2+b^2*e^2)^(1/2)/(-2*a*c*e^2+b^2*e^2-2*b*c*d*e+2*c^2*d^2+b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-2*d*(-4*a*c*e^2+b^
2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*d-66*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*b^2*e^2-8*b*c*
d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-
b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+6
6*e^3*c^3/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^
2*e^2)^(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh
((e*x+d)^(1/2)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b^2+6*e*c^3/(-(4*a*c-b^2)*e^2)^(1/2)
/(4*a*c-b^2)^2/(e*x+1/2*b/c*e-1/2*((-4*a*c+b^2)*e^2)^(1/2)/c)^2*(-4*a*c*e^2+b^2*e^2)^(1/2)/(-2*a*c*e^2+b^2*e^2
-2*b*c*d*e+2*c^2*d^2-b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)+2*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*(e*x+d)^(3/2)*d+120*e*c^
4/(-(4*a*c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(-8*a*c*e^2+4*b^2*e^2-8*b*c*d*e+8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^
(1/2)-8*d*(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctan((e*x+d)^
(1/2)*2^(1/2)/((b*e-2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d*(-4*a*c*e^2+b^2*e^2)^(1/2)+120*e*c^4/(-(4*a*
c-b^2)*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*
(-4*a*c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^
(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*d*(-4*a*c*e^2+b^2*e^2)^(1/2)-96*e^2*c^4/(-(4*a*c-b^2)
*e^2)^(1/2)/(4*a*c-b^2)^2/(8*a*c*e^2-4*b^2*e^2+8*b*c*d*e-8*c^2*d^2+4*b*e*(-4*a*c*e^2+b^2*e^2)^(1/2)-8*d*(-4*a*
c*e^2+b^2*e^2)^(1/2)*c)*2^(1/2)/((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*arctanh((e*x+d)^(1/2)*2^(1/2)/
((-b*e+2*c*d+(-(4*a*c-b^2)*e^2)^(1/2))*c)^(1/2)*c)*b*d

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

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mupad [B]  time = 18.17, size = 132771, normalized size = 159.01

result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

((e*(d + e*x)^(5/2)*(6*b^4*c*e^4 - 72*c^5*d^4 + 28*a^2*c^3*e^4 - 49*a*b^2*c^2*e^4 - 140*a*c^4*d^2*e^2 + b^3*c^
2*d*e^3 - 73*b^2*c^3*d^2*e^2 + 144*b*c^4*d^3*e + 140*a*b*c^3*d*e^3))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)*(a*e^2
+ c*d^2 - b*d*e)^2) - ((d + e*x)^(1/2)*(24*c^4*d^4*e - 5*b^4*e^5 - 44*a^2*c^2*e^5 + 60*a*c^3*d^2*e^3 - 48*b*c^
3*d^3*e^2 + 21*b^2*c^2*d^2*e^3 + 37*a*b^2*c*e^5 + 3*b^3*c*d*e^4 - 60*a*b*c^2*d*e^4))/(4*(b^4 + 16*a^2*c^2 - 8*
a*b^2*c)*(a*e^2 + c*d^2 - b*d*e)) + (e*(d + e*x)^(3/2)*(3*b^5*e^5 + 72*c^5*d^5 - 4*a^2*b*c^2*e^5 + 176*a*c^4*d
^3*e^2 + 8*a^2*c^3*d*e^4 + 136*b^2*c^3*d^3*e^2 - 24*b^3*c^2*d^2*e^3 - 20*a*b^3*c*e^5 - 180*b*c^4*d^4*e - 10*b^
4*c*d*e^4 - 264*a*b*c^3*d^2*e^3 + 128*a*b^2*c^2*d*e^4))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)*(a*e^2 + c*d^2 - b*d
*e)^2) + (3*c*e*(d + e*x)^(7/2)*(8*c^4*d^3 + b^3*c*e^3 + 2*b^2*c^2*d*e^2 - 8*a*b*c^2*e^3 + 16*a*c^3*d*e^2 - 12
*b*c^3*d^2*e))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)*(a*e^2 + c*d^2 - b*d*e)^2))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c
^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*
(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e +
2*a*c*d^2*e^2) + atan(((((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*a^4*
b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2
*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d
^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^
14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d
^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*
c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 155648
0*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 2
01216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10
*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 936960*a^
4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 -
5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^
9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^8*b*
c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d
^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10
+ 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*
e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*
c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^
10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 2
40*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8
- 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*
e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2
*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b
^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*
b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^
5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a
^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504
*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e
- 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^1
3*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^
7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 491
52*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) - ((d + e*x)^(1/2)*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512
*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9
*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9
+ 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^
6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) +
2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024
*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 2
1*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 2956
80*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6
+ 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*
d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*
b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1
800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^
6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5
*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6
- 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e
^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c
^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 510
72*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^
15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*
b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a
^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321
920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3
*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^
10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10
+ 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^
3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7
*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14
*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*
c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 +
5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e
^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*
a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 172
00*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2
- 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d
^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*
b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 700
0*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^
6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b
^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4
- 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14
*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 1
0567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*
c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 +
2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^
6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 -
37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*
b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*
e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040
*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e
+ 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b
^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d
^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^
8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d
^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c
^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a
^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7
+ 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 -
1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a^5*
c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e
^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*
d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*
c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^
13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286720
*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 -
6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7
*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4
*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064*a^
5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 11
46880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*
e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 +
5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 58982
4*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 - 196
6080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*
(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*
c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3
*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6
*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 -
90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a
^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b
^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*
c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^
4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 5
2*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2
*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^
9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*
e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a
^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^
6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512
*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^
6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^
4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b
^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a
^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4
+ 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11
*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a
^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 -
9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7
*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 632217
6*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*
a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8
- 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^1
1*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d
^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4
*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^1
2*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*
b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(
4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*
d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b
^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c
^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^1
2*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^1
0 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10
+ 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880
*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*
b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20
*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b
^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000
*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 -
6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6
*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^
18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 +
2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*
d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 749568
0*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2
*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*
a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*
e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*
a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^
8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376
*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*
d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32
768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^
3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b
^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*
d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 +
38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290
240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 3
8400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*
e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*
c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 131072
00*a^13*b^3*c^9*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 1
80*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6
192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d
^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 58752*
a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*
e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^
8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5
- 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4
*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c
^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 -
1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*
a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*
b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2
*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*
b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 102
4*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d
^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c
- b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e
- 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^
3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c
^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 61931
52*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*
d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)
^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^
2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 208
8960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*
e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^
5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 9792
0*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*
e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^
2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1
720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11
*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8
*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^
12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c
^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*
c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b
^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*
a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) -
54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*
e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*
d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*
c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*
c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^
10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e
^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 1048
5760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^2
3*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^2
1*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^
3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 4
5600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^
7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^1
5*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*
a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*
e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^
8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 -
2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c
^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 133
93920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^
12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 356
35200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13
*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 +
55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^
2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e
^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800
*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b
^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*
