3.95 \(\int \frac {\sqrt {c+d \tan (e+f x)} (A+B \tan (e+f x)+C \tan ^2(e+f x))}{(a+b \tan (e+f x))^2} \, dx\)

Optimal. Leaf size=317 \[ -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b f \left (a^2+b^2\right ) (a+b \tan (e+f x))}-\frac {\left (a^4 C d+a^3 b B d-a^2 b^2 (3 A d+2 B c-5 C d)+a b^3 (4 A c-3 B d-4 c C)+b^4 (A d+2 B c)\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{b^{3/2} f \left (a^2+b^2\right )^2 \sqrt {b c-a d}}-\frac {\sqrt {c-i d} (i A+B-i C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (a-i b)^2}-\frac {\sqrt {c+i d} (B-i (A-C)) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (a+i b)^2} \]

[Out]

-(I*A+B-I*C)*arctanh((c+d*tan(f*x+e))^(1/2)/(c-I*d)^(1/2))*(c-I*d)^(1/2)/(a-I*b)^2/f-(B-I*(A-C))*arctanh((c+d*
tan(f*x+e))^(1/2)/(c+I*d)^(1/2))*(c+I*d)^(1/2)/(a+I*b)^2/f-(a^3*b*B*d+a^4*C*d+b^4*(A*d+2*B*c)+a*b^3*(4*A*c-3*B
*d-4*C*c)-a^2*b^2*(3*A*d+2*B*c-5*C*d))*arctanh(b^(1/2)*(c+d*tan(f*x+e))^(1/2)/(-a*d+b*c)^(1/2))/b^(3/2)/(a^2+b
^2)^2/f/(-a*d+b*c)^(1/2)-(A*b^2-a*(B*b-C*a))*(c+d*tan(f*x+e))^(1/2)/b/(a^2+b^2)/f/(a+b*tan(f*x+e))

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Rubi [A]  time = 1.44, antiderivative size = 317, normalized size of antiderivative = 1.00, number of steps used = 12, number of rules used = 7, integrand size = 47, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.149, Rules used = {3645, 3653, 3539, 3537, 63, 208, 3634} \[ -\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b f \left (a^2+b^2\right ) (a+b \tan (e+f x))}-\frac {\left (-a^2 b^2 (3 A d+2 B c-5 C d)+a^3 b B d+a^4 C d+a b^3 (4 A c-3 B d-4 c C)+b^4 (A d+2 B c)\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{b^{3/2} f \left (a^2+b^2\right )^2 \sqrt {b c-a d}}-\frac {\sqrt {c-i d} (i A+B-i C) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (a-i b)^2}-\frac {\sqrt {c+i d} (B-i (A-C)) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (a+i b)^2} \]

Antiderivative was successfully verified.

[In]

Int[(Sqrt[c + d*Tan[e + f*x]]*(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2))/(a + b*Tan[e + f*x])^2,x]

[Out]

-(((I*A + B - I*C)*Sqrt[c - I*d]*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((a - I*b)^2*f)) - ((B - I*(
A - C))*Sqrt[c + I*d]*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/((a + I*b)^2*f) - ((a^3*b*B*d + a^4*C*d
+ b^4*(2*B*c + A*d) + a*b^3*(4*A*c - 4*c*C - 3*B*d) - a^2*b^2*(2*B*c + 3*A*d - 5*C*d))*ArcTanh[(Sqrt[b]*Sqrt[
c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/(b^(3/2)*(a^2 + b^2)^2*Sqrt[b*c - a*d]*f) - ((A*b^2 - a*(b*B - a*C))*Sq
rt[c + d*Tan[e + f*x]])/(b*(a^2 + b^2)*f*(a + b*Tan[e + f*x]))

Rule 63

Int[((a_.) + (b_.)*(x_))^(m_)*((c_.) + (d_.)*(x_))^(n_), x_Symbol] :> With[{p = Denominator[m]}, Dist[p/b, Sub
st[Int[x^(p*(m + 1) - 1)*(c - (a*d)/b + (d*x^p)/b)^n, x], x, (a + b*x)^(1/p)], x]] /; FreeQ[{a, b, c, d}, x] &
& NeQ[b*c - a*d, 0] && LtQ[-1, m, 0] && LeQ[-1, n, 0] && LeQ[Denominator[n], Denominator[m]] && IntLinearQ[a,
b, c, d, m, n, x]

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 3537

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

Rule 3539

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[(c
+ I*d)/2, Int[(a + b*Tan[e + f*x])^m*(1 - I*Tan[e + f*x]), x], x] + Dist[(c - I*d)/2, Int[(a + b*Tan[e + f*x]
)^m*(1 + I*Tan[e + f*x]), x], x] /; FreeQ[{a, b, c, d, e, f, m}, x] && NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0]
&& NeQ[c^2 + d^2, 0] &&  !IntegerQ[m]

Rule 3634

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_.)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_.)*((A_) + (C_.)*
tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Dist[A/f, Subst[Int[(a + b*x)^m*(c + d*x)^n, x], x, Tan[e + f*x]], x]
/; FreeQ[{a, b, c, d, e, f, A, C, m, n}, x] && EqQ[A, C]

Rule 3645

Int[((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (B_.)*t
an[(e_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Simp[((A*d^2 + c*(c*C - B*d))*(a + b*T
an[e + f*x])^m*(c + d*Tan[e + f*x])^(n + 1))/(d*f*(n + 1)*(c^2 + d^2)), x] - Dist[1/(d*(n + 1)*(c^2 + d^2)), I
nt[(a + b*Tan[e + f*x])^(m - 1)*(c + d*Tan[e + f*x])^(n + 1)*Simp[A*d*(b*d*m - a*c*(n + 1)) + (c*C - B*d)*(b*c
*m + a*d*(n + 1)) - d*(n + 1)*((A - C)*(b*c - a*d) + B*(a*c + b*d))*Tan[e + f*x] - b*(d*(B*c - A*d)*(m + n + 1
) - C*(c^2*m - d^2*(n + 1)))*Tan[e + f*x]^2, x], x], x] /; FreeQ[{a, b, c, d, e, f, A, B, C}, x] && NeQ[b*c -
a*d, 0] && NeQ[a^2 + b^2, 0] && NeQ[c^2 + d^2, 0] && GtQ[m, 0] && LtQ[n, -1]

Rule 3653

Int[(((c_.) + (d_.)*tan[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (B_.)*tan[(e_.) + (f_.)*(x_)] + (C_.)*tan[(e_.) + (
f_.)*(x_)]^2))/((a_.) + (b_.)*tan[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[1/(a^2 + b^2), Int[(c + d*Tan[e + f*
x])^n*Simp[b*B + a*(A - C) + (a*B - b*(A - C))*Tan[e + f*x], x], x], x] + Dist[(A*b^2 - a*b*B + a^2*C)/(a^2 +
b^2), Int[((c + d*Tan[e + f*x])^n*(1 + Tan[e + f*x]^2))/(a + b*Tan[e + f*x]), x], x] /; FreeQ[{a, b, c, d, e,
f, A, B, C, n}, x] && NeQ[b*c - a*d, 0] && NeQ[a^2 + b^2, 0] && NeQ[c^2 + d^2, 0] &&  !GtQ[n, 0] &&  !LeQ[n, -
1]

Rubi steps

\begin {align*} \int \frac {\sqrt {c+d \tan (e+f x)} \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(a+b \tan (e+f x))^2} \, dx &=-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}+\frac {\int \frac {\frac {1}{2} \left (2 (b B-a C) \left (b c-\frac {a d}{2}\right )+2 A b \left (a c+\frac {b d}{2}\right )\right )-b ((A-C) (b c-a d)-B (a c+b d)) \tan (e+f x)-\frac {1}{2} \left (A b^2-a b B-a^2 C-2 b^2 C\right ) d \tan ^2(e+f x)}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx}{b \left (a^2+b^2\right )}\\ &=-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}+\frac {\int \frac {b \left (a^2 (A c-c C-B d)-b^2 (A c-c C-B d)+2 a b (B c+(A-C) d)\right )-b \left (2 a b (A c-c C-B d)-a^2 (B c+(A-C) d)+b^2 (B c+(A-C) d)\right ) \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{b \left (a^2+b^2\right )^2}+\frac {\left (a^3 b B d+a^4 C d+b^4 (2 B c+A d)+a b^3 (4 A c-4 c C-3 B d)-a^2 b^2 (2 B c+3 A d-5 C d)\right ) \int \frac {1+\tan ^2(e+f x)}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx}{2 b \left (a^2+b^2\right )^2}\\ &=-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}+\frac {((A-i B-C) (c-i d)) \int \frac {1+i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a-i b)^2}+\frac {((A+i B-C) (c+i d)) \int \frac {1-i \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx}{2 (a+i b)^2}+\frac {\left (a^3 b B d+a^4 C d+b^4 (2 B c+A d)+a b^3 (4 A c-4 c C-3 B d)-a^2 b^2 (2 B c+3 A d-5 C d)\right ) \operatorname {Subst}\left (\int \frac {1}{(a+b x) \sqrt {c+d x}} \, dx,x,\tan (e+f x)\right )}{2 b \left (a^2+b^2\right )^2 f}\\ &=-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}-\frac {(i (A+i B-C) (c+i d)) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c+i d x}} \, dx,x,-i \tan (e+f x)\right )}{2 (a+i b)^2 f}+\frac {((A-i B-C) (i c+d)) \operatorname {Subst}\left (\int \frac {1}{(-1+x) \sqrt {c-i d x}} \, dx,x,i \tan (e+f x)\right )}{2 (a-i b)^2 f}+\frac {\left (a^3 b B d+a^4 C d+b^4 (2 B c+A d)+a b^3 (4 A c-4 c C-3 B d)-a^2 b^2 (2 B c+3 A d-5 C d)\right ) \operatorname {Subst}\left (\int \frac {1}{a-\frac {b c}{d}+\frac {b x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{b \left (a^2+b^2\right )^2 d f}\\ &=-\frac {\left (a^3 b B d+a^4 C d+b^4 (2 B c+A d)+a b^3 (4 A c-4 c C-3 B d)-a^2 b^2 (2 B c+3 A d-5 C d)\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{b^{3/2} \left (a^2+b^2\right )^2 \sqrt {b c-a d} f}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}-\frac {((A+i B-C) (c+i d)) \operatorname {Subst}\left (\int \frac {1}{-1+\frac {i c}{d}-\frac {i x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{(a+i b)^2 d f}+\frac {((i A+B-i C) (i c+d)) \operatorname {Subst}\left (\int \frac {1}{-1-\frac {i c}{d}+\frac {i x^2}{d}} \, dx,x,\sqrt {c+d \tan (e+f x)}\right )}{(a-i b)^2 d f}\\ &=-\frac {(B+i (A-C)) \sqrt {c-i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{(a-i b)^2 f}-\frac {(B-i (A-C)) \sqrt {c+i d} \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{(a+i b)^2 f}-\frac {\left (a^3 b B d+a^4 C d+b^4 (2 B c+A d)+a b^3 (4 A c-4 c C-3 B d)-a^2 b^2 (2 B c+3 A d-5 C d)\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{b^{3/2} \left (a^2+b^2\right )^2 \sqrt {b c-a d} f}-\frac {\left (A b^2-a (b B-a C)\right ) \sqrt {c+d \tan (e+f x)}}{b \left (a^2+b^2\right ) f (a+b \tan (e+f x))}\\ \end {align*}