d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e
+ 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e -
4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 -
14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*
d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12
*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^
(1/2)*1i - (((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^1
1 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 +
524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 512
*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*e
^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 435
200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8
- 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c^
9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b^
10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 - 2
048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d^
2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^5
*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 -
2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10 +
10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 147
2*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^3
*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 70778
88*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10))
/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 -
24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c
^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b
^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*
a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^
5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*
e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*
e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^
4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d
^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5
*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^9
*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5
+ 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a^
5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7
*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + ((d + e*x)^(1/2)*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^
9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8
+ 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b
^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^
9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6
*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^
6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^
5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c
^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b
^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 35
6160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7
*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b
^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418
752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2
*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^
6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c
- b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2
359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^
7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e
^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e
^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^
6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^
10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*
c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10
+ 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*
d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d
^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^
10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 +
53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2
949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^1
1*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22
*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3
*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*
c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4
*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 640
0*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6
*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c
^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688
000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*
e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^
7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8
+ 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*
b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8
- 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*
b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 -
2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^1
0*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*
e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 327680
00*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^
10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*
c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*
e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 384
00*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*
a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400
*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e +
1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*
d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a
^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9
*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2
+ 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^1
1*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20
480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5
- 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e
^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7
*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^1
1*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 86016
0*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 3
93216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^
4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^
3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a
*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12
*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11
*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c
^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8
+ 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*
b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8
+ 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4
+ 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*
c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d
^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e
^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6
+ 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^
7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*
d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 307
2*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*
e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b
^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*
e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343
936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^
7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 -
882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a
*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e
^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*
d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3
*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2
150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d
^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*
b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3
612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^
8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^1
5)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a
^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^
3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368
640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 294
9120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 +
1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e
^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)
^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 10485
76*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6
- 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53
760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 294
9120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^
9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a
^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d
^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8
*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4
+ 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*
e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^
6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^
19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 5
86752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e
^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*
b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15
360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c
^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660
800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*
d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 114688
00*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*
d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*
a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^
10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 52
42880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*
b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e
^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^
5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 38
0*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b
^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11
*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^1
5*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*
a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 -
31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*
c^9*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4
*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*
c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 397
8*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*
e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a
*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*
a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*
d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 2
56*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 +
6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^
4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*
d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*
e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6
+ 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7
- 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^
6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 102
4*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(
1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2
*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e
^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 301
0560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*
d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21
*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*
a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d
^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6
*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960
*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e
^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^
6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 432230
4*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e
^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b
^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9
*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c
*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e
^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e +
2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e +
188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8
- 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*
d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d
*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*
c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^
21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 2
58048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 -
2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*
a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 262144
0*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^
13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^
3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^
5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d
^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^1
6*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*
a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^
5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9
*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760
*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e
^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*
b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2
+ 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^
10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 -
32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^
8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 4
1943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^1
0*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e
^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 1966080
0*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^
9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9
- 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 17
0*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b
^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*
b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^
8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300
800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*
e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*1i)/((
3*(189*b^7*c^5*e^10 + 18432*c^12*d^7*e^3 - 3456*a*b^5*c^6*e^10 - 56448*a^3*b*c^8*e^10 + 87552*a*c^11*d^5*e^5 +
112896*a^3*c^9*d*e^9 - 64512*b*c^11*d^6*e^4 + 810*b^6*c^6*d*e^9 + 22608*a^2*b^3*c^7*e^10 + 157824*a^2*c^10*d^
3*e^7 + 74880*b^2*c^10*d^5*e^5 - 25920*b^3*c^9*d^4*e^6 - 4536*b^4*c^8*d^3*e^7 + 468*b^5*c^7*d^2*e^8 - 218880*a
*b*c^10*d^4*e^6 - 10656*a*b^4*c^7*d*e^9 + 139968*a*b^2*c^9*d^3*e^7 + 8928*a*b^3*c^8*d^2*e^8 - 236736*a^2*b*c^9
*d^2*e^8 + 33696*a^2*b^2*c^8*d*e^9))/(32*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8
+ b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*
e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^
8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*
e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^
10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*
c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8
*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^
5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b
^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7
*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7
- 16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^
9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*
e + 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360
*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + (((3*(1835008*a^9*c^9*e^11 - 64*a^2
*b^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c
^6*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6
*e^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 30
08*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9
- 81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d
^5*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*
c^11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240
*a^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 +
2621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c
^8*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*
a^5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9
+ 131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*
c^9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7
*e^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8
+ 1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 -
2097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*
e^10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*
a^10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*
b^13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c
^8*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b
^2*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^
14*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8
*c^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6
*c^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^
4*c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b
^3*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7
*b^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d
^4*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b
^13*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*
e^6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 491
52*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) - ((d + e
*x)^(1/2)*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*
a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9
+ 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^
4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*
c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 688
1280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4
*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9
+ 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 6552
0*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2
- 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6
*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*
a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 5
89824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9
*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800
*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e
^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b
^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a
*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b
^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14
*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b
^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a
^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*
c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c
- b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^
25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e
+ 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^1
0*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b
^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5
*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^
9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 +
10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*
b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3
*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410
*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4
+ 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*
d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5
*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 34
40640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5
*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*
a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*
e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8
*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^
6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9
*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6
+ 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*
b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4
*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680
*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^
8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2
621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^1
0*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*
d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7
- 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*
e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^
9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*
c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 1474560
0*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e
^10 - 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7
*b^5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d
^5*e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^
13*c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^
8*e^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*
c^4*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b
^5*c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440
*a^3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 +
737280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4
*e^7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c
^9*d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^
5*b^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 +
917504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 1
9968*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^
3*b^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*
a^6*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 78643
2*a^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4
*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7
*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 +
6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 +
512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a
^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^
3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^
5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e
- 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^
2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*
c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7))
)*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^
10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 32768
0*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c
^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9
+ 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8
*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 4
2*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18
*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^
11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 43008
0*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6
- 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*
c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^
5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5
+ 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3
*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 129
02400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^
(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2
)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*
d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e
^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*
d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^1
1*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*
e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^
15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e
^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24
*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d
^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*
d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 +
860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 -
10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760
*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5
*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^
6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^2
0*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240
*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2
+ 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^
4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^
6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6
- 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*
c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 15
05280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^1
0*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440
640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^1
1*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 24576
00*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12
*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9
830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^
3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^
8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a
^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14
*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4
- 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 26880
0*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600
*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 26
8800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^
9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b
^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(14112*a
^4*c^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^
7*e^3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c
^8*d^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*
b^6*c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*
e^9 + 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6
336*a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*
a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 9
6*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024
*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2
- 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*
a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*
b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*
c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1
024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3
- 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^
6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288
*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^
9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 6553
60*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c
^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c
- b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12
*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b
^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8
*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^
2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1
088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2
*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*
b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945
664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^
3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a
^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7
+ 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d
^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^1
0*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4
*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11
*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^
6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^
4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(
1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^2
0*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 -
40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16
*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11
*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e
^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10
- 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10
*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242
880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*
c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^1
7*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^
4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 1
7200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^
7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^1
7*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903
040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^
3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^
7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^
7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*
b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7
- 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*
b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 +
7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*
b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e
^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120
*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11
*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 20
0*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c
^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e
- 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 39
5*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 983
0400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 +
13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*
d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a
^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) + (((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11
+ 1856*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 19496
96*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*
a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6
*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^
6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*
a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 -
1310720*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^
4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^
3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 10
64960*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^
5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b
^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 1
28*a*b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*
b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c
^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*
c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*
a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 +
b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*
b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a
^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*
a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2
+ 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 +
2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 -
10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 -
21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3
- 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^
4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4
*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3
- 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4
*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^
5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + ((d + e*x)^(1/2)*(-(9*
(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9
- 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b
^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9
- 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^
2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d
^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*
c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^
8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*
d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b
^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 2160
0*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5
*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c
^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956
608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d
^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a
^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) -
46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(
1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5
+ 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 14
74560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 -
715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e
^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(
4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/
2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40
*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*
e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 8
60160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 +
720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*
a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2
*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c
^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^
2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e
^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d
^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^
17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 15052
80*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e
^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*