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Mathematica [B]  time = 6.39, size = 764, normalized size = 2.41 \[ -\frac {2 C \sqrt {c+d \tan (e+f x)}}{b f (a+b \tan (e+f x))}-\frac {2 \left (-\frac {\sqrt {c+d \tan (e+f x)} \left (\frac {1}{2} b^2 (-a C d-A b c+2 b c C)-a \left (-\frac {1}{2} a (-a C d-b B d+b c C)-\frac {1}{2} b^2 (d (A-C)+B c)\right )\right )}{f \left (a^2+b^2\right ) (b c-a d) (a+b \tan (e+f x))}-\frac {\frac {2 \sqrt {b c-a d} \left (-\frac {1}{4} a^2 d (b c-a d) \left (a^2 (-C)-a b B+A b^2-2 b^2 C\right )+\frac {1}{4} b^2 (b c-a d) \left (a^2 C d+a b (2 A c-B d-2 c C)+b^2 (A d+2 B c)\right )+\frac {1}{2} a b^2 (b c-a d) (-a A d-a B c+a C d+A b c-b B d-b c C)\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d \tan (e+f x)}}{\sqrt {b c-a d}}\right )}{\sqrt {b} f \left (a^2+b^2\right ) (a d-b c)}+\frac {\frac {i \sqrt {c-i d} \left (\frac {1}{2} b (b c-a d) \left (a^2 (A c-B d-c C)+2 a b (d (A-C)+B c)-b^2 (A c-B d-c C)\right )+\frac {1}{2} i b (b c-a d) \left (-\left (a^2 (d (A-C)+B c)\right )+2 a b (A c-B d-c C)+b^2 (d (A-C)+B c)\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c-i d}}\right )}{f (-c+i d)}-\frac {i \sqrt {c+i d} \left (\frac {1}{2} b (b c-a d) \left (a^2 (A c-B d-c C)+2 a b (d (A-C)+B c)-b^2 (A c-B d-c C)\right )-\frac {1}{2} i b (b c-a d) \left (-\left (a^2 (d (A-C)+B c)\right )+2 a b (A c-B d-c C)+b^2 (d (A-C)+B c)\right )\right ) \tanh ^{-1}\left (\frac {\sqrt {c+d \tan (e+f x)}}{\sqrt {c+i d}}\right )}{f (-c-i d)}}{a^2+b^2}}{\left (a^2+b^2\right ) (b c-a d)}\right )}{b} \]

Antiderivative was successfully verified.

[In]

Integrate[(Sqrt[c + d*Tan[e + f*x]]*(A + B*Tan[e + f*x] + C*Tan[e + f*x]^2))/(a + b*Tan[e + f*x])^2,x]

[Out]

(-2*C*Sqrt[c + d*Tan[e + f*x]])/(b*f*(a + b*Tan[e + f*x])) - (2*(-((((I*Sqrt[c - I*d]*((b*(b*c - a*d)*(a^2*(A*
c - c*C - B*d) - b^2*(A*c - c*C - B*d) + 2*a*b*(B*c + (A - C)*d)))/2 + (I/2)*b*(b*c - a*d)*(2*a*b*(A*c - c*C -
B*d) - a^2*(B*c + (A - C)*d) + b^2*(B*c + (A - C)*d)))*ArcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c - I*d]])/((-c
+ I*d)*f) - (I*Sqrt[c + I*d]*((b*(b*c - a*d)*(a^2*(A*c - c*C - B*d) - b^2*(A*c - c*C - B*d) + 2*a*b*(B*c + (A
- C)*d)))/2 - (I/2)*b*(b*c - a*d)*(2*a*b*(A*c - c*C - B*d) - a^2*(B*c + (A - C)*d) + b^2*(B*c + (A - C)*d)))*A
rcTanh[Sqrt[c + d*Tan[e + f*x]]/Sqrt[c + I*d]])/((-c - I*d)*f))/(a^2 + b^2) + (2*Sqrt[b*c - a*d]*(-1/4*(a^2*(A
*b^2 - a*b*B - a^2*C - 2*b^2*C)*d*(b*c - a*d)) + (a*b^2*(b*c - a*d)*(A*b*c - a*B*c - b*c*C - a*A*d - b*B*d + a
*C*d))/2 + (b^2*(b*c - a*d)*(a^2*C*d + b^2*(2*B*c + A*d) + a*b*(2*A*c - 2*c*C - B*d)))/4)*ArcTanh[(Sqrt[b]*Sqr
t[c + d*Tan[e + f*x]])/Sqrt[b*c - a*d]])/(Sqrt[b]*(a^2 + b^2)*(-(b*c) + a*d)*f))/((a^2 + b^2)*(b*c - a*d))) -
(((b^2*(-(A*b*c) + 2*b*c*C - a*C*d))/2 - a*(-1/2*(b^2*(B*c + (A - C)*d)) - (a*(b*c*C - b*B*d - a*C*d))/2))*Sqr
t[c + d*Tan[e + f*x]])/((a^2 + b^2)*(b*c - a*d)*f*(a + b*Tan[e + f*x]))))/b

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2,x, algorithm="fricas")

[Out]

Timed out

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2,x, algorithm="giac")

[Out]

Timed out

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maple [B]  time = 0.87, size = 5778, normalized size = 18.23 \[ \text {output too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2,x)

[Out]

result too large to display

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maxima [F(-2)]  time = 0.00, size = 0, normalized size = 0.00 \[ \text {Exception raised: ValueError} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2,x, algorithm="maxima")

[Out]

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

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mupad [B]  time = 45.42, size = 138318, normalized size = 436.33 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((c + d*tan(e + f*x))^(1/2)*(A + B*tan(e + f*x) + C*tan(e + f*x)^2))/(a + b*tan(e + f*x))^2,x)

[Out]

atan(((((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^1
2*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2
- 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^
11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9
*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^
3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2
+ 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5
+ 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a
^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d
^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*
f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4
- 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d
^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*
d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f
^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*B^2*a^4*c*f^2 + 8*
B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*
a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*
c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 +
160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^1
0*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 +
400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*
b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*
f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6
*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^
3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4
*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^
2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (1
6*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 2
0*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*
b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2
*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68
*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9
*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c
^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f
^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^
4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*
B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*B^2
*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2
+ B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f
^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*
B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*
b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d
^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4
*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 -
B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2
+ 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)
*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2
*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^
6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 -
120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B
^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200
*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 +
44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*
d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6
*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20
*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*
b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*
f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*
B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*
a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400
*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 -
80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4
- 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d
*tan(e + f*x))^(1/2)*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2
*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*
b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2
*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 16
0*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10
*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4
*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5
*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4
+ 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*
b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*
B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*
a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*
c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*
a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*
c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d
^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b
^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B
^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 -
20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d
^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4
*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4
+ 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 +
16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^
4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b
*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^
4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 +
24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(
c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*
B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 -
87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^
6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 4
4*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*
b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 4
8*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64
*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^
2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(156*B^
3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^1
1*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*
c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^
9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224
*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*
f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*
c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 +
6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 +
720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^1
5*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^
9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*
c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6
*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^1
0*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5
+ 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32
*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f
^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b
^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 +
4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*
f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^
2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d
^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 1
12*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6
*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f
^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2
*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*
b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2
*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f
*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^1
1*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 +
4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^
2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*
d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*
b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^
2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*
a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^
2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4
))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)
/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*B^2*a^4*c*f^2 + 8*B^2
*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8
*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f
^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 +
17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B
^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^
4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28
*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10
))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2
- 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*
b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^
2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*
f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12
*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 -
124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f
^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d
^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4
*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 12
8*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*
f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*
b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d
^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4
- 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 +
16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f
^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8
*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d
^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*
(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 -
(B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B
^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4
+ b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 +
288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d
^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 7
20*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^1
4*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9
*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*
f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^
2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4
+ 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*
d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*
a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40
*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*
a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*
b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2
*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^
2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d
^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b
^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3
*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^
2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 -
16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2
*f^4)))^(1/2))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b
^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^
4))^(1/2) - 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2
)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(
1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4
*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^
10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4
*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11
- 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f
^4))*(-(((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^
2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2)
- 4*B^2*a^4*c*f^2 - 4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8
*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(2*B^5*a^3*b^4*d^13 + 4*B^5*b^7*
c^3*d^10 - 6*B^5*a*b^6*d^13 + 4*B^5*b^7*c*d^12 - 9*B^5*a^2*b^5*c^3*d^10 + 4*B^5*a^2*b^5*c^5*d^8 - 12*B^5*a^3*b
^4*c^2*d^11 - 14*B^5*a^3*b^4*c^4*d^9 + 2*B^5*a^4*b^3*c^3*d^10 - 4*B^5*a^4*b^3*c^5*d^8 + 4*B^5*a^5*b^2*c^2*d^11
+ 4*B^5*a^5*b^2*c^4*d^9 - B^5*a^6*b*c*d^12 + 6*B^5*a*b^6*c^4*d^9 - 13*B^5*a^2*b^5*c*d^12 + 6*B^5*a^4*b^3*c*d^
12 - B^5*a^6*b*c^3*d^10))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*(-(((8*B^2*a^4
*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^
4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*B^2*a^4*c*f^2 -
4*B^2*b^4*c*f^2 + 16*B^2*a*b^3*d*f^2 - 16*B^2*a^3*b*d*f^2 + 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*
a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i - atan(((((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b
^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12
*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2
- 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d
^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a
^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 +
544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^
2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*
f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 9
6*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*
C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C
*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 -
640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^
4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*
a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4
*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4
+ 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 -
16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^
4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6
*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4
+ 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a
^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*
c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 +
336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^
4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b
*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^
4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 -
24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(
c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 38
0*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*
a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12
*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*
a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2
+ 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^
2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^1
1*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^
2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2
)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^
2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b
^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 +
32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^
4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*
a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^
(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*
d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8
+ 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*
C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2
*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9
*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32
*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f
^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b
^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 +
4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*
f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C
^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 10
4*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^
2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^
8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*
C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 +
4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960
*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15
*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^
7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b
^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*
a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*
C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6
*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^
2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96
*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*
d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*
(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*
f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^1
6*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c
^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4
+ 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*
b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))
*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4
- (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*
C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4
+ b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a
^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^
11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10
*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^
10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b
^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 1
04*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*
f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*
b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*
d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2
*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 +
16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*
f^4)))^(1/2))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^
2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4
))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)
/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1
/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*
a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4
*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^
5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40
*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 +
6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f
^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^
4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*
C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(
304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*
C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*
c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*
a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 +
176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*
d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*
a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*
a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^
8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^1
0*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10
*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^
3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7
*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^1
5*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x)
)^(1/2)*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^
2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/
2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(
a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^
10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a
^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^
8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^
4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*
b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f
^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c
*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 +
16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 1
6*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*
b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*
d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d
^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*
C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2
- 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^
3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*
a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 +
4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f
^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2
*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*
b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2
*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*C^2*a^4*c*f^2