c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 3840
00*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7
*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a
^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e
^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8
*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e
^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*
b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^
3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*
a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*
d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 524
2880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2
*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e
- 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*
a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b
^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^
17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^
8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 209
71520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*
d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9
*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 +
81920*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288
*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5
- 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*
a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3
584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3
+ 573440*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^
4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*
c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^
4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 20
64384*a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e
^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*
c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6
*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^
10 + 4992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*
e^5 + 143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2
*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4
*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d
^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*
e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^
4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*
e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 -
2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 204
8*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d
^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^
2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 307
2*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^
9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 172032
0*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*
d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864
*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^
9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 -
3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*
e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 5760
00*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5
- 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d
^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^
11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 2
41920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*
e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*
b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 -
9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c
^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a
*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 7
6032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*
a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^
3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*
a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645
120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c -
b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(12
8*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*
c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 72
0*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^
6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*
b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8
*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^
3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*
e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400
*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 624
00*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 +
499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d
^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b
^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 624
00*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*
e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b
^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 1
3393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*
c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 356
35200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^
6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 557
05600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*
d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 4390
9120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7
*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5
- 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^1
2*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^
2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 524288
0*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17
*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*
d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d
*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c
^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^
11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 -
20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9
*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*
c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27
360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8
+ 28512*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b
^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6
*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 -
16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d
^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^
2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c
^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4
*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4
- 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1
152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d
^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c
^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384
*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 -
512*b^10*c^9*d^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640
*a^9*c^10*d*e^8 + 2304*b^11*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13
*d^9 + 769*a^2*b^15*c^2*e^9 - 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 106982
4*a^6*b^7*c^6*e^9 - 2343936*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/
2) + 2752512*a^6*c^13*d^7*e^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 +
3024*b^13*c^6*d^6*e^3 - 882*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7
+ 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 +
295680*a^2*b^9*c^8*d^6*e^3 + 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*
e^6 + 5400*a^2*b^13*c^4*d^2*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*
c^8*d^5*e^4 + 356160*a^3*b^9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*
a^4*b^4*c^11*d^7*e^2 - 2150400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5
- 1800960*a^4*b^8*c^7*d^3*e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^1
1*d^6*e^3 - 9418752*a^5*b^4*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088
*a^5*b^7*c^7*d^2*e^7 + 3612672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*
e^6 - 6322176*a^6*b^5*c^8*d^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d
^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^
16*c^2*d*e^8 - 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 -
51072*a*b^11*c^7*d^6*e^3 + 6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*
a*b^15*c^3*d^2*e^7 + 368640*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*
a^3*b^12*c^4*d*e^8 + 2949120*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 96337
92*a^6*b*c^12*d^6*e^3 + 1430016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 1
0321920*a^8*b*c^10*d^2*e^7 - 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3
*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 104857
6*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*
e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 768
0*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080
*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*
b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*
b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e
^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d
^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2
410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 -
17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*
e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c
^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*
a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 +
7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^
7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a
^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*
e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*
b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4
+ 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b
^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^
4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^1
0*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^
4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a
^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*
d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 4194
3040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^
9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395
*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22
*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^
2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^
11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b
^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 98304
00*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*
e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)))*(-(9*(b^19*e^9 + 524288*a^5*c^14*d^9 - 512*b^10*c^9*d^9 + b^4*e^9
*(-(4*a*c - b^2)^15)^(1/2) + 10240*a*b^8*c^10*d^9 - 1720320*a^9*b*c^9*e^9 + 3440640*a^9*c^10*d*e^8 + 2304*b^11
*c^8*d^8*e - 81920*a^2*b^6*c^11*d^9 + 327680*a^3*b^4*c^12*d^9 - 655360*a^4*b^2*c^13*d^9 + 769*a^2*b^15*c^2*e^9
- 8620*a^3*b^13*c^3*e^9 + 63440*a^4*b^11*c^4*e^9 - 316864*a^5*b^9*c^5*e^9 + 1069824*a^6*b^7*c^6*e^9 - 2343936
*a^7*b^5*c^7*e^9 + 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) + 2752512*a^6*c^13*d^7*e
^2 + 6193152*a^7*c^12*d^5*e^4 + 6881280*a^8*c^11*d^3*e^6 - 3936*b^12*c^7*d^7*e^2 + 3024*b^13*c^6*d^6*e^3 - 882
*b^14*c^5*d^5*e^4 + 21*b^15*c^4*d^4*e^5 - 42*b^16*c^3*d^3*e^6 + 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c
- b^2)^15)^(1/2) - 41*a*b^17*c*e^9 + 3*b^18*c*d*e^8 - 576000*a^2*b^8*c^9*d^7*e^2 + 295680*a^2*b^9*c^8*d^6*e^3
+ 74592*a^2*b^10*c^7*d^5*e^4 - 65520*a^2*b^11*c^6*d^4*e^5 - 25200*a^2*b^12*c^5*d^3*e^6 + 5400*a^2*b^13*c^4*d^2
*e^7 + 2088960*a^3*b^6*c^10*d^7*e^2 - 430080*a^3*b^7*c^9*d^6*e^3 - 1088640*a^3*b^8*c^8*d^5*e^4 + 356160*a^3*b^
9*c^7*d^4*e^5 + 288960*a^3*b^10*c^6*d^3*e^6 - 21600*a^3*b^11*c^5*d^2*e^7 - 3317760*a^4*b^4*c^11*d^7*e^2 - 2150
400*a^4*b^5*c^10*d^6*e^3 + 4999680*a^4*b^6*c^9*d^5*e^4 - 241920*a^4*b^7*c^8*d^4*e^5 - 1800960*a^4*b^8*c^7*d^3*
e^6 - 97920*a^4*b^9*c^6*d^2*e^7 + 589824*a^5*b^2*c^12*d^7*e^2 + 8945664*a^5*b^3*c^11*d^6*e^3 - 9418752*a^5*b^4
*c^10*d^5*e^4 - 4322304*a^5*b^5*c^9*d^4*e^5 + 5956608*a^5*b^6*c^8*d^3*e^6 + 1433088*a^5*b^7*c^7*d^2*e^7 + 3612
672*a^6*b^2*c^11*d^5*e^4 + 15052800*a^6*b^3*c^10*d^4*e^5 - 9031680*a^6*b^4*c^9*d^3*e^6 - 6322176*a^6*b^5*c^8*d
^2*e^7 + 1720320*a^7*b^2*c^10*d^3*e^6 + 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^
(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) - 46080*a*b^9*c^9*d^8*e - 144*a*b^16*c^2*d*e^8 - 2359296*a^5*
b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) + 76032*a*b^10*c^8*d^7*e^2 - 51072*a*b^11*c^7*d^6*e^3 +
6552*a*b^12*c^6*d^5*e^4 + 3780*a*b^13*c^5*d^4*e^5 + 1260*a*b^14*c^4*d^3*e^6 - 486*a*b^15*c^3*d^2*e^7 + 368640
*a^2*b^7*c^10*d^8*e + 2790*a^2*b^14*c^3*d*e^8 - 1474560*a^3*b^5*c^11*d^8*e - 29640*a^3*b^12*c^4*d*e^8 + 294912
0*a^4*b^3*c^12*d^8*e + 188640*a^4*b^10*c^5*d*e^8 - 715392*a^5*b^8*c^6*d*e^8 - 9633792*a^6*b*c^12*d^6*e^3 + 143
0016*a^6*b^6*c^7*d*e^8 - 15482880*a^7*b*c^11*d^4*e^5 - 645120*a^7*b^4*c^8*d*e^8 - 10321920*a^8*b*c^10*d^2*e^7
- 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15
)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*
a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5
*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760
*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 294912
0*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b
^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13
*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*
e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^
2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 +
50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4
- 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d
^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*
c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 5867
52*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8
+ 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^1
3*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360
000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*
d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800
*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5
*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*
a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5
*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^1
0*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*
d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 52428
80*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5
*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7
- 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 +
200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a
*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15
*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^
9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c
^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9
*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 314
57280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9
*d*e^9)))^(1/2)*2i + atan(((((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*
a^4*b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8
*b^2*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^
10*d^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 38
4*b^14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c
^9*d^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b
^11*c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 15
56480*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8
+ 201216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*
c^10*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 93696
0*a^4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e
^7 - 5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^
3*c^9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^
8*b*c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c
^6*d^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*
e^10 + 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^
6*d*e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*
b^3*c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*
a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3
+ 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*
e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*
d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672
*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a
^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*
a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 3225
6*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 215
04*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 2
1504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d
^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2
*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^
8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 -