+ 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*
(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*
b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6
*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^1
2 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 +
4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*
c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10
- 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b
^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(
((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C
^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*
a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b
^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5
*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^
12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f
^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c
*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3
*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2
+ 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*
c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^1
1*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 +
96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 64
0*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320
*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4
- 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*
f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 +
4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b
^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f
^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2
- 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*
a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a
^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^
4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400
*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^1
7*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4
+ 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*
f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3
*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*
b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2
- 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16
*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 +
380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^
2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^
12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^
2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f
^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*
c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a
^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*
f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d
^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*
C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2
*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2
+ 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*
f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 + 16*C^
2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))
)^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^
6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d
^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 1
8*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b
^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b
^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 -
32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8
*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a
*b^3*d*f^2 + 16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4
+ 4*a^6*b^2*f^4)))^(1/2) - (16*(C^5*a^8*d^13 + 10*C^5*a^2*b^6*d^13 + 27*C^5*a^4*b^4*d^13 + 10*C^5*a^6*b^2*d^1
3 + C^5*a^8*c^2*d^11 + 36*C^5*a^2*b^6*c^2*d^11 + 26*C^5*a^2*b^6*c^4*d^9 - 40*C^5*a^3*b^5*c^3*d^10 + 29*C^5*a^4
*b^4*c^2*d^11 + 2*C^5*a^4*b^4*c^4*d^9 - 8*C^5*a^5*b^3*c^3*d^10 + 10*C^5*a^6*b^2*c^2*d^11 - 8*C^5*a*b^7*c*d^12
- 16*C^5*a*b^7*c^3*d^10 - 8*C^5*a*b^7*c^5*d^8 - 40*C^5*a^3*b^5*c*d^12 - 8*C^5*a^5*b^3*c*d^12))/(b^9*f^5 + a^8*
b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5)))*(-(((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3
*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^
2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*C^2*a^4*c*f^2 + 4*C^2*b^4*c*f^2 - 16*C^2*a*b^3*d*f^2 +
16*C^2*a^3*b*d*f^2 - 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2
*f^4)))^(1/2)*2i - atan(((((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 -
4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a
*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*
A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2
+ 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^
3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 +
b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4
- 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^
15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b
^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^
12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^
8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*
a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2
*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3
*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*
b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2
+ 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b
^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 -
288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*
d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*
f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a
^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d
^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^
2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2
+ A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*
f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^
11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2
- 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104
*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2
- 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*
c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a
^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(
a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32
*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f
^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b
^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 +
4*a^6*b^2*f^4)))^(1/2))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*
A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a
^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*
b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e
+ f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*
d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4
*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*
d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^
4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*
d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4
*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 +
24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((
8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20
*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*
a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A
^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2
- 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*
c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6
*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 4
80*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14
*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^
6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b
^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^
9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*
a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f
*x))^(1/2)*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*
f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(
1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16
*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*
d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*
a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d
^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^
4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*
b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f
^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^
2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16
*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A
^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4
*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11
*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 +
68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 4
8*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^
2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^
8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2
*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^
6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^
3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4
*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^
2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(((
(8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^
4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a
^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^
8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^1
2 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 6
3*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a
^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 -
56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^
2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2
)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2
) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a
^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((16*(A^5*b^7*d^13 - 9*A^5*a^4*b
^3*d^13 + 3*A^5*b^7*c^2*d^11 + 2*A^5*b^7*c^4*d^9 - 22*A^5*a^2*b^5*c^2*d^11 - 22*A^5*a^2*b^5*c^4*d^9 + 24*A^5*a
^3*b^4*c^3*d^10 - 9*A^5*a^4*b^3*c^2*d^11 + 8*A^5*a*b^6*c^3*d^10 + 8*A^5*a*b^6*c^5*d^8 + 24*A^5*a^3*b^4*c*d^12)
)/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^
3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^
10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^
9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2
*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 1
92*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^
9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((
8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*
b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^1
0*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10
*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2
*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*
c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*
f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^4*c*f^2 + 8*
A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*
a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*
c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 +
160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^1
0*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 +
400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*
b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*
f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6
*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3
*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*
b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2
+ 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16
*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84
*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^1
3*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*
a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 +
204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d
^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b
^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f
^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2
/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) -
4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*
f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2
- 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b
^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2
*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f
^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4
*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2
*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3
*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5
*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2
*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8
*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f
^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^
7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^1
1*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c
*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*
b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 35
2*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*
f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^
2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^
11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f
^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^
4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^
8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3
*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4
*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*
f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b
^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16
*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^
4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8
*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 2
72*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a
^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c
*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 +
112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^
2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2
)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2
) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a
^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(20
*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a
^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c
^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^
8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 +
216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^
9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2
*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^
2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^
8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*
f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a
^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^
4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f
^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (
16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12
+ 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c
^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 +
12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^
4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2
+ 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*
f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^
2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))
)^(1/2)))*((((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f
^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1
/2) - 4*A^2*a^4*c*f^2 - 4*A^2*b^4*c*f^2 + 16*A^2*a*b^3*d*f^2 - 16*A^2*a^3*b*d*f^2 + 24*A^2*a^2*b^2*c*f^2)/(16*
(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i - atan(((((8*(128*A^3*a^3*b^8*d
^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^
2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 -
256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^
2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c
^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3
*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6
*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^
4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A
*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*
a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 32
0*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 -
288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/
(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*A^
2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2
+ A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*
f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*
b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 -
32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^
11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2
*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 56
0*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8
*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d
*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*
b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 1
6*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f
^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*
b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^1
1*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^
10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^
11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*
A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f
^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*
f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^
2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6
*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^
2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*A^2*a^4*c*f^2
+ 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)
*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2
*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^
6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^
7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^
2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 -
24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*
c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A
^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^
2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c
*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^
4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^
6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*
f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11
*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3
*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a
^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 -
4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*
b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11
*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 +
640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 9
6*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4
+ 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*
f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*
a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4
*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4
+ 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 -
16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^
4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6
*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 +
48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^
8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*
d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 3
36*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f
^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^
4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*
A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c +
d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a
^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^
10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^
7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^
2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2