49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) - ((d + e*x)^(1/2)*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^1
4*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*
a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*
d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824
*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2
) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3
024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7
+ 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 2
95680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e
^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c
^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a
^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5
+ 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11
*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*
a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e
^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^
2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^1
6*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 +
51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a
*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a
^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 963379
2*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10
321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*
d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576
*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e
^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680
*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*
a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b
^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b
^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^
8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^
2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 24
10*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 -
17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e
^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^
3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a
^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 +
7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7
*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^
6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e
^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b
^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4
+ 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^
12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4
+ 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10
*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4
- 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^
10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d
^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943
040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9
*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*
a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*
c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2
*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^1
1*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^
3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 983040
0*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e
^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11
- 1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a
^5*c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^
9*e^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c
^2*d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b
^9*c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2
*b^13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286
720*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8
- 6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*
d^7*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*
c^4*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064
*a^5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 +
1146880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d
^2*e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^
5 + 5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 58
9824*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 -
1966080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/
(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b
^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*
a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*
a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^
3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 19
2*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^
4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b
^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64
*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e
+ 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*
c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b
^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*
d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769
*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*
c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 27525
12*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*
c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*
d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2
*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400
*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^
4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^
11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960
*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3
+ 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c
^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322
176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(
4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e
^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b
^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3
*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c
^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c
^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^
8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(
-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^1
5*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a
*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14
*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c
^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e
^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^
10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 52428
80*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 1
0*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^
20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3
*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 3840
00*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6
- 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c
^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*
b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4
+ 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^
3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495
680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d
^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 1056768
0*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^
2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 262144
0*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*
e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 370933
76*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^
7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 -
32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*
b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a
*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^
4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6
+ 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 12
90240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e +
38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^
9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^
7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 1310
7200*a^13*b^3*c^9*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 -
180*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 -
6192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8
*d^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 5875
2*a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^
3*e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*
c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^
5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b
^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7
*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4
- 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 51
2*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^
4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b
^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^
7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1
024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5
*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c
- b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*
e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a
^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*
c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193
152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5
*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15
)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a
^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 20
88960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4
*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b
^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 979
20*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5
*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b
^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 -
1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 1
1*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^
8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b
^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*
c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3
*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*
b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480
*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) -
54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10
*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21
*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12
*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4
*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e
^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*
e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 104
85760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^
23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^
21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a
^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 +
45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e
^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^
15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360
*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5
*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b
^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 -
2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*
c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13
393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c
^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35
635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^1
3*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 +
55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b
^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*
e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 1146880
0*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*
b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3
*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*
e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e -
4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9
- 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5
*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^1
2*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))
^(1/2)*1i - (((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^
11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 +
524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 51
2*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*
e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 43
5200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8
- 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c
^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b
^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 -
2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d
^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^
5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 -
2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10
+ 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 14
72*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^
3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 7077
888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10)
)/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8
- 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*
c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*
b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576
*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d
^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4
*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3
*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d
^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*
d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^
5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^
9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5
+ 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a
^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^
7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + ((d + e*x)^(1/2)*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^
9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8
- 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b
^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^
9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6
*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^
6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^
5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c
^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b
^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 35
6160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7
*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b
^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418
752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2
*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^
6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c
- b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2
359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^
7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e
^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e
^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^
6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^
10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*
c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10
+ 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*
d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d
^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^
10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 +
53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2
949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^1
1*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22
*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3
*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*
c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4
*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 640
0*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6
*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c
^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688
000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*
e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^
7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8
+ 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*
b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8
- 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*
b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 -
2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^1
0*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*
e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 327680
00*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^
10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*
c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*
e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 384
00*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*
a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400
*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e +
1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*
d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a
^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9
*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2
+ 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^1
1*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20
480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5
- 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e
^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7
*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^1
1*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 86016
0*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 3
93216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^
4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^
3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a
*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12
*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11
*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c
^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8
+ 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*
b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8
+ 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4
+ 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*
c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d
^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e
^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6
+ 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^
7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*
d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 307
2*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e
^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^
11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e
^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 23439
36*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7
*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 8
82*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*
c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^
3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d
^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*
b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 21
50400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^
3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b
^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 36
12672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8
*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15
)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^
5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3
- 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 3686
40*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949
120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1
430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^
7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^
15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 104857
6*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 -
5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 537
60*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949
120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9
*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^
13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^
8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*
e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4
+ 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e
^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6
*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^1
9*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 58
6752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^
8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b
^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 153
60000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^
7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 196608
00*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d
^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 1146880
0*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d
^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a
^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^1
0*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 524
2880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b
^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^
7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5
+ 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380
*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^
15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*
c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15
*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a
^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 3
1457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c
^9*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4*
e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*c
^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 3978
*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*e
^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a*
b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a
^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d
*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 25
6*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 +
6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4
*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d
^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e
^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6
+ 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 -
92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6
*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024
*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/
2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b
^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9
- 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 30105
60*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^
5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b
^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*
b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5
*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c
^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a
^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3
- 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*
d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*
a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4
- 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2
*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(
-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d
*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4
- 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 27
90*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 1
88640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 +
15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*
e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e
^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^
5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21
*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258
048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 26
21440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^
10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*
a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13
*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3
+ 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5
- 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5
*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*
c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^
5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5
+ 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d
^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a
^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2
+ 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^
12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 +
9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10
*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 3
2768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*
c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 419
43040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*
b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4
+ 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*
a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*
d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 -
5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*
a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^2
1*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^
9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*
b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 430080
0*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^
5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*1i)/((3*
(189*b^7*c^5*e^10 + 18432*c^12*d^7*e^3 - 3456*a*b^5*c^6*e^10 - 56448*a^3*b*c^8*e^10 + 87552*a*c^11*d^5*e^5 + 1
12896*a^3*c^9*d*e^9 - 64512*b*c^11*d^6*e^4 + 810*b^6*c^6*d*e^9 + 22608*a^2*b^3*c^7*e^10 + 157824*a^2*c^10*d^3*
e^7 + 74880*b^2*c^10*d^5*e^5 - 25920*b^3*c^9*d^4*e^6 - 4536*b^4*c^8*d^3*e^7 + 468*b^5*c^7*d^2*e^8 - 218880*a*b
*c^10*d^4*e^6 - 10656*a*b^4*c^7*d*e^9 + 139968*a*b^2*c^9*d^3*e^7 + 8928*a*b^3*c^8*d^2*e^8 - 236736*a^2*b*c^9*d
^2*e^8 + 33696*a^2*b^2*c^8*d*e^9))/(32*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*c^4*d^8 +
b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*c^3*d^7*e
- 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^2*c^9*d^8
+ 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b^14*d^2*e^
6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 1344*a^2*b^10
*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*a^3*b^9*c^
4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080*a^4*b^8*c
^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 21504*a^5*b^5*
c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 46592*a^6*b^4
*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 57344*a^7*b
^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11*c*d*e^7 -
16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 960*a^2*b^9*
c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*c^7*d^7*e
+ 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3 - 15360*a
^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + (((3*(1835008*a^9*c^9*e^11 - 64*a^2*b
^14*c^2*e^11 + 1856*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6
*e^11 + 1949696*a^7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e
^5 + 4980736*a^7*c^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008
*b^12*c^6*d^6*e^5 + 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 -
81920*a^2*b^6*c^10*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5
*e^6 + 57856*a^2*b^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^
11*d^8*e^3 - 1310720*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a
^3*b^8*c^7*d^4*e^7 - 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2
621440*a^4*b^3*c^11*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8
*d^4*e^7 + 1064960*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^
5*b^3*c^10*d^5*e^6 - 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 +
131072*a^6*b^2*c^10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^
9*d^2*e^9 + 128*a*b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e
^4 + 57856*a*b^10*c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 +
1856*a*b^14*c^3*d^2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2
097152*a^5*b*c^12*d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^
10 - 9961472*a^7*b*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^
10*c^6*e^8 + b^12*c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^
13*d*e^7 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8
*d^8 - 6144*a^5*b^2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2
*c^5*e^8 + 6*a^2*b^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14
*c^2*d^6*e^2 + 1344*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c
^5*d^6*e^2 + 2240*a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c
^6*d^6*e^2 - 10080*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*
c^7*d^6*e^2 - 21504*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3
*c^7*d^5*e^3 - 46592*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b
^2*c^7*d^4*e^4 + 57344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4
*e^4 + 96*a^4*b^11*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^1
3*c^2*d^5*e^3 - 960*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^
6 - 15360*a^4*b^5*c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152
*a^7*b*c^8*d^5*e^3 - 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) - ((d + e*x
)^(1/2)*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b
^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 -
327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b
^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8
*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 688128
0*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^
5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3
*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a
^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 +
430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^
3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4
*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 5898
24*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^
4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^
6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6
- 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)
^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c
- b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13
*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^
3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10
*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*
b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3
*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c -
b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*
d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5
*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c
^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*
c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^
10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e
^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 104
85760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^1
8*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^
16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^
3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 +
78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8
*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^
16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 34406
40*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^
4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7
*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6
+ 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^
7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 -
3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^
5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 +
2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3
*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^
6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^
11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d
^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621
440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b
*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6
*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 -
268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e -
3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e
- 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6
*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a
^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10
- 65536*a^9*b*c^7*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^
5*c^5*e^11 + 81920*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*
e^6 + 524288*a^8*c^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*
c^4*d^6*e^5 - 384*b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e
^3 - 153600*a^2*b^8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4