+ 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3
*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(
-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 -
(A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^
2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 +
b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32
*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f
^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b
^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 +
4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5
*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7
*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9
+ 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4
*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^
4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^
4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2
- 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a
^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((16*(A^5*b^7*d^13 - 9*A^5*a^4*b^3*d^13 + 3*A^5*b^7*c^2*d^11 + 2*A^5*b
^7*c^4*d^9 - 22*A^5*a^2*b^5*c^2*d^11 - 22*A^5*a^2*b^5*c^4*d^9 + 24*A^5*a^3*b^4*c^3*d^10 - 9*A^5*a^4*b^3*c^2*d^
11 + 8*A^5*a*b^6*c^3*d^10 + 8*A^5*a*b^6*c^5*d^8 + 24*A^5*a^3*b^4*c*d^12))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 +
6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d
^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 +
12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f
^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4
*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a
^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(
a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*
d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4
+ 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 64
0*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320
*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 -
480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^
4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 +
4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 +
32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4
+ 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a
^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(
1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d
^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2
*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^
7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f
^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^
13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)
)*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4
- (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4
*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^
4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*
a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b
^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^
9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5
*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A
^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2
- 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*
d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^
4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^
4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2
- 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a
^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*
b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b
^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2
- 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*
(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3
*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*
d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12
*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 +
4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 +
32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^
4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*
a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^
(1/2) + (((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^
12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^
2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^1
1*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*
c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A
^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*
b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d
^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 +
64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 3
20*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 +
640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4
+ 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*
f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c +
d*tan(e + f*x))^(1/2)*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^
2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6
*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^
2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 1
60*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^1
0*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^
4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^
5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^
4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15
*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8
*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16
*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4
*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^
4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2
*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*
c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c
*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*
b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 1
68*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*
f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f
^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f
^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^
6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*
A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4
)))^(1/2))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c
*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^
(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(1
6*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)
*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*
b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*
d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*
a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4
*f^4 + 4*a^6*b^2*f^4))*(-(((8*A^2*a^4*c*f^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A
^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^
6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b
^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)))*(-(((8*A^2*a^4*c*f
^2 + 8*A^2*b^4*c*f^2 - 32*A^2*a*b^3*d*f^2 + 32*A^2*a^3*b*d*f^2 - 48*A^2*a^2*b^2*c*f^2)^2/4 - (A^4*c^2 + A^4*d^
2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*A^2*a^4*c*f^2 + 4*A
^2*b^4*c*f^2 - 16*A^2*a*b^3*d*f^2 + 16*A^2*a^3*b*d*f^2 - 24*A^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*
b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i - atan(((((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d
^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2
- 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 3
20*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*
f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b
^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544
*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^
10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*f^4
+ 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*
a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^
7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3
*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640
*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 -
64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*
b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^
2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16
*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C
^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4
*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12
*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*
b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^
10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9
*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*
a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6
*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2
- 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4
+ 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^
2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*
tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*
a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b
*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^1
0*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b
^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216
*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*
f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*
c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C
^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a
^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c
*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*
a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a
^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*
f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) +
(16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 1
5*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^
4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*
b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^1
0 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a
^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^
3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a
^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2
- 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^
2*f^4)))^(1/2)*1i - (((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148
*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c
*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4
*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C
^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9
*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b
^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^
7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^
10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*
f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*
f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d
^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c
^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^
4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5)
+ (16*(c + d*tan(e + f*x))^(1/2)*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*
f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f
^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24
*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d
^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*
a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*
f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4
- 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*
b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*
f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2
*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2
+ C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f
^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^1
1*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11
*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C
^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 60
4*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f
^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*
b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C
^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a
^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C
^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 9
6*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b
*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)
)*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4
- (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*
C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4
+ b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^
10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12
+ C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*
d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 1
7*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*
c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4
+ 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^
2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2
*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*
f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(304*C^3*a^3*b^
9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d
^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 +
64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11
*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^
9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192
*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^
9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) -
(((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 4
80*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*
a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^
2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 96
0*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 +
480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))
/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*
C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c
^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*
c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f
^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^
4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^
4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6
*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4
*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4
+ 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 +
a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*
b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64
*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^
2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*
b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C
^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*
a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d
^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b
^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*
C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*
f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*
c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f
^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2
/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) -
4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*
f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2
- 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b
^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2
*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f
^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*
d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^1
0 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*
a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c
^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4
*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 +
8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(
16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b
^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*
f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320
*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^1
1*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^
10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*
a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^
2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*
c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9
*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b
^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11
*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*
f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8
*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^
3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5
*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a
^4*b^5*f^5 + 4*a^6*b^3*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*
b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64
*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^
2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*
b^2*f^4)))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 1
60*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*
f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^
4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^
3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^
9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4
+ 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2
*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*
f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f
^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))
^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*
f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4
*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C
^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2
- 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10
*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*
a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))
/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2
- 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b
^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2
*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f
^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f^2 -
48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 +
64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*C^2*
a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*ta
n(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4
*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2
*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 -
32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9
*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*
a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*
C^2*a^3*b*d*f^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 +
96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*
b*d*f^2 + 24*C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2
) - (16*(C^5*a^8*d^13 + 10*C^5*a^2*b^6*d^13 + 27*C^5*a^4*b^4*d^13 + 10*C^5*a^6*b^2*d^13 + C^5*a^8*c^2*d^11 + 3
6*C^5*a^2*b^6*c^2*d^11 + 26*C^5*a^2*b^6*c^4*d^9 - 40*C^5*a^3*b^5*c^3*d^10 + 29*C^5*a^4*b^4*c^2*d^11 + 2*C^5*a^
4*b^4*c^4*d^9 - 8*C^5*a^5*b^3*c^3*d^10 + 10*C^5*a^6*b^2*c^2*d^11 - 8*C^5*a*b^7*c*d^12 - 16*C^5*a*b^7*c^3*d^10
- 8*C^5*a*b^7*c^5*d^8 - 40*C^5*a^3*b^5*c*d^12 - 8*C^5*a^5*b^3*c*d^12))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 +
6*a^4*b^5*f^5 + 4*a^6*b^3*f^5)))*((((8*C^2*a^4*c*f^2 + 8*C^2*b^4*c*f^2 - 32*C^2*a*b^3*d*f^2 + 32*C^2*a^3*b*d*f
^2 - 48*C^2*a^2*b^2*c*f^2)^2/4 - (C^4*c^2 + C^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^
4 + 64*a^6*b^2*f^4))^(1/2) - 4*C^2*a^4*c*f^2 - 4*C^2*b^4*c*f^2 + 16*C^2*a*b^3*d*f^2 - 16*C^2*a^3*b*d*f^2 + 24*
C^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*2i + atan((
(((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2
+ 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124
*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2
+ 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d
^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*
b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*
B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^
2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^1
2*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^