*d^4*e^7 + 3584*a^2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*
c^9*d^8*e^3 + 573440*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^
3*b^9*c^5*d^4*e^7 - 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737
280*a^4*b^3*c^10*d^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^
7 - 71680*a^4*b^8*c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*
d^6*e^5 - 2064384*a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b
^7*c^5*d^2*e^9 + 1376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917
504*a^7*b^2*c^8*d^3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 1996
8*a*b^10*c^6*d^7*e^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b
^12*c^2*d*e^10 + 4992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6
*b*c^10*d^6*e^5 + 143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a
^8*b*c^8*d^2*e^9 + 98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^
8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e
- 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a
^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 51
2*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*
b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c
^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d
^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e -
4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 +
52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d
^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*(
(9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d
^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^
3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e
^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49
*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^1
1*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^
16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d
*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c
^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^
3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 2
1600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*
d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^
2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5
956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^1
0*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 1290240
0*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2
) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15
)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*
e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 +
1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^
8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^
4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*
(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^
(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 -
40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d
^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10
+ 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10
+ 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 8601
60*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*
a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^1
3*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8
*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^
8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^
2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4
*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 15
05280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^
4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^
11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 3
84000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*
d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 150528
0*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^
7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*
a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^
7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a
^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7
*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 98304
00*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^
11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 +
5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*
b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9
*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 36
00*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^
4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6
*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800
*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 -
20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c
^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(14112*a^4*c
^7*e^10 + 9*b^8*c^3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^
3 + 36*b^7*c^4*d*e^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d
^2*e^8 + 27360*b^2*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*
c^5*d^2*e^8 + 28512*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9
+ 56016*a*b^2*c^8*d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*
a^2*b^3*c^6*d*e^9))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^
6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^
2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5
*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 19
2*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*
b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*
c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*
d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*
a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 38
4*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^
5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524
288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9
- 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^
4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^
9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^
2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*
d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c
^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*
d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^1
2*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 108864
0*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7
+ 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c
^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a
^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6
- 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^
4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18
*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e
+ 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8
*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*
e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*
e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e
^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8
*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2)
- 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^1
0 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a
^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*
d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10
- 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 -
7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 196
6080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*
b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a
^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d
^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5
*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^1
4*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*
a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3
+ 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3
*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a
^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7
- 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^1
0*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 4
99200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c
^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 231
1680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c
^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 73113
60*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c
^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 -
15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11
*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*
e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b
^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d
*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 17
0*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4
*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*
a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 1310
7200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e
^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b
*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) + (((3*(1835008*a^9*c^9*e^11 - 64*a^2*b^14*c^2*e^11 + 185
6*a^3*b^12*c^3*e^11 - 23552*a^4*b^10*c^4*e^11 + 168960*a^5*b^8*c^5*e^11 - 737280*a^6*b^6*c^6*e^11 + 1949696*a^
7*b^4*c^7*e^11 - 2883584*a^8*b^2*c^8*e^11 + 524288*a^5*c^13*d^8*e^3 + 2359296*a^6*c^12*d^6*e^5 + 4980736*a^7*c
^11*d^4*e^7 + 4980736*a^8*c^10*d^2*e^9 - 512*b^10*c^8*d^8*e^3 + 2048*b^11*c^7*d^7*e^4 - 3008*b^12*c^6*d^6*e^5
+ 1856*b^13*c^5*d^5*e^6 - 384*b^14*c^4*d^4*e^7 + 64*b^15*c^3*d^3*e^8 - 64*b^16*c^2*d^2*e^9 - 81920*a^2*b^6*c^1
0*d^8*e^3 + 327680*a^2*b^7*c^9*d^7*e^4 - 435200*a^2*b^8*c^8*d^6*e^5 + 158720*a^2*b^9*c^7*d^5*e^6 + 57856*a^2*b
^10*c^6*d^4*e^7 + 2048*a^2*b^11*c^5*d^3*e^8 - 25408*a^2*b^12*c^4*d^2*e^9 + 327680*a^3*b^4*c^11*d^8*e^3 - 13107
20*a^3*b^5*c^10*d^7*e^4 + 1556480*a^3*b^6*c^9*d^6*e^5 - 81920*a^3*b^7*c^8*d^5*e^6 - 650240*a^3*b^8*c^7*d^4*e^7
- 92160*a^3*b^9*c^6*d^3*e^8 + 201216*a^3*b^10*c^5*d^2*e^9 - 655360*a^4*b^2*c^12*d^8*e^3 + 2621440*a^4*b^3*c^1
1*d^7*e^4 - 2375680*a^4*b^4*c^10*d^6*e^5 - 2048000*a^4*b^5*c^9*d^5*e^6 + 2703360*a^4*b^6*c^8*d^4*e^7 + 1064960
*a^4*b^7*c^7*d^3*e^8 - 936960*a^4*b^8*c^6*d^2*e^9 + 131072*a^5*b^2*c^11*d^6*e^5 + 6946816*a^5*b^3*c^10*d^5*e^6
- 4440064*a^5*b^4*c^9*d^4*e^7 - 5144576*a^5*b^5*c^8*d^3*e^8 + 2359296*a^5*b^6*c^7*d^2*e^9 + 131072*a^6*b^2*c^
10*d^4*e^7 + 11534336*a^6*b^3*c^9*d^3*e^8 - 2146304*a^6*b^4*c^8*d^2*e^9 - 2490368*a^7*b^2*c^9*d^2*e^9 + 128*a*
b^15*c^2*d*e^10 - 4980736*a^8*b*c^9*d*e^10 + 10240*a*b^8*c^9*d^8*e^3 - 40960*a*b^9*c^8*d^7*e^4 + 57856*a*b^10*
c^7*d^6*e^5 - 30208*a*b^11*c^6*d^5*e^6 + 1472*a*b^12*c^5*d^4*e^7 - 384*a*b^13*c^4*d^3*e^8 + 1856*a*b^14*c^3*d^
2*e^9 - 3776*a^2*b^13*c^3*d*e^10 + 49664*a^3*b^11*c^4*d*e^10 - 373760*a^4*b^9*c^5*d*e^10 - 2097152*a^5*b*c^12*
d^7*e^4 + 1720320*a^5*b^7*c^6*d*e^10 - 7077888*a^6*b*c^11*d^5*e^6 - 4800512*a^6*b^5*c^7*d*e^10 - 9961472*a^7*b
*c^10*d^3*e^8 + 7471104*a^7*b^3*c^8*d*e^10))/(64*(a^4*b^12*e^8 + 4096*a^6*c^10*d^8 + 4096*a^10*c^6*e^8 + b^12*
c^4*d^8 + b^16*d^4*e^4 - 24*a*b^10*c^5*d^8 - 24*a^5*b^10*c*e^8 - 4*a*b^15*d^3*e^5 - 4*a^3*b^13*d*e^7 - 4*b^13*
c^3*d^7*e - 4*b^15*c*d^5*e^3 + 240*a^2*b^8*c^6*d^8 - 1280*a^3*b^6*c^7*d^8 + 3840*a^4*b^4*c^8*d^8 - 6144*a^5*b^
2*c^9*d^8 + 240*a^6*b^8*c^2*e^8 - 1280*a^7*b^6*c^3*e^8 + 3840*a^8*b^4*c^4*e^8 - 6144*a^9*b^2*c^5*e^8 + 6*a^2*b
^14*d^2*e^6 + 16384*a^7*c^9*d^6*e^2 + 24576*a^8*c^8*d^4*e^4 + 16384*a^9*c^7*d^2*e^6 + 6*b^14*c^2*d^6*e^2 + 134
4*a^2*b^10*c^4*d^6*e^2 - 672*a^2*b^11*c^3*d^5*e^3 - 42*a^2*b^12*c^2*d^4*e^4 - 6720*a^3*b^8*c^5*d^6*e^2 + 2240*
a^3*b^9*c^4*d^5*e^3 + 1456*a^3*b^10*c^3*d^4*e^4 - 672*a^3*b^11*c^2*d^3*e^5 + 17920*a^4*b^6*c^6*d^6*e^2 - 10080
*a^4*b^8*c^4*d^4*e^4 + 2240*a^4*b^9*c^3*d^3*e^5 + 1344*a^4*b^10*c^2*d^2*e^6 - 21504*a^5*b^4*c^7*d^6*e^2 - 2150
4*a^5*b^5*c^6*d^5*e^3 + 32256*a^5*b^6*c^5*d^4*e^4 - 6720*a^5*b^8*c^3*d^2*e^6 + 57344*a^6*b^3*c^7*d^5*e^3 - 465
92*a^6*b^4*c^6*d^4*e^4 - 21504*a^6*b^5*c^5*d^3*e^5 + 17920*a^6*b^6*c^4*d^2*e^6 + 12288*a^7*b^2*c^7*d^4*e^4 + 5
7344*a^7*b^3*c^6*d^3*e^5 - 21504*a^7*b^4*c^5*d^2*e^6 + 96*a*b^11*c^4*d^7*e - 12*a*b^14*c*d^4*e^4 + 96*a^4*b^11
*c*d*e^7 - 16384*a^6*b*c^9*d^7*e - 16384*a^9*b*c^6*d*e^7 - 140*a*b^12*c^3*d^6*e^2 + 84*a*b^13*c^2*d^5*e^3 - 96
0*a^2*b^9*c^5*d^7*e + 84*a^2*b^13*c*d^3*e^5 + 5120*a^3*b^7*c^6*d^7*e - 140*a^3*b^12*c*d^2*e^6 - 15360*a^4*b^5*
c^7*d^7*e + 24576*a^5*b^3*c^8*d^7*e - 960*a^5*b^9*c^2*d*e^7 + 5120*a^6*b^7*c^3*d*e^7 - 49152*a^7*b*c^8*d^5*e^3
- 15360*a^7*b^5*c^4*d*e^7 - 49152*a^8*b*c^7*d^3*e^5 + 24576*a^8*b^3*c^5*d*e^7)) + ((d + e*x)^(1/2)*((9*(512*b
^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720
320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^1
2*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 3168
64*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*
e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6
+ 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^
3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 57
6000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^
5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9
*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*
b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 +
241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^
7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^
5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5
+ 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3
*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080
*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) -
76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 126
0*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*
a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 71539
2*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 6
45120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c
- b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(
128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^1
8*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 +
720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*
a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^
7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b
^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*
d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^
4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 64
00*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 6
2400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6
+ 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4
*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5
*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 6
2400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^
7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6
*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 +
13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^1
3*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 3
5635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*
c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 5
5705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^
7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43
909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b
^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^
5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a
^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*
d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242
880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^
17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^
8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2
*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13
*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*
a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9
- 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2)*(131072*a^9*c^8*d*e^10 - 65536*a^9*b*c^7
*e^11 + 64*a^4*b^11*c^2*e^11 - 1280*a^5*b^9*c^3*e^11 + 10240*a^6*b^7*c^4*e^11 - 40960*a^7*b^5*c^5*e^11 + 81920
*a^8*b^3*c^6*e^11 + 131072*a^5*c^12*d^9*e^2 + 524288*a^6*c^11*d^7*e^4 + 786432*a^7*c^10*d^5*e^6 + 524288*a^8*c
^9*d^3*e^8 - 128*b^10*c^7*d^9*e^2 + 576*b^11*c^6*d^8*e^3 - 1024*b^12*c^5*d^7*e^4 + 896*b^13*c^4*d^6*e^5 - 384*
b^14*c^3*d^5*e^6 + 64*b^15*c^2*d^4*e^7 - 20480*a^2*b^6*c^9*d^9*e^2 + 92160*a^2*b^7*c^8*d^8*e^3 - 153600*a^2*b^
8*c^7*d^7*e^4 + 107520*a^2*b^9*c^6*d^6*e^5 - 16128*a^2*b^10*c^5*d^5*e^6 - 13440*a^2*b^11*c^4*d^4*e^7 + 3584*a^
2*b^12*c^3*d^3*e^8 + 384*a^2*b^13*c^2*d^2*e^9 + 81920*a^3*b^4*c^10*d^9*e^2 - 368640*a^3*b^5*c^9*d^8*e^3 + 5734
40*a^3*b^6*c^8*d^7*e^4 - 286720*a^3*b^7*c^7*d^6*e^5 - 107520*a^3*b^8*c^6*d^5*e^6 + 125440*a^3*b^9*c^5*d^4*e^7
- 10752*a^3*b^10*c^4*d^3*e^8 - 6912*a^3*b^11*c^3*d^2*e^9 - 163840*a^4*b^2*c^11*d^9*e^2 + 737280*a^4*b^3*c^10*d
^8*e^3 - 983040*a^4*b^4*c^9*d^7*e^4 + 860160*a^4*b^6*c^7*d^5*e^6 - 430080*a^4*b^7*c^6*d^4*e^7 - 71680*a^4*b^8*
c^5*d^3*e^8 + 46080*a^4*b^9*c^4*d^2*e^9 + 393216*a^5*b^2*c^10*d^7*e^4 + 1376256*a^5*b^3*c^9*d^6*e^5 - 2064384*