4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 -
320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224
*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4
- 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^
4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4
*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4
*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4
+ 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 -
16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^
4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6
*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 +
48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^
8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*
d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 3
36*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 +
6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^
2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4
+ 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B
^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d
*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^
3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d
^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9
*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2
*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 4
0*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f
^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^
4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B
^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^
6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b
^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*B^2*a^4*c*f^2
+ 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)
*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2
*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^
6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^
7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^
10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^
4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d
^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*
c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^
4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^
4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2
- 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a
^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i - (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^
6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d
^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^
6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2
*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 -
24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^
8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^
2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f
^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B
*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*
c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*
d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11
*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b
^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13
*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*
x))^(1/2)*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f
^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1
/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*
(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d
^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a
^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^
8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4
- 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b
^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^
4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2
- 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*
b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^
2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*
f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*
f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 +
60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*
B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2
- 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^
3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b
^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8
*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^
2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4
+ 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*
d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*
a^6*b^2*f^4)))^(1/2))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2
*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*
b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2
*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f
*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8
+ B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*
c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 +
4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c
*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6
*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*
f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(
1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16
*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*1i)/((((8*(156*B^3*a^2*b^9*d^12*f
^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 +
12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 22
4*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2
- 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3
*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6
*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 2
0*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 +
4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*
d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 +
80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 8
0*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 38
4*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4
+ 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^
4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5
+ 4*a^6*b^2*f^5) - (16*(c + d*tan(e + f*x))^(1/2)*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2
+ 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f
^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2
*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))
^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9
*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a
^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*
b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9
*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*
a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^
4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/
4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) +
4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f
^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2
*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11
*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^1
0*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^
7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*
a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 +
24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8
*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((
8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4
*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^
4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8
*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*
a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 +
64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*
f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^
6*b^2*f^4)))^(1/2) - (16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12
- 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 +
60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a
^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 -
64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^
4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2
+ 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*
f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^
2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))
)^(1/2) + (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3
*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11
*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*
c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2
*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 20
0*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9
*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*
f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384
*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b
^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d
^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10
*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c
^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*
c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b
^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (16*(c + d*tan(e + f*x))^(1/2)*((((8*B^2*a^4*c*f^2 +
8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(
16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b
^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*
f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4
+ 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*
d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^
4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16
*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d
^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/(a^8*f^4 + b^8*f^4 + 4*a^2*
b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*
a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a
^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*
f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) +
(16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 -
20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^
2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B
^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 +
68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d
^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4
*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*
f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f
^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24
*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2))*((((8*B^2
*a^4*c*f^2 + 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2
+ B^4*d^2)*(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f
^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) + (16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*
B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*
b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d
^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4
*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 -
B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*((((8*B^2*a^4*c*f^2
+ 8*B^2*b^4*c*f^2 - 32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*
(16*a^8*f^4 + 16*b^8*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*
b^4*c*f^2 - 16*B^2*a*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6
*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)))^(1/2) - (16*(2*B^5*a^3*b^4*d^13 + 4*B^5*b^7*c^3*d^10 - 6*B^5*a*b^6*d^1
3 + 4*B^5*b^7*c*d^12 - 9*B^5*a^2*b^5*c^3*d^10 + 4*B^5*a^2*b^5*c^5*d^8 - 12*B^5*a^3*b^4*c^2*d^11 - 14*B^5*a^3*b
^4*c^4*d^9 + 2*B^5*a^4*b^3*c^3*d^10 - 4*B^5*a^4*b^3*c^5*d^8 + 4*B^5*a^5*b^2*c^2*d^11 + 4*B^5*a^5*b^2*c^4*d^9 -
B^5*a^6*b*c*d^12 + 6*B^5*a*b^6*c^4*d^9 - 13*B^5*a^2*b^5*c*d^12 + 6*B^5*a^4*b^3*c*d^12 - B^5*a^6*b*c^3*d^10))/
(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5)))*((((8*B^2*a^4*c*f^2 + 8*B^2*b^4*c*f^2 -
32*B^2*a*b^3*d*f^2 + 32*B^2*a^3*b*d*f^2 - 48*B^2*a^2*b^2*c*f^2)^2/4 - (B^4*c^2 + B^4*d^2)*(16*a^8*f^4 + 16*b^8
*f^4 + 64*a^2*b^6*f^4 + 96*a^4*b^4*f^4 + 64*a^6*b^2*f^4))^(1/2) + 4*B^2*a^4*c*f^2 + 4*B^2*b^4*c*f^2 - 16*B^2*a
*b^3*d*f^2 + 16*B^2*a^3*b*d*f^2 - 24*B^2*a^2*b^2*c*f^2)/(16*(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4
+ 4*a^6*b^2*f^4)))^(1/2)*2i + (atan(-((((((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a
^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^
12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d
^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b
*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 10
4*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^
9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 +
a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^1
1*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3
*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 -
12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2
- 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d
^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2
*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 +
196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4
+ 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 96
0*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^1
5*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b
^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*
b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C
*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96
*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^
6*b^3*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*
a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6
*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^
2))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*
b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 2
72*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*
a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*
c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 +
112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^
6*b^3*f^4)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^
2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 +
25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*
f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2
- a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2
+ a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^
2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*
c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*
a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*
a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^
3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*
C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*
b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^
12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*
d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C
^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*
c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C
^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b
^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 13
2*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^
3*f^4))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d -
8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*
b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2)*1i)/(4*(b^12*c*f^2 + 4*a^
2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b
^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) - (((((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*
C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11
*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^1
0*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a
^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2
+ 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c
^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*
f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((16*(c + d*tan(e + f*x))^(1/2)*(52*C^2*a^
3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^1
1*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*
f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^1
0*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^
2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2 + 10
4*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f
^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b
*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4
+ 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*
a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 320*C*
a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C
*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 +
960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4
+ 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 +
4*a^6*b^3*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10
*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 +
4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11
*d*f^2))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4 - 160
*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^
4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4
+ 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*
b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*
f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 +
4*a^6*b^3*f^4)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9
*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*
c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^
10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d
*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c
*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(
4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5
*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2
- 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2
+ 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a
^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2
- 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 +
a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(
4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5
*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^1
2 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*
a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 +
104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*
a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11
+ 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a
^6*b^3*f^4))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c
*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4
*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2)*1i)/(4*(b^12*c*f^2 +
4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*
a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))/((((((8*(304*C^3*a^3*b^9*d^12*f^2 + 120*C^3*a^5*b^7*d^12*f^2 -
320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 - 4*C^3*a*b^11*d^12*f^2 - 16*C^3
*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*a*b^11*c^4*d^8*f^2 - 320*C^3*a^
2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 116*C^3*a^8*b^4*c*d^11*f^2 - 16*
C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^10*f^2 - 128*C^3*a^3*b^9*c^4*d^
8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5*b^7*c^4*d^8*f^2 + 544*C^3*a^6*
b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 - 148*C^3*a^9*b^3*c^2*d^10*f^2))/
(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) - (((16*(c + d*tan(e + f*x))^(1/2)*(52*C
^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 380*C^2*a^9*b^5*d^11*f^2 + 100*C^
2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*a^13*b*d^11*f^2 - 4*C^2*a^14*c*
d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12*c*d^10*f^2 - 116*C^2*a^4*b^10*
c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*a^10*b^4*c*d^10*f^2 - 44*C^2*a^
12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2 + 216*C^2*a^4*b^10*c^3*d^8*f^2
+ 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*
d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^11*b^3*c^2*d^9*f^2))/(b^9*f^4 +
a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) + (((8*(96*C*a^2*b^14*d^11*f^4 + 480*C*a^4*b^12*d^1
1*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*f^4 + 96*C*a^12*b^4*d^11*f^4 -
64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4 - 640*C*a^7*b^9*c*d^10*f^4 - 3
20*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4 - 320*C*a^3*b^13*c^3*d^8*f^4 +
480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^9*f^4 - 640*C*a^7*b^9*c^3*d^8*f
^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2*d^9*f^4 - 64*C*a^11*b^5*c^3*d^
8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*
f^5 + 4*a^6*b^3*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2
+ 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f
^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a
*b^11*d*f^2))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^10*f^4 + 160*a^6*b^12*d^10*f^4
- 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^14*b^4*d^10*f^4 + 48*b^18*c^2*d
^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2*d^8*f^4 + 400*a^8*b^10*c^2*d^8
*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*f^4 + 16*a*b^17*c*d^9*f^4 + 112
*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9*b^9*c*d^9*f^4 + 336*a^11*b^7*c
*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*
f^4 + 4*a^6*b^3*f^4)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^
3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2
*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a
^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*
b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*
b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2
)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^
2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*
d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*
c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^
2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2
*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*
f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/
2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 -
6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(2*C^4*b^1
0*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*b^4*d^12 - 9*C^4*a^8*b^2*d^12 +
C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*c^2*d^10 - 12*C^4*a^2*b^8*c^4*d
^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^8 - 32*C^4*a^5*b^5*c^3*d^9 - 17
*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*a^9*b*c*d^11 - 40*C^4*a^3*b^7*c
*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4
+ 4*a^6*b^3*f^4))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*
b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^
2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2
+ 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 -
4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) - (16*(C^5*a^8*d^13 + 10*C^5*a^2*b^6*d^13 + 27*C^5*a^4*b^4*d^
13 + 10*C^5*a^6*b^2*d^13 + C^5*a^8*c^2*d^11 + 36*C^5*a^2*b^6*c^2*d^11 + 26*C^5*a^2*b^6*c^4*d^9 - 40*C^5*a^3*b^
5*c^3*d^10 + 29*C^5*a^4*b^4*c^2*d^11 + 2*C^5*a^4*b^4*c^4*d^9 - 8*C^5*a^5*b^3*c^3*d^10 + 10*C^5*a^6*b^2*c^2*d^1
1 - 8*C^5*a*b^7*c*d^12 - 16*C^5*a*b^7*c^3*d^10 - 8*C^5*a*b^7*c^5*d^8 - 40*C^5*a^3*b^5*c*d^12 - 8*C^5*a^5*b^3*c
*d^12))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((((8*(304*C^3*a^3*b^9*d^12*f
^2 + 120*C^3*a^5*b^7*d^12*f^2 - 320*C^3*a^7*b^5*d^12*f^2 - 148*C^3*a^9*b^3*d^12*f^2 + 4*C^3*b^12*c^3*d^9*f^2 -
4*C^3*a*b^11*d^12*f^2 - 16*C^3*a^11*b*d^12*f^2 + 4*C^3*b^12*c*d^11*f^2 + 60*C^3*a*b^11*c^2*d^10*f^2 + 64*C^3*
a*b^11*c^4*d^8*f^2 - 320*C^3*a^2*b^10*c*d^11*f^2 + 104*C^3*a^4*b^8*c*d^11*f^2 + 544*C^3*a^6*b^6*c*d^11*f^2 + 1
16*C^3*a^8*b^4*c*d^11*f^2 - 16*C^3*a^11*b*c^2*d^10*f^2 - 320*C^3*a^2*b^10*c^3*d^9*f^2 + 176*C^3*a^3*b^9*c^2*d^
10*f^2 - 128*C^3*a^3*b^9*c^4*d^8*f^2 + 104*C^3*a^4*b^8*c^3*d^9*f^2 - 72*C^3*a^5*b^7*c^2*d^10*f^2 - 192*C^3*a^5
*b^7*c^4*d^8*f^2 + 544*C^3*a^6*b^6*c^3*d^9*f^2 - 320*C^3*a^7*b^5*c^2*d^10*f^2 + 116*C^3*a^8*b^4*c^3*d^9*f^2 -
148*C^3*a^9*b^3*c^2*d^10*f^2))/(b^9*f^5 + a^8*b*f^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (((16*(
c + d*tan(e + f*x))^(1/2)*(52*C^2*a^3*b^11*d^11*f^2 + 128*C^2*a^5*b^9*d^11*f^2 + 424*C^2*a^7*b^7*d^11*f^2 + 38
0*C^2*a^9*b^5*d^11*f^2 + 100*C^2*a^11*b^3*d^11*f^2 - 20*C^2*b^14*c^3*d^8*f^2 + 60*C^2*a*b^13*d^11*f^2 + 8*C^2*
a^13*b*d^11*f^2 - 4*C^2*a^14*c*d^10*f^2 - 12*C^2*b^14*c*d^10*f^2 + 84*C^2*a*b^13*c^2*d^9*f^2 + 60*C^2*a^2*b^12
*c*d^10*f^2 - 116*C^2*a^4*b^10*c*d^10*f^2 - 604*C^2*a^6*b^8*c*d^10*f^2 - 596*C^2*a^8*b^6*c*d^10*f^2 - 220*C^2*
a^10*b^4*c*d^10*f^2 - 44*C^2*a^12*b^2*c*d^10*f^2 + 116*C^2*a^2*b^12*c^3*d^8*f^2 + 108*C^2*a^3*b^11*c^2*d^9*f^2
+ 216*C^2*a^4*b^10*c^3*d^8*f^2 + 104*C^2*a^5*b^9*c^2*d^9*f^2 + 8*C^2*a^6*b^8*c^3*d^8*f^2 + 248*C^2*a^7*b^7*c^
2*d^9*f^2 - 68*C^2*a^8*b^6*c^3*d^8*f^2 + 196*C^2*a^9*b^5*c^2*d^9*f^2 + 4*C^2*a^10*b^4*c^3*d^8*f^2 + 28*C^2*a^1
1*b^3*c^2*d^9*f^2))/(b^9*f^4 + a^8*b*f^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4) - (((8*(96*C*a^2*b^1
4*d^11*f^4 + 480*C*a^4*b^12*d^11*f^4 + 960*C*a^6*b^10*d^11*f^4 + 960*C*a^8*b^8*d^11*f^4 + 480*C*a^10*b^6*d^11*
f^4 + 96*C*a^12*b^4*d^11*f^4 - 64*C*a*b^15*c^3*d^8*f^4 - 320*C*a^3*b^13*c*d^10*f^4 - 640*C*a^5*b^11*c*d^10*f^4
- 640*C*a^7*b^9*c*d^10*f^4 - 320*C*a^9*b^7*c*d^10*f^4 - 64*C*a^11*b^5*c*d^10*f^4 + 96*C*a^2*b^14*c^2*d^9*f^4
- 320*C*a^3*b^13*c^3*d^8*f^4 + 480*C*a^4*b^12*c^2*d^9*f^4 - 640*C*a^5*b^11*c^3*d^8*f^4 + 960*C*a^6*b^10*c^2*d^
9*f^4 - 640*C*a^7*b^9*c^3*d^8*f^4 + 960*C*a^8*b^8*c^2*d^9*f^4 - 320*C*a^9*b^7*c^3*d^8*f^4 + 480*C*a^10*b^6*c^2
*d^9*f^4 - 64*C*a^11*b^5*c^3*d^8*f^4 + 96*C*a^12*b^4*c^2*d^9*f^4 - 64*C*a*b^15*c*d^10*f^4))/(b^9*f^5 + a^8*b*f
^5 + 4*a^2*b^7*f^5 + 6*a^4*b^5*f^5 + 4*a^6*b^3*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(4*(C^2*a^8*d^2 + 16*C^2*a
^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4
*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^
7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2)*(32*b^18*d^10*f^4 + 160*a^2*b^16*d^10*f^4 + 288*a^4*b^14*d^
10*f^4 + 160*a^6*b^12*d^10*f^4 - 160*a^8*b^10*d^10*f^4 - 288*a^10*b^8*d^10*f^4 - 160*a^12*b^6*d^10*f^4 - 32*a^
14*b^4*d^10*f^4 + 48*b^18*c^2*d^8*f^4 + 272*a^2*b^16*c^2*d^8*f^4 + 624*a^4*b^14*c^2*d^8*f^4 + 720*a^6*b^12*c^2
*d^8*f^4 + 400*a^8*b^10*c^2*d^8*f^4 + 48*a^10*b^8*c^2*d^8*f^4 - 48*a^12*b^6*c^2*d^8*f^4 - 16*a^14*b^4*c^2*d^8*
f^4 + 16*a*b^17*c*d^9*f^4 + 112*a^3*b^15*c*d^9*f^4 + 336*a^5*b^13*c*d^9*f^4 + 560*a^7*b^11*c*d^9*f^4 + 560*a^9
*b^9*c*d^9*f^4 + 336*a^11*b^7*c*d^9*f^4 + 112*a^13*b^5*c*d^9*f^4 + 16*a^15*b^3*c*d^9*f^4))/((b^9*f^4 + a^8*b*f
^4 + 4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b
^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)
))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2
*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d
*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c
*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2
- a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*
d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f
^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2
))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6
*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C
^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 +
6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9
*b^3*d*f^2 - a*b^11*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8
*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2)) - (16*(c + d
*tan(e + f*x))^(1/2)*(2*C^4*b^10*d^12 - C^4*a^10*d^12 + 4*C^4*a^2*b^8*d^12 + 27*C^4*a^4*b^6*d^12 - 15*C^4*a^6*
b^4*d^12 - 9*C^4*a^8*b^2*d^12 + C^4*a^10*c^2*d^10 + 4*C^4*b^10*c^2*d^10 + 2*C^4*b^10*c^4*d^8 + 24*C^4*a^2*b^8*
c^2*d^10 - 12*C^4*a^2*b^8*c^4*d^8 + 104*C^4*a^3*b^7*c^3*d^9 - 197*C^4*a^4*b^6*c^2*d^10 + 18*C^4*a^4*b^6*c^4*d^
8 - 32*C^4*a^5*b^5*c^3*d^9 - 17*C^4*a^6*b^4*c^2*d^10 - 8*C^4*a^7*b^3*c^3*d^9 + 9*C^4*a^8*b^2*c^2*d^10 + 4*C^4*
a^9*b*c*d^11 - 40*C^4*a^3*b^7*c*d^11 + 132*C^4*a^5*b^5*c*d^11 + 48*C^4*a^7*b^3*c*d^11))/(b^9*f^4 + a^8*b*f^4 +
4*a^2*b^7*f^4 + 6*a^4*b^5*f^4 + 4*a^6*b^3*f^4))*(4*(C^2*a^8*d^2 + 16*C^2*a^2*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 1
0*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 +
4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^1
1*d*f^2))^(1/2))/(4*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3
*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))))*(4*(C^2*a^8*d^2 + 16*C^2*a^2
*b^6*c^2 + 25*C^2*a^4*b^4*d^2 + 10*C^2*a^6*b^2*d^2 - 40*C^2*a^3*b^5*c*d - 8*C^2*a^5*b^3*c*d)*(b^12*c*f^2 + 4*a
^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*
b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*f^2))^(1/2)*1i)/(2*(b^12*c*f^2 + 4*a^2*b^10*c*f^2 + 6*a^4*b^8*c*f^2 + 4*a
^6*b^6*c*f^2 + a^8*b^4*c*f^2 - 4*a^3*b^9*d*f^2 - 6*a^5*b^7*d*f^2 - 4*a^7*b^5*d*f^2 - a^9*b^3*d*f^2 - a*b^11*d*
f^2)) + (atan(((((16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7
*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*
B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b
^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*
B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 +
4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) - (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 12
0*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*
a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^
3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44
*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^1
0*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^
5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^
3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(80*B*a*b
^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f
^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B
*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a
^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*
B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 -
80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 -
16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (4*(c + d*t
an(e + f*x))^(1/2)*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2
- 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2
+ 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*
b^9*d*f^2 - a^9*b*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^
11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48
*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b
^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9
*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*
a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*
a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2
- 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*
b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d -
12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b
^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c
*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2
- 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 1
68*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^
2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^1
2*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^
2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2
+ 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^
9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^
2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(4*(B^2*a^6*d^2 + 4*B^2*b
^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d -
12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^
2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*
f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2
- 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a
^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*
(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^
5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*
f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^
9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B
^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^
4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*
f^2 - a^9*b*d*f^2))^(1/2)*1i)/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c
*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)) + (((16*(c + d*tan(e
+ f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*
d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b
^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^
8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^
4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*
a^6*b^2*f^4) + (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^
8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c
*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7
*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^
3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2
+ 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^
3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 +
b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^
4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B
*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b
^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3
*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5
*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a
^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*
f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(4*(B^2*a^6*d^2
+ 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*
b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^
2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2)*(3
2*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4
- 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c
^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d
^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 33
6*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*
c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(b^10
*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f
^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^
2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*
d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5
*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6
*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 -
a^9*b*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a
^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12
*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c
*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*
b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*
B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2
+ 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4
+ 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2
*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d
)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*
b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*
c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 -
a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6
*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*
a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*
d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*
f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B
^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*
d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^
8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2)*1i)/(4*(
b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5
*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))/((16*(2*B^5*a^3*b^4*d^13 + 4*B^5*b^7*c^3*d^10 - 6*B^5*
a*b^6*d^13 + 4*B^5*b^7*c*d^12 - 9*B^5*a^2*b^5*c^3*d^10 + 4*B^5*a^2*b^5*c^5*d^8 - 12*B^5*a^3*b^4*c^2*d^11 - 14*
B^5*a^3*b^4*c^4*d^9 + 2*B^5*a^4*b^3*c^3*d^10 - 4*B^5*a^4*b^3*c^5*d^8 + 4*B^5*a^5*b^2*c^2*d^11 + 4*B^5*a^5*b^2*
c^4*d^9 - B^5*a^6*b*c*d^12 + 6*B^5*a*b^6*c^4*d^9 - 13*B^5*a^2*b^5*c*d^12 + 6*B^5*a^4*b^3*c*d^12 - B^5*a^6*b*c^
3*d^10))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((16*(c + d*tan(e + f*x))^(1/2
)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^12 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^
8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 - 8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10
+ 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^
7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 - 28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8
*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)
- (((8*(156*B^3*a^2*b^9*d^12*f^2 - 16*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f
^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 -
124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*
f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^
4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a
^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 +
28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4
*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^
3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^
11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f
^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4
- 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^
9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 640*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d
^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 + 16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^
5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(4*(B^2*a^6*d^2 + 4*B^2*b^6
*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12
*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*
c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2)*(32*b^17*d^10*
f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*
b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 +
624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*
a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c
*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 +
16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(b^10*c*f^2 + 4*a
^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b
^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^
2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f
^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 -
4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a
^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2
)) - (16*(c + d*tan(e + f*x))^(1/2)*(44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*
f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 -
12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 +
156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f
^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 124*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*
c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^
9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6
*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2
+ 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^
2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 -
4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^
6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)
))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2
*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^
2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*
b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*
b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 -
8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a
*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2
- 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*
a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*
b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)) - (((16*(c + d*tan(e + f*x))^(1/2)*(2*B^4*b^9*d^12 - 5*B^4*a^2*b^7*d^1
2 + 17*B^4*a^4*b^5*d^12 - 7*B^4*a^6*b^3*d^12 + 6*B^4*b^9*c^4*d^8 + B^4*a^8*b*d^12 + 77*B^4*a^2*b^7*c^2*d^10 -
8*B^4*a^2*b^7*c^4*d^8 + 60*B^4*a^3*b^6*c^3*d^9 - 87*B^4*a^4*b^5*c^2*d^10 + 14*B^4*a^4*b^5*c^4*d^8 - 36*B^4*a^5
*b^4*c^3*d^9 + 27*B^4*a^6*b^3*c^2*d^10 - 4*B^4*a^6*b^3*c^4*d^8 + 4*B^4*a^7*b^2*c^3*d^9 + 12*B^4*a*b^8*c*d^11 -
28*B^4*a*b^8*c^3*d^9 - 64*B^4*a^3*b^6*c*d^11 + 44*B^4*a^5*b^4*c*d^11 - 8*B^4*a^7*b^2*c*d^11 - B^4*a^8*b*c^2*d
^10))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4) + (((8*(156*B^3*a^2*b^9*d^12*f^2 - 1
6*B^3*a^4*b^7*d^12*f^2 - 120*B^3*a^6*b^5*d^12*f^2 + 48*B^3*a^8*b^3*d^12*f^2 + 12*B^3*b^11*c^2*d^10*f^2 + 12*B^
3*b^11*c^4*d^8*f^2 - 4*B^3*a^10*b*d^12*f^2 - 124*B^3*a*b^10*c*d^11*f^2 - 124*B^3*a*b^10*c^3*d^9*f^2 + 224*B^3*
a^3*b^8*c*d^11*f^2 + 200*B^3*a^5*b^6*c*d^11*f^2 - 128*B^3*a^7*b^4*c*d^11*f^2 + 20*B^3*a^9*b^2*c*d^11*f^2 - 4*B