a^5*b^4*c^8*d^5*e^6 + 344064*a^5*b^5*c^7*d^4*e^7 + 573440*a^5*b^6*c^6*d^3*e^8 - 122880*a^5*b^7*c^5*d^2*e^9 + 1
376256*a^6*b^2*c^9*d^5*e^6 + 1146880*a^6*b^3*c^8*d^4*e^7 - 1376256*a^6*b^4*c^7*d^3*e^8 + 917504*a^7*b^2*c^8*d^
3*e^8 + 589824*a^7*b^3*c^7*d^2*e^9 + 2560*a*b^8*c^8*d^9*e^2 - 11520*a*b^9*c^7*d^8*e^3 + 19968*a*b^10*c^6*d^7*e
^4 - 16128*a*b^11*c^5*d^6*e^5 + 5376*a*b^12*c^4*d^5*e^6 - 256*a*b^14*c^2*d^3*e^8 - 256*a^3*b^12*c^2*d*e^10 + 4
992*a^4*b^10*c^3*d*e^10 - 589824*a^5*b*c^11*d^8*e^3 - 38400*a^5*b^8*c^4*d*e^10 - 1835008*a^6*b*c^10*d^6*e^5 +
143360*a^6*b^6*c^5*d*e^10 - 1966080*a^7*b*c^9*d^4*e^7 - 245760*a^7*b^4*c^6*d*e^10 - 786432*a^8*b*c^8*d^2*e^9 +
98304*a^8*b^2*c^7*d*e^10))/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 -
16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3
+ 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 +
1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*
e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 +
800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*
a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*
b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4
- 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*
e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*
b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d
^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b
*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 6
55360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^
9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*
a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b
^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 1
8*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*
b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200
*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3
+ 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*
d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a
^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8
945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8
*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 903168
0*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*
e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^
9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*
b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*
c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c
^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8
*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7
*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15
)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*
b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^1
0 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b
^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c
^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^
2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^
10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 +
10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5
242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^
19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*
b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200
*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5
- 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7
*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*
b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2
903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4
*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920
*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3
*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a
^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e
^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a
^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7
+ 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^
10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^
3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909
120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c
^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 +
200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*
b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^
9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e -
395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 +
9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^
9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^
13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 2097152
0*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(14112*a^4*c^7*e^10 + 9*b^8*c^
3*e^10 + 4608*c^11*d^8*e^2 - 180*a*b^6*c^4*e^10 + 19584*a*c^10*d^6*e^4 - 18432*b*c^10*d^7*e^3 + 36*b^7*c^4*d*e
^9 + 1530*a^2*b^4*c^5*e^10 - 6192*a^3*b^2*c^6*e^10 + 34848*a^2*c^9*d^4*e^6 + 31680*a^3*c^8*d^2*e^8 + 27360*b^2
*c^9*d^6*e^4 - 17568*b^3*c^8*d^5*e^5 + 3978*b^4*c^7*d^4*e^6 - 180*b^5*c^6*d^3*e^7 + 198*b^6*c^5*d^2*e^8 + 2851
2*a^2*b^2*c^7*d^2*e^8 - 58752*a*b*c^9*d^5*e^5 - 900*a*b^5*c^5*d*e^9 - 31680*a^3*b*c^7*d*e^9 + 56016*a*b^2*c^8*
d^4*e^6 - 14112*a*b^3*c^7*d^3*e^7 - 1836*a*b^4*c^6*d^2*e^8 - 69696*a^2*b*c^8*d^3*e^7 + 6336*a^2*b^3*c^6*d*e^9)
)/(8*(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5
*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 25
6*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 153
6*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*
e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 -
192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*
a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5
*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e +
64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*
e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^
5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 -
b^19*e^9 + b^4*e^9*(-(4*a*c - b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^1
0*d*e^8 - 2304*b^11*c^8*d^8*e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 7
69*a^2*b^15*c^2*e^9 + 8620*a^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^
7*c^6*e^9 + 2343936*a^7*b^5*c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 275
2512*a^6*c^13*d^7*e^2 - 6193152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^1
3*c^6*d^6*e^3 + 882*b^14*c^5*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^
4*d^4*e^5*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a
^2*b^9*c^8*d^6*e^3 - 74592*a^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 54
00*a^2*b^13*c^4*d^2*e^7 - 2088960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*
e^4 - 356160*a^3*b^9*c^7*d^4*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*
c^11*d^7*e^2 + 2150400*a^4*b^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 18009
60*a^4*b^8*c^7*d^3*e^6 + 97920*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^
3 + 9418752*a^5*b^4*c^10*d^5*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7
*c^7*d^2*e^7 - 3612672*a^6*b^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 63
22176*a^6*b^5*c^8*d^2*e^7 - 1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(
-(4*a*c - b^2)^15)^(1/2) - 11*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d
*e^8 + 2359296*a^5*b*c^13*d^8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a
*b^11*c^7*d^6*e^3 - 6552*a*b^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c
^3*d^2*e^7 - 368640*a^2*b^7*c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12
*c^4*d*e^8 - 2949120*a^4*b^3*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b
*c^12*d^6*e^3 - 1430016*a^6*b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*
a^8*b*c^10*d^2*e^7 + 2580480*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6
*(-(4*a*c - b^2)^15)^(1/2) - 54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c
^15*d^10 + 1048576*a^15*c^10*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5
*a*b^24*d^4*e^6 - 5*a^4*b^21*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^
14*c^8*d^10 + 53760*a^4*b^12*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6
*c^12*d^10 + 2949120*a^8*b^4*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3
*e^10 + 53760*a^9*b^12*c^4*e^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*
e^10 + 2949120*a^13*b^4*c^8*e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 524
2880*a^11*c^14*d^8*e^2 + 10485760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 +
10*b^22*c^3*d^8*e^2 - 10*b^23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*
b^20*c^3*d^6*e^4 + 50*a^2*b^21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a
^3*b^18*c^4*d^6*e^4 - 5520*a^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 38
4000*a^4*b^15*c^6*d^7*e^3 + 45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e
^6 - 6400*a^4*b^19*c^2*d^3*e^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14
*c^6*d^6*e^4 - 586752*a^5*b^15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^
5*b^18*c^2*d^2*e^8 + 7311360*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^
4 + 2688000*a^6*b^13*c^6*d^5*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*
c^3*d^2*e^8 - 15360000*a^7*b^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 74
95680*a^7*b^11*c^7*d^5*e^5 - 2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4
*d^2*e^8 + 19660800*a^8*b^6*c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567
680*a^8*b^9*c^8*d^5*e^5 + 13393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*
d^2*e^8 - 11468800*a^9*b^4*c^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621
440*a^9*b^7*c^9*d^5*e^5 - 35635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^
2*e^8 - 2621440*a^10*b^2*c^13*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 3709
3376*a^10*b^5*c^10*d^5*e^5 + 55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*
c^7*d^2*e^8 + 5242880*a^11*b^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6
- 32768000*a^11*b^5*c^9*d^3*e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^1
2*b^3*c^10*d^3*e^7 - 11468800*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20
*a*b^23*c*d^5*e^5 + 200*a^5*b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*
c^4*d^8*e^2 + 380*a*b^21*c^3*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e
^6 + 38400*a^3*b^15*c^7*d^9*e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 +
1290240*a^5*b^11*c^9*d^9*e - 4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e
+ 38400*a^7*b^15*c^3*d*e^9 - 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*
d^9*e + 1290240*a^9*b^11*c^5*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*
b^7*c^7*d*e^9 - 31457280*a^12*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13
107200*a^13*b^3*c^9*d*e^9)))^(1/2)))*((9*(512*b^10*c^9*d^9 - 524288*a^5*c^14*d^9 - b^19*e^9 + b^4*e^9*(-(4*a*c
- b^2)^15)^(1/2) - 10240*a*b^8*c^10*d^9 + 1720320*a^9*b*c^9*e^9 - 3440640*a^9*c^10*d*e^8 - 2304*b^11*c^8*d^8*
e + 81920*a^2*b^6*c^11*d^9 - 327680*a^3*b^4*c^12*d^9 + 655360*a^4*b^2*c^13*d^9 - 769*a^2*b^15*c^2*e^9 + 8620*a
^3*b^13*c^3*e^9 - 63440*a^4*b^11*c^4*e^9 + 316864*a^5*b^9*c^5*e^9 - 1069824*a^6*b^7*c^6*e^9 + 2343936*a^7*b^5*
c^7*e^9 - 3010560*a^8*b^3*c^8*e^9 + 49*a^2*c^2*e^9*(-(4*a*c - b^2)^15)^(1/2) - 2752512*a^6*c^13*d^7*e^2 - 6193
152*a^7*c^12*d^5*e^4 - 6881280*a^8*c^11*d^3*e^6 + 3936*b^12*c^7*d^7*e^2 - 3024*b^13*c^6*d^6*e^3 + 882*b^14*c^5
*d^5*e^4 - 21*b^15*c^4*d^4*e^5 + 42*b^16*c^3*d^3*e^6 - 18*b^17*c^2*d^2*e^7 + 21*c^4*d^4*e^5*(-(4*a*c - b^2)^15
)^(1/2) + 41*a*b^17*c*e^9 - 3*b^18*c*d*e^8 + 576000*a^2*b^8*c^9*d^7*e^2 - 295680*a^2*b^9*c^8*d^6*e^3 - 74592*a
^2*b^10*c^7*d^5*e^4 + 65520*a^2*b^11*c^6*d^4*e^5 + 25200*a^2*b^12*c^5*d^3*e^6 - 5400*a^2*b^13*c^4*d^2*e^7 - 20
88960*a^3*b^6*c^10*d^7*e^2 + 430080*a^3*b^7*c^9*d^6*e^3 + 1088640*a^3*b^8*c^8*d^5*e^4 - 356160*a^3*b^9*c^7*d^4
*e^5 - 288960*a^3*b^10*c^6*d^3*e^6 + 21600*a^3*b^11*c^5*d^2*e^7 + 3317760*a^4*b^4*c^11*d^7*e^2 + 2150400*a^4*b
^5*c^10*d^6*e^3 - 4999680*a^4*b^6*c^9*d^5*e^4 + 241920*a^4*b^7*c^8*d^4*e^5 + 1800960*a^4*b^8*c^7*d^3*e^6 + 979
20*a^4*b^9*c^6*d^2*e^7 - 589824*a^5*b^2*c^12*d^7*e^2 - 8945664*a^5*b^3*c^11*d^6*e^3 + 9418752*a^5*b^4*c^10*d^5
*e^4 + 4322304*a^5*b^5*c^9*d^4*e^5 - 5956608*a^5*b^6*c^8*d^3*e^6 - 1433088*a^5*b^7*c^7*d^2*e^7 - 3612672*a^6*b
^2*c^11*d^5*e^4 - 15052800*a^6*b^3*c^10*d^4*e^5 + 9031680*a^6*b^4*c^9*d^3*e^6 + 6322176*a^6*b^5*c^8*d^2*e^7 -
1720320*a^7*b^2*c^10*d^3*e^6 - 12902400*a^7*b^3*c^9*d^2*e^7 + 18*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 1
1*a*b^2*c*e^9*(-(4*a*c - b^2)^15)^(1/2) + 46080*a*b^9*c^9*d^8*e + 144*a*b^16*c^2*d*e^8 + 2359296*a^5*b*c^13*d^
8*e + 3*b^3*c*d*e^8*(-(4*a*c - b^2)^15)^(1/2) - 76032*a*b^10*c^8*d^7*e^2 + 51072*a*b^11*c^7*d^6*e^3 - 6552*a*b
^12*c^6*d^5*e^4 - 3780*a*b^13*c^5*d^4*e^5 - 1260*a*b^14*c^4*d^3*e^6 + 486*a*b^15*c^3*d^2*e^7 - 368640*a^2*b^7*
c^10*d^8*e - 2790*a^2*b^14*c^3*d*e^8 + 1474560*a^3*b^5*c^11*d^8*e + 29640*a^3*b^12*c^4*d*e^8 - 2949120*a^4*b^3
*c^12*d^8*e - 188640*a^4*b^10*c^5*d*e^8 + 715392*a^5*b^8*c^6*d*e^8 + 9633792*a^6*b*c^12*d^6*e^3 - 1430016*a^6*
b^6*c^7*d*e^8 + 15482880*a^7*b*c^11*d^4*e^5 + 645120*a^7*b^4*c^8*d*e^8 + 10321920*a^8*b*c^10*d^2*e^7 + 2580480
*a^8*b^2*c^9*d*e^8 + 54*a*c^3*d^2*e^7*(-(4*a*c - b^2)^15)^(1/2) - 42*b*c^3*d^3*e^6*(-(4*a*c - b^2)^15)^(1/2) -
54*a*b*c^2*d*e^8*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^5*b^20*e^10 + 1048576*a^10*c^15*d^10 + 1048576*a^15*c^10
*e^10 + b^20*c^5*d^10 - b^25*d^5*e^5 - 40*a*b^18*c^6*d^10 - 40*a^6*b^18*c*e^10 + 5*a*b^24*d^4*e^6 - 5*a^4*b^21
*d*e^9 - 5*b^21*c^4*d^9*e + 5*b^24*c*d^6*e^4 + 720*a^2*b^16*c^7*d^10 - 7680*a^3*b^14*c^8*d^10 + 53760*a^4*b^12
*c^9*d^10 - 258048*a^5*b^10*c^10*d^10 + 860160*a^6*b^8*c^11*d^10 - 1966080*a^7*b^6*c^12*d^10 + 2949120*a^8*b^4
*c^13*d^10 - 2621440*a^9*b^2*c^14*d^10 + 720*a^7*b^16*c^2*e^10 - 7680*a^8*b^14*c^3*e^10 + 53760*a^9*b^12*c^4*e
^10 - 258048*a^10*b^10*c^5*e^10 + 860160*a^11*b^8*c^6*e^10 - 1966080*a^12*b^6*c^7*e^10 + 2949120*a^13*b^4*c^8*
e^10 - 2621440*a^14*b^2*c^9*e^10 - 10*a^2*b^23*d^3*e^7 + 10*a^3*b^22*d^2*e^8 + 5242880*a^11*c^14*d^8*e^2 + 104
85760*a^12*c^13*d^6*e^4 + 10485760*a^13*c^12*d^4*e^6 + 5242880*a^14*c^11*d^2*e^8 + 10*b^22*c^3*d^8*e^2 - 10*b^
23*c^2*d^7*e^3 + 7000*a^2*b^18*c^5*d^8*e^2 - 6400*a^2*b^19*c^4*d^7*e^3 + 2410*a^2*b^20*c^3*d^6*e^4 + 50*a^2*b^
21*c^2*d^5*e^5 - 73200*a^3*b^16*c^6*d^8*e^2 + 62400*a^3*b^17*c^5*d^7*e^3 - 17200*a^3*b^18*c^4*d^6*e^4 - 5520*a
^3*b^19*c^3*d^5*e^5 + 2410*a^3*b^20*c^2*d^4*e^6 + 499200*a^4*b^14*c^7*d^8*e^2 - 384000*a^4*b^15*c^6*d^7*e^3 +
45600*a^4*b^16*c^5*d^6*e^4 + 78240*a^4*b^17*c^4*d^5*e^5 - 17200*a^4*b^18*c^3*d^4*e^6 - 6400*a^4*b^19*c^2*d^3*e
^7 - 2311680*a^5*b^12*c^8*d^8*e^2 + 1505280*a^5*b^13*c^7*d^7*e^3 + 245760*a^5*b^14*c^6*d^6*e^4 - 586752*a^5*b^
15*c^5*d^5*e^5 + 45600*a^5*b^16*c^4*d^4*e^6 + 62400*a^5*b^17*c^3*d^3*e^7 + 7000*a^5*b^18*c^2*d^2*e^8 + 7311360
*a^6*b^10*c^9*d^8*e^2 - 3440640*a^6*b^11*c^8*d^7*e^3 - 2903040*a^6*b^12*c^7*d^6*e^4 + 2688000*a^6*b^13*c^6*d^5
*e^5 + 245760*a^6*b^14*c^5*d^4*e^6 - 384000*a^6*b^15*c^4*d^3*e^7 - 73200*a^6*b^16*c^3*d^2*e^8 - 15360000*a^7*b
^8*c^10*d^8*e^2 + 2457600*a^7*b^9*c^9*d^7*e^3 + 13393920*a^7*b^10*c^8*d^6*e^4 - 7495680*a^7*b^11*c^7*d^5*e^5 -
2903040*a^7*b^12*c^6*d^4*e^6 + 1505280*a^7*b^13*c^5*d^3*e^7 + 499200*a^7*b^14*c^4*d^2*e^8 + 19660800*a^8*b^6*
c^11*d^8*e^2 + 9830400*a^8*b^7*c^10*d^7*e^3 - 35635200*a^8*b^8*c^9*d^6*e^4 + 10567680*a^8*b^9*c^8*d^5*e^5 + 13
393920*a^8*b^10*c^7*d^4*e^6 - 3440640*a^8*b^11*c^6*d^3*e^7 - 2311680*a^8*b^12*c^5*d^2*e^8 - 11468800*a^9*b^4*c
^12*d^8*e^2 - 32768000*a^9*b^5*c^11*d^7*e^3 + 55705600*a^9*b^6*c^10*d^6*e^4 + 2621440*a^9*b^7*c^9*d^5*e^5 - 35
635200*a^9*b^8*c^8*d^4*e^6 + 2457600*a^9*b^9*c^7*d^3*e^7 + 7311360*a^9*b^10*c^6*d^2*e^8 - 2621440*a^10*b^2*c^1
3*d^8*e^2 + 41943040*a^10*b^3*c^12*d^7*e^3 - 43909120*a^10*b^4*c^11*d^6*e^4 - 37093376*a^10*b^5*c^10*d^5*e^5 +
55705600*a^10*b^6*c^9*d^4*e^6 + 9830400*a^10*b^7*c^8*d^3*e^7 - 15360000*a^10*b^8*c^7*d^2*e^8 + 5242880*a^11*b
^2*c^12*d^6*e^4 + 57671680*a^11*b^3*c^11*d^5*e^5 - 43909120*a^11*b^4*c^10*d^4*e^6 - 32768000*a^11*b^5*c^9*d^3*
e^7 + 19660800*a^11*b^6*c^8*d^2*e^8 + 5242880*a^12*b^2*c^11*d^4*e^6 + 41943040*a^12*b^3*c^10*d^3*e^7 - 1146880
0*a^12*b^4*c^9*d^2*e^8 - 2621440*a^13*b^2*c^10*d^2*e^8 + 200*a*b^19*c^5*d^9*e + 20*a*b^23*c*d^5*e^5 + 200*a^5*
b^19*c*d*e^9 - 5242880*a^10*b*c^14*d^9*e - 5242880*a^14*b*c^10*d*e^9 - 395*a*b^20*c^4*d^8*e^2 + 380*a*b^21*c^3
*d^7*e^3 - 170*a*b^22*c^2*d^6*e^4 - 3600*a^2*b^17*c^6*d^9*e - 170*a^2*b^22*c*d^4*e^6 + 38400*a^3*b^15*c^7*d^9*
e + 380*a^3*b^21*c*d^3*e^7 - 268800*a^4*b^13*c^8*d^9*e - 395*a^4*b^20*c*d^2*e^8 + 1290240*a^5*b^11*c^9*d^9*e -
4300800*a^6*b^9*c^10*d^9*e - 3600*a^6*b^17*c^2*d*e^9 + 9830400*a^7*b^7*c^11*d^9*e + 38400*a^7*b^15*c^3*d*e^9
- 14745600*a^8*b^5*c^12*d^9*e - 268800*a^8*b^13*c^4*d*e^9 + 13107200*a^9*b^3*c^13*d^9*e + 1290240*a^9*b^11*c^5
*d*e^9 - 4300800*a^10*b^9*c^6*d*e^9 - 20971520*a^11*b*c^13*d^7*e^3 + 9830400*a^11*b^7*c^7*d*e^9 - 31457280*a^1
2*b*c^12*d^5*e^5 - 14745600*a^12*b^5*c^8*d*e^9 - 20971520*a^13*b*c^11*d^3*e^7 + 13107200*a^13*b^3*c^9*d*e^9)))
^(1/2)*2i

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

[Out]

Timed out

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