^3*a^10*b*c^2*d^10*f^2 + 44*B^3*a^2*b^9*c^2*d^10*f^2 - 112*B^3*a^2*b^9*c^4*d^8*f^2 + 224*B^3*a^3*b^8*c^3*d^9*f
^2 - 40*B^3*a^4*b^7*c^2*d^10*f^2 - 24*B^3*a^4*b^7*c^4*d^8*f^2 + 200*B^3*a^5*b^6*c^3*d^9*f^2 - 40*B^3*a^6*b^5*c
^2*d^10*f^2 + 80*B^3*a^6*b^5*c^4*d^8*f^2 - 128*B^3*a^7*b^4*c^3*d^9*f^2 + 28*B^3*a^8*b^3*c^2*d^10*f^2 - 20*B^3*
a^8*b^3*c^4*d^8*f^2 + 20*B^3*a^9*b^2*c^3*d^9*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*
b^2*f^5) + (((((8*(80*B*a*b^14*d^11*f^4 - 48*B*b^15*c*d^10*f^4 + 384*B*a^3*b^12*d^11*f^4 + 720*B*a^5*b^10*d^11
*f^4 + 640*B*a^7*b^8*d^11*f^4 + 240*B*a^9*b^6*d^11*f^4 - 16*B*a^13*b^2*d^11*f^4 - 48*B*b^15*c^3*d^8*f^4 + 80*B
*a*b^14*c^2*d^9*f^4 - 224*B*a^2*b^13*c*d^10*f^4 - 400*B*a^4*b^11*c*d^10*f^4 - 320*B*a^6*b^9*c*d^10*f^4 - 80*B*
a^8*b^7*c*d^10*f^4 + 32*B*a^10*b^5*c*d^10*f^4 + 16*B*a^12*b^3*c*d^10*f^4 - 224*B*a^2*b^13*c^3*d^8*f^4 + 384*B*
a^3*b^12*c^2*d^9*f^4 - 400*B*a^4*b^11*c^3*d^8*f^4 + 720*B*a^5*b^10*c^2*d^9*f^4 - 320*B*a^6*b^9*c^3*d^8*f^4 + 6
40*B*a^7*b^8*c^2*d^9*f^4 - 80*B*a^8*b^7*c^3*d^8*f^4 + 240*B*a^9*b^6*c^2*d^9*f^4 + 32*B*a^10*b^5*c^3*d^8*f^4 +
16*B*a^12*b^3*c^3*d^8*f^4 - 16*B*a^13*b^2*c^2*d^9*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4
*a^6*b^2*f^5) + (4*(c + d*tan(e + f*x))^(1/2)*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*
b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^
10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d
*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^4
*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4
- 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*b
^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c^
2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 + 5
60*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 + b
^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^
6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)
))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2
*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^
2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*
b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*
b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(
44*B^2*a^9*b^4*d^11*f^2 - 168*B^2*a^5*b^8*d^11*f^2 - 40*B^2*a^7*b^6*d^11*f^2 - 20*B^2*a^3*b^10*d^11*f^2 - 4*B^
2*a^11*b^2*d^11*f^2 - 36*B^2*b^13*c^3*d^8*f^2 + 60*B^2*a*b^12*d^11*f^2 - 12*B^2*b^13*c*d^10*f^2 + 4*B^2*a^12*b
*c*d^10*f^2 + 100*B^2*a*b^12*c^2*d^9*f^2 + 120*B^2*a^2*b^11*c*d^10*f^2 + 156*B^2*a^4*b^9*c*d^10*f^2 - 112*B^2*
a^6*b^7*c*d^10*f^2 - 148*B^2*a^8*b^5*c*d^10*f^2 - 8*B^2*a^10*b^3*c*d^10*f^2 + 68*B^2*a^2*b^11*c^3*d^8*f^2 + 12
4*B^2*a^3*b^10*c^2*d^9*f^2 + 184*B^2*a^4*b^9*c^3*d^8*f^2 + 8*B^2*a^5*b^8*c^2*d^9*f^2 + 40*B^2*a^6*b^7*c^3*d^8*
f^2 + 24*B^2*a^7*b^6*c^2*d^9*f^2 - 20*B^2*a^8*b^5*c^3*d^8*f^2 + 20*B^2*a^9*b^4*c^2*d^9*f^2 + 20*B^2*a^10*b^3*c
^3*d^8*f^2 - 20*B^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)
)*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*
d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2
+ 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b
*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b
^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 -
8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*
b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 -
4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a
^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b
^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^
2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f
^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 -
4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2))^(1/2))/(4*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a
^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2
))))*(4*(B^2*a^6*d^2 + 4*B^2*b^6*c^2 - 8*B^2*a^2*b^4*c^2 + 4*B^2*a^4*b^2*c^2 + 9*B^2*a^2*b^4*d^2 - 6*B^2*a^4*b
^2*d^2 + 16*B^2*a^3*b^3*c*d - 12*B^2*a*b^5*c*d - 4*B^2*a^5*b*c*d)*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*
f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^
9*b*d*f^2))^(1/2)*1i)/(2*(b^10*c*f^2 + 4*a^2*b^8*c*f^2 + 6*a^4*b^6*c*f^2 + 4*a^6*b^4*c*f^2 + a^8*b^2*c*f^2 - 4
*a^3*b^7*d*f^2 - 6*a^5*b^5*d*f^2 - 4*a^7*b^3*d*f^2 - a*b^9*d*f^2 - a^9*b*d*f^2)) - (atan(((((((8*(128*A^3*a^3*
b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^3*b^11*c^3*d
^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b^10*c^4*d^8*
f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*a^8*b^3*c*d^
11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 - 168*A^3*a^5*
b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2*d^10*f^2 +
4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 +
4*a^6*b^2*f^5) + (((((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 480*A*a^8*b^7*
d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*c^3*d^8*f^4
+ 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6*c*d^10*f^4
+ 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^10*c^3*d^8*f
^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9*b^6*c^3*d^8
*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a*b^14*c*d^10
*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (4*(c + d*tan(e + f*x))^(1/2)*(-4
*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*
d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*
d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*f^4 + 288*a^
4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*b^5*d^10*f^4
- 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^4 + 720*a^6*
b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 16*a^14*b^3*c
^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*c*d^9*f^4 +
560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/((a^8*f^4 +
b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*
c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)))*(
-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*
c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^
4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6
*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d
*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A^2*a^7*b^6*d
^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b^12*d^11*f^2
- 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b^9*c*d^10*f^
2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2*a^2*b^11*c^
3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f^2 + 8*A^2*a
^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^2*d^9*f^2 +
4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 +
4*a^6*b^2*f^4))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*
c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^
6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4
*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8
*b*c*f^2 + a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2
*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 +
4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*
c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*
f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7*d^12 + 17*A
^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2*d^10 - 12*A
^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 - 24*A^4*a^5*b
^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c*d^11 + 60*A
^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*(A^2*b^5*d^2 + 16
*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^
9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*
d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*1i)/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 -
4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) - (((((8*(
128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 + 20*A^
3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^3*a*b
^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4*A^3*
a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f^2 -
168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^4*c^2
*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^
4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4 - 48
0*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*b^14*
c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^9*b^6
*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a^5*b^
10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*A*a^9
*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 64*A*a
*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (4*(c + d*tan(e + f*x
))^(1/2)*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*
A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2
+ 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*d^10*
f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*a^12*
b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d^8*f^
4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^4 - 1
6*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*b^10*
c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f^4))/
((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2
- 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^
8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d +
8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^
2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b
^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f
^2 + a*b^8*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 + 40*A
^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^2*a*b
^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*a^4*b
^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 116*A^2
*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*d^9*f
^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b^4*c^
2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a
^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*
A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^
2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b
^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2
*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*
d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6
*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*
d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 +
4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^2*b^7
*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^7*c^2
*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d^8 -
24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*b^6*c
*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*(A^2*
b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^
9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2
+ 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*1i)/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*
b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)
))/((16*(A^5*b^7*d^13 - 9*A^5*a^4*b^3*d^13 + 3*A^5*b^7*c^2*d^11 + 2*A^5*b^7*c^4*d^9 - 22*A^5*a^2*b^5*c^2*d^11
- 22*A^5*a^2*b^5*c^4*d^9 + 24*A^5*a^3*b^4*c^3*d^10 - 9*A^5*a^4*b^3*c^2*d^11 + 8*A^5*a*b^6*c^3*d^10 + 8*A^5*a*b
^6*c^5*d^8 + 24*A^5*a^3*b^4*c*d^12))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((
((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^12*f^2 +
20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^2 + 64*A^
3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^11*f^2 + 4
*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*c^3*d^9*f
^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A^3*a^7*b^
4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 +
6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9*d^11*f^4
- 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4 + 64*A*a*
b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 + 320*A*a^
9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4 + 640*A*a
^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f^4 + 320*
A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^9*f^4 + 6
4*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) - (4*(c + d*tan(e
+ f*x))^(1/2)*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d
+ 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d
*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*a^2*b^15*
d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f^4 - 160*
a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b^13*c^2*d
^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c^2*d^8*f^
4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 + 560*a^7*
b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^2*c*d^9*f
^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c
*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 +
a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c
*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6
*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*
a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*
b*c*f^2 + a*b^8*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d^11*f^2 +
40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^2 + 68*A^
2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2 + 48*A^2*
a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10*f^2 + 11
6*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5*b^8*c^2*
d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*A^2*a^9*b
^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4
+ 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2
- 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3
*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^
2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^
7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a
^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 -
4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*
(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f
^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 - 3*A^4*a^
2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A^4*a^2*b^
7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*b^5*c^4*d
^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56*A^4*a^3*
b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*
(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d
)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d
*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^
4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^
2)) + (((((8*(128*A^3*a^3*b^8*d^12*f^2 + 24*A^3*a^5*b^6*d^12*f^2 - 160*A^3*a^7*b^4*d^12*f^2 - 4*A^3*a^9*b^2*d^
12*f^2 + 20*A^3*b^11*c^3*d^9*f^2 - 52*A^3*a*b^10*d^12*f^2 + 20*A^3*b^11*c*d^11*f^2 + 12*A^3*a*b^10*c^2*d^10*f^
2 + 64*A^3*a*b^10*c^4*d^8*f^2 - 256*A^3*a^2*b^9*c*d^11*f^2 + 72*A^3*a^4*b^7*c*d^11*f^2 + 352*A^3*a^6*b^5*c*d^1
1*f^2 + 4*A^3*a^8*b^3*c*d^11*f^2 - 256*A^3*a^2*b^9*c^3*d^9*f^2 - 128*A^3*a^3*b^8*c^4*d^8*f^2 + 72*A^3*a^4*b^7*
c^3*d^9*f^2 - 168*A^3*a^5*b^6*c^2*d^10*f^2 - 192*A^3*a^5*b^6*c^4*d^8*f^2 + 352*A^3*a^6*b^5*c^3*d^9*f^2 - 160*A
^3*a^7*b^4*c^2*d^10*f^2 + 4*A^3*a^8*b^3*c^3*d^9*f^2 - 4*A^3*a^9*b^2*c^2*d^10*f^2))/(a^8*f^5 + b^8*f^5 + 4*a^2*
b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (((((8*(32*A*b^15*d^11*f^4 + 96*A*a^2*b^13*d^11*f^4 - 320*A*a^6*b^9
*d^11*f^4 - 480*A*a^8*b^7*d^11*f^4 - 288*A*a^10*b^5*d^11*f^4 - 64*A*a^12*b^3*d^11*f^4 + 32*A*b^15*c^2*d^9*f^4
+ 64*A*a*b^14*c^3*d^8*f^4 + 320*A*a^3*b^12*c*d^10*f^4 + 640*A*a^5*b^10*c*d^10*f^4 + 640*A*a^7*b^8*c*d^10*f^4 +
320*A*a^9*b^6*c*d^10*f^4 + 64*A*a^11*b^4*c*d^10*f^4 + 96*A*a^2*b^13*c^2*d^9*f^4 + 320*A*a^3*b^12*c^3*d^8*f^4
+ 640*A*a^5*b^10*c^3*d^8*f^4 - 320*A*a^6*b^9*c^2*d^9*f^4 + 640*A*a^7*b^8*c^3*d^8*f^4 - 480*A*a^8*b^7*c^2*d^9*f
^4 + 320*A*a^9*b^6*c^3*d^8*f^4 - 288*A*a^10*b^5*c^2*d^9*f^4 + 64*A*a^11*b^4*c^3*d^8*f^4 - 64*A*a^12*b^3*c^2*d^
9*f^4 + 64*A*a*b^14*c*d^10*f^4))/(a^8*f^5 + b^8*f^5 + 4*a^2*b^6*f^5 + 6*a^4*b^4*f^5 + 4*a^6*b^2*f^5) + (4*(c +
d*tan(e + f*x))^(1/2)*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^
3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*
a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*(32*b^17*d^10*f^4 + 160*
a^2*b^15*d^10*f^4 + 288*a^4*b^13*d^10*f^4 + 160*a^6*b^11*d^10*f^4 - 160*a^8*b^9*d^10*f^4 - 288*a^10*b^7*d^10*f
^4 - 160*a^12*b^5*d^10*f^4 - 32*a^14*b^3*d^10*f^4 + 48*b^17*c^2*d^8*f^4 + 272*a^2*b^15*c^2*d^8*f^4 + 624*a^4*b
^13*c^2*d^8*f^4 + 720*a^6*b^11*c^2*d^8*f^4 + 400*a^8*b^9*c^2*d^8*f^4 + 48*a^10*b^7*c^2*d^8*f^4 - 48*a^12*b^5*c
^2*d^8*f^4 - 16*a^14*b^3*c^2*d^8*f^4 + 16*a*b^16*c*d^9*f^4 + 112*a^3*b^14*c*d^9*f^4 + 336*a^5*b^12*c*d^9*f^4 +
560*a^7*b^10*c*d^9*f^4 + 560*a^9*b^8*c*d^9*f^4 + 336*a^11*b^6*c*d^9*f^4 + 112*a^13*b^4*c*d^9*f^4 + 16*a^15*b^
2*c*d^9*f^4))/((a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4)*(a^9*d*f^2 - b^9*c*f^2 - 4*
a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*
b*c*f^2 + a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*
a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 +
4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c
*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f
^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) - (16*(c + d*tan(e + f*x))^(1/2)*(20*A^2*a^3*b^10*d^11*f^2 - 88*A^2*a^5*b^8*d
^11*f^2 + 40*A^2*a^7*b^6*d^11*f^2 + 84*A^2*a^9*b^4*d^11*f^2 + 4*A^2*a^11*b^2*d^11*f^2 - 20*A^2*b^13*c^3*d^8*f^
2 + 68*A^2*a*b^12*d^11*f^2 - 8*A^2*b^13*c*d^10*f^2 + 116*A^2*a*b^12*c^2*d^9*f^2 + 104*A^2*a^2*b^11*c*d^10*f^2
+ 48*A^2*a^4*b^9*c*d^10*f^2 - 304*A^2*a^6*b^7*c*d^10*f^2 - 296*A^2*a^8*b^5*c*d^10*f^2 - 56*A^2*a^10*b^3*c*d^10
*f^2 + 116*A^2*a^2*b^11*c^3*d^8*f^2 + 204*A^2*a^3*b^10*c^2*d^9*f^2 + 216*A^2*a^4*b^9*c^3*d^8*f^2 + 168*A^2*a^5
*b^8*c^2*d^9*f^2 + 8*A^2*a^6*b^7*c^3*d^8*f^2 + 184*A^2*a^7*b^6*c^2*d^9*f^2 - 68*A^2*a^8*b^5*c^3*d^8*f^2 + 100*
A^2*a^9*b^4*c^2*d^9*f^2 + 4*A^2*a^10*b^3*c^3*d^8*f^2 - 4*A^2*a^11*b^2*c^2*d^9*f^2))/(a^8*f^4 + b^8*f^4 + 4*a^2
*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f^4))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a
^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 -
4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*
(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f
^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2
+ 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5
*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(
1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^
5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2)) + (16*(c + d*tan(e + f*x))^(1/2)*(3*A^4*b^9*d^12 -
3*A^4*a^2*b^7*d^12 + 17*A^4*a^4*b^5*d^12 - 9*A^4*a^6*b^3*d^12 + 3*A^4*b^9*c^2*d^10 + 2*A^4*b^9*c^4*d^8 + 63*A
^4*a^2*b^7*c^2*d^10 - 12*A^4*a^2*b^7*c^4*d^8 + 96*A^4*a^3*b^6*c^3*d^9 - 123*A^4*a^4*b^5*c^2*d^10 + 18*A^4*a^4*
b^5*c^4*d^8 - 24*A^4*a^5*b^4*c^3*d^9 + 9*A^4*a^6*b^3*c^2*d^10 + 12*A^4*a*b^8*c*d^11 - 8*A^4*a*b^8*c^3*d^9 - 56
*A^4*a^3*b^6*c*d^11 + 60*A^4*a^5*b^4*c*d^11))/(a^8*f^4 + b^8*f^4 + 4*a^2*b^6*f^4 + 6*a^4*b^4*f^4 + 4*a^6*b^2*f
^4))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*d + 8*A^2*
a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*
a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2))/(4*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f
^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a
*b^8*d*f^2))))*(-4*(A^2*b^5*d^2 + 16*A^2*a^2*b^3*c^2 - 6*A^2*a^2*b^3*d^2 + 9*A^2*a^4*b*d^2 - 24*A^2*a^3*b^2*c*
d + 8*A^2*a*b^4*c*d)*(a^9*d*f^2 - b^9*c*f^2 - 4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*
d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^8*b*c*f^2 + a*b^8*d*f^2))^(1/2)*1i)/(2*(a^9*d*f^2 - b^9*c*f^2 -
4*a^2*b^7*c*f^2 - 6*a^4*b^5*c*f^2 - 4*a^6*b^3*c*f^2 + 4*a^3*b^6*d*f^2 + 6*a^5*b^4*d*f^2 + 4*a^7*b^2*d*f^2 - a^
8*b*c*f^2 + a*b^8*d*f^2)) - (A*b*d*(c + d*tan(e + f*x))^(1/2))/((a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f
- b*c*f)) + (B*a*d*(c + d*tan(e + f*x))^(1/2))/((a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f)) - (C*a
^2*d*(c + d*tan(e + f*x))^(1/2))/(b*(a^2 + b^2)*(b*f*(c + d*tan(e + f*x)) + a*d*f - b*c*f))

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sympy [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sqrt {c + d \tan {\left (e + f x \right )}} \left (A + B \tan {\left (e + f x \right )} + C \tan ^{2}{\left (e + f x \right )}\right )}{\left (a + b \tan {\left (e + f x \right )}\right )^{2}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((c+d*tan(f*x+e))**(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))**2,x)

[Out]

Integral(sqrt(c + d*tan(e + f*x))*(A + B*tan(e + f*x) + C*tan(e + f*x)**2)/(a + b*tan(e + f*x))**2, x)

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